File: cpptraj.lyx

package info (click to toggle)
cpptraj 5.1.0%2Bdfsg-5
  • links: PTS, VCS
  • area: main
  • in suites: forky, sid
  • size: 139,188 kB
  • sloc: cpp: 145,622; ansic: 34,635; sh: 11,365; f90: 971; makefile: 770; awk: 242
file content (47873 lines) | stat: -rw-r--r-- 934,976 bytes parent folder | download | duplicates (2)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
8964
8965
8966
8967
8968
8969
8970
8971
8972
8973
8974
8975
8976
8977
8978
8979
8980
8981
8982
8983
8984
8985
8986
8987
8988
8989
8990
8991
8992
8993
8994
8995
8996
8997
8998
8999
9000
9001
9002
9003
9004
9005
9006
9007
9008
9009
9010
9011
9012
9013
9014
9015
9016
9017
9018
9019
9020
9021
9022
9023
9024
9025
9026
9027
9028
9029
9030
9031
9032
9033
9034
9035
9036
9037
9038
9039
9040
9041
9042
9043
9044
9045
9046
9047
9048
9049
9050
9051
9052
9053
9054
9055
9056
9057
9058
9059
9060
9061
9062
9063
9064
9065
9066
9067
9068
9069
9070
9071
9072
9073
9074
9075
9076
9077
9078
9079
9080
9081
9082
9083
9084
9085
9086
9087
9088
9089
9090
9091
9092
9093
9094
9095
9096
9097
9098
9099
9100
9101
9102
9103
9104
9105
9106
9107
9108
9109
9110
9111
9112
9113
9114
9115
9116
9117
9118
9119
9120
9121
9122
9123
9124
9125
9126
9127
9128
9129
9130
9131
9132
9133
9134
9135
9136
9137
9138
9139
9140
9141
9142
9143
9144
9145
9146
9147
9148
9149
9150
9151
9152
9153
9154
9155
9156
9157
9158
9159
9160
9161
9162
9163
9164
9165
9166
9167
9168
9169
9170
9171
9172
9173
9174
9175
9176
9177
9178
9179
9180
9181
9182
9183
9184
9185
9186
9187
9188
9189
9190
9191
9192
9193
9194
9195
9196
9197
9198
9199
9200
9201
9202
9203
9204
9205
9206
9207
9208
9209
9210
9211
9212
9213
9214
9215
9216
9217
9218
9219
9220
9221
9222
9223
9224
9225
9226
9227
9228
9229
9230
9231
9232
9233
9234
9235
9236
9237
9238
9239
9240
9241
9242
9243
9244
9245
9246
9247
9248
9249
9250
9251
9252
9253
9254
9255
9256
9257
9258
9259
9260
9261
9262
9263
9264
9265
9266
9267
9268
9269
9270
9271
9272
9273
9274
9275
9276
9277
9278
9279
9280
9281
9282
9283
9284
9285
9286
9287
9288
9289
9290
9291
9292
9293
9294
9295
9296
9297
9298
9299
9300
9301
9302
9303
9304
9305
9306
9307
9308
9309
9310
9311
9312
9313
9314
9315
9316
9317
9318
9319
9320
9321
9322
9323
9324
9325
9326
9327
9328
9329
9330
9331
9332
9333
9334
9335
9336
9337
9338
9339
9340
9341
9342
9343
9344
9345
9346
9347
9348
9349
9350
9351
9352
9353
9354
9355
9356
9357
9358
9359
9360
9361
9362
9363
9364
9365
9366
9367
9368
9369
9370
9371
9372
9373
9374
9375
9376
9377
9378
9379
9380
9381
9382
9383
9384
9385
9386
9387
9388
9389
9390
9391
9392
9393
9394
9395
9396
9397
9398
9399
9400
9401
9402
9403
9404
9405
9406
9407
9408
9409
9410
9411
9412
9413
9414
9415
9416
9417
9418
9419
9420
9421
9422
9423
9424
9425
9426
9427
9428
9429
9430
9431
9432
9433
9434
9435
9436
9437
9438
9439
9440
9441
9442
9443
9444
9445
9446
9447
9448
9449
9450
9451
9452
9453
9454
9455
9456
9457
9458
9459
9460
9461
9462
9463
9464
9465
9466
9467
9468
9469
9470
9471
9472
9473
9474
9475
9476
9477
9478
9479
9480
9481
9482
9483
9484
9485
9486
9487
9488
9489
9490
9491
9492
9493
9494
9495
9496
9497
9498
9499
9500
9501
9502
9503
9504
9505
9506
9507
9508
9509
9510
9511
9512
9513
9514
9515
9516
9517
9518
9519
9520
9521
9522
9523
9524
9525
9526
9527
9528
9529
9530
9531
9532
9533
9534
9535
9536
9537
9538
9539
9540
9541
9542
9543
9544
9545
9546
9547
9548
9549
9550
9551
9552
9553
9554
9555
9556
9557
9558
9559
9560
9561
9562
9563
9564
9565
9566
9567
9568
9569
9570
9571
9572
9573
9574
9575
9576
9577
9578
9579
9580
9581
9582
9583
9584
9585
9586
9587
9588
9589
9590
9591
9592
9593
9594
9595
9596
9597
9598
9599
9600
9601
9602
9603
9604
9605
9606
9607
9608
9609
9610
9611
9612
9613
9614
9615
9616
9617
9618
9619
9620
9621
9622
9623
9624
9625
9626
9627
9628
9629
9630
9631
9632
9633
9634
9635
9636
9637
9638
9639
9640
9641
9642
9643
9644
9645
9646
9647
9648
9649
9650
9651
9652
9653
9654
9655
9656
9657
9658
9659
9660
9661
9662
9663
9664
9665
9666
9667
9668
9669
9670
9671
9672
9673
9674
9675
9676
9677
9678
9679
9680
9681
9682
9683
9684
9685
9686
9687
9688
9689
9690
9691
9692
9693
9694
9695
9696
9697
9698
9699
9700
9701
9702
9703
9704
9705
9706
9707
9708
9709
9710
9711
9712
9713
9714
9715
9716
9717
9718
9719
9720
9721
9722
9723
9724
9725
9726
9727
9728
9729
9730
9731
9732
9733
9734
9735
9736
9737
9738
9739
9740
9741
9742
9743
9744
9745
9746
9747
9748
9749
9750
9751
9752
9753
9754
9755
9756
9757
9758
9759
9760
9761
9762
9763
9764
9765
9766
9767
9768
9769
9770
9771
9772
9773
9774
9775
9776
9777
9778
9779
9780
9781
9782
9783
9784
9785
9786
9787
9788
9789
9790
9791
9792
9793
9794
9795
9796
9797
9798
9799
9800
9801
9802
9803
9804
9805
9806
9807
9808
9809
9810
9811
9812
9813
9814
9815
9816
9817
9818
9819
9820
9821
9822
9823
9824
9825
9826
9827
9828
9829
9830
9831
9832
9833
9834
9835
9836
9837
9838
9839
9840
9841
9842
9843
9844
9845
9846
9847
9848
9849
9850
9851
9852
9853
9854
9855
9856
9857
9858
9859
9860
9861
9862
9863
9864
9865
9866
9867
9868
9869
9870
9871
9872
9873
9874
9875
9876
9877
9878
9879
9880
9881
9882
9883
9884
9885
9886
9887
9888
9889
9890
9891
9892
9893
9894
9895
9896
9897
9898
9899
9900
9901
9902
9903
9904
9905
9906
9907
9908
9909
9910
9911
9912
9913
9914
9915
9916
9917
9918
9919
9920
9921
9922
9923
9924
9925
9926
9927
9928
9929
9930
9931
9932
9933
9934
9935
9936
9937
9938
9939
9940
9941
9942
9943
9944
9945
9946
9947
9948
9949
9950
9951
9952
9953
9954
9955
9956
9957
9958
9959
9960
9961
9962
9963
9964
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
9975
9976
9977
9978
9979
9980
9981
9982
9983
9984
9985
9986
9987
9988
9989
9990
9991
9992
9993
9994
9995
9996
9997
9998
9999
10000
10001
10002
10003
10004
10005
10006
10007
10008
10009
10010
10011
10012
10013
10014
10015
10016
10017
10018
10019
10020
10021
10022
10023
10024
10025
10026
10027
10028
10029
10030
10031
10032
10033
10034
10035
10036
10037
10038
10039
10040
10041
10042
10043
10044
10045
10046
10047
10048
10049
10050
10051
10052
10053
10054
10055
10056
10057
10058
10059
10060
10061
10062
10063
10064
10065
10066
10067
10068
10069
10070
10071
10072
10073
10074
10075
10076
10077
10078
10079
10080
10081
10082
10083
10084
10085
10086
10087
10088
10089
10090
10091
10092
10093
10094
10095
10096
10097
10098
10099
10100
10101
10102
10103
10104
10105
10106
10107
10108
10109
10110
10111
10112
10113
10114
10115
10116
10117
10118
10119
10120
10121
10122
10123
10124
10125
10126
10127
10128
10129
10130
10131
10132
10133
10134
10135
10136
10137
10138
10139
10140
10141
10142
10143
10144
10145
10146
10147
10148
10149
10150
10151
10152
10153
10154
10155
10156
10157
10158
10159
10160
10161
10162
10163
10164
10165
10166
10167
10168
10169
10170
10171
10172
10173
10174
10175
10176
10177
10178
10179
10180
10181
10182
10183
10184
10185
10186
10187
10188
10189
10190
10191
10192
10193
10194
10195
10196
10197
10198
10199
10200
10201
10202
10203
10204
10205
10206
10207
10208
10209
10210
10211
10212
10213
10214
10215
10216
10217
10218
10219
10220
10221
10222
10223
10224
10225
10226
10227
10228
10229
10230
10231
10232
10233
10234
10235
10236
10237
10238
10239
10240
10241
10242
10243
10244
10245
10246
10247
10248
10249
10250
10251
10252
10253
10254
10255
10256
10257
10258
10259
10260
10261
10262
10263
10264
10265
10266
10267
10268
10269
10270
10271
10272
10273
10274
10275
10276
10277
10278
10279
10280
10281
10282
10283
10284
10285
10286
10287
10288
10289
10290
10291
10292
10293
10294
10295
10296
10297
10298
10299
10300
10301
10302
10303
10304
10305
10306
10307
10308
10309
10310
10311
10312
10313
10314
10315
10316
10317
10318
10319
10320
10321
10322
10323
10324
10325
10326
10327
10328
10329
10330
10331
10332
10333
10334
10335
10336
10337
10338
10339
10340
10341
10342
10343
10344
10345
10346
10347
10348
10349
10350
10351
10352
10353
10354
10355
10356
10357
10358
10359
10360
10361
10362
10363
10364
10365
10366
10367
10368
10369
10370
10371
10372
10373
10374
10375
10376
10377
10378
10379
10380
10381
10382
10383
10384
10385
10386
10387
10388
10389
10390
10391
10392
10393
10394
10395
10396
10397
10398
10399
10400
10401
10402
10403
10404
10405
10406
10407
10408
10409
10410
10411
10412
10413
10414
10415
10416
10417
10418
10419
10420
10421
10422
10423
10424
10425
10426
10427
10428
10429
10430
10431
10432
10433
10434
10435
10436
10437
10438
10439
10440
10441
10442
10443
10444
10445
10446
10447
10448
10449
10450
10451
10452
10453
10454
10455
10456
10457
10458
10459
10460
10461
10462
10463
10464
10465
10466
10467
10468
10469
10470
10471
10472
10473
10474
10475
10476
10477
10478
10479
10480
10481
10482
10483
10484
10485
10486
10487
10488
10489
10490
10491
10492
10493
10494
10495
10496
10497
10498
10499
10500
10501
10502
10503
10504
10505
10506
10507
10508
10509
10510
10511
10512
10513
10514
10515
10516
10517
10518
10519
10520
10521
10522
10523
10524
10525
10526
10527
10528
10529
10530
10531
10532
10533
10534
10535
10536
10537
10538
10539
10540
10541
10542
10543
10544
10545
10546
10547
10548
10549
10550
10551
10552
10553
10554
10555
10556
10557
10558
10559
10560
10561
10562
10563
10564
10565
10566
10567
10568
10569
10570
10571
10572
10573
10574
10575
10576
10577
10578
10579
10580
10581
10582
10583
10584
10585
10586
10587
10588
10589
10590
10591
10592
10593
10594
10595
10596
10597
10598
10599
10600
10601
10602
10603
10604
10605
10606
10607
10608
10609
10610
10611
10612
10613
10614
10615
10616
10617
10618
10619
10620
10621
10622
10623
10624
10625
10626
10627
10628
10629
10630
10631
10632
10633
10634
10635
10636
10637
10638
10639
10640
10641
10642
10643
10644
10645
10646
10647
10648
10649
10650
10651
10652
10653
10654
10655
10656
10657
10658
10659
10660
10661
10662
10663
10664
10665
10666
10667
10668
10669
10670
10671
10672
10673
10674
10675
10676
10677
10678
10679
10680
10681
10682
10683
10684
10685
10686
10687
10688
10689
10690
10691
10692
10693
10694
10695
10696
10697
10698
10699
10700
10701
10702
10703
10704
10705
10706
10707
10708
10709
10710
10711
10712
10713
10714
10715
10716
10717
10718
10719
10720
10721
10722
10723
10724
10725
10726
10727
10728
10729
10730
10731
10732
10733
10734
10735
10736
10737
10738
10739
10740
10741
10742
10743
10744
10745
10746
10747
10748
10749
10750
10751
10752
10753
10754
10755
10756
10757
10758
10759
10760
10761
10762
10763
10764
10765
10766
10767
10768
10769
10770
10771
10772
10773
10774
10775
10776
10777
10778
10779
10780
10781
10782
10783
10784
10785
10786
10787
10788
10789
10790
10791
10792
10793
10794
10795
10796
10797
10798
10799
10800
10801
10802
10803
10804
10805
10806
10807
10808
10809
10810
10811
10812
10813
10814
10815
10816
10817
10818
10819
10820
10821
10822
10823
10824
10825
10826
10827
10828
10829
10830
10831
10832
10833
10834
10835
10836
10837
10838
10839
10840
10841
10842
10843
10844
10845
10846
10847
10848
10849
10850
10851
10852
10853
10854
10855
10856
10857
10858
10859
10860
10861
10862
10863
10864
10865
10866
10867
10868
10869
10870
10871
10872
10873
10874
10875
10876
10877
10878
10879
10880
10881
10882
10883
10884
10885
10886
10887
10888
10889
10890
10891
10892
10893
10894
10895
10896
10897
10898
10899
10900
10901
10902
10903
10904
10905
10906
10907
10908
10909
10910
10911
10912
10913
10914
10915
10916
10917
10918
10919
10920
10921
10922
10923
10924
10925
10926
10927
10928
10929
10930
10931
10932
10933
10934
10935
10936
10937
10938
10939
10940
10941
10942
10943
10944
10945
10946
10947
10948
10949
10950
10951
10952
10953
10954
10955
10956
10957
10958
10959
10960
10961
10962
10963
10964
10965
10966
10967
10968
10969
10970
10971
10972
10973
10974
10975
10976
10977
10978
10979
10980
10981
10982
10983
10984
10985
10986
10987
10988
10989
10990
10991
10992
10993
10994
10995
10996
10997
10998
10999
11000
11001
11002
11003
11004
11005
11006
11007
11008
11009
11010
11011
11012
11013
11014
11015
11016
11017
11018
11019
11020
11021
11022
11023
11024
11025
11026
11027
11028
11029
11030
11031
11032
11033
11034
11035
11036
11037
11038
11039
11040
11041
11042
11043
11044
11045
11046
11047
11048
11049
11050
11051
11052
11053
11054
11055
11056
11057
11058
11059
11060
11061
11062
11063
11064
11065
11066
11067
11068
11069
11070
11071
11072
11073
11074
11075
11076
11077
11078
11079
11080
11081
11082
11083
11084
11085
11086
11087
11088
11089
11090
11091
11092
11093
11094
11095
11096
11097
11098
11099
11100
11101
11102
11103
11104
11105
11106
11107
11108
11109
11110
11111
11112
11113
11114
11115
11116
11117
11118
11119
11120
11121
11122
11123
11124
11125
11126
11127
11128
11129
11130
11131
11132
11133
11134
11135
11136
11137
11138
11139
11140
11141
11142
11143
11144
11145
11146
11147
11148
11149
11150
11151
11152
11153
11154
11155
11156
11157
11158
11159
11160
11161
11162
11163
11164
11165
11166
11167
11168
11169
11170
11171
11172
11173
11174
11175
11176
11177
11178
11179
11180
11181
11182
11183
11184
11185
11186
11187
11188
11189
11190
11191
11192
11193
11194
11195
11196
11197
11198
11199
11200
11201
11202
11203
11204
11205
11206
11207
11208
11209
11210
11211
11212
11213
11214
11215
11216
11217
11218
11219
11220
11221
11222
11223
11224
11225
11226
11227
11228
11229
11230
11231
11232
11233
11234
11235
11236
11237
11238
11239
11240
11241
11242
11243
11244
11245
11246
11247
11248
11249
11250
11251
11252
11253
11254
11255
11256
11257
11258
11259
11260
11261
11262
11263
11264
11265
11266
11267
11268
11269
11270
11271
11272
11273
11274
11275
11276
11277
11278
11279
11280
11281
11282
11283
11284
11285
11286
11287
11288
11289
11290
11291
11292
11293
11294
11295
11296
11297
11298
11299
11300
11301
11302
11303
11304
11305
11306
11307
11308
11309
11310
11311
11312
11313
11314
11315
11316
11317
11318
11319
11320
11321
11322
11323
11324
11325
11326
11327
11328
11329
11330
11331
11332
11333
11334
11335
11336
11337
11338
11339
11340
11341
11342
11343
11344
11345
11346
11347
11348
11349
11350
11351
11352
11353
11354
11355
11356
11357
11358
11359
11360
11361
11362
11363
11364
11365
11366
11367
11368
11369
11370
11371
11372
11373
11374
11375
11376
11377
11378
11379
11380
11381
11382
11383
11384
11385
11386
11387
11388
11389
11390
11391
11392
11393
11394
11395
11396
11397
11398
11399
11400
11401
11402
11403
11404
11405
11406
11407
11408
11409
11410
11411
11412
11413
11414
11415
11416
11417
11418
11419
11420
11421
11422
11423
11424
11425
11426
11427
11428
11429
11430
11431
11432
11433
11434
11435
11436
11437
11438
11439
11440
11441
11442
11443
11444
11445
11446
11447
11448
11449
11450
11451
11452
11453
11454
11455
11456
11457
11458
11459
11460
11461
11462
11463
11464
11465
11466
11467
11468
11469
11470
11471
11472
11473
11474
11475
11476
11477
11478
11479
11480
11481
11482
11483
11484
11485
11486
11487
11488
11489
11490
11491
11492
11493
11494
11495
11496
11497
11498
11499
11500
11501
11502
11503
11504
11505
11506
11507
11508
11509
11510
11511
11512
11513
11514
11515
11516
11517
11518
11519
11520
11521
11522
11523
11524
11525
11526
11527
11528
11529
11530
11531
11532
11533
11534
11535
11536
11537
11538
11539
11540
11541
11542
11543
11544
11545
11546
11547
11548
11549
11550
11551
11552
11553
11554
11555
11556
11557
11558
11559
11560
11561
11562
11563
11564
11565
11566
11567
11568
11569
11570
11571
11572
11573
11574
11575
11576
11577
11578
11579
11580
11581
11582
11583
11584
11585
11586
11587
11588
11589
11590
11591
11592
11593
11594
11595
11596
11597
11598
11599
11600
11601
11602
11603
11604
11605
11606
11607
11608
11609
11610
11611
11612
11613
11614
11615
11616
11617
11618
11619
11620
11621
11622
11623
11624
11625
11626
11627
11628
11629
11630
11631
11632
11633
11634
11635
11636
11637
11638
11639
11640
11641
11642
11643
11644
11645
11646
11647
11648
11649
11650
11651
11652
11653
11654
11655
11656
11657
11658
11659
11660
11661
11662
11663
11664
11665
11666
11667
11668
11669
11670
11671
11672
11673
11674
11675
11676
11677
11678
11679
11680
11681
11682
11683
11684
11685
11686
11687
11688
11689
11690
11691
11692
11693
11694
11695
11696
11697
11698
11699
11700
11701
11702
11703
11704
11705
11706
11707
11708
11709
11710
11711
11712
11713
11714
11715
11716
11717
11718
11719
11720
11721
11722
11723
11724
11725
11726
11727
11728
11729
11730
11731
11732
11733
11734
11735
11736
11737
11738
11739
11740
11741
11742
11743
11744
11745
11746
11747
11748
11749
11750
11751
11752
11753
11754
11755
11756
11757
11758
11759
11760
11761
11762
11763
11764
11765
11766
11767
11768
11769
11770
11771
11772
11773
11774
11775
11776
11777
11778
11779
11780
11781
11782
11783
11784
11785
11786
11787
11788
11789
11790
11791
11792
11793
11794
11795
11796
11797
11798
11799
11800
11801
11802
11803
11804
11805
11806
11807
11808
11809
11810
11811
11812
11813
11814
11815
11816
11817
11818
11819
11820
11821
11822
11823
11824
11825
11826
11827
11828
11829
11830
11831
11832
11833
11834
11835
11836
11837
11838
11839
11840
11841
11842
11843
11844
11845
11846
11847
11848
11849
11850
11851
11852
11853
11854
11855
11856
11857
11858
11859
11860
11861
11862
11863
11864
11865
11866
11867
11868
11869
11870
11871
11872
11873
11874
11875
11876
11877
11878
11879
11880
11881
11882
11883
11884
11885
11886
11887
11888
11889
11890
11891
11892
11893
11894
11895
11896
11897
11898
11899
11900
11901
11902
11903
11904
11905
11906
11907
11908
11909
11910
11911
11912
11913
11914
11915
11916
11917
11918
11919
11920
11921
11922
11923
11924
11925
11926
11927
11928
11929
11930
11931
11932
11933
11934
11935
11936
11937
11938
11939
11940
11941
11942
11943
11944
11945
11946
11947
11948
11949
11950
11951
11952
11953
11954
11955
11956
11957
11958
11959
11960
11961
11962
11963
11964
11965
11966
11967
11968
11969
11970
11971
11972
11973
11974
11975
11976
11977
11978
11979
11980
11981
11982
11983
11984
11985
11986
11987
11988
11989
11990
11991
11992
11993
11994
11995
11996
11997
11998
11999
12000
12001
12002
12003
12004
12005
12006
12007
12008
12009
12010
12011
12012
12013
12014
12015
12016
12017
12018
12019
12020
12021
12022
12023
12024
12025
12026
12027
12028
12029
12030
12031
12032
12033
12034
12035
12036
12037
12038
12039
12040
12041
12042
12043
12044
12045
12046
12047
12048
12049
12050
12051
12052
12053
12054
12055
12056
12057
12058
12059
12060
12061
12062
12063
12064
12065
12066
12067
12068
12069
12070
12071
12072
12073
12074
12075
12076
12077
12078
12079
12080
12081
12082
12083
12084
12085
12086
12087
12088
12089
12090
12091
12092
12093
12094
12095
12096
12097
12098
12099
12100
12101
12102
12103
12104
12105
12106
12107
12108
12109
12110
12111
12112
12113
12114
12115
12116
12117
12118
12119
12120
12121
12122
12123
12124
12125
12126
12127
12128
12129
12130
12131
12132
12133
12134
12135
12136
12137
12138
12139
12140
12141
12142
12143
12144
12145
12146
12147
12148
12149
12150
12151
12152
12153
12154
12155
12156
12157
12158
12159
12160
12161
12162
12163
12164
12165
12166
12167
12168
12169
12170
12171
12172
12173
12174
12175
12176
12177
12178
12179
12180
12181
12182
12183
12184
12185
12186
12187
12188
12189
12190
12191
12192
12193
12194
12195
12196
12197
12198
12199
12200
12201
12202
12203
12204
12205
12206
12207
12208
12209
12210
12211
12212
12213
12214
12215
12216
12217
12218
12219
12220
12221
12222
12223
12224
12225
12226
12227
12228
12229
12230
12231
12232
12233
12234
12235
12236
12237
12238
12239
12240
12241
12242
12243
12244
12245
12246
12247
12248
12249
12250
12251
12252
12253
12254
12255
12256
12257
12258
12259
12260
12261
12262
12263
12264
12265
12266
12267
12268
12269
12270
12271
12272
12273
12274
12275
12276
12277
12278
12279
12280
12281
12282
12283
12284
12285
12286
12287
12288
12289
12290
12291
12292
12293
12294
12295
12296
12297
12298
12299
12300
12301
12302
12303
12304
12305
12306
12307
12308
12309
12310
12311
12312
12313
12314
12315
12316
12317
12318
12319
12320
12321
12322
12323
12324
12325
12326
12327
12328
12329
12330
12331
12332
12333
12334
12335
12336
12337
12338
12339
12340
12341
12342
12343
12344
12345
12346
12347
12348
12349
12350
12351
12352
12353
12354
12355
12356
12357
12358
12359
12360
12361
12362
12363
12364
12365
12366
12367
12368
12369
12370
12371
12372
12373
12374
12375
12376
12377
12378
12379
12380
12381
12382
12383
12384
12385
12386
12387
12388
12389
12390
12391
12392
12393
12394
12395
12396
12397
12398
12399
12400
12401
12402
12403
12404
12405
12406
12407
12408
12409
12410
12411
12412
12413
12414
12415
12416
12417
12418
12419
12420
12421
12422
12423
12424
12425
12426
12427
12428
12429
12430
12431
12432
12433
12434
12435
12436
12437
12438
12439
12440
12441
12442
12443
12444
12445
12446
12447
12448
12449
12450
12451
12452
12453
12454
12455
12456
12457
12458
12459
12460
12461
12462
12463
12464
12465
12466
12467
12468
12469
12470
12471
12472
12473
12474
12475
12476
12477
12478
12479
12480
12481
12482
12483
12484
12485
12486
12487
12488
12489
12490
12491
12492
12493
12494
12495
12496
12497
12498
12499
12500
12501
12502
12503
12504
12505
12506
12507
12508
12509
12510
12511
12512
12513
12514
12515
12516
12517
12518
12519
12520
12521
12522
12523
12524
12525
12526
12527
12528
12529
12530
12531
12532
12533
12534
12535
12536
12537
12538
12539
12540
12541
12542
12543
12544
12545
12546
12547
12548
12549
12550
12551
12552
12553
12554
12555
12556
12557
12558
12559
12560
12561
12562
12563
12564
12565
12566
12567
12568
12569
12570
12571
12572
12573
12574
12575
12576
12577
12578
12579
12580
12581
12582
12583
12584
12585
12586
12587
12588
12589
12590
12591
12592
12593
12594
12595
12596
12597
12598
12599
12600
12601
12602
12603
12604
12605
12606
12607
12608
12609
12610
12611
12612
12613
12614
12615
12616
12617
12618
12619
12620
12621
12622
12623
12624
12625
12626
12627
12628
12629
12630
12631
12632
12633
12634
12635
12636
12637
12638
12639
12640
12641
12642
12643
12644
12645
12646
12647
12648
12649
12650
12651
12652
12653
12654
12655
12656
12657
12658
12659
12660
12661
12662
12663
12664
12665
12666
12667
12668
12669
12670
12671
12672
12673
12674
12675
12676
12677
12678
12679
12680
12681
12682
12683
12684
12685
12686
12687
12688
12689
12690
12691
12692
12693
12694
12695
12696
12697
12698
12699
12700
12701
12702
12703
12704
12705
12706
12707
12708
12709
12710
12711
12712
12713
12714
12715
12716
12717
12718
12719
12720
12721
12722
12723
12724
12725
12726
12727
12728
12729
12730
12731
12732
12733
12734
12735
12736
12737
12738
12739
12740
12741
12742
12743
12744
12745
12746
12747
12748
12749
12750
12751
12752
12753
12754
12755
12756
12757
12758
12759
12760
12761
12762
12763
12764
12765
12766
12767
12768
12769
12770
12771
12772
12773
12774
12775
12776
12777
12778
12779
12780
12781
12782
12783
12784
12785
12786
12787
12788
12789
12790
12791
12792
12793
12794
12795
12796
12797
12798
12799
12800
12801
12802
12803
12804
12805
12806
12807
12808
12809
12810
12811
12812
12813
12814
12815
12816
12817
12818
12819
12820
12821
12822
12823
12824
12825
12826
12827
12828
12829
12830
12831
12832
12833
12834
12835
12836
12837
12838
12839
12840
12841
12842
12843
12844
12845
12846
12847
12848
12849
12850
12851
12852
12853
12854
12855
12856
12857
12858
12859
12860
12861
12862
12863
12864
12865
12866
12867
12868
12869
12870
12871
12872
12873
12874
12875
12876
12877
12878
12879
12880
12881
12882
12883
12884
12885
12886
12887
12888
12889
12890
12891
12892
12893
12894
12895
12896
12897
12898
12899
12900
12901
12902
12903
12904
12905
12906
12907
12908
12909
12910
12911
12912
12913
12914
12915
12916
12917
12918
12919
12920
12921
12922
12923
12924
12925
12926
12927
12928
12929
12930
12931
12932
12933
12934
12935
12936
12937
12938
12939
12940
12941
12942
12943
12944
12945
12946
12947
12948
12949
12950
12951
12952
12953
12954
12955
12956
12957
12958
12959
12960
12961
12962
12963
12964
12965
12966
12967
12968
12969
12970
12971
12972
12973
12974
12975
12976
12977
12978
12979
12980
12981
12982
12983
12984
12985
12986
12987
12988
12989
12990
12991
12992
12993
12994
12995
12996
12997
12998
12999
13000
13001
13002
13003
13004
13005
13006
13007
13008
13009
13010
13011
13012
13013
13014
13015
13016
13017
13018
13019
13020
13021
13022
13023
13024
13025
13026
13027
13028
13029
13030
13031
13032
13033
13034
13035
13036
13037
13038
13039
13040
13041
13042
13043
13044
13045
13046
13047
13048
13049
13050
13051
13052
13053
13054
13055
13056
13057
13058
13059
13060
13061
13062
13063
13064
13065
13066
13067
13068
13069
13070
13071
13072
13073
13074
13075
13076
13077
13078
13079
13080
13081
13082
13083
13084
13085
13086
13087
13088
13089
13090
13091
13092
13093
13094
13095
13096
13097
13098
13099
13100
13101
13102
13103
13104
13105
13106
13107
13108
13109
13110
13111
13112
13113
13114
13115
13116
13117
13118
13119
13120
13121
13122
13123
13124
13125
13126
13127
13128
13129
13130
13131
13132
13133
13134
13135
13136
13137
13138
13139
13140
13141
13142
13143
13144
13145
13146
13147
13148
13149
13150
13151
13152
13153
13154
13155
13156
13157
13158
13159
13160
13161
13162
13163
13164
13165
13166
13167
13168
13169
13170
13171
13172
13173
13174
13175
13176
13177
13178
13179
13180
13181
13182
13183
13184
13185
13186
13187
13188
13189
13190
13191
13192
13193
13194
13195
13196
13197
13198
13199
13200
13201
13202
13203
13204
13205
13206
13207
13208
13209
13210
13211
13212
13213
13214
13215
13216
13217
13218
13219
13220
13221
13222
13223
13224
13225
13226
13227
13228
13229
13230
13231
13232
13233
13234
13235
13236
13237
13238
13239
13240
13241
13242
13243
13244
13245
13246
13247
13248
13249
13250
13251
13252
13253
13254
13255
13256
13257
13258
13259
13260
13261
13262
13263
13264
13265
13266
13267
13268
13269
13270
13271
13272
13273
13274
13275
13276
13277
13278
13279
13280
13281
13282
13283
13284
13285
13286
13287
13288
13289
13290
13291
13292
13293
13294
13295
13296
13297
13298
13299
13300
13301
13302
13303
13304
13305
13306
13307
13308
13309
13310
13311
13312
13313
13314
13315
13316
13317
13318
13319
13320
13321
13322
13323
13324
13325
13326
13327
13328
13329
13330
13331
13332
13333
13334
13335
13336
13337
13338
13339
13340
13341
13342
13343
13344
13345
13346
13347
13348
13349
13350
13351
13352
13353
13354
13355
13356
13357
13358
13359
13360
13361
13362
13363
13364
13365
13366
13367
13368
13369
13370
13371
13372
13373
13374
13375
13376
13377
13378
13379
13380
13381
13382
13383
13384
13385
13386
13387
13388
13389
13390
13391
13392
13393
13394
13395
13396
13397
13398
13399
13400
13401
13402
13403
13404
13405
13406
13407
13408
13409
13410
13411
13412
13413
13414
13415
13416
13417
13418
13419
13420
13421
13422
13423
13424
13425
13426
13427
13428
13429
13430
13431
13432
13433
13434
13435
13436
13437
13438
13439
13440
13441
13442
13443
13444
13445
13446
13447
13448
13449
13450
13451
13452
13453
13454
13455
13456
13457
13458
13459
13460
13461
13462
13463
13464
13465
13466
13467
13468
13469
13470
13471
13472
13473
13474
13475
13476
13477
13478
13479
13480
13481
13482
13483
13484
13485
13486
13487
13488
13489
13490
13491
13492
13493
13494
13495
13496
13497
13498
13499
13500
13501
13502
13503
13504
13505
13506
13507
13508
13509
13510
13511
13512
13513
13514
13515
13516
13517
13518
13519
13520
13521
13522
13523
13524
13525
13526
13527
13528
13529
13530
13531
13532
13533
13534
13535
13536
13537
13538
13539
13540
13541
13542
13543
13544
13545
13546
13547
13548
13549
13550
13551
13552
13553
13554
13555
13556
13557
13558
13559
13560
13561
13562
13563
13564
13565
13566
13567
13568
13569
13570
13571
13572
13573
13574
13575
13576
13577
13578
13579
13580
13581
13582
13583
13584
13585
13586
13587
13588
13589
13590
13591
13592
13593
13594
13595
13596
13597
13598
13599
13600
13601
13602
13603
13604
13605
13606
13607
13608
13609
13610
13611
13612
13613
13614
13615
13616
13617
13618
13619
13620
13621
13622
13623
13624
13625
13626
13627
13628
13629
13630
13631
13632
13633
13634
13635
13636
13637
13638
13639
13640
13641
13642
13643
13644
13645
13646
13647
13648
13649
13650
13651
13652
13653
13654
13655
13656
13657
13658
13659
13660
13661
13662
13663
13664
13665
13666
13667
13668
13669
13670
13671
13672
13673
13674
13675
13676
13677
13678
13679
13680
13681
13682
13683
13684
13685
13686
13687
13688
13689
13690
13691
13692
13693
13694
13695
13696
13697
13698
13699
13700
13701
13702
13703
13704
13705
13706
13707
13708
13709
13710
13711
13712
13713
13714
13715
13716
13717
13718
13719
13720
13721
13722
13723
13724
13725
13726
13727
13728
13729
13730
13731
13732
13733
13734
13735
13736
13737
13738
13739
13740
13741
13742
13743
13744
13745
13746
13747
13748
13749
13750
13751
13752
13753
13754
13755
13756
13757
13758
13759
13760
13761
13762
13763
13764
13765
13766
13767
13768
13769
13770
13771
13772
13773
13774
13775
13776
13777
13778
13779
13780
13781
13782
13783
13784
13785
13786
13787
13788
13789
13790
13791
13792
13793
13794
13795
13796
13797
13798
13799
13800
13801
13802
13803
13804
13805
13806
13807
13808
13809
13810
13811
13812
13813
13814
13815
13816
13817
13818
13819
13820
13821
13822
13823
13824
13825
13826
13827
13828
13829
13830
13831
13832
13833
13834
13835
13836
13837
13838
13839
13840
13841
13842
13843
13844
13845
13846
13847
13848
13849
13850
13851
13852
13853
13854
13855
13856
13857
13858
13859
13860
13861
13862
13863
13864
13865
13866
13867
13868
13869
13870
13871
13872
13873
13874
13875
13876
13877
13878
13879
13880
13881
13882
13883
13884
13885
13886
13887
13888
13889
13890
13891
13892
13893
13894
13895
13896
13897
13898
13899
13900
13901
13902
13903
13904
13905
13906
13907
13908
13909
13910
13911
13912
13913
13914
13915
13916
13917
13918
13919
13920
13921
13922
13923
13924
13925
13926
13927
13928
13929
13930
13931
13932
13933
13934
13935
13936
13937
13938
13939
13940
13941
13942
13943
13944
13945
13946
13947
13948
13949
13950
13951
13952
13953
13954
13955
13956
13957
13958
13959
13960
13961
13962
13963
13964
13965
13966
13967
13968
13969
13970
13971
13972
13973
13974
13975
13976
13977
13978
13979
13980
13981
13982
13983
13984
13985
13986
13987
13988
13989
13990
13991
13992
13993
13994
13995
13996
13997
13998
13999
14000
14001
14002
14003
14004
14005
14006
14007
14008
14009
14010
14011
14012
14013
14014
14015
14016
14017
14018
14019
14020
14021
14022
14023
14024
14025
14026
14027
14028
14029
14030
14031
14032
14033
14034
14035
14036
14037
14038
14039
14040
14041
14042
14043
14044
14045
14046
14047
14048
14049
14050
14051
14052
14053
14054
14055
14056
14057
14058
14059
14060
14061
14062
14063
14064
14065
14066
14067
14068
14069
14070
14071
14072
14073
14074
14075
14076
14077
14078
14079
14080
14081
14082
14083
14084
14085
14086
14087
14088
14089
14090
14091
14092
14093
14094
14095
14096
14097
14098
14099
14100
14101
14102
14103
14104
14105
14106
14107
14108
14109
14110
14111
14112
14113
14114
14115
14116
14117
14118
14119
14120
14121
14122
14123
14124
14125
14126
14127
14128
14129
14130
14131
14132
14133
14134
14135
14136
14137
14138
14139
14140
14141
14142
14143
14144
14145
14146
14147
14148
14149
14150
14151
14152
14153
14154
14155
14156
14157
14158
14159
14160
14161
14162
14163
14164
14165
14166
14167
14168
14169
14170
14171
14172
14173
14174
14175
14176
14177
14178
14179
14180
14181
14182
14183
14184
14185
14186
14187
14188
14189
14190
14191
14192
14193
14194
14195
14196
14197
14198
14199
14200
14201
14202
14203
14204
14205
14206
14207
14208
14209
14210
14211
14212
14213
14214
14215
14216
14217
14218
14219
14220
14221
14222
14223
14224
14225
14226
14227
14228
14229
14230
14231
14232
14233
14234
14235
14236
14237
14238
14239
14240
14241
14242
14243
14244
14245
14246
14247
14248
14249
14250
14251
14252
14253
14254
14255
14256
14257
14258
14259
14260
14261
14262
14263
14264
14265
14266
14267
14268
14269
14270
14271
14272
14273
14274
14275
14276
14277
14278
14279
14280
14281
14282
14283
14284
14285
14286
14287
14288
14289
14290
14291
14292
14293
14294
14295
14296
14297
14298
14299
14300
14301
14302
14303
14304
14305
14306
14307
14308
14309
14310
14311
14312
14313
14314
14315
14316
14317
14318
14319
14320
14321
14322
14323
14324
14325
14326
14327
14328
14329
14330
14331
14332
14333
14334
14335
14336
14337
14338
14339
14340
14341
14342
14343
14344
14345
14346
14347
14348
14349
14350
14351
14352
14353
14354
14355
14356
14357
14358
14359
14360
14361
14362
14363
14364
14365
14366
14367
14368
14369
14370
14371
14372
14373
14374
14375
14376
14377
14378
14379
14380
14381
14382
14383
14384
14385
14386
14387
14388
14389
14390
14391
14392
14393
14394
14395
14396
14397
14398
14399
14400
14401
14402
14403
14404
14405
14406
14407
14408
14409
14410
14411
14412
14413
14414
14415
14416
14417
14418
14419
14420
14421
14422
14423
14424
14425
14426
14427
14428
14429
14430
14431
14432
14433
14434
14435
14436
14437
14438
14439
14440
14441
14442
14443
14444
14445
14446
14447
14448
14449
14450
14451
14452
14453
14454
14455
14456
14457
14458
14459
14460
14461
14462
14463
14464
14465
14466
14467
14468
14469
14470
14471
14472
14473
14474
14475
14476
14477
14478
14479
14480
14481
14482
14483
14484
14485
14486
14487
14488
14489
14490
14491
14492
14493
14494
14495
14496
14497
14498
14499
14500
14501
14502
14503
14504
14505
14506
14507
14508
14509
14510
14511
14512
14513
14514
14515
14516
14517
14518
14519
14520
14521
14522
14523
14524
14525
14526
14527
14528
14529
14530
14531
14532
14533
14534
14535
14536
14537
14538
14539
14540
14541
14542
14543
14544
14545
14546
14547
14548
14549
14550
14551
14552
14553
14554
14555
14556
14557
14558
14559
14560
14561
14562
14563
14564
14565
14566
14567
14568
14569
14570
14571
14572
14573
14574
14575
14576
14577
14578
14579
14580
14581
14582
14583
14584
14585
14586
14587
14588
14589
14590
14591
14592
14593
14594
14595
14596
14597
14598
14599
14600
14601
14602
14603
14604
14605
14606
14607
14608
14609
14610
14611
14612
14613
14614
14615
14616
14617
14618
14619
14620
14621
14622
14623
14624
14625
14626
14627
14628
14629
14630
14631
14632
14633
14634
14635
14636
14637
14638
14639
14640
14641
14642
14643
14644
14645
14646
14647
14648
14649
14650
14651
14652
14653
14654
14655
14656
14657
14658
14659
14660
14661
14662
14663
14664
14665
14666
14667
14668
14669
14670
14671
14672
14673
14674
14675
14676
14677
14678
14679
14680
14681
14682
14683
14684
14685
14686
14687
14688
14689
14690
14691
14692
14693
14694
14695
14696
14697
14698
14699
14700
14701
14702
14703
14704
14705
14706
14707
14708
14709
14710
14711
14712
14713
14714
14715
14716
14717
14718
14719
14720
14721
14722
14723
14724
14725
14726
14727
14728
14729
14730
14731
14732
14733
14734
14735
14736
14737
14738
14739
14740
14741
14742
14743
14744
14745
14746
14747
14748
14749
14750
14751
14752
14753
14754
14755
14756
14757
14758
14759
14760
14761
14762
14763
14764
14765
14766
14767
14768
14769
14770
14771
14772
14773
14774
14775
14776
14777
14778
14779
14780
14781
14782
14783
14784
14785
14786
14787
14788
14789
14790
14791
14792
14793
14794
14795
14796
14797
14798
14799
14800
14801
14802
14803
14804
14805
14806
14807
14808
14809
14810
14811
14812
14813
14814
14815
14816
14817
14818
14819
14820
14821
14822
14823
14824
14825
14826
14827
14828
14829
14830
14831
14832
14833
14834
14835
14836
14837
14838
14839
14840
14841
14842
14843
14844
14845
14846
14847
14848
14849
14850
14851
14852
14853
14854
14855
14856
14857
14858
14859
14860
14861
14862
14863
14864
14865
14866
14867
14868
14869
14870
14871
14872
14873
14874
14875
14876
14877
14878
14879
14880
14881
14882
14883
14884
14885
14886
14887
14888
14889
14890
14891
14892
14893
14894
14895
14896
14897
14898
14899
14900
14901
14902
14903
14904
14905
14906
14907
14908
14909
14910
14911
14912
14913
14914
14915
14916
14917
14918
14919
14920
14921
14922
14923
14924
14925
14926
14927
14928
14929
14930
14931
14932
14933
14934
14935
14936
14937
14938
14939
14940
14941
14942
14943
14944
14945
14946
14947
14948
14949
14950
14951
14952
14953
14954
14955
14956
14957
14958
14959
14960
14961
14962
14963
14964
14965
14966
14967
14968
14969
14970
14971
14972
14973
14974
14975
14976
14977
14978
14979
14980
14981
14982
14983
14984
14985
14986
14987
14988
14989
14990
14991
14992
14993
14994
14995
14996
14997
14998
14999
15000
15001
15002
15003
15004
15005
15006
15007
15008
15009
15010
15011
15012
15013
15014
15015
15016
15017
15018
15019
15020
15021
15022
15023
15024
15025
15026
15027
15028
15029
15030
15031
15032
15033
15034
15035
15036
15037
15038
15039
15040
15041
15042
15043
15044
15045
15046
15047
15048
15049
15050
15051
15052
15053
15054
15055
15056
15057
15058
15059
15060
15061
15062
15063
15064
15065
15066
15067
15068
15069
15070
15071
15072
15073
15074
15075
15076
15077
15078
15079
15080
15081
15082
15083
15084
15085
15086
15087
15088
15089
15090
15091
15092
15093
15094
15095
15096
15097
15098
15099
15100
15101
15102
15103
15104
15105
15106
15107
15108
15109
15110
15111
15112
15113
15114
15115
15116
15117
15118
15119
15120
15121
15122
15123
15124
15125
15126
15127
15128
15129
15130
15131
15132
15133
15134
15135
15136
15137
15138
15139
15140
15141
15142
15143
15144
15145
15146
15147
15148
15149
15150
15151
15152
15153
15154
15155
15156
15157
15158
15159
15160
15161
15162
15163
15164
15165
15166
15167
15168
15169
15170
15171
15172
15173
15174
15175
15176
15177
15178
15179
15180
15181
15182
15183
15184
15185
15186
15187
15188
15189
15190
15191
15192
15193
15194
15195
15196
15197
15198
15199
15200
15201
15202
15203
15204
15205
15206
15207
15208
15209
15210
15211
15212
15213
15214
15215
15216
15217
15218
15219
15220
15221
15222
15223
15224
15225
15226
15227
15228
15229
15230
15231
15232
15233
15234
15235
15236
15237
15238
15239
15240
15241
15242
15243
15244
15245
15246
15247
15248
15249
15250
15251
15252
15253
15254
15255
15256
15257
15258
15259
15260
15261
15262
15263
15264
15265
15266
15267
15268
15269
15270
15271
15272
15273
15274
15275
15276
15277
15278
15279
15280
15281
15282
15283
15284
15285
15286
15287
15288
15289
15290
15291
15292
15293
15294
15295
15296
15297
15298
15299
15300
15301
15302
15303
15304
15305
15306
15307
15308
15309
15310
15311
15312
15313
15314
15315
15316
15317
15318
15319
15320
15321
15322
15323
15324
15325
15326
15327
15328
15329
15330
15331
15332
15333
15334
15335
15336
15337
15338
15339
15340
15341
15342
15343
15344
15345
15346
15347
15348
15349
15350
15351
15352
15353
15354
15355
15356
15357
15358
15359
15360
15361
15362
15363
15364
15365
15366
15367
15368
15369
15370
15371
15372
15373
15374
15375
15376
15377
15378
15379
15380
15381
15382
15383
15384
15385
15386
15387
15388
15389
15390
15391
15392
15393
15394
15395
15396
15397
15398
15399
15400
15401
15402
15403
15404
15405
15406
15407
15408
15409
15410
15411
15412
15413
15414
15415
15416
15417
15418
15419
15420
15421
15422
15423
15424
15425
15426
15427
15428
15429
15430
15431
15432
15433
15434
15435
15436
15437
15438
15439
15440
15441
15442
15443
15444
15445
15446
15447
15448
15449
15450
15451
15452
15453
15454
15455
15456
15457
15458
15459
15460
15461
15462
15463
15464
15465
15466
15467
15468
15469
15470
15471
15472
15473
15474
15475
15476
15477
15478
15479
15480
15481
15482
15483
15484
15485
15486
15487
15488
15489
15490
15491
15492
15493
15494
15495
15496
15497
15498
15499
15500
15501
15502
15503
15504
15505
15506
15507
15508
15509
15510
15511
15512
15513
15514
15515
15516
15517
15518
15519
15520
15521
15522
15523
15524
15525
15526
15527
15528
15529
15530
15531
15532
15533
15534
15535
15536
15537
15538
15539
15540
15541
15542
15543
15544
15545
15546
15547
15548
15549
15550
15551
15552
15553
15554
15555
15556
15557
15558
15559
15560
15561
15562
15563
15564
15565
15566
15567
15568
15569
15570
15571
15572
15573
15574
15575
15576
15577
15578
15579
15580
15581
15582
15583
15584
15585
15586
15587
15588
15589
15590
15591
15592
15593
15594
15595
15596
15597
15598
15599
15600
15601
15602
15603
15604
15605
15606
15607
15608
15609
15610
15611
15612
15613
15614
15615
15616
15617
15618
15619
15620
15621
15622
15623
15624
15625
15626
15627
15628
15629
15630
15631
15632
15633
15634
15635
15636
15637
15638
15639
15640
15641
15642
15643
15644
15645
15646
15647
15648
15649
15650
15651
15652
15653
15654
15655
15656
15657
15658
15659
15660
15661
15662
15663
15664
15665
15666
15667
15668
15669
15670
15671
15672
15673
15674
15675
15676
15677
15678
15679
15680
15681
15682
15683
15684
15685
15686
15687
15688
15689
15690
15691
15692
15693
15694
15695
15696
15697
15698
15699
15700
15701
15702
15703
15704
15705
15706
15707
15708
15709
15710
15711
15712
15713
15714
15715
15716
15717
15718
15719
15720
15721
15722
15723
15724
15725
15726
15727
15728
15729
15730
15731
15732
15733
15734
15735
15736
15737
15738
15739
15740
15741
15742
15743
15744
15745
15746
15747
15748
15749
15750
15751
15752
15753
15754
15755
15756
15757
15758
15759
15760
15761
15762
15763
15764
15765
15766
15767
15768
15769
15770
15771
15772
15773
15774
15775
15776
15777
15778
15779
15780
15781
15782
15783
15784
15785
15786
15787
15788
15789
15790
15791
15792
15793
15794
15795
15796
15797
15798
15799
15800
15801
15802
15803
15804
15805
15806
15807
15808
15809
15810
15811
15812
15813
15814
15815
15816
15817
15818
15819
15820
15821
15822
15823
15824
15825
15826
15827
15828
15829
15830
15831
15832
15833
15834
15835
15836
15837
15838
15839
15840
15841
15842
15843
15844
15845
15846
15847
15848
15849
15850
15851
15852
15853
15854
15855
15856
15857
15858
15859
15860
15861
15862
15863
15864
15865
15866
15867
15868
15869
15870
15871
15872
15873
15874
15875
15876
15877
15878
15879
15880
15881
15882
15883
15884
15885
15886
15887
15888
15889
15890
15891
15892
15893
15894
15895
15896
15897
15898
15899
15900
15901
15902
15903
15904
15905
15906
15907
15908
15909
15910
15911
15912
15913
15914
15915
15916
15917
15918
15919
15920
15921
15922
15923
15924
15925
15926
15927
15928
15929
15930
15931
15932
15933
15934
15935
15936
15937
15938
15939
15940
15941
15942
15943
15944
15945
15946
15947
15948
15949
15950
15951
15952
15953
15954
15955
15956
15957
15958
15959
15960
15961
15962
15963
15964
15965
15966
15967
15968
15969
15970
15971
15972
15973
15974
15975
15976
15977
15978
15979
15980
15981
15982
15983
15984
15985
15986
15987
15988
15989
15990
15991
15992
15993
15994
15995
15996
15997
15998
15999
16000
16001
16002
16003
16004
16005
16006
16007
16008
16009
16010
16011
16012
16013
16014
16015
16016
16017
16018
16019
16020
16021
16022
16023
16024
16025
16026
16027
16028
16029
16030
16031
16032
16033
16034
16035
16036
16037
16038
16039
16040
16041
16042
16043
16044
16045
16046
16047
16048
16049
16050
16051
16052
16053
16054
16055
16056
16057
16058
16059
16060
16061
16062
16063
16064
16065
16066
16067
16068
16069
16070
16071
16072
16073
16074
16075
16076
16077
16078
16079
16080
16081
16082
16083
16084
16085
16086
16087
16088
16089
16090
16091
16092
16093
16094
16095
16096
16097
16098
16099
16100
16101
16102
16103
16104
16105
16106
16107
16108
16109
16110
16111
16112
16113
16114
16115
16116
16117
16118
16119
16120
16121
16122
16123
16124
16125
16126
16127
16128
16129
16130
16131
16132
16133
16134
16135
16136
16137
16138
16139
16140
16141
16142
16143
16144
16145
16146
16147
16148
16149
16150
16151
16152
16153
16154
16155
16156
16157
16158
16159
16160
16161
16162
16163
16164
16165
16166
16167
16168
16169
16170
16171
16172
16173
16174
16175
16176
16177
16178
16179
16180
16181
16182
16183
16184
16185
16186
16187
16188
16189
16190
16191
16192
16193
16194
16195
16196
16197
16198
16199
16200
16201
16202
16203
16204
16205
16206
16207
16208
16209
16210
16211
16212
16213
16214
16215
16216
16217
16218
16219
16220
16221
16222
16223
16224
16225
16226
16227
16228
16229
16230
16231
16232
16233
16234
16235
16236
16237
16238
16239
16240
16241
16242
16243
16244
16245
16246
16247
16248
16249
16250
16251
16252
16253
16254
16255
16256
16257
16258
16259
16260
16261
16262
16263
16264
16265
16266
16267
16268
16269
16270
16271
16272
16273
16274
16275
16276
16277
16278
16279
16280
16281
16282
16283
16284
16285
16286
16287
16288
16289
16290
16291
16292
16293
16294
16295
16296
16297
16298
16299
16300
16301
16302
16303
16304
16305
16306
16307
16308
16309
16310
16311
16312
16313
16314
16315
16316
16317
16318
16319
16320
16321
16322
16323
16324
16325
16326
16327
16328
16329
16330
16331
16332
16333
16334
16335
16336
16337
16338
16339
16340
16341
16342
16343
16344
16345
16346
16347
16348
16349
16350
16351
16352
16353
16354
16355
16356
16357
16358
16359
16360
16361
16362
16363
16364
16365
16366
16367
16368
16369
16370
16371
16372
16373
16374
16375
16376
16377
16378
16379
16380
16381
16382
16383
16384
16385
16386
16387
16388
16389
16390
16391
16392
16393
16394
16395
16396
16397
16398
16399
16400
16401
16402
16403
16404
16405
16406
16407
16408
16409
16410
16411
16412
16413
16414
16415
16416
16417
16418
16419
16420
16421
16422
16423
16424
16425
16426
16427
16428
16429
16430
16431
16432
16433
16434
16435
16436
16437
16438
16439
16440
16441
16442
16443
16444
16445
16446
16447
16448
16449
16450
16451
16452
16453
16454
16455
16456
16457
16458
16459
16460
16461
16462
16463
16464
16465
16466
16467
16468
16469
16470
16471
16472
16473
16474
16475
16476
16477
16478
16479
16480
16481
16482
16483
16484
16485
16486
16487
16488
16489
16490
16491
16492
16493
16494
16495
16496
16497
16498
16499
16500
16501
16502
16503
16504
16505
16506
16507
16508
16509
16510
16511
16512
16513
16514
16515
16516
16517
16518
16519
16520
16521
16522
16523
16524
16525
16526
16527
16528
16529
16530
16531
16532
16533
16534
16535
16536
16537
16538
16539
16540
16541
16542
16543
16544
16545
16546
16547
16548
16549
16550
16551
16552
16553
16554
16555
16556
16557
16558
16559
16560
16561
16562
16563
16564
16565
16566
16567
16568
16569
16570
16571
16572
16573
16574
16575
16576
16577
16578
16579
16580
16581
16582
16583
16584
16585
16586
16587
16588
16589
16590
16591
16592
16593
16594
16595
16596
16597
16598
16599
16600
16601
16602
16603
16604
16605
16606
16607
16608
16609
16610
16611
16612
16613
16614
16615
16616
16617
16618
16619
16620
16621
16622
16623
16624
16625
16626
16627
16628
16629
16630
16631
16632
16633
16634
16635
16636
16637
16638
16639
16640
16641
16642
16643
16644
16645
16646
16647
16648
16649
16650
16651
16652
16653
16654
16655
16656
16657
16658
16659
16660
16661
16662
16663
16664
16665
16666
16667
16668
16669
16670
16671
16672
16673
16674
16675
16676
16677
16678
16679
16680
16681
16682
16683
16684
16685
16686
16687
16688
16689
16690
16691
16692
16693
16694
16695
16696
16697
16698
16699
16700
16701
16702
16703
16704
16705
16706
16707
16708
16709
16710
16711
16712
16713
16714
16715
16716
16717
16718
16719
16720
16721
16722
16723
16724
16725
16726
16727
16728
16729
16730
16731
16732
16733
16734
16735
16736
16737
16738
16739
16740
16741
16742
16743
16744
16745
16746
16747
16748
16749
16750
16751
16752
16753
16754
16755
16756
16757
16758
16759
16760
16761
16762
16763
16764
16765
16766
16767
16768
16769
16770
16771
16772
16773
16774
16775
16776
16777
16778
16779
16780
16781
16782
16783
16784
16785
16786
16787
16788
16789
16790
16791
16792
16793
16794
16795
16796
16797
16798
16799
16800
16801
16802
16803
16804
16805
16806
16807
16808
16809
16810
16811
16812
16813
16814
16815
16816
16817
16818
16819
16820
16821
16822
16823
16824
16825
16826
16827
16828
16829
16830
16831
16832
16833
16834
16835
16836
16837
16838
16839
16840
16841
16842
16843
16844
16845
16846
16847
16848
16849
16850
16851
16852
16853
16854
16855
16856
16857
16858
16859
16860
16861
16862
16863
16864
16865
16866
16867
16868
16869
16870
16871
16872
16873
16874
16875
16876
16877
16878
16879
16880
16881
16882
16883
16884
16885
16886
16887
16888
16889
16890
16891
16892
16893
16894
16895
16896
16897
16898
16899
16900
16901
16902
16903
16904
16905
16906
16907
16908
16909
16910
16911
16912
16913
16914
16915
16916
16917
16918
16919
16920
16921
16922
16923
16924
16925
16926
16927
16928
16929
16930
16931
16932
16933
16934
16935
16936
16937
16938
16939
16940
16941
16942
16943
16944
16945
16946
16947
16948
16949
16950
16951
16952
16953
16954
16955
16956
16957
16958
16959
16960
16961
16962
16963
16964
16965
16966
16967
16968
16969
16970
16971
16972
16973
16974
16975
16976
16977
16978
16979
16980
16981
16982
16983
16984
16985
16986
16987
16988
16989
16990
16991
16992
16993
16994
16995
16996
16997
16998
16999
17000
17001
17002
17003
17004
17005
17006
17007
17008
17009
17010
17011
17012
17013
17014
17015
17016
17017
17018
17019
17020
17021
17022
17023
17024
17025
17026
17027
17028
17029
17030
17031
17032
17033
17034
17035
17036
17037
17038
17039
17040
17041
17042
17043
17044
17045
17046
17047
17048
17049
17050
17051
17052
17053
17054
17055
17056
17057
17058
17059
17060
17061
17062
17063
17064
17065
17066
17067
17068
17069
17070
17071
17072
17073
17074
17075
17076
17077
17078
17079
17080
17081
17082
17083
17084
17085
17086
17087
17088
17089
17090
17091
17092
17093
17094
17095
17096
17097
17098
17099
17100
17101
17102
17103
17104
17105
17106
17107
17108
17109
17110
17111
17112
17113
17114
17115
17116
17117
17118
17119
17120
17121
17122
17123
17124
17125
17126
17127
17128
17129
17130
17131
17132
17133
17134
17135
17136
17137
17138
17139
17140
17141
17142
17143
17144
17145
17146
17147
17148
17149
17150
17151
17152
17153
17154
17155
17156
17157
17158
17159
17160
17161
17162
17163
17164
17165
17166
17167
17168
17169
17170
17171
17172
17173
17174
17175
17176
17177
17178
17179
17180
17181
17182
17183
17184
17185
17186
17187
17188
17189
17190
17191
17192
17193
17194
17195
17196
17197
17198
17199
17200
17201
17202
17203
17204
17205
17206
17207
17208
17209
17210
17211
17212
17213
17214
17215
17216
17217
17218
17219
17220
17221
17222
17223
17224
17225
17226
17227
17228
17229
17230
17231
17232
17233
17234
17235
17236
17237
17238
17239
17240
17241
17242
17243
17244
17245
17246
17247
17248
17249
17250
17251
17252
17253
17254
17255
17256
17257
17258
17259
17260
17261
17262
17263
17264
17265
17266
17267
17268
17269
17270
17271
17272
17273
17274
17275
17276
17277
17278
17279
17280
17281
17282
17283
17284
17285
17286
17287
17288
17289
17290
17291
17292
17293
17294
17295
17296
17297
17298
17299
17300
17301
17302
17303
17304
17305
17306
17307
17308
17309
17310
17311
17312
17313
17314
17315
17316
17317
17318
17319
17320
17321
17322
17323
17324
17325
17326
17327
17328
17329
17330
17331
17332
17333
17334
17335
17336
17337
17338
17339
17340
17341
17342
17343
17344
17345
17346
17347
17348
17349
17350
17351
17352
17353
17354
17355
17356
17357
17358
17359
17360
17361
17362
17363
17364
17365
17366
17367
17368
17369
17370
17371
17372
17373
17374
17375
17376
17377
17378
17379
17380
17381
17382
17383
17384
17385
17386
17387
17388
17389
17390
17391
17392
17393
17394
17395
17396
17397
17398
17399
17400
17401
17402
17403
17404
17405
17406
17407
17408
17409
17410
17411
17412
17413
17414
17415
17416
17417
17418
17419
17420
17421
17422
17423
17424
17425
17426
17427
17428
17429
17430
17431
17432
17433
17434
17435
17436
17437
17438
17439
17440
17441
17442
17443
17444
17445
17446
17447
17448
17449
17450
17451
17452
17453
17454
17455
17456
17457
17458
17459
17460
17461
17462
17463
17464
17465
17466
17467
17468
17469
17470
17471
17472
17473
17474
17475
17476
17477
17478
17479
17480
17481
17482
17483
17484
17485
17486
17487
17488
17489
17490
17491
17492
17493
17494
17495
17496
17497
17498
17499
17500
17501
17502
17503
17504
17505
17506
17507
17508
17509
17510
17511
17512
17513
17514
17515
17516
17517
17518
17519
17520
17521
17522
17523
17524
17525
17526
17527
17528
17529
17530
17531
17532
17533
17534
17535
17536
17537
17538
17539
17540
17541
17542
17543
17544
17545
17546
17547
17548
17549
17550
17551
17552
17553
17554
17555
17556
17557
17558
17559
17560
17561
17562
17563
17564
17565
17566
17567
17568
17569
17570
17571
17572
17573
17574
17575
17576
17577
17578
17579
17580
17581
17582
17583
17584
17585
17586
17587
17588
17589
17590
17591
17592
17593
17594
17595
17596
17597
17598
17599
17600
17601
17602
17603
17604
17605
17606
17607
17608
17609
17610
17611
17612
17613
17614
17615
17616
17617
17618
17619
17620
17621
17622
17623
17624
17625
17626
17627
17628
17629
17630
17631
17632
17633
17634
17635
17636
17637
17638
17639
17640
17641
17642
17643
17644
17645
17646
17647
17648
17649
17650
17651
17652
17653
17654
17655
17656
17657
17658
17659
17660
17661
17662
17663
17664
17665
17666
17667
17668
17669
17670
17671
17672
17673
17674
17675
17676
17677
17678
17679
17680
17681
17682
17683
17684
17685
17686
17687
17688
17689
17690
17691
17692
17693
17694
17695
17696
17697
17698
17699
17700
17701
17702
17703
17704
17705
17706
17707
17708
17709
17710
17711
17712
17713
17714
17715
17716
17717
17718
17719
17720
17721
17722
17723
17724
17725
17726
17727
17728
17729
17730
17731
17732
17733
17734
17735
17736
17737
17738
17739
17740
17741
17742
17743
17744
17745
17746
17747
17748
17749
17750
17751
17752
17753
17754
17755
17756
17757
17758
17759
17760
17761
17762
17763
17764
17765
17766
17767
17768
17769
17770
17771
17772
17773
17774
17775
17776
17777
17778
17779
17780
17781
17782
17783
17784
17785
17786
17787
17788
17789
17790
17791
17792
17793
17794
17795
17796
17797
17798
17799
17800
17801
17802
17803
17804
17805
17806
17807
17808
17809
17810
17811
17812
17813
17814
17815
17816
17817
17818
17819
17820
17821
17822
17823
17824
17825
17826
17827
17828
17829
17830
17831
17832
17833
17834
17835
17836
17837
17838
17839
17840
17841
17842
17843
17844
17845
17846
17847
17848
17849
17850
17851
17852
17853
17854
17855
17856
17857
17858
17859
17860
17861
17862
17863
17864
17865
17866
17867
17868
17869
17870
17871
17872
17873
17874
17875
17876
17877
17878
17879
17880
17881
17882
17883
17884
17885
17886
17887
17888
17889
17890
17891
17892
17893
17894
17895
17896
17897
17898
17899
17900
17901
17902
17903
17904
17905
17906
17907
17908
17909
17910
17911
17912
17913
17914
17915
17916
17917
17918
17919
17920
17921
17922
17923
17924
17925
17926
17927
17928
17929
17930
17931
17932
17933
17934
17935
17936
17937
17938
17939
17940
17941
17942
17943
17944
17945
17946
17947
17948
17949
17950
17951
17952
17953
17954
17955
17956
17957
17958
17959
17960
17961
17962
17963
17964
17965
17966
17967
17968
17969
17970
17971
17972
17973
17974
17975
17976
17977
17978
17979
17980
17981
17982
17983
17984
17985
17986
17987
17988
17989
17990
17991
17992
17993
17994
17995
17996
17997
17998
17999
18000
18001
18002
18003
18004
18005
18006
18007
18008
18009
18010
18011
18012
18013
18014
18015
18016
18017
18018
18019
18020
18021
18022
18023
18024
18025
18026
18027
18028
18029
18030
18031
18032
18033
18034
18035
18036
18037
18038
18039
18040
18041
18042
18043
18044
18045
18046
18047
18048
18049
18050
18051
18052
18053
18054
18055
18056
18057
18058
18059
18060
18061
18062
18063
18064
18065
18066
18067
18068
18069
18070
18071
18072
18073
18074
18075
18076
18077
18078
18079
18080
18081
18082
18083
18084
18085
18086
18087
18088
18089
18090
18091
18092
18093
18094
18095
18096
18097
18098
18099
18100
18101
18102
18103
18104
18105
18106
18107
18108
18109
18110
18111
18112
18113
18114
18115
18116
18117
18118
18119
18120
18121
18122
18123
18124
18125
18126
18127
18128
18129
18130
18131
18132
18133
18134
18135
18136
18137
18138
18139
18140
18141
18142
18143
18144
18145
18146
18147
18148
18149
18150
18151
18152
18153
18154
18155
18156
18157
18158
18159
18160
18161
18162
18163
18164
18165
18166
18167
18168
18169
18170
18171
18172
18173
18174
18175
18176
18177
18178
18179
18180
18181
18182
18183
18184
18185
18186
18187
18188
18189
18190
18191
18192
18193
18194
18195
18196
18197
18198
18199
18200
18201
18202
18203
18204
18205
18206
18207
18208
18209
18210
18211
18212
18213
18214
18215
18216
18217
18218
18219
18220
18221
18222
18223
18224
18225
18226
18227
18228
18229
18230
18231
18232
18233
18234
18235
18236
18237
18238
18239
18240
18241
18242
18243
18244
18245
18246
18247
18248
18249
18250
18251
18252
18253
18254
18255
18256
18257
18258
18259
18260
18261
18262
18263
18264
18265
18266
18267
18268
18269
18270
18271
18272
18273
18274
18275
18276
18277
18278
18279
18280
18281
18282
18283
18284
18285
18286
18287
18288
18289
18290
18291
18292
18293
18294
18295
18296
18297
18298
18299
18300
18301
18302
18303
18304
18305
18306
18307
18308
18309
18310
18311
18312
18313
18314
18315
18316
18317
18318
18319
18320
18321
18322
18323
18324
18325
18326
18327
18328
18329
18330
18331
18332
18333
18334
18335
18336
18337
18338
18339
18340
18341
18342
18343
18344
18345
18346
18347
18348
18349
18350
18351
18352
18353
18354
18355
18356
18357
18358
18359
18360
18361
18362
18363
18364
18365
18366
18367
18368
18369
18370
18371
18372
18373
18374
18375
18376
18377
18378
18379
18380
18381
18382
18383
18384
18385
18386
18387
18388
18389
18390
18391
18392
18393
18394
18395
18396
18397
18398
18399
18400
18401
18402
18403
18404
18405
18406
18407
18408
18409
18410
18411
18412
18413
18414
18415
18416
18417
18418
18419
18420
18421
18422
18423
18424
18425
18426
18427
18428
18429
18430
18431
18432
18433
18434
18435
18436
18437
18438
18439
18440
18441
18442
18443
18444
18445
18446
18447
18448
18449
18450
18451
18452
18453
18454
18455
18456
18457
18458
18459
18460
18461
18462
18463
18464
18465
18466
18467
18468
18469
18470
18471
18472
18473
18474
18475
18476
18477
18478
18479
18480
18481
18482
18483
18484
18485
18486
18487
18488
18489
18490
18491
18492
18493
18494
18495
18496
18497
18498
18499
18500
18501
18502
18503
18504
18505
18506
18507
18508
18509
18510
18511
18512
18513
18514
18515
18516
18517
18518
18519
18520
18521
18522
18523
18524
18525
18526
18527
18528
18529
18530
18531
18532
18533
18534
18535
18536
18537
18538
18539
18540
18541
18542
18543
18544
18545
18546
18547
18548
18549
18550
18551
18552
18553
18554
18555
18556
18557
18558
18559
18560
18561
18562
18563
18564
18565
18566
18567
18568
18569
18570
18571
18572
18573
18574
18575
18576
18577
18578
18579
18580
18581
18582
18583
18584
18585
18586
18587
18588
18589
18590
18591
18592
18593
18594
18595
18596
18597
18598
18599
18600
18601
18602
18603
18604
18605
18606
18607
18608
18609
18610
18611
18612
18613
18614
18615
18616
18617
18618
18619
18620
18621
18622
18623
18624
18625
18626
18627
18628
18629
18630
18631
18632
18633
18634
18635
18636
18637
18638
18639
18640
18641
18642
18643
18644
18645
18646
18647
18648
18649
18650
18651
18652
18653
18654
18655
18656
18657
18658
18659
18660
18661
18662
18663
18664
18665
18666
18667
18668
18669
18670
18671
18672
18673
18674
18675
18676
18677
18678
18679
18680
18681
18682
18683
18684
18685
18686
18687
18688
18689
18690
18691
18692
18693
18694
18695
18696
18697
18698
18699
18700
18701
18702
18703
18704
18705
18706
18707
18708
18709
18710
18711
18712
18713
18714
18715
18716
18717
18718
18719
18720
18721
18722
18723
18724
18725
18726
18727
18728
18729
18730
18731
18732
18733
18734
18735
18736
18737
18738
18739
18740
18741
18742
18743
18744
18745
18746
18747
18748
18749
18750
18751
18752
18753
18754
18755
18756
18757
18758
18759
18760
18761
18762
18763
18764
18765
18766
18767
18768
18769
18770
18771
18772
18773
18774
18775
18776
18777
18778
18779
18780
18781
18782
18783
18784
18785
18786
18787
18788
18789
18790
18791
18792
18793
18794
18795
18796
18797
18798
18799
18800
18801
18802
18803
18804
18805
18806
18807
18808
18809
18810
18811
18812
18813
18814
18815
18816
18817
18818
18819
18820
18821
18822
18823
18824
18825
18826
18827
18828
18829
18830
18831
18832
18833
18834
18835
18836
18837
18838
18839
18840
18841
18842
18843
18844
18845
18846
18847
18848
18849
18850
18851
18852
18853
18854
18855
18856
18857
18858
18859
18860
18861
18862
18863
18864
18865
18866
18867
18868
18869
18870
18871
18872
18873
18874
18875
18876
18877
18878
18879
18880
18881
18882
18883
18884
18885
18886
18887
18888
18889
18890
18891
18892
18893
18894
18895
18896
18897
18898
18899
18900
18901
18902
18903
18904
18905
18906
18907
18908
18909
18910
18911
18912
18913
18914
18915
18916
18917
18918
18919
18920
18921
18922
18923
18924
18925
18926
18927
18928
18929
18930
18931
18932
18933
18934
18935
18936
18937
18938
18939
18940
18941
18942
18943
18944
18945
18946
18947
18948
18949
18950
18951
18952
18953
18954
18955
18956
18957
18958
18959
18960
18961
18962
18963
18964
18965
18966
18967
18968
18969
18970
18971
18972
18973
18974
18975
18976
18977
18978
18979
18980
18981
18982
18983
18984
18985
18986
18987
18988
18989
18990
18991
18992
18993
18994
18995
18996
18997
18998
18999
19000
19001
19002
19003
19004
19005
19006
19007
19008
19009
19010
19011
19012
19013
19014
19015
19016
19017
19018
19019
19020
19021
19022
19023
19024
19025
19026
19027
19028
19029
19030
19031
19032
19033
19034
19035
19036
19037
19038
19039
19040
19041
19042
19043
19044
19045
19046
19047
19048
19049
19050
19051
19052
19053
19054
19055
19056
19057
19058
19059
19060
19061
19062
19063
19064
19065
19066
19067
19068
19069
19070
19071
19072
19073
19074
19075
19076
19077
19078
19079
19080
19081
19082
19083
19084
19085
19086
19087
19088
19089
19090
19091
19092
19093
19094
19095
19096
19097
19098
19099
19100
19101
19102
19103
19104
19105
19106
19107
19108
19109
19110
19111
19112
19113
19114
19115
19116
19117
19118
19119
19120
19121
19122
19123
19124
19125
19126
19127
19128
19129
19130
19131
19132
19133
19134
19135
19136
19137
19138
19139
19140
19141
19142
19143
19144
19145
19146
19147
19148
19149
19150
19151
19152
19153
19154
19155
19156
19157
19158
19159
19160
19161
19162
19163
19164
19165
19166
19167
19168
19169
19170
19171
19172
19173
19174
19175
19176
19177
19178
19179
19180
19181
19182
19183
19184
19185
19186
19187
19188
19189
19190
19191
19192
19193
19194
19195
19196
19197
19198
19199
19200
19201
19202
19203
19204
19205
19206
19207
19208
19209
19210
19211
19212
19213
19214
19215
19216
19217
19218
19219
19220
19221
19222
19223
19224
19225
19226
19227
19228
19229
19230
19231
19232
19233
19234
19235
19236
19237
19238
19239
19240
19241
19242
19243
19244
19245
19246
19247
19248
19249
19250
19251
19252
19253
19254
19255
19256
19257
19258
19259
19260
19261
19262
19263
19264
19265
19266
19267
19268
19269
19270
19271
19272
19273
19274
19275
19276
19277
19278
19279
19280
19281
19282
19283
19284
19285
19286
19287
19288
19289
19290
19291
19292
19293
19294
19295
19296
19297
19298
19299
19300
19301
19302
19303
19304
19305
19306
19307
19308
19309
19310
19311
19312
19313
19314
19315
19316
19317
19318
19319
19320
19321
19322
19323
19324
19325
19326
19327
19328
19329
19330
19331
19332
19333
19334
19335
19336
19337
19338
19339
19340
19341
19342
19343
19344
19345
19346
19347
19348
19349
19350
19351
19352
19353
19354
19355
19356
19357
19358
19359
19360
19361
19362
19363
19364
19365
19366
19367
19368
19369
19370
19371
19372
19373
19374
19375
19376
19377
19378
19379
19380
19381
19382
19383
19384
19385
19386
19387
19388
19389
19390
19391
19392
19393
19394
19395
19396
19397
19398
19399
19400
19401
19402
19403
19404
19405
19406
19407
19408
19409
19410
19411
19412
19413
19414
19415
19416
19417
19418
19419
19420
19421
19422
19423
19424
19425
19426
19427
19428
19429
19430
19431
19432
19433
19434
19435
19436
19437
19438
19439
19440
19441
19442
19443
19444
19445
19446
19447
19448
19449
19450
19451
19452
19453
19454
19455
19456
19457
19458
19459
19460
19461
19462
19463
19464
19465
19466
19467
19468
19469
19470
19471
19472
19473
19474
19475
19476
19477
19478
19479
19480
19481
19482
19483
19484
19485
19486
19487
19488
19489
19490
19491
19492
19493
19494
19495
19496
19497
19498
19499
19500
19501
19502
19503
19504
19505
19506
19507
19508
19509
19510
19511
19512
19513
19514
19515
19516
19517
19518
19519
19520
19521
19522
19523
19524
19525
19526
19527
19528
19529
19530
19531
19532
19533
19534
19535
19536
19537
19538
19539
19540
19541
19542
19543
19544
19545
19546
19547
19548
19549
19550
19551
19552
19553
19554
19555
19556
19557
19558
19559
19560
19561
19562
19563
19564
19565
19566
19567
19568
19569
19570
19571
19572
19573
19574
19575
19576
19577
19578
19579
19580
19581
19582
19583
19584
19585
19586
19587
19588
19589
19590
19591
19592
19593
19594
19595
19596
19597
19598
19599
19600
19601
19602
19603
19604
19605
19606
19607
19608
19609
19610
19611
19612
19613
19614
19615
19616
19617
19618
19619
19620
19621
19622
19623
19624
19625
19626
19627
19628
19629
19630
19631
19632
19633
19634
19635
19636
19637
19638
19639
19640
19641
19642
19643
19644
19645
19646
19647
19648
19649
19650
19651
19652
19653
19654
19655
19656
19657
19658
19659
19660
19661
19662
19663
19664
19665
19666
19667
19668
19669
19670
19671
19672
19673
19674
19675
19676
19677
19678
19679
19680
19681
19682
19683
19684
19685
19686
19687
19688
19689
19690
19691
19692
19693
19694
19695
19696
19697
19698
19699
19700
19701
19702
19703
19704
19705
19706
19707
19708
19709
19710
19711
19712
19713
19714
19715
19716
19717
19718
19719
19720
19721
19722
19723
19724
19725
19726
19727
19728
19729
19730
19731
19732
19733
19734
19735
19736
19737
19738
19739
19740
19741
19742
19743
19744
19745
19746
19747
19748
19749
19750
19751
19752
19753
19754
19755
19756
19757
19758
19759
19760
19761
19762
19763
19764
19765
19766
19767
19768
19769
19770
19771
19772
19773
19774
19775
19776
19777
19778
19779
19780
19781
19782
19783
19784
19785
19786
19787
19788
19789
19790
19791
19792
19793
19794
19795
19796
19797
19798
19799
19800
19801
19802
19803
19804
19805
19806
19807
19808
19809
19810
19811
19812
19813
19814
19815
19816
19817
19818
19819
19820
19821
19822
19823
19824
19825
19826
19827
19828
19829
19830
19831
19832
19833
19834
19835
19836
19837
19838
19839
19840
19841
19842
19843
19844
19845
19846
19847
19848
19849
19850
19851
19852
19853
19854
19855
19856
19857
19858
19859
19860
19861
19862
19863
19864
19865
19866
19867
19868
19869
19870
19871
19872
19873
19874
19875
19876
19877
19878
19879
19880
19881
19882
19883
19884
19885
19886
19887
19888
19889
19890
19891
19892
19893
19894
19895
19896
19897
19898
19899
19900
19901
19902
19903
19904
19905
19906
19907
19908
19909
19910
19911
19912
19913
19914
19915
19916
19917
19918
19919
19920
19921
19922
19923
19924
19925
19926
19927
19928
19929
19930
19931
19932
19933
19934
19935
19936
19937
19938
19939
19940
19941
19942
19943
19944
19945
19946
19947
19948
19949
19950
19951
19952
19953
19954
19955
19956
19957
19958
19959
19960
19961
19962
19963
19964
19965
19966
19967
19968
19969
19970
19971
19972
19973
19974
19975
19976
19977
19978
19979
19980
19981
19982
19983
19984
19985
19986
19987
19988
19989
19990
19991
19992
19993
19994
19995
19996
19997
19998
19999
20000
20001
20002
20003
20004
20005
20006
20007
20008
20009
20010
20011
20012
20013
20014
20015
20016
20017
20018
20019
20020
20021
20022
20023
20024
20025
20026
20027
20028
20029
20030
20031
20032
20033
20034
20035
20036
20037
20038
20039
20040
20041
20042
20043
20044
20045
20046
20047
20048
20049
20050
20051
20052
20053
20054
20055
20056
20057
20058
20059
20060
20061
20062
20063
20064
20065
20066
20067
20068
20069
20070
20071
20072
20073
20074
20075
20076
20077
20078
20079
20080
20081
20082
20083
20084
20085
20086
20087
20088
20089
20090
20091
20092
20093
20094
20095
20096
20097
20098
20099
20100
20101
20102
20103
20104
20105
20106
20107
20108
20109
20110
20111
20112
20113
20114
20115
20116
20117
20118
20119
20120
20121
20122
20123
20124
20125
20126
20127
20128
20129
20130
20131
20132
20133
20134
20135
20136
20137
20138
20139
20140
20141
20142
20143
20144
20145
20146
20147
20148
20149
20150
20151
20152
20153
20154
20155
20156
20157
20158
20159
20160
20161
20162
20163
20164
20165
20166
20167
20168
20169
20170
20171
20172
20173
20174
20175
20176
20177
20178
20179
20180
20181
20182
20183
20184
20185
20186
20187
20188
20189
20190
20191
20192
20193
20194
20195
20196
20197
20198
20199
20200
20201
20202
20203
20204
20205
20206
20207
20208
20209
20210
20211
20212
20213
20214
20215
20216
20217
20218
20219
20220
20221
20222
20223
20224
20225
20226
20227
20228
20229
20230
20231
20232
20233
20234
20235
20236
20237
20238
20239
20240
20241
20242
20243
20244
20245
20246
20247
20248
20249
20250
20251
20252
20253
20254
20255
20256
20257
20258
20259
20260
20261
20262
20263
20264
20265
20266
20267
20268
20269
20270
20271
20272
20273
20274
20275
20276
20277
20278
20279
20280
20281
20282
20283
20284
20285
20286
20287
20288
20289
20290
20291
20292
20293
20294
20295
20296
20297
20298
20299
20300
20301
20302
20303
20304
20305
20306
20307
20308
20309
20310
20311
20312
20313
20314
20315
20316
20317
20318
20319
20320
20321
20322
20323
20324
20325
20326
20327
20328
20329
20330
20331
20332
20333
20334
20335
20336
20337
20338
20339
20340
20341
20342
20343
20344
20345
20346
20347
20348
20349
20350
20351
20352
20353
20354
20355
20356
20357
20358
20359
20360
20361
20362
20363
20364
20365
20366
20367
20368
20369
20370
20371
20372
20373
20374
20375
20376
20377
20378
20379
20380
20381
20382
20383
20384
20385
20386
20387
20388
20389
20390
20391
20392
20393
20394
20395
20396
20397
20398
20399
20400
20401
20402
20403
20404
20405
20406
20407
20408
20409
20410
20411
20412
20413
20414
20415
20416
20417
20418
20419
20420
20421
20422
20423
20424
20425
20426
20427
20428
20429
20430
20431
20432
20433
20434
20435
20436
20437
20438
20439
20440
20441
20442
20443
20444
20445
20446
20447
20448
20449
20450
20451
20452
20453
20454
20455
20456
20457
20458
20459
20460
20461
20462
20463
20464
20465
20466
20467
20468
20469
20470
20471
20472
20473
20474
20475
20476
20477
20478
20479
20480
20481
20482
20483
20484
20485
20486
20487
20488
20489
20490
20491
20492
20493
20494
20495
20496
20497
20498
20499
20500
20501
20502
20503
20504
20505
20506
20507
20508
20509
20510
20511
20512
20513
20514
20515
20516
20517
20518
20519
20520
20521
20522
20523
20524
20525
20526
20527
20528
20529
20530
20531
20532
20533
20534
20535
20536
20537
20538
20539
20540
20541
20542
20543
20544
20545
20546
20547
20548
20549
20550
20551
20552
20553
20554
20555
20556
20557
20558
20559
20560
20561
20562
20563
20564
20565
20566
20567
20568
20569
20570
20571
20572
20573
20574
20575
20576
20577
20578
20579
20580
20581
20582
20583
20584
20585
20586
20587
20588
20589
20590
20591
20592
20593
20594
20595
20596
20597
20598
20599
20600
20601
20602
20603
20604
20605
20606
20607
20608
20609
20610
20611
20612
20613
20614
20615
20616
20617
20618
20619
20620
20621
20622
20623
20624
20625
20626
20627
20628
20629
20630
20631
20632
20633
20634
20635
20636
20637
20638
20639
20640
20641
20642
20643
20644
20645
20646
20647
20648
20649
20650
20651
20652
20653
20654
20655
20656
20657
20658
20659
20660
20661
20662
20663
20664
20665
20666
20667
20668
20669
20670
20671
20672
20673
20674
20675
20676
20677
20678
20679
20680
20681
20682
20683
20684
20685
20686
20687
20688
20689
20690
20691
20692
20693
20694
20695
20696
20697
20698
20699
20700
20701
20702
20703
20704
20705
20706
20707
20708
20709
20710
20711
20712
20713
20714
20715
20716
20717
20718
20719
20720
20721
20722
20723
20724
20725
20726
20727
20728
20729
20730
20731
20732
20733
20734
20735
20736
20737
20738
20739
20740
20741
20742
20743
20744
20745
20746
20747
20748
20749
20750
20751
20752
20753
20754
20755
20756
20757
20758
20759
20760
20761
20762
20763
20764
20765
20766
20767
20768
20769
20770
20771
20772
20773
20774
20775
20776
20777
20778
20779
20780
20781
20782
20783
20784
20785
20786
20787
20788
20789
20790
20791
20792
20793
20794
20795
20796
20797
20798
20799
20800
20801
20802
20803
20804
20805
20806
20807
20808
20809
20810
20811
20812
20813
20814
20815
20816
20817
20818
20819
20820
20821
20822
20823
20824
20825
20826
20827
20828
20829
20830
20831
20832
20833
20834
20835
20836
20837
20838
20839
20840
20841
20842
20843
20844
20845
20846
20847
20848
20849
20850
20851
20852
20853
20854
20855
20856
20857
20858
20859
20860
20861
20862
20863
20864
20865
20866
20867
20868
20869
20870
20871
20872
20873
20874
20875
20876
20877
20878
20879
20880
20881
20882
20883
20884
20885
20886
20887
20888
20889
20890
20891
20892
20893
20894
20895
20896
20897
20898
20899
20900
20901
20902
20903
20904
20905
20906
20907
20908
20909
20910
20911
20912
20913
20914
20915
20916
20917
20918
20919
20920
20921
20922
20923
20924
20925
20926
20927
20928
20929
20930
20931
20932
20933
20934
20935
20936
20937
20938
20939
20940
20941
20942
20943
20944
20945
20946
20947
20948
20949
20950
20951
20952
20953
20954
20955
20956
20957
20958
20959
20960
20961
20962
20963
20964
20965
20966
20967
20968
20969
20970
20971
20972
20973
20974
20975
20976
20977
20978
20979
20980
20981
20982
20983
20984
20985
20986
20987
20988
20989
20990
20991
20992
20993
20994
20995
20996
20997
20998
20999
21000
21001
21002
21003
21004
21005
21006
21007
21008
21009
21010
21011
21012
21013
21014
21015
21016
21017
21018
21019
21020
21021
21022
21023
21024
21025
21026
21027
21028
21029
21030
21031
21032
21033
21034
21035
21036
21037
21038
21039
21040
21041
21042
21043
21044
21045
21046
21047
21048
21049
21050
21051
21052
21053
21054
21055
21056
21057
21058
21059
21060
21061
21062
21063
21064
21065
21066
21067
21068
21069
21070
21071
21072
21073
21074
21075
21076
21077
21078
21079
21080
21081
21082
21083
21084
21085
21086
21087
21088
21089
21090
21091
21092
21093
21094
21095
21096
21097
21098
21099
21100
21101
21102
21103
21104
21105
21106
21107
21108
21109
21110
21111
21112
21113
21114
21115
21116
21117
21118
21119
21120
21121
21122
21123
21124
21125
21126
21127
21128
21129
21130
21131
21132
21133
21134
21135
21136
21137
21138
21139
21140
21141
21142
21143
21144
21145
21146
21147
21148
21149
21150
21151
21152
21153
21154
21155
21156
21157
21158
21159
21160
21161
21162
21163
21164
21165
21166
21167
21168
21169
21170
21171
21172
21173
21174
21175
21176
21177
21178
21179
21180
21181
21182
21183
21184
21185
21186
21187
21188
21189
21190
21191
21192
21193
21194
21195
21196
21197
21198
21199
21200
21201
21202
21203
21204
21205
21206
21207
21208
21209
21210
21211
21212
21213
21214
21215
21216
21217
21218
21219
21220
21221
21222
21223
21224
21225
21226
21227
21228
21229
21230
21231
21232
21233
21234
21235
21236
21237
21238
21239
21240
21241
21242
21243
21244
21245
21246
21247
21248
21249
21250
21251
21252
21253
21254
21255
21256
21257
21258
21259
21260
21261
21262
21263
21264
21265
21266
21267
21268
21269
21270
21271
21272
21273
21274
21275
21276
21277
21278
21279
21280
21281
21282
21283
21284
21285
21286
21287
21288
21289
21290
21291
21292
21293
21294
21295
21296
21297
21298
21299
21300
21301
21302
21303
21304
21305
21306
21307
21308
21309
21310
21311
21312
21313
21314
21315
21316
21317
21318
21319
21320
21321
21322
21323
21324
21325
21326
21327
21328
21329
21330
21331
21332
21333
21334
21335
21336
21337
21338
21339
21340
21341
21342
21343
21344
21345
21346
21347
21348
21349
21350
21351
21352
21353
21354
21355
21356
21357
21358
21359
21360
21361
21362
21363
21364
21365
21366
21367
21368
21369
21370
21371
21372
21373
21374
21375
21376
21377
21378
21379
21380
21381
21382
21383
21384
21385
21386
21387
21388
21389
21390
21391
21392
21393
21394
21395
21396
21397
21398
21399
21400
21401
21402
21403
21404
21405
21406
21407
21408
21409
21410
21411
21412
21413
21414
21415
21416
21417
21418
21419
21420
21421
21422
21423
21424
21425
21426
21427
21428
21429
21430
21431
21432
21433
21434
21435
21436
21437
21438
21439
21440
21441
21442
21443
21444
21445
21446
21447
21448
21449
21450
21451
21452
21453
21454
21455
21456
21457
21458
21459
21460
21461
21462
21463
21464
21465
21466
21467
21468
21469
21470
21471
21472
21473
21474
21475
21476
21477
21478
21479
21480
21481
21482
21483
21484
21485
21486
21487
21488
21489
21490
21491
21492
21493
21494
21495
21496
21497
21498
21499
21500
21501
21502
21503
21504
21505
21506
21507
21508
21509
21510
21511
21512
21513
21514
21515
21516
21517
21518
21519
21520
21521
21522
21523
21524
21525
21526
21527
21528
21529
21530
21531
21532
21533
21534
21535
21536
21537
21538
21539
21540
21541
21542
21543
21544
21545
21546
21547
21548
21549
21550
21551
21552
21553
21554
21555
21556
21557
21558
21559
21560
21561
21562
21563
21564
21565
21566
21567
21568
21569
21570
21571
21572
21573
21574
21575
21576
21577
21578
21579
21580
21581
21582
21583
21584
21585
21586
21587
21588
21589
21590
21591
21592
21593
21594
21595
21596
21597
21598
21599
21600
21601
21602
21603
21604
21605
21606
21607
21608
21609
21610
21611
21612
21613
21614
21615
21616
21617
21618
21619
21620
21621
21622
21623
21624
21625
21626
21627
21628
21629
21630
21631
21632
21633
21634
21635
21636
21637
21638
21639
21640
21641
21642
21643
21644
21645
21646
21647
21648
21649
21650
21651
21652
21653
21654
21655
21656
21657
21658
21659
21660
21661
21662
21663
21664
21665
21666
21667
21668
21669
21670
21671
21672
21673
21674
21675
21676
21677
21678
21679
21680
21681
21682
21683
21684
21685
21686
21687
21688
21689
21690
21691
21692
21693
21694
21695
21696
21697
21698
21699
21700
21701
21702
21703
21704
21705
21706
21707
21708
21709
21710
21711
21712
21713
21714
21715
21716
21717
21718
21719
21720
21721
21722
21723
21724
21725
21726
21727
21728
21729
21730
21731
21732
21733
21734
21735
21736
21737
21738
21739
21740
21741
21742
21743
21744
21745
21746
21747
21748
21749
21750
21751
21752
21753
21754
21755
21756
21757
21758
21759
21760
21761
21762
21763
21764
21765
21766
21767
21768
21769
21770
21771
21772
21773
21774
21775
21776
21777
21778
21779
21780
21781
21782
21783
21784
21785
21786
21787
21788
21789
21790
21791
21792
21793
21794
21795
21796
21797
21798
21799
21800
21801
21802
21803
21804
21805
21806
21807
21808
21809
21810
21811
21812
21813
21814
21815
21816
21817
21818
21819
21820
21821
21822
21823
21824
21825
21826
21827
21828
21829
21830
21831
21832
21833
21834
21835
21836
21837
21838
21839
21840
21841
21842
21843
21844
21845
21846
21847
21848
21849
21850
21851
21852
21853
21854
21855
21856
21857
21858
21859
21860
21861
21862
21863
21864
21865
21866
21867
21868
21869
21870
21871
21872
21873
21874
21875
21876
21877
21878
21879
21880
21881
21882
21883
21884
21885
21886
21887
21888
21889
21890
21891
21892
21893
21894
21895
21896
21897
21898
21899
21900
21901
21902
21903
21904
21905
21906
21907
21908
21909
21910
21911
21912
21913
21914
21915
21916
21917
21918
21919
21920
21921
21922
21923
21924
21925
21926
21927
21928
21929
21930
21931
21932
21933
21934
21935
21936
21937
21938
21939
21940
21941
21942
21943
21944
21945
21946
21947
21948
21949
21950
21951
21952
21953
21954
21955
21956
21957
21958
21959
21960
21961
21962
21963
21964
21965
21966
21967
21968
21969
21970
21971
21972
21973
21974
21975
21976
21977
21978
21979
21980
21981
21982
21983
21984
21985
21986
21987
21988
21989
21990
21991
21992
21993
21994
21995
21996
21997
21998
21999
22000
22001
22002
22003
22004
22005
22006
22007
22008
22009
22010
22011
22012
22013
22014
22015
22016
22017
22018
22019
22020
22021
22022
22023
22024
22025
22026
22027
22028
22029
22030
22031
22032
22033
22034
22035
22036
22037
22038
22039
22040
22041
22042
22043
22044
22045
22046
22047
22048
22049
22050
22051
22052
22053
22054
22055
22056
22057
22058
22059
22060
22061
22062
22063
22064
22065
22066
22067
22068
22069
22070
22071
22072
22073
22074
22075
22076
22077
22078
22079
22080
22081
22082
22083
22084
22085
22086
22087
22088
22089
22090
22091
22092
22093
22094
22095
22096
22097
22098
22099
22100
22101
22102
22103
22104
22105
22106
22107
22108
22109
22110
22111
22112
22113
22114
22115
22116
22117
22118
22119
22120
22121
22122
22123
22124
22125
22126
22127
22128
22129
22130
22131
22132
22133
22134
22135
22136
22137
22138
22139
22140
22141
22142
22143
22144
22145
22146
22147
22148
22149
22150
22151
22152
22153
22154
22155
22156
22157
22158
22159
22160
22161
22162
22163
22164
22165
22166
22167
22168
22169
22170
22171
22172
22173
22174
22175
22176
22177
22178
22179
22180
22181
22182
22183
22184
22185
22186
22187
22188
22189
22190
22191
22192
22193
22194
22195
22196
22197
22198
22199
22200
22201
22202
22203
22204
22205
22206
22207
22208
22209
22210
22211
22212
22213
22214
22215
22216
22217
22218
22219
22220
22221
22222
22223
22224
22225
22226
22227
22228
22229
22230
22231
22232
22233
22234
22235
22236
22237
22238
22239
22240
22241
22242
22243
22244
22245
22246
22247
22248
22249
22250
22251
22252
22253
22254
22255
22256
22257
22258
22259
22260
22261
22262
22263
22264
22265
22266
22267
22268
22269
22270
22271
22272
22273
22274
22275
22276
22277
22278
22279
22280
22281
22282
22283
22284
22285
22286
22287
22288
22289
22290
22291
22292
22293
22294
22295
22296
22297
22298
22299
22300
22301
22302
22303
22304
22305
22306
22307
22308
22309
22310
22311
22312
22313
22314
22315
22316
22317
22318
22319
22320
22321
22322
22323
22324
22325
22326
22327
22328
22329
22330
22331
22332
22333
22334
22335
22336
22337
22338
22339
22340
22341
22342
22343
22344
22345
22346
22347
22348
22349
22350
22351
22352
22353
22354
22355
22356
22357
22358
22359
22360
22361
22362
22363
22364
22365
22366
22367
22368
22369
22370
22371
22372
22373
22374
22375
22376
22377
22378
22379
22380
22381
22382
22383
22384
22385
22386
22387
22388
22389
22390
22391
22392
22393
22394
22395
22396
22397
22398
22399
22400
22401
22402
22403
22404
22405
22406
22407
22408
22409
22410
22411
22412
22413
22414
22415
22416
22417
22418
22419
22420
22421
22422
22423
22424
22425
22426
22427
22428
22429
22430
22431
22432
22433
22434
22435
22436
22437
22438
22439
22440
22441
22442
22443
22444
22445
22446
22447
22448
22449
22450
22451
22452
22453
22454
22455
22456
22457
22458
22459
22460
22461
22462
22463
22464
22465
22466
22467
22468
22469
22470
22471
22472
22473
22474
22475
22476
22477
22478
22479
22480
22481
22482
22483
22484
22485
22486
22487
22488
22489
22490
22491
22492
22493
22494
22495
22496
22497
22498
22499
22500
22501
22502
22503
22504
22505
22506
22507
22508
22509
22510
22511
22512
22513
22514
22515
22516
22517
22518
22519
22520
22521
22522
22523
22524
22525
22526
22527
22528
22529
22530
22531
22532
22533
22534
22535
22536
22537
22538
22539
22540
22541
22542
22543
22544
22545
22546
22547
22548
22549
22550
22551
22552
22553
22554
22555
22556
22557
22558
22559
22560
22561
22562
22563
22564
22565
22566
22567
22568
22569
22570
22571
22572
22573
22574
22575
22576
22577
22578
22579
22580
22581
22582
22583
22584
22585
22586
22587
22588
22589
22590
22591
22592
22593
22594
22595
22596
22597
22598
22599
22600
22601
22602
22603
22604
22605
22606
22607
22608
22609
22610
22611
22612
22613
22614
22615
22616
22617
22618
22619
22620
22621
22622
22623
22624
22625
22626
22627
22628
22629
22630
22631
22632
22633
22634
22635
22636
22637
22638
22639
22640
22641
22642
22643
22644
22645
22646
22647
22648
22649
22650
22651
22652
22653
22654
22655
22656
22657
22658
22659
22660
22661
22662
22663
22664
22665
22666
22667
22668
22669
22670
22671
22672
22673
22674
22675
22676
22677
22678
22679
22680
22681
22682
22683
22684
22685
22686
22687
22688
22689
22690
22691
22692
22693
22694
22695
22696
22697
22698
22699
22700
22701
22702
22703
22704
22705
22706
22707
22708
22709
22710
22711
22712
22713
22714
22715
22716
22717
22718
22719
22720
22721
22722
22723
22724
22725
22726
22727
22728
22729
22730
22731
22732
22733
22734
22735
22736
22737
22738
22739
22740
22741
22742
22743
22744
22745
22746
22747
22748
22749
22750
22751
22752
22753
22754
22755
22756
22757
22758
22759
22760
22761
22762
22763
22764
22765
22766
22767
22768
22769
22770
22771
22772
22773
22774
22775
22776
22777
22778
22779
22780
22781
22782
22783
22784
22785
22786
22787
22788
22789
22790
22791
22792
22793
22794
22795
22796
22797
22798
22799
22800
22801
22802
22803
22804
22805
22806
22807
22808
22809
22810
22811
22812
22813
22814
22815
22816
22817
22818
22819
22820
22821
22822
22823
22824
22825
22826
22827
22828
22829
22830
22831
22832
22833
22834
22835
22836
22837
22838
22839
22840
22841
22842
22843
22844
22845
22846
22847
22848
22849
22850
22851
22852
22853
22854
22855
22856
22857
22858
22859
22860
22861
22862
22863
22864
22865
22866
22867
22868
22869
22870
22871
22872
22873
22874
22875
22876
22877
22878
22879
22880
22881
22882
22883
22884
22885
22886
22887
22888
22889
22890
22891
22892
22893
22894
22895
22896
22897
22898
22899
22900
22901
22902
22903
22904
22905
22906
22907
22908
22909
22910
22911
22912
22913
22914
22915
22916
22917
22918
22919
22920
22921
22922
22923
22924
22925
22926
22927
22928
22929
22930
22931
22932
22933
22934
22935
22936
22937
22938
22939
22940
22941
22942
22943
22944
22945
22946
22947
22948
22949
22950
22951
22952
22953
22954
22955
22956
22957
22958
22959
22960
22961
22962
22963
22964
22965
22966
22967
22968
22969
22970
22971
22972
22973
22974
22975
22976
22977
22978
22979
22980
22981
22982
22983
22984
22985
22986
22987
22988
22989
22990
22991
22992
22993
22994
22995
22996
22997
22998
22999
23000
23001
23002
23003
23004
23005
23006
23007
23008
23009
23010
23011
23012
23013
23014
23015
23016
23017
23018
23019
23020
23021
23022
23023
23024
23025
23026
23027
23028
23029
23030
23031
23032
23033
23034
23035
23036
23037
23038
23039
23040
23041
23042
23043
23044
23045
23046
23047
23048
23049
23050
23051
23052
23053
23054
23055
23056
23057
23058
23059
23060
23061
23062
23063
23064
23065
23066
23067
23068
23069
23070
23071
23072
23073
23074
23075
23076
23077
23078
23079
23080
23081
23082
23083
23084
23085
23086
23087
23088
23089
23090
23091
23092
23093
23094
23095
23096
23097
23098
23099
23100
23101
23102
23103
23104
23105
23106
23107
23108
23109
23110
23111
23112
23113
23114
23115
23116
23117
23118
23119
23120
23121
23122
23123
23124
23125
23126
23127
23128
23129
23130
23131
23132
23133
23134
23135
23136
23137
23138
23139
23140
23141
23142
23143
23144
23145
23146
23147
23148
23149
23150
23151
23152
23153
23154
23155
23156
23157
23158
23159
23160
23161
23162
23163
23164
23165
23166
23167
23168
23169
23170
23171
23172
23173
23174
23175
23176
23177
23178
23179
23180
23181
23182
23183
23184
23185
23186
23187
23188
23189
23190
23191
23192
23193
23194
23195
23196
23197
23198
23199
23200
23201
23202
23203
23204
23205
23206
23207
23208
23209
23210
23211
23212
23213
23214
23215
23216
23217
23218
23219
23220
23221
23222
23223
23224
23225
23226
23227
23228
23229
23230
23231
23232
23233
23234
23235
23236
23237
23238
23239
23240
23241
23242
23243
23244
23245
23246
23247
23248
23249
23250
23251
23252
23253
23254
23255
23256
23257
23258
23259
23260
23261
23262
23263
23264
23265
23266
23267
23268
23269
23270
23271
23272
23273
23274
23275
23276
23277
23278
23279
23280
23281
23282
23283
23284
23285
23286
23287
23288
23289
23290
23291
23292
23293
23294
23295
23296
23297
23298
23299
23300
23301
23302
23303
23304
23305
23306
23307
23308
23309
23310
23311
23312
23313
23314
23315
23316
23317
23318
23319
23320
23321
23322
23323
23324
23325
23326
23327
23328
23329
23330
23331
23332
23333
23334
23335
23336
23337
23338
23339
23340
23341
23342
23343
23344
23345
23346
23347
23348
23349
23350
23351
23352
23353
23354
23355
23356
23357
23358
23359
23360
23361
23362
23363
23364
23365
23366
23367
23368
23369
23370
23371
23372
23373
23374
23375
23376
23377
23378
23379
23380
23381
23382
23383
23384
23385
23386
23387
23388
23389
23390
23391
23392
23393
23394
23395
23396
23397
23398
23399
23400
23401
23402
23403
23404
23405
23406
23407
23408
23409
23410
23411
23412
23413
23414
23415
23416
23417
23418
23419
23420
23421
23422
23423
23424
23425
23426
23427
23428
23429
23430
23431
23432
23433
23434
23435
23436
23437
23438
23439
23440
23441
23442
23443
23444
23445
23446
23447
23448
23449
23450
23451
23452
23453
23454
23455
23456
23457
23458
23459
23460
23461
23462
23463
23464
23465
23466
23467
23468
23469
23470
23471
23472
23473
23474
23475
23476
23477
23478
23479
23480
23481
23482
23483
23484
23485
23486
23487
23488
23489
23490
23491
23492
23493
23494
23495
23496
23497
23498
23499
23500
23501
23502
23503
23504
23505
23506
23507
23508
23509
23510
23511
23512
23513
23514
23515
23516
23517
23518
23519
23520
23521
23522
23523
23524
23525
23526
23527
23528
23529
23530
23531
23532
23533
23534
23535
23536
23537
23538
23539
23540
23541
23542
23543
23544
23545
23546
23547
23548
23549
23550
23551
23552
23553
23554
23555
23556
23557
23558
23559
23560
23561
23562
23563
23564
23565
23566
23567
23568
23569
23570
23571
23572
23573
23574
23575
23576
23577
23578
23579
23580
23581
23582
23583
23584
23585
23586
23587
23588
23589
23590
23591
23592
23593
23594
23595
23596
23597
23598
23599
23600
23601
23602
23603
23604
23605
23606
23607
23608
23609
23610
23611
23612
23613
23614
23615
23616
23617
23618
23619
23620
23621
23622
23623
23624
23625
23626
23627
23628
23629
23630
23631
23632
23633
23634
23635
23636
23637
23638
23639
23640
23641
23642
23643
23644
23645
23646
23647
23648
23649
23650
23651
23652
23653
23654
23655
23656
23657
23658
23659
23660
23661
23662
23663
23664
23665
23666
23667
23668
23669
23670
23671
23672
23673
23674
23675
23676
23677
23678
23679
23680
23681
23682
23683
23684
23685
23686
23687
23688
23689
23690
23691
23692
23693
23694
23695
23696
23697
23698
23699
23700
23701
23702
23703
23704
23705
23706
23707
23708
23709
23710
23711
23712
23713
23714
23715
23716
23717
23718
23719
23720
23721
23722
23723
23724
23725
23726
23727
23728
23729
23730
23731
23732
23733
23734
23735
23736
23737
23738
23739
23740
23741
23742
23743
23744
23745
23746
23747
23748
23749
23750
23751
23752
23753
23754
23755
23756
23757
23758
23759
23760
23761
23762
23763
23764
23765
23766
23767
23768
23769
23770
23771
23772
23773
23774
23775
23776
23777
23778
23779
23780
23781
23782
23783
23784
23785
23786
23787
23788
23789
23790
23791
23792
23793
23794
23795
23796
23797
23798
23799
23800
23801
23802
23803
23804
23805
23806
23807
23808
23809
23810
23811
23812
23813
23814
23815
23816
23817
23818
23819
23820
23821
23822
23823
23824
23825
23826
23827
23828
23829
23830
23831
23832
23833
23834
23835
23836
23837
23838
23839
23840
23841
23842
23843
23844
23845
23846
23847
23848
23849
23850
23851
23852
23853
23854
23855
23856
23857
23858
23859
23860
23861
23862
23863
23864
23865
23866
23867
23868
23869
23870
23871
23872
23873
23874
23875
23876
23877
23878
23879
23880
23881
23882
23883
23884
23885
23886
23887
23888
23889
23890
23891
23892
23893
23894
23895
23896
23897
23898
23899
23900
23901
23902
23903
23904
23905
23906
23907
23908
23909
23910
23911
23912
23913
23914
23915
23916
23917
23918
23919
23920
23921
23922
23923
23924
23925
23926
23927
23928
23929
23930
23931
23932
23933
23934
23935
23936
23937
23938
23939
23940
23941
23942
23943
23944
23945
23946
23947
23948
23949
23950
23951
23952
23953
23954
23955
23956
23957
23958
23959
23960
23961
23962
23963
23964
23965
23966
23967
23968
23969
23970
23971
23972
23973
23974
23975
23976
23977
23978
23979
23980
23981
23982
23983
23984
23985
23986
23987
23988
23989
23990
23991
23992
23993
23994
23995
23996
23997
23998
23999
24000
24001
24002
24003
24004
24005
24006
24007
24008
24009
24010
24011
24012
24013
24014
24015
24016
24017
24018
24019
24020
24021
24022
24023
24024
24025
24026
24027
24028
24029
24030
24031
24032
24033
24034
24035
24036
24037
24038
24039
24040
24041
24042
24043
24044
24045
24046
24047
24048
24049
24050
24051
24052
24053
24054
24055
24056
24057
24058
24059
24060
24061
24062
24063
24064
24065
24066
24067
24068
24069
24070
24071
24072
24073
24074
24075
24076
24077
24078
24079
24080
24081
24082
24083
24084
24085
24086
24087
24088
24089
24090
24091
24092
24093
24094
24095
24096
24097
24098
24099
24100
24101
24102
24103
24104
24105
24106
24107
24108
24109
24110
24111
24112
24113
24114
24115
24116
24117
24118
24119
24120
24121
24122
24123
24124
24125
24126
24127
24128
24129
24130
24131
24132
24133
24134
24135
24136
24137
24138
24139
24140
24141
24142
24143
24144
24145
24146
24147
24148
24149
24150
24151
24152
24153
24154
24155
24156
24157
24158
24159
24160
24161
24162
24163
24164
24165
24166
24167
24168
24169
24170
24171
24172
24173
24174
24175
24176
24177
24178
24179
24180
24181
24182
24183
24184
24185
24186
24187
24188
24189
24190
24191
24192
24193
24194
24195
24196
24197
24198
24199
24200
24201
24202
24203
24204
24205
24206
24207
24208
24209
24210
24211
24212
24213
24214
24215
24216
24217
24218
24219
24220
24221
24222
24223
24224
24225
24226
24227
24228
24229
24230
24231
24232
24233
24234
24235
24236
24237
24238
24239
24240
24241
24242
24243
24244
24245
24246
24247
24248
24249
24250
24251
24252
24253
24254
24255
24256
24257
24258
24259
24260
24261
24262
24263
24264
24265
24266
24267
24268
24269
24270
24271
24272
24273
24274
24275
24276
24277
24278
24279
24280
24281
24282
24283
24284
24285
24286
24287
24288
24289
24290
24291
24292
24293
24294
24295
24296
24297
24298
24299
24300
24301
24302
24303
24304
24305
24306
24307
24308
24309
24310
24311
24312
24313
24314
24315
24316
24317
24318
24319
24320
24321
24322
24323
24324
24325
24326
24327
24328
24329
24330
24331
24332
24333
24334
24335
24336
24337
24338
24339
24340
24341
24342
24343
24344
24345
24346
24347
24348
24349
24350
24351
24352
24353
24354
24355
24356
24357
24358
24359
24360
24361
24362
24363
24364
24365
24366
24367
24368
24369
24370
24371
24372
24373
24374
24375
24376
24377
24378
24379
24380
24381
24382
24383
24384
24385
24386
24387
24388
24389
24390
24391
24392
24393
24394
24395
24396
24397
24398
24399
24400
24401
24402
24403
24404
24405
24406
24407
24408
24409
24410
24411
24412
24413
24414
24415
24416
24417
24418
24419
24420
24421
24422
24423
24424
24425
24426
24427
24428
24429
24430
24431
24432
24433
24434
24435
24436
24437
24438
24439
24440
24441
24442
24443
24444
24445
24446
24447
24448
24449
24450
24451
24452
24453
24454
24455
24456
24457
24458
24459
24460
24461
24462
24463
24464
24465
24466
24467
24468
24469
24470
24471
24472
24473
24474
24475
24476
24477
24478
24479
24480
24481
24482
24483
24484
24485
24486
24487
24488
24489
24490
24491
24492
24493
24494
24495
24496
24497
24498
24499
24500
24501
24502
24503
24504
24505
24506
24507
24508
24509
24510
24511
24512
24513
24514
24515
24516
24517
24518
24519
24520
24521
24522
24523
24524
24525
24526
24527
24528
24529
24530
24531
24532
24533
24534
24535
24536
24537
24538
24539
24540
24541
24542
24543
24544
24545
24546
24547
24548
24549
24550
24551
24552
24553
24554
24555
24556
24557
24558
24559
24560
24561
24562
24563
24564
24565
24566
24567
24568
24569
24570
24571
24572
24573
24574
24575
24576
24577
24578
24579
24580
24581
24582
24583
24584
24585
24586
24587
24588
24589
24590
24591
24592
24593
24594
24595
24596
24597
24598
24599
24600
24601
24602
24603
24604
24605
24606
24607
24608
24609
24610
24611
24612
24613
24614
24615
24616
24617
24618
24619
24620
24621
24622
24623
24624
24625
24626
24627
24628
24629
24630
24631
24632
24633
24634
24635
24636
24637
24638
24639
24640
24641
24642
24643
24644
24645
24646
24647
24648
24649
24650
24651
24652
24653
24654
24655
24656
24657
24658
24659
24660
24661
24662
24663
24664
24665
24666
24667
24668
24669
24670
24671
24672
24673
24674
24675
24676
24677
24678
24679
24680
24681
24682
24683
24684
24685
24686
24687
24688
24689
24690
24691
24692
24693
24694
24695
24696
24697
24698
24699
24700
24701
24702
24703
24704
24705
24706
24707
24708
24709
24710
24711
24712
24713
24714
24715
24716
24717
24718
24719
24720
24721
24722
24723
24724
24725
24726
24727
24728
24729
24730
24731
24732
24733
24734
24735
24736
24737
24738
24739
24740
24741
24742
24743
24744
24745
24746
24747
24748
24749
24750
24751
24752
24753
24754
24755
24756
24757
24758
24759
24760
24761
24762
24763
24764
24765
24766
24767
24768
24769
24770
24771
24772
24773
24774
24775
24776
24777
24778
24779
24780
24781
24782
24783
24784
24785
24786
24787
24788
24789
24790
24791
24792
24793
24794
24795
24796
24797
24798
24799
24800
24801
24802
24803
24804
24805
24806
24807
24808
24809
24810
24811
24812
24813
24814
24815
24816
24817
24818
24819
24820
24821
24822
24823
24824
24825
24826
24827
24828
24829
24830
24831
24832
24833
24834
24835
24836
24837
24838
24839
24840
24841
24842
24843
24844
24845
24846
24847
24848
24849
24850
24851
24852
24853
24854
24855
24856
24857
24858
24859
24860
24861
24862
24863
24864
24865
24866
24867
24868
24869
24870
24871
24872
24873
24874
24875
24876
24877
24878
24879
24880
24881
24882
24883
24884
24885
24886
24887
24888
24889
24890
24891
24892
24893
24894
24895
24896
24897
24898
24899
24900
24901
24902
24903
24904
24905
24906
24907
24908
24909
24910
24911
24912
24913
24914
24915
24916
24917
24918
24919
24920
24921
24922
24923
24924
24925
24926
24927
24928
24929
24930
24931
24932
24933
24934
24935
24936
24937
24938
24939
24940
24941
24942
24943
24944
24945
24946
24947
24948
24949
24950
24951
24952
24953
24954
24955
24956
24957
24958
24959
24960
24961
24962
24963
24964
24965
24966
24967
24968
24969
24970
24971
24972
24973
24974
24975
24976
24977
24978
24979
24980
24981
24982
24983
24984
24985
24986
24987
24988
24989
24990
24991
24992
24993
24994
24995
24996
24997
24998
24999
25000
25001
25002
25003
25004
25005
25006
25007
25008
25009
25010
25011
25012
25013
25014
25015
25016
25017
25018
25019
25020
25021
25022
25023
25024
25025
25026
25027
25028
25029
25030
25031
25032
25033
25034
25035
25036
25037
25038
25039
25040
25041
25042
25043
25044
25045
25046
25047
25048
25049
25050
25051
25052
25053
25054
25055
25056
25057
25058
25059
25060
25061
25062
25063
25064
25065
25066
25067
25068
25069
25070
25071
25072
25073
25074
25075
25076
25077
25078
25079
25080
25081
25082
25083
25084
25085
25086
25087
25088
25089
25090
25091
25092
25093
25094
25095
25096
25097
25098
25099
25100
25101
25102
25103
25104
25105
25106
25107
25108
25109
25110
25111
25112
25113
25114
25115
25116
25117
25118
25119
25120
25121
25122
25123
25124
25125
25126
25127
25128
25129
25130
25131
25132
25133
25134
25135
25136
25137
25138
25139
25140
25141
25142
25143
25144
25145
25146
25147
25148
25149
25150
25151
25152
25153
25154
25155
25156
25157
25158
25159
25160
25161
25162
25163
25164
25165
25166
25167
25168
25169
25170
25171
25172
25173
25174
25175
25176
25177
25178
25179
25180
25181
25182
25183
25184
25185
25186
25187
25188
25189
25190
25191
25192
25193
25194
25195
25196
25197
25198
25199
25200
25201
25202
25203
25204
25205
25206
25207
25208
25209
25210
25211
25212
25213
25214
25215
25216
25217
25218
25219
25220
25221
25222
25223
25224
25225
25226
25227
25228
25229
25230
25231
25232
25233
25234
25235
25236
25237
25238
25239
25240
25241
25242
25243
25244
25245
25246
25247
25248
25249
25250
25251
25252
25253
25254
25255
25256
25257
25258
25259
25260
25261
25262
25263
25264
25265
25266
25267
25268
25269
25270
25271
25272
25273
25274
25275
25276
25277
25278
25279
25280
25281
25282
25283
25284
25285
25286
25287
25288
25289
25290
25291
25292
25293
25294
25295
25296
25297
25298
25299
25300
25301
25302
25303
25304
25305
25306
25307
25308
25309
25310
25311
25312
25313
25314
25315
25316
25317
25318
25319
25320
25321
25322
25323
25324
25325
25326
25327
25328
25329
25330
25331
25332
25333
25334
25335
25336
25337
25338
25339
25340
25341
25342
25343
25344
25345
25346
25347
25348
25349
25350
25351
25352
25353
25354
25355
25356
25357
25358
25359
25360
25361
25362
25363
25364
25365
25366
25367
25368
25369
25370
25371
25372
25373
25374
25375
25376
25377
25378
25379
25380
25381
25382
25383
25384
25385
25386
25387
25388
25389
25390
25391
25392
25393
25394
25395
25396
25397
25398
25399
25400
25401
25402
25403
25404
25405
25406
25407
25408
25409
25410
25411
25412
25413
25414
25415
25416
25417
25418
25419
25420
25421
25422
25423
25424
25425
25426
25427
25428
25429
25430
25431
25432
25433
25434
25435
25436
25437
25438
25439
25440
25441
25442
25443
25444
25445
25446
25447
25448
25449
25450
25451
25452
25453
25454
25455
25456
25457
25458
25459
25460
25461
25462
25463
25464
25465
25466
25467
25468
25469
25470
25471
25472
25473
25474
25475
25476
25477
25478
25479
25480
25481
25482
25483
25484
25485
25486
25487
25488
25489
25490
25491
25492
25493
25494
25495
25496
25497
25498
25499
25500
25501
25502
25503
25504
25505
25506
25507
25508
25509
25510
25511
25512
25513
25514
25515
25516
25517
25518
25519
25520
25521
25522
25523
25524
25525
25526
25527
25528
25529
25530
25531
25532
25533
25534
25535
25536
25537
25538
25539
25540
25541
25542
25543
25544
25545
25546
25547
25548
25549
25550
25551
25552
25553
25554
25555
25556
25557
25558
25559
25560
25561
25562
25563
25564
25565
25566
25567
25568
25569
25570
25571
25572
25573
25574
25575
25576
25577
25578
25579
25580
25581
25582
25583
25584
25585
25586
25587
25588
25589
25590
25591
25592
25593
25594
25595
25596
25597
25598
25599
25600
25601
25602
25603
25604
25605
25606
25607
25608
25609
25610
25611
25612
25613
25614
25615
25616
25617
25618
25619
25620
25621
25622
25623
25624
25625
25626
25627
25628
25629
25630
25631
25632
25633
25634
25635
25636
25637
25638
25639
25640
25641
25642
25643
25644
25645
25646
25647
25648
25649
25650
25651
25652
25653
25654
25655
25656
25657
25658
25659
25660
25661
25662
25663
25664
25665
25666
25667
25668
25669
25670
25671
25672
25673
25674
25675
25676
25677
25678
25679
25680
25681
25682
25683
25684
25685
25686
25687
25688
25689
25690
25691
25692
25693
25694
25695
25696
25697
25698
25699
25700
25701
25702
25703
25704
25705
25706
25707
25708
25709
25710
25711
25712
25713
25714
25715
25716
25717
25718
25719
25720
25721
25722
25723
25724
25725
25726
25727
25728
25729
25730
25731
25732
25733
25734
25735
25736
25737
25738
25739
25740
25741
25742
25743
25744
25745
25746
25747
25748
25749
25750
25751
25752
25753
25754
25755
25756
25757
25758
25759
25760
25761
25762
25763
25764
25765
25766
25767
25768
25769
25770
25771
25772
25773
25774
25775
25776
25777
25778
25779
25780
25781
25782
25783
25784
25785
25786
25787
25788
25789
25790
25791
25792
25793
25794
25795
25796
25797
25798
25799
25800
25801
25802
25803
25804
25805
25806
25807
25808
25809
25810
25811
25812
25813
25814
25815
25816
25817
25818
25819
25820
25821
25822
25823
25824
25825
25826
25827
25828
25829
25830
25831
25832
25833
25834
25835
25836
25837
25838
25839
25840
25841
25842
25843
25844
25845
25846
25847
25848
25849
25850
25851
25852
25853
25854
25855
25856
25857
25858
25859
25860
25861
25862
25863
25864
25865
25866
25867
25868
25869
25870
25871
25872
25873
25874
25875
25876
25877
25878
25879
25880
25881
25882
25883
25884
25885
25886
25887
25888
25889
25890
25891
25892
25893
25894
25895
25896
25897
25898
25899
25900
25901
25902
25903
25904
25905
25906
25907
25908
25909
25910
25911
25912
25913
25914
25915
25916
25917
25918
25919
25920
25921
25922
25923
25924
25925
25926
25927
25928
25929
25930
25931
25932
25933
25934
25935
25936
25937
25938
25939
25940
25941
25942
25943
25944
25945
25946
25947
25948
25949
25950
25951
25952
25953
25954
25955
25956
25957
25958
25959
25960
25961
25962
25963
25964
25965
25966
25967
25968
25969
25970
25971
25972
25973
25974
25975
25976
25977
25978
25979
25980
25981
25982
25983
25984
25985
25986
25987
25988
25989
25990
25991
25992
25993
25994
25995
25996
25997
25998
25999
26000
26001
26002
26003
26004
26005
26006
26007
26008
26009
26010
26011
26012
26013
26014
26015
26016
26017
26018
26019
26020
26021
26022
26023
26024
26025
26026
26027
26028
26029
26030
26031
26032
26033
26034
26035
26036
26037
26038
26039
26040
26041
26042
26043
26044
26045
26046
26047
26048
26049
26050
26051
26052
26053
26054
26055
26056
26057
26058
26059
26060
26061
26062
26063
26064
26065
26066
26067
26068
26069
26070
26071
26072
26073
26074
26075
26076
26077
26078
26079
26080
26081
26082
26083
26084
26085
26086
26087
26088
26089
26090
26091
26092
26093
26094
26095
26096
26097
26098
26099
26100
26101
26102
26103
26104
26105
26106
26107
26108
26109
26110
26111
26112
26113
26114
26115
26116
26117
26118
26119
26120
26121
26122
26123
26124
26125
26126
26127
26128
26129
26130
26131
26132
26133
26134
26135
26136
26137
26138
26139
26140
26141
26142
26143
26144
26145
26146
26147
26148
26149
26150
26151
26152
26153
26154
26155
26156
26157
26158
26159
26160
26161
26162
26163
26164
26165
26166
26167
26168
26169
26170
26171
26172
26173
26174
26175
26176
26177
26178
26179
26180
26181
26182
26183
26184
26185
26186
26187
26188
26189
26190
26191
26192
26193
26194
26195
26196
26197
26198
26199
26200
26201
26202
26203
26204
26205
26206
26207
26208
26209
26210
26211
26212
26213
26214
26215
26216
26217
26218
26219
26220
26221
26222
26223
26224
26225
26226
26227
26228
26229
26230
26231
26232
26233
26234
26235
26236
26237
26238
26239
26240
26241
26242
26243
26244
26245
26246
26247
26248
26249
26250
26251
26252
26253
26254
26255
26256
26257
26258
26259
26260
26261
26262
26263
26264
26265
26266
26267
26268
26269
26270
26271
26272
26273
26274
26275
26276
26277
26278
26279
26280
26281
26282
26283
26284
26285
26286
26287
26288
26289
26290
26291
26292
26293
26294
26295
26296
26297
26298
26299
26300
26301
26302
26303
26304
26305
26306
26307
26308
26309
26310
26311
26312
26313
26314
26315
26316
26317
26318
26319
26320
26321
26322
26323
26324
26325
26326
26327
26328
26329
26330
26331
26332
26333
26334
26335
26336
26337
26338
26339
26340
26341
26342
26343
26344
26345
26346
26347
26348
26349
26350
26351
26352
26353
26354
26355
26356
26357
26358
26359
26360
26361
26362
26363
26364
26365
26366
26367
26368
26369
26370
26371
26372
26373
26374
26375
26376
26377
26378
26379
26380
26381
26382
26383
26384
26385
26386
26387
26388
26389
26390
26391
26392
26393
26394
26395
26396
26397
26398
26399
26400
26401
26402
26403
26404
26405
26406
26407
26408
26409
26410
26411
26412
26413
26414
26415
26416
26417
26418
26419
26420
26421
26422
26423
26424
26425
26426
26427
26428
26429
26430
26431
26432
26433
26434
26435
26436
26437
26438
26439
26440
26441
26442
26443
26444
26445
26446
26447
26448
26449
26450
26451
26452
26453
26454
26455
26456
26457
26458
26459
26460
26461
26462
26463
26464
26465
26466
26467
26468
26469
26470
26471
26472
26473
26474
26475
26476
26477
26478
26479
26480
26481
26482
26483
26484
26485
26486
26487
26488
26489
26490
26491
26492
26493
26494
26495
26496
26497
26498
26499
26500
26501
26502
26503
26504
26505
26506
26507
26508
26509
26510
26511
26512
26513
26514
26515
26516
26517
26518
26519
26520
26521
26522
26523
26524
26525
26526
26527
26528
26529
26530
26531
26532
26533
26534
26535
26536
26537
26538
26539
26540
26541
26542
26543
26544
26545
26546
26547
26548
26549
26550
26551
26552
26553
26554
26555
26556
26557
26558
26559
26560
26561
26562
26563
26564
26565
26566
26567
26568
26569
26570
26571
26572
26573
26574
26575
26576
26577
26578
26579
26580
26581
26582
26583
26584
26585
26586
26587
26588
26589
26590
26591
26592
26593
26594
26595
26596
26597
26598
26599
26600
26601
26602
26603
26604
26605
26606
26607
26608
26609
26610
26611
26612
26613
26614
26615
26616
26617
26618
26619
26620
26621
26622
26623
26624
26625
26626
26627
26628
26629
26630
26631
26632
26633
26634
26635
26636
26637
26638
26639
26640
26641
26642
26643
26644
26645
26646
26647
26648
26649
26650
26651
26652
26653
26654
26655
26656
26657
26658
26659
26660
26661
26662
26663
26664
26665
26666
26667
26668
26669
26670
26671
26672
26673
26674
26675
26676
26677
26678
26679
26680
26681
26682
26683
26684
26685
26686
26687
26688
26689
26690
26691
26692
26693
26694
26695
26696
26697
26698
26699
26700
26701
26702
26703
26704
26705
26706
26707
26708
26709
26710
26711
26712
26713
26714
26715
26716
26717
26718
26719
26720
26721
26722
26723
26724
26725
26726
26727
26728
26729
26730
26731
26732
26733
26734
26735
26736
26737
26738
26739
26740
26741
26742
26743
26744
26745
26746
26747
26748
26749
26750
26751
26752
26753
26754
26755
26756
26757
26758
26759
26760
26761
26762
26763
26764
26765
26766
26767
26768
26769
26770
26771
26772
26773
26774
26775
26776
26777
26778
26779
26780
26781
26782
26783
26784
26785
26786
26787
26788
26789
26790
26791
26792
26793
26794
26795
26796
26797
26798
26799
26800
26801
26802
26803
26804
26805
26806
26807
26808
26809
26810
26811
26812
26813
26814
26815
26816
26817
26818
26819
26820
26821
26822
26823
26824
26825
26826
26827
26828
26829
26830
26831
26832
26833
26834
26835
26836
26837
26838
26839
26840
26841
26842
26843
26844
26845
26846
26847
26848
26849
26850
26851
26852
26853
26854
26855
26856
26857
26858
26859
26860
26861
26862
26863
26864
26865
26866
26867
26868
26869
26870
26871
26872
26873
26874
26875
26876
26877
26878
26879
26880
26881
26882
26883
26884
26885
26886
26887
26888
26889
26890
26891
26892
26893
26894
26895
26896
26897
26898
26899
26900
26901
26902
26903
26904
26905
26906
26907
26908
26909
26910
26911
26912
26913
26914
26915
26916
26917
26918
26919
26920
26921
26922
26923
26924
26925
26926
26927
26928
26929
26930
26931
26932
26933
26934
26935
26936
26937
26938
26939
26940
26941
26942
26943
26944
26945
26946
26947
26948
26949
26950
26951
26952
26953
26954
26955
26956
26957
26958
26959
26960
26961
26962
26963
26964
26965
26966
26967
26968
26969
26970
26971
26972
26973
26974
26975
26976
26977
26978
26979
26980
26981
26982
26983
26984
26985
26986
26987
26988
26989
26990
26991
26992
26993
26994
26995
26996
26997
26998
26999
27000
27001
27002
27003
27004
27005
27006
27007
27008
27009
27010
27011
27012
27013
27014
27015
27016
27017
27018
27019
27020
27021
27022
27023
27024
27025
27026
27027
27028
27029
27030
27031
27032
27033
27034
27035
27036
27037
27038
27039
27040
27041
27042
27043
27044
27045
27046
27047
27048
27049
27050
27051
27052
27053
27054
27055
27056
27057
27058
27059
27060
27061
27062
27063
27064
27065
27066
27067
27068
27069
27070
27071
27072
27073
27074
27075
27076
27077
27078
27079
27080
27081
27082
27083
27084
27085
27086
27087
27088
27089
27090
27091
27092
27093
27094
27095
27096
27097
27098
27099
27100
27101
27102
27103
27104
27105
27106
27107
27108
27109
27110
27111
27112
27113
27114
27115
27116
27117
27118
27119
27120
27121
27122
27123
27124
27125
27126
27127
27128
27129
27130
27131
27132
27133
27134
27135
27136
27137
27138
27139
27140
27141
27142
27143
27144
27145
27146
27147
27148
27149
27150
27151
27152
27153
27154
27155
27156
27157
27158
27159
27160
27161
27162
27163
27164
27165
27166
27167
27168
27169
27170
27171
27172
27173
27174
27175
27176
27177
27178
27179
27180
27181
27182
27183
27184
27185
27186
27187
27188
27189
27190
27191
27192
27193
27194
27195
27196
27197
27198
27199
27200
27201
27202
27203
27204
27205
27206
27207
27208
27209
27210
27211
27212
27213
27214
27215
27216
27217
27218
27219
27220
27221
27222
27223
27224
27225
27226
27227
27228
27229
27230
27231
27232
27233
27234
27235
27236
27237
27238
27239
27240
27241
27242
27243
27244
27245
27246
27247
27248
27249
27250
27251
27252
27253
27254
27255
27256
27257
27258
27259
27260
27261
27262
27263
27264
27265
27266
27267
27268
27269
27270
27271
27272
27273
27274
27275
27276
27277
27278
27279
27280
27281
27282
27283
27284
27285
27286
27287
27288
27289
27290
27291
27292
27293
27294
27295
27296
27297
27298
27299
27300
27301
27302
27303
27304
27305
27306
27307
27308
27309
27310
27311
27312
27313
27314
27315
27316
27317
27318
27319
27320
27321
27322
27323
27324
27325
27326
27327
27328
27329
27330
27331
27332
27333
27334
27335
27336
27337
27338
27339
27340
27341
27342
27343
27344
27345
27346
27347
27348
27349
27350
27351
27352
27353
27354
27355
27356
27357
27358
27359
27360
27361
27362
27363
27364
27365
27366
27367
27368
27369
27370
27371
27372
27373
27374
27375
27376
27377
27378
27379
27380
27381
27382
27383
27384
27385
27386
27387
27388
27389
27390
27391
27392
27393
27394
27395
27396
27397
27398
27399
27400
27401
27402
27403
27404
27405
27406
27407
27408
27409
27410
27411
27412
27413
27414
27415
27416
27417
27418
27419
27420
27421
27422
27423
27424
27425
27426
27427
27428
27429
27430
27431
27432
27433
27434
27435
27436
27437
27438
27439
27440
27441
27442
27443
27444
27445
27446
27447
27448
27449
27450
27451
27452
27453
27454
27455
27456
27457
27458
27459
27460
27461
27462
27463
27464
27465
27466
27467
27468
27469
27470
27471
27472
27473
27474
27475
27476
27477
27478
27479
27480
27481
27482
27483
27484
27485
27486
27487
27488
27489
27490
27491
27492
27493
27494
27495
27496
27497
27498
27499
27500
27501
27502
27503
27504
27505
27506
27507
27508
27509
27510
27511
27512
27513
27514
27515
27516
27517
27518
27519
27520
27521
27522
27523
27524
27525
27526
27527
27528
27529
27530
27531
27532
27533
27534
27535
27536
27537
27538
27539
27540
27541
27542
27543
27544
27545
27546
27547
27548
27549
27550
27551
27552
27553
27554
27555
27556
27557
27558
27559
27560
27561
27562
27563
27564
27565
27566
27567
27568
27569
27570
27571
27572
27573
27574
27575
27576
27577
27578
27579
27580
27581
27582
27583
27584
27585
27586
27587
27588
27589
27590
27591
27592
27593
27594
27595
27596
27597
27598
27599
27600
27601
27602
27603
27604
27605
27606
27607
27608
27609
27610
27611
27612
27613
27614
27615
27616
27617
27618
27619
27620
27621
27622
27623
27624
27625
27626
27627
27628
27629
27630
27631
27632
27633
27634
27635
27636
27637
27638
27639
27640
27641
27642
27643
27644
27645
27646
27647
27648
27649
27650
27651
27652
27653
27654
27655
27656
27657
27658
27659
27660
27661
27662
27663
27664
27665
27666
27667
27668
27669
27670
27671
27672
27673
27674
27675
27676
27677
27678
27679
27680
27681
27682
27683
27684
27685
27686
27687
27688
27689
27690
27691
27692
27693
27694
27695
27696
27697
27698
27699
27700
27701
27702
27703
27704
27705
27706
27707
27708
27709
27710
27711
27712
27713
27714
27715
27716
27717
27718
27719
27720
27721
27722
27723
27724
27725
27726
27727
27728
27729
27730
27731
27732
27733
27734
27735
27736
27737
27738
27739
27740
27741
27742
27743
27744
27745
27746
27747
27748
27749
27750
27751
27752
27753
27754
27755
27756
27757
27758
27759
27760
27761
27762
27763
27764
27765
27766
27767
27768
27769
27770
27771
27772
27773
27774
27775
27776
27777
27778
27779
27780
27781
27782
27783
27784
27785
27786
27787
27788
27789
27790
27791
27792
27793
27794
27795
27796
27797
27798
27799
27800
27801
27802
27803
27804
27805
27806
27807
27808
27809
27810
27811
27812
27813
27814
27815
27816
27817
27818
27819
27820
27821
27822
27823
27824
27825
27826
27827
27828
27829
27830
27831
27832
27833
27834
27835
27836
27837
27838
27839
27840
27841
27842
27843
27844
27845
27846
27847
27848
27849
27850
27851
27852
27853
27854
27855
27856
27857
27858
27859
27860
27861
27862
27863
27864
27865
27866
27867
27868
27869
27870
27871
27872
27873
27874
27875
27876
27877
27878
27879
27880
27881
27882
27883
27884
27885
27886
27887
27888
27889
27890
27891
27892
27893
27894
27895
27896
27897
27898
27899
27900
27901
27902
27903
27904
27905
27906
27907
27908
27909
27910
27911
27912
27913
27914
27915
27916
27917
27918
27919
27920
27921
27922
27923
27924
27925
27926
27927
27928
27929
27930
27931
27932
27933
27934
27935
27936
27937
27938
27939
27940
27941
27942
27943
27944
27945
27946
27947
27948
27949
27950
27951
27952
27953
27954
27955
27956
27957
27958
27959
27960
27961
27962
27963
27964
27965
27966
27967
27968
27969
27970
27971
27972
27973
27974
27975
27976
27977
27978
27979
27980
27981
27982
27983
27984
27985
27986
27987
27988
27989
27990
27991
27992
27993
27994
27995
27996
27997
27998
27999
28000
28001
28002
28003
28004
28005
28006
28007
28008
28009
28010
28011
28012
28013
28014
28015
28016
28017
28018
28019
28020
28021
28022
28023
28024
28025
28026
28027
28028
28029
28030
28031
28032
28033
28034
28035
28036
28037
28038
28039
28040
28041
28042
28043
28044
28045
28046
28047
28048
28049
28050
28051
28052
28053
28054
28055
28056
28057
28058
28059
28060
28061
28062
28063
28064
28065
28066
28067
28068
28069
28070
28071
28072
28073
28074
28075
28076
28077
28078
28079
28080
28081
28082
28083
28084
28085
28086
28087
28088
28089
28090
28091
28092
28093
28094
28095
28096
28097
28098
28099
28100
28101
28102
28103
28104
28105
28106
28107
28108
28109
28110
28111
28112
28113
28114
28115
28116
28117
28118
28119
28120
28121
28122
28123
28124
28125
28126
28127
28128
28129
28130
28131
28132
28133
28134
28135
28136
28137
28138
28139
28140
28141
28142
28143
28144
28145
28146
28147
28148
28149
28150
28151
28152
28153
28154
28155
28156
28157
28158
28159
28160
28161
28162
28163
28164
28165
28166
28167
28168
28169
28170
28171
28172
28173
28174
28175
28176
28177
28178
28179
28180
28181
28182
28183
28184
28185
28186
28187
28188
28189
28190
28191
28192
28193
28194
28195
28196
28197
28198
28199
28200
28201
28202
28203
28204
28205
28206
28207
28208
28209
28210
28211
28212
28213
28214
28215
28216
28217
28218
28219
28220
28221
28222
28223
28224
28225
28226
28227
28228
28229
28230
28231
28232
28233
28234
28235
28236
28237
28238
28239
28240
28241
28242
28243
28244
28245
28246
28247
28248
28249
28250
28251
28252
28253
28254
28255
28256
28257
28258
28259
28260
28261
28262
28263
28264
28265
28266
28267
28268
28269
28270
28271
28272
28273
28274
28275
28276
28277
28278
28279
28280
28281
28282
28283
28284
28285
28286
28287
28288
28289
28290
28291
28292
28293
28294
28295
28296
28297
28298
28299
28300
28301
28302
28303
28304
28305
28306
28307
28308
28309
28310
28311
28312
28313
28314
28315
28316
28317
28318
28319
28320
28321
28322
28323
28324
28325
28326
28327
28328
28329
28330
28331
28332
28333
28334
28335
28336
28337
28338
28339
28340
28341
28342
28343
28344
28345
28346
28347
28348
28349
28350
28351
28352
28353
28354
28355
28356
28357
28358
28359
28360
28361
28362
28363
28364
28365
28366
28367
28368
28369
28370
28371
28372
28373
28374
28375
28376
28377
28378
28379
28380
28381
28382
28383
28384
28385
28386
28387
28388
28389
28390
28391
28392
28393
28394
28395
28396
28397
28398
28399
28400
28401
28402
28403
28404
28405
28406
28407
28408
28409
28410
28411
28412
28413
28414
28415
28416
28417
28418
28419
28420
28421
28422
28423
28424
28425
28426
28427
28428
28429
28430
28431
28432
28433
28434
28435
28436
28437
28438
28439
28440
28441
28442
28443
28444
28445
28446
28447
28448
28449
28450
28451
28452
28453
28454
28455
28456
28457
28458
28459
28460
28461
28462
28463
28464
28465
28466
28467
28468
28469
28470
28471
28472
28473
28474
28475
28476
28477
28478
28479
28480
28481
28482
28483
28484
28485
28486
28487
28488
28489
28490
28491
28492
28493
28494
28495
28496
28497
28498
28499
28500
28501
28502
28503
28504
28505
28506
28507
28508
28509
28510
28511
28512
28513
28514
28515
28516
28517
28518
28519
28520
28521
28522
28523
28524
28525
28526
28527
28528
28529
28530
28531
28532
28533
28534
28535
28536
28537
28538
28539
28540
28541
28542
28543
28544
28545
28546
28547
28548
28549
28550
28551
28552
28553
28554
28555
28556
28557
28558
28559
28560
28561
28562
28563
28564
28565
28566
28567
28568
28569
28570
28571
28572
28573
28574
28575
28576
28577
28578
28579
28580
28581
28582
28583
28584
28585
28586
28587
28588
28589
28590
28591
28592
28593
28594
28595
28596
28597
28598
28599
28600
28601
28602
28603
28604
28605
28606
28607
28608
28609
28610
28611
28612
28613
28614
28615
28616
28617
28618
28619
28620
28621
28622
28623
28624
28625
28626
28627
28628
28629
28630
28631
28632
28633
28634
28635
28636
28637
28638
28639
28640
28641
28642
28643
28644
28645
28646
28647
28648
28649
28650
28651
28652
28653
28654
28655
28656
28657
28658
28659
28660
28661
28662
28663
28664
28665
28666
28667
28668
28669
28670
28671
28672
28673
28674
28675
28676
28677
28678
28679
28680
28681
28682
28683
28684
28685
28686
28687
28688
28689
28690
28691
28692
28693
28694
28695
28696
28697
28698
28699
28700
28701
28702
28703
28704
28705
28706
28707
28708
28709
28710
28711
28712
28713
28714
28715
28716
28717
28718
28719
28720
28721
28722
28723
28724
28725
28726
28727
28728
28729
28730
28731
28732
28733
28734
28735
28736
28737
28738
28739
28740
28741
28742
28743
28744
28745
28746
28747
28748
28749
28750
28751
28752
28753
28754
28755
28756
28757
28758
28759
28760
28761
28762
28763
28764
28765
28766
28767
28768
28769
28770
28771
28772
28773
28774
28775
28776
28777
28778
28779
28780
28781
28782
28783
28784
28785
28786
28787
28788
28789
28790
28791
28792
28793
28794
28795
28796
28797
28798
28799
28800
28801
28802
28803
28804
28805
28806
28807
28808
28809
28810
28811
28812
28813
28814
28815
28816
28817
28818
28819
28820
28821
28822
28823
28824
28825
28826
28827
28828
28829
28830
28831
28832
28833
28834
28835
28836
28837
28838
28839
28840
28841
28842
28843
28844
28845
28846
28847
28848
28849
28850
28851
28852
28853
28854
28855
28856
28857
28858
28859
28860
28861
28862
28863
28864
28865
28866
28867
28868
28869
28870
28871
28872
28873
28874
28875
28876
28877
28878
28879
28880
28881
28882
28883
28884
28885
28886
28887
28888
28889
28890
28891
28892
28893
28894
28895
28896
28897
28898
28899
28900
28901
28902
28903
28904
28905
28906
28907
28908
28909
28910
28911
28912
28913
28914
28915
28916
28917
28918
28919
28920
28921
28922
28923
28924
28925
28926
28927
28928
28929
28930
28931
28932
28933
28934
28935
28936
28937
28938
28939
28940
28941
28942
28943
28944
28945
28946
28947
28948
28949
28950
28951
28952
28953
28954
28955
28956
28957
28958
28959
28960
28961
28962
28963
28964
28965
28966
28967
28968
28969
28970
28971
28972
28973
28974
28975
28976
28977
28978
28979
28980
28981
28982
28983
28984
28985
28986
28987
28988
28989
28990
28991
28992
28993
28994
28995
28996
28997
28998
28999
29000
29001
29002
29003
29004
29005
29006
29007
29008
29009
29010
29011
29012
29013
29014
29015
29016
29017
29018
29019
29020
29021
29022
29023
29024
29025
29026
29027
29028
29029
29030
29031
29032
29033
29034
29035
29036
29037
29038
29039
29040
29041
29042
29043
29044
29045
29046
29047
29048
29049
29050
29051
29052
29053
29054
29055
29056
29057
29058
29059
29060
29061
29062
29063
29064
29065
29066
29067
29068
29069
29070
29071
29072
29073
29074
29075
29076
29077
29078
29079
29080
29081
29082
29083
29084
29085
29086
29087
29088
29089
29090
29091
29092
29093
29094
29095
29096
29097
29098
29099
29100
29101
29102
29103
29104
29105
29106
29107
29108
29109
29110
29111
29112
29113
29114
29115
29116
29117
29118
29119
29120
29121
29122
29123
29124
29125
29126
29127
29128
29129
29130
29131
29132
29133
29134
29135
29136
29137
29138
29139
29140
29141
29142
29143
29144
29145
29146
29147
29148
29149
29150
29151
29152
29153
29154
29155
29156
29157
29158
29159
29160
29161
29162
29163
29164
29165
29166
29167
29168
29169
29170
29171
29172
29173
29174
29175
29176
29177
29178
29179
29180
29181
29182
29183
29184
29185
29186
29187
29188
29189
29190
29191
29192
29193
29194
29195
29196
29197
29198
29199
29200
29201
29202
29203
29204
29205
29206
29207
29208
29209
29210
29211
29212
29213
29214
29215
29216
29217
29218
29219
29220
29221
29222
29223
29224
29225
29226
29227
29228
29229
29230
29231
29232
29233
29234
29235
29236
29237
29238
29239
29240
29241
29242
29243
29244
29245
29246
29247
29248
29249
29250
29251
29252
29253
29254
29255
29256
29257
29258
29259
29260
29261
29262
29263
29264
29265
29266
29267
29268
29269
29270
29271
29272
29273
29274
29275
29276
29277
29278
29279
29280
29281
29282
29283
29284
29285
29286
29287
29288
29289
29290
29291
29292
29293
29294
29295
29296
29297
29298
29299
29300
29301
29302
29303
29304
29305
29306
29307
29308
29309
29310
29311
29312
29313
29314
29315
29316
29317
29318
29319
29320
29321
29322
29323
29324
29325
29326
29327
29328
29329
29330
29331
29332
29333
29334
29335
29336
29337
29338
29339
29340
29341
29342
29343
29344
29345
29346
29347
29348
29349
29350
29351
29352
29353
29354
29355
29356
29357
29358
29359
29360
29361
29362
29363
29364
29365
29366
29367
29368
29369
29370
29371
29372
29373
29374
29375
29376
29377
29378
29379
29380
29381
29382
29383
29384
29385
29386
29387
29388
29389
29390
29391
29392
29393
29394
29395
29396
29397
29398
29399
29400
29401
29402
29403
29404
29405
29406
29407
29408
29409
29410
29411
29412
29413
29414
29415
29416
29417
29418
29419
29420
29421
29422
29423
29424
29425
29426
29427
29428
29429
29430
29431
29432
29433
29434
29435
29436
29437
29438
29439
29440
29441
29442
29443
29444
29445
29446
29447
29448
29449
29450
29451
29452
29453
29454
29455
29456
29457
29458
29459
29460
29461
29462
29463
29464
29465
29466
29467
29468
29469
29470
29471
29472
29473
29474
29475
29476
29477
29478
29479
29480
29481
29482
29483
29484
29485
29486
29487
29488
29489
29490
29491
29492
29493
29494
29495
29496
29497
29498
29499
29500
29501
29502
29503
29504
29505
29506
29507
29508
29509
29510
29511
29512
29513
29514
29515
29516
29517
29518
29519
29520
29521
29522
29523
29524
29525
29526
29527
29528
29529
29530
29531
29532
29533
29534
29535
29536
29537
29538
29539
29540
29541
29542
29543
29544
29545
29546
29547
29548
29549
29550
29551
29552
29553
29554
29555
29556
29557
29558
29559
29560
29561
29562
29563
29564
29565
29566
29567
29568
29569
29570
29571
29572
29573
29574
29575
29576
29577
29578
29579
29580
29581
29582
29583
29584
29585
29586
29587
29588
29589
29590
29591
29592
29593
29594
29595
29596
29597
29598
29599
29600
29601
29602
29603
29604
29605
29606
29607
29608
29609
29610
29611
29612
29613
29614
29615
29616
29617
29618
29619
29620
29621
29622
29623
29624
29625
29626
29627
29628
29629
29630
29631
29632
29633
29634
29635
29636
29637
29638
29639
29640
29641
29642
29643
29644
29645
29646
29647
29648
29649
29650
29651
29652
29653
29654
29655
29656
29657
29658
29659
29660
29661
29662
29663
29664
29665
29666
29667
29668
29669
29670
29671
29672
29673
29674
29675
29676
29677
29678
29679
29680
29681
29682
29683
29684
29685
29686
29687
29688
29689
29690
29691
29692
29693
29694
29695
29696
29697
29698
29699
29700
29701
29702
29703
29704
29705
29706
29707
29708
29709
29710
29711
29712
29713
29714
29715
29716
29717
29718
29719
29720
29721
29722
29723
29724
29725
29726
29727
29728
29729
29730
29731
29732
29733
29734
29735
29736
29737
29738
29739
29740
29741
29742
29743
29744
29745
29746
29747
29748
29749
29750
29751
29752
29753
29754
29755
29756
29757
29758
29759
29760
29761
29762
29763
29764
29765
29766
29767
29768
29769
29770
29771
29772
29773
29774
29775
29776
29777
29778
29779
29780
29781
29782
29783
29784
29785
29786
29787
29788
29789
29790
29791
29792
29793
29794
29795
29796
29797
29798
29799
29800
29801
29802
29803
29804
29805
29806
29807
29808
29809
29810
29811
29812
29813
29814
29815
29816
29817
29818
29819
29820
29821
29822
29823
29824
29825
29826
29827
29828
29829
29830
29831
29832
29833
29834
29835
29836
29837
29838
29839
29840
29841
29842
29843
29844
29845
29846
29847
29848
29849
29850
29851
29852
29853
29854
29855
29856
29857
29858
29859
29860
29861
29862
29863
29864
29865
29866
29867
29868
29869
29870
29871
29872
29873
29874
29875
29876
29877
29878
29879
29880
29881
29882
29883
29884
29885
29886
29887
29888
29889
29890
29891
29892
29893
29894
29895
29896
29897
29898
29899
29900
29901
29902
29903
29904
29905
29906
29907
29908
29909
29910
29911
29912
29913
29914
29915
29916
29917
29918
29919
29920
29921
29922
29923
29924
29925
29926
29927
29928
29929
29930
29931
29932
29933
29934
29935
29936
29937
29938
29939
29940
29941
29942
29943
29944
29945
29946
29947
29948
29949
29950
29951
29952
29953
29954
29955
29956
29957
29958
29959
29960
29961
29962
29963
29964
29965
29966
29967
29968
29969
29970
29971
29972
29973
29974
29975
29976
29977
29978
29979
29980
29981
29982
29983
29984
29985
29986
29987
29988
29989
29990
29991
29992
29993
29994
29995
29996
29997
29998
29999
30000
30001
30002
30003
30004
30005
30006
30007
30008
30009
30010
30011
30012
30013
30014
30015
30016
30017
30018
30019
30020
30021
30022
30023
30024
30025
30026
30027
30028
30029
30030
30031
30032
30033
30034
30035
30036
30037
30038
30039
30040
30041
30042
30043
30044
30045
30046
30047
30048
30049
30050
30051
30052
30053
30054
30055
30056
30057
30058
30059
30060
30061
30062
30063
30064
30065
30066
30067
30068
30069
30070
30071
30072
30073
30074
30075
30076
30077
30078
30079
30080
30081
30082
30083
30084
30085
30086
30087
30088
30089
30090
30091
30092
30093
30094
30095
30096
30097
30098
30099
30100
30101
30102
30103
30104
30105
30106
30107
30108
30109
30110
30111
30112
30113
30114
30115
30116
30117
30118
30119
30120
30121
30122
30123
30124
30125
30126
30127
30128
30129
30130
30131
30132
30133
30134
30135
30136
30137
30138
30139
30140
30141
30142
30143
30144
30145
30146
30147
30148
30149
30150
30151
30152
30153
30154
30155
30156
30157
30158
30159
30160
30161
30162
30163
30164
30165
30166
30167
30168
30169
30170
30171
30172
30173
30174
30175
30176
30177
30178
30179
30180
30181
30182
30183
30184
30185
30186
30187
30188
30189
30190
30191
30192
30193
30194
30195
30196
30197
30198
30199
30200
30201
30202
30203
30204
30205
30206
30207
30208
30209
30210
30211
30212
30213
30214
30215
30216
30217
30218
30219
30220
30221
30222
30223
30224
30225
30226
30227
30228
30229
30230
30231
30232
30233
30234
30235
30236
30237
30238
30239
30240
30241
30242
30243
30244
30245
30246
30247
30248
30249
30250
30251
30252
30253
30254
30255
30256
30257
30258
30259
30260
30261
30262
30263
30264
30265
30266
30267
30268
30269
30270
30271
30272
30273
30274
30275
30276
30277
30278
30279
30280
30281
30282
30283
30284
30285
30286
30287
30288
30289
30290
30291
30292
30293
30294
30295
30296
30297
30298
30299
30300
30301
30302
30303
30304
30305
30306
30307
30308
30309
30310
30311
30312
30313
30314
30315
30316
30317
30318
30319
30320
30321
30322
30323
30324
30325
30326
30327
30328
30329
30330
30331
30332
30333
30334
30335
30336
30337
30338
30339
30340
30341
30342
30343
30344
30345
30346
30347
30348
30349
30350
30351
30352
30353
30354
30355
30356
30357
30358
30359
30360
30361
30362
30363
30364
30365
30366
30367
30368
30369
30370
30371
30372
30373
30374
30375
30376
30377
30378
30379
30380
30381
30382
30383
30384
30385
30386
30387
30388
30389
30390
30391
30392
30393
30394
30395
30396
30397
30398
30399
30400
30401
30402
30403
30404
30405
30406
30407
30408
30409
30410
30411
30412
30413
30414
30415
30416
30417
30418
30419
30420
30421
30422
30423
30424
30425
30426
30427
30428
30429
30430
30431
30432
30433
30434
30435
30436
30437
30438
30439
30440
30441
30442
30443
30444
30445
30446
30447
30448
30449
30450
30451
30452
30453
30454
30455
30456
30457
30458
30459
30460
30461
30462
30463
30464
30465
30466
30467
30468
30469
30470
30471
30472
30473
30474
30475
30476
30477
30478
30479
30480
30481
30482
30483
30484
30485
30486
30487
30488
30489
30490
30491
30492
30493
30494
30495
30496
30497
30498
30499
30500
30501
30502
30503
30504
30505
30506
30507
30508
30509
30510
30511
30512
30513
30514
30515
30516
30517
30518
30519
30520
30521
30522
30523
30524
30525
30526
30527
30528
30529
30530
30531
30532
30533
30534
30535
30536
30537
30538
30539
30540
30541
30542
30543
30544
30545
30546
30547
30548
30549
30550
30551
30552
30553
30554
30555
30556
30557
30558
30559
30560
30561
30562
30563
30564
30565
30566
30567
30568
30569
30570
30571
30572
30573
30574
30575
30576
30577
30578
30579
30580
30581
30582
30583
30584
30585
30586
30587
30588
30589
30590
30591
30592
30593
30594
30595
30596
30597
30598
30599
30600
30601
30602
30603
30604
30605
30606
30607
30608
30609
30610
30611
30612
30613
30614
30615
30616
30617
30618
30619
30620
30621
30622
30623
30624
30625
30626
30627
30628
30629
30630
30631
30632
30633
30634
30635
30636
30637
30638
30639
30640
30641
30642
30643
30644
30645
30646
30647
30648
30649
30650
30651
30652
30653
30654
30655
30656
30657
30658
30659
30660
30661
30662
30663
30664
30665
30666
30667
30668
30669
30670
30671
30672
30673
30674
30675
30676
30677
30678
30679
30680
30681
30682
30683
30684
30685
30686
30687
30688
30689
30690
30691
30692
30693
30694
30695
30696
30697
30698
30699
30700
30701
30702
30703
30704
30705
30706
30707
30708
30709
30710
30711
30712
30713
30714
30715
30716
30717
30718
30719
30720
30721
30722
30723
30724
30725
30726
30727
30728
30729
30730
30731
30732
30733
30734
30735
30736
30737
30738
30739
30740
30741
30742
30743
30744
30745
30746
30747
30748
30749
30750
30751
30752
30753
30754
30755
30756
30757
30758
30759
30760
30761
30762
30763
30764
30765
30766
30767
30768
30769
30770
30771
30772
30773
30774
30775
30776
30777
30778
30779
30780
30781
30782
30783
30784
30785
30786
30787
30788
30789
30790
30791
30792
30793
30794
30795
30796
30797
30798
30799
30800
30801
30802
30803
30804
30805
30806
30807
30808
30809
30810
30811
30812
30813
30814
30815
30816
30817
30818
30819
30820
30821
30822
30823
30824
30825
30826
30827
30828
30829
30830
30831
30832
30833
30834
30835
30836
30837
30838
30839
30840
30841
30842
30843
30844
30845
30846
30847
30848
30849
30850
30851
30852
30853
30854
30855
30856
30857
30858
30859
30860
30861
30862
30863
30864
30865
30866
30867
30868
30869
30870
30871
30872
30873
30874
30875
30876
30877
30878
30879
30880
30881
30882
30883
30884
30885
30886
30887
30888
30889
30890
30891
30892
30893
30894
30895
30896
30897
30898
30899
30900
30901
30902
30903
30904
30905
30906
30907
30908
30909
30910
30911
30912
30913
30914
30915
30916
30917
30918
30919
30920
30921
30922
30923
30924
30925
30926
30927
30928
30929
30930
30931
30932
30933
30934
30935
30936
30937
30938
30939
30940
30941
30942
30943
30944
30945
30946
30947
30948
30949
30950
30951
30952
30953
30954
30955
30956
30957
30958
30959
30960
30961
30962
30963
30964
30965
30966
30967
30968
30969
30970
30971
30972
30973
30974
30975
30976
30977
30978
30979
30980
30981
30982
30983
30984
30985
30986
30987
30988
30989
30990
30991
30992
30993
30994
30995
30996
30997
30998
30999
31000
31001
31002
31003
31004
31005
31006
31007
31008
31009
31010
31011
31012
31013
31014
31015
31016
31017
31018
31019
31020
31021
31022
31023
31024
31025
31026
31027
31028
31029
31030
31031
31032
31033
31034
31035
31036
31037
31038
31039
31040
31041
31042
31043
31044
31045
31046
31047
31048
31049
31050
31051
31052
31053
31054
31055
31056
31057
31058
31059
31060
31061
31062
31063
31064
31065
31066
31067
31068
31069
31070
31071
31072
31073
31074
31075
31076
31077
31078
31079
31080
31081
31082
31083
31084
31085
31086
31087
31088
31089
31090
31091
31092
31093
31094
31095
31096
31097
31098
31099
31100
31101
31102
31103
31104
31105
31106
31107
31108
31109
31110
31111
31112
31113
31114
31115
31116
31117
31118
31119
31120
31121
31122
31123
31124
31125
31126
31127
31128
31129
31130
31131
31132
31133
31134
31135
31136
31137
31138
31139
31140
31141
31142
31143
31144
31145
31146
31147
31148
31149
31150
31151
31152
31153
31154
31155
31156
31157
31158
31159
31160
31161
31162
31163
31164
31165
31166
31167
31168
31169
31170
31171
31172
31173
31174
31175
31176
31177
31178
31179
31180
31181
31182
31183
31184
31185
31186
31187
31188
31189
31190
31191
31192
31193
31194
31195
31196
31197
31198
31199
31200
31201
31202
31203
31204
31205
31206
31207
31208
31209
31210
31211
31212
31213
31214
31215
31216
31217
31218
31219
31220
31221
31222
31223
31224
31225
31226
31227
31228
31229
31230
31231
31232
31233
31234
31235
31236
31237
31238
31239
31240
31241
31242
31243
31244
31245
31246
31247
31248
31249
31250
31251
31252
31253
31254
31255
31256
31257
31258
31259
31260
31261
31262
31263
31264
31265
31266
31267
31268
31269
31270
31271
31272
31273
31274
31275
31276
31277
31278
31279
31280
31281
31282
31283
31284
31285
31286
31287
31288
31289
31290
31291
31292
31293
31294
31295
31296
31297
31298
31299
31300
31301
31302
31303
31304
31305
31306
31307
31308
31309
31310
31311
31312
31313
31314
31315
31316
31317
31318
31319
31320
31321
31322
31323
31324
31325
31326
31327
31328
31329
31330
31331
31332
31333
31334
31335
31336
31337
31338
31339
31340
31341
31342
31343
31344
31345
31346
31347
31348
31349
31350
31351
31352
31353
31354
31355
31356
31357
31358
31359
31360
31361
31362
31363
31364
31365
31366
31367
31368
31369
31370
31371
31372
31373
31374
31375
31376
31377
31378
31379
31380
31381
31382
31383
31384
31385
31386
31387
31388
31389
31390
31391
31392
31393
31394
31395
31396
31397
31398
31399
31400
31401
31402
31403
31404
31405
31406
31407
31408
31409
31410
31411
31412
31413
31414
31415
31416
31417
31418
31419
31420
31421
31422
31423
31424
31425
31426
31427
31428
31429
31430
31431
31432
31433
31434
31435
31436
31437
31438
31439
31440
31441
31442
31443
31444
31445
31446
31447
31448
31449
31450
31451
31452
31453
31454
31455
31456
31457
31458
31459
31460
31461
31462
31463
31464
31465
31466
31467
31468
31469
31470
31471
31472
31473
31474
31475
31476
31477
31478
31479
31480
31481
31482
31483
31484
31485
31486
31487
31488
31489
31490
31491
31492
31493
31494
31495
31496
31497
31498
31499
31500
31501
31502
31503
31504
31505
31506
31507
31508
31509
31510
31511
31512
31513
31514
31515
31516
31517
31518
31519
31520
31521
31522
31523
31524
31525
31526
31527
31528
31529
31530
31531
31532
31533
31534
31535
31536
31537
31538
31539
31540
31541
31542
31543
31544
31545
31546
31547
31548
31549
31550
31551
31552
31553
31554
31555
31556
31557
31558
31559
31560
31561
31562
31563
31564
31565
31566
31567
31568
31569
31570
31571
31572
31573
31574
31575
31576
31577
31578
31579
31580
31581
31582
31583
31584
31585
31586
31587
31588
31589
31590
31591
31592
31593
31594
31595
31596
31597
31598
31599
31600
31601
31602
31603
31604
31605
31606
31607
31608
31609
31610
31611
31612
31613
31614
31615
31616
31617
31618
31619
31620
31621
31622
31623
31624
31625
31626
31627
31628
31629
31630
31631
31632
31633
31634
31635
31636
31637
31638
31639
31640
31641
31642
31643
31644
31645
31646
31647
31648
31649
31650
31651
31652
31653
31654
31655
31656
31657
31658
31659
31660
31661
31662
31663
31664
31665
31666
31667
31668
31669
31670
31671
31672
31673
31674
31675
31676
31677
31678
31679
31680
31681
31682
31683
31684
31685
31686
31687
31688
31689
31690
31691
31692
31693
31694
31695
31696
31697
31698
31699
31700
31701
31702
31703
31704
31705
31706
31707
31708
31709
31710
31711
31712
31713
31714
31715
31716
31717
31718
31719
31720
31721
31722
31723
31724
31725
31726
31727
31728
31729
31730
31731
31732
31733
31734
31735
31736
31737
31738
31739
31740
31741
31742
31743
31744
31745
31746
31747
31748
31749
31750
31751
31752
31753
31754
31755
31756
31757
31758
31759
31760
31761
31762
31763
31764
31765
31766
31767
31768
31769
31770
31771
31772
31773
31774
31775
31776
31777
31778
31779
31780
31781
31782
31783
31784
31785
31786
31787
31788
31789
31790
31791
31792
31793
31794
31795
31796
31797
31798
31799
31800
31801
31802
31803
31804
31805
31806
31807
31808
31809
31810
31811
31812
31813
31814
31815
31816
31817
31818
31819
31820
31821
31822
31823
31824
31825
31826
31827
31828
31829
31830
31831
31832
31833
31834
31835
31836
31837
31838
31839
31840
31841
31842
31843
31844
31845
31846
31847
31848
31849
31850
31851
31852
31853
31854
31855
31856
31857
31858
31859
31860
31861
31862
31863
31864
31865
31866
31867
31868
31869
31870
31871
31872
31873
31874
31875
31876
31877
31878
31879
31880
31881
31882
31883
31884
31885
31886
31887
31888
31889
31890
31891
31892
31893
31894
31895
31896
31897
31898
31899
31900
31901
31902
31903
31904
31905
31906
31907
31908
31909
31910
31911
31912
31913
31914
31915
31916
31917
31918
31919
31920
31921
31922
31923
31924
31925
31926
31927
31928
31929
31930
31931
31932
31933
31934
31935
31936
31937
31938
31939
31940
31941
31942
31943
31944
31945
31946
31947
31948
31949
31950
31951
31952
31953
31954
31955
31956
31957
31958
31959
31960
31961
31962
31963
31964
31965
31966
31967
31968
31969
31970
31971
31972
31973
31974
31975
31976
31977
31978
31979
31980
31981
31982
31983
31984
31985
31986
31987
31988
31989
31990
31991
31992
31993
31994
31995
31996
31997
31998
31999
32000
32001
32002
32003
32004
32005
32006
32007
32008
32009
32010
32011
32012
32013
32014
32015
32016
32017
32018
32019
32020
32021
32022
32023
32024
32025
32026
32027
32028
32029
32030
32031
32032
32033
32034
32035
32036
32037
32038
32039
32040
32041
32042
32043
32044
32045
32046
32047
32048
32049
32050
32051
32052
32053
32054
32055
32056
32057
32058
32059
32060
32061
32062
32063
32064
32065
32066
32067
32068
32069
32070
32071
32072
32073
32074
32075
32076
32077
32078
32079
32080
32081
32082
32083
32084
32085
32086
32087
32088
32089
32090
32091
32092
32093
32094
32095
32096
32097
32098
32099
32100
32101
32102
32103
32104
32105
32106
32107
32108
32109
32110
32111
32112
32113
32114
32115
32116
32117
32118
32119
32120
32121
32122
32123
32124
32125
32126
32127
32128
32129
32130
32131
32132
32133
32134
32135
32136
32137
32138
32139
32140
32141
32142
32143
32144
32145
32146
32147
32148
32149
32150
32151
32152
32153
32154
32155
32156
32157
32158
32159
32160
32161
32162
32163
32164
32165
32166
32167
32168
32169
32170
32171
32172
32173
32174
32175
32176
32177
32178
32179
32180
32181
32182
32183
32184
32185
32186
32187
32188
32189
32190
32191
32192
32193
32194
32195
32196
32197
32198
32199
32200
32201
32202
32203
32204
32205
32206
32207
32208
32209
32210
32211
32212
32213
32214
32215
32216
32217
32218
32219
32220
32221
32222
32223
32224
32225
32226
32227
32228
32229
32230
32231
32232
32233
32234
32235
32236
32237
32238
32239
32240
32241
32242
32243
32244
32245
32246
32247
32248
32249
32250
32251
32252
32253
32254
32255
32256
32257
32258
32259
32260
32261
32262
32263
32264
32265
32266
32267
32268
32269
32270
32271
32272
32273
32274
32275
32276
32277
32278
32279
32280
32281
32282
32283
32284
32285
32286
32287
32288
32289
32290
32291
32292
32293
32294
32295
32296
32297
32298
32299
32300
32301
32302
32303
32304
32305
32306
32307
32308
32309
32310
32311
32312
32313
32314
32315
32316
32317
32318
32319
32320
32321
32322
32323
32324
32325
32326
32327
32328
32329
32330
32331
32332
32333
32334
32335
32336
32337
32338
32339
32340
32341
32342
32343
32344
32345
32346
32347
32348
32349
32350
32351
32352
32353
32354
32355
32356
32357
32358
32359
32360
32361
32362
32363
32364
32365
32366
32367
32368
32369
32370
32371
32372
32373
32374
32375
32376
32377
32378
32379
32380
32381
32382
32383
32384
32385
32386
32387
32388
32389
32390
32391
32392
32393
32394
32395
32396
32397
32398
32399
32400
32401
32402
32403
32404
32405
32406
32407
32408
32409
32410
32411
32412
32413
32414
32415
32416
32417
32418
32419
32420
32421
32422
32423
32424
32425
32426
32427
32428
32429
32430
32431
32432
32433
32434
32435
32436
32437
32438
32439
32440
32441
32442
32443
32444
32445
32446
32447
32448
32449
32450
32451
32452
32453
32454
32455
32456
32457
32458
32459
32460
32461
32462
32463
32464
32465
32466
32467
32468
32469
32470
32471
32472
32473
32474
32475
32476
32477
32478
32479
32480
32481
32482
32483
32484
32485
32486
32487
32488
32489
32490
32491
32492
32493
32494
32495
32496
32497
32498
32499
32500
32501
32502
32503
32504
32505
32506
32507
32508
32509
32510
32511
32512
32513
32514
32515
32516
32517
32518
32519
32520
32521
32522
32523
32524
32525
32526
32527
32528
32529
32530
32531
32532
32533
32534
32535
32536
32537
32538
32539
32540
32541
32542
32543
32544
32545
32546
32547
32548
32549
32550
32551
32552
32553
32554
32555
32556
32557
32558
32559
32560
32561
32562
32563
32564
32565
32566
32567
32568
32569
32570
32571
32572
32573
32574
32575
32576
32577
32578
32579
32580
32581
32582
32583
32584
32585
32586
32587
32588
32589
32590
32591
32592
32593
32594
32595
32596
32597
32598
32599
32600
32601
32602
32603
32604
32605
32606
32607
32608
32609
32610
32611
32612
32613
32614
32615
32616
32617
32618
32619
32620
32621
32622
32623
32624
32625
32626
32627
32628
32629
32630
32631
32632
32633
32634
32635
32636
32637
32638
32639
32640
32641
32642
32643
32644
32645
32646
32647
32648
32649
32650
32651
32652
32653
32654
32655
32656
32657
32658
32659
32660
32661
32662
32663
32664
32665
32666
32667
32668
32669
32670
32671
32672
32673
32674
32675
32676
32677
32678
32679
32680
32681
32682
32683
32684
32685
32686
32687
32688
32689
32690
32691
32692
32693
32694
32695
32696
32697
32698
32699
32700
32701
32702
32703
32704
32705
32706
32707
32708
32709
32710
32711
32712
32713
32714
32715
32716
32717
32718
32719
32720
32721
32722
32723
32724
32725
32726
32727
32728
32729
32730
32731
32732
32733
32734
32735
32736
32737
32738
32739
32740
32741
32742
32743
32744
32745
32746
32747
32748
32749
32750
32751
32752
32753
32754
32755
32756
32757
32758
32759
32760
32761
32762
32763
32764
32765
32766
32767
32768
32769
32770
32771
32772
32773
32774
32775
32776
32777
32778
32779
32780
32781
32782
32783
32784
32785
32786
32787
32788
32789
32790
32791
32792
32793
32794
32795
32796
32797
32798
32799
32800
32801
32802
32803
32804
32805
32806
32807
32808
32809
32810
32811
32812
32813
32814
32815
32816
32817
32818
32819
32820
32821
32822
32823
32824
32825
32826
32827
32828
32829
32830
32831
32832
32833
32834
32835
32836
32837
32838
32839
32840
32841
32842
32843
32844
32845
32846
32847
32848
32849
32850
32851
32852
32853
32854
32855
32856
32857
32858
32859
32860
32861
32862
32863
32864
32865
32866
32867
32868
32869
32870
32871
32872
32873
32874
32875
32876
32877
32878
32879
32880
32881
32882
32883
32884
32885
32886
32887
32888
32889
32890
32891
32892
32893
32894
32895
32896
32897
32898
32899
32900
32901
32902
32903
32904
32905
32906
32907
32908
32909
32910
32911
32912
32913
32914
32915
32916
32917
32918
32919
32920
32921
32922
32923
32924
32925
32926
32927
32928
32929
32930
32931
32932
32933
32934
32935
32936
32937
32938
32939
32940
32941
32942
32943
32944
32945
32946
32947
32948
32949
32950
32951
32952
32953
32954
32955
32956
32957
32958
32959
32960
32961
32962
32963
32964
32965
32966
32967
32968
32969
32970
32971
32972
32973
32974
32975
32976
32977
32978
32979
32980
32981
32982
32983
32984
32985
32986
32987
32988
32989
32990
32991
32992
32993
32994
32995
32996
32997
32998
32999
33000
33001
33002
33003
33004
33005
33006
33007
33008
33009
33010
33011
33012
33013
33014
33015
33016
33017
33018
33019
33020
33021
33022
33023
33024
33025
33026
33027
33028
33029
33030
33031
33032
33033
33034
33035
33036
33037
33038
33039
33040
33041
33042
33043
33044
33045
33046
33047
33048
33049
33050
33051
33052
33053
33054
33055
33056
33057
33058
33059
33060
33061
33062
33063
33064
33065
33066
33067
33068
33069
33070
33071
33072
33073
33074
33075
33076
33077
33078
33079
33080
33081
33082
33083
33084
33085
33086
33087
33088
33089
33090
33091
33092
33093
33094
33095
33096
33097
33098
33099
33100
33101
33102
33103
33104
33105
33106
33107
33108
33109
33110
33111
33112
33113
33114
33115
33116
33117
33118
33119
33120
33121
33122
33123
33124
33125
33126
33127
33128
33129
33130
33131
33132
33133
33134
33135
33136
33137
33138
33139
33140
33141
33142
33143
33144
33145
33146
33147
33148
33149
33150
33151
33152
33153
33154
33155
33156
33157
33158
33159
33160
33161
33162
33163
33164
33165
33166
33167
33168
33169
33170
33171
33172
33173
33174
33175
33176
33177
33178
33179
33180
33181
33182
33183
33184
33185
33186
33187
33188
33189
33190
33191
33192
33193
33194
33195
33196
33197
33198
33199
33200
33201
33202
33203
33204
33205
33206
33207
33208
33209
33210
33211
33212
33213
33214
33215
33216
33217
33218
33219
33220
33221
33222
33223
33224
33225
33226
33227
33228
33229
33230
33231
33232
33233
33234
33235
33236
33237
33238
33239
33240
33241
33242
33243
33244
33245
33246
33247
33248
33249
33250
33251
33252
33253
33254
33255
33256
33257
33258
33259
33260
33261
33262
33263
33264
33265
33266
33267
33268
33269
33270
33271
33272
33273
33274
33275
33276
33277
33278
33279
33280
33281
33282
33283
33284
33285
33286
33287
33288
33289
33290
33291
33292
33293
33294
33295
33296
33297
33298
33299
33300
33301
33302
33303
33304
33305
33306
33307
33308
33309
33310
33311
33312
33313
33314
33315
33316
33317
33318
33319
33320
33321
33322
33323
33324
33325
33326
33327
33328
33329
33330
33331
33332
33333
33334
33335
33336
33337
33338
33339
33340
33341
33342
33343
33344
33345
33346
33347
33348
33349
33350
33351
33352
33353
33354
33355
33356
33357
33358
33359
33360
33361
33362
33363
33364
33365
33366
33367
33368
33369
33370
33371
33372
33373
33374
33375
33376
33377
33378
33379
33380
33381
33382
33383
33384
33385
33386
33387
33388
33389
33390
33391
33392
33393
33394
33395
33396
33397
33398
33399
33400
33401
33402
33403
33404
33405
33406
33407
33408
33409
33410
33411
33412
33413
33414
33415
33416
33417
33418
33419
33420
33421
33422
33423
33424
33425
33426
33427
33428
33429
33430
33431
33432
33433
33434
33435
33436
33437
33438
33439
33440
33441
33442
33443
33444
33445
33446
33447
33448
33449
33450
33451
33452
33453
33454
33455
33456
33457
33458
33459
33460
33461
33462
33463
33464
33465
33466
33467
33468
33469
33470
33471
33472
33473
33474
33475
33476
33477
33478
33479
33480
33481
33482
33483
33484
33485
33486
33487
33488
33489
33490
33491
33492
33493
33494
33495
33496
33497
33498
33499
33500
33501
33502
33503
33504
33505
33506
33507
33508
33509
33510
33511
33512
33513
33514
33515
33516
33517
33518
33519
33520
33521
33522
33523
33524
33525
33526
33527
33528
33529
33530
33531
33532
33533
33534
33535
33536
33537
33538
33539
33540
33541
33542
33543
33544
33545
33546
33547
33548
33549
33550
33551
33552
33553
33554
33555
33556
33557
33558
33559
33560
33561
33562
33563
33564
33565
33566
33567
33568
33569
33570
33571
33572
33573
33574
33575
33576
33577
33578
33579
33580
33581
33582
33583
33584
33585
33586
33587
33588
33589
33590
33591
33592
33593
33594
33595
33596
33597
33598
33599
33600
33601
33602
33603
33604
33605
33606
33607
33608
33609
33610
33611
33612
33613
33614
33615
33616
33617
33618
33619
33620
33621
33622
33623
33624
33625
33626
33627
33628
33629
33630
33631
33632
33633
33634
33635
33636
33637
33638
33639
33640
33641
33642
33643
33644
33645
33646
33647
33648
33649
33650
33651
33652
33653
33654
33655
33656
33657
33658
33659
33660
33661
33662
33663
33664
33665
33666
33667
33668
33669
33670
33671
33672
33673
33674
33675
33676
33677
33678
33679
33680
33681
33682
33683
33684
33685
33686
33687
33688
33689
33690
33691
33692
33693
33694
33695
33696
33697
33698
33699
33700
33701
33702
33703
33704
33705
33706
33707
33708
33709
33710
33711
33712
33713
33714
33715
33716
33717
33718
33719
33720
33721
33722
33723
33724
33725
33726
33727
33728
33729
33730
33731
33732
33733
33734
33735
33736
33737
33738
33739
33740
33741
33742
33743
33744
33745
33746
33747
33748
33749
33750
33751
33752
33753
33754
33755
33756
33757
33758
33759
33760
33761
33762
33763
33764
33765
33766
33767
33768
33769
33770
33771
33772
33773
33774
33775
33776
33777
33778
33779
33780
33781
33782
33783
33784
33785
33786
33787
33788
33789
33790
33791
33792
33793
33794
33795
33796
33797
33798
33799
33800
33801
33802
33803
33804
33805
33806
33807
33808
33809
33810
33811
33812
33813
33814
33815
33816
33817
33818
33819
33820
33821
33822
33823
33824
33825
33826
33827
33828
33829
33830
33831
33832
33833
33834
33835
33836
33837
33838
33839
33840
33841
33842
33843
33844
33845
33846
33847
33848
33849
33850
33851
33852
33853
33854
33855
33856
33857
33858
33859
33860
33861
33862
33863
33864
33865
33866
33867
33868
33869
33870
33871
33872
33873
33874
33875
33876
33877
33878
33879
33880
33881
33882
33883
33884
33885
33886
33887
33888
33889
33890
33891
33892
33893
33894
33895
33896
33897
33898
33899
33900
33901
33902
33903
33904
33905
33906
33907
33908
33909
33910
33911
33912
33913
33914
33915
33916
33917
33918
33919
33920
33921
33922
33923
33924
33925
33926
33927
33928
33929
33930
33931
33932
33933
33934
33935
33936
33937
33938
33939
33940
33941
33942
33943
33944
33945
33946
33947
33948
33949
33950
33951
33952
33953
33954
33955
33956
33957
33958
33959
33960
33961
33962
33963
33964
33965
33966
33967
33968
33969
33970
33971
33972
33973
33974
33975
33976
33977
33978
33979
33980
33981
33982
33983
33984
33985
33986
33987
33988
33989
33990
33991
33992
33993
33994
33995
33996
33997
33998
33999
34000
34001
34002
34003
34004
34005
34006
34007
34008
34009
34010
34011
34012
34013
34014
34015
34016
34017
34018
34019
34020
34021
34022
34023
34024
34025
34026
34027
34028
34029
34030
34031
34032
34033
34034
34035
34036
34037
34038
34039
34040
34041
34042
34043
34044
34045
34046
34047
34048
34049
34050
34051
34052
34053
34054
34055
34056
34057
34058
34059
34060
34061
34062
34063
34064
34065
34066
34067
34068
34069
34070
34071
34072
34073
34074
34075
34076
34077
34078
34079
34080
34081
34082
34083
34084
34085
34086
34087
34088
34089
34090
34091
34092
34093
34094
34095
34096
34097
34098
34099
34100
34101
34102
34103
34104
34105
34106
34107
34108
34109
34110
34111
34112
34113
34114
34115
34116
34117
34118
34119
34120
34121
34122
34123
34124
34125
34126
34127
34128
34129
34130
34131
34132
34133
34134
34135
34136
34137
34138
34139
34140
34141
34142
34143
34144
34145
34146
34147
34148
34149
34150
34151
34152
34153
34154
34155
34156
34157
34158
34159
34160
34161
34162
34163
34164
34165
34166
34167
34168
34169
34170
34171
34172
34173
34174
34175
34176
34177
34178
34179
34180
34181
34182
34183
34184
34185
34186
34187
34188
34189
34190
34191
34192
34193
34194
34195
34196
34197
34198
34199
34200
34201
34202
34203
34204
34205
34206
34207
34208
34209
34210
34211
34212
34213
34214
34215
34216
34217
34218
34219
34220
34221
34222
34223
34224
34225
34226
34227
34228
34229
34230
34231
34232
34233
34234
34235
34236
34237
34238
34239
34240
34241
34242
34243
34244
34245
34246
34247
34248
34249
34250
34251
34252
34253
34254
34255
34256
34257
34258
34259
34260
34261
34262
34263
34264
34265
34266
34267
34268
34269
34270
34271
34272
34273
34274
34275
34276
34277
34278
34279
34280
34281
34282
34283
34284
34285
34286
34287
34288
34289
34290
34291
34292
34293
34294
34295
34296
34297
34298
34299
34300
34301
34302
34303
34304
34305
34306
34307
34308
34309
34310
34311
34312
34313
34314
34315
34316
34317
34318
34319
34320
34321
34322
34323
34324
34325
34326
34327
34328
34329
34330
34331
34332
34333
34334
34335
34336
34337
34338
34339
34340
34341
34342
34343
34344
34345
34346
34347
34348
34349
34350
34351
34352
34353
34354
34355
34356
34357
34358
34359
34360
34361
34362
34363
34364
34365
34366
34367
34368
34369
34370
34371
34372
34373
34374
34375
34376
34377
34378
34379
34380
34381
34382
34383
34384
34385
34386
34387
34388
34389
34390
34391
34392
34393
34394
34395
34396
34397
34398
34399
34400
34401
34402
34403
34404
34405
34406
34407
34408
34409
34410
34411
34412
34413
34414
34415
34416
34417
34418
34419
34420
34421
34422
34423
34424
34425
34426
34427
34428
34429
34430
34431
34432
34433
34434
34435
34436
34437
34438
34439
34440
34441
34442
34443
34444
34445
34446
34447
34448
34449
34450
34451
34452
34453
34454
34455
34456
34457
34458
34459
34460
34461
34462
34463
34464
34465
34466
34467
34468
34469
34470
34471
34472
34473
34474
34475
34476
34477
34478
34479
34480
34481
34482
34483
34484
34485
34486
34487
34488
34489
34490
34491
34492
34493
34494
34495
34496
34497
34498
34499
34500
34501
34502
34503
34504
34505
34506
34507
34508
34509
34510
34511
34512
34513
34514
34515
34516
34517
34518
34519
34520
34521
34522
34523
34524
34525
34526
34527
34528
34529
34530
34531
34532
34533
34534
34535
34536
34537
34538
34539
34540
34541
34542
34543
34544
34545
34546
34547
34548
34549
34550
34551
34552
34553
34554
34555
34556
34557
34558
34559
34560
34561
34562
34563
34564
34565
34566
34567
34568
34569
34570
34571
34572
34573
34574
34575
34576
34577
34578
34579
34580
34581
34582
34583
34584
34585
34586
34587
34588
34589
34590
34591
34592
34593
34594
34595
34596
34597
34598
34599
34600
34601
34602
34603
34604
34605
34606
34607
34608
34609
34610
34611
34612
34613
34614
34615
34616
34617
34618
34619
34620
34621
34622
34623
34624
34625
34626
34627
34628
34629
34630
34631
34632
34633
34634
34635
34636
34637
34638
34639
34640
34641
34642
34643
34644
34645
34646
34647
34648
34649
34650
34651
34652
34653
34654
34655
34656
34657
34658
34659
34660
34661
34662
34663
34664
34665
34666
34667
34668
34669
34670
34671
34672
34673
34674
34675
34676
34677
34678
34679
34680
34681
34682
34683
34684
34685
34686
34687
34688
34689
34690
34691
34692
34693
34694
34695
34696
34697
34698
34699
34700
34701
34702
34703
34704
34705
34706
34707
34708
34709
34710
34711
34712
34713
34714
34715
34716
34717
34718
34719
34720
34721
34722
34723
34724
34725
34726
34727
34728
34729
34730
34731
34732
34733
34734
34735
34736
34737
34738
34739
34740
34741
34742
34743
34744
34745
34746
34747
34748
34749
34750
34751
34752
34753
34754
34755
34756
34757
34758
34759
34760
34761
34762
34763
34764
34765
34766
34767
34768
34769
34770
34771
34772
34773
34774
34775
34776
34777
34778
34779
34780
34781
34782
34783
34784
34785
34786
34787
34788
34789
34790
34791
34792
34793
34794
34795
34796
34797
34798
34799
34800
34801
34802
34803
34804
34805
34806
34807
34808
34809
34810
34811
34812
34813
34814
34815
34816
34817
34818
34819
34820
34821
34822
34823
34824
34825
34826
34827
34828
34829
34830
34831
34832
34833
34834
34835
34836
34837
34838
34839
34840
34841
34842
34843
34844
34845
34846
34847
34848
34849
34850
34851
34852
34853
34854
34855
34856
34857
34858
34859
34860
34861
34862
34863
34864
34865
34866
34867
34868
34869
34870
34871
34872
34873
34874
34875
34876
34877
34878
34879
34880
34881
34882
34883
34884
34885
34886
34887
34888
34889
34890
34891
34892
34893
34894
34895
34896
34897
34898
34899
34900
34901
34902
34903
34904
34905
34906
34907
34908
34909
34910
34911
34912
34913
34914
34915
34916
34917
34918
34919
34920
34921
34922
34923
34924
34925
34926
34927
34928
34929
34930
34931
34932
34933
34934
34935
34936
34937
34938
34939
34940
34941
34942
34943
34944
34945
34946
34947
34948
34949
34950
34951
34952
34953
34954
34955
34956
34957
34958
34959
34960
34961
34962
34963
34964
34965
34966
34967
34968
34969
34970
34971
34972
34973
34974
34975
34976
34977
34978
34979
34980
34981
34982
34983
34984
34985
34986
34987
34988
34989
34990
34991
34992
34993
34994
34995
34996
34997
34998
34999
35000
35001
35002
35003
35004
35005
35006
35007
35008
35009
35010
35011
35012
35013
35014
35015
35016
35017
35018
35019
35020
35021
35022
35023
35024
35025
35026
35027
35028
35029
35030
35031
35032
35033
35034
35035
35036
35037
35038
35039
35040
35041
35042
35043
35044
35045
35046
35047
35048
35049
35050
35051
35052
35053
35054
35055
35056
35057
35058
35059
35060
35061
35062
35063
35064
35065
35066
35067
35068
35069
35070
35071
35072
35073
35074
35075
35076
35077
35078
35079
35080
35081
35082
35083
35084
35085
35086
35087
35088
35089
35090
35091
35092
35093
35094
35095
35096
35097
35098
35099
35100
35101
35102
35103
35104
35105
35106
35107
35108
35109
35110
35111
35112
35113
35114
35115
35116
35117
35118
35119
35120
35121
35122
35123
35124
35125
35126
35127
35128
35129
35130
35131
35132
35133
35134
35135
35136
35137
35138
35139
35140
35141
35142
35143
35144
35145
35146
35147
35148
35149
35150
35151
35152
35153
35154
35155
35156
35157
35158
35159
35160
35161
35162
35163
35164
35165
35166
35167
35168
35169
35170
35171
35172
35173
35174
35175
35176
35177
35178
35179
35180
35181
35182
35183
35184
35185
35186
35187
35188
35189
35190
35191
35192
35193
35194
35195
35196
35197
35198
35199
35200
35201
35202
35203
35204
35205
35206
35207
35208
35209
35210
35211
35212
35213
35214
35215
35216
35217
35218
35219
35220
35221
35222
35223
35224
35225
35226
35227
35228
35229
35230
35231
35232
35233
35234
35235
35236
35237
35238
35239
35240
35241
35242
35243
35244
35245
35246
35247
35248
35249
35250
35251
35252
35253
35254
35255
35256
35257
35258
35259
35260
35261
35262
35263
35264
35265
35266
35267
35268
35269
35270
35271
35272
35273
35274
35275
35276
35277
35278
35279
35280
35281
35282
35283
35284
35285
35286
35287
35288
35289
35290
35291
35292
35293
35294
35295
35296
35297
35298
35299
35300
35301
35302
35303
35304
35305
35306
35307
35308
35309
35310
35311
35312
35313
35314
35315
35316
35317
35318
35319
35320
35321
35322
35323
35324
35325
35326
35327
35328
35329
35330
35331
35332
35333
35334
35335
35336
35337
35338
35339
35340
35341
35342
35343
35344
35345
35346
35347
35348
35349
35350
35351
35352
35353
35354
35355
35356
35357
35358
35359
35360
35361
35362
35363
35364
35365
35366
35367
35368
35369
35370
35371
35372
35373
35374
35375
35376
35377
35378
35379
35380
35381
35382
35383
35384
35385
35386
35387
35388
35389
35390
35391
35392
35393
35394
35395
35396
35397
35398
35399
35400
35401
35402
35403
35404
35405
35406
35407
35408
35409
35410
35411
35412
35413
35414
35415
35416
35417
35418
35419
35420
35421
35422
35423
35424
35425
35426
35427
35428
35429
35430
35431
35432
35433
35434
35435
35436
35437
35438
35439
35440
35441
35442
35443
35444
35445
35446
35447
35448
35449
35450
35451
35452
35453
35454
35455
35456
35457
35458
35459
35460
35461
35462
35463
35464
35465
35466
35467
35468
35469
35470
35471
35472
35473
35474
35475
35476
35477
35478
35479
35480
35481
35482
35483
35484
35485
35486
35487
35488
35489
35490
35491
35492
35493
35494
35495
35496
35497
35498
35499
35500
35501
35502
35503
35504
35505
35506
35507
35508
35509
35510
35511
35512
35513
35514
35515
35516
35517
35518
35519
35520
35521
35522
35523
35524
35525
35526
35527
35528
35529
35530
35531
35532
35533
35534
35535
35536
35537
35538
35539
35540
35541
35542
35543
35544
35545
35546
35547
35548
35549
35550
35551
35552
35553
35554
35555
35556
35557
35558
35559
35560
35561
35562
35563
35564
35565
35566
35567
35568
35569
35570
35571
35572
35573
35574
35575
35576
35577
35578
35579
35580
35581
35582
35583
35584
35585
35586
35587
35588
35589
35590
35591
35592
35593
35594
35595
35596
35597
35598
35599
35600
35601
35602
35603
35604
35605
35606
35607
35608
35609
35610
35611
35612
35613
35614
35615
35616
35617
35618
35619
35620
35621
35622
35623
35624
35625
35626
35627
35628
35629
35630
35631
35632
35633
35634
35635
35636
35637
35638
35639
35640
35641
35642
35643
35644
35645
35646
35647
35648
35649
35650
35651
35652
35653
35654
35655
35656
35657
35658
35659
35660
35661
35662
35663
35664
35665
35666
35667
35668
35669
35670
35671
35672
35673
35674
35675
35676
35677
35678
35679
35680
35681
35682
35683
35684
35685
35686
35687
35688
35689
35690
35691
35692
35693
35694
35695
35696
35697
35698
35699
35700
35701
35702
35703
35704
35705
35706
35707
35708
35709
35710
35711
35712
35713
35714
35715
35716
35717
35718
35719
35720
35721
35722
35723
35724
35725
35726
35727
35728
35729
35730
35731
35732
35733
35734
35735
35736
35737
35738
35739
35740
35741
35742
35743
35744
35745
35746
35747
35748
35749
35750
35751
35752
35753
35754
35755
35756
35757
35758
35759
35760
35761
35762
35763
35764
35765
35766
35767
35768
35769
35770
35771
35772
35773
35774
35775
35776
35777
35778
35779
35780
35781
35782
35783
35784
35785
35786
35787
35788
35789
35790
35791
35792
35793
35794
35795
35796
35797
35798
35799
35800
35801
35802
35803
35804
35805
35806
35807
35808
35809
35810
35811
35812
35813
35814
35815
35816
35817
35818
35819
35820
35821
35822
35823
35824
35825
35826
35827
35828
35829
35830
35831
35832
35833
35834
35835
35836
35837
35838
35839
35840
35841
35842
35843
35844
35845
35846
35847
35848
35849
35850
35851
35852
35853
35854
35855
35856
35857
35858
35859
35860
35861
35862
35863
35864
35865
35866
35867
35868
35869
35870
35871
35872
35873
35874
35875
35876
35877
35878
35879
35880
35881
35882
35883
35884
35885
35886
35887
35888
35889
35890
35891
35892
35893
35894
35895
35896
35897
35898
35899
35900
35901
35902
35903
35904
35905
35906
35907
35908
35909
35910
35911
35912
35913
35914
35915
35916
35917
35918
35919
35920
35921
35922
35923
35924
35925
35926
35927
35928
35929
35930
35931
35932
35933
35934
35935
35936
35937
35938
35939
35940
35941
35942
35943
35944
35945
35946
35947
35948
35949
35950
35951
35952
35953
35954
35955
35956
35957
35958
35959
35960
35961
35962
35963
35964
35965
35966
35967
35968
35969
35970
35971
35972
35973
35974
35975
35976
35977
35978
35979
35980
35981
35982
35983
35984
35985
35986
35987
35988
35989
35990
35991
35992
35993
35994
35995
35996
35997
35998
35999
36000
36001
36002
36003
36004
36005
36006
36007
36008
36009
36010
36011
36012
36013
36014
36015
36016
36017
36018
36019
36020
36021
36022
36023
36024
36025
36026
36027
36028
36029
36030
36031
36032
36033
36034
36035
36036
36037
36038
36039
36040
36041
36042
36043
36044
36045
36046
36047
36048
36049
36050
36051
36052
36053
36054
36055
36056
36057
36058
36059
36060
36061
36062
36063
36064
36065
36066
36067
36068
36069
36070
36071
36072
36073
36074
36075
36076
36077
36078
36079
36080
36081
36082
36083
36084
36085
36086
36087
36088
36089
36090
36091
36092
36093
36094
36095
36096
36097
36098
36099
36100
36101
36102
36103
36104
36105
36106
36107
36108
36109
36110
36111
36112
36113
36114
36115
36116
36117
36118
36119
36120
36121
36122
36123
36124
36125
36126
36127
36128
36129
36130
36131
36132
36133
36134
36135
36136
36137
36138
36139
36140
36141
36142
36143
36144
36145
36146
36147
36148
36149
36150
36151
36152
36153
36154
36155
36156
36157
36158
36159
36160
36161
36162
36163
36164
36165
36166
36167
36168
36169
36170
36171
36172
36173
36174
36175
36176
36177
36178
36179
36180
36181
36182
36183
36184
36185
36186
36187
36188
36189
36190
36191
36192
36193
36194
36195
36196
36197
36198
36199
36200
36201
36202
36203
36204
36205
36206
36207
36208
36209
36210
36211
36212
36213
36214
36215
36216
36217
36218
36219
36220
36221
36222
36223
36224
36225
36226
36227
36228
36229
36230
36231
36232
36233
36234
36235
36236
36237
36238
36239
36240
36241
36242
36243
36244
36245
36246
36247
36248
36249
36250
36251
36252
36253
36254
36255
36256
36257
36258
36259
36260
36261
36262
36263
36264
36265
36266
36267
36268
36269
36270
36271
36272
36273
36274
36275
36276
36277
36278
36279
36280
36281
36282
36283
36284
36285
36286
36287
36288
36289
36290
36291
36292
36293
36294
36295
36296
36297
36298
36299
36300
36301
36302
36303
36304
36305
36306
36307
36308
36309
36310
36311
36312
36313
36314
36315
36316
36317
36318
36319
36320
36321
36322
36323
36324
36325
36326
36327
36328
36329
36330
36331
36332
36333
36334
36335
36336
36337
36338
36339
36340
36341
36342
36343
36344
36345
36346
36347
36348
36349
36350
36351
36352
36353
36354
36355
36356
36357
36358
36359
36360
36361
36362
36363
36364
36365
36366
36367
36368
36369
36370
36371
36372
36373
36374
36375
36376
36377
36378
36379
36380
36381
36382
36383
36384
36385
36386
36387
36388
36389
36390
36391
36392
36393
36394
36395
36396
36397
36398
36399
36400
36401
36402
36403
36404
36405
36406
36407
36408
36409
36410
36411
36412
36413
36414
36415
36416
36417
36418
36419
36420
36421
36422
36423
36424
36425
36426
36427
36428
36429
36430
36431
36432
36433
36434
36435
36436
36437
36438
36439
36440
36441
36442
36443
36444
36445
36446
36447
36448
36449
36450
36451
36452
36453
36454
36455
36456
36457
36458
36459
36460
36461
36462
36463
36464
36465
36466
36467
36468
36469
36470
36471
36472
36473
36474
36475
36476
36477
36478
36479
36480
36481
36482
36483
36484
36485
36486
36487
36488
36489
36490
36491
36492
36493
36494
36495
36496
36497
36498
36499
36500
36501
36502
36503
36504
36505
36506
36507
36508
36509
36510
36511
36512
36513
36514
36515
36516
36517
36518
36519
36520
36521
36522
36523
36524
36525
36526
36527
36528
36529
36530
36531
36532
36533
36534
36535
36536
36537
36538
36539
36540
36541
36542
36543
36544
36545
36546
36547
36548
36549
36550
36551
36552
36553
36554
36555
36556
36557
36558
36559
36560
36561
36562
36563
36564
36565
36566
36567
36568
36569
36570
36571
36572
36573
36574
36575
36576
36577
36578
36579
36580
36581
36582
36583
36584
36585
36586
36587
36588
36589
36590
36591
36592
36593
36594
36595
36596
36597
36598
36599
36600
36601
36602
36603
36604
36605
36606
36607
36608
36609
36610
36611
36612
36613
36614
36615
36616
36617
36618
36619
36620
36621
36622
36623
36624
36625
36626
36627
36628
36629
36630
36631
36632
36633
36634
36635
36636
36637
36638
36639
36640
36641
36642
36643
36644
36645
36646
36647
36648
36649
36650
36651
36652
36653
36654
36655
36656
36657
36658
36659
36660
36661
36662
36663
36664
36665
36666
36667
36668
36669
36670
36671
36672
36673
36674
36675
36676
36677
36678
36679
36680
36681
36682
36683
36684
36685
36686
36687
36688
36689
36690
36691
36692
36693
36694
36695
36696
36697
36698
36699
36700
36701
36702
36703
36704
36705
36706
36707
36708
36709
36710
36711
36712
36713
36714
36715
36716
36717
36718
36719
36720
36721
36722
36723
36724
36725
36726
36727
36728
36729
36730
36731
36732
36733
36734
36735
36736
36737
36738
36739
36740
36741
36742
36743
36744
36745
36746
36747
36748
36749
36750
36751
36752
36753
36754
36755
36756
36757
36758
36759
36760
36761
36762
36763
36764
36765
36766
36767
36768
36769
36770
36771
36772
36773
36774
36775
36776
36777
36778
36779
36780
36781
36782
36783
36784
36785
36786
36787
36788
36789
36790
36791
36792
36793
36794
36795
36796
36797
36798
36799
36800
36801
36802
36803
36804
36805
36806
36807
36808
36809
36810
36811
36812
36813
36814
36815
36816
36817
36818
36819
36820
36821
36822
36823
36824
36825
36826
36827
36828
36829
36830
36831
36832
36833
36834
36835
36836
36837
36838
36839
36840
36841
36842
36843
36844
36845
36846
36847
36848
36849
36850
36851
36852
36853
36854
36855
36856
36857
36858
36859
36860
36861
36862
36863
36864
36865
36866
36867
36868
36869
36870
36871
36872
36873
36874
36875
36876
36877
36878
36879
36880
36881
36882
36883
36884
36885
36886
36887
36888
36889
36890
36891
36892
36893
36894
36895
36896
36897
36898
36899
36900
36901
36902
36903
36904
36905
36906
36907
36908
36909
36910
36911
36912
36913
36914
36915
36916
36917
36918
36919
36920
36921
36922
36923
36924
36925
36926
36927
36928
36929
36930
36931
36932
36933
36934
36935
36936
36937
36938
36939
36940
36941
36942
36943
36944
36945
36946
36947
36948
36949
36950
36951
36952
36953
36954
36955
36956
36957
36958
36959
36960
36961
36962
36963
36964
36965
36966
36967
36968
36969
36970
36971
36972
36973
36974
36975
36976
36977
36978
36979
36980
36981
36982
36983
36984
36985
36986
36987
36988
36989
36990
36991
36992
36993
36994
36995
36996
36997
36998
36999
37000
37001
37002
37003
37004
37005
37006
37007
37008
37009
37010
37011
37012
37013
37014
37015
37016
37017
37018
37019
37020
37021
37022
37023
37024
37025
37026
37027
37028
37029
37030
37031
37032
37033
37034
37035
37036
37037
37038
37039
37040
37041
37042
37043
37044
37045
37046
37047
37048
37049
37050
37051
37052
37053
37054
37055
37056
37057
37058
37059
37060
37061
37062
37063
37064
37065
37066
37067
37068
37069
37070
37071
37072
37073
37074
37075
37076
37077
37078
37079
37080
37081
37082
37083
37084
37085
37086
37087
37088
37089
37090
37091
37092
37093
37094
37095
37096
37097
37098
37099
37100
37101
37102
37103
37104
37105
37106
37107
37108
37109
37110
37111
37112
37113
37114
37115
37116
37117
37118
37119
37120
37121
37122
37123
37124
37125
37126
37127
37128
37129
37130
37131
37132
37133
37134
37135
37136
37137
37138
37139
37140
37141
37142
37143
37144
37145
37146
37147
37148
37149
37150
37151
37152
37153
37154
37155
37156
37157
37158
37159
37160
37161
37162
37163
37164
37165
37166
37167
37168
37169
37170
37171
37172
37173
37174
37175
37176
37177
37178
37179
37180
37181
37182
37183
37184
37185
37186
37187
37188
37189
37190
37191
37192
37193
37194
37195
37196
37197
37198
37199
37200
37201
37202
37203
37204
37205
37206
37207
37208
37209
37210
37211
37212
37213
37214
37215
37216
37217
37218
37219
37220
37221
37222
37223
37224
37225
37226
37227
37228
37229
37230
37231
37232
37233
37234
37235
37236
37237
37238
37239
37240
37241
37242
37243
37244
37245
37246
37247
37248
37249
37250
37251
37252
37253
37254
37255
37256
37257
37258
37259
37260
37261
37262
37263
37264
37265
37266
37267
37268
37269
37270
37271
37272
37273
37274
37275
37276
37277
37278
37279
37280
37281
37282
37283
37284
37285
37286
37287
37288
37289
37290
37291
37292
37293
37294
37295
37296
37297
37298
37299
37300
37301
37302
37303
37304
37305
37306
37307
37308
37309
37310
37311
37312
37313
37314
37315
37316
37317
37318
37319
37320
37321
37322
37323
37324
37325
37326
37327
37328
37329
37330
37331
37332
37333
37334
37335
37336
37337
37338
37339
37340
37341
37342
37343
37344
37345
37346
37347
37348
37349
37350
37351
37352
37353
37354
37355
37356
37357
37358
37359
37360
37361
37362
37363
37364
37365
37366
37367
37368
37369
37370
37371
37372
37373
37374
37375
37376
37377
37378
37379
37380
37381
37382
37383
37384
37385
37386
37387
37388
37389
37390
37391
37392
37393
37394
37395
37396
37397
37398
37399
37400
37401
37402
37403
37404
37405
37406
37407
37408
37409
37410
37411
37412
37413
37414
37415
37416
37417
37418
37419
37420
37421
37422
37423
37424
37425
37426
37427
37428
37429
37430
37431
37432
37433
37434
37435
37436
37437
37438
37439
37440
37441
37442
37443
37444
37445
37446
37447
37448
37449
37450
37451
37452
37453
37454
37455
37456
37457
37458
37459
37460
37461
37462
37463
37464
37465
37466
37467
37468
37469
37470
37471
37472
37473
37474
37475
37476
37477
37478
37479
37480
37481
37482
37483
37484
37485
37486
37487
37488
37489
37490
37491
37492
37493
37494
37495
37496
37497
37498
37499
37500
37501
37502
37503
37504
37505
37506
37507
37508
37509
37510
37511
37512
37513
37514
37515
37516
37517
37518
37519
37520
37521
37522
37523
37524
37525
37526
37527
37528
37529
37530
37531
37532
37533
37534
37535
37536
37537
37538
37539
37540
37541
37542
37543
37544
37545
37546
37547
37548
37549
37550
37551
37552
37553
37554
37555
37556
37557
37558
37559
37560
37561
37562
37563
37564
37565
37566
37567
37568
37569
37570
37571
37572
37573
37574
37575
37576
37577
37578
37579
37580
37581
37582
37583
37584
37585
37586
37587
37588
37589
37590
37591
37592
37593
37594
37595
37596
37597
37598
37599
37600
37601
37602
37603
37604
37605
37606
37607
37608
37609
37610
37611
37612
37613
37614
37615
37616
37617
37618
37619
37620
37621
37622
37623
37624
37625
37626
37627
37628
37629
37630
37631
37632
37633
37634
37635
37636
37637
37638
37639
37640
37641
37642
37643
37644
37645
37646
37647
37648
37649
37650
37651
37652
37653
37654
37655
37656
37657
37658
37659
37660
37661
37662
37663
37664
37665
37666
37667
37668
37669
37670
37671
37672
37673
37674
37675
37676
37677
37678
37679
37680
37681
37682
37683
37684
37685
37686
37687
37688
37689
37690
37691
37692
37693
37694
37695
37696
37697
37698
37699
37700
37701
37702
37703
37704
37705
37706
37707
37708
37709
37710
37711
37712
37713
37714
37715
37716
37717
37718
37719
37720
37721
37722
37723
37724
37725
37726
37727
37728
37729
37730
37731
37732
37733
37734
37735
37736
37737
37738
37739
37740
37741
37742
37743
37744
37745
37746
37747
37748
37749
37750
37751
37752
37753
37754
37755
37756
37757
37758
37759
37760
37761
37762
37763
37764
37765
37766
37767
37768
37769
37770
37771
37772
37773
37774
37775
37776
37777
37778
37779
37780
37781
37782
37783
37784
37785
37786
37787
37788
37789
37790
37791
37792
37793
37794
37795
37796
37797
37798
37799
37800
37801
37802
37803
37804
37805
37806
37807
37808
37809
37810
37811
37812
37813
37814
37815
37816
37817
37818
37819
37820
37821
37822
37823
37824
37825
37826
37827
37828
37829
37830
37831
37832
37833
37834
37835
37836
37837
37838
37839
37840
37841
37842
37843
37844
37845
37846
37847
37848
37849
37850
37851
37852
37853
37854
37855
37856
37857
37858
37859
37860
37861
37862
37863
37864
37865
37866
37867
37868
37869
37870
37871
37872
37873
37874
37875
37876
37877
37878
37879
37880
37881
37882
37883
37884
37885
37886
37887
37888
37889
37890
37891
37892
37893
37894
37895
37896
37897
37898
37899
37900
37901
37902
37903
37904
37905
37906
37907
37908
37909
37910
37911
37912
37913
37914
37915
37916
37917
37918
37919
37920
37921
37922
37923
37924
37925
37926
37927
37928
37929
37930
37931
37932
37933
37934
37935
37936
37937
37938
37939
37940
37941
37942
37943
37944
37945
37946
37947
37948
37949
37950
37951
37952
37953
37954
37955
37956
37957
37958
37959
37960
37961
37962
37963
37964
37965
37966
37967
37968
37969
37970
37971
37972
37973
37974
37975
37976
37977
37978
37979
37980
37981
37982
37983
37984
37985
37986
37987
37988
37989
37990
37991
37992
37993
37994
37995
37996
37997
37998
37999
38000
38001
38002
38003
38004
38005
38006
38007
38008
38009
38010
38011
38012
38013
38014
38015
38016
38017
38018
38019
38020
38021
38022
38023
38024
38025
38026
38027
38028
38029
38030
38031
38032
38033
38034
38035
38036
38037
38038
38039
38040
38041
38042
38043
38044
38045
38046
38047
38048
38049
38050
38051
38052
38053
38054
38055
38056
38057
38058
38059
38060
38061
38062
38063
38064
38065
38066
38067
38068
38069
38070
38071
38072
38073
38074
38075
38076
38077
38078
38079
38080
38081
38082
38083
38084
38085
38086
38087
38088
38089
38090
38091
38092
38093
38094
38095
38096
38097
38098
38099
38100
38101
38102
38103
38104
38105
38106
38107
38108
38109
38110
38111
38112
38113
38114
38115
38116
38117
38118
38119
38120
38121
38122
38123
38124
38125
38126
38127
38128
38129
38130
38131
38132
38133
38134
38135
38136
38137
38138
38139
38140
38141
38142
38143
38144
38145
38146
38147
38148
38149
38150
38151
38152
38153
38154
38155
38156
38157
38158
38159
38160
38161
38162
38163
38164
38165
38166
38167
38168
38169
38170
38171
38172
38173
38174
38175
38176
38177
38178
38179
38180
38181
38182
38183
38184
38185
38186
38187
38188
38189
38190
38191
38192
38193
38194
38195
38196
38197
38198
38199
38200
38201
38202
38203
38204
38205
38206
38207
38208
38209
38210
38211
38212
38213
38214
38215
38216
38217
38218
38219
38220
38221
38222
38223
38224
38225
38226
38227
38228
38229
38230
38231
38232
38233
38234
38235
38236
38237
38238
38239
38240
38241
38242
38243
38244
38245
38246
38247
38248
38249
38250
38251
38252
38253
38254
38255
38256
38257
38258
38259
38260
38261
38262
38263
38264
38265
38266
38267
38268
38269
38270
38271
38272
38273
38274
38275
38276
38277
38278
38279
38280
38281
38282
38283
38284
38285
38286
38287
38288
38289
38290
38291
38292
38293
38294
38295
38296
38297
38298
38299
38300
38301
38302
38303
38304
38305
38306
38307
38308
38309
38310
38311
38312
38313
38314
38315
38316
38317
38318
38319
38320
38321
38322
38323
38324
38325
38326
38327
38328
38329
38330
38331
38332
38333
38334
38335
38336
38337
38338
38339
38340
38341
38342
38343
38344
38345
38346
38347
38348
38349
38350
38351
38352
38353
38354
38355
38356
38357
38358
38359
38360
38361
38362
38363
38364
38365
38366
38367
38368
38369
38370
38371
38372
38373
38374
38375
38376
38377
38378
38379
38380
38381
38382
38383
38384
38385
38386
38387
38388
38389
38390
38391
38392
38393
38394
38395
38396
38397
38398
38399
38400
38401
38402
38403
38404
38405
38406
38407
38408
38409
38410
38411
38412
38413
38414
38415
38416
38417
38418
38419
38420
38421
38422
38423
38424
38425
38426
38427
38428
38429
38430
38431
38432
38433
38434
38435
38436
38437
38438
38439
38440
38441
38442
38443
38444
38445
38446
38447
38448
38449
38450
38451
38452
38453
38454
38455
38456
38457
38458
38459
38460
38461
38462
38463
38464
38465
38466
38467
38468
38469
38470
38471
38472
38473
38474
38475
38476
38477
38478
38479
38480
38481
38482
38483
38484
38485
38486
38487
38488
38489
38490
38491
38492
38493
38494
38495
38496
38497
38498
38499
38500
38501
38502
38503
38504
38505
38506
38507
38508
38509
38510
38511
38512
38513
38514
38515
38516
38517
38518
38519
38520
38521
38522
38523
38524
38525
38526
38527
38528
38529
38530
38531
38532
38533
38534
38535
38536
38537
38538
38539
38540
38541
38542
38543
38544
38545
38546
38547
38548
38549
38550
38551
38552
38553
38554
38555
38556
38557
38558
38559
38560
38561
38562
38563
38564
38565
38566
38567
38568
38569
38570
38571
38572
38573
38574
38575
38576
38577
38578
38579
38580
38581
38582
38583
38584
38585
38586
38587
38588
38589
38590
38591
38592
38593
38594
38595
38596
38597
38598
38599
38600
38601
38602
38603
38604
38605
38606
38607
38608
38609
38610
38611
38612
38613
38614
38615
38616
38617
38618
38619
38620
38621
38622
38623
38624
38625
38626
38627
38628
38629
38630
38631
38632
38633
38634
38635
38636
38637
38638
38639
38640
38641
38642
38643
38644
38645
38646
38647
38648
38649
38650
38651
38652
38653
38654
38655
38656
38657
38658
38659
38660
38661
38662
38663
38664
38665
38666
38667
38668
38669
38670
38671
38672
38673
38674
38675
38676
38677
38678
38679
38680
38681
38682
38683
38684
38685
38686
38687
38688
38689
38690
38691
38692
38693
38694
38695
38696
38697
38698
38699
38700
38701
38702
38703
38704
38705
38706
38707
38708
38709
38710
38711
38712
38713
38714
38715
38716
38717
38718
38719
38720
38721
38722
38723
38724
38725
38726
38727
38728
38729
38730
38731
38732
38733
38734
38735
38736
38737
38738
38739
38740
38741
38742
38743
38744
38745
38746
38747
38748
38749
38750
38751
38752
38753
38754
38755
38756
38757
38758
38759
38760
38761
38762
38763
38764
38765
38766
38767
38768
38769
38770
38771
38772
38773
38774
38775
38776
38777
38778
38779
38780
38781
38782
38783
38784
38785
38786
38787
38788
38789
38790
38791
38792
38793
38794
38795
38796
38797
38798
38799
38800
38801
38802
38803
38804
38805
38806
38807
38808
38809
38810
38811
38812
38813
38814
38815
38816
38817
38818
38819
38820
38821
38822
38823
38824
38825
38826
38827
38828
38829
38830
38831
38832
38833
38834
38835
38836
38837
38838
38839
38840
38841
38842
38843
38844
38845
38846
38847
38848
38849
38850
38851
38852
38853
38854
38855
38856
38857
38858
38859
38860
38861
38862
38863
38864
38865
38866
38867
38868
38869
38870
38871
38872
38873
38874
38875
38876
38877
38878
38879
38880
38881
38882
38883
38884
38885
38886
38887
38888
38889
38890
38891
38892
38893
38894
38895
38896
38897
38898
38899
38900
38901
38902
38903
38904
38905
38906
38907
38908
38909
38910
38911
38912
38913
38914
38915
38916
38917
38918
38919
38920
38921
38922
38923
38924
38925
38926
38927
38928
38929
38930
38931
38932
38933
38934
38935
38936
38937
38938
38939
38940
38941
38942
38943
38944
38945
38946
38947
38948
38949
38950
38951
38952
38953
38954
38955
38956
38957
38958
38959
38960
38961
38962
38963
38964
38965
38966
38967
38968
38969
38970
38971
38972
38973
38974
38975
38976
38977
38978
38979
38980
38981
38982
38983
38984
38985
38986
38987
38988
38989
38990
38991
38992
38993
38994
38995
38996
38997
38998
38999
39000
39001
39002
39003
39004
39005
39006
39007
39008
39009
39010
39011
39012
39013
39014
39015
39016
39017
39018
39019
39020
39021
39022
39023
39024
39025
39026
39027
39028
39029
39030
39031
39032
39033
39034
39035
39036
39037
39038
39039
39040
39041
39042
39043
39044
39045
39046
39047
39048
39049
39050
39051
39052
39053
39054
39055
39056
39057
39058
39059
39060
39061
39062
39063
39064
39065
39066
39067
39068
39069
39070
39071
39072
39073
39074
39075
39076
39077
39078
39079
39080
39081
39082
39083
39084
39085
39086
39087
39088
39089
39090
39091
39092
39093
39094
39095
39096
39097
39098
39099
39100
39101
39102
39103
39104
39105
39106
39107
39108
39109
39110
39111
39112
39113
39114
39115
39116
39117
39118
39119
39120
39121
39122
39123
39124
39125
39126
39127
39128
39129
39130
39131
39132
39133
39134
39135
39136
39137
39138
39139
39140
39141
39142
39143
39144
39145
39146
39147
39148
39149
39150
39151
39152
39153
39154
39155
39156
39157
39158
39159
39160
39161
39162
39163
39164
39165
39166
39167
39168
39169
39170
39171
39172
39173
39174
39175
39176
39177
39178
39179
39180
39181
39182
39183
39184
39185
39186
39187
39188
39189
39190
39191
39192
39193
39194
39195
39196
39197
39198
39199
39200
39201
39202
39203
39204
39205
39206
39207
39208
39209
39210
39211
39212
39213
39214
39215
39216
39217
39218
39219
39220
39221
39222
39223
39224
39225
39226
39227
39228
39229
39230
39231
39232
39233
39234
39235
39236
39237
39238
39239
39240
39241
39242
39243
39244
39245
39246
39247
39248
39249
39250
39251
39252
39253
39254
39255
39256
39257
39258
39259
39260
39261
39262
39263
39264
39265
39266
39267
39268
39269
39270
39271
39272
39273
39274
39275
39276
39277
39278
39279
39280
39281
39282
39283
39284
39285
39286
39287
39288
39289
39290
39291
39292
39293
39294
39295
39296
39297
39298
39299
39300
39301
39302
39303
39304
39305
39306
39307
39308
39309
39310
39311
39312
39313
39314
39315
39316
39317
39318
39319
39320
39321
39322
39323
39324
39325
39326
39327
39328
39329
39330
39331
39332
39333
39334
39335
39336
39337
39338
39339
39340
39341
39342
39343
39344
39345
39346
39347
39348
39349
39350
39351
39352
39353
39354
39355
39356
39357
39358
39359
39360
39361
39362
39363
39364
39365
39366
39367
39368
39369
39370
39371
39372
39373
39374
39375
39376
39377
39378
39379
39380
39381
39382
39383
39384
39385
39386
39387
39388
39389
39390
39391
39392
39393
39394
39395
39396
39397
39398
39399
39400
39401
39402
39403
39404
39405
39406
39407
39408
39409
39410
39411
39412
39413
39414
39415
39416
39417
39418
39419
39420
39421
39422
39423
39424
39425
39426
39427
39428
39429
39430
39431
39432
39433
39434
39435
39436
39437
39438
39439
39440
39441
39442
39443
39444
39445
39446
39447
39448
39449
39450
39451
39452
39453
39454
39455
39456
39457
39458
39459
39460
39461
39462
39463
39464
39465
39466
39467
39468
39469
39470
39471
39472
39473
39474
39475
39476
39477
39478
39479
39480
39481
39482
39483
39484
39485
39486
39487
39488
39489
39490
39491
39492
39493
39494
39495
39496
39497
39498
39499
39500
39501
39502
39503
39504
39505
39506
39507
39508
39509
39510
39511
39512
39513
39514
39515
39516
39517
39518
39519
39520
39521
39522
39523
39524
39525
39526
39527
39528
39529
39530
39531
39532
39533
39534
39535
39536
39537
39538
39539
39540
39541
39542
39543
39544
39545
39546
39547
39548
39549
39550
39551
39552
39553
39554
39555
39556
39557
39558
39559
39560
39561
39562
39563
39564
39565
39566
39567
39568
39569
39570
39571
39572
39573
39574
39575
39576
39577
39578
39579
39580
39581
39582
39583
39584
39585
39586
39587
39588
39589
39590
39591
39592
39593
39594
39595
39596
39597
39598
39599
39600
39601
39602
39603
39604
39605
39606
39607
39608
39609
39610
39611
39612
39613
39614
39615
39616
39617
39618
39619
39620
39621
39622
39623
39624
39625
39626
39627
39628
39629
39630
39631
39632
39633
39634
39635
39636
39637
39638
39639
39640
39641
39642
39643
39644
39645
39646
39647
39648
39649
39650
39651
39652
39653
39654
39655
39656
39657
39658
39659
39660
39661
39662
39663
39664
39665
39666
39667
39668
39669
39670
39671
39672
39673
39674
39675
39676
39677
39678
39679
39680
39681
39682
39683
39684
39685
39686
39687
39688
39689
39690
39691
39692
39693
39694
39695
39696
39697
39698
39699
39700
39701
39702
39703
39704
39705
39706
39707
39708
39709
39710
39711
39712
39713
39714
39715
39716
39717
39718
39719
39720
39721
39722
39723
39724
39725
39726
39727
39728
39729
39730
39731
39732
39733
39734
39735
39736
39737
39738
39739
39740
39741
39742
39743
39744
39745
39746
39747
39748
39749
39750
39751
39752
39753
39754
39755
39756
39757
39758
39759
39760
39761
39762
39763
39764
39765
39766
39767
39768
39769
39770
39771
39772
39773
39774
39775
39776
39777
39778
39779
39780
39781
39782
39783
39784
39785
39786
39787
39788
39789
39790
39791
39792
39793
39794
39795
39796
39797
39798
39799
39800
39801
39802
39803
39804
39805
39806
39807
39808
39809
39810
39811
39812
39813
39814
39815
39816
39817
39818
39819
39820
39821
39822
39823
39824
39825
39826
39827
39828
39829
39830
39831
39832
39833
39834
39835
39836
39837
39838
39839
39840
39841
39842
39843
39844
39845
39846
39847
39848
39849
39850
39851
39852
39853
39854
39855
39856
39857
39858
39859
39860
39861
39862
39863
39864
39865
39866
39867
39868
39869
39870
39871
39872
39873
39874
39875
39876
39877
39878
39879
39880
39881
39882
39883
39884
39885
39886
39887
39888
39889
39890
39891
39892
39893
39894
39895
39896
39897
39898
39899
39900
39901
39902
39903
39904
39905
39906
39907
39908
39909
39910
39911
39912
39913
39914
39915
39916
39917
39918
39919
39920
39921
39922
39923
39924
39925
39926
39927
39928
39929
39930
39931
39932
39933
39934
39935
39936
39937
39938
39939
39940
39941
39942
39943
39944
39945
39946
39947
39948
39949
39950
39951
39952
39953
39954
39955
39956
39957
39958
39959
39960
39961
39962
39963
39964
39965
39966
39967
39968
39969
39970
39971
39972
39973
39974
39975
39976
39977
39978
39979
39980
39981
39982
39983
39984
39985
39986
39987
39988
39989
39990
39991
39992
39993
39994
39995
39996
39997
39998
39999
40000
40001
40002
40003
40004
40005
40006
40007
40008
40009
40010
40011
40012
40013
40014
40015
40016
40017
40018
40019
40020
40021
40022
40023
40024
40025
40026
40027
40028
40029
40030
40031
40032
40033
40034
40035
40036
40037
40038
40039
40040
40041
40042
40043
40044
40045
40046
40047
40048
40049
40050
40051
40052
40053
40054
40055
40056
40057
40058
40059
40060
40061
40062
40063
40064
40065
40066
40067
40068
40069
40070
40071
40072
40073
40074
40075
40076
40077
40078
40079
40080
40081
40082
40083
40084
40085
40086
40087
40088
40089
40090
40091
40092
40093
40094
40095
40096
40097
40098
40099
40100
40101
40102
40103
40104
40105
40106
40107
40108
40109
40110
40111
40112
40113
40114
40115
40116
40117
40118
40119
40120
40121
40122
40123
40124
40125
40126
40127
40128
40129
40130
40131
40132
40133
40134
40135
40136
40137
40138
40139
40140
40141
40142
40143
40144
40145
40146
40147
40148
40149
40150
40151
40152
40153
40154
40155
40156
40157
40158
40159
40160
40161
40162
40163
40164
40165
40166
40167
40168
40169
40170
40171
40172
40173
40174
40175
40176
40177
40178
40179
40180
40181
40182
40183
40184
40185
40186
40187
40188
40189
40190
40191
40192
40193
40194
40195
40196
40197
40198
40199
40200
40201
40202
40203
40204
40205
40206
40207
40208
40209
40210
40211
40212
40213
40214
40215
40216
40217
40218
40219
40220
40221
40222
40223
40224
40225
40226
40227
40228
40229
40230
40231
40232
40233
40234
40235
40236
40237
40238
40239
40240
40241
40242
40243
40244
40245
40246
40247
40248
40249
40250
40251
40252
40253
40254
40255
40256
40257
40258
40259
40260
40261
40262
40263
40264
40265
40266
40267
40268
40269
40270
40271
40272
40273
40274
40275
40276
40277
40278
40279
40280
40281
40282
40283
40284
40285
40286
40287
40288
40289
40290
40291
40292
40293
40294
40295
40296
40297
40298
40299
40300
40301
40302
40303
40304
40305
40306
40307
40308
40309
40310
40311
40312
40313
40314
40315
40316
40317
40318
40319
40320
40321
40322
40323
40324
40325
40326
40327
40328
40329
40330
40331
40332
40333
40334
40335
40336
40337
40338
40339
40340
40341
40342
40343
40344
40345
40346
40347
40348
40349
40350
40351
40352
40353
40354
40355
40356
40357
40358
40359
40360
40361
40362
40363
40364
40365
40366
40367
40368
40369
40370
40371
40372
40373
40374
40375
40376
40377
40378
40379
40380
40381
40382
40383
40384
40385
40386
40387
40388
40389
40390
40391
40392
40393
40394
40395
40396
40397
40398
40399
40400
40401
40402
40403
40404
40405
40406
40407
40408
40409
40410
40411
40412
40413
40414
40415
40416
40417
40418
40419
40420
40421
40422
40423
40424
40425
40426
40427
40428
40429
40430
40431
40432
40433
40434
40435
40436
40437
40438
40439
40440
40441
40442
40443
40444
40445
40446
40447
40448
40449
40450
40451
40452
40453
40454
40455
40456
40457
40458
40459
40460
40461
40462
40463
40464
40465
40466
40467
40468
40469
40470
40471
40472
40473
40474
40475
40476
40477
40478
40479
40480
40481
40482
40483
40484
40485
40486
40487
40488
40489
40490
40491
40492
40493
40494
40495
40496
40497
40498
40499
40500
40501
40502
40503
40504
40505
40506
40507
40508
40509
40510
40511
40512
40513
40514
40515
40516
40517
40518
40519
40520
40521
40522
40523
40524
40525
40526
40527
40528
40529
40530
40531
40532
40533
40534
40535
40536
40537
40538
40539
40540
40541
40542
40543
40544
40545
40546
40547
40548
40549
40550
40551
40552
40553
40554
40555
40556
40557
40558
40559
40560
40561
40562
40563
40564
40565
40566
40567
40568
40569
40570
40571
40572
40573
40574
40575
40576
40577
40578
40579
40580
40581
40582
40583
40584
40585
40586
40587
40588
40589
40590
40591
40592
40593
40594
40595
40596
40597
40598
40599
40600
40601
40602
40603
40604
40605
40606
40607
40608
40609
40610
40611
40612
40613
40614
40615
40616
40617
40618
40619
40620
40621
40622
40623
40624
40625
40626
40627
40628
40629
40630
40631
40632
40633
40634
40635
40636
40637
40638
40639
40640
40641
40642
40643
40644
40645
40646
40647
40648
40649
40650
40651
40652
40653
40654
40655
40656
40657
40658
40659
40660
40661
40662
40663
40664
40665
40666
40667
40668
40669
40670
40671
40672
40673
40674
40675
40676
40677
40678
40679
40680
40681
40682
40683
40684
40685
40686
40687
40688
40689
40690
40691
40692
40693
40694
40695
40696
40697
40698
40699
40700
40701
40702
40703
40704
40705
40706
40707
40708
40709
40710
40711
40712
40713
40714
40715
40716
40717
40718
40719
40720
40721
40722
40723
40724
40725
40726
40727
40728
40729
40730
40731
40732
40733
40734
40735
40736
40737
40738
40739
40740
40741
40742
40743
40744
40745
40746
40747
40748
40749
40750
40751
40752
40753
40754
40755
40756
40757
40758
40759
40760
40761
40762
40763
40764
40765
40766
40767
40768
40769
40770
40771
40772
40773
40774
40775
40776
40777
40778
40779
40780
40781
40782
40783
40784
40785
40786
40787
40788
40789
40790
40791
40792
40793
40794
40795
40796
40797
40798
40799
40800
40801
40802
40803
40804
40805
40806
40807
40808
40809
40810
40811
40812
40813
40814
40815
40816
40817
40818
40819
40820
40821
40822
40823
40824
40825
40826
40827
40828
40829
40830
40831
40832
40833
40834
40835
40836
40837
40838
40839
40840
40841
40842
40843
40844
40845
40846
40847
40848
40849
40850
40851
40852
40853
40854
40855
40856
40857
40858
40859
40860
40861
40862
40863
40864
40865
40866
40867
40868
40869
40870
40871
40872
40873
40874
40875
40876
40877
40878
40879
40880
40881
40882
40883
40884
40885
40886
40887
40888
40889
40890
40891
40892
40893
40894
40895
40896
40897
40898
40899
40900
40901
40902
40903
40904
40905
40906
40907
40908
40909
40910
40911
40912
40913
40914
40915
40916
40917
40918
40919
40920
40921
40922
40923
40924
40925
40926
40927
40928
40929
40930
40931
40932
40933
40934
40935
40936
40937
40938
40939
40940
40941
40942
40943
40944
40945
40946
40947
40948
40949
40950
40951
40952
40953
40954
40955
40956
40957
40958
40959
40960
40961
40962
40963
40964
40965
40966
40967
40968
40969
40970
40971
40972
40973
40974
40975
40976
40977
40978
40979
40980
40981
40982
40983
40984
40985
40986
40987
40988
40989
40990
40991
40992
40993
40994
40995
40996
40997
40998
40999
41000
41001
41002
41003
41004
41005
41006
41007
41008
41009
41010
41011
41012
41013
41014
41015
41016
41017
41018
41019
41020
41021
41022
41023
41024
41025
41026
41027
41028
41029
41030
41031
41032
41033
41034
41035
41036
41037
41038
41039
41040
41041
41042
41043
41044
41045
41046
41047
41048
41049
41050
41051
41052
41053
41054
41055
41056
41057
41058
41059
41060
41061
41062
41063
41064
41065
41066
41067
41068
41069
41070
41071
41072
41073
41074
41075
41076
41077
41078
41079
41080
41081
41082
41083
41084
41085
41086
41087
41088
41089
41090
41091
41092
41093
41094
41095
41096
41097
41098
41099
41100
41101
41102
41103
41104
41105
41106
41107
41108
41109
41110
41111
41112
41113
41114
41115
41116
41117
41118
41119
41120
41121
41122
41123
41124
41125
41126
41127
41128
41129
41130
41131
41132
41133
41134
41135
41136
41137
41138
41139
41140
41141
41142
41143
41144
41145
41146
41147
41148
41149
41150
41151
41152
41153
41154
41155
41156
41157
41158
41159
41160
41161
41162
41163
41164
41165
41166
41167
41168
41169
41170
41171
41172
41173
41174
41175
41176
41177
41178
41179
41180
41181
41182
41183
41184
41185
41186
41187
41188
41189
41190
41191
41192
41193
41194
41195
41196
41197
41198
41199
41200
41201
41202
41203
41204
41205
41206
41207
41208
41209
41210
41211
41212
41213
41214
41215
41216
41217
41218
41219
41220
41221
41222
41223
41224
41225
41226
41227
41228
41229
41230
41231
41232
41233
41234
41235
41236
41237
41238
41239
41240
41241
41242
41243
41244
41245
41246
41247
41248
41249
41250
41251
41252
41253
41254
41255
41256
41257
41258
41259
41260
41261
41262
41263
41264
41265
41266
41267
41268
41269
41270
41271
41272
41273
41274
41275
41276
41277
41278
41279
41280
41281
41282
41283
41284
41285
41286
41287
41288
41289
41290
41291
41292
41293
41294
41295
41296
41297
41298
41299
41300
41301
41302
41303
41304
41305
41306
41307
41308
41309
41310
41311
41312
41313
41314
41315
41316
41317
41318
41319
41320
41321
41322
41323
41324
41325
41326
41327
41328
41329
41330
41331
41332
41333
41334
41335
41336
41337
41338
41339
41340
41341
41342
41343
41344
41345
41346
41347
41348
41349
41350
41351
41352
41353
41354
41355
41356
41357
41358
41359
41360
41361
41362
41363
41364
41365
41366
41367
41368
41369
41370
41371
41372
41373
41374
41375
41376
41377
41378
41379
41380
41381
41382
41383
41384
41385
41386
41387
41388
41389
41390
41391
41392
41393
41394
41395
41396
41397
41398
41399
41400
41401
41402
41403
41404
41405
41406
41407
41408
41409
41410
41411
41412
41413
41414
41415
41416
41417
41418
41419
41420
41421
41422
41423
41424
41425
41426
41427
41428
41429
41430
41431
41432
41433
41434
41435
41436
41437
41438
41439
41440
41441
41442
41443
41444
41445
41446
41447
41448
41449
41450
41451
41452
41453
41454
41455
41456
41457
41458
41459
41460
41461
41462
41463
41464
41465
41466
41467
41468
41469
41470
41471
41472
41473
41474
41475
41476
41477
41478
41479
41480
41481
41482
41483
41484
41485
41486
41487
41488
41489
41490
41491
41492
41493
41494
41495
41496
41497
41498
41499
41500
41501
41502
41503
41504
41505
41506
41507
41508
41509
41510
41511
41512
41513
41514
41515
41516
41517
41518
41519
41520
41521
41522
41523
41524
41525
41526
41527
41528
41529
41530
41531
41532
41533
41534
41535
41536
41537
41538
41539
41540
41541
41542
41543
41544
41545
41546
41547
41548
41549
41550
41551
41552
41553
41554
41555
41556
41557
41558
41559
41560
41561
41562
41563
41564
41565
41566
41567
41568
41569
41570
41571
41572
41573
41574
41575
41576
41577
41578
41579
41580
41581
41582
41583
41584
41585
41586
41587
41588
41589
41590
41591
41592
41593
41594
41595
41596
41597
41598
41599
41600
41601
41602
41603
41604
41605
41606
41607
41608
41609
41610
41611
41612
41613
41614
41615
41616
41617
41618
41619
41620
41621
41622
41623
41624
41625
41626
41627
41628
41629
41630
41631
41632
41633
41634
41635
41636
41637
41638
41639
41640
41641
41642
41643
41644
41645
41646
41647
41648
41649
41650
41651
41652
41653
41654
41655
41656
41657
41658
41659
41660
41661
41662
41663
41664
41665
41666
41667
41668
41669
41670
41671
41672
41673
41674
41675
41676
41677
41678
41679
41680
41681
41682
41683
41684
41685
41686
41687
41688
41689
41690
41691
41692
41693
41694
41695
41696
41697
41698
41699
41700
41701
41702
41703
41704
41705
41706
41707
41708
41709
41710
41711
41712
41713
41714
41715
41716
41717
41718
41719
41720
41721
41722
41723
41724
41725
41726
41727
41728
41729
41730
41731
41732
41733
41734
41735
41736
41737
41738
41739
41740
41741
41742
41743
41744
41745
41746
41747
41748
41749
41750
41751
41752
41753
41754
41755
41756
41757
41758
41759
41760
41761
41762
41763
41764
41765
41766
41767
41768
41769
41770
41771
41772
41773
41774
41775
41776
41777
41778
41779
41780
41781
41782
41783
41784
41785
41786
41787
41788
41789
41790
41791
41792
41793
41794
41795
41796
41797
41798
41799
41800
41801
41802
41803
41804
41805
41806
41807
41808
41809
41810
41811
41812
41813
41814
41815
41816
41817
41818
41819
41820
41821
41822
41823
41824
41825
41826
41827
41828
41829
41830
41831
41832
41833
41834
41835
41836
41837
41838
41839
41840
41841
41842
41843
41844
41845
41846
41847
41848
41849
41850
41851
41852
41853
41854
41855
41856
41857
41858
41859
41860
41861
41862
41863
41864
41865
41866
41867
41868
41869
41870
41871
41872
41873
41874
41875
41876
41877
41878
41879
41880
41881
41882
41883
41884
41885
41886
41887
41888
41889
41890
41891
41892
41893
41894
41895
41896
41897
41898
41899
41900
41901
41902
41903
41904
41905
41906
41907
41908
41909
41910
41911
41912
41913
41914
41915
41916
41917
41918
41919
41920
41921
41922
41923
41924
41925
41926
41927
41928
41929
41930
41931
41932
41933
41934
41935
41936
41937
41938
41939
41940
41941
41942
41943
41944
41945
41946
41947
41948
41949
41950
41951
41952
41953
41954
41955
41956
41957
41958
41959
41960
41961
41962
41963
41964
41965
41966
41967
41968
41969
41970
41971
41972
41973
41974
41975
41976
41977
41978
41979
41980
41981
41982
41983
41984
41985
41986
41987
41988
41989
41990
41991
41992
41993
41994
41995
41996
41997
41998
41999
42000
42001
42002
42003
42004
42005
42006
42007
42008
42009
42010
42011
42012
42013
42014
42015
42016
42017
42018
42019
42020
42021
42022
42023
42024
42025
42026
42027
42028
42029
42030
42031
42032
42033
42034
42035
42036
42037
42038
42039
42040
42041
42042
42043
42044
42045
42046
42047
42048
42049
42050
42051
42052
42053
42054
42055
42056
42057
42058
42059
42060
42061
42062
42063
42064
42065
42066
42067
42068
42069
42070
42071
42072
42073
42074
42075
42076
42077
42078
42079
42080
42081
42082
42083
42084
42085
42086
42087
42088
42089
42090
42091
42092
42093
42094
42095
42096
42097
42098
42099
42100
42101
42102
42103
42104
42105
42106
42107
42108
42109
42110
42111
42112
42113
42114
42115
42116
42117
42118
42119
42120
42121
42122
42123
42124
42125
42126
42127
42128
42129
42130
42131
42132
42133
42134
42135
42136
42137
42138
42139
42140
42141
42142
42143
42144
42145
42146
42147
42148
42149
42150
42151
42152
42153
42154
42155
42156
42157
42158
42159
42160
42161
42162
42163
42164
42165
42166
42167
42168
42169
42170
42171
42172
42173
42174
42175
42176
42177
42178
42179
42180
42181
42182
42183
42184
42185
42186
42187
42188
42189
42190
42191
42192
42193
42194
42195
42196
42197
42198
42199
42200
42201
42202
42203
42204
42205
42206
42207
42208
42209
42210
42211
42212
42213
42214
42215
42216
42217
42218
42219
42220
42221
42222
42223
42224
42225
42226
42227
42228
42229
42230
42231
42232
42233
42234
42235
42236
42237
42238
42239
42240
42241
42242
42243
42244
42245
42246
42247
42248
42249
42250
42251
42252
42253
42254
42255
42256
42257
42258
42259
42260
42261
42262
42263
42264
42265
42266
42267
42268
42269
42270
42271
42272
42273
42274
42275
42276
42277
42278
42279
42280
42281
42282
42283
42284
42285
42286
42287
42288
42289
42290
42291
42292
42293
42294
42295
42296
42297
42298
42299
42300
42301
42302
42303
42304
42305
42306
42307
42308
42309
42310
42311
42312
42313
42314
42315
42316
42317
42318
42319
42320
42321
42322
42323
42324
42325
42326
42327
42328
42329
42330
42331
42332
42333
42334
42335
42336
42337
42338
42339
42340
42341
42342
42343
42344
42345
42346
42347
42348
42349
42350
42351
42352
42353
42354
42355
42356
42357
42358
42359
42360
42361
42362
42363
42364
42365
42366
42367
42368
42369
42370
42371
42372
42373
42374
42375
42376
42377
42378
42379
42380
42381
42382
42383
42384
42385
42386
42387
42388
42389
42390
42391
42392
42393
42394
42395
42396
42397
42398
42399
42400
42401
42402
42403
42404
42405
42406
42407
42408
42409
42410
42411
42412
42413
42414
42415
42416
42417
42418
42419
42420
42421
42422
42423
42424
42425
42426
42427
42428
42429
42430
42431
42432
42433
42434
42435
42436
42437
42438
42439
42440
42441
42442
42443
42444
42445
42446
42447
42448
42449
42450
42451
42452
42453
42454
42455
42456
42457
42458
42459
42460
42461
42462
42463
42464
42465
42466
42467
42468
42469
42470
42471
42472
42473
42474
42475
42476
42477
42478
42479
42480
42481
42482
42483
42484
42485
42486
42487
42488
42489
42490
42491
42492
42493
42494
42495
42496
42497
42498
42499
42500
42501
42502
42503
42504
42505
42506
42507
42508
42509
42510
42511
42512
42513
42514
42515
42516
42517
42518
42519
42520
42521
42522
42523
42524
42525
42526
42527
42528
42529
42530
42531
42532
42533
42534
42535
42536
42537
42538
42539
42540
42541
42542
42543
42544
42545
42546
42547
42548
42549
42550
42551
42552
42553
42554
42555
42556
42557
42558
42559
42560
42561
42562
42563
42564
42565
42566
42567
42568
42569
42570
42571
42572
42573
42574
42575
42576
42577
42578
42579
42580
42581
42582
42583
42584
42585
42586
42587
42588
42589
42590
42591
42592
42593
42594
42595
42596
42597
42598
42599
42600
42601
42602
42603
42604
42605
42606
42607
42608
42609
42610
42611
42612
42613
42614
42615
42616
42617
42618
42619
42620
42621
42622
42623
42624
42625
42626
42627
42628
42629
42630
42631
42632
42633
42634
42635
42636
42637
42638
42639
42640
42641
42642
42643
42644
42645
42646
42647
42648
42649
42650
42651
42652
42653
42654
42655
42656
42657
42658
42659
42660
42661
42662
42663
42664
42665
42666
42667
42668
42669
42670
42671
42672
42673
42674
42675
42676
42677
42678
42679
42680
42681
42682
42683
42684
42685
42686
42687
42688
42689
42690
42691
42692
42693
42694
42695
42696
42697
42698
42699
42700
42701
42702
42703
42704
42705
42706
42707
42708
42709
42710
42711
42712
42713
42714
42715
42716
42717
42718
42719
42720
42721
42722
42723
42724
42725
42726
42727
42728
42729
42730
42731
42732
42733
42734
42735
42736
42737
42738
42739
42740
42741
42742
42743
42744
42745
42746
42747
42748
42749
42750
42751
42752
42753
42754
42755
42756
42757
42758
42759
42760
42761
42762
42763
42764
42765
42766
42767
42768
42769
42770
42771
42772
42773
42774
42775
42776
42777
42778
42779
42780
42781
42782
42783
42784
42785
42786
42787
42788
42789
42790
42791
42792
42793
42794
42795
42796
42797
42798
42799
42800
42801
42802
42803
42804
42805
42806
42807
42808
42809
42810
42811
42812
42813
42814
42815
42816
42817
42818
42819
42820
42821
42822
42823
42824
42825
42826
42827
42828
42829
42830
42831
42832
42833
42834
42835
42836
42837
42838
42839
42840
42841
42842
42843
42844
42845
42846
42847
42848
42849
42850
42851
42852
42853
42854
42855
42856
42857
42858
42859
42860
42861
42862
42863
42864
42865
42866
42867
42868
42869
42870
42871
42872
42873
42874
42875
42876
42877
42878
42879
42880
42881
42882
42883
42884
42885
42886
42887
42888
42889
42890
42891
42892
42893
42894
42895
42896
42897
42898
42899
42900
42901
42902
42903
42904
42905
42906
42907
42908
42909
42910
42911
42912
42913
42914
42915
42916
42917
42918
42919
42920
42921
42922
42923
42924
42925
42926
42927
42928
42929
42930
42931
42932
42933
42934
42935
42936
42937
42938
42939
42940
42941
42942
42943
42944
42945
42946
42947
42948
42949
42950
42951
42952
42953
42954
42955
42956
42957
42958
42959
42960
42961
42962
42963
42964
42965
42966
42967
42968
42969
42970
42971
42972
42973
42974
42975
42976
42977
42978
42979
42980
42981
42982
42983
42984
42985
42986
42987
42988
42989
42990
42991
42992
42993
42994
42995
42996
42997
42998
42999
43000
43001
43002
43003
43004
43005
43006
43007
43008
43009
43010
43011
43012
43013
43014
43015
43016
43017
43018
43019
43020
43021
43022
43023
43024
43025
43026
43027
43028
43029
43030
43031
43032
43033
43034
43035
43036
43037
43038
43039
43040
43041
43042
43043
43044
43045
43046
43047
43048
43049
43050
43051
43052
43053
43054
43055
43056
43057
43058
43059
43060
43061
43062
43063
43064
43065
43066
43067
43068
43069
43070
43071
43072
43073
43074
43075
43076
43077
43078
43079
43080
43081
43082
43083
43084
43085
43086
43087
43088
43089
43090
43091
43092
43093
43094
43095
43096
43097
43098
43099
43100
43101
43102
43103
43104
43105
43106
43107
43108
43109
43110
43111
43112
43113
43114
43115
43116
43117
43118
43119
43120
43121
43122
43123
43124
43125
43126
43127
43128
43129
43130
43131
43132
43133
43134
43135
43136
43137
43138
43139
43140
43141
43142
43143
43144
43145
43146
43147
43148
43149
43150
43151
43152
43153
43154
43155
43156
43157
43158
43159
43160
43161
43162
43163
43164
43165
43166
43167
43168
43169
43170
43171
43172
43173
43174
43175
43176
43177
43178
43179
43180
43181
43182
43183
43184
43185
43186
43187
43188
43189
43190
43191
43192
43193
43194
43195
43196
43197
43198
43199
43200
43201
43202
43203
43204
43205
43206
43207
43208
43209
43210
43211
43212
43213
43214
43215
43216
43217
43218
43219
43220
43221
43222
43223
43224
43225
43226
43227
43228
43229
43230
43231
43232
43233
43234
43235
43236
43237
43238
43239
43240
43241
43242
43243
43244
43245
43246
43247
43248
43249
43250
43251
43252
43253
43254
43255
43256
43257
43258
43259
43260
43261
43262
43263
43264
43265
43266
43267
43268
43269
43270
43271
43272
43273
43274
43275
43276
43277
43278
43279
43280
43281
43282
43283
43284
43285
43286
43287
43288
43289
43290
43291
43292
43293
43294
43295
43296
43297
43298
43299
43300
43301
43302
43303
43304
43305
43306
43307
43308
43309
43310
43311
43312
43313
43314
43315
43316
43317
43318
43319
43320
43321
43322
43323
43324
43325
43326
43327
43328
43329
43330
43331
43332
43333
43334
43335
43336
43337
43338
43339
43340
43341
43342
43343
43344
43345
43346
43347
43348
43349
43350
43351
43352
43353
43354
43355
43356
43357
43358
43359
43360
43361
43362
43363
43364
43365
43366
43367
43368
43369
43370
43371
43372
43373
43374
43375
43376
43377
43378
43379
43380
43381
43382
43383
43384
43385
43386
43387
43388
43389
43390
43391
43392
43393
43394
43395
43396
43397
43398
43399
43400
43401
43402
43403
43404
43405
43406
43407
43408
43409
43410
43411
43412
43413
43414
43415
43416
43417
43418
43419
43420
43421
43422
43423
43424
43425
43426
43427
43428
43429
43430
43431
43432
43433
43434
43435
43436
43437
43438
43439
43440
43441
43442
43443
43444
43445
43446
43447
43448
43449
43450
43451
43452
43453
43454
43455
43456
43457
43458
43459
43460
43461
43462
43463
43464
43465
43466
43467
43468
43469
43470
43471
43472
43473
43474
43475
43476
43477
43478
43479
43480
43481
43482
43483
43484
43485
43486
43487
43488
43489
43490
43491
43492
43493
43494
43495
43496
43497
43498
43499
43500
43501
43502
43503
43504
43505
43506
43507
43508
43509
43510
43511
43512
43513
43514
43515
43516
43517
43518
43519
43520
43521
43522
43523
43524
43525
43526
43527
43528
43529
43530
43531
43532
43533
43534
43535
43536
43537
43538
43539
43540
43541
43542
43543
43544
43545
43546
43547
43548
43549
43550
43551
43552
43553
43554
43555
43556
43557
43558
43559
43560
43561
43562
43563
43564
43565
43566
43567
43568
43569
43570
43571
43572
43573
43574
43575
43576
43577
43578
43579
43580
43581
43582
43583
43584
43585
43586
43587
43588
43589
43590
43591
43592
43593
43594
43595
43596
43597
43598
43599
43600
43601
43602
43603
43604
43605
43606
43607
43608
43609
43610
43611
43612
43613
43614
43615
43616
43617
43618
43619
43620
43621
43622
43623
43624
43625
43626
43627
43628
43629
43630
43631
43632
43633
43634
43635
43636
43637
43638
43639
43640
43641
43642
43643
43644
43645
43646
43647
43648
43649
43650
43651
43652
43653
43654
43655
43656
43657
43658
43659
43660
43661
43662
43663
43664
43665
43666
43667
43668
43669
43670
43671
43672
43673
43674
43675
43676
43677
43678
43679
43680
43681
43682
43683
43684
43685
43686
43687
43688
43689
43690
43691
43692
43693
43694
43695
43696
43697
43698
43699
43700
43701
43702
43703
43704
43705
43706
43707
43708
43709
43710
43711
43712
43713
43714
43715
43716
43717
43718
43719
43720
43721
43722
43723
43724
43725
43726
43727
43728
43729
43730
43731
43732
43733
43734
43735
43736
43737
43738
43739
43740
43741
43742
43743
43744
43745
43746
43747
43748
43749
43750
43751
43752
43753
43754
43755
43756
43757
43758
43759
43760
43761
43762
43763
43764
43765
43766
43767
43768
43769
43770
43771
43772
43773
43774
43775
43776
43777
43778
43779
43780
43781
43782
43783
43784
43785
43786
43787
43788
43789
43790
43791
43792
43793
43794
43795
43796
43797
43798
43799
43800
43801
43802
43803
43804
43805
43806
43807
43808
43809
43810
43811
43812
43813
43814
43815
43816
43817
43818
43819
43820
43821
43822
43823
43824
43825
43826
43827
43828
43829
43830
43831
43832
43833
43834
43835
43836
43837
43838
43839
43840
43841
43842
43843
43844
43845
43846
43847
43848
43849
43850
43851
43852
43853
43854
43855
43856
43857
43858
43859
43860
43861
43862
43863
43864
43865
43866
43867
43868
43869
43870
43871
43872
43873
43874
43875
43876
43877
43878
43879
43880
43881
43882
43883
43884
43885
43886
43887
43888
43889
43890
43891
43892
43893
43894
43895
43896
43897
43898
43899
43900
43901
43902
43903
43904
43905
43906
43907
43908
43909
43910
43911
43912
43913
43914
43915
43916
43917
43918
43919
43920
43921
43922
43923
43924
43925
43926
43927
43928
43929
43930
43931
43932
43933
43934
43935
43936
43937
43938
43939
43940
43941
43942
43943
43944
43945
43946
43947
43948
43949
43950
43951
43952
43953
43954
43955
43956
43957
43958
43959
43960
43961
43962
43963
43964
43965
43966
43967
43968
43969
43970
43971
43972
43973
43974
43975
43976
43977
43978
43979
43980
43981
43982
43983
43984
43985
43986
43987
43988
43989
43990
43991
43992
43993
43994
43995
43996
43997
43998
43999
44000
44001
44002
44003
44004
44005
44006
44007
44008
44009
44010
44011
44012
44013
44014
44015
44016
44017
44018
44019
44020
44021
44022
44023
44024
44025
44026
44027
44028
44029
44030
44031
44032
44033
44034
44035
44036
44037
44038
44039
44040
44041
44042
44043
44044
44045
44046
44047
44048
44049
44050
44051
44052
44053
44054
44055
44056
44057
44058
44059
44060
44061
44062
44063
44064
44065
44066
44067
44068
44069
44070
44071
44072
44073
44074
44075
44076
44077
44078
44079
44080
44081
44082
44083
44084
44085
44086
44087
44088
44089
44090
44091
44092
44093
44094
44095
44096
44097
44098
44099
44100
44101
44102
44103
44104
44105
44106
44107
44108
44109
44110
44111
44112
44113
44114
44115
44116
44117
44118
44119
44120
44121
44122
44123
44124
44125
44126
44127
44128
44129
44130
44131
44132
44133
44134
44135
44136
44137
44138
44139
44140
44141
44142
44143
44144
44145
44146
44147
44148
44149
44150
44151
44152
44153
44154
44155
44156
44157
44158
44159
44160
44161
44162
44163
44164
44165
44166
44167
44168
44169
44170
44171
44172
44173
44174
44175
44176
44177
44178
44179
44180
44181
44182
44183
44184
44185
44186
44187
44188
44189
44190
44191
44192
44193
44194
44195
44196
44197
44198
44199
44200
44201
44202
44203
44204
44205
44206
44207
44208
44209
44210
44211
44212
44213
44214
44215
44216
44217
44218
44219
44220
44221
44222
44223
44224
44225
44226
44227
44228
44229
44230
44231
44232
44233
44234
44235
44236
44237
44238
44239
44240
44241
44242
44243
44244
44245
44246
44247
44248
44249
44250
44251
44252
44253
44254
44255
44256
44257
44258
44259
44260
44261
44262
44263
44264
44265
44266
44267
44268
44269
44270
44271
44272
44273
44274
44275
44276
44277
44278
44279
44280
44281
44282
44283
44284
44285
44286
44287
44288
44289
44290
44291
44292
44293
44294
44295
44296
44297
44298
44299
44300
44301
44302
44303
44304
44305
44306
44307
44308
44309
44310
44311
44312
44313
44314
44315
44316
44317
44318
44319
44320
44321
44322
44323
44324
44325
44326
44327
44328
44329
44330
44331
44332
44333
44334
44335
44336
44337
44338
44339
44340
44341
44342
44343
44344
44345
44346
44347
44348
44349
44350
44351
44352
44353
44354
44355
44356
44357
44358
44359
44360
44361
44362
44363
44364
44365
44366
44367
44368
44369
44370
44371
44372
44373
44374
44375
44376
44377
44378
44379
44380
44381
44382
44383
44384
44385
44386
44387
44388
44389
44390
44391
44392
44393
44394
44395
44396
44397
44398
44399
44400
44401
44402
44403
44404
44405
44406
44407
44408
44409
44410
44411
44412
44413
44414
44415
44416
44417
44418
44419
44420
44421
44422
44423
44424
44425
44426
44427
44428
44429
44430
44431
44432
44433
44434
44435
44436
44437
44438
44439
44440
44441
44442
44443
44444
44445
44446
44447
44448
44449
44450
44451
44452
44453
44454
44455
44456
44457
44458
44459
44460
44461
44462
44463
44464
44465
44466
44467
44468
44469
44470
44471
44472
44473
44474
44475
44476
44477
44478
44479
44480
44481
44482
44483
44484
44485
44486
44487
44488
44489
44490
44491
44492
44493
44494
44495
44496
44497
44498
44499
44500
44501
44502
44503
44504
44505
44506
44507
44508
44509
44510
44511
44512
44513
44514
44515
44516
44517
44518
44519
44520
44521
44522
44523
44524
44525
44526
44527
44528
44529
44530
44531
44532
44533
44534
44535
44536
44537
44538
44539
44540
44541
44542
44543
44544
44545
44546
44547
44548
44549
44550
44551
44552
44553
44554
44555
44556
44557
44558
44559
44560
44561
44562
44563
44564
44565
44566
44567
44568
44569
44570
44571
44572
44573
44574
44575
44576
44577
44578
44579
44580
44581
44582
44583
44584
44585
44586
44587
44588
44589
44590
44591
44592
44593
44594
44595
44596
44597
44598
44599
44600
44601
44602
44603
44604
44605
44606
44607
44608
44609
44610
44611
44612
44613
44614
44615
44616
44617
44618
44619
44620
44621
44622
44623
44624
44625
44626
44627
44628
44629
44630
44631
44632
44633
44634
44635
44636
44637
44638
44639
44640
44641
44642
44643
44644
44645
44646
44647
44648
44649
44650
44651
44652
44653
44654
44655
44656
44657
44658
44659
44660
44661
44662
44663
44664
44665
44666
44667
44668
44669
44670
44671
44672
44673
44674
44675
44676
44677
44678
44679
44680
44681
44682
44683
44684
44685
44686
44687
44688
44689
44690
44691
44692
44693
44694
44695
44696
44697
44698
44699
44700
44701
44702
44703
44704
44705
44706
44707
44708
44709
44710
44711
44712
44713
44714
44715
44716
44717
44718
44719
44720
44721
44722
44723
44724
44725
44726
44727
44728
44729
44730
44731
44732
44733
44734
44735
44736
44737
44738
44739
44740
44741
44742
44743
44744
44745
44746
44747
44748
44749
44750
44751
44752
44753
44754
44755
44756
44757
44758
44759
44760
44761
44762
44763
44764
44765
44766
44767
44768
44769
44770
44771
44772
44773
44774
44775
44776
44777
44778
44779
44780
44781
44782
44783
44784
44785
44786
44787
44788
44789
44790
44791
44792
44793
44794
44795
44796
44797
44798
44799
44800
44801
44802
44803
44804
44805
44806
44807
44808
44809
44810
44811
44812
44813
44814
44815
44816
44817
44818
44819
44820
44821
44822
44823
44824
44825
44826
44827
44828
44829
44830
44831
44832
44833
44834
44835
44836
44837
44838
44839
44840
44841
44842
44843
44844
44845
44846
44847
44848
44849
44850
44851
44852
44853
44854
44855
44856
44857
44858
44859
44860
44861
44862
44863
44864
44865
44866
44867
44868
44869
44870
44871
44872
44873
44874
44875
44876
44877
44878
44879
44880
44881
44882
44883
44884
44885
44886
44887
44888
44889
44890
44891
44892
44893
44894
44895
44896
44897
44898
44899
44900
44901
44902
44903
44904
44905
44906
44907
44908
44909
44910
44911
44912
44913
44914
44915
44916
44917
44918
44919
44920
44921
44922
44923
44924
44925
44926
44927
44928
44929
44930
44931
44932
44933
44934
44935
44936
44937
44938
44939
44940
44941
44942
44943
44944
44945
44946
44947
44948
44949
44950
44951
44952
44953
44954
44955
44956
44957
44958
44959
44960
44961
44962
44963
44964
44965
44966
44967
44968
44969
44970
44971
44972
44973
44974
44975
44976
44977
44978
44979
44980
44981
44982
44983
44984
44985
44986
44987
44988
44989
44990
44991
44992
44993
44994
44995
44996
44997
44998
44999
45000
45001
45002
45003
45004
45005
45006
45007
45008
45009
45010
45011
45012
45013
45014
45015
45016
45017
45018
45019
45020
45021
45022
45023
45024
45025
45026
45027
45028
45029
45030
45031
45032
45033
45034
45035
45036
45037
45038
45039
45040
45041
45042
45043
45044
45045
45046
45047
45048
45049
45050
45051
45052
45053
45054
45055
45056
45057
45058
45059
45060
45061
45062
45063
45064
45065
45066
45067
45068
45069
45070
45071
45072
45073
45074
45075
45076
45077
45078
45079
45080
45081
45082
45083
45084
45085
45086
45087
45088
45089
45090
45091
45092
45093
45094
45095
45096
45097
45098
45099
45100
45101
45102
45103
45104
45105
45106
45107
45108
45109
45110
45111
45112
45113
45114
45115
45116
45117
45118
45119
45120
45121
45122
45123
45124
45125
45126
45127
45128
45129
45130
45131
45132
45133
45134
45135
45136
45137
45138
45139
45140
45141
45142
45143
45144
45145
45146
45147
45148
45149
45150
45151
45152
45153
45154
45155
45156
45157
45158
45159
45160
45161
45162
45163
45164
45165
45166
45167
45168
45169
45170
45171
45172
45173
45174
45175
45176
45177
45178
45179
45180
45181
45182
45183
45184
45185
45186
45187
45188
45189
45190
45191
45192
45193
45194
45195
45196
45197
45198
45199
45200
45201
45202
45203
45204
45205
45206
45207
45208
45209
45210
45211
45212
45213
45214
45215
45216
45217
45218
45219
45220
45221
45222
45223
45224
45225
45226
45227
45228
45229
45230
45231
45232
45233
45234
45235
45236
45237
45238
45239
45240
45241
45242
45243
45244
45245
45246
45247
45248
45249
45250
45251
45252
45253
45254
45255
45256
45257
45258
45259
45260
45261
45262
45263
45264
45265
45266
45267
45268
45269
45270
45271
45272
45273
45274
45275
45276
45277
45278
45279
45280
45281
45282
45283
45284
45285
45286
45287
45288
45289
45290
45291
45292
45293
45294
45295
45296
45297
45298
45299
45300
45301
45302
45303
45304
45305
45306
45307
45308
45309
45310
45311
45312
45313
45314
45315
45316
45317
45318
45319
45320
45321
45322
45323
45324
45325
45326
45327
45328
45329
45330
45331
45332
45333
45334
45335
45336
45337
45338
45339
45340
45341
45342
45343
45344
45345
45346
45347
45348
45349
45350
45351
45352
45353
45354
45355
45356
45357
45358
45359
45360
45361
45362
45363
45364
45365
45366
45367
45368
45369
45370
45371
45372
45373
45374
45375
45376
45377
45378
45379
45380
45381
45382
45383
45384
45385
45386
45387
45388
45389
45390
45391
45392
45393
45394
45395
45396
45397
45398
45399
45400
45401
45402
45403
45404
45405
45406
45407
45408
45409
45410
45411
45412
45413
45414
45415
45416
45417
45418
45419
45420
45421
45422
45423
45424
45425
45426
45427
45428
45429
45430
45431
45432
45433
45434
45435
45436
45437
45438
45439
45440
45441
45442
45443
45444
45445
45446
45447
45448
45449
45450
45451
45452
45453
45454
45455
45456
45457
45458
45459
45460
45461
45462
45463
45464
45465
45466
45467
45468
45469
45470
45471
45472
45473
45474
45475
45476
45477
45478
45479
45480
45481
45482
45483
45484
45485
45486
45487
45488
45489
45490
45491
45492
45493
45494
45495
45496
45497
45498
45499
45500
45501
45502
45503
45504
45505
45506
45507
45508
45509
45510
45511
45512
45513
45514
45515
45516
45517
45518
45519
45520
45521
45522
45523
45524
45525
45526
45527
45528
45529
45530
45531
45532
45533
45534
45535
45536
45537
45538
45539
45540
45541
45542
45543
45544
45545
45546
45547
45548
45549
45550
45551
45552
45553
45554
45555
45556
45557
45558
45559
45560
45561
45562
45563
45564
45565
45566
45567
45568
45569
45570
45571
45572
45573
45574
45575
45576
45577
45578
45579
45580
45581
45582
45583
45584
45585
45586
45587
45588
45589
45590
45591
45592
45593
45594
45595
45596
45597
45598
45599
45600
45601
45602
45603
45604
45605
45606
45607
45608
45609
45610
45611
45612
45613
45614
45615
45616
45617
45618
45619
45620
45621
45622
45623
45624
45625
45626
45627
45628
45629
45630
45631
45632
45633
45634
45635
45636
45637
45638
45639
45640
45641
45642
45643
45644
45645
45646
45647
45648
45649
45650
45651
45652
45653
45654
45655
45656
45657
45658
45659
45660
45661
45662
45663
45664
45665
45666
45667
45668
45669
45670
45671
45672
45673
45674
45675
45676
45677
45678
45679
45680
45681
45682
45683
45684
45685
45686
45687
45688
45689
45690
45691
45692
45693
45694
45695
45696
45697
45698
45699
45700
45701
45702
45703
45704
45705
45706
45707
45708
45709
45710
45711
45712
45713
45714
45715
45716
45717
45718
45719
45720
45721
45722
45723
45724
45725
45726
45727
45728
45729
45730
45731
45732
45733
45734
45735
45736
45737
45738
45739
45740
45741
45742
45743
45744
45745
45746
45747
45748
45749
45750
45751
45752
45753
45754
45755
45756
45757
45758
45759
45760
45761
45762
45763
45764
45765
45766
45767
45768
45769
45770
45771
45772
45773
45774
45775
45776
45777
45778
45779
45780
45781
45782
45783
45784
45785
45786
45787
45788
45789
45790
45791
45792
45793
45794
45795
45796
45797
45798
45799
45800
45801
45802
45803
45804
45805
45806
45807
45808
45809
45810
45811
45812
45813
45814
45815
45816
45817
45818
45819
45820
45821
45822
45823
45824
45825
45826
45827
45828
45829
45830
45831
45832
45833
45834
45835
45836
45837
45838
45839
45840
45841
45842
45843
45844
45845
45846
45847
45848
45849
45850
45851
45852
45853
45854
45855
45856
45857
45858
45859
45860
45861
45862
45863
45864
45865
45866
45867
45868
45869
45870
45871
45872
45873
45874
45875
45876
45877
45878
45879
45880
45881
45882
45883
45884
45885
45886
45887
45888
45889
45890
45891
45892
45893
45894
45895
45896
45897
45898
45899
45900
45901
45902
45903
45904
45905
45906
45907
45908
45909
45910
45911
45912
45913
45914
45915
45916
45917
45918
45919
45920
45921
45922
45923
45924
45925
45926
45927
45928
45929
45930
45931
45932
45933
45934
45935
45936
45937
45938
45939
45940
45941
45942
45943
45944
45945
45946
45947
45948
45949
45950
45951
45952
45953
45954
45955
45956
45957
45958
45959
45960
45961
45962
45963
45964
45965
45966
45967
45968
45969
45970
45971
45972
45973
45974
45975
45976
45977
45978
45979
45980
45981
45982
45983
45984
45985
45986
45987
45988
45989
45990
45991
45992
45993
45994
45995
45996
45997
45998
45999
46000
46001
46002
46003
46004
46005
46006
46007
46008
46009
46010
46011
46012
46013
46014
46015
46016
46017
46018
46019
46020
46021
46022
46023
46024
46025
46026
46027
46028
46029
46030
46031
46032
46033
46034
46035
46036
46037
46038
46039
46040
46041
46042
46043
46044
46045
46046
46047
46048
46049
46050
46051
46052
46053
46054
46055
46056
46057
46058
46059
46060
46061
46062
46063
46064
46065
46066
46067
46068
46069
46070
46071
46072
46073
46074
46075
46076
46077
46078
46079
46080
46081
46082
46083
46084
46085
46086
46087
46088
46089
46090
46091
46092
46093
46094
46095
46096
46097
46098
46099
46100
46101
46102
46103
46104
46105
46106
46107
46108
46109
46110
46111
46112
46113
46114
46115
46116
46117
46118
46119
46120
46121
46122
46123
46124
46125
46126
46127
46128
46129
46130
46131
46132
46133
46134
46135
46136
46137
46138
46139
46140
46141
46142
46143
46144
46145
46146
46147
46148
46149
46150
46151
46152
46153
46154
46155
46156
46157
46158
46159
46160
46161
46162
46163
46164
46165
46166
46167
46168
46169
46170
46171
46172
46173
46174
46175
46176
46177
46178
46179
46180
46181
46182
46183
46184
46185
46186
46187
46188
46189
46190
46191
46192
46193
46194
46195
46196
46197
46198
46199
46200
46201
46202
46203
46204
46205
46206
46207
46208
46209
46210
46211
46212
46213
46214
46215
46216
46217
46218
46219
46220
46221
46222
46223
46224
46225
46226
46227
46228
46229
46230
46231
46232
46233
46234
46235
46236
46237
46238
46239
46240
46241
46242
46243
46244
46245
46246
46247
46248
46249
46250
46251
46252
46253
46254
46255
46256
46257
46258
46259
46260
46261
46262
46263
46264
46265
46266
46267
46268
46269
46270
46271
46272
46273
46274
46275
46276
46277
46278
46279
46280
46281
46282
46283
46284
46285
46286
46287
46288
46289
46290
46291
46292
46293
46294
46295
46296
46297
46298
46299
46300
46301
46302
46303
46304
46305
46306
46307
46308
46309
46310
46311
46312
46313
46314
46315
46316
46317
46318
46319
46320
46321
46322
46323
46324
46325
46326
46327
46328
46329
46330
46331
46332
46333
46334
46335
46336
46337
46338
46339
46340
46341
46342
46343
46344
46345
46346
46347
46348
46349
46350
46351
46352
46353
46354
46355
46356
46357
46358
46359
46360
46361
46362
46363
46364
46365
46366
46367
46368
46369
46370
46371
46372
46373
46374
46375
46376
46377
46378
46379
46380
46381
46382
46383
46384
46385
46386
46387
46388
46389
46390
46391
46392
46393
46394
46395
46396
46397
46398
46399
46400
46401
46402
46403
46404
46405
46406
46407
46408
46409
46410
46411
46412
46413
46414
46415
46416
46417
46418
46419
46420
46421
46422
46423
46424
46425
46426
46427
46428
46429
46430
46431
46432
46433
46434
46435
46436
46437
46438
46439
46440
46441
46442
46443
46444
46445
46446
46447
46448
46449
46450
46451
46452
46453
46454
46455
46456
46457
46458
46459
46460
46461
46462
46463
46464
46465
46466
46467
46468
46469
46470
46471
46472
46473
46474
46475
46476
46477
46478
46479
46480
46481
46482
46483
46484
46485
46486
46487
46488
46489
46490
46491
46492
46493
46494
46495
46496
46497
46498
46499
46500
46501
46502
46503
46504
46505
46506
46507
46508
46509
46510
46511
46512
46513
46514
46515
46516
46517
46518
46519
46520
46521
46522
46523
46524
46525
46526
46527
46528
46529
46530
46531
46532
46533
46534
46535
46536
46537
46538
46539
46540
46541
46542
46543
46544
46545
46546
46547
46548
46549
46550
46551
46552
46553
46554
46555
46556
46557
46558
46559
46560
46561
46562
46563
46564
46565
46566
46567
46568
46569
46570
46571
46572
46573
46574
46575
46576
46577
46578
46579
46580
46581
46582
46583
46584
46585
46586
46587
46588
46589
46590
46591
46592
46593
46594
46595
46596
46597
46598
46599
46600
46601
46602
46603
46604
46605
46606
46607
46608
46609
46610
46611
46612
46613
46614
46615
46616
46617
46618
46619
46620
46621
46622
46623
46624
46625
46626
46627
46628
46629
46630
46631
46632
46633
46634
46635
46636
46637
46638
46639
46640
46641
46642
46643
46644
46645
46646
46647
46648
46649
46650
46651
46652
46653
46654
46655
46656
46657
46658
46659
46660
46661
46662
46663
46664
46665
46666
46667
46668
46669
46670
46671
46672
46673
46674
46675
46676
46677
46678
46679
46680
46681
46682
46683
46684
46685
46686
46687
46688
46689
46690
46691
46692
46693
46694
46695
46696
46697
46698
46699
46700
46701
46702
46703
46704
46705
46706
46707
46708
46709
46710
46711
46712
46713
46714
46715
46716
46717
46718
46719
46720
46721
46722
46723
46724
46725
46726
46727
46728
46729
46730
46731
46732
46733
46734
46735
46736
46737
46738
46739
46740
46741
46742
46743
46744
46745
46746
46747
46748
46749
46750
46751
46752
46753
46754
46755
46756
46757
46758
46759
46760
46761
46762
46763
46764
46765
46766
46767
46768
46769
46770
46771
46772
46773
46774
46775
46776
46777
46778
46779
46780
46781
46782
46783
46784
46785
46786
46787
46788
46789
46790
46791
46792
46793
46794
46795
46796
46797
46798
46799
46800
46801
46802
46803
46804
46805
46806
46807
46808
46809
46810
46811
46812
46813
46814
46815
46816
46817
46818
46819
46820
46821
46822
46823
46824
46825
46826
46827
46828
46829
46830
46831
46832
46833
46834
46835
46836
46837
46838
46839
46840
46841
46842
46843
46844
46845
46846
46847
46848
46849
46850
46851
46852
46853
46854
46855
46856
46857
46858
46859
46860
46861
46862
46863
46864
46865
46866
46867
46868
46869
46870
46871
46872
46873
46874
46875
46876
46877
46878
46879
46880
46881
46882
46883
46884
46885
46886
46887
46888
46889
46890
46891
46892
46893
46894
46895
46896
46897
46898
46899
46900
46901
46902
46903
46904
46905
46906
46907
46908
46909
46910
46911
46912
46913
46914
46915
46916
46917
46918
46919
46920
46921
46922
46923
46924
46925
46926
46927
46928
46929
46930
46931
46932
46933
46934
46935
46936
46937
46938
46939
46940
46941
46942
46943
46944
46945
46946
46947
46948
46949
46950
46951
46952
46953
46954
46955
46956
46957
46958
46959
46960
46961
46962
46963
46964
46965
46966
46967
46968
46969
46970
46971
46972
46973
46974
46975
46976
46977
46978
46979
46980
46981
46982
46983
46984
46985
46986
46987
46988
46989
46990
46991
46992
46993
46994
46995
46996
46997
46998
46999
47000
47001
47002
47003
47004
47005
47006
47007
47008
47009
47010
47011
47012
47013
47014
47015
47016
47017
47018
47019
47020
47021
47022
47023
47024
47025
47026
47027
47028
47029
47030
47031
47032
47033
47034
47035
47036
47037
47038
47039
47040
47041
47042
47043
47044
47045
47046
47047
47048
47049
47050
47051
47052
47053
47054
47055
47056
47057
47058
47059
47060
47061
47062
47063
47064
47065
47066
47067
47068
47069
47070
47071
47072
47073
47074
47075
47076
47077
47078
47079
47080
47081
47082
47083
47084
47085
47086
47087
47088
47089
47090
47091
47092
47093
47094
47095
47096
47097
47098
47099
47100
47101
47102
47103
47104
47105
47106
47107
47108
47109
47110
47111
47112
47113
47114
47115
47116
47117
47118
47119
47120
47121
47122
47123
47124
47125
47126
47127
47128
47129
47130
47131
47132
47133
47134
47135
47136
47137
47138
47139
47140
47141
47142
47143
47144
47145
47146
47147
47148
47149
47150
47151
47152
47153
47154
47155
47156
47157
47158
47159
47160
47161
47162
47163
47164
47165
47166
47167
47168
47169
47170
47171
47172
47173
47174
47175
47176
47177
47178
47179
47180
47181
47182
47183
47184
47185
47186
47187
47188
47189
47190
47191
47192
47193
47194
47195
47196
47197
47198
47199
47200
47201
47202
47203
47204
47205
47206
47207
47208
47209
47210
47211
47212
47213
47214
47215
47216
47217
47218
47219
47220
47221
47222
47223
47224
47225
47226
47227
47228
47229
47230
47231
47232
47233
47234
47235
47236
47237
47238
47239
47240
47241
47242
47243
47244
47245
47246
47247
47248
47249
47250
47251
47252
47253
47254
47255
47256
47257
47258
47259
47260
47261
47262
47263
47264
47265
47266
47267
47268
47269
47270
47271
47272
47273
47274
47275
47276
47277
47278
47279
47280
47281
47282
47283
47284
47285
47286
47287
47288
47289
47290
47291
47292
47293
47294
47295
47296
47297
47298
47299
47300
47301
47302
47303
47304
47305
47306
47307
47308
47309
47310
47311
47312
47313
47314
47315
47316
47317
47318
47319
47320
47321
47322
47323
47324
47325
47326
47327
47328
47329
47330
47331
47332
47333
47334
47335
47336
47337
47338
47339
47340
47341
47342
47343
47344
47345
47346
47347
47348
47349
47350
47351
47352
47353
47354
47355
47356
47357
47358
47359
47360
47361
47362
47363
47364
47365
47366
47367
47368
47369
47370
47371
47372
47373
47374
47375
47376
47377
47378
47379
47380
47381
47382
47383
47384
47385
47386
47387
47388
47389
47390
47391
47392
47393
47394
47395
47396
47397
47398
47399
47400
47401
47402
47403
47404
47405
47406
47407
47408
47409
47410
47411
47412
47413
47414
47415
47416
47417
47418
47419
47420
47421
47422
47423
47424
47425
47426
47427
47428
47429
47430
47431
47432
47433
47434
47435
47436
47437
47438
47439
47440
47441
47442
47443
47444
47445
47446
47447
47448
47449
47450
47451
47452
47453
47454
47455
47456
47457
47458
47459
47460
47461
47462
47463
47464
47465
47466
47467
47468
47469
47470
47471
47472
47473
47474
47475
47476
47477
47478
47479
47480
47481
47482
47483
47484
47485
47486
47487
47488
47489
47490
47491
47492
47493
47494
47495
47496
47497
47498
47499
47500
47501
47502
47503
47504
47505
47506
47507
47508
47509
47510
47511
47512
47513
47514
47515
47516
47517
47518
47519
47520
47521
47522
47523
47524
47525
47526
47527
47528
47529
47530
47531
47532
47533
47534
47535
47536
47537
47538
47539
47540
47541
47542
47543
47544
47545
47546
47547
47548
47549
47550
47551
47552
47553
47554
47555
47556
47557
47558
47559
47560
47561
47562
47563
47564
47565
47566
47567
47568
47569
47570
47571
47572
47573
47574
47575
47576
47577
47578
47579
47580
47581
47582
47583
47584
47585
47586
47587
47588
47589
47590
47591
47592
47593
47594
47595
47596
47597
47598
47599
47600
47601
47602
47603
47604
47605
47606
47607
47608
47609
47610
47611
47612
47613
47614
47615
47616
47617
47618
47619
47620
47621
47622
47623
47624
47625
47626
47627
47628
47629
47630
47631
47632
47633
47634
47635
47636
47637
47638
47639
47640
47641
47642
47643
47644
47645
47646
47647
47648
47649
47650
47651
47652
47653
47654
47655
47656
47657
47658
47659
47660
47661
47662
47663
47664
47665
47666
47667
47668
47669
47670
47671
47672
47673
47674
47675
47676
47677
47678
47679
47680
47681
47682
47683
47684
47685
47686
47687
47688
47689
47690
47691
47692
47693
47694
47695
47696
47697
47698
47699
47700
47701
47702
47703
47704
47705
47706
47707
47708
47709
47710
47711
47712
47713
47714
47715
47716
47717
47718
47719
47720
47721
47722
47723
47724
47725
47726
47727
47728
47729
47730
47731
47732
47733
47734
47735
47736
47737
47738
47739
47740
47741
47742
47743
47744
47745
47746
47747
47748
47749
47750
47751
47752
47753
47754
47755
47756
47757
47758
47759
47760
47761
47762
47763
47764
47765
47766
47767
47768
47769
47770
47771
47772
47773
47774
47775
47776
47777
47778
47779
47780
47781
47782
47783
47784
47785
47786
47787
47788
47789
47790
47791
47792
47793
47794
47795
47796
47797
47798
47799
47800
47801
47802
47803
47804
47805
47806
47807
47808
47809
47810
47811
47812
47813
47814
47815
47816
47817
47818
47819
47820
47821
47822
47823
47824
47825
47826
47827
47828
47829
47830
47831
47832
47833
47834
47835
47836
47837
47838
47839
47840
47841
47842
47843
47844
47845
47846
47847
47848
47849
47850
47851
47852
47853
47854
47855
47856
47857
47858
47859
47860
47861
47862
47863
47864
47865
47866
47867
47868
47869
47870
47871
47872
47873
#LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 544
\begin_document
\begin_header
\save_transient_properties true
\origin unavailable
\textclass article
\use_default_options true
\maintain_unincluded_children false
\language english
\language_package default
\inputencoding auto
\fontencoding global
\font_roman "default" "default"
\font_sans "default" "default"
\font_typewriter "default" "default"
\font_math "auto" "auto"
\font_default_family default
\use_non_tex_fonts false
\font_sc false
\font_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
\use_microtype false
\use_dash_ligatures false
\graphics default
\default_output_format default
\output_sync 0
\bibtex_command default
\index_command default
\paperfontsize default
\spacing single
\use_hyperref true
\pdf_bookmarks true
\pdf_bookmarksnumbered false
\pdf_bookmarksopen true
\pdf_bookmarksopenlevel 0
\pdf_breaklinks true
\pdf_pdfborder true
\pdf_colorlinks true
\pdf_backref false
\pdf_pdfusetitle true
\pdf_quoted_options "linkcolor=blue,citecolor=blue,urlcolor=black"
\papersize default
\use_geometry false
\use_package amsmath 1
\use_package amssymb 1
\use_package cancel 1
\use_package esint 1
\use_package mathdots 1
\use_package mathtools 1
\use_package mhchem 1
\use_package stackrel 1
\use_package stmaryrd 1
\use_package undertilde 1
\cite_engine natbib
\cite_engine_type numerical
\biblio_style plainnat
\use_bibtopic false
\use_indices false
\paperorientation portrait
\suppress_date false
\justification true
\use_refstyle 1
\use_minted 0
\index Index
\shortcut idx
\color #008000
\end_index
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
\paragraph_indentation default
\is_math_indent 0
\math_numbering_side default
\quotes_style english
\dynamic_quotes 0
\papercolumns 1
\papersides 1
\paperpagestyle default
\tracking_changes false
\output_changes false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
\end_header

\begin_body

\begin_layout Section
Introduction
\end_layout

\begin_layout Standard

\emph on
Cpptraj
\emph default

\begin_inset CommandInset citation
LatexCommand citep
key "Roe13"
literal "true"

\end_inset

 (the successor to 
\emph on
ptraj
\emph default
) is the main program in Amber for processing coordinate trajectories and
 data files.
 
\shape italic
Cpptraj
\shape default
 has a wide range of functionality, and makes use of OpenMP/MPI to speed
 up many calculations, including processing ensembles of trajectories and/or
 conducting multiple analyses in parallel with MPI.
\begin_inset CommandInset citation
LatexCommand citep
key "Roe2018"
literal "true"

\end_inset


\end_layout

\begin_layout Standard
Here are several notable features of 
\emph on
cpptraj
\emph default
:
\end_layout

\begin_layout Enumerate
Trajectories with different topologies can be processed in the same run.
\end_layout

\begin_layout Enumerate
Several actions/analyses in 
\emph on
cpptraj
\emph default
 are OpenMP parallelized; see section 
\begin_inset CommandInset ref
LatexCommand ref
reference "subsec:CpptrajOpenMP"

\end_inset

 for more details.
\end_layout

\begin_layout Enumerate
Trajectory and ensemble reads can be MPI parallelized.
\end_layout

\begin_layout Enumerate
Almost any file read or written by 
\emph on
cpptraj
\emph default
 can be compressed (with the exception of the NetCDF trajectory format).
 So for example gzipped/bzipped topology files can be read, and data files
 can be written out as gzip/bzip2 files.
 Compression is detected automatically when reading, and is determined by
 the filename extension (.gz and .bz2 respectively) on writing.
\end_layout

\begin_layout Enumerate
The format of output data files can be specified by extension.
 For example, data files can be written in xmgrace format if the filename
 given has a '.agr' extension.
 A trajectory can be written in DCD format if the '.dcd' extension is used.
\end_layout

\begin_layout Enumerate
Multiple output trajectories can be specified, and can be written during
 action processing (as opposed to only after) via the 
\series bold
\shape italic
outtraj
\series default
\shape default
 command.
 In addition, output files can be directed to write only specific frames
 from the input trajectories.
\end_layout

\begin_layout Enumerate
Multiple reference structures can be specified.
 Specific frames from trajectories may be used as a reference structure.
\end_layout

\begin_layout Enumerate
The 
\series bold
\shape italic
rmsd
\series default
\shape default
 action allows specification of a separate mask for the reference structure.
 In addition, per-residue RMSD can be calculated easily.
 
\end_layout

\begin_layout Enumerate
Actions that modify coordinates and topology such as the 
\series bold
\shape italic
strip
\series default
\shape default
/
\series bold
\shape italic
closest
\series default
\shape default
 actions can often write an accompanying fully-functional stripped topology
 file.
 
\end_layout

\begin_layout Enumerate
Users usually are able to fine-tune the output format of data files declared
 in actions using the 
\begin_inset Quotes eld
\end_inset


\series bold
out
\series default

\begin_inset Quotes erd
\end_inset

 keyword (for example, the precision of the numbers can be changed).
 In addition, users can control which data sets are written to which files
 (e.g.
 if two actions specify the same data file with the 'out' keyword, data
 from both actions will be written to that data file).
\end_layout

\begin_layout Enumerate
Users can manipulate data sets using mathematical expressions (with some
 limitations), see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-Data-Set-Math"

\end_inset

 for details.
\end_layout

\begin_layout Enumerate
There is some support for creating internal loops over e.g.
 mask expressions and setting internal variables (see 
\series bold
\emph on
for
\series default
\emph default
, 
\series bold
\emph on
set
\series default
\emph default
, and 
\series bold
\emph on
show
\series default
\emph default
 commands).
\end_layout

\begin_layout Standard
See the README.md file in the 
\emph on
cpptraj
\emph default
 home directory for information on how to build, authors, and so on.
\end_layout

\begin_layout Subsection
Manual Syntax Format
\end_layout

\begin_layout Standard
The syntax presented in this manual uses the following conventions:
\end_layout

\begin_layout Description
<> Denotes a variable.
\end_layout

\begin_layout Description
[] Denotes something is optional.
\end_layout

\begin_layout Description
{|} Denotes several choices separated by the '|' character; one of the choices
 must be specified.
\end_layout

\begin_layout Description
...
 Denotes the preceding option can be repeated.
\end_layout

\begin_layout Standard
Everything else is as printed.
 
\end_layout

\begin_layout Subsection
Installation
\end_layout

\begin_layout Standard
See instructions in the CPPTRAJ GitHub repository README.md file under 'Installat
ion & Testing': 
\begin_inset Flex URL
status open

\begin_layout Plain Layout

https://github.com/Amber-MD/cpptraj
\end_layout

\end_inset


\end_layout

\begin_layout Section
Running Cpptraj
\end_layout

\begin_layout Standard

\shape italic
Cpptraj
\shape default
 can be run in either 
\begin_inset Quotes eld
\end_inset

interactive mode
\begin_inset Quotes erd
\end_inset

 or in 
\begin_inset Quotes eld
\end_inset

batch mode
\begin_inset Quotes erd
\end_inset

.
 
\end_layout

\begin_layout Subsection
Command Line Syntax
\end_layout

\begin_layout LyX-Code
cpptraj [-p <Top0>] [-i <Input0>] [-y <trajin>] [-x <trajout>]
\end_layout

\begin_layout LyX-Code
        [-ya <args>] [-xa <args>] [<file>]
\end_layout

\begin_layout LyX-Code
        [-c <reference>] [-d <datain>] [-w <dataout>] [-o <output>]
\end_layout

\begin_layout LyX-Code
        [-h | --help] [-V | --version] [--defines] [-debug <#>]
\end_layout

\begin_layout LyX-Code
        [--interactive] [--log <logfile>] [-tl]
\end_layout

\begin_layout LyX-Code
        [-ms <mask>] [-mr <mask>] [--mask <mask>] [--resmask <mask>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
        [--rng {marsaglia|stdlib|mt|pcg32|xo128}]
\end_layout

\begin_deeper
\begin_layout Standard

\series bold
*
\series default
 denotes a flag may be specified multiple times.
\end_layout

\begin_layout Description
-p
\begin_inset space ~
\end_inset

<Top0>* Load <Top0> as a topology file.
\end_layout

\begin_layout Description
-i
\begin_inset space ~
\end_inset

<Input0>* Read input from <Input0>.
\end_layout

\begin_layout Description
-y
\begin_inset space ~
\end_inset

<trajin>* Read from trajectory file <trajin>; same as input 'trajin <trajin>'.
\end_layout

\begin_layout Description
-x
\begin_inset space ~
\end_inset

<trajout>* Write trajectory file <trajout>; same as input 'trajout <trajout>'.
\end_layout

\begin_layout Description
-ya
\begin_inset space ~
\end_inset

<args>* Input trajectory file arguments.
\end_layout

\begin_layout Description
-xa
\begin_inset space ~
\end_inset

<args>* Output trajectory file arguments.
\end_layout

\begin_layout Description
<file>* A topology, input trajectory, or file containing cpptraj input.
\end_layout

\begin_layout Description
-c
\begin_inset space ~
\end_inset

<reference>* Read <reference> as reference coordinates; same as input 'reference
 <reference>'.
\end_layout

\begin_layout Description
-d
\begin_inset space ~
\end_inset

<datain>* Read data in from file <datain> ('readdata <datain>').
\end_layout

\begin_layout Description
-w
\begin_inset space ~
\end_inset

<dataout> Write data from <datain> as file <dataout> ('writedata <dataout>).
\end_layout

\begin_layout Description
-o
\begin_inset space ~
\end_inset

<output> Write CPPTRAJ STDOUT output to file <output>.
\end_layout

\begin_layout Description
-h
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

–help Print command line help and exit.
\end_layout

\begin_layout Description
-V
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

–version Print version and exit.
\end_layout

\begin_layout Description
–defines Print compiler defines and exit.
\end_layout

\begin_layout Description
-debug
\begin_inset space ~
\end_inset

<#> Set global debug level to <#>; same as input 'debug <#>'.
\end_layout

\begin_layout Description
–interactive Force interactive mode.
\end_layout

\begin_layout Description
–log
\begin_inset space ~
\end_inset

<logfile> Record commands to <logfile> (interactive mode only).
 Default is 'cpptraj.log'.
\end_layout

\begin_layout Description
-tl Print length of trajectories specified with '-y' to STDOUT.
 The total number of frames is written out as 'Frames: <X>'
\end_layout

\begin_layout Description
-ms
\begin_inset space ~
\end_inset

<mask> Print selected atom numbers to STDOUT.
 Selected atoms are written out as 'Selected= 1 2 3 ...'
\end_layout

\begin_layout Description
-mr <mask> : Print selected residue numbers to STDOUT.
 Selected residues are written out as 'Selected= 1 2 3 ...'
\end_layout

\begin_layout Description
–mask
\begin_inset space ~
\end_inset

<mask> Print detailed atom selection to STDOUT.
\end_layout

\begin_layout Description
–resmask <mask> : Print detailed residue selection to STDOUT.
\end_layout

\begin_layout Description
--rng <type> : Change default random number generator.
\end_layout

\end_deeper
\begin_layout Standard
Note that unlike 
\shape italic
ptraj
\shape default
, in 
\shape italic
cpptraj
\shape default
 it is not required that a topology file be specified on the command line
 as long as one is specified in the input file with the 'parm' keyword.
 Multiple topology/input files can be specified by use of multiple '-p'
 and '-i' flags.
 All topology and coordinate flags will be processed before any input flags.
\end_layout

\begin_layout Subsection
Commands
\end_layout

\begin_layout Standard
Input to 
\shape italic
cpptraj
\shape default
 is in the form of commands, which can be categorized in to 2 types: immediate
 and queued.
 Immediate commands are executed as soon as they are encountered.
 Queued commands are initialized when they are encountered, but are not
 executed until a Run is executed via a 
\series bold
\shape italic
run
\series default
\shape default
 or 
\series bold
\shape italic
go
\series default
\shape default
 command.
 Actions, Analyses, and Trajectory commands (except 
\series bold
\emph on
reference
\series default
\emph default
) are queued commands; however, they can also be run immediately via commands
 such as 
\series bold
\shape italic
crdaction
\series default
,
\shape default
 
\series bold
\shape italic
runanalysis
\series default
,
\shape default
 
\series bold
\emph on
loadcrd
\series default
\emph default
, etc.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:Coordinates-as-a"

\end_inset

 for more details.
\end_layout

\begin_layout Standard
Commands fall into seven categories:
\end_layout

\begin_layout Description
General (Immediate) These commands are executed immediately when entered.
\end_layout

\begin_layout Description
System (Immediate) These are unix system commands (e.g.
 'ls', 'pwd', etc).
\end_layout

\begin_layout Description
Coords (Immediate) These commands are used to manipulate COORDS data sets;
 see 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:Coordinates-as-a"

\end_inset

 for more details.
\end_layout

\begin_layout Description
Trajectory (Queued) These commands prepare cpptraj for reading or writing
 trajectories during a Run.
\end_layout

\begin_layout Description
Topology (Immediate) These commands are used to read, write, and modify
 topology information.
\end_layout

\begin_layout Description
Action (Queued) These commands specify actions that will be performed on
 coordinate frames read in from trajectories during a Run.
\end_layout

\begin_layout Description
Analysis (Queued) These commands specify analyses that will be performed
 on data that has been either generated from a Run or read in from an external
 source.
\end_layout

\begin_layout Description
Control (Immediate) These commands set up control blocks that can be used
 to e.g.
 loop over a set of commands.
\end_layout

\begin_layout Standard
In addition to normal commands, 
\emph on
cpptraj
\emph default
 now has the ability to perform certain basic math operations, even on data
 sets.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-Data-Set-Math"

\end_inset

 for more details.
\end_layout

\begin_layout Standard
Commands in 
\shape italic
cpptraj
\shape default
 can be read in from an input file or from the interactive command prompt.
 A '#' anywhere on a line denotes a comment; anything after '#' will be
 ignored no matter where it occurs.
 A '
\backslash
' allows the continuation of one line to another.
 For example, the input:
\end_layout

\begin_layout LyX-Code
# Sample input
\end_layout

\begin_layout LyX-Code
trajin mdcrd # This is a trajectory
\end_layout

\begin_layout LyX-Code
rms first out rmsd.dat 
\backslash

\end_layout

\begin_layout LyX-Code
    :1-10
\end_layout

\begin_layout Standard
Translates to:
\end_layout

\begin_layout LyX-Code
trajin mdcrd
\end_layout

\begin_layout LyX-Code
rms first out rmsd.dat :1-10
\end_layout

\begin_layout Subsection
Getting Help
\end_layout

\begin_layout Standard
If in interactive mode, 'help <command>' can be used to get the associated
 keywords as well as an abbreviated description of the command.
 Most commands have a corresponding test which also serves as an example
 of how to use the command.
 See $AMBERHOME/AmberTools/test/cpptraj/README for more details.
\end_layout

\begin_layout Subsection
Batch mode
\end_layout

\begin_layout Standard
In 
\begin_inset Quotes eld
\end_inset

batch
\begin_inset Quotes erd
\end_inset

 mode, cpptraj is executed from the command line with one or more input
 files containing commands to be processed or STDIN.
 The syntax of <input file> is similar to that of 
\shape italic
ptraj
\shape default
.
 Keywords specifying different commands are given one per line.
 Lines beginning with '#' are ignored as comments.
 Lines can also be continued through use of the '
\backslash
' character.
 This is the only allowed mode for cpptraj.MPI.
\end_layout

\begin_layout Subsection
Interactive mode
\end_layout

\begin_layout Standard
In 
\begin_inset Quotes eld
\end_inset

interactive mode
\begin_inset Quotes erd
\end_inset

 users can enter commands in a UNIX-like shell.
 Interactive mode is useful for running short and simple analyses or for
 trying out new kinds of analyses.
 If 
\emph on
cpptraj
\emph default
 is run with '–interactive', no arguments, or no specified input file:
\end_layout

\begin_layout LyX-Code
cpptraj
\end_layout

\begin_layout LyX-Code
cpptraj --interactive
\end_layout

\begin_layout LyX-Code
cpptraj <parm file>
\end_layout

\begin_layout LyX-Code
cpptraj -p <parm file>
\end_layout

\begin_layout Standard
this brings up the interactive interface.
 This interface supports command history (via the up and down arrows) and
 tab completion for commands and file names.
 If no log file name has been given (with '–log <logfile>'), all commands
 used in interactive mode will be logged to a file named 'cpptraj.log', which
 can subsequently be used as input if desired.
 When starting cpptraj, command histories will be read from any existing
 logs.
\end_layout

\begin_layout Subsection
Trajectory Processing 
\begin_inset Quotes eld
\end_inset

Run
\begin_inset Quotes erd
\end_inset


\end_layout

\begin_layout Standard
Like 
\shape italic
ptraj
\shape default
, a trajectory processing 
\begin_inset Quotes eld
\end_inset

Run
\begin_inset Quotes erd
\end_inset

 is one of the main ways to run 
\shape italic
cpptraj
\shape default
.
 First the Run is set up via commands read in from an input file or the
 interactive prompt.
 Trajectories are then read in one frame at a time (or in the case of ensemble
 processing all frames from a given step are read).
 Actions are performed on the coordinates stored in the frame, after which
 any output coordinates are written.
 At the end of the run, any data sets generated are written, and any queued
 Analyses are performed.
\end_layout

\begin_layout Subsubsection
Actions and multiple topologies
\end_layout

\begin_layout Standard
Since 
\emph on
cpptraj
\emph default
 supports multiple topology files, during a Run actions are set up every
 time the topology changes in order to recalculate things like what atoms
 are in a mask etc.
 Actions that are not valid for the current topology are skipped for that
 topology.
 So for example given two topology files with 100 residues, if the first
 topology file processed includes a ligand named MOL and the second one
 does not, the action:
\end_layout

\begin_layout LyX-Code
distance :80 :MOL out D_80-to-MOL.dat
\end_layout

\begin_layout Standard
will be valid for the first topology but not for the second, so it will
 be skipped as long as the second topology is active.
\end_layout

\begin_layout Subsection
Parallelization
\end_layout

\begin_layout Standard

\emph on
Cpptraj
\emph default
 has many levels of parallelization that can be enabled via the '-mpi',
 '-openmp', and/or '-cuda' configure flags for MPI, OpenMP, and CUDA paralleliza
tion respectively.
 At the highest level, trajectory and ensemble reads are parallelized with
 MPI.
 In addition, certain time consuming actions have been parallelized with
 OpenMP and/or CUDA.
\end_layout

\begin_layout Standard
Note that any combination of the '-openmp', '-cuda', and '-mpi' flags may
 be used to generate a hybrid MPI/OpenMP/CUDA binary; however this may require
 additional runtime setup (e.g.
 setting OMP_NUM_THREADS for OpenMP) to work properly and not oversubscribe
 cores.
\end_layout

\begin_layout Subsubsection
MPI Trajectory Parallelization
\begin_inset CommandInset label
LatexCommand label
name "subsec:CpptrajMPI"

\end_inset


\end_layout

\begin_layout Standard

\shape italic
Cpptraj
\shape default
 has two levels of MPI parallelization for reading input trajectories.
 The first is for '
\series bold
\emph on
trajin
\series default
\emph default
' trajectory input, where the trajectory read is divided as evenly as possible
 among all input frames (across-trajectory parallelism).
 For example, if given two trajectories of 1000 frames each and 4 MPI processes,
 process 0 reads frames 1-500 of trajectory 1, process 1 reads frames 501-1000
 of trajectory 1, process 2 reads frames 1-500 of trajectory 2, and process
 3 reads frames 501-1000 of trajectory 2.
 Most Actions will work with across-trajectory parallelization with the
 exception of the following:
\end_layout

\begin_layout Standard
'clusterdihedral', 'contacts', 'createreservoir', 'gist', 'lipidorder',
 'pairwise', 'stfcdiffusion', 'unwrap', and 'xtalsymm'.
 Note that 'diffusion' will only work with across-trajectory parallelism
 if no imaging is to be performed.
\end_layout

\begin_layout Standard

\shape italic
\emph on
The second is for 
\series bold
\emph default
'ensemble'
\series default
\shape default
 trajectory input, where the reading/processing/writing of each member of
 the ensemble is divided up among MPI processes.
 The number of MPI processes must be a multiple of the ensemble size.
 If the number of processes is greater than the ensemble size then the processin
g of each ensemble member will be divided among MPI processes (i.e.
 across-trajectory parallelism will be used).
 For example, given an ensemble of 4 trajectories and 8 processes, processes
 0 and 1 are assigned to the first ensemble trajectory, processes 2 and
 3 are assigned to the second ensemble trajectory, and so on.
 When using ensemble mode in parallel it is recommended that the 
\series bold
\emph on
ensemblesize
\series default
\emph default
 command be used prior to any ensemble command as this will make set up
 far more efficient.
\end_layout

\begin_layout Standard
In order to use the MPI version, Amber/
\emph on
cpptraj
\emph default
 should be configured with the '-mpi' flag.
 You can tell if 
\emph on
cpptraj
\emph default
 has been compiled with MPI as it will print 'MPI' in the title, and/or
 by calling 'cpptraj —defines' and looking for '-DMPI'.
 
\end_layout

\begin_layout Subsubsection
OpenMP Parallelization
\begin_inset CommandInset label
LatexCommand label
name "subsec:CpptrajOpenMP"

\end_inset


\end_layout

\begin_layout Standard
Some of the more time-consuming actions/analyses in 
\shape italic
cpptraj
\shape default
 have been parallelized with OpenMP to take advantage of machines with multiple
 cores.
 In order to use OpenMP parallelization Amber/
\emph on
cpptraj
\emph default
 should be configured with the '-openmp' flag.
 You can easily tell if 
\shape italic
cpptraj
\shape default
 has been compiled with OpenMP as it will print 'OpenMP' in the title, and/or
 by calling 'cpptraj —defines' and looking for '-D_OPENMP'.
 The following actions/analyses have been OpenMP parallelized:
\end_layout

\begin_layout LyX-Code
2drms/rms2d
\end_layout

\begin_layout LyX-Code
atomiccorr
\end_layout

\begin_layout LyX-Code
checkstructure
\end_layout

\begin_layout LyX-Code
closest
\end_layout

\begin_layout LyX-Code
cluster (pair-wise distance calculation and sieved frame restore only)
\end_layout

\begin_layout LyX-Code
dssp/secstruct
\end_layout

\begin_layout LyX-Code
energy
\end_layout

\begin_layout LyX-Code
gist (non-bonded calculation)
\end_layout

\begin_layout LyX-Code
hbond
\end_layout

\begin_layout LyX-Code
kde
\end_layout

\begin_layout LyX-Code
lipidscd
\end_layout

\begin_layout LyX-Code
mask (distance-based masks only)
\end_layout

\begin_layout LyX-Code
matrix (coordinate covariance matrices only)
\end_layout

\begin_layout LyX-Code
minimage
\end_layout

\begin_layout LyX-Code
radial
\end_layout

\begin_layout LyX-Code
replicatecell
\end_layout

\begin_layout LyX-Code
rmsavgcorr
\end_layout

\begin_layout LyX-Code
spam
\end_layout

\begin_layout LyX-Code
surf
\end_layout

\begin_layout LyX-Code
velocityautocorr
\end_layout

\begin_layout LyX-Code
volmap
\end_layout

\begin_layout LyX-Code
watershell
\end_layout

\begin_layout LyX-Code
wavelet
\end_layout

\begin_layout Standard
By default OpenMP 
\shape italic
cpptraj
\shape default
 will use all available cores.
 The number of OpenMP threads can be controlled by setting the OMP_NUM_THREADS
 environment variable.
\end_layout

\begin_layout Subsubsection
CUDA Parallelization
\end_layout

\begin_layout Standard
Some time-consuming actions in cpptraj have been parallelized with CUDA
 to take advantage of machines with NVIDIA GPUs.
 In order to use CUDA parallelization Amber/cpptraj should be configured
 with the '-cuda' flag.
 You can easily tell if cpptraj has been compiled with CUDA as it will print
 'CUDA' and details on the current graphics device in the title, and/or
 by calling 'cpptraj —defines' and looking for '-DCUDA'.
 The following actions have been CUDA parallelized:
\end_layout

\begin_layout LyX-Code
closest
\end_layout

\begin_layout LyX-Code
watershell
\end_layout

\begin_layout LyX-Code
gist
\end_layout

\begin_layout Section
General Concepts
\end_layout

\begin_layout Subsection
Units
\end_layout

\begin_layout Standard
Cpptraj uses the AKMA system of units.
 The execption is time, which is typically expressed in ps (except where
 noted).
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Variable
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Unit
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Length
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Angstrom
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Energy
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
kcal/mol
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Mass
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
AMU
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Charge
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
electron
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Time
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
ps (typically)
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Force
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
kcal/mol*Angstrom
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsection
Atom Mask Selection Syntax
\end_layout

\begin_layout Standard
The mask syntax is similar to 
\shape italic
ptraj
\shape default
.
 Note that the characters '
\family typewriter
:
\family default
', '
\family typewriter
@
\family default
', and '
\family typewriter
*
\family default
' are reserved for masks and should not be used in output file or data set
 names.
 All masks are case-sensitive.
 Either names or numbers can be used.
 Masks can contain ranges (denoted with '
\family typewriter
-
\family default
') and comma separated lists.
 The logical operands '
\family typewriter
&
\family default
' (and), '
\family typewriter
|
\family default
' (or), and '
\family typewriter
!
\family default
' (not) are also supported.
 
\end_layout

\begin_layout Standard
The syntax for elementary selections is the following:
\end_layout

\begin_layout Description
@{atom
\begin_inset space ~
\end_inset

numlist} e.g.
 '@12,17', '@54-85', '@12,54-85,90'
\end_layout

\begin_layout Description
@{atom
\begin_inset space ~
\end_inset

namelist} e.g.
 '@CA', '@CA,C,O,N,H'
\end_layout

\begin_layout Description
@%{atom
\begin_inset space ~
\end_inset

type
\begin_inset space ~
\end_inset

name} e.g.
 '@%CT'
\end_layout

\begin_layout Description
@/{atom_element_name} e.g.
 '@/N'
\end_layout

\begin_layout Description
:{residue
\begin_inset space ~
\end_inset

numlist} e.g.
 ':1-10', ':1,3,5', ':1-3,5,7-9'
\end_layout

\begin_layout Description
:{residue
\begin_inset space ~
\end_inset

namelist} e.g.
 ':LYS', ':ARG,ALA,GLY'
\end_layout

\begin_layout Description
::{chain
\begin_inset space ~
\end_inset

id} e.g.
 '::B', '::A,D'.
 Requires chain ID information be present in the topology.
\end_layout

\begin_layout Description
:;{pdb
\begin_inset space ~
\end_inset

residue
\begin_inset space ~
\end_inset

number} e.g.
 ':;2-4,8'.
 Requires a PDB loaded as topology, or Amber topology with embedded PDB
 information (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:parmed_addPDB"

\end_inset

).
\end_layout

\begin_layout Description
^{molecule
\begin_inset space ~
\end_inset

numlist} e.g.
 '^1-10', ':23,84,111'
\end_layout

\begin_layout Description
<mask><distance
\begin_inset space ~
\end_inset

op><distance> Selection by distance, see below.
\end_layout

\begin_layout Standard
Several wildcard characters are supported:
\end_layout

\begin_layout Description
'*' Zero or more characters.
\end_layout

\begin_layout Description
'=' Same as '*'
\end_layout

\begin_layout Description
'?' One character.
\end_layout

\begin_layout Standard
The wildcards can also be used with numbers or other mask characters, e.g.
 ':?0' means 
\begin_inset Quotes eld
\end_inset

:10,20,30,40,50,60,70,80,90
\begin_inset Quotes erd
\end_inset

, ':*' means all residues and '@*' means all atoms.
 If the atom name (or type name) contains a wildcard character like an asterisk,
 it can be explictly selected by escaping (i.e.
 preceding) the wildcard character with a backslash '
\backslash
'.
 So for example:
\end_layout

\begin_layout LyX-Code
atoms @C?*
\end_layout

\begin_layout Standard
would select atoms named C5, C4*, C422, etc., but:
\end_layout

\begin_layout LyX-Code
atoms @C?
\backslash
*
\end_layout

\begin_layout Standard
would only select C4* out of the above 3 atoms.
\end_layout

\begin_layout Standard
Compound expressions of the following type are allowed:
\end_layout

\begin_layout LyX-Code
:{residue numlist | namelist}@{atom namelist | numlist}
\end_layout

\begin_layout Standard
and are processed as: 
\end_layout

\begin_layout LyX-Code
:{residue numlist | namelist} & @{atom namelist | numlist}
\end_layout

\begin_layout Standard
e.g.
 ':1-10@CA' is equivalent to 
\begin_inset Quotes eld
\end_inset

:1-10 & @CA
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Standard
More examples: 
\end_layout

\begin_layout Description
:ALA,TRP All alanine and tryptophan residues.
 
\end_layout

\begin_layout Description
:5,10@CA CA carbon in residues 5 and 10.
\end_layout

\begin_layout Description
:*&!@H= All non-hydrogen atoms (equivalent to "!@H=").
 
\end_layout

\begin_layout Description
@CA,C,O,N,H All backbone atoms.
 
\end_layout

\begin_layout Description
!@CA,C,O,N,H All non-backbone atoms (=sidechains for proteins only).
 
\end_layout

\begin_layout Description
:1-500@O&!(:WAT|:LYS,ARG) All backbone oxygens in residues 1-500 but not
 in water, lysine or arginine residues.
\end_layout

\begin_layout Description
^1-2:ASP All residues named 'ASP' in the first two molecules.
\end_layout

\begin_layout Description
::A,D@CA All atoms named 'CA' in chains A and D.
\end_layout

\begin_layout Subsubsection*
Distance-based Masks
\end_layout

\begin_layout Standard
There are two very important things to keep in mind when using distance
 based masks:
\end_layout

\begin_layout Enumerate
Distance-based masks that update each frame are currently only supported
 by the 
\series bold
\shape italic
mask
\series default
\shape default
 action.
\end_layout

\begin_layout Enumerate
Selection by distance for everything but the 
\series bold
\shape italic
mask
\series default
\shape default
 action requires defining a reference frame with 
\series bold
\shape italic
reference
\series default
\shape default
; distances are then calculated using the 
\bar under
specified reference frame only
\bar default
.
 This reference frame can be changed using the 
\series bold
\emph on
activeref
\series default
\emph default
 command.
\end_layout

\begin_layout Standard
The syntax for selection by distance is a 
\series bold
<mask>
\series default
 expression followed by a 
\series bold
<distance operator>
\series default
 followed by a 
\series bold
<distance>
\series default
 (which is in Angstroms).
 The 
\series bold
<distance operator>
\series default
 consists of 2 characters: '
\series bold
<
\series default
' (within) or '
\series bold
>
\series default
' (without) followed by either '
\series bold
^
\series default
' (molecules), '
\series bold
:
\series default
' (residues), or '
\series bold
@
\series default
' (atoms).
 For example, '
\series bold
<:
\series default
3.0' means 
\begin_inset Quotes eld
\end_inset

residues within 3.0 Angstroms
\begin_inset Quotes erd
\end_inset

 etc.
 For residue- and molecule-based distance selection, if any atom in that
 residue/molecule matches the given distance criterion, the entire residue/molec
ule is selected.
\end_layout

\begin_layout Standard
In plain language, the entire distance mask can be read as 
\begin_inset Quotes eld
\end_inset

Select 
\series bold
<distance operator>
\series default
 
\series bold
<distance>
\series default
 of 
\series bold
<mask>
\series default

\begin_inset Quotes erd
\end_inset

.
 So for example, the mask expression:
\end_layout

\begin_layout LyX-Code
:11-17<@2.4
\end_layout

\begin_layout Standard
Means 
\begin_inset Quotes eld
\end_inset

Select atoms within 2.4 Å distance of atoms selected by ':11-17' (residues
 numbered 11 through 17)
\begin_inset Quotes erd
\end_inset

.
 
\end_layout

\begin_layout Standard
To strip everything outside 3.0 Å (i.e.
 without 3.0 Å) from residue 4 using specified reference coordinates:
\end_layout

\begin_layout LyX-Code
reference mol.rst7
\end_layout

\begin_layout LyX-Code
trajin mol.rst7
\end_layout

\begin_layout LyX-Code
strip !(:4<:3.0)
\end_layout

\begin_layout Subsection
Ranges
\end_layout

\begin_layout Standard
For several commands some arguments are ranges (e.g.
 'trajout onlyframes <range>', 'nastruct resrange <range>', 'rmsd perres
 range <range>'); 
\series bold
THESE ARE NOT ATOM MASKS
\series default
.
 They are simple number ranges using '-' to specify a range and ',' to separate
 different ranges.
 For example 1-2,4-6,9 specifies 1 to 2, 4 to 6, and 9, i.e.
 '1 2 4 5 6 9'.
\end_layout

\begin_layout Subsection
Parameter/Reference Tagging
\begin_inset CommandInset label
LatexCommand label
name "subsec:Parameter/Reference-Tagging"

\end_inset


\end_layout

\begin_layout Standard
Parameter and reference files may be 'tagged' (i.e.
 given a nickname); these tags can then be used in place of the file name
 itself.
 A tag in 
\shape italic
cpptraj
\shape default
 is recognized by being bounded by brackets ('[' and ']').
 This can be particularly useful when reading in many parameter or reference
 files.
 For example, when reading in multiple reference structures:
\end_layout

\begin_layout LyX-Code
trajin Test1.crd
\end_layout

\begin_layout LyX-Code
reference 1LE1.NoWater.Xray.rst7 [xray]
\end_layout

\begin_layout LyX-Code
reference Test1.crd lastframe [last]
\end_layout

\begin_layout LyX-Code
reference Test2.crd 225 [open]
\end_layout

\begin_layout LyX-Code
rms Xray ref [xray] :2-12@CA out rmsd.dat
\end_layout

\begin_layout LyX-Code
rms Last ref [last] :2-12@CA out rmsd.dat
\end_layout

\begin_layout LyX-Code
rms Open ref [open] :2-12@CA out rmsd.dat
\end_layout

\begin_layout Standard
This defines three reference structures and gives them tags [xray], [last],
 and [open].
 These reference structures can then be referred to by their tags instead
 of their filenames by any action that uses reference structures (in this
 case the RMSD action).
\end_layout

\begin_layout Standard
Similarly, this can be useful when reading in multiple parameter files:
\end_layout

\begin_layout LyX-Code
parm tz2.ff99sb.tip3p.truncoct.parm7 [tz2-water]
\end_layout

\begin_layout LyX-Code
parm tz2.ff99sb.mbondi2.parm7 [tz2-nowater]
\end_layout

\begin_layout LyX-Code
trajin tz2.run1.explicit.nc parm [tz2-water]
\end_layout

\begin_layout LyX-Code
reference tz2.dry.rst7 parm [tz2-nowater] [tz2]
\end_layout

\begin_layout LyX-Code
rms ref [tz2] !(:WAT) out rmsd.dat
\end_layout

\begin_layout Standard
This defines two parm files and gives them tags [tz2-water] and [tz2-nowater],
 then reads in a trajectory associated with one, and a reference structure
 associated with the other.
 Note that in the 'reference' command there are two tags; the first goes
 along with the 'parm' keyword and specifies what parameter file the reference
 should use, the second is the tag given to the reference itself (as in
 the previous example) and is referred to in the subsequent RMSD action.
\end_layout

\begin_layout Section
Variables and Control Structures
\end_layout

\begin_layout Standard
As of version 18, CPPTRAJ has limited support for 
\begin_inset Quotes eld
\end_inset

script
\begin_inset Quotes erd
\end_inset

 variables and 'for' loops.
 Script variables are referred to by a dollar sign ('$') prefix and are
 replaced when they are processed.
 These are stored in the master data set list like other data and are assigned
 the type 
\begin_inset Quotes eld
\end_inset

string variable
\begin_inset Quotes erd
\end_inset

.
 
\series bold
Note that to use script variables in CPPTRAJ input that is inside another
 script (e.g.
 a BASH script), they must be escaped with the '
\backslash
' character,
\series default
 e.g.
\end_layout

\begin_layout LyX-Code
#!/bin/bash
\end_layout

\begin_layout LyX-Code
TOP=MyTop.parm7
\end_layout

\begin_layout LyX-Code
cpptraj <<EOF
\end_layout

\begin_layout LyX-Code
set topname=$TOP # TOP is a BASH script variable
\end_layout

\begin_layout LyX-Code
parm 
\backslash
$topname   # topname is a CPPTRAJ script variable
\end_layout

\begin_layout LyX-Code
EOF
\end_layout

\begin_layout Standard
Note that regular CPPTRAJ 1D Data Sets that contain a single value can be
 used as script variables (if the Data Set contains more than 1 value only
 the first value will be used).
\end_layout

\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Command
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Description
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
for
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Create a 'for' loop.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
set
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Set or update a script variable.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
show
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Show all current script variables and their values.
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsection
for
\end_layout

\begin_layout LyX-Code
for { {atoms|residues|molecules|molfirstres|mollastres}
\end_layout

\begin_layout LyX-Code
	    <var> inmask <mask> [parm <name> | parmindex <#> | <#>] |
\end_layout

\begin_layout LyX-Code
      <var> in <list> |
\end_layout

\begin_layout LyX-Code
      <var> oversets <list> |
\end_layout

\begin_layout LyX-Code
      <var> datasetblocks <set> blocksize <#> [blockoffset <#>]
\end_layout

\begin_layout LyX-Code
        [cumulative [firstblock <#>]] |
\end_layout

\begin_layout LyX-Code
	  <var>=<start>;[<var><end OP><end>;]<var><increment OP>[<value>] ...
 }
\end_layout

\begin_layout LyX-Code
	END KEYWORD: 'done'
\end_layout

\begin_layout LyX-Code
  Available 'end OP'       : '<' '>' '<=' '>='
\end_layout

\begin_layout LyX-Code
  Available 'increment OP' : '++', '--', '+=', '-='
\end_layout

\begin_deeper
\begin_layout Description
atoms|residues|molecules|molfirstres|mollastres
\begin_inset space ~
\end_inset

<var>
\begin_inset space ~
\end_inset

inmask
\begin_inset space ~
\end_inset

<mask> Loop over atoms/residues/molecules/first residue in molecules/last
 residue in molecules selected by the given mask expression, set as script
 variable 
\series bold
<var>
\series default
.
\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

<#> Select topology that 
\series bold
<mask>
\series default
 should be based on (default first topology).
\end_layout

\end_deeper
\begin_layout Description
<var>
\begin_inset space ~
\end_inset

in
\begin_inset space ~
\end_inset

<list> Loop over a comma-separated list of strings.
 File name wildcards can be used.
\end_layout

\begin_layout Description
<var>
\begin_inset space ~
\end_inset

oversets
\begin_inset space ~
\end_inset

<list> Loop over sets selected by comma-separated list of names.
 Data set wildcards can be used.
\end_layout

\begin_layout Description
<var>
\begin_inset space ~
\end_inset

datasetblocks
\begin_inset space ~
\end_inset

<set> Loop over blocks in specified DataSet.
\end_layout

\begin_deeper
\begin_layout Description
blocksize
\begin_inset space ~
\end_inset

<#> Size of blocks to use.
\end_layout

\begin_layout Description
[blockoffset
\begin_inset space ~
\end_inset

<#>] Offset between blocks.
\end_layout

\begin_layout Description
[cumulative] Instead of blocks of fixed size, use blocks of increasing size
 incremented by blocksize.
\end_layout

\begin_deeper
\begin_layout Description
[firstblock
\begin_inset space ~
\end_inset

<#>] When cumulative, the size of the first block (default is first data
 set element).
\end_layout

\end_deeper
\end_deeper
\begin_layout Description
<var>=<start>;[<var><end
\begin_inset space ~
\end_inset

OP><end>;]<var><increment
\begin_inset space ~
\end_inset

OP>[<value>] Loop over integer script variable 
\series bold
<var>
\series default
 starting from 
\series bold
<start>
\series default
, optionally ending at 
\series bold
<end>
\series default
, increment by 
\series bold
<value>
\series default
.
\end_layout

\begin_layout Standard
Data Sets Created (datasetblocks loops):
\end_layout

\begin_layout Description
<var>[block]:<start
\begin_inset space \space{}
\end_inset

idx> (Data set blocks only) Data set block of blocksize starting at <start
 idx>.
\end_layout

\begin_layout Description
<var>[cumul]:<end
\begin_inset space ~
\end_inset

idx> (Cumulative data set blocks only) Data set block starting at firstblock
 and ending at <end idx>.
\end_layout

\end_deeper
\begin_layout Standard
Create a for loop using one or more mask expressions, integers, etc.
 Loops can be nested inside each other.
 Integer loops may be used without an end condition, but in that case at
 least one descriptor in the loop should have an end condition or refer
 to a mask.
 Loops are ended by the 
\series bold
done
\series default
 keyword.
 
\end_layout

\begin_layout Standard
Note that non-integer variables (e.g.
 'inmask' loops) are NOT incremented after the final loop iteration, i.e.
 these loop variables always retain their final value.
\end_layout

\begin_layout Standard
For example:
\end_layout

\begin_layout LyX-Code
for atoms A0 inmask :1-3@CA i=1;i++
\end_layout

\begin_layout LyX-Code
  distance d$i :TCS $A0 out $i.dat
\end_layout

\begin_layout LyX-Code
done
\end_layout

\begin_layout Standard
This loops over all atoms in the mask expression ':1-3@CA' (all atoms named
 CA in residues 1 to 3) and creates a variable named 'i' that starts from
 1 and is incremented by 1 each iteration.
 Inside the loop, the mask selection is referred to by 
\series bold
$A0
\series default
 and the integer by 
\series bold
$i
\series default
.
 This is equivalent to doing 3 distance commands like so:
\end_layout

\begin_layout LyX-Code
distance d1 :TCS :1@CA out 1.dat
\end_layout

\begin_layout LyX-Code
distance d2 :TCS :2@CA out 2.dat
\end_layout

\begin_layout LyX-Code
distance d3 :TCS :3@CA out 3.dat
\end_layout

\begin_layout Standard
To loop over files named trajA*.nc and trajB*.nc:
\end_layout

\begin_layout LyX-Code
for TRAJ in trajA*.nc,trajB*.nc
\end_layout

\begin_layout LyX-Code
  trajin $TRAJ 1 last 10
\end_layout

\begin_layout LyX-Code
done 
\end_layout

\begin_layout Subsection
set
\end_layout

\begin_layout LyX-Code
set { <variable> <OP> <value> | 	  
\end_layout

\begin_layout LyX-Code
      <variable> <OP> {atoms|residues|molecules|atomnums|
\end_layout

\begin_layout LyX-Code
	                   resnums|oresnums|molnums} inmask <mask>
\end_layout

\begin_layout LyX-Code
	    [parm <name> | crdset <set> | parmindex <#> | <#>]
\end_layout

\begin_layout LyX-Code
	  <variable> <OP> trajinframes }
\end_layout

\begin_layout LyX-Code
  Available <OP> : '=', '+='
\end_layout

\begin_deeper
\begin_layout Description
<variable>
\begin_inset space ~
\end_inset

<OP>
\begin_inset space ~
\end_inset

<value> Set or append a script variable.
\end_layout

\begin_layout Description
<variable>
\begin_inset space ~
\end_inset

<OP>
\begin_inset space ~
\end_inset

{atoms|residues|molecules|atomnums|resnums|oresnums|molnums}
\begin_inset space ~
\end_inset

inmask
\begin_inset space ~
\end_inset

<mask> Set/append a script variable to/by the total number of atoms/residues/mol
ecules or a range expression of selected atom #s/residue #s/original residue
 #s/molecule #s in the given mask expression.
\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#> Topology to which mask should correspond (default first).
\end_layout

\end_deeper
\begin_layout Description
<variable>
\begin_inset space ~
\end_inset

<OP>
\begin_inset space ~
\end_inset

trajinframes Set/append a script variable to/by the total number of frames
 in trajectories currently loaded by 
\series bold
\emph on
trajin
\series default
\emph default
 commands.
\end_layout

\end_deeper
\begin_layout Standard
Set (<OP> = '=') or append (<OP> = '+=') a script variable.
 Script variables are character strings, and are referred to in CPPTRAJ
 input by using a dollar sign '$' prefix.
\end_layout

\begin_layout Standard
For example, the following input will load files my.parm7 and my.rst7:
\end_layout

\begin_layout LyX-Code
set PREFIX = my
\end_layout

\begin_layout LyX-Code
trajin $PREFIX.parm7
\end_layout

\begin_layout LyX-Code
trajin $PREFIX.rst7
\end_layout

\begin_layout Standard
For example, the following input will print info for the last 10 atoms in
 a topology to 'last10.dat':
\end_layout

\begin_layout LyX-Code
set Natom = atoms inmask * 
\end_layout

\begin_layout LyX-Code
last10 = $Natom - 10
\end_layout

\begin_layout LyX-Code
show
\end_layout

\begin_layout LyX-Code
atoms "@$last10 - $Natom" out last10.dat
\end_layout

\begin_layout Standard
The following input will put a range of residues selected by :LYS:
\end_layout

\begin_layout LyX-Code
> set SELECTED1 = resnums inmask :LYS
\end_layout

\begin_layout LyX-Code
	Using topology: FtuFabI.NAD.TCL.parm7
\end_layout

\begin_layout LyX-Code
	Variable 'SELECTED1' set to '7-8,18,26,44,49,71,79,128,135,151,163,183,193,204-
205,217-218'
\end_layout

\begin_layout Subsection
show
\end_layout

\begin_layout LyX-Code
show [<var1> ...]
\end_layout

\begin_layout Standard
If no variable names specified, show all current script variables and their
 values.
 Otherwise, show the values of the specified script variables.
\end_layout

\begin_layout Section
Data Sets and Data Files
\end_layout

\begin_layout Standard
In 
\shape italic
cpptraj
\shape default
, Actions and Analyses can generate one or more data sets which are available
 for further processing.
 For example, the 
\series bold
\shape italic
distance
\series default
\shape default
 command creates a data set containing distances vs time.
 The data set can be named by the user simply by specifying a non-keyword
 string as an additional argument.
 If no name is given, a default one will be generated based on the action
 name and data set number.
 For example:
\end_layout

\begin_layout LyX-Code
distance d1-2 :1 :2 out d1-2.dat
\end_layout

\begin_layout Standard
will create a data set named 
\begin_inset Quotes eld
\end_inset

d1-2
\begin_inset Quotes erd
\end_inset

.
 If a name is not specified, e.g.:
\end_layout

\begin_layout LyX-Code
distance :1 :2 out d1-2.dat
\end_layout

\begin_layout Standard
the data set will be named 
\begin_inset Quotes eld
\end_inset

Dis_00000
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Standard
Data files are created automatically by most commands, usually via the 
\begin_inset Quotes eld
\end_inset


\series bold
out
\series default

\begin_inset Quotes erd
\end_inset

 keyword.
 Data files can also be explicitly created with the 
\series bold
\shape italic
write
\shape default
/
\shape italic
writedata
\series default
\shape default
 and 
\series bold
\shape italic
create
\series default
\shape default
 commands.
 Data can also be read in from files via the 
\series bold
\shape italic
readdata
\series default
\shape default
 command.
 Cpptraj currently recognizes the formats listed in 
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:cpptraj-DataFile-formats"

\end_inset

, although it cannot write in all formats.
 In addition, a data set must be valid for the data file format.
 For example, 3D data (such as a grid) can be written to an OpenDX format
 file but not a Grace format file.
 
\end_layout

\begin_layout Standard
The default file format is called 'Standard', which simply has data in columns,
 like 
\shape italic
ptraj
\shape default
, although multiple data sets can be directed to the same output file.
 The format of a file can be changed either by specifying a recognized keyword
 (either on the command line itself or later via a 'datafile' command) or
 by giving the file an extension corresponding to te format, so 'filename.agr'
 will output in Grace format, and 'filename.gnu' will output in Gnuplot contour,
 and so on.
 The xmgrace/gnuplot output is particularly nice for the secstruct sumout
 and rmsd perresout files.
 Additional options for data files can be found in 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:Datafile-Commands"

\end_inset

.
\end_layout

\begin_layout Standard
Any action using the 
\begin_inset Quotes eld
\end_inset

out
\begin_inset Quotes erd
\end_inset

 keyword will allow data sets from separate commands to be written into
 the same file.
 For example, the commands:
\end_layout

\begin_layout LyX-Code
dihedral phi :1@C :2@N :2@CA :2@C out phipsi.dat
\end_layout

\begin_layout LyX-Code
dihedral psi :2@N :2@CA :2@C :3@N out phipsi.dat
\end_layout

\begin_layout Standard
will assign the 
\begin_inset Quotes eld
\end_inset

phi
\begin_inset Quotes erd
\end_inset

 and 
\begin_inset Quotes eld
\end_inset

psi
\begin_inset Quotes erd
\end_inset

 data sets generated from each action to the standard data output file 
\begin_inset Quotes eld
\end_inset

phipsi.dat
\begin_inset Quotes erd
\end_inset

:
\end_layout

\begin_layout LyX-Code
#Frame   phi   psi
\end_layout

\begin_layout Standard
\begin_inset Float table
wide false
sideways false
status open

\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="16" columns="5">
<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="20text%">
<column alignment="center" valignment="top" width="20text%">
<column alignment="center" valignment="top" width="20text%">
<column alignment="center" valignment="top" width="20text%">
<column alignment="center" valignment="top" width="20text%">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Format
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Filename Extensions
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Keyword
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Valid Dimensions
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Notes
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Standard
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.dat
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
dat
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1D, 2D, 3D
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Grace
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.agr, .xmgr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
grace
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1D
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Gnuplot
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.gnu
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
gnu
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1D, 2D
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Xplor
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.xplor, .grid
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
xplor
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
3D
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
OpenDX
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.dx
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
opendx
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
3D
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Amber REM log
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.log
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
remlog
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Amber MDOUT
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.mdout
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
mdout
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Energy information, Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Amber Evecs
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.evecs
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
evecs
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Modes data set only
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Amber Constant pH output
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.cpout
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
cpout
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pH data only
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Density Peaks
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.peaks
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
peaks
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
3D density peaks (spam/volmap)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Vector pseudo-traj
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.vectraj
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
vectraj
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Vector data set only.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Write Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Gromacs XVG
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.xvg
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
xvg
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
CCP4
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.ccp4
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
ccp4
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
3D
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Charmm REPD log
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.exch
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
charmmrepd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Charmm Output
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.charmmout
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
charmmout
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Energy information, Read Only
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Plain Layout
\begin_inset Caption Standard

\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "tab:cpptraj-DataFile-formats"

\end_inset

DataFile formats recognized by 
\shape italic
cpptraj
\shape default
.
 'Valid Dimensions' shows what dimensions the format is valid for (e.g.
 you cannot write a 1D data set with OpenDX format).
\end_layout

\end_inset


\end_layout

\end_inset


\end_layout

\begin_layout Subsection
Data Set Selection Syntax
\end_layout

\begin_layout Standard
Many analysis commands can be used to analyze multiple data sets.
 The general format for selecting data sets is:
\end_layout

\begin_layout LyX-Code
<name>[<aspect>]:<index>
\end_layout

\begin_layout Standard
The '*' character can be used as a wild-card for 
\shape italic
entire
\shape default
 names (no partial matches).
\end_layout

\begin_layout Itemize

\series bold
<name>:
\series default
 The data set name, usually specified in the action (e.g.
 in 'distance d0 @1 @2' the data set name is 
\begin_inset Quotes eld
\end_inset

d0
\begin_inset Quotes erd
\end_inset

).
\end_layout

\begin_layout Itemize

\series bold
<aspect>:
\series default
 Optional; this is set for certain data sets internally in order to easily
 select subsets of data.
 
\series bold
The brackets are required
\series default
.
 For example, when using 'hbond series', both solute-solute and solute-solvent
 hydrogen bond time series may be generated.
 To select all solute-solute hydrogen bonds one would use the aspect 
\begin_inset Quotes eld
\end_inset

[solutehb]
\begin_inset Quotes erd
\end_inset

; to select solute-solvent hydrogen bonds the aspect 
\begin_inset Quotes eld
\end_inset

[solventhb]
\begin_inset Quotes erd
\end_inset

 would be used.
 Aspects are hard-coded and are listed in the commands that use them.
\end_layout

\begin_layout Itemize

\series bold
<index>:
\series default
 Optional; for actions that generate many data sets (such as 'rmsd perres')
 an index is used.
 Depending on the action, the index may correspond to atom #s, residue #s,
 etc.
 A number range (comma and/or dash separated) may be used.
\end_layout

\begin_layout Standard
For example: to select all data sets with aspect 
\begin_inset Quotes eld
\end_inset

[shear]
\begin_inset Quotes erd
\end_inset

 named NA_00000:
\end_layout

\begin_layout LyX-Code
NA_00000[shear]
\end_layout

\begin_layout Standard
To select all data sets with aspect 
\begin_inset Quotes eld
\end_inset

[stagger]
\begin_inset Quotes erd
\end_inset

 with any name, indices 1 and 3:
\end_layout

\begin_layout LyX-Code
*[stagger]:1,3
\end_layout

\begin_layout Standard
In ensemble mode, data set selection has additional syntax:
\end_layout

\begin_layout LyX-Code
<name>[<aspect>]:<index>%<member>
\end_layout

\begin_layout Standard
Where <member> is the ensemble member number starting from 0.
\end_layout

\begin_layout Subsection
Data Set Math
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-Data-Set-Math"

\end_inset


\end_layout

\begin_layout Standard
As of version 15, 
\emph on
cpptraj
\emph default
 can perform basic math operations, even on data sets (with some limitations).
 Currently recognized operations are:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Operation
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Symbol
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Minus
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Plus
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
+
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Divide
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
/
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Multiply
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
*
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Power
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
^
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Negate
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Assign
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
=
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Standard
Several functions are also supported:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Function
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Form
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Square Root
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
sqrt()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Exponential
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
exp()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Natural Logarithm
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
ln()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Absolute Value
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
abs()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Sine
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
sin()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Cosine
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
cos()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Tangent
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
tan()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Summation
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
sum()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Average
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
avg()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Standard Deviation
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
stdev()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Minimum
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
min()
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Maximum
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
max()
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Standard
Numbers can be expressed in scientific notation using 
\begin_inset Quotes eld
\end_inset

E
\begin_inset Quotes erd
\end_inset

 notation, e.g.
 1E-5 = 0.00001.
 The parser also recognizes PI as the number pi.
 Expressions can also be enclosed in parentheses.
 So for example, the following expression is valid:
\end_layout

\begin_layout LyX-Code
> 1 - ln(sin(PI/4) * 2)^2 
\end_layout

\begin_layout LyX-Code
Result: 0.879887
\end_layout

\begin_layout Standard
Results of numerical calculations like the above can be assigned to a variable
 (essentially a data set of size 1) for use in subsequent calculations,
 e.g.
\end_layout

\begin_layout LyX-Code
> R = 1 - ln(sin(PI/4) * 2)^2 
\end_layout

\begin_layout LyX-Code
Result stored in 'R' 
\end_layout

\begin_layout LyX-Code
> R + 1 Result: 1.879887
\end_layout

\begin_layout Standard
Data sets can be specified in expressions as well.
 Currently data sets in an expression must be of the same type and only
 1D, 2D, and 3D data sets are supported.
 Functions are applied to each member of the data set.
 So for example, given two 1D data sets of the same size named D0 and D1,
 the following expression:
\end_layout

\begin_layout LyX-Code
> D2 = sqrt( D0 ) + D1
\end_layout

\begin_layout Standard
would take the square root of each member of D0, add it to the corresponding
 member of D1, and assign the result to D2.
 The following table lists which operations are valid for data set types.
 If a type is not listed it is not supported:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="4">
<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="25text%">
<column alignment="center" valignment="top" width="25text%">
<column alignment="center" valignment="top" width="25text%">
<column alignment="center" valignment="top" width="25text%">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Data Set Type
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Supported Ops
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Supported Funcs
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Notes
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1D (integer, double, float)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
All
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
All
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1D (vector)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
+, -, *, /, =
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
None
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'*' is dot product
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2D (matrices)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
+, -, /, *, =
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
sum, avg, stdev, min, max
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
3D (grids)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
+, -, /, *, =
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
sum, avg, stdev, min, max
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Section
Data File Options
\begin_inset CommandInset label
LatexCommand label
name "sec:Datafile-Commands"

\end_inset


\end_layout

\begin_layout Standard
Data file output can be handled multiple ways in cpptraj.
 Output data files can be created by Actions/Analyses/Commands, or can be
 explicitly created with 
\series bold
\emph on
writedata
\series default
\emph default
 (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_writedata"

\end_inset

) or 
\series bold
\emph on
create
\series default
\emph default
 (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_create"

\end_inset

) commands.
 Reading data from files is only done via the 
\series bold
\emph on
readdata
\series default
\emph default
 command (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_readdata"

\end_inset

).
\end_layout

\begin_layout Standard
In general, data files which have been declared with an 
\series bold
'out'
\series default
 keyword will recognize data file write keywords on the same command line.
 For example, the 
\series bold
'time'
\series default
 argument can be passed directly to the output from a 
\series bold
\shape italic
distance
\series default
\shape default
 command:
\end_layout

\begin_layout LyX-Code
distance d0 :1 :2 out d0.agr time 0.001
\end_layout

\begin_layout Standard
The data file format can be changed from standard implicitly by using specific
 filename extensions or keywords.
 If the extension is not recognized or no keyword is give the default format
 is 'Standard'.
 Keywords and extensions for data file formats recognized by 
\shape italic
cpptraj
\shape default
 are shown in 
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:cpptraj-DataFile-formats"

\end_inset

.
 Note that the use of certain options may be restricted for certain data
 file formats.
 These options can also be passed to data files via the 
\series bold
\emph on
datafile
\series default
\emph default
 command (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_datafile_command"

\end_inset

).
\end_layout

\begin_layout LyX-Code
[<format keyword>]
\end_layout

\begin_layout LyX-Code
[{xlabel|ylabel|zlabel} <label>] [{xmin|ymin|zmin} <min>] [sort]
\end_layout

\begin_layout LyX-Code
[{xstep|ystep|zstep} <step>] [time <dt>] [prec <width>[.<precision>]]
\end_layout

\begin_layout LyX-Code
[xprec <width>[.<precision>]] [xfmt {double|scientific|general}]
\end_layout

\begin_layout LyX-Code
[noensextension]
\end_layout

\begin_deeper
\begin_layout Description
{xlabel
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ylabel
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

zlabel}
\begin_inset space ~
\end_inset

<label> Set the x-axis label for the specified datafile to <label>.
 For regular data files this is the header for the first column of data.
 If the data is at least 2-dimensional 'datafile ylabel <label>' will likewise
 set the y-axis label.
\end_layout

\begin_layout Description
{xmin
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ymin
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

zmin}
\begin_inset space ~
\end_inset

<min> Set the starting X coordinate value to <min>.
 If the data is at least 2-dimensional 'datafile ymin <min>' will likewise
 set the starting Y coordinate value.
\end_layout

\begin_layout Description
sort Sort data sets prior to write.
 Ordering is by name, aspect, then index (all descending).
\end_layout

\begin_layout Description
{xstep
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ystep
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

zstep}
\begin_inset space ~
\end_inset

<step> Multiply each frame number by <step> (x coordinates).
 If the data is at least 2-dimensional 'datafile ystep <step>' will likewise
 multiply y coordinates by <step>.
\end_layout

\begin_layout Description
time
\begin_inset space ~
\end_inset

<dt> Equivalent to the 
\shape italic
ptraj
\shape default
 argument 'time' that could be specified with many actions.
 Multiplies frame numbers (x-axis) by <dt>.
\end_layout

\begin_layout Description
prec
\begin_inset space ~
\end_inset

<width>[.<precision>] Change the output format width (and optionally precision)
 of all sets 
\shape italic
subsequently
\shape default
 added to the data file (i.e.
 does not change the precision of any data sets currently in the file).
 For example,
\end_layout

\begin_layout LyX-Code
prec 12.4
\end_layout

\begin_layout LyX-Code
prec 10
\end_layout

\begin_layout Description
xprec
\begin_inset space ~
\end_inset

<width>[.<precision>] Change output ordinate width and precision.
\end_layout

\begin_layout Description
xfmt
\begin_inset space ~
\end_inset

{double|scientific|general} Change output ordinate format.
\end_layout

\begin_layout Description
[noensextension] Omit ensemble extension in ensemble processing mode.
 
\series bold
NOTE: THIS OPTION HAS NOT BEEN FULLY TESTED IN PARALLEL.
\end_layout

\end_deeper
\begin_layout Subsection
Standard Data File Options
\end_layout

\begin_layout Subsubsection*
Write
\end_layout

\begin_layout LyX-Code
[invert] [noxcol] [groupby <type>] [noheader] [square2d|nosquare2d]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
[nosparse|sparse [cut <cutoff>]]
\end_layout

\begin_deeper
\begin_layout Description
invert Normally, data is written out with X-values pertaining to frames
 (i.e.
 data over all trajectories is printed in columns).
 This command flips that behavior so that X-values pertain to data sets
 (i.e.
 data over all trajectories is printed in rows).
\end_layout

\begin_layout Description
groupby
\begin_inset space ~
\end_inset

<type> (1D) group data sets by <type>:
\end_layout

\begin_deeper
\begin_layout Description
name Group by name.
\end_layout

\begin_layout Description
aspect Group by aspect.
\end_layout

\begin_layout Description
idx Group by index.
\end_layout

\begin_layout Description
ens Group by ensemble number.
\end_layout

\begin_layout Description
dim Group by dimension.
\end_layout

\end_deeper
\begin_layout Description
xcol Write indices for the specified datafile.
 This is usually the default behavior.
\end_layout

\begin_layout Description
noxcol Prevent printing of indices (i.e.
 the #Frame column in most datafiles) for the specified datafile.
 Useful e.g.
 if one would like a 2D plot such as phi vs psi.
 For example, given the input:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout LyX-Code
dihedral phi :1@C :2@N :2@CA :2@C out phipsi.dat
\end_layout

\begin_layout LyX-Code
dihedral psi :2@N :2@CA :2@C :3@N out phipsi.dat
\end_layout

\begin_layout LyX-Code
datafile phipsi.dat noxcol
\end_layout

\begin_layout Standard

\shape italic
Cpptraj
\shape default
 will write a 2 column datafile containing only phi and psi, no frame numbers
 will be written.
\end_layout

\end_deeper
\begin_layout Description
header Write header line at beginning of data file.
 This is usually the default behavior.
\end_layout

\begin_layout Description
noheader Prevent printing of header line (e.g.
 '#Frame
\begin_inset space ~
\end_inset


\begin_inset space ~
\end_inset


\begin_inset space ~
\end_inset


\begin_inset space ~
\end_inset

D1') at the beginning of data file.
\end_layout

\begin_layout Description
square2d Write 2D data as a square matrix, e.g.:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout LyX-Code
<1,1> <2,1> <3,1>
\end_layout

\begin_layout LyX-Code
<1,2> <2,2> <3,2>
\end_layout

\end_deeper
\begin_layout Description
nosquare2d Write 2D data in 3 columns as:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout LyX-Code
<X> <Y> <Value>
\end_layout

\end_deeper
\begin_layout Description
sparse Only write 3D grid voxels with value > cutoff (default 0).
\end_layout

\begin_deeper
\begin_layout Description
cut
\begin_inset space ~
\end_inset

<cut> Cutoff for 'sparse'; default 0.
\end_layout

\end_deeper
\begin_layout Description
nosparse Write all 3D voxels (default).
\end_layout

\end_deeper
\begin_layout LyX-Code

\end_layout

\begin_layout Subsubsection*
Read
\end_layout

\begin_layout LyX-Code
[prec {flt|dbl}]
\end_layout

\begin_layout LyX-Code
{[read1d [index <col>] [onlycols <range>] [floatcols <range>]
\end_layout

\begin_layout LyX-Code
         [intcols <range>] [stringcols <range>]] |
\end_layout

\begin_layout LyX-Code
 [read2d [{square2d|nosquare2d}]] |
\end_layout

\begin_layout LyX-Code
 [vector] |
\end_layout

\begin_layout LyX-Code
 [mat3x3] |
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
 [read3d [dims <nx>,<ny>,<nz>] [origin <ox>,<oy>,<oz>]
\end_layout

\begin_layout LyX-Code
         [delta <dx>,<dy>,dz>] [prec {dbl|flt}] [bin {center|corner} ]
\end_layout

\begin_layout LyX-Code
}
\end_layout

\begin_deeper
\begin_layout Description
prec
\begin_inset space ~
\end_inset

{flt|dbl} Read 2d/3d data as single (flt) or double (dbl, default) precision.
\end_layout

\begin_layout Description
read1d Read data as 1D data sets (default).
\end_layout

\begin_deeper
\begin_layout Description
index
\begin_inset space ~
\end_inset

<col> Use column <col> (starting from 1) as index column (1D data only).
\end_layout

\begin_layout Description
onlycols
\begin_inset space ~
\end_inset

<range> Only read columns in range.
\end_layout

\begin_layout Description
floatcols
\begin_inset space ~
\end_inset

<range> Force specified columns to be read as single-precision floats.
\end_layout

\begin_layout Description
intcols
\begin_inset space ~
\end_inset

<range> Force specified columns to be read as integers.
\end_layout

\begin_layout Description
stringcols
\begin_inset space ~
\end_inset

<range> Force specified columns to be read as strings.
\end_layout

\end_deeper
\begin_layout Description
read2d Read data as 2D matrix.
\end_layout

\begin_deeper
\begin_layout Description
square2d Read data as square matrix (default).
\end_layout

\begin_layout Description
nosquare2d Read data as XYZ matrix (i.e.
 each line contains '<column> <row> <data>').
\end_layout

\end_deeper
\begin_layout Description
vector Read data as vector.
 If indices are present they will be skipped.
 Assume first 3 columns after the index volumn are vector X, Y, and Z, and
 (if present) the next 3 columns contain vector origin X, Y, and Z.
\end_layout

\begin_layout Description
mat3x3 Read data as 3x3 matrix.
 If indices are present they will be skipped.
 Assume matrices are in row major order on each line, i.e.
 M(1,1) M(1,2) ...
 M(3,2) M(3,3).
\end_layout

\begin_layout Description
read3d Read data as 3D grid.
 If no dimension data in file must also speify 'dims'.
\end_layout

\begin_deeper
\begin_layout Description
dims
\begin_inset space ~
\end_inset

<dx>,<dy>,<dz> Grid dimensions.
\end_layout

\begin_layout Description
origin
\begin_inset space ~
\end_inset

<ox>,<oy>,<oz> Grid origins (default 0,0,0).
\end_layout

\begin_layout Description
delta
\begin_inset space ~
\end_inset

<dx>,<dy>,dz> Grid spacings (default 1,1,1).
\end_layout

\begin_layout Description
prec
\begin_inset space ~
\end_inset

{dbl|flt} Grid precision, double or float (default float).
\end_layout

\begin_layout Description
bin
\begin_inset space ~
\end_inset

{center|corner} Coords specify bin centers or corners (default corners).
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
By default, standard data files are assumed to contain 1D data in columns.
 Data set legends will be read in if the file has a header line (denoted
 by '#').
 Columns labeled '#Frame' are automatically considered the 'index' column
 and skipped.
 Data sets are stored as <name>:<idx> where <name> is the given data set
 name (the file name if not specified) and <idx> corresponds to the column
 the data was read from starting from 1.
 
\shape italic
Cpptraj
\shape default
 assumes the data increases monotonically and will automatically attempt
 to determine the dimensions of the data set(s); a warning will be printed
 if this is not successful.
\end_layout

\begin_layout Subsection
Grace Data File Options
\end_layout

\begin_layout Standard
For more information on Grace see 
\begin_inset CommandInset href
LatexCommand href
name "http://plasma-gate.weizmann.ac.il/Grace/"
target "http://plasma-gate.weizmann.ac.il/Grace/"
literal "false"

\end_inset

.
\end_layout

\begin_layout Subsubsection*
Write
\end_layout

\begin_layout LyX-Code
[{invert|noinvert}] [{xydy|noxydy}] [<label set>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
invert Normally, data is written out with X-values pertaining to frames
 (i.e.
 data over all trajectories is printed in columns).
 This command flips that behavior so that X-values pertain to data sets.
\end_layout

\begin_layout Description
noinvert Do not flip X-Y axes (default).
\end_layout

\begin_layout Description
xydy Combine consecutive pairs of sets into XYDY sets.
\end_layout

\begin_layout Description
noxydy Do not combine consecutuve pairs of sets into XYDY sets (default).
\end_layout

\begin_layout Description
<label
\begin_inset space ~
\end_inset

set> If a string dataset is specified, assume it has data point labels.
\end_layout

\end_deeper
\begin_layout Standard
If a single string data set is specified when writing Grace format, it is
 assumed they are data point labels.
\end_layout

\begin_layout Subsubsection*
Read
\end_layout

\begin_layout Standard
Cpptraj will read set legends from grace files, and data sets are stored
 as <name>:<idx> where <name> is the given data set name (the file name
 if not specified) and <idx> corresponds to the set number the data was
 read from starting from 0.
\end_layout

\begin_layout Subsection
Gnuplot Data File Options
\end_layout

\begin_layout Standard
For more information on these options it helps to look at the PM3D options
 in the Gnuplot manual (see 
\begin_inset CommandInset href
LatexCommand href
name "http://www.gnuplot.info/"
target "http://www.gnuplot.info/"
literal "false"

\end_inset

).
\end_layout

\begin_layout Subsubsection*
Write
\end_layout

\begin_layout LyX-Code
[{nolabels|labels}] [{usemap|pm3d|nopm3d}] [title <title>]
\end_layout

\begin_layout LyX-Code
[jpeg] [noheader] [{xlabels|ylabels|zlabels} <labellist>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
nolabels Do not print axis labels.
\end_layout

\begin_layout Description
labels Print axis labels.
\end_layout

\begin_layout Description
usemap pm3d output with 1 extra empty row/col (may improve look).
\end_layout

\begin_layout Description
pm3d Normal pm3d map output.
\end_layout

\begin_layout Description
nopm3d Turn off pm3d 
\end_layout

\begin_layout Description
jpeg Plot will write to a JPEG file when used with gnuplot.
\end_layout

\begin_layout Description
title
\begin_inset space ~
\end_inset

<title> Set plot title (default is file name).
\end_layout

\begin_layout Description
binary Plot will be written in binary format.
\end_layout

\begin_layout Description
header Format the plot so it can be directly processed by gnuplot.
 This is usually the default behavior.
\end_layout

\begin_layout Description
noheader Do not format plot; data output only.
\end_layout

\begin_layout Description
palette
\begin_inset space ~
\end_inset

<arg> Change gnuplot pm3d palette to <arg>:
\end_layout

\begin_deeper
\begin_layout Description
'rgb' Red, yellow, green, cyan, blue, magenta, red.
\end_layout

\begin_layout Description
'kbvyw' Black, blue, violet, yellow, white.
\end_layout

\begin_layout Description
'bgyr' Blue, green, yellow, red.
\end_layout

\begin_layout Description
'gray' Grayscale.
 
\end_layout

\end_deeper
\begin_layout Description
xlabels|ylabels|zlabels
\begin_inset space ~
\end_inset

<labellist> Set x, y, or z axis labels with comma-separated list, e.g.
 'xlabels X1,X2,X3'.
\end_layout

\end_deeper
\begin_layout Subsection
Amber REM Log Options
\end_layout

\begin_layout Standard
Note that multiple REM logs can be specified in a single 
\series bold
\shape italic
readdata
\series default
\shape default
 command.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-remlog"

\end_inset

 for more on replica log analysis.
\end_layout

\begin_layout Subsubsection*
Read
\end_layout

\begin_layout LyX-Code
[nosearch] [dimfile <file>] [crdidx <crd indices>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[nosearch] If specified do not automatically search for MREMD dimension
 logs.
\end_layout

\begin_layout Description
[dimfile
\begin_inset space ~
\end_inset

<file>] remd.dim file for processing MREMD logs.
\end_layout

\begin_layout Description
[crdidx
\begin_inset space ~
\end_inset

<crd
\begin_inset space ~
\end_inset

indices>] Use comma-separated list of indices as the initial coordinate
 indices (H-REMD only).
 For example (4 replicas):
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout LyX-Code
crdidx 4,2,3,1
\end_layout

\end_deeper
\end_deeper
\begin_layout Subsection
Amber MDOUT Options
\end_layout

\begin_layout Standard
Note that multiple MDOUT files can be specified in a single 
\series bold
\shape italic
readdata
\series default
\shape default
 command.
\end_layout

\begin_layout Subsection
Evecs File Options
\end_layout

\begin_layout Subsubsection*
Read
\end_layout

\begin_layout LyX-Code
[ibeg <firstmode>] [iend <lastmode>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
ibeg
\begin_inset space ~
\end_inset

<firstmode> Number of the first mode (or principal component) to read from
 evecs file.
 Default 1.
\end_layout

\begin_layout Description
iend
\begin_inset space ~
\end_inset

<lastmode> Number of the last mode (or principal component) to read from
 evecs file.
 Default is to read all for newer evecs files (generated by 
\shape italic
cpptraj
\shape default
 version > 12), 50 for older evecs files.
\end_layout

\end_deeper
\begin_layout Subsection
Vector psuedo-traj Options
\end_layout

\begin_layout Standard
This can be used to write out a representation of a vector data set which
 can then be visualized.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-vector"

\end_inset

 for more on generating vector data sets.
\end_layout

\begin_layout Subsubsection*
Write
\end_layout

\begin_layout LyX-Code
[trajfmt <format>] [parmout <file>] [noorigin]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
trajfmt
\begin_inset space ~
\end_inset

<format> Output pseudo-trajectory format.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "tab:cpptraj-trajformats"

\end_inset

 for trajectory format keywords.
\end_layout

\begin_layout Description
parmout
\begin_inset space ~
\end_inset

<file> File to write pseudo-trajectory topology to.
\end_layout

\begin_layout Description
[noorigin] Do not write vector origin coordinates.
\end_layout

\end_deeper
\begin_layout Subsection
OpenDX file options
\end_layout

\begin_layout Subsubsection*
Read
\end_layout

\begin_layout LyX-Code
[type {float|double}]
\end_layout

\begin_deeper
\begin_layout Description
type
\begin_inset space ~
\end_inset

{float|double} Precision to read in 3D grid (default float).
\end_layout

\end_deeper
\begin_layout Subsubsection*
Write
\end_layout

\begin_layout LyX-Code
[bincenter] [gridwrap] [gridext]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
bincenter Center grid points on bin centers instead of corners.
\end_layout

\begin_layout Description
gridwrap Like 
\series bold
'bincenter'
\series default
, but also wrap grid density.
 Useful when grid encompasses unit cell.
\end_layout

\begin_layout Description
gridext Like 
\series bold
'bincenter'
\series default
, but also print extra layer of empty bins.
\end_layout

\end_deeper
\begin_layout Subsection
CCP4 file options
\end_layout

\begin_layout Subsubsection*
Write
\end_layout

\begin_layout LyX-Code
[title <title>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[title
\begin_inset space ~
\end_inset

<title>] Set CCP4 output title.
\end_layout

\end_deeper
\begin_layout Subsection
Charmm REPD log options
\end_layout

\begin_layout Subsubsection*
Read
\end_layout

\begin_layout LyX-Code
[nrep <#>] [crdidx <crd indices>]
\end_layout

\begin_deeper
\begin_layout Description
nrep
\begin_inset space ~
\end_inset

<#> Total number of replicas.
\end_layout

\begin_layout Description
crdidx
\begin_inset space ~
\end_inset

<crd
\begin_inset space ~
\end_inset

indices> Comma-separated list of indices to use as initial coordinate indices.
\end_layout

\end_deeper
\begin_layout Subsection
Amber Constant pH Out options
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_cphdatafile"

\end_inset


\end_layout

\begin_layout Subsubsection*
Read
\end_layout

\begin_layout LyX-Code
cpin <file>
\end_layout

\begin_deeper
\begin_layout Description
cpin
\begin_inset space ~
\end_inset

<file> Constant pH input (CPIN) file name.
\end_layout

\end_deeper
\begin_layout Standard
Note that when reading in constant pH data the data set aspect will be set
 to the residue name and the index will be set to the residue number.
 When reading in constant pH REMD data the data is unsorted, and sortensembledat
a should be used to create sorted constant pH data sets (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_sortensembledata"

\end_inset

).
\end_layout

\begin_layout Section
Coordinates (COORDS) Data Set Commands
\begin_inset CommandInset label
LatexCommand label
name "sec:Coordinates-as-a"

\end_inset


\end_layout

\begin_layout Standard
Coordinate I/O tends to be the most time-consuming part of trajectory analysis.
 In addition, many types of analyses (for example two-dimensional RMSD and
 cluster analysis) require using coordinate frames multiple times.
 To simplify this, trajectory coordinates may be saved as a separate data
 set via the 
\series bold
\shape italic
loadcrd
\series default
\shape default
 command or 
\series bold
\shape italic
createcrd
\series default
\shape default
 action.
 Any action can then be performed on the COORDS data set with the 
\series bold
\shape italic
crdaction
\series default
\shape default
 command.
 The 
\series bold
\shape italic
crdout
\series default
\shape default
 command can be used to write coordinates to an output trajectory (similar
 to 
\series bold
\shape italic
trajout
\series default
\shape default
).
\end_layout

\begin_layout Standard
Although COORDS data sets store everything internally with single-precision,
 they can still use a large amount of memory.
 Because of this there is a specialized type of COORDS data set called a
 TRAJ data set (trajectory), which functions exactly like a COORDS data
 set except all data is stored on disk.
 TRAJ data sets can be created with the 
\series bold
\shape italic
loadtraj
\series default
\shape default
 command.
 
\emph on
TRAJ data sets cannot be modified.
\end_layout

\begin_layout Standard
There are several analyses that can be performed using COORDS data sets,
 either as part of the normal analysis list or via the 
\series bold
\shape italic
runanalysis
\series default
\shape default
 command.
 Note that while these analyses can be run on specified COORDS data sets,
 if one is not specified a default COORDS data set will be created, made
 up of frames from 
\series bold
\shape italic
trajin
\series default
\shape default
 commands.
\end_layout

\begin_layout Standard
As an example of where this might be useful is in the calculation of atomic
 positional fluctuations.
 Previously this required two steps: one to generate an average structure,
 then a second to rms-fit to that average structure prior to calculating
 the fluctuations.
 This can now be done in one pass with the following input:
\end_layout

\begin_layout LyX-Code
parm topology.parm7
\end_layout

\begin_layout LyX-Code
loadcrd mdcrd.nc
\end_layout

\begin_layout LyX-Code
# Generate average structure PDB, @CA only
\end_layout

\begin_layout LyX-Code
crdaction mdcrd.nc average avg.pdb @CA
\end_layout

\begin_layout LyX-Code
# Load average structure PDB as reference
\end_layout

\begin_layout LyX-Code
parm avg.pdb
\end_layout

\begin_layout LyX-Code
reference avg.pdb parm avg.pdb
\end_layout

\begin_layout LyX-Code
# RMS-fit to average structure PDB
\end_layout

\begin_layout LyX-Code
crdaction mdcrd.nc rms reference @CA
\end_layout

\begin_layout LyX-Code
# Calculate atomic fluctuations for @CA only
\end_layout

\begin_layout LyX-Code
crdaction mdcrd.nc atomicfluct out fluct.dat bfactor @CA
\end_layout

\begin_layout Standard
The following COORDS data set commands are available:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="14" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="25text%">
<column alignment="center" valignment="top" width="75text%">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Command
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Description
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
catcrd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Concatenate two or more COORDS sets.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
combinecrd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Combine two or more COORDS sets.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
crdaction
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Run a single Action on a COORDS set.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
crdout
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Write a COORDS set to a file.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
createcrd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
(Action) Create a COORDS set during a Run.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
emin
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Run simple energy minimization on a frame of a COORDS set.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
graft
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Graft part of one COORDS set onto another COORDS set.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
loadcrd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Create or append to a COORDS set from a file.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
loadtraj
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Create special COORDS set where frames remain on disk.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
permutedihedrals
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Rotate specified dihedral(s) in given COORDS set by specific interval or
 to random values.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
reference
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Load a single trajectory frame as a reference.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
rotatedihedral
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Rotate specified dihedral to specified value or by given increment.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
splitcoords
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Split molecules in a COORDS set into a trajectory.
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsection
catcrd
\end_layout

\begin_layout LyX-Code
catcrd <crd1> <crd2> ...
 name <name>
\end_layout

\begin_deeper
\begin_layout Description
<crdX> COORDS data sets to concatentate, specify 2 or more.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<name> New COORDS set name
\end_layout

\end_deeper
\begin_layout Standard
Concatentate two or more COORDS data sets into a single COORDS data set.
 The topologies must have the same number of atoms for this to work.
 If the topologies differ in other ways, the topology of the first COORDS
 set takes priority.
\end_layout

\begin_layout Subsection
combinecrd
\end_layout

\begin_layout LyX-Code
combinecrd <crd1> <crd2> ...
 [parmname <topname>] [crdname <crdname>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<crdX> COORDS data sets to combine, specify 2 or more.
\end_layout

\begin_layout Description
[parmname
\begin_inset space ~
\end_inset

<topname>] Name of combined Topology.
\end_layout

\begin_layout Description
[crdname
\begin_inset space ~
\end_inset

<crdname>] Name of combined COORDS data set.
\end_layout

\end_deeper
\begin_layout Standard
Combined two or more COORDS data sets into a single COORDS data set.
 Note that the resulting topology will most likely 
\series bold
not
\series default
 be usable for MD simulations.
 Box information will be retained - the largest box dimensions will be used.
\end_layout

\begin_layout Standard
For example, to load two MOL2 files as COORDS data sets, combine them, and
 write them out as a single MOL2:
\end_layout

\begin_layout LyX-Code
loadcrd Tyr.mol2 CRD1
\end_layout

\begin_layout LyX-Code
loadcrd Pry.mol2 CRD2
\end_layout

\begin_layout LyX-Code
combinedcrd CRD1 CRD2 parmname Parm-1-2 crdname CRD-1-2
\end_layout

\begin_layout LyX-Code
crdout CRD-1-2 Tyr.Pry.mol2
\end_layout

\begin_layout Subsection
crdaction
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_crdaction"

\end_inset


\end_layout

\begin_layout LyX-Code
crdaction <crd set> <actioncmd> [<action args>] [crdframes <start>,<stop>,<offse
t>]
\end_layout

\begin_layout Standard
Perform action <actioncmd> on COORDS data set <crd set>.
 A subset of frames in the COORDS data set can be specified with 'crdframes'.
\end_layout

\begin_layout Standard
For example, to calculate RMSD for a previously created COORDS data set
 named crd1 using frames 1 to the last, skipping every 10:
\end_layout

\begin_layout LyX-Code
crdaction crd1 rmsd first @CA out rmsd-ca.agr crdframes 1,last,10
\end_layout

\begin_layout Subsection
crdout
\end_layout

\begin_layout LyX-Code
crdout <crd set> <filename> [<trajout args>] [crdframes <start>,<stop>,<offset>]
\end_layout

\begin_layout Standard
Write COORDS data set <crd set> to trajectory named <filename>.
 A subset of frames in the COORDS data set can be specified with 'crdframes'.
\end_layout

\begin_layout Standard
For example, to write frames 1 to 10 from a previously created COORDS data
 set named 
\begin_inset Quotes eld
\end_inset

crd1
\begin_inset Quotes erd
\end_inset

 to separate PDB files:
\end_layout

\begin_layout LyX-Code
crdout crd1 crd1.pdb multi crdframes 1,10
\end_layout

\begin_layout Subsection
createcrd
\end_layout

\begin_layout Standard
This command is actually an Action that can be used to create COORDS data
 sets during trajectory processing, see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_createcrd"

\end_inset

.
\end_layout

\begin_layout Subsection
emin
\end_layout

\begin_layout LyX-Code
emin crdset <name> [trajoutname <name>] [rmstol <tol>] [nsteps <#>]
\end_layout

\begin_layout LyX-Code
 	[<mask>] [frame <#>] [dx0 <step0>] [out <file>]
\end_layout

\begin_layout LyX-Code
 	[{nonbond|openmm}] [<potential options>]
\end_layout

\begin_deeper
\begin_layout Description
crdset
\begin_inset space ~
\end_inset

<name> COORDS set to use.
\end_layout

\begin_layout Description
[trajoutname
\begin_inset space ~
\end_inset

<name>] Optional output trajectory for minimization steps.
\end_layout

\begin_layout Description
[rmstol
\begin_inset space ~
\end_inset

<tol>] Minimum RMS tolerance (default 1E-4).
\end_layout

\begin_layout Description
[nsteps
\begin_inset space ~
\end_inset

<#>] Number of minimization steps (default 1).
\end_layout

\begin_layout Description
[<mask>] Atoms to minimize (default all).
\end_layout

\begin_layout Description
[frame
\begin_inset space ~
\end_inset

<#>] Frame from COORDS set to minimize (default 1).
\end_layout

\begin_layout Description
[dx0
\begin_inset space ~
\end_inset

<step0>] Size of initial minimization step (default 0.01).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to write energies to.
\end_layout

\begin_layout Description
[nonbond] If specified, use simple nonbonded potential term in additon to
 bonded terms.
\end_layout

\begin_layout Description
[openmm] If specified and if CPPTRAJ was compiled with OpenMM support, use
 OpenMM to calculate the forces.
\end_layout

\begin_layout Standard
<potential options>
\end_layout

\begin_layout Description
cut
\begin_inset space ~
\end_inset

<cutoff> Set nonbonded interaction cutoff in Ang.
 (electrostatics and vdW).
 Default 8.0.
 
\end_layout

\begin_layout Description
nexclude
\begin_inset space ~
\end_inset

<#> Number of bonded atoms within which nonbonded interactions are excluded.
 Default 4.
\end_layout

\end_deeper
\begin_layout Standard
THIS COMMAND IS STILL IN DEVELOPMENT AS OF VERSION 5.0.2.
\end_layout

\begin_layout Standard
Perform steepest descent minimization on a frame in a COORDS set using a
 very basic force field (bonds, angles, dihedrals).
 A simple nonbonded term can be added as well if desired.
\end_layout

\begin_layout Subsection
graft
\end_layout

\begin_layout LyX-Code
graft src <source COORDS> [srcframe <#>] [srcfitmask <mask>] [srcmask <mask>]
\end_layout

\begin_layout LyX-Code
  	tgt <target COORDS> [tgtframe <#>] [tgtfitmask <mask>] [tgtmask <mask>]
\end_layout

\begin_layout LyX-Code
  	name <output COORDS> [bond <tgt>,<src> ...]
\end_layout

\begin_deeper
\begin_layout Description
src
\begin_inset space ~
\end_inset

<source
\begin_inset space ~
\end_inset

COORDS> Source coordinates.
\end_layout

\begin_layout Description
[srcframe
\begin_inset space ~
\end_inset

<#>] Frame # from source coordinates to use (default 1).
\end_layout

\begin_layout Description
[srcfitmask
\begin_inset space ~
\end_inset

<mask>] Atoms from source to use if RMS-fitting source onto target.
\end_layout

\begin_layout Description
[srcmask
\begin_inset space ~
\end_inset

<mask>] Atoms to keep from source (default all).
\end_layout

\begin_layout Description
tgt
\begin_inset space ~
\end_inset

<target
\begin_inset space ~
\end_inset

COORDS> Target coordinates that will be grafted onto.
\end_layout

\begin_layout Description
[tgtframe
\begin_inset space ~
\end_inset

<#> Frame # from target coordinates to use (default 1).
\end_layout

\begin_layout Description
[tgtfitmask
\begin_inset space ~
\end_inset

<mask>] Atoms from target to use if RMS-fitting source onto target.
\end_layout

\begin_layout Description
[tgtmask
\begin_inset space ~
\end_inset

<mask>] Atoms to keep from target (default all).
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<output
\begin_inset space ~
\end_inset

COORDS> Name of output COORDS set containing source grafted onto target.
\end_layout

\begin_layout Description
[bond
\begin_inset space ~
\end_inset

<tgt>,<src>] Create a bond between target atom selected by <tgt> and source
 atoms selected by <src> in the final structure.
 May be specified multiple times.
\end_layout

\end_deeper
\begin_layout Standard
Graft one COORDS set onto another.
 If 
\series bold
srcfitmask
\series default
 and/or 
\series bold
tgtfitmask
\series default
 is specified, the source coordinates will be RMS best-fit onto target using
 the specified atoms.
 Only the atoms specified by 
\series bold
srcmask
\series default
 and 
\series bold
tgtmask
\series default
 will be kept.
 The 
\series bold
bond
\series default
 keyword can be used to create bonds between target and source in the final
 structure.
\end_layout

\begin_layout Subsection
loadcrd
\end_layout

\begin_layout LyX-Code
loadcrd <filename> [parm <parm> | parmindex<#>] [<trajin args>] [name <name>]
\end_layout

\begin_layout Standard
Immediately load trajectory <filename> as a COORDS data set named <name>
 (default base name of <filename>).
 If <name> is already present the coordinates will be appended to the existing
 data set.
\end_layout

\begin_layout Standard
For example, to load frames from trajectories named 'traj1.nc' and 'traj2.nc'
 into a COORDS data set named Crd1:
\end_layout

\begin_layout LyX-Code
loadcrd traj1.nc name Crd1
\end_layout

\begin_layout LyX-Code
loadcrd traj2.nc name Crd2
\end_layout

\begin_layout Subsection
loadtraj
\end_layout

\begin_layout LyX-Code
loadtraj name <setname> [<filename>]
\end_layout

\begin_layout Standard
This command functions in two ways.
 If <filename> is not provided, all currently loaded input trajectories
 (from 
\series bold
\shape italic
trajin
\series default
\shape default
 commands) are added to TRAJ data set named <setname>.
 
\series bold
Note that if the input trajectory list is cleared (via 'clear trajin') this
 will invalidate the TRAJ data set.

\series default
 In addition, currently all trajectories must have the same number of atoms.
 Otherwise add trajectory <filename> to TRAJ data set <setname>.
\end_layout

\begin_layout Standard
TRAJ data sets cannot be modified.
\end_layout

\begin_layout Subsection
permutedihedrals
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_permutedihedrals"

\end_inset


\end_layout

\begin_layout LyX-Code
permutedihedrals crdset <COORDS set> resrange <range> [{interval | random}]
\end_layout

\begin_layout LyX-Code
             	[outtraj <filename> [<outfmt>]] [crdout <output COORDS>] 
\end_layout

\begin_layout LyX-Code
                 [<dihedral types>]
\end_layout

\begin_layout LyX-Code
  Options for 'random':
\end_layout

\begin_layout LyX-Code
	[rseed <rseed>] [out <# problems file> [<set name>]]
\end_layout

\begin_layout LyX-Code
	[ check [cutoff <cutoff>] [rescutoff <rescutoff>] [maxfactor <max_factor>]
\end_layout

\begin_layout LyX-Code
	 [backtrack <backtrack> [checkallresidues] [increment <increment>]] ]
\end_layout

\begin_layout LyX-Code
  Options for 'interval':
\end_layout

\begin_layout LyX-Code
	<interval deg>
\end_layout

\begin_layout LyX-Code
  <dihedral types> =  alpha beta gamma delta epsilon zeta nu1 nu2 h1p c2p
 chin 
\end_layout

\begin_layout LyX-Code
                      phi psi chip omega     
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
crdset
\begin_inset space ~
\end_inset

<COORDS
\begin_inset space ~
\end_inset

set> COORDS data set to operate on.
\end_layout

\begin_layout Description
resrange
\begin_inset space ~
\end_inset

<range> Residue range to search for dihedrals.
\end_layout

\begin_layout Description
interval Rotate found dihedrals by <interval>.
 This is done in an ordered fashion so that every combination of dihedral
 rotations is sampled at least once.
\end_layout

\begin_layout Description
random Rotate each found dihedral randomly.
\end_layout

\begin_layout Description
[outtraj
\begin_inset space ~
\end_inset

<filename>] Trajectory file to write coordinates to.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<outfmt>] Trajectory file format.
\end_layout

\end_deeper
\begin_layout Description
[crdout
\begin_inset space ~
\end_inset

<output
\begin_inset space ~
\end_inset

COORDS>] COORDS data set to write coordinates to.
\end_layout

\begin_layout Description
<dihedral
\begin_inset space ~
\end_inset

type> One or more dihedral types to search for.
\end_layout

\begin_layout Standard
Options for 'interval:
\end_layout

\begin_layout Description
<interval
\begin_inset space ~
\end_inset

deg> Amount to rotate dihedral by each step.
\end_layout

\begin_layout Standard
Options for 'random':
\end_layout

\begin_layout Description
[rseed
\begin_inset space ~
\end_inset

<rseed>] Random number seed.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<#
\begin_inset space ~
\end_inset

problems
\begin_inset space ~
\end_inset

file>] File to write number of problems (clashes) each frame to.
\end_layout

\begin_layout Description
[<set
\begin_inset space ~
\end_inset

name>] Number of problems data set name.
\end_layout

\begin_layout Description
[check] Check randomly rotated structure for clashes.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[cutoff
\begin_inset space ~
\end_inset

<cutoff>] Atom cutoff for checking for clashes (default 0.8 Å).
\end_layout

\begin_layout Description
[rescutoff
\begin_inset space ~
\end_inset

<cutoff>] Residue cutoff for checking for clashes (defualt 10.0 Å).
\end_layout

\begin_layout Description
[maxfactor
\begin_inset space ~
\end_inset

<max_factor>] The maximum number of total attempted rotations will be <max_facto
r> * <total # of dihedrals> (default 2).
\end_layout

\begin_layout Description
[backtrack
\begin_inset space ~
\end_inset

<backtrack>] (No longer recommended as of version 5.1.0).
 If a clash is encountered at dihedral N and cannot be resolved, go to dihedral
 N-<backtrack> to try and resolve the clash (default is no backtracking).
\end_layout

\begin_deeper
\begin_layout Description
[checkallresidues] If specified all residues checked for clashes, otherwise
 only residues up to the currently rotated dihedral check.
\end_layout

\begin_layout Description
[increment
\begin_inset space ~
\end_inset

<increment>] If a clash is encountered, first attempt to rotate dihedral
 by increment to resolve it; if it cannot be resolved by a full rotation
 the calculation will backtrack (default 1).
 
\end_layout

\end_deeper
\end_deeper
\end_deeper
\begin_layout Standard
Create a trajectory by rotating specified dihedrals in a structure by regular
 intervals (
\series bold
interval
\series default
), or create 1 structure by randomly rotating specified dihedrals (
\series bold
random
\series default
).
 When randomly rotating dihedrals steric clashes will be checked if 
\series bold
check
\series default
 is specified; in such cases the algorithm will attempt to resolve the clash
 as best it can.
 If clashes are not being resolved you can increase the number of rotation
 attempts 
\family typewriter
\shape italic
cpptraj
\family default
\shape default
 will make by increasing 
\series bold
maxfactor
\series default
.
\end_layout

\begin_layout Standard
For example, to rotate all backbone dihedrals in a protein with coordinates
 in a file named tz2.rst7 in -120 degree intervals and write the resulting
 trajectory in Amber format to rotations.mdcrd:
\end_layout

\begin_layout LyX-Code
reference tz2.rst7 [TZ2]
\end_layout

\begin_layout LyX-Code
permutedihedrals crdset [TZ2] interval -120 outtraj rotations.mdcrd phi psi
\end_layout

\begin_layout Standard
To randomly rotate backbone dihedrals for the same structure and write to
 file random.mol2 in MOL2 format:
\end_layout

\begin_layout LyX-Code
reference tz2.rst7 [TZ2]
\end_layout

\begin_layout LyX-Code
permutedihedrals crdset [TZ2] random rseed 1 check maxfactor 10 phi psi
 
\backslash

\end_layout

\begin_layout LyX-Code
                 outtraj random.mol2 multi
\end_layout

\begin_layout Subsection
reference
\end_layout

\begin_layout Standard
Reference coordinates can now be used and manipulated like COORDS data sets.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_reference"

\end_inset

 for command syntax.
\end_layout

\begin_layout Subsection
rotatedihedral
\end_layout

\begin_layout LyX-Code
rotatedihedral crdset <COORDS set> [frame <#>] [name <output set name>]
\end_layout

\begin_layout LyX-Code
               {value <value> | increment <increment>}
\end_layout

\begin_layout LyX-Code
               { <mask1> <mask2> <mask3> <mask4> |
\end_layout

\begin_layout LyX-Code
                 res <#> type <dih type> }
\end_layout

\begin_layout LyX-Code
<dih type> = alpha beta gamma delta epsilon zeta nu1 nu2 h1p c2p chin
\end_layout

\begin_layout LyX-Code
             phi psi chip omega
\end_layout

\begin_deeper
\begin_layout Description
crdset
\begin_inset space ~
\end_inset

<COORDS
\begin_inset space ~
\end_inset

set> Coordinates data set to work on.
 If a TRAJ data set is specified, 
\series bold
name
\series default
 must also be specified.
\end_layout

\begin_layout Description
[frame
\begin_inset space ~
\end_inset

<#>] Frame of the COORDS set to work on.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<output
\begin_inset space ~
\end_inset

set
\begin_inset space ~
\end_inset

name>] Output COORDS set.
 If not specified the input COORDS set will be modified.
\end_layout

\begin_layout Description
value
\begin_inset space ~
\end_inset

<value> Set specified dihedral to given value in degrees.
\end_layout

\begin_layout Description
increment
\begin_inset space ~
\end_inset

<increment> Increment specified dihedral by increment in degrees.
\end_layout

\begin_layout Description
<mask1>
\begin_inset space ~
\end_inset

<mask2>
\begin_inset space ~
\end_inset

<mask3>
\begin_inset space ~
\end_inset

<mask4> Define dihedral by atom masks.
 Each mask should only select one atom.
\end_layout

\begin_layout Description
res
\begin_inset space ~
\end_inset

<#> Rotate dihedral specified by type in residue number <#>.
\end_layout

\begin_layout Description
type
\begin_inset space ~
\end_inset

<dih
\begin_inset space ~
\end_inset

type> Dihedral type to rotate in specified residue.
\end_layout

\end_deeper
\begin_layout Standard
Rotate the specified dihedral in given COORDS set to a target value or by
 given increment.
 For example, to set the protein chi dihedral in residue 8 to 35 degrees
 and write out to a mol2 file:
\end_layout

\begin_layout LyX-Code
parm ../tz2.parm7
\end_layout

\begin_layout LyX-Code
loadcrd ../tz2.nc 1 1 name TZ2
\end_layout

\begin_layout LyX-Code
rotatedihedral crdset TZ2 value 35 res 8 type chip
\end_layout

\begin_layout LyX-Code
crdout TZ2 tz2.rotate.1.mol2
\end_layout

\begin_layout Subsection
splitcoords
\end_layout

\begin_layout LyX-Code
splitcoords <crd set> name <output set name>
\end_layout

\begin_deeper
\begin_layout Description
<crd
\begin_inset space ~
\end_inset

set> COORDS set to split.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<output
\begin_inset space ~
\end_inset

set
\begin_inset space ~
\end_inset

name> Name of new set to create.
\end_layout

\end_deeper
\begin_layout Standard
Split trajectory specified by <crd set> by molecule into a new COORDS set.
 All molecules in <crd set> must be the same size.
 For example, if there are 10 molecules and 10 frames in COORDS set 
\begin_inset Quotes eld
\end_inset

Set0
\begin_inset Quotes erd
\end_inset

, the following would create a new COORDS set with 100 frames (original
 molecules 1-10 frame 1, original molecules 1-10 frame 2, etc):
\end_layout

\begin_layout LyX-Code
splitcoords Set0 name Set0Split
\end_layout

\begin_layout Section
General Commands
\end_layout

\begin_layout Standard
The following general commands are available:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="34" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Command
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Description
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
activeref
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Select the reference for distance-based masks.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
calc
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Evaluate the given mathematical expression.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
clear
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Clear various objects from the cpptraj state.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
create
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Create (but do not yet write) a data file.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
createset
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Create a dataset from a simple mathematical expression.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
datafile
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Used to manipulate data files.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
datafilter
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Filter data sets based on given criteria.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
dataset
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Use to manipulate data sets.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
debug | prnlev
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Set debug level.
 Higher levels give more info.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
ensextension
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Enable/disable ensemble number extension for files in ensemble mode.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
exit | quit
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Quit cpptraj.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
flatten
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Distribute elements of 2d matrix across 1d array.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
go | run
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Start a trajectory processing Run.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
help
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Provide help for commands.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
list
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
List various objects in the cpptraj state.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
noexitonerror
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Attempt to continue even if errors are encountered.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
noprogress
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Do not print a progress bar during a Run.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
parallelanalysis
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
(MPI only) Divide current Analyses among MPI processes.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
precision
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Change the output precision of data sets.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
printdata
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print data set to screen.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
random
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Change default random number generator, create random sets.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
readdata
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read data sets from files.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
readensembledata
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read data files in ensemble mode.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
readinput
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read cpptraj input from a file.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
removedata
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Remove specified data set(s).
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
rst
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Generate Amber-style distance/angle/torsion restraints.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
runanalysis
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Run an analysis immediately or run all queued analyses.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
select
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print the results of an atom mask expression.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
selectds
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print the results of a data set selection expression.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
silenceactions
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Prevent Actions from writing information to STDOUT.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
sortensembledata
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Sort data sets using replica information (currently constant pH only).
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
usediskcache
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Turn caching of data sets to disk on or off.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
write | writedata
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Immediately write data to a file or write to all current data files.
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsection
activeref
\end_layout

\begin_layout LyX-Code
activeref
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
activeref
\end_layout

\end_inset

 <#>
\end_layout

\begin_layout Standard
Set which reference structure should be used when setting up distance-based
 masks for everything but the 'mask' action.
 Numbering starts from 0, so 'activeref 0' selects the first reference structure
 read in, 'activeref 1' selects the second, and so on.
\end_layout

\begin_layout Subsection
calc
\end_layout

\begin_layout LyX-Code
calc <expression>
\end_layout

\begin_layout LyX-Code
	[prec <width>.<precision>] [format {double|general|scientific}]
\end_layout

\begin_deeper
\begin_layout Description
<expression> Mathematical expression to evaluate.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-Data-Set-Math"

\end_inset

 for details.
\end_layout

\begin_layout Description
prec
\begin_inset space ~
\end_inset

<width>.<precision> Set the width and precision of the result.
\end_layout

\begin_layout Description
format
\begin_inset space ~
\end_inset

{double|general|scientific} Set the format of the result.
\end_layout

\end_deeper
\begin_layout Standard
Evaluate the given mathematical expression.
 This version gives more control over the format of the output.
\end_layout

\begin_layout Subsection
clear
\end_layout

\begin_layout LyX-Code
clear [{all | <type>}]
\end_layout

\begin_layout LyX-Code
      (<type> = actions,trajin,trajout,ref,parm,analysis,datafile,dataset)
\end_layout

\begin_layout Standard
Clear list of indicated type, or all lists if 'all' specified.
 Note that when clearing actions or analyses, associated data sets and data
 files are not cleared and vice versa.
\end_layout

\begin_layout Subsection
create
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_create"

\end_inset


\end_layout

\begin_layout LyX-Code
create
\begin_inset Index idx
status open

\begin_layout Plain Layout
create
\end_layout

\end_inset

 <filename> <datasetname0> [<datasetname1> ...] [<DataFile Options>]
\end_layout

\begin_layout Standard
Add specified data sets to the data file named <filename>; if the file does
 not exist, it will be added to the DataFileList.
 Data files created in this way are only written at the end of coordinate
 processing, analyses, or via the 
\series bold
\emph on
'writedata'
\series default
\emph default
 command.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:Datafile-Commands"

\end_inset

 for more data file format options.
\end_layout

\begin_layout Subsection
createset
\end_layout

\begin_layout LyX-Code
createset <expression> [xmin <min>] xstep <step> nx <nxvals>
\end_layout

\begin_deeper
\begin_layout Description
expression Simple mathematical expression, must contain equals sign, can
 contain X (e.g.
 Y=2*X).
 If not enclosed in quotes must not contain whitespace.
\end_layout

\begin_layout Description
xmin
\begin_inset space ~
\end_inset

<min> Minimum X value.
\end_layout

\begin_layout Description
xstep
\begin_inset space ~
\end_inset

<step> X step.
\end_layout

\begin_layout Description
nx
\begin_inset space ~
\end_inset

<nxvals> Number of X values.
\end_layout

\end_deeper
\begin_layout Standard
Generate a data set from a simple mathematical expression.
\end_layout

\begin_layout Subsection
datafile
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_datafile_command"

\end_inset


\end_layout

\begin_layout LyX-Code
datafile
\begin_inset Index idx
status open

\begin_layout Plain Layout
datafile
\end_layout

\end_inset

 <filename> <datafile arg>
\end_layout

\begin_layout Standard
Pass <datafile arg> to data file <filename>.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:Datafile-Commands"

\end_inset

 for more details.
\end_layout

\begin_layout Subsection
datafilter
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-datafilter"

\end_inset


\end_layout

\begin_layout LyX-Code
datafilter {<dataset arg> min <min> max <max> ...} [out <file>] [name <setname>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
           {[multi] | [filterset <set> [newset <newname>]] [countout <countfile>
]}
\end_layout

\begin_deeper
\begin_layout Description
<dataset
\begin_inset space ~
\end_inset

arg>
\begin_inset space ~
\end_inset

min
\begin_inset space ~
\end_inset

<min>
\begin_inset space ~
\end_inset

max
\begin_inset space ~
\end_inset

<max> Data set name and min/max cutoffs to use; can specify more than one.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] Write out to file named <file>.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<setname>] Name of filter data set containing 1 when cutoffs satisfied,
 0 otherwise.
\end_layout

\begin_layout Description
[multi] Filter each set separately instead of all together (creates filter
 set for each input set).
 Cannot be used with 'filterset'.
\end_layout

\begin_layout Description
[filterset
\begin_inset space ~
\end_inset

<set>] If specified, <set> will be filtered to only contain data that satisfies
 cutoffs.
 Cannot be used with 'multi'.
\end_layout

\begin_deeper
\begin_layout Description
[newset
\begin_inset space ~
\end_inset

<newname>] If specified a new set will be created from 'filterset' instead
 of replacing 'filterset'.
\end_layout

\end_deeper
\begin_layout Description
[countout
\begin_inset space ~
\end_inset

<count>] If specified, write number of elements passed and filtered to <countfil
e>.
 Cannot be used with 'multi'.
\end_layout

\begin_layout Standard
Sets Created (not 'multi')
\end_layout

\begin_layout Description
<setname> For each input element contains 1 for elements that 
\begin_inset Quotes eld
\end_inset

passed
\begin_inset Quotes erd
\end_inset

, 0 otherwise.
\end_layout

\begin_layout Description
<setname>[npassed] Number of elements that passed.
\end_layout

\begin_layout Description
<setname>[nfiltered] Number of elements filtered out.
\end_layout

\begin_layout Standard
Sets Created ('multi')
\end_layout

\begin_layout Description
<setname>:<idx> For each input set (number with <idx>, starting from 0)
 contains 1 for elements that 
\begin_inset Quotes eld
\end_inset

passed
\begin_inset Quotes erd
\end_inset

, 0 otherwise.
\end_layout

\end_deeper
\begin_layout Standard
Create a data set (optionally named <setname>) containing 1 for data within
 given 
\series bold
<min>
\series default
 and 
\series bold
<max>
\series default
 criteria for each specified data set.
 There must be at least one 
\series bold
<min>
\series default
 and 
\series bold
<max>
\series default
 argument, and can be as many as there are specified data sets.
 If 
\series bold
'multi'
\series default
 is specified then only filter data sets will be created for each data set
 instead.
 If 
\series bold
'filterset'
\series default
 is specified, the specified 
\series bold
<set>
\series default
 will be modified to only contain '1' frames; cannot be used with 
\series bold
'multi'
\series default
.
 If 
\series bold
'newset'
\series default
 is also specified, a new set will be created containing the '1' frames
 instead.
 The 'filterset' functionality only works for 1D scalar sets.
 If 
\series bold
'countout'
\series default
 is specified, the final number of elements passed and filtered out will
 be written to <countfile>.
\end_layout

\begin_layout Standard
For example, to read in data from two separate files (d1.dat and a1.dat) and
 generate a filter data set named FILTER having 1 when d1 is between 0.0
 and 3.0 and a1 is between 135.0 and 180.0:
\end_layout

\begin_layout LyX-Code
readdata a1.dat name a1
\end_layout

\begin_layout LyX-Code
readdata d1.dat name d1
\end_layout

\begin_layout LyX-Code
datafilter d1 min 0.0 max 3.0 a1 min 135.0 max 180.0 out filter.dat name FILTER
\end_layout

\begin_layout Standard
Note that a similar command that can be used with data generated by Actions
 during trajectory processing is 
\series bold
\shape italic
filter
\series default
\shape default
 (see page 
\begin_inset CommandInset ref
LatexCommand pageref
reference "subsec:cpptraj-filter"

\end_inset

).
\end_layout

\begin_layout Subsection
dataset
\end_layout

\begin_layout LyX-Code
dataset { legend <legend> <set> |
\end_layout

\begin_layout LyX-Code
          makexy <Xset> <Yset> [name <name>] |
\end_layout

\begin_layout LyX-Code
          vectorcoord {X|Y|Z} <set> [name <name>] |
\end_layout

\begin_layout LyX-Code
    	  cat <set0> <set1> ...
 [name <name>] [nooffset] |
\end_layout

\begin_layout LyX-Code
          make2d <1D set> cols <ncols> rows <nrows> [name <name>] |
\end_layout

\begin_layout LyX-Code
          {drop|keep}points {range <range arg> | [start <#>] [stop <#>]
 [offset <#>]}
\end_layout

\begin_layout LyX-Code
                   [name <output set>] <set arg1> ...
 |
\end_layout

\begin_layout LyX-Code
          remove <criterion> <select> <value> [and <value2>] [<set selection>]
 |
\end_layout

\begin_layout LyX-Code
          dim {xdim|ydim|zdim|ndim <#>} [label <label>] [min <min>] [step
 <step>] |
\end_layout

\begin_layout LyX-Code
          outformat {double|scientific|general} <set arg1> [<set arg 2>
 ...] |
\end_layout

\begin_layout LyX-Code
          invert <set arg0> ...
 name <new name> [legendset <set>] |
\end_layout

\begin_layout LyX-Code
          shift [above <value> by <offset>] [below <value> by <offset>]
 <set arg0> ...
\end_layout

\begin_layout LyX-Code
    	  [mode <mode>] [type <type>] <set arg1> [<set arg 2> ...]
\end_layout

\begin_layout LyX-Code
        }
\end_layout

\begin_layout LyX-Code
  <mode>:  'distance' 'angle' 'torsion' 'pucker' 'rms' 'matrix' 'vector'
\end_layout

\begin_layout LyX-Code
  <type>:  'alpha' 'beta' 'gamma' 'delta' 'epsilon' 'zeta' 'nu0' 'nu1' 'nu2'
 'nu3'
\end_layout

\begin_layout LyX-Code
           'nu4' 'h1p' 'c2p' 'chin' 'phi' 'psi' 'chip' 'omega' 'chi2' 'chi3'
 'chi4'
\end_layout

\begin_layout LyX-Code
           'chi5' 'pucker' 'noe' 'distance' 'covariance' 'mass-weighted
 covariance'
\end_layout

\begin_layout LyX-Code
           'correlation' 'distance covariance' 'IDEA' 'IRED' 'dihedral covarianc
e'
\end_layout

\begin_layout LyX-Code
	    Options for 'type noe':
\end_layout

\begin_layout LyX-Code
    	  [bound <lower> bound <upper>] [rexp <expected>] [noe_strong] [noe_medium]
\end_layout

\begin_layout LyX-Code
          [noe_weak]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[name
\begin_inset space ~
\end_inset

<name>] New data set name for 
\series bold
makexy
\series default
/
\series bold
vectorcoord/cat
\series default
/
\series bold
make2d
\series default
/
\series bold
droppoints
\series default
/
\series bold
keeppoints
\series default
.
\end_layout

\begin_layout Description
legend
\begin_inset space ~
\end_inset

<legend>
\begin_inset space ~
\end_inset

<set> Set the legend for data set <set> to <legend>.
\end_layout

\begin_layout Description
makexy
\begin_inset space ~
\end_inset

<Xset>
\begin_inset space ~
\end_inset

<Yset> Create a new data set (optionally named <name>) with X values from
 <Xset> and Y values from <Yset>.
\end_layout

\begin_layout Description
vectorcoord
\begin_inset space ~
\end_inset

{X|Y|Z}
\begin_inset space ~
\end_inset

<set> Extract X/Y/Z coordinates from vector data set into a new 1D data
 set.
\end_layout

\begin_layout Description
cat
\begin_inset space ~
\end_inset

<set0>
\begin_inset space ~
\end_inset

<set1>
\begin_inset space ~
\end_inset

...
 Concatenate two or more data sets into a new data set (optionally named
 <name>).
\end_layout

\begin_layout Description
make2d
\begin_inset space ~
\end_inset

<1D
\begin_inset space ~
\end_inset

set>
\begin_inset space ~
\end_inset

cols
\begin_inset space ~
\end_inset

<ncols>
\begin_inset space ~
\end_inset

rows
\begin_inset space ~
\end_inset

<nrows> Convert 1D data set into row-major 2D data set with specified number
 of rows and columns.
\end_layout

\begin_layout Description
{drop|keep}points
\begin_inset space ~
\end_inset

<set
\begin_inset space ~
\end_inset

arg1>
\begin_inset space ~
\end_inset

...
 Drop or keep specified points from data set(s), optionally creating a new
 data set.
\end_layout

\begin_deeper
\begin_layout Description
range
\begin_inset space ~
\end_inset

<range
\begin_inset space ~
\end_inset

arg> Range of points to drop/keep.
\end_layout

\begin_layout Description
[start
\begin_inset space ~
\end_inset

<#>]
\begin_inset space ~
\end_inset

[stop
\begin_inset space ~
\end_inset

<#>]
\begin_inset space ~
\end_inset

[offset
\begin_inset space ~
\end_inset

<#>] Start/stop/offset values of points to drop/keep.
\end_layout

\end_deeper
\begin_layout Description
remove
\begin_inset space ~
\end_inset

<criterion>
\begin_inset space ~
\end_inset

<select>
\begin_inset space ~
\end_inset

<value>
\begin_inset space ~
\end_inset

[and
\begin_inset space ~
\end_inset

<value2>]
\begin_inset space ~
\end_inset

[<set
\begin_inset space ~
\end_inset

selection>] Remove data sets from <set selection> according to specified
 criterion and selection.
\end_layout

\begin_layout LyX-Code
<criterion>:  'ifaverage' 'ifsize' 'ifmode' 'iftype'
\end_layout

\begin_layout LyX-Code
<select>   :  'equal' '==' 'notequal' '!=' 'lessthan' '<' 
\end_layout

\begin_layout LyX-Code
              'greaterthan' '>' 'between' 'outside'
\end_layout

\begin_layout Description
dim
\begin_inset space ~
\end_inset

{xdim|ydim|zdim|ndim
\begin_inset space ~
\end_inset

<#>} Change specified dimension in set(s).
\end_layout

\begin_deeper
\begin_layout Description
label
\begin_inset space ~
\end_inset

<label> Change dimension label to <label>
\end_layout

\begin_layout Description
min
\begin_inset space ~
\end_inset

<min> Change dimension minimum to <min>.
\end_layout

\begin_layout Description
step
\begin_inset space ~
\end_inset

<step> Change dimension step to <step>.
\end_layout

\end_deeper
\begin_layout Description
invert
\begin_inset space ~
\end_inset

<set
\begin_inset space ~
\end_inset

arg0>
\begin_inset space ~
\end_inset

...
\begin_inset space ~
\end_inset

name
\begin_inset space ~
\end_inset

<new
\begin_inset space ~
\end_inset

name>
\begin_inset space ~
\end_inset

[legendset
\begin_inset space ~
\end_inset

<set>]
\end_layout

\begin_deeper
\begin_layout Description
<set
\begin_inset space ~
\end_inset

arg0>
\begin_inset space ~
\end_inset

...
 Specify sets to invert.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<new
\begin_inset space ~
\end_inset

name> Inverted output set name.
\end_layout

\begin_layout Description
[legendset
\begin_inset space ~
\end_inset

<set>] String data set containing legends
\end_layout

\end_deeper
\begin_layout Description
shift
\begin_inset space ~
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[above
\begin_inset space ~
\end_inset

<value>
\begin_inset space ~
\end_inset

by
\begin_inset space ~
\end_inset

<offset>] Values in set(s) above <value> will be shifted by <offset>.
\end_layout

\begin_layout Description
[below
\begin_inset space ~
\end_inset

<value>
\begin_inset space ~
\end_inset

by
\begin_inset space ~
\end_inset

<offset>] Values in set(s) below <value> will be shifted by <offset>.
\end_layout

\begin_layout Description
<set
\begin_inset space ~
\end_inset

arg0>
\begin_inset space ~
\end_inset

...
 Set(s) to shift.
\end_layout

\end_deeper
\begin_layout Description
[mode
\begin_inset space ~
\end_inset

<mode>] Set data set(s) mode to <mode>.
\end_layout

\begin_layout Description
[type
\begin_inset space ~
\end_inset

<type>] Set data set(s) type to 'type', useful for e.g.
 analysis with 
\series bold
\shape italic
statistics
\series default
\shape default
.
 Note this can also be done with 'type <type>' for certain commands (
\series bold
\shape italic
distance
\series default
\shape default
, 
\series bold
\shape italic
dihedral
\series default
\shape default
, 
\series bold
\shape italic
pucker
\series default
\shape default
 etc).
 Note that not every <type> is compatible with a given <mode>.
\end_layout

\begin_layout Standard
Options for type noe only:
\end_layout

\begin_layout Description
[bound
\begin_inset space ~
\end_inset

<lower>
\begin_inset space ~
\end_inset

bound
\begin_inset space ~
\end_inset

<upper>] Lower and upper bounds for NOE (in Angstroms); must specify both.
\end_layout

\begin_layout Description
[rexp
\begin_inset space ~
\end_inset

<expected>] Expected value for NOE (in Angstroms); if not given '(<lower>
 + <upper>)' / 2.0 is used.
\end_layout

\begin_layout Description
[noe_strong] Set lower and upper bounds to 1.8 and 2.9 Å respectively.
\end_layout

\begin_layout Description
[noe_medium] Set lower and upper bounds to 2.9 and 3.5 Å respectively.
\end_layout

\begin_layout Description
[noe_weak] Set lower and upper bounds to 3.5 and 5.0 Å respectively.
\end_layout

\end_deeper
\begin_layout Standard
Either set the legend for a single data set, create a new set with X values
 from one set and Y values from another, concatenate 2 or more sets, make
 a 2D set from 1D set, remove sets according to a certain criterion, or
 change the mode/type for one or more data sets.
\end_layout

\begin_layout Standard
Setting the mode/type can be useful for cases where the data set is being
 read in from a file; for example when reading in a dihedral data set the
 type can be set to 'dihedral' so that various Analysis routines like 
\series bold
\shape italic
statistics
\series default
\shape default
 know to treat it as periodic.
 A brief description of possible modes and types follows:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="29" columns="3">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Mode
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Type
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Description
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
distance
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
noe
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
NOE distance.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
angle
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Angle.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
torsion
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
alpha
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic acid alpha.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
beta
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic acid beta.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
gamma
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic acid gamma.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
delta
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic acid delta.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
epsilon
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic acid epsilon.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
zeta
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic acid zeta.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
nu1
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic pucker (O4').
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
nu2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic pucker (C4').
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
h1p
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic acid H1'.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
c2p
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic acid C2'.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
chin
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Nucleic acid chi.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
phi
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Protein Phi.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
psi
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Protein psi.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
chip
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Protein chi.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
omega
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Protein omega.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pucker
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pucker
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Sugar pucker.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
rms
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
RMSD.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
matrix
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
distance
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Distance matrix.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
covariance
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Cartesian covariance matrix.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'mass-weighted covariance'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Mass weighted Cartesian covariance matrix.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
correlation
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Dynamic cross correlation matrix.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'distance covariance'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Distance covariance matrix.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
IDEA
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
IDEA matrix.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
IRED
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
IRED matrix.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'dihedral covariance'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Dihedral covariance matrix.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
vector
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
IRED
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
IRED vector.
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Standard
The invert mode takes a group of M 1D data sets of size N and create N new
 "inverted" data sets of size M.
 This is similar to the invert keyword already available for standard and
 Grace data writes, but operates directly on data sets.
 For example, given the following two data sets:
\end_layout

\begin_layout LyX-Code
D0 D1
\end_layout

\begin_layout LyX-Code
 1  4
\end_layout

\begin_layout LyX-Code
 2  5
\end_layout

\begin_layout LyX-Code
 3  6
\end_layout

\begin_layout Standard
The new data sets will be laid out like so:
\end_layout

\begin_layout LyX-Code
N0 N1 N2
\end_layout

\begin_layout LyX-Code
 1  2  3
\end_layout

\begin_layout LyX-Code
 4  5  6
\end_layout

\begin_layout Standard
The dataset invert command can be useful if you want to easily view output
 from multiple analysis commands in a single graph.
 For example, to view state counts from two different simulations side by
 side:
\end_layout

\begin_layout LyX-Code
calcstate name Sim1 state bound1,dist1,0.0,2.0
\end_layout

\begin_layout LyX-Code
calcstate name Sim2 state bound1,dist1,0.0,2.0
\end_layout

\begin_layout LyX-Code
runanalysis dataset invert Sim*[Count] name Inverted legendset Sim1[Name]
\end_layout

\begin_layout LyX-Code
dataset dim xdim label Simulation min 1 step 1 Inverted*
\end_layout

\begin_layout LyX-Code
writedata statecount.agr Inverted* 
\end_layout

\begin_layout Standard
The dataset shift command can be used for wrapping circular values, such
 as torsions.
 For example, to ensure a pucker has a range from 0 to 360 instead of -180
 to 180:
\end_layout

\begin_layout LyX-Code
pucker Furanoid @C2 @C3 @C4 @C5 @O2 cremer out CremerF.dat amplitude
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
dataset shift Furanoid below 0 by 360
\end_layout

\begin_layout Subsection
debug | prnlev
\end_layout

\begin_layout LyX-Code
debug
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
debug
\end_layout

\end_inset

 [<type>] <#>
\end_layout

\begin_layout LyX-Code
      (<type> = actions,trajin,trajout,ref,parm,analysis,datafile,dataset)
\end_layout

\begin_layout Standard
Set the level of debug information to print.
 In general the higher the <#> the more information that is printed.
 If <type> is specified only set the debug level for a specific area of
 
\shape italic
cpptraj.
\end_layout

\begin_layout Subsection
ensextension
\end_layout

\begin_layout LyX-Code
ensextension {on|off}
\end_layout

\begin_layout Standard
Turn printing of ensemble member number filename extensions on or off.
 By default ensemble extensions are printed in parallel and not in serial.
\end_layout

\begin_layout Standard

\series bold
NOTE: THE 'ensextension off' OPTION HAS NOT BEEN FULLY TESTED IN PARALLEL
 AND IS NOT CURRENTLY RECOMMENDED.
\end_layout

\begin_layout Subsection
exit | quit
\end_layout

\begin_layout Standard
Exit normally.
\end_layout

\begin_layout Subsection
flatten
\end_layout

\begin_layout LyX-Code
flatten name <output set name> [mode {sum|avg}] <input set args>
\end_layout

\begin_deeper
\begin_layout Description
name
\begin_inset space ~
\end_inset

<output
\begin_inset space ~
\end_inset

set
\begin_inset space ~
\end_inset

name> Name of 
\begin_inset Quotes eld
\end_inset

flattened
\begin_inset Quotes erd
\end_inset

 1D output set(s).
\end_layout

\begin_layout Description
mode
\begin_inset space ~
\end_inset

{sum|avg} If sum, matrix elements will be summed.
 If avg, matrix elements will be averaged.
\end_layout

\begin_layout Description
<input
\begin_inset space ~
\end_inset

set
\begin_inset space ~
\end_inset

args> Specify matrices to 
\begin_inset Quotes eld
\end_inset

flatten
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Standard
DataSets Created
\end_layout

\begin_layout Description
<output
\begin_inset space ~
\end_inset

set
\begin_inset space ~
\end_inset

name> Flattened 1D set if only one input matrix.
\end_layout

\begin_layout Description
<output
\begin_inset space ~
\end_inset

set
\begin_inset space ~
\end_inset

name>:<idx> Flattened 1D sets when more than one input matrix; index starts
 from 1.
\end_layout

\end_deeper
\begin_layout Standard
Flatten 1 or more matrices into 1D array(s) by summing or averaging elements.
 For example, given a matrix with values like this:
\end_layout

\begin_layout LyX-Code
X Y Value
\end_layout

\begin_layout LyX-Code
1 3 5.0
\end_layout

\begin_layout LyX-Code
1 4 4.0
\end_layout

\begin_layout LyX-Code
2 3 2.0
\end_layout

\begin_layout Standard
The 
\begin_inset Quotes eld
\end_inset

flattened
\begin_inset Quotes erd
\end_inset

 1D array with mode SUM would be determined as follows:
\end_layout

\begin_layout LyX-Code
Element 1 = (5.0/2) + (4.0/2) = 4.5
\end_layout

\begin_layout LyX-Code
Element 2 = (2.0/2) = 1.0
\end_layout

\begin_layout LyX-Code
Element 3 = (5.0/2) + (2.0/2) = 3.5
\end_layout

\begin_layout LyX-Code
Element 4 = (4.0/2) = 2.0
\end_layout

\begin_layout Standard
And the final 1D array would look like so:
\end_layout

\begin_layout LyX-Code
Index Value
\end_layout

\begin_layout LyX-Code
1     4.5
\end_layout

\begin_layout LyX-Code
2     1.0
\end_layout

\begin_layout LyX-Code
3     3.5
\end_layout

\begin_layout LyX-Code
4     2.0 
\end_layout

\begin_layout Subsection
go | run
\end_layout

\begin_layout Standard
Begin trajectory processing, followed by analysis and datafile write.
\end_layout

\begin_layout Subsection
help
\end_layout

\begin_layout LyX-Code
help
\begin_inset Index idx
status open

\begin_layout Plain Layout
help
\end_layout

\end_inset

 [ { All |
\end_layout

\begin_layout LyX-Code
	     <cmd> |
\end_layout

\begin_layout LyX-Code
 	    <command category> |
\end_layout

\begin_layout LyX-Code
 	    Form[ats] [{read|write}] |
\end_layout

\begin_layout LyX-Code
 	    Form[ats] [{trajin|trajout|readdata|writedata|parm|parmwrite} [<fmt
 key>]] |
\end_layout

\begin_layout LyX-Code
 	    Mask 	   } ]
\end_layout

\begin_layout LyX-Code
	Command Categories: Gen[eral] Sys[tem] Coor[ds] Traj[ectory] Top[ology]
\end_layout

\begin_layout LyX-Code
	                    Act[ion] Ana[lysis] Con[trol]
\end_layout

\begin_layout LyX-Code
  All                : Print all known commands.
\end_layout

\begin_layout LyX-Code
  <cmd>              : Print help for command <cmd>.
\end_layout

\begin_layout LyX-Code
  <command category> : Print all commands in specified category.
\end_layout

\begin_layout LyX-Code
  Form[ats]          : Help for file formats.
\end_layout

\begin_layout LyX-Code
  Mask               : Help for mask syntax.
\end_layout

\begin_layout Standard
If 'All' is specifed, list all commands known to 
\shape italic
cpptraj
\shape default
.
 If given with a command, print help for that command.
 Otherwise, list all commands of a certain category (General, System, Coords,
 Trajectory, Topology, Action, Analysis, or Control), help for various file
 formats, or help with atom mask syntax.
\end_layout

\begin_layout Subsection
list
\end_layout

\begin_layout LyX-Code
list <type>
\end_layout

\begin_layout LyX-Code
     (<type> = actions,trajin,trajout,ref,parm,analysis,datafile,dataset)
\end_layout

\begin_layout Standard
List the currently loaded objects of <type>.
 If no type is given then list all loaded objects.
\end_layout

\begin_layout Subsection
noexitonerror
\end_layout

\begin_layout LyX-Code
noexitonerror
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
noexitonerror
\end_layout

\end_inset


\end_layout

\begin_layout Standard
Normally 
\shape italic
cpptraj
\shape default
 will exit if actions fail to initialize properly.
 If 
\series bold
\shape italic
noexitonerror
\series default
\shape default
 is specified, 
\shape italic
cpptraj
\shape default
 will attempt to continue past such errors.
 This is the default if in interactive mode.
\end_layout

\begin_layout Subsection
noprogress
\end_layout

\begin_layout LyX-Code
noprogress
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
noprogress
\end_layout

\end_inset


\end_layout

\begin_layout Standard
Do not display read progress during trajectory processing.
\end_layout

\begin_layout Subsection
parallelanalysis
\end_layout

\begin_layout LyX-Code
parallelanalysis [sync]
\end_layout

\begin_layout Standard
MPI only.
 Divide all currently set up analyses as evenly as possible among available
 MPI processes and execute.
 Each analysis will get a single MPI process.
 If 
\series bold
sync
\series default
 is specified all data will be synced back to the master thread (for e.g.
 subsequent analysis).
 For an example of how to use the parallelanalysis command, see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_hausdorff"
plural "false"
caps "false"
noprefix "false"

\end_inset

.
\end_layout

\begin_layout Subsection
precision
\end_layout

\begin_layout LyX-Code
precision
\begin_inset Index idx
status open

\begin_layout Plain Layout
precision
\end_layout

\end_inset

 {<filename> | <dataset arg>} [<width>] [<precision>]
\end_layout

\begin_layout Standard
Set the precision for all data sets in data file <filename> or data set(s)
 specified by <dataset arg> to 
\shape italic
width.precision
\shape default
, where width is the column width and precision is the number of digits
 after the decimal point.
 Note that the <precision> argument only applies to floating-point data
 sets.
\end_layout

\begin_layout Standard
For example, if one wanted to set the precision of the output of an Rmsd
 calculation to 8.3, the input could be:
\end_layout

\begin_layout LyX-Code
trajin ../run0.nc 
\end_layout

\begin_layout LyX-Code
rms first :10-260 out prec.dat 
\end_layout

\begin_layout LyX-Code
precision prec.dat 8 3
\end_layout

\begin_layout Standard
and the output would look like:
\end_layout

\begin_layout LyX-Code
#Frame RMSD_00000
\end_layout

\begin_layout LyX-Code
1 0.000
\end_layout

\begin_layout LyX-Code
2 0.630
\end_layout

\begin_layout Subsection
random
\end_layout

\begin_layout LyX-Code
random [setdefault {marsaglia|stdlib|mt|pcg32|xo128}]
\end_layout

\begin_layout LyX-Code
   	[createset <name> count <#> [seed <#>]
\end_layout

\begin_layout LyX-Code
        settype {int|float01|gauss [mean <mean>] [sd <SD>]}]
\end_layout

\begin_deeper
\begin_layout Description
setdefault If specified, change the default random number generator (RNG).
\end_layout

\begin_deeper
\begin_layout Description
marsaglia Use the Marsaglia RNG that is used in the Amber MD programs sander/pme
md.
\end_layout

\begin_layout Description
stdlib Use the C standard library RNG.
\end_layout

\begin_layout Description
mt Use the C++11 implementation of the Mersenne twister (mt19937); only
 available with C++11 support.
\end_layout

\begin_layout Description
pcg32 Use the 32 bit version of the Permuted Congruential Generator.
\begin_inset CommandInset citation
LatexCommand citep
key "Oneill2014"
literal "true"

\end_inset


\end_layout

\begin_layout Description
xo128 Use the Xoshiro128++ RNG.
\begin_inset CommandInset citation
LatexCommand citep
key "Vigna2017"
literal "true"

\end_inset


\end_layout

\end_deeper
\begin_layout Description
createset If specified, create a 1D data set filled with random numbers
 of the specified type.
\end_layout

\begin_deeper
\begin_layout Description
<name> Name of created set.
\end_layout

\begin_layout Description
count
\begin_inset space ~
\end_inset

<#> The number of elements to put into the set.
\end_layout

\begin_layout Description
settype
\begin_inset space ~
\end_inset

{int|float01|gauss} Type of numbers to use; integer, floating point between
 0 and 1, Gaussian distribution.
\end_layout

\begin_deeper
\begin_layout Description
mean
\begin_inset space ~
\end_inset

<mean> Mean of distribution for 'gauss'.
\end_layout

\begin_layout Description
sd
\begin_inset space ~
\end_inset

<SD> Standard deviation of distribution for 'gauss'.
\end_layout

\end_deeper
\begin_layout Description
seed
\begin_inset space ~
\end_inset

<#> Optional seed for the RNG.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
This command can be used to set the default random number generator used
 in CPPTRAJ, and/or create a 1D data set filled with random values.
\end_layout

\begin_layout Subsection
readdata
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_readdata"

\end_inset


\end_layout

\begin_layout LyX-Code
readdata
\begin_inset Index idx
status open

\begin_layout Plain Layout
readdata
\end_layout

\end_inset

 <filename>  [name <dsname>] [as <fmt>] [separate] [<format options>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
name
\begin_inset space ~
\end_inset

<dsname> Name for read-in data set(s).
 Default is <filename>.
\end_layout

\begin_layout Description
as
\begin_inset space ~
\end_inset

<fmt> Force <filename> to be read as a specific format using given format
 keyword.
\end_layout

\begin_layout Description
separate Read each file specified into separate data sets indexed from 0.
\end_layout

\end_deeper
\begin_layout Standard
Read data from file <filename> and store as data sets.
 For more information on formats currently recognized by cpptraj see 
\begin_inset CommandInset ref
LatexCommand vref
reference "tab:cpptraj-DataFile-formats"

\end_inset

.
 For format-specific options see 
\begin_inset CommandInset ref
LatexCommand ref
reference "sec:Datafile-Commands"

\end_inset

.
 For example, given the file calc.dat:
\end_layout

\begin_layout LyX-Code
#Frame  R0   D1
\end_layout

\begin_layout LyX-Code
1      1.7 2.22
\end_layout

\begin_layout Standard
The command '
\family typewriter
readdata calc.dat
\family default
' would read data into two data sets, calc.dat:2 (legend set to 
\begin_inset Quotes eld
\end_inset

R0
\begin_inset Quotes erd
\end_inset

) and calc.dat:3 (legend set to 
\begin_inset Quotes eld
\end_inset

D1
\begin_inset Quotes erd
\end_inset

).
\end_layout

\begin_layout Subsection
readensembledata
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_readensembledata"

\end_inset


\end_layout

\begin_layout LyX-Code
readensembledata <filename> [filenames <additional files>] [<readdata args>]
\end_layout

\begin_deeper
\begin_layout Description
<filename> Lowest replica file name.
\end_layout

\begin_layout Description
filenames
\begin_inset space ~
\end_inset

<additional
\begin_inset space ~
\end_inset

files> Specified additional members of the ensemble.
 If not specified ensemble members will be search for using numerical extensions.
\end_layout

\begin_layout Description
<readdata
\begin_inset space ~
\end_inset

args> Additional data file arguments.
\end_layout

\end_deeper
\begin_layout Standard
Read data sets as an ensemble, i.e.
 each file is a different member of an ensemble.
 This command is MPI-aware.
\end_layout

\begin_layout Standard
If one filename is given, it is assumed it is the "lowest" member of an
 ensemble with a numerical extension, e.g.
 'file.001' and the remaining files are searched for automatically.
 Otherwise all other members of the ensemble can be specified with 
\series bold
'filenames'
\series default
 and a comma-separated list e.g.
 'file.001 filenames file.002,file.003,file.004.
 For additional 'readdata' arguments that can be passed in see 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:Datafile-Commands"

\end_inset

.
\end_layout

\begin_layout Standard
For example, to read in data files named cpout.001 to cpout.006 automatically:
\end_layout

\begin_layout LyX-Code
readensembledata cpout.001 cpin cpin name PH
\end_layout

\begin_layout Standard
Or specified:
\end_layout

\begin_layout LyX-Code
readensembledata cpout.001 
\backslash

\end_layout

\begin_layout LyX-Code
                 filenames cpout.002,cpout.003,cpout.004,cpout.005,cpout.006
 
\backslash

\end_layout

\begin_layout LyX-Code
                 cpin cpin name PH 
\end_layout

\begin_layout Subsection
readinput
\end_layout

\begin_layout LyX-Code
readinput
\begin_inset Index idx
status open

\begin_layout Plain Layout
readinput
\end_layout

\end_inset

 <filename>
\end_layout

\begin_layout Standard
Read 
\shape italic
cpptraj
\shape default
 commands from file <filename>.
\end_layout

\begin_layout Subsection
removedata
\end_layout

\begin_layout LyX-Code
removedata <arg>
\end_layout

\begin_layout Standard
Remove data set corresponding to <arg>.
\end_layout

\begin_layout Subsection
rst
\end_layout

\begin_layout LyX-Code
rst <mask1> <mask2> [<mask3>] [<mask4>]
\end_layout

\begin_layout LyX-Code
    r1 <r1> r2 <r2> r3 <r3> r4 <r4> rk2 <rk2> rk3 <rk3>
\end_layout

\begin_layout LyX-Code
    {[parm <parmfile / tag> | parmindex <#>]}
\end_layout

\begin_layout LyX-Code
    [{ref <refname> | refindex <#> | reference} [offset <off>] [width <width>]]
\end_layout

\begin_layout LyX-Code
    [out <outfile>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<mask1> (Required) First atom mask.
\end_layout

\begin_layout Description
<mask2> (Required) Second atom mask.
 If only two masks assume distance restraint.
\end_layout

\begin_layout Description
[<mask3>] (Optional) Third atom mask.
 If 3 atom masks assume angle restraint.
\end_layout

\begin_layout Description
[<mask4>] (Optional) Fourth atom mask.
 If 4 atom masks assume dihedral restraint.
\end_layout

\begin_layout Description
rX
\begin_inset space ~
\end_inset

<rX> Value of RX (X=1-4, default 0.0)
\end_layout

\begin_layout Description
rk2
\begin_inset space ~
\end_inset

<rk2> Value of RK2 (force constant to be applied when R is R1 <= R < R2)
\end_layout

\begin_layout Description
rk3
\begin_inset space ~
\end_inset

<rk3> Value of RK3 (force constant to be applied when R is R3 <= R < R4)
\end_layout

\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<parmfile
\begin_inset space ~
\end_inset

/
\begin_inset space ~
\end_inset

tag>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>] Topology to be used for atom masks.
\end_layout

\begin_layout Description
{ref
\begin_inset space ~
\end_inset

<refname>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

refindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

reference} Use distance/angle/dihedral in reference structure to determine
 values for r1, r2, r3, and r4.
 The value of r2 is set to <r2> + <off>, r3 = r2, r1 = r2 - <width>, r4
 = r3 + <width>.
\end_layout

\begin_layout Description
[offset
\begin_inset space ~
\end_inset

<off>] (Reference only) Value to offset distance/angle/torsion in reference
 by (default 0.0).
\end_layout

\begin_layout Description
[width
\begin_inset space ~
\end_inset

<width>] (Reference only) Width between r1 and r2, r3 and r4 (default 0.5).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<outfile>] Write restraints to outfile.
 If not specified, write to STDOUT.
\end_layout

\end_deeper
\begin_layout Standard
Generate Amber-style distance restraints for use with nmropt=1.
 This is particularly useful for generating distance restraints based off
 of reference coordinates.
 For example to generate a distance restraint between two C5' atoms using
 the current distance between them in a reference structure, offsetting
 the distance by 1.0 Ang.:
\end_layout

\begin_layout LyX-Code
parm 30bp-longbox-tip3p-na.parm7
\end_layout

\begin_layout LyX-Code
reference 30bp-longbox.rst7 
\end_layout

\begin_layout LyX-Code
rst :1@C5' :31@C5' reference offset 1.0 rk2 10.0 rk3 10.0 out output
\end_layout

\begin_layout Subsection
runanalysis
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_runanalysis"

\end_inset


\end_layout

\begin_layout LyX-Code
runanalysis [<analysiscmd> [<analysis args>]]
\end_layout

\begin_layout Standard
Run given analysis command immediately and write any data generated.
 If no command is given run any analysis currently set up.
 NOTE: When 'runanalysis' is specified alone, data is not automatically
 written; to write data generated with 'runanalysis' use the 'writedata'
 command (this allows multiple analysis runs between output if desired).
\end_layout

\begin_layout Subsection
select
\end_layout

\begin_layout LyX-Code
select
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
select
\end_layout

\end_inset

 <mask>
\end_layout

\begin_layout Standard
Prints the number of selected atoms corresponding to the given mask, as
 well as the atom numbers with format:
\end_layout

\begin_layout LyX-Code
Selected= <#atom1> <#atom2> ...
\end_layout

\begin_layout Standard
This does not affect the state in any way, but is intended for use in scripts
 etc.
 for testing the results of a mask expression.
\end_layout

\begin_layout Subsection
selectds
\end_layout

\begin_layout LyX-Code
selectds <dataset arg>
\end_layout

\begin_layout Standard
Show the results of a data set selection.
 Data set selection has the format:
\end_layout

\begin_layout LyX-Code
<name>[<aspect>]:<index>
\end_layout

\begin_layout Standard
Either the [<aspect>] or the <index> arguments may be omitted.
 A '*' can be used in place of <name> or [<aspect>] as a wildcard.
 The <index> argument can be a single number or a range separated by '-'
 and ','.
\end_layout

\begin_layout Standard
This command does not affect the state in any way, but is particularly useful
 in interactive mode for determining the results of a dataset argument.
\end_layout

\begin_layout Subsection
sortensembledata
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_sortensembledata"

\end_inset


\end_layout

\begin_layout LyX-Code
sortensembledata <dset arg0> [<dset arg1> ...]
\end_layout

\begin_deeper
\begin_layout Description
<dset
\begin_inset space ~
\end_inset

arg0>
\begin_inset space ~
\end_inset

[<dset
\begin_inset space ~
\end_inset

arg1>
\begin_inset space ~
\end_inset

...] Data set(s) to sort.
\end_layout

\end_deeper
\begin_layout Standard
Sort unsorted data sets.
 Currently only works for constant pH REMD data.
\end_layout

\begin_layout Subsection
usediskcache
\end_layout

\begin_layout LyX-Code
usediskcache {on|off}
\end_layout

\begin_layout Standard
If on, CPPTRAJ will attempt to cache data sets to disk if possible.
 This currently only works for integer data sets (e.g.
 
\series bold
\emph on
hbond
\series default
\emph default
 
\series bold
series
\series default
 data sets, etc).
\end_layout

\begin_layout Subsection
write | writedata
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_writedata"

\end_inset


\end_layout

\begin_layout LyX-Code
write [<filename> <datasetname0> [<datasetname1> ...]] [<DataFile Options>]
\end_layout

\begin_layout Standard
With no arguments, write all files currently in the data file list.
 Otherwise, write specified data set(s) to <filename>.
 This is like the 'create' command except a data file is not added to the
 data file list; it is written immediately.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:Datafile-Commands"

\end_inset

 for more data file format options.
\end_layout

\begin_layout Subsection
System Commands
\end_layout

\begin_layout Standard
These commands call the equivalent external system commands.
 
\end_layout

\begin_layout Description
gnuplot
\begin_inset space ~
\end_inset

<args> Call 
\family typewriter
gnuplot
\family default
 (if it is installed on your system) with the given arguments.
\end_layout

\begin_layout Description
head
\begin_inset space ~
\end_inset

<args> Call 
\family typewriter
head
\family default
, which lists the first few lines of a file.
\end_layout

\begin_layout Description
less
\begin_inset space ~
\end_inset

<args> Call 
\family typewriter
less
\family default
, which can be used to view the contents of a file.
\end_layout

\begin_layout Description
ls
\begin_inset space ~
\end_inset

<args> List the contents of a directory.
\end_layout

\begin_layout Description
pwd
\begin_inset space ~
\end_inset

<args> Print the current working directory.
\end_layout

\begin_layout Description
xmgrace
\begin_inset space ~
\end_inset

<args> Call 
\family typewriter
xmgrace
\family default
 (if it is installed on your system) with the given arguments.
\end_layout

\begin_layout Section
Topology File Commands
\end_layout

\begin_layout Standard
These commands control the reading and writing of topology files.
 Cpptraj supports the following topology file formats:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Format
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Keyword
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Extension
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Notes
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Amber Topology
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
amber
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.parm7
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Only fully-supported format for write.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
PDB 
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pdb
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.pdb
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Mol2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
mol2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.mol2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
CIF
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
cif
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.cif
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Charmm PSF
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
psf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.psf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Limited Write
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Gromacs Topology
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
gromacs
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.top
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
SDF
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
sdf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.sdf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Tinker ARC
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
arc
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.arc
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\begin_inset CommandInset label
LatexCommand label
name "tab:cpptraj-Topology-formats"

\end_inset


\end_layout

\begin_layout Standard
For most commands that require a topology one can be specified via two keywords:
\end_layout

\begin_layout Description
parm
\begin_inset space ~
\end_inset

[<name>] Select topology corresponding to given file name, tag, or name.
\end_layout

\begin_layout Description
parmindex
\begin_inset space ~
\end_inset

[<#>] Select topology by order in which it was loaded, starting from 0.
\end_layout

\begin_layout Standard
The following topology related commands are available:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="21" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Command
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Description
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
angleinfo, angles, printangles
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print angle info for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
atominfo, atoms, printatoms
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print details for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
bondinfo, bonds, printbonds
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print bond info for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
change
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Change specified parts of a topology.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
charge
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print total charge for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
comparetop
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Compare two topologies and report differences.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
dihedralinfo, dihedrals, printdihedrals
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print dihedral info for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
improperinfo, impropers, printimpropers
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print improper info for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
mass
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print total mass for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
molinfo
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print molecule info for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
parm
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Load a topology file.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
parmbox
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Modify box info for a loaded topology.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
parminfo
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print details for selected topology.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
parmstrip
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Remove selected atoms from topology.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
parmwrite
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Write selected topology to file.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
printub, ubinfo
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print Urey-Bradley info for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
resinfo
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print residue info for selected atoms.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
scaledihedralk
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Scale selected dihedral force constants.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
solvent
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Change which molecules are considered solvent.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
updateparameters
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Update/add parameters in/to a topology.
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsection
angleinfo | angles | printangles
\end_layout

\begin_layout LyX-Code
angleinfo [parm <name> | parmindex <#> | <#>] [<mask1>] [<mask2> <mask3>]
\end_layout

\begin_layout LyX-Code
          [out <file>]
\end_layout

\begin_deeper
\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Name/tag or index of topology.
 Default is first loaded topology.
\end_layout

\begin_layout Description
[<mask1>] Mask to print angle info for.
\end_layout

\begin_layout Description
[<mask2>
\begin_inset space ~
\end_inset

<mask3>] If specified, angles must match all masks.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to print to (default STDOUT).
\end_layout

\end_deeper
\begin_layout Standard
Print angle information of atoms in <mask> for selected topology (first
 loaded topology by default) with format:
\end_layout

\begin_layout LyX-Code
# Angle Kthet degrees atom names (numbers)
\end_layout

\begin_layout Standard
Where 
\family typewriter
Angle
\family default
 is the internal angle index, 
\family typewriter
Kthet
\family default
 is the angle force constant, 
\family typewriter
degrees
\family default
 is the angle equilibrium value, 
\family typewriter
atom names
\family default
 shows the atoms involved in the angle with format 
\family typewriter
:<residue num>@<atom name>
\family default
, and 
\family typewriter
(numbers)
\family default
 shows the atom indices involved in a comma-separated list.
 Atom types will be shown in the last column.
\end_layout

\begin_layout Standard
If 3 masks are given instead of 1, print info for angles with first atom
 in <mask1>, second atom in <mask2>, and third atom in <mask3>.
\end_layout

\begin_layout Subsection
atominfo | atoms | printatoms
\end_layout

\begin_layout LyX-Code
atominfo [parm <name> | parmindex <#> | <#>] [<mask>] [out <file>]
\end_layout

\begin_deeper
\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Name/tag or index of topology.
 Default is first loaded topology.
\end_layout

\begin_layout Description
[<mask>] Mask selecting atoms to print info for.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to print to (default STDOUT).
\end_layout

\end_deeper
\begin_layout Standard
Print information on atoms in <mask> for selected topology (first loaded
 topology by default) with format:
\end_layout

\begin_layout LyX-Code
#Atom Name #Res Name #Mol Type Charge Mass GBradius El [rVDW] [eVDW]
\end_layout

\begin_layout Standard
where 
\family typewriter
#Atom
\family default
 is the internal atom index, the first 
\family typewriter
Name
\family default
 column is the atom name, 
\family typewriter
#Res
\family default
 is the atom's residue number, the second 
\family typewriter
Name
\family default
 column is residue name, 
\family typewriter
#Mol
\family default
 is the atom's molecule number, 
\family typewriter
Type
\family default
 is the atom's type (certain topologies only), 
\family typewriter
Charge
\family default
 is the atom charge (in units of electron charge), 
\family typewriter
Mass
\family default
 is the atom's mass (in amu), 
\family typewriter
GBradius
\family default
 is the generalized Born radius of the atom (Amber topologies only), and
 
\family typewriter
El
\family default
 is the 2 character element string.
 The final two columns are only shown if the topology contains non-bonded
 parameters: 
\family typewriter
rVDW
\family default
 is the atom's Lennard-Jones radius and 
\family typewriter
eVDW
\family default
 is the atom's Lennard-Jones epsilon.
\end_layout

\begin_layout Subsection
bondinfo | bonds | printbonds
\end_layout

\begin_layout LyX-Code
bondinfo [parm <name> | parmindex <#> | <#>] 
\end_layout

\begin_layout LyX-Code
         [<mask1>] [<mask2>] [out <file>] [nointrares]
\end_layout

\begin_deeper
\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Name/tag or index of topology.
 Default is first loaded topology.
\end_layout

\begin_layout Description
[<mask1>] Mask to print bond info for.
\end_layout

\begin_layout Description
[<mask2>] If specified, bonds must match both masks.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to print to (default STDOUT).
\end_layout

\begin_layout Description
[nointrares] Do not print intra-residue bonds.
\end_layout

\end_deeper
\begin_layout Standard
Print bond information for atoms in <mask> for selected topology (first
 loaded topology by default) with format:
\end_layout

\begin_layout LyX-Code
# Bond Kb Req atom names (numbers)
\end_layout

\begin_layout Standard
where 
\family typewriter
Bond
\family default
 is the internal bond index, 
\family typewriter
Kb
\family default
 is the bond force constant, 
\family typewriter
Req
\family default
 is the bond equilibrium value (in Angstroms), 
\family typewriter
atom names
\family default
 shows both atom names with format 
\family typewriter
:<residue num>@<atom name>
\family default
, and 
\family typewriter
(numbers)
\family default
 shows both atom numbers in a comma-separated list.
 Atom types will be shown in the last column.
\end_layout

\begin_layout Standard
If 2 masks are given instead of 1, print info for bonds with first atom
 in <mask1> and second atom in <mask2>.
\end_layout

\begin_layout Subsection
change
\end_layout

\begin_layout LyX-Code
change [parm <name> | parmindex <#> | <#> |
\end_layout

\begin_layout LyX-Code
        crdset <COORDS set> ]
\end_layout

\begin_layout LyX-Code
	{ resname from <mask> to <value> |
\end_layout

\begin_layout LyX-Code
      chainid of <mask> to <value> |
\end_layout

\begin_layout LyX-Code
      oresnums of <mask> min <range min> max <range max> |
\end_layout

\begin_layout LyX-Code
	  icodes of <mask> min <char min> max <char max> resnum <#> |
\end_layout

\begin_layout LyX-Code
	  atomname from <mask> to <value> |
\end_layout

\begin_layout LyX-Code
      addbond <mask1> <mask2> [req <length> <rk> <force constant>]
\end_layout

\begin_layout LyX-Code
      removebonds <mask1> [<mask2>] [out <file>] }
\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

crdset
\begin_inset space ~
\end_inset

<COORDS
\begin_inset space ~
\end_inset

set> Topology to change.
\end_layout

\begin_layout Description
resname
\begin_inset space ~
\end_inset

from
\begin_inset space ~
\end_inset

<mask>
\begin_inset space ~
\end_inset

to
\begin_inset space ~
\end_inset

<value> Change residue names for residues in <mask> to the given <value>.
\end_layout

\begin_layout Description
chainid
\begin_inset space ~
\end_inset

of
\begin_inset space ~
\end_inset

<mask>
\begin_inset space ~
\end_inset

to
\begin_inset space ~
\end_inset

<value> Change the chain ID of residues in <mask> to given <value>.
\end_layout

\begin_layout Description
oresnums
\begin_inset space ~
\end_inset

of
\begin_inset space ~
\end_inset

<mask>
\begin_inset space ~
\end_inset

min
\begin_inset space ~
\end_inset

<range
\begin_inset space ~
\end_inset

min>
\begin_inset space ~
\end_inset

max
\begin_inset space ~
\end_inset

<range
\begin_inset space ~
\end_inset

max> Change original residue numbers (to e.g.
 original PDB numbers) of residues in <mask> to a range starting from <min>
 and ending with <max>.
\end_layout

\begin_layout Description
icode
\begin_inset space ~
\end_inset

of
\begin_inset space ~
\end_inset

<mask>
\begin_inset space ~
\end_inset

min
\begin_inset space ~
\end_inset

<char
\begin_inset space ~
\end_inset

min>
\begin_inset space ~
\end_inset

max
\begin_inset space ~
\end_inset

<char
\begin_inset space ~
\end_inset

max>
\begin_inset space ~
\end_inset

<resnum>
\begin_inset space ~
\end_inset

<#> Change residue insertion codes of residues in <mask> to a range of character
s starting from <min> and ending with <max>; set the original residue number
 to <resnum>.
\end_layout

\begin_layout Description
atomname
\begin_inset space ~
\end_inset

from
\begin_inset space ~
\end_inset

<mask>
\begin_inset space ~
\end_inset

to
\begin_inset space ~
\end_inset

<value> Change atom names for atoms in <mask> to the given <value>.
\end_layout

\begin_layout Description
addbond
\begin_inset space ~
\end_inset

<mask1>
\begin_inset space ~
\end_inset

<mask2> Add bond between atom specified by <mask1> and atom specified by
 <mask2>.
\end_layout

\begin_deeper
\begin_layout Description
[req
\begin_inset space ~
\end_inset

<length>] The equilibrium bond length in Angstroms.
\end_layout

\begin_layout Description
[rk
\begin_inset space ~
\end_inset

<force
\begin_inset space ~
\end_inset

constant>] The bond force constant in kcal/mol*Angstrom.
\end_layout

\end_deeper
\begin_layout Description
removebonds
\begin_inset space ~
\end_inset

<mask1>
\begin_inset space ~
\end_inset

[<mask2>] Remove bonds from atoms in <mask1>.
 If <mask2> also given, remove bonds between atoms in <mask1> and atoms
 in <mask2>.
\end_layout

\begin_deeper
\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] If specified, write removed bonds to <file> with format '<residue
 name> <residue num> <atom name> <atom num>'.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Change specified parts of the specified topology.
 For example, to change atoms named 'HN' to 'H' in topology 0:
\end_layout

\begin_layout LyX-Code
change parmindex 0 atomname from @HN to H
\end_layout

\begin_layout Subsection
charge
\end_layout

\begin_layout LyX-Code
charge [parm <name> | parmindex <#> | <#>] [<mask>] [out <file>] [name <set>]
\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#> Topology to calculate charge from.
\end_layout

\begin_layout Description
[<mask>] Atom(s) to calculate total charge for (default all).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to write total charge to.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<set>] If specified, a data set named <set> will be cretaed containing total
 charge.
\end_layout

\end_deeper
\begin_layout Standard
Print the total charge of atoms in <mask> (in units of electron charge)
 for selected topology (first loaded topology by default).
\end_layout

\begin_layout Subsection
comparetop
\end_layout

\begin_layout LyX-Code
comparetop {parm <name> | parmindex <#>} {parm <name> | parmindex <#>} [out
 <file>]
\end_layout

\begin_layout LyX-Code
           [atype] [lj] [bnd] [ang] [dih] [atoms]
\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#> Topologies to compare.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<file> Print results to file instead of screen.
\end_layout

\begin_layout Description
[atype] Only report atom type differences.
\end_layout

\begin_layout Description
[lj] Only report differences in Lennard-Jones parameters.
\end_layout

\begin_layout Description
[bnd] Only report differences in bond parameters.
\end_layout

\begin_layout Description
[ang] Only report differences in angle parameters.
\end_layout

\begin_layout Description
[dih] Only report differences in dihedral parmeters.
\end_layout

\begin_layout Description
[atoms] Only report differences in atom properties.
\end_layout

\end_deeper
\begin_layout Standard
Compare and report differences in atoms/parameters between two topologies.
 Differences are reported in standard 'diff' format, with '<' prefix indicating
 the parameter is from the first topology and '>' prefix indicating the
 parameter is from the second topology.
\end_layout

\begin_layout Subsection
dihedralinfo | dihedrals | printdihedrals
\end_layout

\begin_layout LyX-Code
dihedralinfo [parm <name> | parmindex <#> | <#>] [<mask1>] [<mask2> <mask3>
 <mask4>]
\end_layout

\begin_layout LyX-Code
             [out <file>]
\end_layout

\begin_deeper
\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Name/tag or index of topology.
 Default is first loaded topology.
\end_layout

\begin_layout Description
[<mask1>] Mask to print dihedral info for.
\end_layout

\begin_layout Description
[<mask2>
\begin_inset space ~
\end_inset

<mask3>
\begin_inset space ~
\end_inset

<mask4>] If specified, dihedrals must match all masks.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to print to (default STDOUT).
\end_layout

\end_deeper
\begin_layout Standard
Print dihedral information of atoms in <mask> for selected topology (first
 loaded topology by default) with format:
\end_layout

\begin_layout LyX-Code
#Dihedral pk phase pn atoms
\end_layout

\begin_layout Standard
where 
\family typewriter
#Dihedral
\family default
 is the internal dihedral index, 
\family typewriter
pk
\family default
 is the dihedral force constant, 
\family typewriter
phase
\family default
 is the dihedral phase, 
\family typewriter
pn
\family default
 is the dihedral periodicity, and 
\family typewriter
atoms
\family default
 shows the names of the atoms involved in the angle with format 
\family typewriter
:<residue num>@<atom name>
\family default
, followed by the atom indices involved in a comma-separated list.
 In addition if the dihedral is an end dihedral, improper dihedral, or both
 it will be prefaced with an 
\family typewriter
E
\family default
, 
\family typewriter
I
\family default
, or 
\family typewriter
B
\family default
 respectively.
 Atom types will be shown in the last column.
\end_layout

\begin_layout Standard
If 4 masks are given instead of 1, print info for dihedrals with first atom
 in <mask1>, second atom in <mask2>, third atom in <mask3>, and fourth atom
 in <mask4>.
\end_layout

\begin_layout Subsection
improperinfo | impropers | printimpropers
\end_layout

\begin_layout LyX-Code
improperinfo [parm <name> | parmindex <#> | <#>] [<mask1>] [<mask2> <mask3>
 <mask4>]
\end_layout

\begin_layout LyX-Code
             [out <file>]
\end_layout

\begin_deeper
\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Name/tag or index of topology.
 Default is first loaded topology.
\end_layout

\begin_layout Description
[<mask1>] Mask to print improper info for.
\end_layout

\begin_layout Description
[<mask2>
\begin_inset space ~
\end_inset

<mask3>
\begin_inset space ~
\end_inset

<mask4>] If specified, impropers must match all masks.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to print to (default STDOUT).
\end_layout

\end_deeper
\begin_layout Standard
For specified topology (first by default) either print CHARMM improper info
 for all atoms in <mask1>, or print info for dihedrals with first atom in
 <mask1>, second atom in <mask2>, third atom in <mask3>, and fourth atom
 in <mask4>.
\end_layout

\begin_layout Subsection
mass
\end_layout

\begin_layout LyX-Code
[<parmindex>] [parm <name> | parmindex <#> | <#>] [<mask>] [out <file>]
 [name <set>]
\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#> Topology to calculate mass from.
\end_layout

\begin_layout Description
[<mask>] Atom(s) to calculate total mass for (default all).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to write total mass to.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<set>] If specified, a data set named <set> will be cretaed containing total
 mass.
\end_layout

\end_deeper
\begin_layout Standard
Print the total mass of atoms in <mask> (in amu) for selected topology (first
 loaded topology by default).
\end_layout

\begin_layout Subsection
molinfo
\end_layout

\begin_layout LyX-Code
molinfo [parm <name> | parmindex <#> | <#>] [<mask>] [out <file>]
\end_layout

\begin_deeper
\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Name/tag or index of topology.
 Default is first loaded topology.
\end_layout

\begin_layout Description
[<mask>] Mask selecting molecules to print info for.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to print to (default STDOUT).
\end_layout

\end_deeper
\begin_layout Standard
Print molecule information for atoms in <mask> for selected topology (first
 loaded topology by default) with format:
\end_layout

\begin_layout LyX-Code
#Mol  Natom  #Res Name C [SOLVENT]
\end_layout

\begin_layout Standard
where 
\family typewriter
#Mol
\family default
 is the molecule number, 
\family typewriter
Natom
\family default
 is the number of atoms in the molecule, 
\family typewriter
#Res
\family default
 and 
\family typewriter
Name
\family default
 are the residue number and residue name of the first residue in the molecule
 respectively, and C is the chain ID of the first residue.
 
\family typewriter
SOLVENT
\family default
 will be printed if the molecule is currently considered a solvent molecule.
\end_layout

\begin_layout Subsection
parm
\end_layout

\begin_layout LyX-Code
parm
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
parm
\end_layout

\end_inset

 <filename> [{[TAG] | name <setname>}] 
\end_layout

\begin_layout LyX-Code
     [{ nobondsearch |
\end_layout

\begin_layout LyX-Code
        [bondsearch <offset>] [searchtype {grid|pairlist}]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
      }] [nomolsearch] [renumresidues]
\end_layout

\begin_deeper
\begin_layout Description

\series bold
<filename>
\series default
 Parameter file to read in; format is auto-detected.
\end_layout

\begin_layout Description

\series bold
'[TAG]'
\series default
 Optional tag (bounded in brackets) which can be referred to in place of
 the topology file name in order to simplify references to it (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:Parameter/Reference-Tagging"

\end_inset

 for examples of how to use tags).
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<setname>] Optional name that can be used to refer to the topology in place
 of the file name.
\end_layout

\begin_layout Description

\series bold
[bondsearch <offset>]
\series default
 Optional; when searching for bonds via geometry search (default for Topologies
 without bond information) add <offset> to distances (default 0.2 Å).
 Increase this if your system includes unusually long bonds.
\end_layout

\begin_layout Description
[searchtype
\begin_inset space ~
\end_inset

{grid|pairlist}] Change search algorithm from the default search between
 residues algorithm:
\end_layout

\begin_deeper
\begin_layout Description
grid Uses a grid when searching for bonds between residues.
 This can find bonds between residues that are not sequential (e.g.
 disulfide bonds).
\end_layout

\begin_layout Description
pairlist Uses a pair list to search for bonds between atoms.
 This can potentially find bonds across periodic boundaries, but is the
 more experimental of the two.
\end_layout

\end_deeper
\begin_layout Standard

\series bold
Advanced Options - Not recommended for general use
\end_layout

\begin_layout Description

\series bold
[nobondsearch]
\series default
 If specified do not search for bonds via geometry if Topology does not
 include bond information.
 May cause some Actions to fail.
\end_layout

\begin_layout Description
[nomolsearch] If specified do not search for molecule information.
 May cause some Actions to fail.
\end_layout

\begin_layout Description
[renumresidues] If specified, ensure that any residue cannot be part of
 more than 1 molecule (can occur with e.g.
 alternate sites).
 Residues will be renumbered according to molecule information in that case.
\end_layout

\end_deeper
\begin_layout Standard
Read in parameter file.
 The file format will be auto-detected.
 Current formats recognized by cpptraj are listed 
\begin_inset CommandInset ref
LatexCommand vpageref
reference "tab:cpptraj-Topology-formats"

\end_inset

.
 If the file does not contain bond information, cpptraj will attempt to
 assign bonds based on a simple distance search of atoms within and between
 residues.
 The distance cutoff for determining bonds between atoms depends on the
 elements of the two atoms in question, augmented by <offset>.
 Molecule information is then determined from bond information.
\end_layout

\begin_layout Subsubsection

\emph on
PDB format:
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-parm-pdb"

\end_inset


\end_layout

\begin_layout LyX-Code
[pqr] [readbox] [conect] [noconect] [link] [nolink] [keepaltloc <char>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[pqr] Read charge and radius information from the occupancy and B-factor
 columns.
\end_layout

\begin_layout Description
[readbox] Read unit cell information from CRYST1 record if present.
\end_layout

\begin_layout Description
[conect] Read CONECT records if present (default).
\end_layout

\begin_layout Description
[noconect] Do not read in CONECT records from PDB file.
\end_layout

\begin_layout Description
[link] Read LINK records if present.
 
\end_layout

\begin_layout Description
[nolink] Do not read LINK records if present (default).
\end_layout

\begin_layout Description
[keepaltloc
\begin_inset space ~
\end_inset

<char>] If specified, only keep alternate atom location IDs matching the
 specified character 
\series bold
<char>
\series default
.
\end_layout

\end_deeper
\begin_layout Paragraph*

\series bold
IMPORTANT NOTES FOR PDB FILES
\end_layout

\begin_layout Standard
Sometimes PDB files can contain alternate coordinates for the same atom
 in a residue, e.g.:
\end_layout

\begin_layout LyX-Code
ATOM    806  CA ACYS A 105       6.460 -34.012 -21.801  0.49 32.23 
\end_layout

\begin_layout LyX-Code
ATOM    807  CB ACYS A 105       6.054 -33.502 -20.415  0.49 35.28
\end_layout

\begin_layout LyX-Code
ATOM    808  CA BCYS A 105       6.468 -34.015 -21.815  0.51 32.42
\end_layout

\begin_layout LyX-Code
ATOM    809  CB BCYS A 105       6.025 -33.499 -20.452  0.51 35.38
\end_layout

\begin_layout Standard
If this is the case 
\shape italic
cpptraj
\shape default
 will print a warning about alternate location IDs being present but will
 take no other action.
 Both residues are considered 'CYS' and the mask ':CYS@CA' would select
 both atom 806 and 808.
 If desired, a specific location ID can be kept via the 
\series bold
keepaltloc
\series default
 keyword.
 If 
\series bold
keepaltloc
\series default
 is specified, it should also be specified for any 
\series bold
trajin
\series default
 commands (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-trajin-pdb"
plural "false"
caps "false"
noprefix "false"

\end_inset

).
 Residue insertion codes are read in but also not used by the mask parser.
\end_layout

\begin_layout Subsubsection
Charmm PSF:
\end_layout

\begin_layout LyX-Code
[param <file>]
\end_layout

\begin_deeper
\begin_layout Description
[param
\begin_inset space ~
\end_inset

<file>] Read CHARMM parameters from given file.
 Can do multiple times.
\end_layout

\end_deeper
\begin_layout Subsection
parmbox
\end_layout

\begin_layout LyX-Code
parmbox
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
parmbox
\end_layout

\end_inset

 [parm <name> | parmindex <#> | <#>] [nobox] [truncoct]
\end_layout

\begin_layout LyX-Code
    	[x <xval>] [y <yval>] [z <zval>] [alpha <a>] [beta <b>] [gamma <g>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Name/tag or index of topology to modify.
 Default is first loaded topology.
\end_layout

\begin_layout Description
[nobox] Remove box information.
\end_layout

\begin_layout Description
[truncoct] Set truncated octahedon angles with lengths equal to <xval>.
\end_layout

\begin_layout Description
[x
\begin_inset space ~
\end_inset

<xval>] Box X length.
\end_layout

\begin_layout Description
[y
\begin_inset space ~
\end_inset

<yval>] Box Y length.
\end_layout

\begin_layout Description
[z
\begin_inset space ~
\end_inset

<zval>] Box Z length.
\end_layout

\begin_layout Description
[alpha
\begin_inset space ~
\end_inset

<a>] Box alpha angle.
\end_layout

\begin_layout Description
[beta
\begin_inset space ~
\end_inset

<b>] Box beta angle.
\end_layout

\begin_layout Description
[gamma
\begin_inset space ~
\end_inset

<g>] Box gamma angle.
\end_layout

\end_deeper
\begin_layout Standard
Modify the box information for specified topology.
 Overwrites any box information if present with specified values; any that
 are not specified will remain unchanged.
 Note that unlike the 
\series bold
\shape italic
box
\series default
\shape default
 action this command affect box information immediately.
 This can be useful for e.g.
 removing box information from a parm when stripping solvent:
\end_layout

\begin_layout LyX-Code
parm mol.water.parm7
\end_layout

\begin_layout LyX-Code
parmstrip :WAT
\end_layout

\begin_layout LyX-Code
parmbox nobox
\end_layout

\begin_layout LyX-Code
parmwrite out strip.mol.nobox.parm7
\end_layout

\begin_layout Subsection
parminfo 
\end_layout

\begin_layout LyX-Code
parminfo
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
parminfo
\end_layout

\end_inset

 [parm <name> | parmindex <#> | <#>] [<mask>]
\end_layout

\begin_layout Standard
Print a summary of information contained in the specified topology (first
 loaded topology by default) .
\end_layout

\begin_layout Subsection
parmstrip
\end_layout

\begin_layout LyX-Code
parmstrip
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
parmstrip
\end_layout

\end_inset

 <mask> [parm <name> | parmindex <#> | <#>]
\end_layout

\begin_layout Standard
Strip atoms in 
\series bold
<mask>
\series default
 from specified topology (by default the first topology loaded).
 Note that unlike the 
\series bold
\emph on
strip
\series default
\emph default
 Action, this permanently modifies the topology for as long as 
\emph on
cpptraj
\emph default
 is running, so this should not be used if the topology is being used to
 read or write a trajectory via 
\series bold
\emph on
trajin
\series default
\emph default
/
\series bold
\emph on
trajout
\series default
\emph default
.
 This command can be used to quickly created stripped Amber topology files.
 For example, to strip all residues name WAT from a topology and write a
 new topology:
\end_layout

\begin_layout LyX-Code
parm mol.water.parm7
\end_layout

\begin_layout LyX-Code
parmstrip :WAT
\end_layout

\begin_layout LyX-Code
parmwrite out strip.mol.parm7
\end_layout

\begin_layout Subsection
parmwrite
\end_layout

\begin_layout LyX-Code
parmwrite
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
parmwrite
\end_layout

\end_inset

 out <filename> [{parm <name> | parmindex <#> | <#> | crdset <setname>}]
\end_layout

\begin_layout LyX-Code
          [<fmt>] [nochamber]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<filename> File to write to.
\end_layout

\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Topology to write out.
\end_layout

\begin_layout Description
[crdset
\begin_inset space ~
\end_inset

<setname>] Write topology from specified COORDS data set.
\end_layout

\begin_layout Description
[<fmt>] Format keyword.
 If not specified the file name extension will be used.
 Default is Amber Topology.
\end_layout

\begin_layout Description
[nochamber] (Amber topology only) Remove any CHAMBER information from the
 topology.
\end_layout

\end_deeper
\begin_layout Standard
Write out specified topology (first topology loaded by default) to 
\series bold
<filename>
\series default
 with format 
\series bold
<fmt>
\series default
 (Amber topology if not specified).
 Note that the Amber topology format is the only fully supported format
 for topology writes.
\end_layout

\begin_layout Subsubsection
Amber Topology
\end_layout

\begin_layout LyX-Code
[nochamber] [writeempty] [nopdbinfo]
\end_layout

\begin_deeper
\begin_layout Description
[nochamber] Do not write CHAMBER information to topology (useful for e.g.
 using topology for visualization with older versions of VMD).
\end_layout

\begin_layout Description
[writeempty] Write Amber tree, join, and rotate info even if not present.
\end_layout

\begin_layout Description
[nopdbinfo] Do not write "PDB" info (e.g.
 chain IDs, original res #s, etc).
\end_layout

\end_deeper
\begin_layout Subsubsection
Charmm PSF
\end_layout

\begin_layout LyX-Code
[oldpsf] [ext]
\end_layout

\begin_deeper
\begin_layout Description
[oldpsf] Write atom type indices instead of type names (not recommended).
\end_layout

\begin_layout Description
[ext] Use extended format.
\end_layout

\end_deeper
\begin_layout Subsection
printub | ubinfo
\end_layout

\begin_layout LyX-Code
printub [parm <name> | parmindex <#> | <#>] [<mask1>] [<mask2>] [out <file>]
\end_layout

\begin_deeper
\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Name/tag or index of topology.
 Default is first loaded topology.
\end_layout

\begin_layout Description
[<mask1>] Atoms to print UB info for.
\end_layout

\begin_layout Description
[<mask2>] If specified, UB info must match both masks.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to print to (default STDOUT).
\end_layout

\end_deeper
\begin_layout Standard
For specified topology (first by default) either print CHARMM Urey-Bradley
 info for all atoms in <mask1>, or print info for bonds with first atom
 in <mask1> and second atom in <mask2>.
\end_layout

\begin_layout Subsection
resinfo
\end_layout

\begin_layout LyX-Code
resinfo
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
parmresinfo
\end_layout

\end_inset

 [parm <name> | parmindex <#> | <#>] [<mask>] [short [maxwidth <#res>]]
\end_layout

\begin_layout LyX-Code
        [out <file>]
\end_layout

\begin_deeper
\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

<#>] Name/tag or index of topology.
 Default is first loaded topology.
\end_layout

\begin_layout Description
[<mask>] Mask selecting residues to print info for.
\end_layout

\begin_layout Description
[short] Use a short 1 character residue name format
\end_layout

\begin_deeper
\begin_layout Description
[maxwidth
\begin_inset space ~
\end_inset

<#res>] Max # of residues to print in one line (default 50).
\end_layout

\end_deeper
\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to print to (default STDOUT).
\end_layout

\end_deeper
\begin_layout Standard
Print residue information for atoms in <mask> for selected topology (first
 loaded topology by default) with format:
\end_layout

\begin_layout LyX-Code
#Res  Name First  Last Natom #Orig #Mol C
\end_layout

\begin_layout Standard
where 
\family typewriter
#Res
\family default
 is the residue number, 
\family typewriter
Name
\family default
 is the residue name, 
\family typewriter
First
\family default
 and 
\family typewriter
Last
\family default
 are the first and last atom numbers of the residue, 
\family typewriter
Natom
\family default
 is the total number of atoms in the residue, 
\family typewriter
#Orig
\family default
 is the original residue number (in PDB files), #Mol is the molecule number,
 and C is the chain ID.
\end_layout

\begin_layout Standard
If 
\series bold
short
\series default
 is specified then residues will be printed out in a condensed format.
 Each residue name will be shortened to 1 character, and residues are printed
 out in groups of 10, 5 groups to a line, with each line beginning with
 a residue number, e.g.
\end_layout

\begin_layout LyX-Code
> resinfo short 4 
\end_layout

\begin_layout LyX-Code
1        MGFLAGKKIL ITGLLSNKSI AYGIAKAMHR EGAELAFTYV GQFKDRVEKL 
\end_layout

\begin_layout LyX-Code
51       CAEFNPAAVL PCDVISDQEI KDLFVELGKV WDGLDAIVHS IAFAPRDQLE 
\end_layout

\begin_layout Standard
If the 1 character name for a residue is unknown it will be shown as the
 first letter of the residue name in lower-case.
\end_layout

\begin_layout Subsection
scaledihedralk
\end_layout

\begin_layout LyX-Code
scaledihedralk [parm <name> | parmindex <#>] <scale factor> [<mask> [useall]]
\end_layout

\begin_layout Standard
Scale dihedral force constants for dihderals selected by <mask> for specified
 topology.
 If 
\series bold
useall
\series default
 is specified all atoms in <mask> must be present to select a dihedral,
 otherwise any atom in <mask> will selected a dihedral.
\end_layout

\begin_layout Subsection
solvent
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_solvent"

\end_inset


\end_layout

\begin_layout LyX-Code
solvent [parm <name> | parmindex <#> | <#>] { <mask> | none }
\end_layout

\begin_layout Standard
Set solvent for selected topology (first loaded topology by default) based
 on 
\series bold
<mask>
\series default
, or set nothing as solvent if 
\series bold
none
\series default
 is specified.
\end_layout

\begin_layout Subsection
updateparameters
\end_layout

\begin_layout LyX-Code
parm <name> | parmindex <#> setname <parm set>
\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#> Topology to update.
\end_layout

\begin_layout Description
setname
\begin_inset space ~
\end_inset

<parm
\begin_inset space ~
\end_inset

set> Topology or parameter data set containing parameters to use.
\end_layout

\end_deeper
\begin_layout Standard

\emph on
NOTE: This command is provided for convenience only.
 For editing topology files, ParmEd is a much better alternative.
\end_layout

\begin_layout Standard
Update parameters in specified topology with those from <parm set>.
 <parm set> can either be a parameter set or a topology.
 If a parameter from <parm set> does not exist in the topology it will be
 added.
\end_layout

\begin_layout Standard
For example, to modify parameters in a topology file named lys.parm7 with
 those from parameter file kcx.str:
\end_layout

\begin_layout LyX-Code
# Read Topology to modify
\end_layout

\begin_layout LyX-Code
parm lys.parm7
\end_layout

\begin_layout LyX-Code
# Read CHARMM parameters
\end_layout

\begin_layout LyX-Code
readdata kcx.str as charmmrtfprm name MyParm
\end_layout

\begin_layout LyX-Code
# Update parameters in Topology with those from kcx.str
\end_layout

\begin_layout LyX-Code
updateparameters parmindex 0 setname MyParm
\end_layout

\begin_layout LyX-Code
# Write out the updated Topology
\end_layout

\begin_layout LyX-Code
parmwrite out lys.kcx.parm7 
\end_layout

\begin_layout Section
Trajectory File Commands
\end_layout

\begin_layout Standard
These commands control the reading and writing of trajectory files.
 There are three trajectory types in 
\shape italic
cpptraj
\shape default
: input, output, and reference.
 In 
\shape italic
cpptraj
\shape default
, trajectories are always associated with a topology file.
 If a topology file is not specified, a trajectory file will be associated
 with the first topology file loaded by default (this is true for both input
 and output trajectories.
\end_layout

\begin_layout Standard
Cpptraj currently understands the following trajectory file formats:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="22" columns="4">
<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="25text%">
<column alignment="center" valignment="top" width="25text%">
<column alignment="center" valignment="top" width="25text%">
<column alignment="center" valignment="top" width="25text%">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Format
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Keyword(s)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Extension
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Notes
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Amber Trajectory
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
crd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.crd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Default format if keywords/extensions not recognized.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Amber NetCDF
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
cdf, netcdf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.nc
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
No compression.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Amber Restart
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
restart
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.rst7, .rst
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Amber NetCDF Restart
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
ncrestart, restartnc
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.ncrst
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Charmm 
\begin_inset Quotes eld
\end_inset

DCD
\begin_inset Quotes erd
\end_inset

 Trajectory
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
dcd, charmm
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.dcd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Charmm COORdinates
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
cor
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.cor
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Charmm Restart
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
charmmres
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.res
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
PDB
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pdb
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.pdb
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Mol2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
mol2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.mol2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Scripps Binpos
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
binpos
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.binpos
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Gromacs TRR
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
trr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.trr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Gromacs GRO
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
gro
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.gro
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Gromacs XTC
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
xtc
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.xtc
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Gromacs TNG
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
tng
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.tng
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
CIF
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
cif
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.cif
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Tinker ARC
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
arc
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.arc
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
SQM Input
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
sqm
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.sqm
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Write Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
SDF
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
sdf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.sdf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
XYZ
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
xyz
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.xyz
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Desmond DTR (Anton)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
dtr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.dtr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
LMOD Conflib
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
conflib
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
.conflib
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read Only, Detection by extension
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\begin_inset CommandInset label
LatexCommand label
name "tab:cpptraj-trajformats"

\end_inset


\end_layout

\begin_layout Standard
The following trajectory-related commands are available:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Command
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Description
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
ensemble
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Set up a trajectory ensemble for reading during a run.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
ensemblesize
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
(MPI only) specify number of members expected in subsequent 
\series bold
\emph on
ensemble
\series default
\emph default
 commands.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
reference
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Read in a reference structure.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
trajin
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Set up a trajectory for reading during a Run.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
trajout
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Set up an output trajectory or ensemble for writing during a Run.
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsection
ensemble
\end_layout

\begin_layout LyX-Code
ensemble <file0> {[<start>] [<stop> | last] [offset]} | lastframe
\end_layout

\begin_layout LyX-Code
         [parm <parmfile / tag> | parmindex <#>]
\end_layout

\begin_layout LyX-Code
         [trajnames <file1>,<file2>,...,<fileN>
\end_layout

\begin_layout LyX-Code
         [remlog <remlogfile> [nstlim <nstlim> ntwx <ntwx>]]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<file0> Lowest replica filename.
\end_layout

\begin_layout Description
[<start>] Frame to begin reading ensemble at (default 1).
\end_layout

\begin_layout Description
[<stop>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

last] Frame to stop reading ensemble at; if not specified or 'last' specified,
 end of trajectories.
\end_layout

\begin_layout Description
[<offset>] Offset for reading in trajectory frames (default 1).
\end_layout

\begin_layout Description
[lastframe] Select only the final frame of the trajectories.
\end_layout

\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<parmfile>] Topology filename/tag to associate with trajectories (default
 first topology).
\end_layout

\begin_layout Description
[parmindex
\begin_inset space ~
\end_inset

<#>] Index of Topology to associate with trajectories (default 0, first
 topology).
\end_layout

\begin_layout Description
[trajnames
\begin_inset space ~
\end_inset

<file1>,...,<fileN>] Do not automatically search for additional replica trajectorie
s; use comma-separated list of trajectory names.
\end_layout

\begin_layout Description
[remlog
\begin_inset space ~
\end_inset

<remlogfile>] For H-REMD trajectories only, use specified REMD log file
 to sort trajectories by coordinate index (instead of by Hamiltonian).
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[nstlim
\begin_inset space ~
\end_inset

<nstlim>
\begin_inset space ~
\end_inset

ntwx
\begin_inset space ~
\end_inset

<ntwx>] If trajectory and REMD log were not written at the same rate, these
 are the values for nstlim (steps between each exchange) and ntwx (steps
 between trajectory write) used in the REMD simulation.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Read in and process trajectories as an ensemble.
 Similar to '
\series bold
\shape italic
trajin
\series default
\shape default
 remdtraj', except instead of processing one frame at a target temperature,
 process all frames.
 This means that action and trajout commands apply to the entire ensemble;
 note however that not all actions currently function in 
\series bold
\shape italic
'ensemble'
\series default
\shape default
 mode.
 For example, to read in a replica ensemble, convert it to temperature trajector
ies, and calculate a distance at each temperature:
\end_layout

\begin_layout LyX-Code
parm ala2.99sb.mbondi2.parm7
\end_layout

\begin_layout LyX-Code
ensemble rem.crd.000 trajnames rem.crd.001,rem.crd.002,rem.crd.003  
\end_layout

\begin_layout LyX-Code
trajout temp.crd
\end_layout

\begin_layout LyX-Code
distance d1 out d1.ensemble.dat @1 @21
\end_layout

\begin_layout Standard
This will output 4 temperature trajectories named 'temp.crd.X', where X ranges
 from 0 to 3 with 0 corresponding to the lowest temperature, and 'd1.ensemble.dat'
 containing 4 columns, each corresponding to a temperature.
 If run with MPI, data will be written to separate files named 'd1.ensemble.dat.X',
 similar to the output trajectories.
\end_layout

\begin_layout Standard
Note that in parallel (i.e.
 MPI) users should specify the 
\series bold
\emph on
ensemblesize
\series default
\emph default
 command prior to 
\series bold
\emph on
ensemble
\series default
\emph default
 in order to improve set up efficiency.
\end_layout

\begin_layout Subsection
ensemblesize
\end_layout

\begin_layout LyX-Code
ensemblesize <#>
\end_layout

\begin_layout Standard
This command is MPI only.
 It is used to set the expected number of members in any subsequent 
\series bold
\emph on
ensemble
\series default
\emph default
 command, which dramatically improves set up efficiency.
\end_layout

\begin_layout Subsection
reference
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_reference"

\end_inset


\end_layout

\begin_layout LyX-Code
reference
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
reference
\end_layout

\end_inset

 <name> [<frame#>] [<mask>] ([tag]) [lastframe] [crdset]
\end_layout

\begin_layout LyX-Code
          [parm <parmfile / tag> | parmindex <#>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<name> File name (or COORDS set name if 'crdset' specified) to read in as
 reference; any trajectory recognized by 'trajin' can be used.
\end_layout

\begin_layout Description
[<frame#>] Frame number to use (default 1).
\end_layout

\begin_layout Description
[<mask>] Only load atoms corresponding to <mask> from reference.
\end_layout

\begin_layout Description
([tag]) Tag to give this reference file, e.g.
 
\begin_inset Quotes eld
\end_inset

[MyRef]
\begin_inset Quotes erd
\end_inset

; BRACKETS MUST BE INCLUDED.
\end_layout

\begin_layout Description
[lastframe] Use last frame of reference.
\end_layout

\begin_layout Description
[crdset] Use for COORDS data set named <name> instead of file.
\end_layout

\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<parmfile/tag>] Topology filename/tag to associate with reference (default
 first topology).
\end_layout

\begin_layout Description
[parmindex
\begin_inset space ~
\end_inset

<#>] Index of Topology to associate with reference (default 0, first topology).
\end_layout

\end_deeper
\begin_layout Standard
Use specified trajectory as reference coordinates.
 For trajectories with multiple frames, the first frame is used if a specific
 frame is not specified.
 An optional tag can be given (bounded in brackets) which can then be used
 in place of the name (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:Parameter/Reference-Tagging"

\end_inset

 for examples of how to use tags).
 If desired, an atom mask can be used to read in only specified atoms from
 a reference.
\end_layout

\begin_layout Standard
Reference coordinates are now considered COORDS data sets and can be used
 anywhere a COORDS data set could, which allows reference structures to
 be manipulated once they are loaded.
 For example, a reference structure could be centered on the origin like
 so:
\end_layout

\begin_layout LyX-Code
reference tz2.rst7 [MyRef]
\end_layout

\begin_layout LyX-Code
crdaction [MyRef] center origin
\end_layout

\begin_layout Standard
Note that the 'average' keyword has been deprecated for reference.
 If desired, an averaged reference COORDS data set can be created from a
 trajectory using the 'average' command like so:
\end_layout

\begin_layout LyX-Code
parm myparm.parm7
\end_layout

\begin_layout LyX-Code
trajin mytraj.nc
\end_layout

\begin_layout LyX-Code
rms first :1-12
\end_layout

\begin_layout LyX-Code
average crdset RefAvg
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
rms ToAvg reference :1-12 out ToAvg.dat
\end_layout

\begin_layout Subsection
trajin 
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_trajin"

\end_inset


\end_layout

\begin_layout LyX-Code
trajin
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
trajin
\end_layout

\end_inset

 <filename> {[<start> [<stop> | last] [<offset>]]} | lastframe
\end_layout

\begin_layout LyX-Code
       [parm <parmfile / tag> | parmindex <#>]
\end_layout

\begin_layout LyX-Code
       [mdvel <velocities>] [mdfrc <forces>]
\end_layout

\begin_layout LyX-Code
       [as <format keyword>] [ <Format Options> ]
\end_layout

\begin_layout LyX-Code
       [ remdtraj {remdtrajtemp <Temperature> | remdtrajidx <idx1,idx2,...>
 
\end_layout

\begin_layout LyX-Code
                   | remdtrajvalues <value1,value2,...>}
\end_layout

\begin_layout LyX-Code
                  [trajnames <file1>,<file2>,...,<fileN>] ]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<filename> Trajectory file to read in.
\end_layout

\begin_layout Description
[<start>] Frame to begin reading at (default 1).
 If a negative value is given it means 
\begin_inset Quotes eld
\end_inset

<start> frames before <stop>
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Description
[<stop>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

last] Frame to stop reading at; if not specified or 'last' specified, end
 of trajectory.
\end_layout

\begin_layout Description
[<offset>] Offset for reading in trajectory frames (default 1).
\end_layout

\begin_layout Description
[lastframe] Select only the final frame of the trajectory.
\end_layout

\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<parmfile/tag>] Topology filename/tag to associate with trajectory (default
 first topology).
\end_layout

\begin_layout Description
[parmindex
\begin_inset space ~
\end_inset

<#>] Index of Topology to associate with trajectory (default 0, first topology).
\end_layout

\begin_layout Description
[mdvel
\begin_inset space ~
\end_inset

<velocities>] Use velocities from specified file.
\end_layout

\begin_layout Description
[mdfrc
\begin_inset space ~
\end_inset

<forces>] Use forces from specified file.
\end_layout

\begin_layout Description
[as
\begin_inset space ~
\end_inset

<format
\begin_inset space ~
\end_inset

keyword>] Force file to be read as specified format; overrides file autodetectio
n.
\end_layout

\begin_layout Description
[<Format
\begin_inset space ~
\end_inset

Options>] See below.
\end_layout

\begin_layout Description
[remdtraj] Read <filename> as the first replica in a group of replica trajectori
es.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
remdtrajtemp
\begin_inset space ~
\end_inset

<Temperature>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

remdtrajidx
\begin_inset space ~
\end_inset

<idx1,idx2,...> Use frames at <Temperature> (for temperature replica trajectories)
 or index <idx1,idx2,...> (for Hamiltonian replica trajectories); For Multidimensio
nal REMD simulations, multiple values are comma-separated.
\end_layout

\begin_layout Description
remdtrajvalues
\begin_inset space ~
\end_inset

<value1,value2,...> Use frames at <value1,value2,...> (for Multidimensional REMD
 trajectories).
 Each value may correspond to either temperature, pH, Redox Potential or
 Hamiltonian index.
 The values need to be entered in the same order as the dimensions in the
 Multidimensional REMD simulation.
 For example, for T,pH-REMD value1 would correspond to a temperature and
 value2 to a pH.
 In the command, the values are comma-separated.
\end_layout

\begin_layout Description
[trajnames
\begin_inset space ~
\end_inset

<file1>,...,<fileN>] Do not automatically search for additional replica trajectorie
s; use comma-separated list of trajectory names.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Read in trajectory specified by filename.
 See page 
\begin_inset CommandInset ref
LatexCommand pageref
reference "tab:cpptraj-trajformats"

\end_inset

 for currently recognized trajectory file formats.
 If just the <start> argument is given, all frames from <start> to the last
 frame of the trajectory will be read.
 To read in a trajectory with offsets where the last frame # is not known,
 specify the 
\series bold
last
\series default
 keyword instead of a <stop> argument, e.g.
\end_layout

\begin_layout LyX-Code
trajin Test1.crd 10 last 2
\end_layout

\begin_layout Standard
This will process Test1.crd from frame 10 to the last frame, skipping by
 2 frames.
 To explicitly select only the last frame, specify the 
\series bold
lastframe
\series default
 keyword:
\end_layout

\begin_layout LyX-Code
trajin Test1.crd lastframe
\end_layout

\begin_layout Standard
Here is an example of loading in multiple trajectories which have difference
 topology files:
\end_layout

\begin_layout LyX-Code
parm top0.parm7
\end_layout

\begin_layout LyX-Code
parm top1.parm7
\end_layout

\begin_layout LyX-Code
parm top2.parm7 [top2]
\end_layout

\begin_layout LyX-Code
parm top3.parm7
\end_layout

\begin_layout LyX-Code
trajin Test0.crd
\end_layout

\begin_layout LyX-Code
trajin Test1.crd parm top1.parm7
\end_layout

\begin_layout LyX-Code
trajin Test2.crd parm [top2]
\end_layout

\begin_layout LyX-Code
trajin Test3.crd parmindex 3
\end_layout

\begin_layout Standard
Test0.crd is associated with top0.parm7; since no parm was specified it defaulted
 to the first parm read in.
 Test1.crd was associated with top1.parm7 by filename, Test2.crd was associated
 with top2.parm7 by its tag, and finally Test3.crd was associated with top3.parm7
 by its index (based on the order it was read in).
\end_layout

\begin_layout Subsubsection*
Replica Trajectory Processing
\end_layout

\begin_layout Standard
If the 
\series bold
remdtraj
\series default
 keyword is specified the trajectory is treated as belonging to the lowest
 # replica of a group of REMD trajectories.
 The remaining replicas can be either automatically detected by following
 a naming convention of <REMDFILENAME>.X, where X is the replica number,
 or explicitly specified in a comma-separated list following the 
\series bold
trajnames
\series default
 keyword.
 All trajectories will be processed at the same time, but only frames with
 a temperature matching the one specified by 
\series bold
remdtrajtemp
\series default
 or 
\series bold
remdtrajidx
\series default
 will be processed.
 For example, to process replica trajectories rem.001, rem.002, rem.003, and
 rem.004, grabbing only the frames at temperature 300.0 (assuming that this
 is a temperature in the ensemble):
\end_layout

\begin_layout LyX-Code
trajin rem.001 remdtraj remdtrajtemp 300
\end_layout

\begin_layout Standard
or
\end_layout

\begin_layout LyX-Code
trajin rem.001 remdtraj remdtrajtemp 300 trajnames rem.002,rem.003,rem.004
\end_layout

\begin_layout Standard
Note that the 
\series bold
remdout
\series default
 keyword is deprecated.
 For this functionality see the 
\series bold
ensemble
\series default
 keyword.
\end_layout

\begin_layout Subsubsection

\emph on
Options for Amber NetCDF, Amber NC Restart, Amber Restart:
\end_layout

\begin_layout LyX-Code
  [usevelascoords] [usefrcascoords]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
usevelascoords Read in velocities in place of coordinates if present.
\end_layout

\begin_layout Description
usefrcascoords Read in forces in place of coordinates if present.
\end_layout

\end_deeper
\begin_layout Subsubsection

\emph on
Options for CHARMM DCD:
\end_layout

\begin_layout LyX-Code
[{ucell | shape}]
\end_layout

\begin_deeper
\begin_layout Description
ucell Force reading of box information as unit cell (for e.g.
 NAMD DCD trajectories).
\end_layout

\begin_layout Description
shape Force reading of box information as shape matrix.
\end_layout

\end_deeper
\begin_layout Subsubsection
Options for PDB files:
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-trajin-pdb"

\end_inset


\end_layout

\begin_layout LyX-Code
[keepaltloc <char>]
\end_layout

\begin_deeper
\begin_layout Description
[keepaltloc
\begin_inset space ~
\end_inset

<char>] If specified, only keep alternate atom location IDs matching the
 specified character 
\series bold
<char>
\series default
.
\end_layout

\end_deeper
\begin_layout Standard
Note that if 
\series bold
keepaltloc
\series default
 is specified, the associated topology should not have alternate location
 IDs, i.e.
 if the topology is from a PDB the 
\series bold
keepaltloc
\series default
 keyword may need to be used with the 
\series bold
parm
\series default
 command (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-parm-pdb"
plural "false"
caps "false"
noprefix "false"

\end_inset

).
\end_layout

\begin_layout Subsection
trajout
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-trajout"

\end_inset


\end_layout

\begin_layout LyX-Code
trajout
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
trajout
\end_layout

\end_inset

 <filename> [<format>] [append] [nobox] [novelocity]
\end_layout

\begin_layout LyX-Code
        [notemperature] [notime] [noforce] [noreplicadim]
\end_layout

\begin_layout LyX-Code
        [parm <parmfile> | parmindex <#>] [onlyframes <range>] [title <title>]
\end_layout

\begin_layout LyX-Code
        [onlymembers <memberlist>]
\end_layout

\begin_layout LyX-Code
        [start <start>] [stop <stop>] [offset <offset>]
\end_layout

\begin_layout LyX-Code
        [ <Format Options> ]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<filename> Trajectory file to write to.
\end_layout

\begin_layout Description
[<format>] Keyword specifying output format (see Table 
\begin_inset CommandInset ref
LatexCommand vpageref
reference "tab:cpptraj-trajformats"

\end_inset

).
 If not specified format will be determined from extension, otherwise default
 to Amber trajectory.
\end_layout

\begin_layout Description
[append] If <filename> exists, frames will be appended to <filename>.
\end_layout

\begin_layout Description
[nobox] Do not write box coordinates to trajectory.
\end_layout

\begin_layout Description
[novelocity] Do not write velocities to trajectory.
\end_layout

\begin_layout Description
[notemperature] Do not write temperature to trajectory.
\end_layout

\begin_layout Description
[notime] Do not write time to trajectory.
\end_layout

\begin_layout Description
[noreplicadim] Do not write replica dimensions to trajectory.
\end_layout

\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<parmfile>] Topology filename/tag to associate with trajectory (default
 first topology).
\end_layout

\begin_layout Description
[parmindex
\begin_inset space ~
\end_inset

<#>] Index of Topology to associate with trajectory (default 0, first topology).
\end_layout

\begin_layout Description
[onlyframes
\begin_inset space ~
\end_inset

<range>] Write only the specified input frames to <filename>.
\end_layout

\begin_layout Description
[title
\begin_inset space ~
\end_inset

<title>] Output trajectory title.
\end_layout

\begin_layout Description
[onlymembers
\begin_inset space ~
\end_inset

<memberlist>] Ensemble processing only; only write from specified members
 (starting from 0).
\end_layout

\begin_layout Description
[start
\begin_inset space ~
\end_inset

<start>] Begin output at frame <start> (1 by default).
\end_layout

\begin_layout Description
[stop
\begin_inset space ~
\end_inset

<stop>] End output at frame <stop> (last frame by default).
\end_layout

\begin_layout Description
[offset
\begin_inset space ~
\end_inset

<offset>] Skip <offset> frames between each output (1 by default).
\end_layout

\end_deeper
\begin_layout Standard
During a run, write frames to trajectory specified by filename in specified
 file format (Amber trajectory if none specified) after all Action processing
 has occurred.
 To write out trajectories within the Action queue see the outtraj Action
 (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_outtraj"

\end_inset

).
 See page 
\begin_inset CommandInset ref
LatexCommand pageref
reference "tab:cpptraj-trajformats"

\end_inset

 for currently recognized output trajectory formats and their associated
 keyword(s).
 Note that now the file type can be determined from the output extension
 if not specified by a keyword.
 Multiple output trajectories of any format can be specified.
 
\end_layout

\begin_layout Standard

\series bold
Frames will be written to the output trajectory when the parameter file
 being processed matches the parameter file the output trajectory was set
 up with.

\series default
 So given the input:
\end_layout

\begin_layout LyX-Code
parm top0.parm7
\end_layout

\begin_layout LyX-Code
parm top1.parm7 [top1]
\end_layout

\begin_layout LyX-Code
trajin input0.crd
\end_layout

\begin_layout LyX-Code
trajin input1.crd parm [top1]
\end_layout

\begin_layout LyX-Code
trajout output.crd parm [top1]
\end_layout

\begin_layout Standard
only frames read in from input1.crd (which is associated with top1.parm7)
 will be written to output.crd.
 The trajectory input0.crd is associated with top0.parm7; since no output
 trajectory is associated with top0.parm7 no frames will be written when
 processing top0.parm7/input0.crd.
\end_layout

\begin_layout Standard
If 
\series bold
onlyframes
\series default
 is specified, only input frames matching the specified range will be written
 out.
 For example, given the input:
\end_layout

\begin_layout LyX-Code
trajin input.crd 1 10
\end_layout

\begin_layout LyX-Code
trajout output.crd onlyframes 2,5-7
\end_layout

\begin_layout Standard
only frames 2, 5, 6, and 7 from input.crd will be written to output.crd.
\end_layout

\begin_layout Subsubsection*
Cell not X-aligned Warning
\end_layout

\begin_layout Standard
Certain Actions (e.g.
 
\series bold
\emph on
align
\series default
\emph default
, 
\series bold
\emph on
rms
\series default
\emph default
, 
\series bold
\emph on
principal
\series default
\emph default
, etc.) can rotate the unit cell vectors (i.e.
 the box) if they are present.
 Some trajectory formats do not support writing out box coordinates if the
 unit cell is not 
\begin_inset Quotes eld
\end_inset

X-aligned
\begin_inset Quotes erd
\end_inset

; in other words, if the unit cell 
\begin_inset Quotes eld
\end_inset

A
\begin_inset Quotes erd
\end_inset

 vector is not aligned with the coordinate X-axis and the 
\begin_inset Quotes eld
\end_inset

B
\begin_inset Quotes erd
\end_inset

 vector is not in the X-Y plane.
 If this is the case, the following warnings may appear:
\end_layout

\begin_layout LyX-Code
Warning: Unit cell is not X-aligned.
 Box cannot be properly stored as <format>.
\end_layout

\begin_layout LyX-Code
Warning: Set <#>; unit cell is not X-aligned.
 Box cannot be properly stored as <format>.
\end_layout

\begin_layout Standard
This means that the frame will be written with the X-aligned unit cell instead
 of the actual unit cell.
 Imaging will not be possible with a trajectory written this way.
 Currently the only trajectory formats that support writing non-X-aligned
 cells are the Gromacs TRR and XTC formats.
\end_layout

\begin_layout Standard
If unit cell information is no longer needed, it can be removed (via e.g.
 the 
\series bold
\emph on
box
\series default
\emph default
 action, the 
\series bold
\emph on
strip
\series default
\emph default
 action with the 
\series bold
'nobox'
\series default
 keyword, etc.) to prevent these warnings from triggering.
\end_layout

\begin_layout Subsubsection

\shape italic
Options for pdb format
\end_layout

\begin_layout LyX-Code
  [dumpq | parse | vdw] [pdbres] [pdbatom]
\end_layout

\begin_layout LyX-Code
  [pdbv3] [teradvance] [terbyres | pdbter | noter] 
\end_layout

\begin_layout LyX-Code
  [model | multi] [chainid <ID>] [sg <group>]
\end_layout

\begin_layout LyX-Code
  [include_ep] [conect] [conectmode <m>] [keepext] [usecol21]
\end_layout

\begin_layout LyX-Code
  [bfacdefault <#>] [occdefault <#>]
\end_layout

\begin_layout LyX-Code
  [bfacdata <set>] [occdata <set>] [bfacbyres] [occbyres]
\end_layout

\begin_layout LyX-Code
  [bfacscale] [occscale] [bfacmax <max>] [occmax <max>]
\end_layout

\begin_layout LyX-Code
  [adpdata <set>]
\end_layout

\begin_deeper
\begin_layout Description
dumpq PQR format; write charges (in units of e-) and GB radii to occupancy
 and B-factor columns respectively.
\end_layout

\begin_layout Description
parse PQR format; write charges and PARSE radii to occupancy/B-factor columns.
\end_layout

\begin_layout Description
vdw PQR format; write charges and vdW radii to occupancy/B-factor columns.
\end_layout

\begin_layout Description
pdbres Use PDB V3 residue names.
 Will write a default chain ID ('Z') for each residue if the corresponding
 topology does not have chain ID information.
\end_layout

\begin_layout Description
pdbatom Use PDB V3 atom names.
\end_layout

\begin_layout Description
pdbv3 Use PDB V3 residue/atom names.
 Same as specifying 'pdbres' and 'pdbatom'.
\end_layout

\begin_layout Description
topresnum Use topology residue numbers; otherwise use original residue numbers.
\end_layout

\begin_layout Description
teradvance Increment record (atom) number for TER records (not done by default).
\end_layout

\begin_layout Description
terbyres Print TER cards based on residue sequence instead of molecules.
\end_layout

\begin_layout Description
pdbter Print TER cards according to original PDB TER (if available).
\end_layout

\begin_layout Description
noter Do not write TER cards.
\end_layout

\begin_layout Description
model (Default) Frames will be written to a single PDB file separated by
 MODEL/ENDMDL keywords.
\end_layout

\begin_layout Description
multi Each frame will be written to a separate file with the frame # appended
 to <filename>.
\end_layout

\begin_layout Description
chainid
\begin_inset space ~
\end_inset

<ID> Write PDB file with chain ID <ID>.
\end_layout

\begin_layout Description
sg
\begin_inset space ~
\end_inset

<group> Space group for CRYST1 record; only used if box coordinates written.
\end_layout

\begin_layout Description
include_ep Include extra points.
\end_layout

\begin_layout Description
conect Write CONECT records for all bonds.
\end_layout

\begin_layout Description
conectmode
\begin_inset space ~
\end_inset

<m> Write CONECT records for <m>='all' (all bonds), 'het' (HETATM only),
 'none' (no CONECT).
\end_layout

\begin_layout Description
keepext Keep filename extension; write '<name>.<num>.<ext>' instead (implies
 'multi').
\end_layout

\begin_layout Description
usecol21 Use column 21 for 4-letter residue names.
\end_layout

\begin_layout Description
bfacdefault
\begin_inset space ~
\end_inset

<#> Default value to use in B-factor column (default 0.0).
\end_layout

\begin_layout Description
occdefault
\begin_inset space ~
\end_inset

<#> Default value to use in occupancy column (default 1.0).
\end_layout

\begin_layout Description
bfacdata
\begin_inset space ~
\end_inset

<set> Use data in <set> for B-factor column.
\end_layout

\begin_layout Description
occdata
\begin_inset space ~
\end_inset

<set> Use data in <set> for occupancy column.
\end_layout

\begin_layout Description
bfacbyres If specified assume X values in B-factor data set are residue
 numbers.
\end_layout

\begin_layout Description
occbyres If specified assume X values in occupancy data set are residue
 numbers.
\end_layout

\begin_layout Description
bfacscale If specified scale values in B-factor column between 0 and <bfacmax>.
\end_layout

\begin_layout Description
occscale If specified scale values in occupancy column between 0 and <occmax>.
\end_layout

\begin_layout Description
bfacmax
\begin_inset space ~
\end_inset

<max> Max value for bfacscale.
\end_layout

\begin_layout Description
occmax
\begin_inset space ~
\end_inset

<max> Max value for occscale.
\end_layout

\begin_layout Description
adpdata
\begin_inset space ~
\end_inset

<set> Use data in <set> (e.g.
 from the 
\series bold
\emph on
atomicfluct
\series default
\emph default
 command, 
\begin_inset CommandInset ref
LatexCommand vpageref
reference "subsec:cpptraj_atomicfluct"
plural "false"
caps "false"
noprefix "false"

\end_inset

) for anisotropic B-factors.
\end_layout

\end_deeper
\begin_layout Subsubsection

\shape italic
Options for Amber ASCII format:
\end_layout

\begin_layout LyX-Code
  [remdtraj] [highprecision] [mdvel|mdfrc]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
remdtraj Write REMD header to trajectory that includes temperature: 'REMD
 <Replica> <Step> <Total_Steps> <Temperature>'.
 Since 
\shape italic
cpptraj
\shape default
 has no concept of replica number, 0 is printed for <Replica>.
 <Step> and <Total_Steps> are set to the current frame #.
\end_layout

\begin_layout Description
highprecision (EXPERT USE ONLY) Write with 8.6 precision instead of 8.3.
 Note that since the width does not change, the precision of large coords
 may be lower than 6.
\end_layout

\begin_layout Description
mdvel Write velocities instead of coordinates.
\end_layout

\begin_layout Description
mdfrc Write forces instead of coordinates.
\end_layout

\end_deeper
\begin_layout Subsubsection

\shape italic
Options for Amber NetCDF format:
\end_layout

\begin_layout LyX-Code
  [remdtraj] [mdvel] [mdfrc] [mdcrd]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
remdtraj Write replica temperature to trajectory.
\end_layout

\begin_layout Description
mdvel Write only velocity information in trajectory.
\end_layout

\begin_layout Description
mdfrc Write only force information in trajectory.
\end_layout

\begin_layout Description
mdcrd Write coordinates to trajectory (only required with mdvel/mdfrc).
\end_layout

\end_deeper
\begin_layout Subsubsection

\shape italic
Options for Amber Restart/NetCDF Restart format:
\end_layout

\begin_layout LyX-Code
  [remdtraj] [novelocity] [notime] [time0 <initial time>] [dt <timestep>]
 [keepext]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
remdtraj Write replica temperature to restart.
 Note that this will automatically include time in the restart file (see
 the 
\series bold
time0
\family typewriter
\series default
 keyword
\family default
).
\end_layout

\begin_layout Description
time0
\begin_inset space ~
\end_inset

<initial
\begin_inset space ~
\end_inset

time> Time for first frame (default 1.0).
\end_layout

\begin_layout Description
dt
\begin_inset space ~
\end_inset

<timestep> Time step between frames (default 1.0).
 Time is calculated as t=(time0+frame)*dt.
\end_layout

\begin_layout Description
keepext Keep filename extension; write '<name>.<num>.<ext>' instead.
\end_layout

\end_deeper
\begin_layout Subsubsection

\emph on
Options for CHARMM COORdinates:
\end_layout

\begin_layout LyX-Code
[keepext] [ext] [segid <segid>] [segmask <mask> <segid> ...]
\end_layout

\begin_deeper
\begin_layout Description
keepext Keep filename extension; write '<name>.<num>.<ext>'
\end_layout

\begin_layout Description
ext Use 'extended' format (default when > 99999 atoms).
\end_layout

\begin_layout Description
segid
\begin_inset space ~
\end_inset

<segid> Use <segid> as segment ID for all atoms.
\end_layout

\begin_layout Description
segmask
\begin_inset space ~
\end_inset

<mask>
\begin_inset space ~
\end_inset

<segid> Use <segid> as segment ID for atoms selected by <mask>.
 Can be specified more than once.
\end_layout

\end_deeper
\begin_layout Subsubsection

\emph on
Options for CHARMM DCD:
\end_layout

\begin_layout LyX-Code
[x64] [ucell] [veltraj]
\end_layout

\begin_deeper
\begin_layout Description
x64 Use 8 byte block size (default 4 bytes).
\end_layout

\begin_layout Description
ucell Write older (v21) format trajectory that stores unit cell params instead
 of shape matrix.
\end_layout

\begin_layout Description
veltraj Write velocity trajectory instead of coordinates.
\end_layout

\end_deeper
\begin_layout Standard
Note that by default CPPTRAJ will try to write the symmetric shape matrix
 if box information is present.
 If this is not possible, CPPTRAJ will fall back to writing unit cell parameters
 (lengths and angles) as long as the cell is X-aligned.
\end_layout

\begin_layout Subsubsection

\emph on
Options for GROMACS TRX/XTC format:
\end_layout

\begin_layout LyX-Code
[dt <time step>]
\end_layout

\begin_deeper
\begin_layout Description
dt Time step tp multiply set numbers by (default 1.0).
 Ignored if time already present.
\end_layout

\end_deeper
\begin_layout Standard
Note: these formats can write rotated (i.e.
 non-X-aligned) unit cells.
\end_layout

\begin_layout Subsubsection

\shape italic
Options for mol2 format:
\end_layout

\begin_layout LyX-Code
  [single | multi] [sybyltype] [sybylatom <file>] [sybylbond <file>] [keepext]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
single (Default) Frames will be written to a single Mol2 file separated
 by MOLECULE keywords.
\end_layout

\begin_layout Description
multi Each frame will be written to a separate file with the frame # appended
 to <filename>.
\end_layout

\begin_layout Description
sybyltype Convert Amber atom types (if present) to SYBYL types.
 Requires $AMBERHOME is set.
\end_layout

\begin_layout Description
sybylatom File containing Amber to SYBYL atom type correspondance (optional).
\end_layout

\begin_layout Description
sybylbond File containing Amber to SYBYL bond type correspondance (optional).
\end_layout

\begin_layout Description
keepext Keep filename extension; write '<name>.<num>.<ext>' instead (implies
 'multi').
\end_layout

\end_deeper
\begin_layout Subsubsection
Options for SQM input format:
\end_layout

\begin_layout LyX-Code
  [charge <c>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
charge
\begin_inset space ~
\end_inset

<c> Set total integer charge.
 If not specified it will be calculated from atomic charges.
\end_layout

\end_deeper
\begin_layout Subsubsection
Options for XYZ format:
\end_layout

\begin_layout LyX-Code
ftype {atomxyz|xyz} titletype {none|single|perframe} width <#> prec <#>
\end_layout

\begin_deeper
\begin_layout Description
ftype
\begin_inset space ~
\end_inset

{atomxyz|xyz} Choose either 'ATOM X Y Z' (default) or 'X Y Z' output format.
\end_layout

\begin_layout Description
titletype
\begin_inset space ~
\end_inset

{none|single|perframe} No title, one title (default), or title before every
 frame.
\end_layout

\begin_layout Description
width
\begin_inset space ~
\end_inset

<#> Output format width.
\end_layout

\begin_layout Description
prec
\begin_inset space ~
\end_inset

<#> Output format precision.
\end_layout

\end_deeper
\begin_layout Section
Action Commands
\begin_inset CommandInset label
LatexCommand label
name "sec:cpptraj_actions"

\end_inset


\end_layout

\begin_layout Standard
Actions in 
\emph on
cpptraj
\emph default
 operate on frames read in by the 
\series bold
\emph on
trajin
\series default
\emph default
 or 
\series bold
\emph on
ensemble
\series default
\emph default
 commands one at a time and extract derived data, modify the coordinates/topolog
y in some way, or both.
 Most Actions in 
\shape italic
cpptraj
\shape default
 function exactly the way they do in 
\shape italic
ptraj
\shape default
 and are backwards-compatible.
 Some Action commands in 
\emph on
cpptraj
\emph default
 have extra functionality compared to 
\emph on
ptraj
\emph default
 (such as the per-residue RMSD function of the 
\series bold
\emph on
rmsd
\series default
\emph default
 Action, or the ability to write out stripped topologies for visualization
 in the 
\series bold
\emph on
strip
\series default
\emph default
 Action), while other Actions produce slightly different output (like the
 
\series bold
\emph on
hbond
\series default
\emph default
/
\series bold
\emph on
secstruct
\series default
\emph default
 Actions).
\end_layout

\begin_layout Standard
Unlike some other command types, when an Action command is issued it is
 by default added to the Action queue and is not executed until trajectory
 processing is started (e.g.
 by a 
\series bold
\emph on
run
\series default
\emph default
 or 
\series bold
\emph on
go
\series default
\emph default
 command).
 However, Actions can be executed immediately on COORDS data sets via the
 
\series bold
\emph on
crdaction
\series default
\emph default
 command (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_crdaction"

\end_inset

).
\end_layout

\begin_layout Standard
When a frame is modified by an Action, it is modified for every Action that
 follows them during trajectory processing.
 For example, given a solvated system with water residues named WAT and
 the following Action commands:
\end_layout

\begin_layout LyX-Code
rmsd R1 first :WAT out water-rmsd.dat
\end_layout

\begin_layout LyX-Code
strip :WAT
\end_layout

\begin_layout LyX-Code
rmsd R2 first :WAT out water-rmsd-2.dat
\end_layout

\begin_layout Standard
the first 
\series bold
\emph on
rms
\series default
\emph default
 command will be valid, but the second 
\series bold
\emph on
rms
\series default
\emph default
 command will not since all residues named WAT are removed from the state
 by the 
\series bold
\emph on
strip
\series default
\emph default
 command.
\end_layout

\begin_layout Standard
Note that for commands which can use a reference mask as well as a target
 mask (e.g.
 
\series bold
\emph on
rms
\series default
\emph default
, 
\series bold
\emph on
drmsd
\series default
\emph default
, 
\series bold
\emph on
symmrmsd
\series default
\emph default
, etc.) there must be a 1 to 1 correspondence between the atoms in each mask,
 i.e.
 the 
\emph on
number of atoms and the ordering of selected atoms must be the same
\emph default
.
\end_layout

\begin_layout Standard
The following Actions are available.
 If an Action may modify coordinate/topology information for subsequent
 Actions it is denoted with an X in the 
\family typewriter
\series bold
Mod
\family default
\series default
 column.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="87" columns="3">
<features islongtable="true" longtabularalignment="center">
<column alignment="center" valignment="top" width="25text%">
<column alignment="center" valignment="top" width="65text%">
<column alignment="center" valignment="top" width="10text%">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Command
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Description
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Mod
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
align
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Align structure to a reference.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
angle
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the angle between three points.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
areapermol
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate area per molecule for molecules in a specified plane.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
atomiccorr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate average correlation between motions of specified atoms.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
atomicfluct, rmsf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate root mean square fluctuation of specified atoms/residues.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
atommap
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Attempt to create a map between atoms in molecules with different atom ordering.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
autoimage
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Automatically re-image coordinates.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
average
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate average structure.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
bounds
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the min/max coordinates for specified atoms.
 Can be used to create grid data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
box
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Set or overwrite box information for frames.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
center
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Center specified coordinates to box center or onto reference structure.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
check, checkoverlap,
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Check for bad atomic overlaps or bond lengths.
 
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
 checkstructure
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Can be used to skip corrupted frames.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
checkchirality
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Report chirality around alpha carbons in amino acids (L, D).
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
closest, closestwaters
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Retain only the specified number of solvent molecules closest to specified
 solute.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
clusterdihedral
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Assign frames into clusters based on binning of backbone dihedral angles
 in amino acids.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
contacts
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Older version of 
\series bold
\emph on
nativecontacts
\series default
\emph default
, retained for backwards compatibility.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
createcrd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Create a COORDS data set from input frames.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
createreservoir
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Create a structure reservoir for use with reservoir REMD simulations.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
density
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate density along a coordinate.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
diffusion
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate translational diffusion of molecules.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
dihedral
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the dihedral angle using four points.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
dihrms
\end_layout

\begin_layout Plain Layout
dihedralrms
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the RMSD of dihedrals to dihedrals in a reference structure.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
dipole
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Bin dipoles of solvent molecules in 3D grid.
 Not well tested, may be obsolete.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
distance
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the distance between two points.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
drms, drmsd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the RMSD of distance pairs within selected atoms.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
dssp, secstruct
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate secondary structure content using the DSSP algorithm
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
energy
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate simple bond, angle, dihedral, and non-bonded energy terms (no
 PME).
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
esander
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate energies using via SANDER; requires compilation with the SANDER
 API.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
filter
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Filter frames for subsequent Actions using data sets and user defined criteria.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
fixatomorder
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Fix atom ordering so that all atoms in molecules are sequential.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
fiximagedbonds
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Fix bonds which have been split across periodic boundaries by imaging.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
gist
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform grid inhomogenous solvation theory.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
grid
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Bin selected atoms on a 3D grid.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
hbond
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate hydrogen bonds using geometric criteria.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
image
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Re-image coordinates.
 The 
\series bold
\emph on
autoimage
\series default
\emph default
 command typically provides better results.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
jcoupling
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate J-coupling values from specified dihedral angles.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
lessplit
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Split/average frames from LES trajectories.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
lie
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate linear interaction energy between user-specified ligand and surroundin
gs.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
lipidorder
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate order parameters for lipids in planar membranes.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
lipidscd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate lipid order parameters SCD (|<P2>|) for lipid chains.
 Automatically identifies lipids.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
makestructure
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Modify structure by applying dihedral values to specified residues.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
mask
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Print the results of selection by specified atom mask.
 Good for distnace-based masks.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
matrix
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate a matrix of the specified type from input coordinates.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
minimage
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate minimum non-self imaged distance between atoms in specified masks.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
molsurf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate Connolly surface area of specified atoms.
 Cannot do partial surface areas.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
multidihedral
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate multiple dihedral angles of specified/given types.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
multivector
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate multiple vectors between specified atoms.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
nastruct
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform nucelic acid structure analysis.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
nativecontacts
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate native contacts within a region or between two regions using a
 given reference.
 
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Can also be used to get min/max distances between groups of atoms.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
outtraj
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Write frames to a trajectory file within a list of Actions.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pairdist
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate pair distribution function.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pairwise
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate pair-wise non-bonded energies.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
principal
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate and optionally align system along principal axes.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
projection
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Project coordinates along given eigenvectors.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pucker
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate ring pucker using five or six points.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
radgyr, rog
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate radius of gyration (and optionally tensor) for specified atoms.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
radial, rdf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate radial distribution function.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
randomizeions
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Swap specified ions with randomly selected solvent molecules.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
remap
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Re-map atoms according to a given data set.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
replicatecell
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Replicate unit cell in specified (or all) directions for specfied atoms
 and write to trajectory.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
rms, rmsd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform best fit of coordinates to reference and calculate coordinate RMSD.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
 Fitting can be disabled.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
rotate
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Rotate the system around X/Y/Z axes, a specified axis, or via given rotation
 matrices.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
runavg, 
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the running average of coordinates over specified window size.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
runningaverage
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
scale
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Scale coordinates in X/Y/Z directions by specified factors.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
setvelocity
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\family roman
\series medium
\shape up
\size normal
\emph off
\bar no
\strikeout off
\uuline off
\uwave off
\noun off
\color none
Set velocities for specified atoms using Maxwellian distribution
\family default
\series default
\shape default
\size default
\emph default
\bar default
\strikeout default
\uuline default
\uwave default
\noun default
\color inherit
 based on given temperature.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
spam
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
SPAM method for estimating relative free energies of waters in hydration
 shell around proteins.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
stfcdiffusion
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Alternative translational diffusion calculation which can calculate diffusion
 in specified regions.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
strip
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Remove specified atoms from the system.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
surf
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the LCPO surface area of specified atoms.
 Can do partial surface areas.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
symmrmsd
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate symmetry-corrected RMSD.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
temperature
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate system temperature using velocities of specified atoms.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
time
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Add/remove/modify time information in frames.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
trans, translate
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Translate specified atoms by specified amounts in X/Y/Z directions.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
unstrip
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Undo all previous 
\series bold
\emph on
strip
\series default
\emph default
 Action commands.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
unwrap
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Reverse of 
\series bold
\emph on
image
\series default
\emph default
; unwrap selected atoms so they have continuous trajectories.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
vector
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate various types of vector quantities.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
velocityautocorr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate velocity autocorrelation function.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
volmap
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Create volumetric map for specified coordinates; similar to 
\series bold
\emph on
grid
\series default
\emph default
 but takes
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
 into account atomic radii.
 Similar to VMD 
\series bold
\emph on
volmap
\series default
\emph default
.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
volume
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate unit cell volume.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
watershell
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the number of waters in the first and second solvation shells
 based on distance critera.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
xtalsymm
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Re-image coordinates based on crystal space group symmetry operations and
 asymmetric unit volume.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
X
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsection
align
\end_layout

\begin_layout LyX-Code
align <mask> [<refmask>] [move <mask>] [mass]
\end_layout

\begin_layout LyX-Code
  	[ first | reference | ref <name> | refindex <#> | previous |
\end_layout

\begin_layout LyX-Code
        reftraj <name> [parm <name> | parmindex <#>] ]
\end_layout

\begin_deeper
\begin_layout Description
<mask> Target atoms to fit.
\end_layout

\begin_layout Description
[<refmask>] Reference atoms to fit (default is target mask).
\end_layout

\begin_layout Description
[move
\begin_inset space ~
\end_inset

<mask>] Atoms to move when aligning (default is target mask).
\end_layout

\begin_layout Description
[mass] Mass-weight the fit.
\end_layout

\begin_layout Standard
Reference keywords:
\end_layout

\begin_layout Description

\series bold
first
\series default
 Use the first trajectory frame processed as reference.
\end_layout

\begin_layout Description

\series bold
reference
\series default
 Use the first previously read in reference structure (refindex 0).
\end_layout

\begin_layout Description

\series bold
ref
\begin_inset space ~
\end_inset

<name>
\series default
 Use previously read in reference structure specified by filename/tag.
\end_layout

\begin_layout Description

\series bold
refindex
\begin_inset space ~
\end_inset

<#>
\series default
 Use previously read in reference structure specified by <#> (based on order
 read in).
\end_layout

\begin_layout Description
previous Use frame prior to current frame as reference.
\end_layout

\begin_layout Description

\series bold
reftraj
\series default

\begin_inset space ~
\end_inset

<name> Use frames from COORDS set <name> or read in from trajectory file
 <name> as references.
 Each frame from <name> is used in turn, so that frame 1 is compared to
 frame 1 from <name>, frame 2 is compared to frame 2 from <name> and so
 on.
 If <trajname> runs out of frames before processing is complete, the last
 frame of <trajname> continues to be used as the reference.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<parmname>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#> If 
\series bold
reftraj
\series default
 specifies a trajectory file, associate it with specified topology; if not
 specified the first topology is used.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Align structure using specified <mask> onto reference.
 If 'move' is specified, only move atoms in the move mask.
\end_layout

\begin_layout Subsection
angle
\end_layout

\begin_layout LyX-Code
angle
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
angle
\end_layout

\end_inset

 [<dataset name>] <mask1> <mask2> <mask3> [out <filename>] [mass]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<dataset
\begin_inset space ~
\end_inset

name>] Output data set name.
\end_layout

\begin_layout Description
<maskX> Three atom masks selecting atom(s) to calculate angle for.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file name.
\end_layout

\begin_layout Description
[mass] Use center of mass of atoms in <maskX> instead of geometric center.
\end_layout

\end_deeper
\begin_layout Standard
Calculate angle (in degrees) between atoms in <mask1>, <mask2>, and <mask3>.
 For example, to calculate the angle between the first three atoms in the
 system:
\end_layout

\begin_layout LyX-Code
angle A123 @1 @2 @3 out A123.agr
\end_layout

\begin_layout Subsection
areapermol
\end_layout

\begin_layout LyX-Code
areapermol [<name>] {[<mask1>] [nlayers <#>] | nmols <#>} [out <filename>]
\end_layout

\begin_layout LyX-Code
           [{xy | xz | yz}]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Data set name.
\end_layout

\begin_layout Description
[<mask1>] Atom mask for selecting molecules.
 If any atom in a molecule is selected the whole molecule is selected.
\end_layout

\begin_layout Description
[nlayers
\begin_inset space ~
\end_inset

<#>] Number of layers of molecules.
 Total number of molecules used will be # molecules divided by # layers.
\end_layout

\begin_layout Description
[nmols
\begin_inset space ~
\end_inset

<#>] If <mask1> is not specified, the number of molecules to use when calculatin
g area per molecule.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file name.
\end_layout

\begin_layout Description
[{xy|xz|yz}] Cross-section of box to calculate area of.
 Default is X-Y.
\end_layout

\end_deeper
\begin_layout Standard
Calculate area per molecule as Area / # molecules.
 The area is determined from the specified cross-section of the box (X-Y
 by default).
 Currently the calculation is only guaranteed to work properly with orthorhombic
 unit cells.
 For example, to get the area per molecule of residues named 
\begin_inset Quotes eld
\end_inset

OL
\begin_inset Quotes erd
\end_inset

 which are arranged in 2 layers:
\end_layout

\begin_layout LyX-Code
areapermol OL_area :OL nlayers 2 out apm.dat
\end_layout

\begin_layout Subsection
atomiccorr
\end_layout

\begin_layout LyX-Code
atomiccorr [<mask>] out <filename> [cut <cutoff>] [min <min spacing>]
\end_layout

\begin_layout LyX-Code
           [byatom | byres]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<mask> Atoms to calculate motion vectors for.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<filename> File to write results to.
\end_layout

\begin_layout Description
cut
\begin_inset space ~
\end_inset

<cutoff> Only print correlations with absolute value greater than <cutoff>.
\end_layout

\begin_layout Description
min
\begin_inset space ~
\end_inset

<min
\begin_inset space ~
\end_inset

spacing> Only calculate correlations for motion vectors spaced <min spacing>
 apart.
\end_layout

\begin_layout Description
byatom Default; calculate atomic motion vectors.
\end_layout

\begin_layout Description
byres Calculate motion vectors for entire residues (selected atoms in residues
 only).
\end_layout

\end_deeper
\begin_layout Standard
Calculate average correlations between the motion of atoms in <mask>.
 For each frame, a motion vector is calculated for each selected atom from
 its previous position to its current position.
 For each pair of motion vectors 
\shape italic
Va
\shape default
 and 
\shape italic
Vb
\shape default
, the average correlation between those vectors is calculated as the average
 of the dot product of those vectors over all 
\shape italic
N
\shape default
 frames.
 
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Formula $AvgCorr(a,b)=\frac{\sum V_{a}(i)\cdot V_{b}(i)}{N}$
\end_inset


\end_layout

\begin_layout Standard
The value of AvgCorr can range from 1.0 (correlated) to 0.0 (no correlation)
 to -1.0 (anti-correlated).
 For example, to calculate the correlation of motion vectors between residues
 1 to 13, writing to a Gnuplot-readable formatted file:
\end_layout

\begin_layout LyX-Code
atomiccorr :1-13 out acorr.gnu byres
\end_layout

\begin_layout Subsection
atomicfluct | rmsf
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_atomicfluct"

\end_inset


\end_layout

\begin_layout LyX-Code
atomicfluct
\begin_inset Index idx
status open

\begin_layout Plain Layout
atomicfluct
\end_layout

\end_inset

 [<name>] [out <filename>] [<mask>] [byres | byatom | bymask]
\end_layout

\begin_layout LyX-Code
            [bfactor] [calcadp [adpout <file>]]
\end_layout

\begin_layout LyX-Code
            [start <start>] [stop <stop>] [offset <offset>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<name> Output data set name.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<filename> Write data to file named <filename>
\end_layout

\begin_layout Description
[<mask>] Calculate fluctuations for atoms in <mask> (all if not specified).
\end_layout

\begin_layout Description
byres Output the average (mass-weighted) fluctuation by residue.
\end_layout

\begin_layout Description
bymask Output the average (mass-weighted) fluctuation for all atoms in <mask>.
\end_layout

\begin_layout Description
byatom
\begin_inset space ~
\end_inset

(default) Output the fluctuation by atom.
\end_layout

\begin_layout Description
[bfactor] Calculate atomic positional fluctuations squared and weight by
 
\begin_inset Formula $\frac{8}{3}\pi^{2}$
\end_inset

; this is similar but not necessarily equivalent to the calculation of crystallo
graphic B-factors.
\end_layout

\begin_layout Description
[calcadp
\begin_inset space ~
\end_inset

[adpout
\begin_inset space ~
\end_inset

<file>]] Calculate anisotropic displacement parameters and optionally output
 them to <file>.
\end_layout

\begin_layout Description
[<start>] Frame to begin calculation at (default 1).
\end_layout

\begin_layout Description
[<stop>] Frame to end calculation at (default last).
\end_layout

\begin_layout Description
[<offset>] Frames to skip between calculations (default 1).
\end_layout

\begin_layout Standard
DataSets created
\end_layout

\begin_layout Description
<name> Hold atomic fluctuations.
\end_layout

\begin_layout Description
<name>[ADP] Hold anisotropic displacement parameters if 'calcadp' specified.
\end_layout

\end_deeper
\begin_layout Standard
Compute the atomic positional fluctuations (also referred to as root-mean-square
 fluctuations, RMSF) for atoms specified in the 
\series bold
<mask>
\series default
.
 The RMSF of a given atom 
\emph on
i
\emph default
 is calculated as:
\end_layout

\begin_layout Standard
\align center
\begin_inset Formula $RMSF_{i}=\sqrt{\left\langle \left(x_{i}-\left\langle x_{i}\right\rangle \right)^{2}\right\rangle }$
\end_inset


\end_layout

\begin_layout Standard
where 
\emph on
x
\emph default
 denotes atomic positions and the averages are over all input frames.
\end_layout

\begin_layout Standard
Note that RMS fitting is not done implicitly.
 If you want fluctuations without rotations or translations (for example
 to the average structure), perform an RMS fit to the average structure
 (best) or the first structure (see 
\series bold
\shape italic
rmsd
\series default
\shape default
) prior to this calculation.
 The units are (Å) for RMSF or Å
\begin_inset Formula $^{\text{2}}$
\end_inset

 × 
\begin_inset Formula $\frac{8}{3}$
\end_inset


\begin_inset Formula $\pi^{2}$
\end_inset

 if 
\series bold
bfactor
\series default
 is specified.
\end_layout

\begin_layout Standard
If 
\series bold
byres
\series default
 or 
\series bold
bymask
\series default
 are specified, the mass-weighted average of atomic fluctuations of each
 atom for either each residue or the entire mask will be calculated respectively
:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Formula $\left\langle Fluct\right\rangle =\frac{\sum AtomFluct_{i}*Mass_{i}}{\sum Mass_{i}}$
\end_inset


\end_layout

\begin_layout Standard
If 
\series bold
calcadp
\series default
 is specified, anisotropic displacement factors for atoms will be calculated
 and written to the file specified by 
\series bold
adpout
\series default
 (or STDOUT if not specified) using PDB ANISOU record format.
 The displacement factors will be saved to a data set.
 Note that 
\series bold
calcadp
\series default
 automatically implies 
\series bold
bfactor
\series default
.
\end_layout

\begin_layout Standard
With 
\emph on
cpptraj
\emph default
 it is possible to perform coordinate averaging, the fit to average coordinates,
 and the atomic fluctuation calculation in a single execution like so:
\end_layout

\begin_layout LyX-Code
parm myparm.parm7
\end_layout

\begin_layout LyX-Code
trajin mytrajectory.crd
\end_layout

\begin_layout LyX-Code
rms first
\end_layout

\begin_layout LyX-Code
average crdset MyAvg
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
rms ref MyAvg
\end_layout

\begin_layout LyX-Code
atomicfluct out fluct.agr
\end_layout

\begin_layout Standard
To write the mass-weighted B-factors for the protein backbone atoms C, CA,
 and N, averaged by residue use the command:
\end_layout

\begin_layout LyX-Code
atomicfluct out back.agr @C,CA,N byres bfactor
\end_layout

\begin_layout Standard
To write the RMSF or atomic positional fluctuations of the same atoms, use
 the command:
\end_layout

\begin_layout LyX-Code
atomicfluct out backbone-atoms.agr @C,CA,N
\end_layout

\begin_layout Standard
To write a PDB of averaged coordinates (after fitting to the first frame)
 with both B-factors and anisotropic temperature factors:
\end_layout

\begin_layout LyX-Code
parm myparm.parm7
\end_layout

\begin_layout LyX-Code
trajin mytraj.nc
\end_layout

\begin_layout LyX-Code
rms first
\end_layout

\begin_layout LyX-Code
average crdset MyAvg
\end_layout

\begin_layout LyX-Code
atomicfluct MyFluct calcadp
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
crdout MyAvg mypdb.pdb adpdata MyFluct[ADP] bfacdata MyFluct
\end_layout

\begin_layout Subsection
atommap
\end_layout

\begin_layout LyX-Code
atommap
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
atommap
\end_layout

\end_inset

 <target> <reference> [mapout <filename>] [maponly]
\begin_inset Newline newline
\end_inset

        [rmsfit [ rmsout <rmsout> ]]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<target> Reference structure whose atoms will be remapped.
\end_layout

\begin_layout Description
<reference> Reference structure that 
\series bold
<target>
\series default
 should be mapped to.
\end_layout

\begin_layout Description
mapout
\begin_inset space ~
\end_inset

<filename> Write atom map to <filename> with format:
\begin_inset Newline newline
\end_inset

TargetAtomNumber TargetAtomName ReferenceAtomNumber ReferenceAtomName
\begin_inset Newline newline
\end_inset

Target atoms that cannot be mapped to a reference atom are denoted 
\begin_inset Quotes eld
\end_inset

\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Description
maponly Write atom map but do not reorder atoms.
\end_layout

\begin_layout Description
rmsfit Any input frames using the same topology as <target> will be RMS
 fit to <reference> using whatever atoms could be mapped.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
rmsout
\begin_inset space ~
\end_inset

<rmsout> If rmsfit specified, write resulting RMSDs to <rmsout>.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Attempt to map the atoms of <target> to those of <reference> based on structural
 similarity.
 This is useful e.g.
 when there are two files containing the same structure but with different
 atom names or atom ordering.
 Both <target> and <reference> need to have been read in with a previous
 
\series bold
\shape italic
reference
\series default
\shape default
 command.
 The state will then be modified so that any trajectory read in with the
 same parameter file as <target> will have its atoms mapped (i.e.
 reordered) to match those of <reference>.
 If the number of atoms that can be mapped in <target> are less than those
 in <reference>, the reference structure specified by <reference> will be
 modified to include only mapped atoms; this is useful if for example the
 reference structure is protonated with respect to the target.
 The 
\series bold
rmsfit
\series default
 keyword is useful in cases where the atom mapping will not be complete
 (e.g.
 two ligands with the same scaffold but different substituents).
\end_layout

\begin_layout Standard
For example, say you have the same ligand structure in two files, Ref.mol2
 and Lig.mol2, but the atom ordering in each file is different.
 To map the atoms in Lig.mol2 onto those of Ref.mol2 so that Lig.mol2 has the
 same ordering as Ref.mol2:
\end_layout

\begin_layout LyX-Code
parm Lig.mol2 
\end_layout

\begin_layout LyX-Code
reference Lig.mol2
\end_layout

\begin_layout LyX-Code
parm Ref.mol2 
\end_layout

\begin_layout LyX-Code
reference Ref.mol2 parmindex 1
\end_layout

\begin_layout LyX-Code
atommap Lig.mol2 Ref.mol2 mapout atommap.dat
\end_layout

\begin_layout LyX-Code
trajin Lig.mol2 
\end_layout

\begin_layout LyX-Code
trajout Lig.reordered.mol2 mol2
\end_layout

\begin_layout Subsection
autoimage
\end_layout

\begin_layout LyX-Code
autoimage [<mask> | anchor <mask> [fixed <mask>] [mobile <mask>]]
\end_layout

\begin_layout LyX-Code
          [origin] [firstatom] [familiar | triclinic]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<mask>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

anchor
\begin_inset space ~
\end_inset

<mask>] Atoms to image around; this is the region that will be centered.
 Default is the entire first molecule.
\end_layout

\begin_layout Description
[fixed
\begin_inset space ~
\end_inset

<mask>] Molecules that should remain 'fixed' to the anchor region; default
 is all non-ion/non-solvent molecules.
\end_layout

\begin_layout Description
[mobile
\begin_inset space ~
\end_inset

<mask>] Molecules that can be freely imaged; default is all ion/solvent
 molecules.
\end_layout

\begin_layout Description
[origin] Center anchor region at the origin; if not specified, center at
 box center.
\end_layout

\begin_layout Description
[firstatom] Image based on molecule first atom; default is to image by molecule
 center of mass.
\end_layout

\begin_layout Description
[familiar] Image to familiar truncated-octahedral shape; this is on by default
 if the original cell is truncated octahedron.
\end_layout

\begin_layout Description
[triclinic] Force general triclinic imaging.
\end_layout

\end_deeper
\begin_layout Standard
Automatically center and image (by molecule) a trajectory with periodic
 boundaries.
 For most cases just specifying 
\series bold
\shape italic
'autoimage'
\series default
\shape default
 alone is sufficient.
 The atoms of the 
\series bold
'anchor'
\series default
 region (default the entire first molecule) will be centered; all 
\series bold
'fixed'
\series default
 molecules will be imaged only if imaging brings them closer to the 
\series bold
'anchor'
\series default
 molecule (default for 
\series bold
'fixed'
\series default
 molecules is all non-solvent non-ion molecules).
 All other molecules (referred to as 
\series bold
'mobile'
\series default
) will be imaged freely.
\end_layout

\begin_layout Standard
The autoimage command works for the majority of systems; however, for very
 densely packed systems the default anchor (entire first molecule) may not
 be appropriate.
 In these cases, it is recommended to choose as the anchor a small region
 which should lie near the center of your system.
 For example, in a protein dimer system one could choose a single residue
 that is near the center of the interface between the two monomers.
\end_layout

\begin_layout Subsection
average
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-average"

\end_inset


\end_layout

\begin_layout LyX-Code
average
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
average
\end_layout

\end_inset

 {crdset <set name> | <filename>} [<mask>]
\end_layout

\begin_layout LyX-Code
        [start <start>] [stop <stop>] [offset <offset>]
\end_layout

\begin_layout LyX-Code
        [Trajout Args]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<filename> If specified, write averaged coordinates to <filename> (not compatibl
e with crdset).
\end_layout

\begin_layout Description
crdset
\begin_inset space ~
\end_inset

<set
\begin_inset space ~
\end_inset

name> If specified, save averaged coordinates to COORDS set <set name> (not
 compatible with <filename>).
\end_layout

\begin_layout Description
[<mask>] Average coordinates in <mask> (all atoms if not specified).
\end_layout

\begin_layout Description
[<start>] Frame to begin calculation at (default 1).
\end_layout

\begin_layout Description
[<stop>] Frame to end calculation at (default last).
\end_layout

\begin_layout Description
[<offset>] Frames to skip between calculations (default 1).
\end_layout

\begin_layout Description
[Trajout
\begin_inset space ~
\end_inset

args] Output trajectory format argument(s) (default Amber Trajectory).
\end_layout

\end_deeper
\begin_layout Standard
Calculate the average of input coordinates and write out to file named 
\series bold
<filename>
\series default
 or save to COORDS set named 
\series bold
<set name>
\series default
 in any trajectory format 
\shape italic
cpptraj
\shape default
 recognizes (Amber Trajectory if not specified).
 If the number of atoms in 
\series bold
<mask>
\series default
 are less than the total number of atoms, the topology will be stripped
 to match 
\series bold
<mask>
\series default
.
 
\end_layout

\begin_layout Standard
Note that since coordinates are being averaged over many frames, resulting
 structures may appear distorted.
 For example, if one averages the coordinates of a freely rotating methyl
 group the average position of the hydrogen atoms will be close to the center
 of rotation.
 Also note that typically one will want to remove global rotational and
 translation movement prior to this command by using e.g.
 the 
\series bold
\emph on
rms
\series default
\emph default
 (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-rmsd"

\end_inset

) command.
\end_layout

\begin_layout Standard
Any arguments that are valid for the 
\series bold
\shape italic
trajout
\series default
\shape default
 command (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-trajout"

\end_inset

) can be passed to this command in order to control the format of the output
 coordinates.
 For example, to write out a PDB file containing the averaged coordinates
 over all frames:
\end_layout

\begin_layout LyX-Code
average test.pdb pdb
\end_layout

\begin_layout Standard
To write out a mol2 file containing only the averaged coordinates of residues
 1 to 10 for frames 1 to 100:
\end_layout

\begin_layout LyX-Code
average test.mol2 mol2 start 1 stop 100 :1-10
\end_layout

\begin_layout Standard
To create an average structure of atoms named CA and then use it as a reference
 for an rms command in a subsequent run:
\end_layout

\begin_layout LyX-Code
trajin Input.nc
\end_layout

\begin_layout LyX-Code
average crdset MyAvg @CA
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
rms ref MyAvg @CA out RmsToAvg.dat
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout Subsection
avgcoord
\end_layout

\begin_layout Standard
This command is deprecated.
 Use 'vector center' (optionally with keyword 'magnitude') instead.
\end_layout

\begin_layout Subsection
bounds
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-bounds"

\end_inset


\end_layout

\begin_layout LyX-Code
bounds [<mask>] [out <filename>]
\end_layout

\begin_layout LyX-Code
       [dx <dx> [dy <dy>] [dz <dz>] name <gridname> [offset <bin offset>]]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<mask>] Mask of atoms to determine bounds of.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write bounds to (default STDOUT if not specified).
\end_layout

\begin_layout Description
[dx
\begin_inset space ~
\end_inset

<dx>
\begin_inset space ~
\end_inset

[dy
\begin_inset space ~
\end_inset

<dy>]
\begin_inset space ~
\end_inset

[dz
\begin_inset space ~
\end_inset

<dz>]] Triggers creation of a grid data set from bounds.
 Spacings of generated grid in the X, Y and Z directions.
 If only dx is specified <dx> will be used for <dy> and <dz> as well.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<gridname>] Name of generated data sets.
\end_layout

\begin_layout Description
[offset
\begin_inset space ~
\end_inset

<bin
\begin_inset space ~
\end_inset

offset>] Number of bins to add/subtract in each direction to generated grid.
\end_layout

\begin_layout Standard
DataSets Generated
\end_layout

\begin_layout Description
<gridname> The 3D grid (only if 'dx' etc specified).
\end_layout

\begin_layout Description
<gridname>[xmin] The minimum x coordinate encountered.
\end_layout

\begin_layout Description
<gridname>[xmax] The maximum x coordinate encountered.
\end_layout

\begin_layout Description
<gridname>[ymin] The minimum y coordinate encountered.
\end_layout

\begin_layout Description
<gridname>[ymax] The maximum y coordinate encountered.
\end_layout

\begin_layout Description
<gridname>[zmin] The minimum z coordinate encountered.
\end_layout

\begin_layout Description
<gridname>[zmax] The maximum z coordinate encountered.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the boundaries (i.e.
 the max/min X/Y/Z coordinates) of atoms in 
\series bold
<mask>
\series default
 and write to 
\series bold
<filename>
\series default
 (STDOUT if not specified).
 Useful for determining dimensions for the 
\series bold
\shape italic
grid
\series default
\shape default
 command, and can be used to generate a grid data set that can be used by
 
\series bold
\shape italic
grid
\series default
\shape default
 (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_grid"

\end_inset

).
\end_layout

\begin_layout Subsection
box
\end_layout

\begin_layout LyX-Code
box {[x <xval>] [y <yval>] [z <zval>] {[alpha <a>] [beta <b>] [gamma <g>]
\end_layout

\begin_layout LyX-Code
	 [truncoct]} | nobox | auto [offset <offset>] [radii {vdw|gb|parse|none}]}
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[x
\begin_inset space ~
\end_inset

<xval>]
\begin_inset space ~
\end_inset

[y
\begin_inset space ~
\end_inset

<yval>]
\begin_inset space ~
\end_inset

[z
\begin_inset space ~
\end_inset

<zval>]
\series bold
 
\series default
Change box length(s) to specified value(s).
\end_layout

\begin_layout Description
[alpha
\begin_inset space ~
\end_inset

<a>]
\begin_inset space ~
\end_inset

[beta
\begin_inset space ~
\end_inset

<b>]
\begin_inset space ~
\end_inset

[gamma
\begin_inset space ~
\end_inset

<g>] Change box angle(s) to specified value(s).
\end_layout

\begin_layout Description
[truncoct] Set box angles to truncated octahedron.
\end_layout

\begin_layout Description
[nobox] Remove any existing box information.
\end_layout

\begin_layout Description
auto Set an orthogonal bounding box enclosing all atoms by the specified
 radii and an optional offset.
\end_layout

\begin_deeper
\begin_layout Description
offset
\begin_inset space ~
\end_inset

<offset> Offset in Angstroms to add to each box length (both + and -).
\end_layout

\begin_layout Description
radii
\begin_inset space ~
\end_inset

{vdw|gb|parse|none} Radii to use for each atom: van der Waals, generalized
 Born, PARSE, or no radii.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Modify box information during trajectory processing.
 Note that this will permanently modify the box information for topology
 files during trajectory processing as well.
 It is possible to modify any number of the box parameters (e.g.
 only the Z length can be modified if desired while leaving all other parameters
 intact).
 If no box is present, an orthogonal bounding box enclosing all atoms can
 be created with the 
\series bold
auto
\series default
 keyword.
\end_layout

\begin_layout Subsection
center
\end_layout

\begin_layout LyX-Code
center
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
center
\end_layout

\end_inset

 [<mask>] [origin] [mass] 
\end_layout

\begin_layout LyX-Code
       [ reference | ref <name> | refindex <#> [<refmask>]]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<mask>] Center based on atoms in mask; default is all atoms.
\end_layout

\begin_layout Description
[origin] Center to origin (0, 0, 0); default is center to box center (X/2,
 Y/2, Z/2).
\end_layout

\begin_layout Description
[mass] Use center of mass instead of geometric center.
\end_layout

\begin_layout Description
[reference
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ref
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

refindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

[<refmask]] Center using coordinates in specified reference structure selected
 by <refmask> (<mask> if not specified.
\end_layout

\end_deeper
\begin_layout Standard
Move all atoms so that the center of the atoms in 
\series bold
<mask>
\series default
 is centered at the specified location: box center (default), coordinate
 origin, or reference coordinates.
\end_layout

\begin_layout Standard
For example, to move all coordinates so that the center of mass of residue
 1 is at the center of the box:
\end_layout

\begin_layout LyX-Code
center :1 mass
\end_layout

\begin_layout Subsection
check | checkoverlap | checkstructure
\end_layout

\begin_layout LyX-Code
check
\begin_inset Index idx
status open

\begin_layout Plain Layout
check
\end_layout

\end_inset

 [<mask>] [around <mask2>] [reportfile <report>] [noimage]
\end_layout

\begin_layout LyX-Code
      [skipbadframes] [offset <offset>] [minoffset <minoffset>]
\end_layout

\begin_layout LyX-Code
      [cut <cut>] [nobondcheck] [silent] [plcut <cut>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<mask>] Check structure of atoms in <mask> (all if not specified).
\end_layout

\begin_layout Description
[around
\begin_inset space ~
\end_inset

<mask2>] If specified, only check for problems between atoms in <mask> and
 atoms in <mask2>.
\end_layout

\begin_layout Description
[reportfile
\begin_inset space ~
\end_inset

<report>] Write any problems found to <report> (STDOUT if not specified).
\end_layout

\begin_layout Description
[noimage] Do not image distances.
\end_layout

\begin_layout Description
[skipbadframes] If errors are encountered for a frame, subsequent actions/trajec
tory output will be skipped.
\end_layout

\begin_layout Description
[offset
\begin_inset space ~
\end_inset

<offset>] Report bond lengths greater than the equilibrium value plus <offset>
 (default 1.15 Å).
\end_layout

\begin_layout Description
[minoffset
\begin_inset space ~
\end_inset

<minoffset>] Report bond lengths less than the equilibrium value minus <minoffse
t> (default 0.5 Å).
\end_layout

\begin_layout Description
[cut
\begin_inset space ~
\end_inset

<cut>] Report atoms closer than <cut> (default 0.8 Å).
\end_layout

\begin_layout Description
[nobondcheck] Check overlaps only.
\end_layout

\begin_layout Description
[silent] Do not print information for bad frames - useful in conjunction
 with the 
\series bold
skipbadframes
\series default
 option.
\end_layout

\begin_layout Description
[plcut
\begin_inset space ~
\end_inset

<cut>] Pair list cutoff (default 4.0 Å); only matters if box is present.
\end_layout

\end_deeper
\begin_layout Standard
Check the structure and report problems related to atomic overlap/unusual
 bond length.
 Problems are reported when any two atoms in 
\series bold
<mask>
\series default
 (or between 
\series bold
<mask>
\series default
 and 
\series bold
<mask2>
\series default
 if using 
\series bold
'around'
\series default
) are closer than 
\series bold
<cut>
\series default
; atoms that are bonded to each other are ignored (except if using the 
\series bold
'around'
\series default
 mask).
 If bonds are being checked then bond lengths greater than their equilibrium
 value plus 
\series bold
<offset>
\series default
 and less than their equilibrium value minus 
\series bold
<minoffset>
\series default
 are reported as well.
 If box information is present and not using the 
\series bold
'around'
\series default
 mask, a pairlist will be used to speed up the calculation.
\end_layout

\begin_layout Standard
This command can also be used to skip corrupted frames in a trajectory during
 processing.
 For example, if this message is encountered:
\end_layout

\begin_layout LyX-Code
Warning: Frame 10 coords 1 & 2 overlap at origin; may be corrupt.
\end_layout

\begin_layout Standard
One could use 
\series bold
\shape italic
check
\series default
\shape default
 so that e.g.
 a subsequent 
\series bold
\shape italic
distance
\series default
\shape default
 command is not processed for bad frames:
\end_layout

\begin_layout LyX-Code
check @1,2 skipbadframes silent
\end_layout

\begin_layout LyX-Code
distance d1 :1 :10
\end_layout

\begin_layout Standard
Usually frame corruption can be detected using only a few atoms, but this
 may not catch all types of corruption.
 The more atoms that are used the better the corruption detection will be,
 but the slower it will be to process the command.
 Typically a good procedure to follow when corruption is suspected is to
 run 
\series bold
\shape italic
check
\series default
\shape default
 using all important atoms (e.g.
 all solute heavy atoms) with the 
\series bold
skipbadframes
\series default
 keyword followed by a 
\series bold
\shape italic
trajout
\series default
\shape default
 command to write all non-corrupt frames, for example:
\end_layout

\begin_layout LyX-Code
trajin corrupted.crd
\end_layout

\begin_layout LyX-Code
check :1-13 skipbadframes silent
\end_layout

\begin_layout LyX-Code
trajout fixed.corrupted.nc
\end_layout

\begin_layout Subsection
checkchirality
\end_layout

\begin_layout LyX-Code
checkchirality [<name>] [<mask>] [out <filename>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Data set name.
\end_layout

\begin_layout Description
[<mask>] Atoms to check.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write results to.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[L] Number of frames 'L' for each residue.
\end_layout

\begin_layout Description
[D] Number of frames 'D' for each residue.
\end_layout

\end_deeper
\begin_layout Standard
Check the chirality around the alpha carbon in amino acid residues selected
 by <mask>.
 Note that cpptraj expects atom names to correspond to the PDB V3 standard:
 N, CA, C, CB.
 For each residue, the number of frames in which the amino acid is 'L' or
 'D' will be recorded.
 For example, to check the chirality of all amino acids in a system and
 write to a file named chiral.dat with data set name DPDP:
\end_layout

\begin_layout LyX-Code
checkchirality DPDP out chiral.dat
\end_layout

\begin_layout Standard
Output will have format similar to:
\end_layout

\begin_layout LyX-Code
#Res      DPDP[L]  DPDP[D]
\end_layout

\begin_layout LyX-Code
   2.000      100        0
\end_layout

\begin_layout Standard
So in this example residue 2 was 'L' for 100 frames and 'D' for 0 frames.
\end_layout

\begin_layout Subsection
closest | closestwaters
\end_layout

\begin_layout LyX-Code
closest
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
closest
\end_layout

\end_inset

 <# to keep> <mask> [solventmask <solvent mask>] [noimage]
\end_layout

\begin_layout LyX-Code
    	[first | oxygen] [center] [closestout <filename> [name <setname>]]
\end_layout

\begin_layout LyX-Code
    	[outprefix <prefix>] [parmout <filename>]
\end_layout

\begin_layout LyX-Code
    	[parmopts <comma-separated-list>]
\end_layout

\begin_deeper
\begin_layout Description
<#
\begin_inset space ~
\end_inset

to
\begin_inset space ~
\end_inset

keep> Number of solvent molecules to keep around <mask>
\end_layout

\begin_layout Description
<mask> Mask of atoms to search for closest waters around.
\end_layout

\begin_layout Description
[solventmask
\begin_inset space ~
\end_inset

<solvent
\begin_inset space ~
\end_inset

mask>] Optional mask for selecting solvent atoms.
 If not specified, atoms in all molecules marked as 
\begin_inset Quotes eld
\end_inset

solvent
\begin_inset Quotes erd
\end_inset

 will be used.
\end_layout

\begin_layout Description
[noimage] Do not perform imaging; only recommended if trajectory has previously
 been imaged.
\end_layout

\begin_layout Description
[first
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

oxygen] Calculate distances between all atoms in 
\series bold
<mask>
\series default
 and the first atom of solvent only (recommended for standard water models
 as it will increase speed of calculation).
\end_layout

\begin_layout Description
[center] Search for waters closest to geometric center of 
\series bold
<mask>
\series default
 instead of each atom in 
\series bold
<mask>
\series default
.
\end_layout

\begin_layout Description
[closestout
\begin_inset space ~
\end_inset

<filename>] Write information on the closest solvent molecules to 
\series bold
<filename>
\series default
.
\end_layout

\begin_layout Description
[outprefix
\begin_inset space ~
\end_inset

<prefix>] Write corresponding topology to file with name prefix 
\series bold
<prefix>
\series default
.
\end_layout

\begin_layout Description
[parmout
\begin_inset space ~
\end_inset

<file>] Write corresponding topology to file with name 
\series bold
<file>
\series default
.
\end_layout

\begin_layout Description
[parmopts
\begin_inset space ~
\end_inset

<list>] Comma-separated list of options for writing the topology file.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[Frame] Frame number.
\end_layout

\begin_layout Description
[Mol] Original solvent molecule number.
\end_layout

\begin_layout Description
[Dist] Solvent molecule distance in Å.
\end_layout

\begin_layout Description
[FirstAtm] First atom number of original solvent molecule.
\end_layout

\end_deeper
\begin_layout Standard
Similar to the 
\series bold
\shape italic
strip
\series default
\shape default
 command, but modify coordinate frame and topology by keeping only the specified
 number of closest solvent molecules to the region specified by the given
 mask.
 Solvent molecules can be determined automatically by 
\shape italic
cpptraj
\shape default
 (by default residues named WAT, HOH, or TIP3), can be specified prior via
 the 
\series bold
\shape italic
solvent
\series default
\shape default
 command (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_solvent"

\end_inset

), or can be selected by 
\series bold
solventmask
\series default
.
\end_layout

\begin_layout Standard
The format of the 
\series bold
closestout
\series default
 file is:
\end_layout

\begin_layout LyX-Code
Frame    Molecule    Distance    FirstAtom#
\end_layout

\begin_layout Standard
For example, to obtain the 10 closest waters to residues 1-268 by distance
 to the first atom of the waters, write out which waters were closest for
 each frame to a file called 
\begin_inset Quotes eld
\end_inset

closestmols.dat
\begin_inset Quotes erd
\end_inset

, and write out the stripped topology with prefix 
\begin_inset Quotes eld
\end_inset

closest
\begin_inset Quotes erd
\end_inset

 containing only the solute and 10 waters:
\end_layout

\begin_layout LyX-Code
closest 10 :1-268 first closestout closestmols.dat outprefix closest
\end_layout

\begin_layout Standard
As of version 17 this command is CUDA-enabled in CUDA versions of CPPTRAJ.
\end_layout

\begin_layout Subsection
cluster
\end_layout

\begin_layout Standard
Although the 
\series bold
'cluster'
\series default
 command can still be specified as an action, it is now considered an analysis.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-cluster-analysis"

\end_inset

.
\end_layout

\begin_layout Subsection
clusterdihedral
\end_layout

\begin_layout LyX-Code
clusterdihedral
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
clusterdihedral
\end_layout

\end_inset

 [phibins <N>] [psibins <M>] [out <outfile>] 
\end_layout

\begin_layout LyX-Code
                [dihedralfile <dfile> | <mask>]
\end_layout

\begin_layout LyX-Code
                [framefile <framefile>] [clusterinfo <infofile>]
\end_layout

\begin_layout LyX-Code
                [clustervtime <cvtfile>] [cut <CUT>]
\end_layout

\begin_layout Standard
Cluster frames in a trajectory using dihedral angles.
 To define which dihedral angles will be used for clustering either an atom
 mask or an input file specified by the 
\series bold
dihedralfile
\series default
 keyword should be used.
 If dihedral file is used, each line in the file should contain a dihedral
 to be binned with format:
\end_layout

\begin_layout LyX-Code
ATOM#1 ATOM#2 ATOM#3 ATOM#4 #BINS
\end_layout

\begin_layout Standard
where the ATOM arguments are the atom numbers (starting from 1) defining
 the dihedral and #BINS is the number of bins to be used (so if #BINS=10
 the width of each bin will be 36º).
 If an atom mask is specified, only protein backbone dihedrals (Phi and
 Psi defined using atom names C-N-CA-C and N-CA-C-N) within the mask will
 be used, with the bin sizes specified by the phibins and psibins keywords
 (default for each is 10 bins).
\end_layout

\begin_layout Standard
Output will either be written to STDOUT or the file specified by the 
\series bold
out
\series default
 keyword.
 First, information about which dihedrals were clustered will be printed.
 Then the number of clusters will be printed, followed by detailed information
 of each cluster.
 The clusters are sorted from most populated to least populated.
 Each cluster line has format
\end_layout

\begin_layout LyX-Code
Cluster CLUSTERNUM CLUSTERPOP [ dihedral1bin, dihedral2bin ...
 dihedralNbin ]
\end_layout

\begin_layout Standard
followed by a list of frame numbers that belong to that cluster.
 If a cutoff is specified by 
\series bold
cut
\series default
, only clusters with population greater than CUT will be printed.
\end_layout

\begin_layout Standard
If specified by the 
\series bold
clustervtime
\series default
 keyword, the number of clusters for each frame will be printed to <cvtfile>.
 If specified by the 
\series bold
framefile
\series default
 keyword, a file containing cluster information for each frame will be written
 with format
\end_layout

\begin_layout LyX-Code
Frame CLUSTERNUM CLUSTERSIZE DIHEDRALBINID
\end_layout

\begin_layout Standard
where DIHEDRALBINID is a number that identifies the unique combination of
 dihedral bins this cluster belongs to (specifically it is a 3*number-of-dihedra
l-characters long number composed of the individual dihedral bins).
\end_layout

\begin_layout Standard
If specified by the 
\series bold
clusterinfo
\series default
 keyword, a file containing information on each dihedral and each cluster
 will be printed.
 This file can be read by SANDER for use with REMD with a structure reservoir
 (-rremd=3).
 The file, which is essentially a simplified version of the main output
 file, has the following format:
\end_layout

\begin_layout LyX-Code
#DIHEDRALS
\end_layout

\begin_layout LyX-Code
dihedral1_atom1 dihedral1_atom2 dihedral1_atom3 dihedral1_atom4
\end_layout

\begin_layout LyX-Code
...
\end_layout

\begin_layout LyX-Code
#CLUSTERS
\end_layout

\begin_layout LyX-Code
CLUSTERNUM1 CLUSTERSIZE1 DIHEDRALBINID1
\end_layout

\begin_layout LyX-Code
...
\end_layout

\begin_layout Subsection
contacts
\end_layout

\begin_layout LyX-Code
contacts [ first | reference | ref <ref> | refindex <#> ] [byresidue]
\end_layout

\begin_layout LyX-Code
         [out <filename>] [time <interval>] [distance <cutoff>] [<mask>]
\end_layout

\begin_layout Standard
NOTE: Users are encouraged to try the 
\series bold
\emph on
nativecontacts
\series default
\emph default
 command (
\begin_inset CommandInset ref
LatexCommand vpageref
reference "subsec:cpptraj-nativecontacts"

\end_inset

), an update version of this command.
\end_layout

\begin_layout Standard
For each atom given in 
\shape italic
mask
\shape default
, calculate the number of other atoms (contacts) within the distance 
\shape italic
cutoff
\shape default
.
 The default cutoff is 7.0 A.
 Only atoms in 
\shape italic
mask
\shape default
 are potential interaction partners (e.g., a mask @CA will evaluate only contacts
 between CA atoms).
 The results are dumped to 
\shape italic
filename
\shape default
 if the keyword 
\begin_inset Quotes eld
\end_inset


\family typewriter
out
\family default

\begin_inset Quotes erd
\end_inset

 is specified.
 Thereby, the time between snapshots is taken to be 
\shape italic
interval
\shape default
.
 In addition to the number of overall contacts, the number of native contacts
 is also determined.
 Native contacts are those that have been found either in the first snapshot
 of the trajectory (if the keyword 
\begin_inset Quotes eld
\end_inset


\family typewriter
first
\family default

\begin_inset Quotes erd
\end_inset

 is specified) or in a reference structure (if the keyword 
\begin_inset Quotes eld
\end_inset


\family typewriter
reference
\family default

\begin_inset Quotes erd
\end_inset

 is specified).
 Finally, if the keyword 
\begin_inset Quotes eld
\end_inset


\family typewriter
byresidue
\family default

\begin_inset Quotes erd
\end_inset

 is provided, results are output on a per-residue basis for each snapshot,
 whereby the number of native contacts is written to 
\shape italic
filename
\shape default
.native.
\end_layout

\begin_layout Subsection
createcrd
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_createcrd"

\end_inset


\end_layout

\begin_layout LyX-Code
createcrd [<name>] [ parm <name> | parmindex <#> ]
\end_layout

\begin_layout Standard
This command creates a COORDS data set named <name> using trajectory frames
 that are associated with the specified topology.
\end_layout

\begin_layout Standard
For example, to save frames that have been previously RMS-fit to a reference
 structure into a COORDS set named MyCrd you would use the input:
\end_layout

\begin_layout LyX-Code
rms reference :1-12@CA
\end_layout

\begin_layout LyX-Code
createcrd MyCrd
\end_layout

\begin_layout LyX-Code
strip :6-8
\end_layout

\begin_layout Standard
Note that here the 
\series bold
\emph on
strip
\series default
\emph default
 command will have no effect on the coordinates saved in MyCrd since it
 occurs after the 
\series bold
\emph on
createcrd
\series default
\emph default
 command.
\end_layout

\begin_layout Subsection
createreservoir
\end_layout

\begin_layout LyX-Code
createreservoir <filename> ene <energy data set> [bin <cluster bin data
 set>]
\end_layout

\begin_layout LyX-Code
                temp0 <temp0> iseed <iseed> [velocity]
\end_layout

\begin_layout LyX-Code
                [parm <parmfile> | parmindex <#>] [title <title>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<filename> File name of the reservoir to create.
\end_layout

\begin_layout Description
ene
\begin_inset space ~
\end_inset

<energy
\begin_inset space ~
\end_inset

data
\begin_inset space ~
\end_inset

set> Data set with energies corresponding to frames.
\end_layout

\begin_layout Description
[bin
\begin_inset space ~
\end_inset

<cluster
\begin_inset space ~
\end_inset

bin
\begin_inset space ~
\end_inset

data
\begin_inset space ~
\end_inset

set>] Data set with bin numbers (for RREMD=3).
\end_layout

\begin_layout Description
temp0
\begin_inset space ~
\end_inset

<temp0> Reservoir temperature.
\end_layout

\begin_layout Description
iseed
\begin_inset space ~
\end_inset

<iseed> Reservoir random number seed.
\end_layout

\begin_layout Description
[velocity] Include velocities in the reservoir.
\end_layout

\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<parmfile>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>] Associated topology.
\end_layout

\begin_layout Description
[title
\begin_inset space ~
\end_inset

<title>] Reservoir title.
\end_layout

\end_deeper
\begin_layout Standard
Create structure reservoir for use with reservoir REMD simulations using
 energies in <energy data set>, temperature <temp0> and random seed <iseed>
 Include velocities if [velocity] is specified.
 If <cluster bin data set> is specified from e.g.
 a previous 'clusterdihedral' command, the reservoir can be used for non-Boltzma
nn reservoir REMD (rremd==3).
\end_layout

\begin_layout Subsection
density
\end_layout

\begin_layout LyX-Code
density [out <filename>] [name <set name>]
\end_layout

\begin_layout LyX-Code
        [ <mask1> ...
 <maskN> [delta <resolution>] [{x|y|z}]
\end_layout

\begin_layout LyX-Code
          [{number|mass|charge|electron}] [{bincenter|binedge}]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
          [restrict {cylinder|square} cutoff <cut>] ]
\end_layout

\begin_deeper
\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file for histogram(s) (relative distances vs.
 densities for each mask) or total density.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<set
\begin_inset space ~
\end_inset

name>] Output data set name.
\end_layout

\begin_layout Description
<mask1>
\begin_inset space ~
\end_inset

...
\begin_inset space ~
\end_inset

<maskN> Arbitrary number of masks for atom selection; a dataset is created
 and the output will contain entries for each mask.
\end_layout

\begin_deeper
\begin_layout Description
[delta
\begin_inset space ~
\end_inset

<resolution>] Resolution, i.e.
 determines number of slices (i.e.
 histogram bins).
 (default 0.25 Å)
\end_layout

\begin_layout Description
[{x|y|z}] Coordinate (axis) for density calculation.
 (default z)
\end_layout

\begin_layout Description
[{number|mass|charge|electron}] Number, mass, partial charge (q) or electron
 (Ne - q) density.
 Electron density will be converted to e-/Å3 by dividing the average area
 spanned by the other two dimensions.
 (default number)
\end_layout

\begin_layout Description
[{bincenter|binedge}] Determine whether histogram bin coordinates will be
 based on bin center (default) or bin edges.
\end_layout

\begin_layout Description
[restrict
\begin_inset space ~
\end_inset

{cylinder|square}] If 
\series bold
'restrict'
\series default
 is specified, only calculate the density that is within a cylinder or square
 shape from the specified axis as defined by a distance cutoff.
\end_layout

\begin_deeper
\begin_layout Description
cutoff
\begin_inset space ~
\end_inset

<cut> The distance cutoff for 
\series bold
'restrict'
\series default
.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
DataSets Created if masks specified:
\end_layout

\begin_layout Description
<set
\begin_inset space ~
\end_inset

name>[avg]:<idx> Average density over coordinate for mask number <idx>.
\end_layout

\begin_layout Description
<set
\begin_inset space ~
\end_inset

name>[sd]:<idx> Standard deviation of density over coordinate for mask number
 <idx>.
\end_layout

\begin_layout Standard
DataSets Created if no masks specified:
\end_layout

\begin_layout Description
<set
\begin_inset space ~
\end_inset

name> Total system density each frame.
\end_layout

\end_deeper
\begin_layout Standard
If no atom masks are specified, calculate the total system density.
 Otherwise, calculate specified density along the given axis for atoms in
 specified mask(s).
 Defaults are shown in parentheses above.
 The format of the file is as follows.
 Comments are lines starting with '#' or empty lines.
 All other lines must contain the atom type followed by an integer number
 for the electron number.
 Entries must be separated by spaces or '='.
 Example input:
\end_layout

\begin_layout LyX-Code
density out number_density.dat number delta 0.25 ":POPC@P1" ":POPC@N" 
\backslash

\end_layout

\begin_layout LyX-Code
        ":POPC@C2" ":POPC"
\end_layout

\begin_layout LyX-Code
density out mass_density.dat mass delta 0.25 ":POPC@P1" ":POPC@N" 
\backslash

\end_layout

\begin_layout LyX-Code
        ":POPC@C2" ":POPC"
\end_layout

\begin_layout LyX-Code
density out charge_density.dat charge delta 0.25 ":POPC@P1" ":POPC@N" 
\backslash

\end_layout

\begin_layout LyX-Code
        ":POPC@C2" ":POPC"
\end_layout

\begin_layout LyX-Code
density out electron_density.dat electron delta 0.25 efile Nelec.in 
\backslash

\end_layout

\begin_layout LyX-Code
        ":POPC@P1" ":POPC@N" ":POPC@C2" ":POPC" ":TIP3" 
\backslash

\end_layout

\begin_layout LyX-Code
        ":POPC | :TIP3" "*"
\end_layout

\begin_layout LyX-Code
density out ion_density.dat number delta 0.25 ":SOD" ":CLA"
\end_layout

\begin_layout Standard
See also $AMBERHOME/AmberTools/test/cpptraj/Test_Density.
\end_layout

\begin_layout Standard
It can be useful to write out the average and standard deviation as an XYDY
 set to a Grace data file, e.g.
\end_layout

\begin_layout LyX-Code
density :WAT@O out wato.agr xydy
\end_layout

\begin_layout Subsection
diffusion
\end_layout

\begin_layout Standard

\emph on
Note that although the syntax for 
\series bold
diffusion
\series default
 has changed as of version 16, the old syntax is still supported.
\end_layout

\begin_layout LyX-Code
diffusion [{out <filename> | separateout <suffix>}] [time <time per frame>]
 [noimage]
\end_layout

\begin_layout LyX-Code
      	[<mask>] [<set name>] [individual] [diffout <filename>] [nocalc]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write mean-square displacement (MSD) data set output to file
 specified by <filename>.
\end_layout

\begin_layout Description
[separateout
\begin_inset space ~
\end_inset

<suffix>] Write each MSD data set type to files with suffix <suffix>; see
 description below.
\end_layout

\begin_layout Description
[time
\begin_inset space ~
\end_inset

<time_per_frame>] Time in-between each coordinate frame in ps; default is
 1.0.
\end_layout

\begin_layout Description
[noimage] If specified do not perform imaging.
 If this is specified coordinates should be unwrapped prior to this command.
\end_layout

\begin_layout Description
[<mask>] Mask of atoms to calculate diffusion for; default all atoms.
\end_layout

\begin_layout Description
[<set
\begin_inset space ~
\end_inset

name>] MSD data set name.
\end_layout

\begin_layout Description
[individual] Write diffusion for each individual atom as well as average
 diffusion for atoms in mask.
\end_layout

\begin_layout Description
[diffout
\begin_inset space ~
\end_inset

<filename>] Write diffusion contants calculated from fits of MSD data sets
 to <filename>.
\end_layout

\begin_layout Description
[nocalc] Do not calculate diffusion constants.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[X] MSD(s) in the X direction.
\end_layout

\begin_layout Description
[Y] MSD(s) in the Y direction.
\end_layout

\begin_layout Description
[Z] MSD(s) in the Z direction.
\end_layout

\begin_layout Description
[R] Overall MSD(s).
\end_layout

\begin_layout Description
[A] Overall displacement(s).
\end_layout

\begin_layout Description
[D] Diffusion constants.
\end_layout

\begin_layout Description
[Label] Diffusion constant lablels.
\end_layout

\begin_layout Description
[Slope] Linear regression slopes.
\end_layout

\begin_layout Description
[Intercept] Linear refression Y-intercepts.
\end_layout

\begin_layout Description
[Corr] Linear regression correlation coefficients.
\end_layout

\end_deeper
\begin_layout Standard
Compute mean square displacement (MSD) plots (using distance traveled from
 initial position) for the atoms in 
\series bold
<mask>
\series default
.
 By default only the diffusion averaged over all atoms in 
\series bold
<mask>
\series default
 is calculated; if 
\series bold
individual
\series default
 is specified diffusion for individual atoms is calculated as well.
 
\end_layout

\begin_layout Standard
In order to correctly calculate diffusion molecules should take continuous
 paths, so imaging of atoms is autoimatically performed.
 If the trajectory is already unwrapped (or the unwrap command is used prior
 to this command) the 
\series bold
noimage
\series default
 keyword can be used.
 
\end_layout

\begin_layout Standard
The following types of displacements are calculated.
 If 
\series bold
separateout
\series default
 is specfied the following files will be created:
\end_layout

\begin_layout Description
x_<suffix> Mean square displacement(s) in the X direction (in Å
\begin_inset Formula $^{\text{2}}$
\end_inset

/ps).
\end_layout

\begin_layout Description
y_<suffix> Mean square displacement(s) in the Y direction (in Å
\begin_inset Formula $^{\text{2}}$
\end_inset

/ps).
\end_layout

\begin_layout Description
z_<suffix> Mean square displacement(s) in the Z direction (in Å
\begin_inset Formula $^{\text{2}}$
\end_inset

/ps).
\end_layout

\begin_layout Description
r_<suffix> Overall mean square displacement(s) (in Å
\begin_inset Formula $^{\text{2}}$
\end_inset

/ps).
\end_layout

\begin_layout Description
a_<suffix> Total distance traveled (in Å/ps).
\end_layout

\begin_layout Standard
The diffusion coefficient 
\series bold
\shape italic
D
\series default
\shape default
 can be calculated using the Einstein relation:
\end_layout

\begin_layout Standard
\begin_inset Formula 
\[
2nD=\lim_{t\rightarrow\infty}\frac{MSD}{t}
\]

\end_inset


\end_layout

\begin_layout Standard
Where 
\series bold
\shape italic
n
\series default
\shape default
 is the number of dimensions; for overall MSD n = 3, for single dimension
 MSD (e.g.
 X) n = 1, etc.
 Unless 
\series bold
nocalc
\series default
 is specified, the diffusion constant is calculated automatically from MSD
 data sets (and written to the file specified by 
\series bold
diffout
\series default
) in the following manner.
 The slope the plot of MSD versus time is obtained via linear regression.
 To convert from units of Å
\begin_inset Formula $^{\text{2}}$
\end_inset

/ps to 1x10
\begin_inset script superscript

\begin_layout Plain Layout
-5
\end_layout

\end_inset

 cm
\begin_inset script superscript

\begin_layout Plain Layout
2
\end_layout

\end_inset

/s, the slope is multiplied by 10.0/(2n).
 Both the calculated diffusion constants as well as the results of the fit
 are reported.
\end_layout

\begin_layout Standard
Due to the fact that diffusion is currently calculated from initial positions
 only, diffusion calculated for small numbers of atoms will be inherently
 stochastic, so the results are most sensible when averaged over many atoms;
 for example, the diffusion of water should be calculated using all waters
 in the system.
\end_layout

\begin_layout Standard
For example, to calculate the diffusion of water in a system:
\end_layout

\begin_layout LyX-Code
diffusion :WAT@O out WAT_O.agr WAT_O diffout DC.dat
\end_layout

\begin_layout Subsection
dihedral 
\end_layout

\begin_layout LyX-Code
dihedral
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
dihedral
\end_layout

\end_inset

 [<name>] <mask1> <mask2> <mask3> <mask4> [out <filename>] [mass]
\end_layout

\begin_layout LyX-Code
         [type {alpha|beta|gamma|delta|epsilon|zeta|chi|c2p|h1p|phi|psi|omega|pc
hi}]
\end_layout

\begin_layout LyX-Code
         [range360]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Output data set name.
\end_layout

\begin_layout Description
<maskX> Four atom masks selecting atom(s) to calculate dihedral for.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file name.
\end_layout

\begin_layout Description
[mass] Use center of mass of atoms in <maskX>; default is geometric center.
\end_layout

\begin_layout Description
[range360] Output dihedral angle values from 0 to 360 degrees instead of
 -180 to 180 degrees.
\end_layout

\begin_layout Description
[type
\begin_inset space ~
\end_inset

<type>] Label dihedral as <type> for use with 
\series bold
\shape italic
statistics
\series default
\shape default
 analysis; note 'chi' is nucleic acid chi and 'pchi' is protein chi.
\end_layout

\end_deeper
\begin_layout Standard
Calculate dihedral angle (in degrees) between the planes defined by atoms
 in <mask1>, <mask2>, <mask3> and <mask2>, <mask3>, <mask4>.
 To calculate multiple dihedral angles see the 
\series bold
\emph on
multidihedral
\series default
\emph default
 command on page 
\begin_inset CommandInset ref
LatexCommand pageref
reference "subsec:cpptraj_multidihedral"
plural "false"
caps "false"
noprefix "false"

\end_inset

.
\end_layout

\begin_layout Subsection
dihedralrms | dihrms
\end_layout

\begin_layout LyX-Code
	dihedralrms [<name>] <dihedral types> [out <file>]
\end_layout

\begin_layout LyX-Code
            	[ first | reference | ref <name> | refindex <#> | previous
 |
\end_layout

\begin_layout LyX-Code
            	  reftraj <name> [parm <name> | parmindex <#>] ]
\end_layout

\begin_layout LyX-Code
            	[dihtype <name>:<a0>:<a1>:<a2>:<a3>[:<offset>] ...]
\end_layout

\begin_layout LyX-Code
                [tgtrange <range> [refrange <range>]]
\end_layout

\begin_deeper
\begin_layout Description
[<name>] Output data set name.
\end_layout

\begin_layout Description
<dihedral
\begin_inset space ~
\end_inset

types> Dihedral types to look for.
 Note that chip is 'protein chi', chin is 'nucleic chi'.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file name.
\end_layout

\begin_layout Description
[dihtype
\begin_inset space ~
\end_inset

<name>:<a0>:<a1>:<a2>:<a3>[:<offset>] Search for a custom dihedral type
 called <name> using atom names <a0>, <a1>, <a2>, and <a3>.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Standard
Offset: -2=<a0><a1> in previous res, -1=<a0> in previous res, 0=All <aX>
 in single res, 1=<a3> in next res, 2=<a2><a3> in next res.
\end_layout

\end_deeper
\begin_layout Description
[tgtrange
\begin_inset space ~
\end_inset

<range>] Residue range to look for target dihedrals in.
 Default is all solute residues.
\end_layout

\begin_layout Description
[refrange
\begin_inset space ~
\end_inset

<range>] Residues range to look for reference dihedrals in.
 If not specified, use target range.
\end_layout

\end_deeper
\begin_layout Standard
Calculate RMSD of selected dihedrals to dihedrals in a reference structure.
 See the 
\series bold
\emph on
multidihedral
\series default
\emph default
 command syntax on page 
\begin_inset CommandInset ref
LatexCommand pageref
reference "subsec:cpptraj_multidihedral"
plural "false"
caps "false"
noprefix "false"

\end_inset

 for a list of all available dihedral types.
\end_layout

\begin_layout Subsection
dihedralscan
\end_layout

\begin_layout Standard
This command has been replaced by 
\series bold
\emph on
permutedihedrals
\series default
\emph default
; see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_permutedihedrals"

\end_inset

.
\end_layout

\begin_layout Subsection
dipole
\end_layout

\begin_layout LyX-Code
dipole <filename> {data <dsname> | <nx> <dx> <ny> <dy> <nz> <dz> 
\end_layout

\begin_layout LyX-Code
       [gridcenter <cx> <cy> <cz>]}
\end_layout

\begin_layout LyX-Code
   	[box|origin|center <mask>] [negative] [name <gridname>]
\end_layout

\begin_layout LyX-Code
       <mask1> {origin | box} [max <max_percent>]
\end_layout

\begin_layout Standard
NOTE: This command is not well-tested and may be obsolete.
\end_layout

\begin_layout Standard
Same as 
\family sans
\series bold
grid
\family default
\series default
 (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_grid"

\end_inset

 below) except that dipoles of the solvent molecules are binned.
 The output file format is for Chris Bayly's discern delegate program that
 comes with Midas/Plus.
 Consult the code in Action_Dipole.cpp for more information.

\shape italic
 
\end_layout

\begin_layout Subsection
distance 
\end_layout

\begin_layout LyX-Code
distance
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
distance
\end_layout

\end_inset

 [<name>] <mask1> [<mask2>] [point <X> <Y> <Z>]
\end_layout

\begin_layout LyX-Code
         [ reference | ref <name> | refindex <#> ]
\end_layout

\begin_layout LyX-Code
     	[out <filename>] [geom] [noimage] [type noe]
\end_layout

\begin_layout LyX-Code
	Options for 'type noe':
\end_layout

\begin_layout LyX-Code
	  [bound <lower> bound <upper>] [rexp <expected>] [noe_strong] [noe_medium]
 [noe_weak]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Output data set name
\end_layout

\begin_layout Description
<mask1> Atom mask selecting atom(s) to calculate distance between.
\end_layout

\begin_layout Description
<mask2> If specified, second atom mask selection atom(s) to calculate distance
 from <mask1>.
\end_layout

\begin_layout Description
point
\begin_inset space ~
\end_inset

<X>
\begin_inset space ~
\end_inset

<Y>
\begin_inset space ~
\end_inset

<Z> If specified instead of second mask, calculate distance between <mask1>
 and specified XYZ coordinates.
\end_layout

\begin_layout Description
reference
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ref
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

refindex
\begin_inset space ~
\end_inset

<#> If specified, calculate distance between <mask1> in each input frame
 and <mask2> in the specified reference.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output filename.
\end_layout

\begin_layout Description
[geom] Use geometric center of atoms in <mask1>/<mask2>; default is to use
 center of mass.
\end_layout

\begin_layout Description
[noimage] Do not image distances across periodic boundaries.
\end_layout

\begin_layout Description
[type
\begin_inset space ~
\end_inset

noe] Mark distance as 'noe' for use with 
\series bold
\shape italic
statistics
\series default
\shape default
 analysis.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[bound
\begin_inset space ~
\end_inset

<lower>
\begin_inset space ~
\end_inset

bound
\begin_inset space ~
\end_inset

<upper>] Lower and upper bounds for NOE (in Angstroms); must specify both.
\end_layout

\begin_layout Description
[rexp
\begin_inset space ~
\end_inset

<expected>] Expected value for NOE (in Angstroms); if not given '(<lower>
 + <upper>)' / 2.0 is used.
\end_layout

\begin_layout Description
[noe_strong] Set lower and upper bounds to 1.8 and 2.9 Å respectively.
\end_layout

\begin_layout Description
[noe_medium] Set lower and upper bounds to 2.9 and 3.5 Å respectively.
\end_layout

\begin_layout Description
[noe_weak] Set lower and upper bounds to 3.5 and 5.0 Å respectively.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Calculate distance between the center of mass of atoms in <mask1> to atoms
 in <mask2>, between atoms in <mask1> from each input frame and atoms in
 <mask2> in specified reference, or atoms in <mask1> and the specified point.
 If 
\series bold
geom
\series default
 is specified use the geometric center instead.
 For periodic systems imaging is turned on by default; the 
\series bold
noimage
\series default
 keyword disables imaging.
\end_layout

\begin_layout Standard
A distance can be labeled using '
\family typewriter
type noe
\family default
' for further analysis as an NOE using the 
\series bold
\shape italic
'statistics'
\series default
\shape default
 analysis command (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_statistics"

\end_inset

).
\end_layout

\begin_layout Subsection
drms | drmsd (distance RMSD)
\end_layout

\begin_layout LyX-Code
drmsd
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
drmsd
\end_layout

\end_inset

 [<dataset name>] [<mask> [<refmask>]] [out <filename>]
\begin_inset Newline newline
\end_inset

      [ first | ref <refname> | refindex <#> | 
\begin_inset Newline newline
\end_inset

        reftraj <trajname> [parm <trajparm> | parmindex <parm#>] ]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<dataset
\begin_inset space ~
\end_inset

name>] Output data set name.
\end_layout

\begin_layout Description
[<mask>] Atoms to calculate DRMSD for.
\end_layout

\begin_layout Description
[<refmask>] Mask corresponding to atoms in reference; if not specified,
 <mask> is used.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file name.
\end_layout

\begin_layout Description
[first] Use the first trajectory frame processed as reference.
\end_layout

\begin_layout Description

\series bold
[reference]
\series default
 Use the first previously read in reference structure.
\end_layout

\begin_layout Description

\series bold
[ref
\series default

\begin_inset space ~
\end_inset

<refname>] Use previously read in reference structure specified by <refname>.
\end_layout

\begin_layout Description

\series bold
[refindex
\series default

\begin_inset space ~
\end_inset

<#>] Use previously read in reference structure specified by <#> (based
 on order read in).
\end_layout

\begin_layout Description
previous Use frame prior to current frame as reference.
\end_layout

\begin_layout Description

\series bold
reftraj
\series default

\begin_inset space ~
\end_inset

<name> Use frames from COORDS set <name> or read in from trajectory file
 <name> as references.
 Each frame from <name> is used in turn, so that frame 1 is compared to
 frame 1 from <name>, frame 2 is compared to frame 2 from <name> and so
 on.
 If <trajname> runs out of frames before processing is complete, the last
 frame of <trajname> continues to be used as the reference.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<parmname>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#> If 
\series bold
reftraj
\series default
 specifies a file associate trajectory <name> with specified topology; if
 not specified the first topology is used.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Calculate the distance RMSD (i.e.
 the RMSD of all pairs of internal distances) between atoms in the frame
 defined by 
\series bold
<mask>
\series default
 (all if no 
\series bold
<mask>
\series default
 specified) to atoms in a reference defined by 
\series bold
<refmask>
\series default
 (
\series bold
<mask>
\series default
 if 
\series bold
<refmask>
\series default
 not specified).
 Both 
\series bold
<mask>
\series default
 and 
\series bold
<refmask>
\series default
 must specify the same number of atoms, otherwise an error will occur.
 
\end_layout

\begin_layout Standard
Because this method compares pairs of internal distances and not absolute
 coordinates, it is not sensitive to translations and rotations the way
 that a no-fit RMSD calculation is.
 It can be more time consuming however, as (N
\begin_inset script superscript

\begin_layout Plain Layout
2
\end_layout

\end_inset

-N)/2 distances must be calculated and compared for both the target and
 reference structures.
 
\end_layout

\begin_layout Standard
For example, to get the DRMSD of a residue named LIG to its structure in
 the first frame read in:
\end_layout

\begin_layout LyX-Code
drmsd :LIG first out drmsd.dat
\end_layout

\begin_layout Subsection
dssp
\end_layout

\begin_layout Standard
See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-secstruct"

\end_inset

.
\end_layout

\begin_layout Subsection
energy
\end_layout

\begin_layout LyX-Code
energy [<name>] [<mask1>] [out <filename>]
\end_layout

\begin_layout LyX-Code
   	[bond] [angle] [dihedral] {[nb14] | [e14] | [v14]}
\end_layout

\begin_layout LyX-Code
   	{[nonbond] | [elec] [vdw]} [kinetic [ketype {vel|vv}] [dt <dt>]]
\end_layout

\begin_layout LyX-Code
   	[ etype { simple |
\end_layout

\begin_layout LyX-Code
   	          directsum [npoints <N>] |
\end_layout

\begin_layout LyX-Code
   	          ewald [cut <cutoff>] [dsumtol <dtol>] [rsumtol <rtol>]
\end_layout

\begin_layout LyX-Code
   	                [ewcoeff <coeff>] [maxexp <max>] [skinnb <skinnb>]
\end_layout

\begin_layout LyX-Code
   	                [mlimits <X>,<Y>,<Z>] [erfcdx <dx>]
\end_layout

\begin_layout LyX-Code
   	          pme [cut <cutoff>] [dsumtol <dtol>] [order <order>] [ljswidth
 <width>]
\end_layout

\begin_layout LyX-Code
   	              [ewcoeff <coeff>] [ljpme] [ewcoefflj] [skinnb <skinnb>]
\end_layout

\begin_layout LyX-Code
   	              [nfft <nfft1>,<nfft2>,<nfft3>] [erfcdx <dx>]
\end_layout

\begin_layout LyX-Code
   	        } ] 
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Data set name.
\end_layout

\begin_layout Description
[<mask1>] Mask of atoms to calculate energy for.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write results to.
\end_layout

\begin_layout Description
[bond] Calculate bond energy.
\end_layout

\begin_layout Description
[angle] Calculate angle energy.
\end_layout

\begin_layout Description
[dihedral] Calculate dihedral energy.
\end_layout

\begin_layout Description
[nb14] Calculate nonbonded 1-4 energy.
\end_layout

\begin_layout Description
[e14] Calculate 1-4 electrostatics.
\end_layout

\begin_layout Description
[v14] Calculate 1-4 van der Waals.
\end_layout

\begin_layout Description
[nonbond] Calculate nonbonded energy (electrostatics and van der Waals).
\end_layout

\begin_layout Description
[elec] Calculate electrostatic energy (Coulomb potential).
\end_layout

\begin_layout Description
[vdw] Calculate van der Waals energy (Lennard-Jones 6-12 potential).
\end_layout

\begin_layout Description
[etype
\begin_inset space ~
\end_inset

<type>] Calculate electrostatics via specified type.
\end_layout

\begin_layout Description
[simple] Use simple Coulomb term for electrostatics, no cutoff.
\end_layout

\begin_layout Description
[directsum] Use direct summation method for electrostatics.
\end_layout

\begin_deeper
\begin_layout Description
[npoints
\begin_inset space ~
\end_inset

<N>] Number of cells in each direction to calculate the direct sum.
\end_layout

\end_deeper
\begin_layout Description
[ewald] Use Ewald summation for electrostatics.
 If van der Waals energy will be calculated a long-range correction for
 periodicity will be applied.
\end_layout

\begin_deeper
\begin_layout Description
cut
\begin_inset space ~
\end_inset

<cutoff> Direct space cutoff in Angstroms (default 8.0).
\end_layout

\begin_layout Description
dsumtol
\begin_inset space ~
\end_inset

<dtol> Direct sum tolerance (default 0.00001).
 Used to determine Ewald coefficient.
\end_layout

\begin_layout Description
rsumtol
\begin_inset space ~
\end_inset

<rtol> Reciprocal sum tolerance (default 0.00005).
 Used to determine number of reciprocal space vectors.
\end_layout

\begin_layout Description
ewcoeff
\begin_inset space ~
\end_inset

<coeff> Ewald coefficient in 1/Ang.
\end_layout

\begin_layout Description
skinnb Used to determine pairlist atoms (added to cut, so pairlist cutoff
 is 
\series bold
cut
\series default
 + 
\series bold
skinnb
\series default
); included in order to maintain consistency with results from sander.
\end_layout

\begin_layout Description
mlimits
\begin_inset space ~
\end_inset

<X>,<Y>,<Z> Explicitly set the number of reciprocal space vectors in each
 dimension.
 Will be determined automatically if not specified.
\end_layout

\begin_layout Description
erfcdx
\begin_inset space ~
\end_inset

<dx> Spacing to use for the ERFC splines (default 0.0002 Ang.).
\end_layout

\end_deeper
\begin_layout Description
[pme] Use particle mesh Ewald for electrostatics.
 If van der Waals energy will be calculated a long-range correction for
 periodicity will be applied.
\end_layout

\begin_deeper
\begin_layout Description
cut
\begin_inset space ~
\end_inset

<cutoff> Direct space cutoff in Angstroms (default 8.0).
\end_layout

\begin_layout Description
dsumtol
\begin_inset space ~
\end_inset

<dtol> Direct sum tolerance (default 0.00001).
 Used to determine Ewald coefficient.
\end_layout

\begin_layout Description
order
\begin_inset space ~
\end_inset

<order> Spline order for charges.
\end_layout

\begin_layout Description
ljswidth
\begin_inset space ~
\end_inset

<width> If specified, use a force-switching form for the Lennard-Jones calculati
on from <cutoff>-<width> to <cutoff>.
\end_layout

\begin_layout Description
ewcoeff
\begin_inset space ~
\end_inset

<coeff> Ewald coefficient in 1/Ang.
\end_layout

\begin_layout Description
ljpme If specified use particle mesh Ewald for calculating Lennard-Jones
 interactions.
\end_layout

\begin_layout Description
ewcoefflj Ewald coefficient for Lennard-Jones PME.
\end_layout

\begin_layout Description
skinnb Used to determine pairlist atoms (added to cut, so pairlist cutoff
 is 
\series bold
cut
\series default
 + 
\series bold
skinnb
\series default
); included in order to maintain consistency with results from sander.
\end_layout

\begin_layout Description
nfft
\begin_inset space ~
\end_inset

<nfft1>,<nfft2>,<nfft3> Explicitly set the number of FFT grid points in
 each dimension.
 Will be determined automatically if not specified.
\end_layout

\begin_layout Description
erfcdx
\begin_inset space ~
\end_inset

<dx> Spacing to use for the ERFC splines (default 0.0002 Ang.).
\end_layout

\end_deeper
\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[bond] Bond energy.
\end_layout

\begin_layout Description
[angle] Angle energy.
\end_layout

\begin_layout Description
[dih] Dihedral energy.
\end_layout

\begin_layout Description
[vdw14] 1-4 van der Waals energy.
\end_layout

\begin_layout Description
[elec14] 1-4 electrostatic energy.
\end_layout

\begin_layout Description
[vdw] van der Waals energy.
\end_layout

\begin_layout Description
[elec] Electrostatic energy.
\end_layout

\begin_layout Description
[total] Total energy.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the energy for atoms in <mask>.
 If no terms are specified, all terms are calculated.
 Note that the non-bonded energy terms for 
\series bold
'simple'
\series default
 do not take into account periodicity and there is no distance cut-off.
 Electrostatics can also be determined via the direct sum, Ewald, or particle-me
sh Ewald summation procedures.
 The particle mesh Ewald functionality requires that CPPTRAJ be compiled
 with FFTW and a C++11 compliant compiler.
\end_layout

\begin_layout Standard
Calculation of energy terms requires that the associated topology file have
 parameters for any of the calculated terms, so for example angle calculations
 are not possible when using a PDB file as a topology, etc.
 All nonbonded calculations methods other than 
\series bold
simple
\series default
 require unit cell parameters.
\end_layout

\begin_layout Standard
For example, to calculate all energy terms and write to a Grace-format file:
\end_layout

\begin_layout LyX-Code
parm DPDP.parm7 
\end_layout

\begin_layout LyX-Code
trajin DPDP.nc 
\end_layout

\begin_layout LyX-Code
energy DPDP out ene.agr 
\end_layout

\begin_layout Subsection
esander
\end_layout

\begin_layout LyX-Code
esander [<name>] [out <filename>] [saveforces] [parmname <file>] [keepfiles]
\end_layout

\begin_layout LyX-Code
        [<namelist vars> ...]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Data set name.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write results to.
\end_layout

\begin_layout Description
[saveforces] If specified, save forces to frames.
 Requires writing frames in NetCDF format.
\end_layout

\begin_layout Description
[parmname
\begin_inset space ~
\end_inset

<file>] Name of temporary topology file (default: 'CpptrajEsander.parm7').
\end_layout

\begin_layout Description
[keepfiles] Keep temporary topology file after program execution.
\end_layout

\begin_layout Description
[<namelist
\begin_inset space ~
\end_inset

vars>] Namelist variables supported by the sander API in format 'var <value>';
 see below.
\end_layout

\end_deeper
\begin_layout Standard
Calculate energies for input frames using the sander API.
 It requires compilation with the SANDER API (sanderlib).
 This can be considered as a faster alternative to energy post-processing
 with sander (imin = 5).
 Currently the following sander namelist variables are supported: 
\series bold
extidel
\series default
, 
\series bold
intdiel
\series default
, 
\series bold
rgbmax
\series default
, 
\series bold
saltcon
\series default
, 
\series bold
cut
\series default
, 
\series bold
dielc
\series default
, 
\series bold
igb
\series default
, 
\series bold
alpb
\series default
, 
\series bold
gbsa
\series default
, 
\series bold
lj1264
\series default
, 
\series bold
ipb
\series default
, 
\series bold
inp
\series default
, 
\series bold
vdwmeth
\series default
, 
\series bold
ew_type
\series default
, 
\series bold
ntb
\series default
, 
\series bold
ntf
\series default
, 
\series bold
ntc
\series default
.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "chap:sander"

\end_inset

 for details.
\end_layout

\begin_layout Standard
If ntb/cut/igb are not specified cpptraj will attempt to pick reasonable
 values based on the input system.
 The defaults for a non-periodic system are ntb=0, cut=9999.0, igb=1.
 The defaults for a periodic system are ntb=1, cut=8.0, igb=0.
 This currently requires writing a temporary Amber topology, the name of
 which can be set by 
\series bold
parmname
\series default
.
 If 
\series bold
keepfiles
\series default
 is specified this temporary topology will not be deleted after execution.
\end_layout

\begin_layout Standard
For example, to calculate energies for a non-periodic system using igb=1
 (the default) with GB surface area turned on (gbsa=1):
\end_layout

\begin_layout LyX-Code
parm DPDP.parm7
\end_layout

\begin_layout LyX-Code
trajin DPDP.nc
\end_layout

\begin_layout LyX-Code
esander DPDP out Edpdp.dat gbsa 1 
\end_layout

\begin_layout Subsection
filter
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-filter"

\end_inset


\end_layout

\begin_layout LyX-Code
filter {<dataset arg> min <min> max <max> ...} [out <file>] [name <setname>]
\end_layout

\begin_layout LyX-Code
  	{[multi] | [filterset <set> [newset <newname>]] [countout <countfile>]}
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<dataset
\begin_inset space ~
\end_inset

arg> Data set name(s) to use for filtering
\end_layout

\begin_layout Description
min
\begin_inset space ~
\end_inset

<min> Allow values greater than <min> in dataset(s).
\end_layout

\begin_layout Description
max
\begin_inset space ~
\end_inset

<max> Allow values greater than <max> in dataset(s).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File containing 1 for frames that were allowed, 0 for frames that
 were filtered.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<setname>] Filtered data set name containing 1 for allowed frames, 0 for
 filtered frames.
\end_layout

\begin_layout Description
[multi] Filter each set separately instead of all together (creates filter
 set for each input set).
 Cannot be used with 'filterset'.
\end_layout

\begin_layout Description
[filterset
\begin_inset space ~
\end_inset

<set>] If specified, <set> will be filtered to only contain data that satisfies
 cutoffs.
 Cannot be used with 'multi'.
\end_layout

\begin_deeper
\begin_layout Description
[newset
\begin_inset space ~
\end_inset

<newname>] If specified a new set will be created from 'filterset' instead
 of replacing 'filterset'.
\end_layout

\end_deeper
\begin_layout Description
[countout
\begin_inset space ~
\end_inset

<count>] If specified, write number of elements passed and filtered to <countfil
e>.
 Cannot be used with 'multi'.
\end_layout

\begin_layout Standard
Sets Created (not 'multi')
\end_layout

\begin_layout Description
<setname> For each input element contains 1 for elements that 
\begin_inset Quotes eld
\end_inset

passed
\begin_inset Quotes erd
\end_inset

, 0 otherwise.
\end_layout

\begin_layout Description
<setname>[npassed] Number of elements that passed.
\end_layout

\begin_layout Description
<setname>[nfiltered] Number of elements filtered out.
\end_layout

\begin_layout Standard
Sets Created ('multi')
\end_layout

\begin_layout Description
<setname>:<idx> For each input set (number with <idx>, starting from 0)
 contains 1 for elements that 
\begin_inset Quotes eld
\end_inset

passed
\begin_inset Quotes erd
\end_inset

, 0 otherwise.
\end_layout

\end_deeper
\begin_layout Standard
For all following actions, only include frames that are between 
\series bold
<min>
\series default
 and 
\series bold
<max>
\series default
 of data sets in 
\series bold
<dataset arg>
\series default
.
 There must be at least one 
\series bold
<min>
\series default
 and 
\series bold
<max>
\series default
 argument, and there must be as many 
\series bold
<min>
\series default
/
\series bold
<max>
\series default
 arguments as there are specified data sets.
 If 
\series bold
'multi'
\series default
 is specified then only filter data sets will be created for each data set
 instead.
 If 
\series bold
'filterset'
\series default
 is specified, the specified <set> will be modified to only contain '1'
 frames; cannot be used with 
\series bold
'multi'
\series default
.
 If 
\series bold
'newset'
\series default
 is also specified, a new set will be created containing the '1' frames
 instead.
 The 
\series bold
'filterset'
\series default
 functionality only works for 1D scalar sets.
 If 
\series bold
'countout'
\series default
 is specified, the final number of elements passed and filtered out will
 be written to <countfile>.
\end_layout

\begin_layout Standard
For example, to write only frames in-between an RMSD of 0.7-0.8 Angstroms
 for a given input trajectory:
\end_layout

\begin_layout LyX-Code
trajin ../tz2.truncoct.nc
\end_layout

\begin_layout LyX-Code
rms R1 first :2-11
\end_layout

\begin_layout LyX-Code
filter R1 min 0.7 max 0.8 out filter.dat
\end_layout

\begin_layout LyX-Code
outtraj maxmin.crd
\end_layout

\begin_layout Standard
The output trajectory will only contain frames that meet the RMSD requirement,
 and the 
\emph on
filter.dat
\emph default
 file can be used to see which frames those were that were output.
\end_layout

\begin_layout Standard
A similar command that can be used with data that already exists (e.g.
 it has been read in with 
\series bold
\shape italic
readdata
\series default
\shape default
) is 
\series bold
\shape italic
datafilter
\series default
\shape default
 (see page 
\begin_inset CommandInset ref
LatexCommand pageref
reference "subsec:cpptraj-datafilter"

\end_inset

).
\end_layout

\begin_layout Subsection
fixatomorder
\end_layout

\begin_layout LyX-Code
fixatomorder [outprefix <prefix>] [parmout <filename>] 
\end_layout

\begin_layout LyX-Code
             [parmopts <comma-separated-list>]
\end_layout

\begin_layout LyX-Code
             [pdborder [hetatm <mask>]] (EXPERIMENTAL)
\end_layout

\begin_deeper
\begin_layout Description
outprefix
\begin_inset space ~
\end_inset

<prefix> Write re-ordered topology to <prefix>.<originalname>
\end_layout

\begin_layout Description
parmout
\begin_inset space ~
\end_inset

<filename> Write re-ordered topology to <filename>
\end_layout

\begin_layout Description
parmopts
\begin_inset space ~
\end_inset

<list> Options for writing topology file
\end_layout

\begin_layout Description
pdborder (EXPERIMENTAL) Try to reorder atoms according to PDB information.
\end_layout

\begin_deeper
\begin_layout Description
hetatm
\begin_inset space ~
\end_inset

<mask> Mark atoms in mask as HETATM, order them after other atoms.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Cpptraj (and most of Amber) expects that atom indices in molecules to increase
 monotonically.
 However, occasionally atom indices in molecules can become disordered or
 non-sequential, in which case cpptraj will print an error message such
 as the following:
\end_layout

\begin_layout LyX-Code
Error: Atom 45 was assigned a lower molecule # (1) than previous atom (2).
\end_layout

\begin_layout Standard
and:
\end_layout

\begin_layout LyX-Code
Error: Could not determine molecule information for <topology file>.
\end_layout

\begin_layout Standard
.
 This command fixes atom ordering so that all atoms in molecules are sequential.
 The 
\series bold
outprefix
\series default
 keyword will write out the re-ordered topology with name 
\series bold
<name>.<original name>
\series default
.
\end_layout

\begin_layout Standard
For example, given an out of order topology named 'outoforder.parm7' and
 a corresponding trajectory 'min1.crd', the following will produce a reordered
 topology named 'reorder.outoforder.parm7' and a reordered trajectory named
 'reorder.mdcrd':
\end_layout

\begin_layout LyX-Code
parm outoforder.parm7
\end_layout

\begin_layout LyX-Code
trajin min1.crd 1 10
\end_layout

\begin_layout LyX-Code
fixatomorder outprefix reorder
\end_layout

\begin_layout LyX-Code
trajout reorder.mdcrd 
\end_layout

\begin_layout Standard
If 
\series bold
'pdborder'
\series default
 is specified, attempt to organize atoms by PDB information (i.e.
 Chain ID, original residue numbering, and insertion codes).
 Atoms optionally specified by 
\series bold
'hetatm
\series default
 
\series bold
<mask>
\series default
' will be placed after all other atoms.
 
\emph on
Note that the 'pdborder' keyword is still experimental, and requires that
 the Topology have PDB-type information present.
\end_layout

\begin_layout Subsection
fiximagedbonds
\end_layout

\begin_layout LyX-Code
fiximagedbonds [<mask>]
\end_layout

\begin_deeper
\begin_layout Description
<mask> Mask expression of atoms to check.
\end_layout

\end_deeper
\begin_layout Standard
Fix bonds that have been split across periodic boundary conditions by imaging.
 It may be desirable to reimage the coordinates after this with 
\series bold
\emph on
autoimage
\series default
\emph default
.
\end_layout

\begin_layout Subsection
gist (Grid Inhomogeneous Solvation Theory)
\end_layout

\begin_layout LyX-Code
gist
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
gist
\end_layout

\end_inset

 [doorder] [doeij] [skipS] [skipE] [refdens <rdval>] [temp <tval>]
\end_layout

\begin_layout LyX-Code
     [noimage] [gridcntr <xval> <yval> <zval>] [excludeions]
\end_layout

\begin_layout LyX-Code
     [griddim <xval> <yval> <zval>] [gridspacn <spaceval>]
\end_layout

\begin_layout LyX-Code
     [prefix <filename prefix>] [ext <grid extension>] [out <output>]
\end_layout

\begin_layout LyX-Code
     [info <info>]
\end_layout

\begin_deeper
\begin_layout Description

\series bold
[doorder]
\series default
 Calculate the water order parameter 
\begin_inset CommandInset citation
LatexCommand citep
key "Chatterjee"
literal "true"

\end_inset

 for each voxel.
\end_layout

\begin_layout Description

\series bold
[doeij]
\series default
 Calculate the triangular matrix representing the water-water interactions
 between pairs of voxels (see below).
\end_layout

\begin_layout Description
[skipE] Skip all energy calculations (cannot be specified with 
\series bold
'doeij'
\series default
).
\end_layout

\begin_layout Description
[skipS] Skip all entropy calculations.
\end_layout

\begin_layout Description

\series bold
[refdens
\begin_inset space ~
\end_inset

rdval>]
\series default
 Reference density of bulk water, used in computing
\series bold
 g_O
\series default
,
\series bold
 g_H
\series default
, and the translational entropy.
 Default is 0.0334 molecules/Å
\begin_inset Formula $^{3}$
\end_inset

.
\end_layout

\begin_layout Description
[temp
\begin_inset space ~
\end_inset

<tval>] Temperature of the input trajectory.
\end_layout

\begin_layout Description
[noimage] Disable distance imaging in energy calculation.
\end_layout

\begin_layout Description
[excludeions] If specified, exclude any ions from the calculation.
\end_layout

\begin_layout Description

\series bold
[gridcntr
\begin_inset space ~
\end_inset

<xval>
\begin_inset space ~
\end_inset

<yval>
\begin_inset space ~
\end_inset

<zval>]
\series default
 Coordinates (Å) of the center of the grid (default 0.0, 0.0, 0.0).
\end_layout

\begin_layout Description

\series bold
[griddim
\begin_inset space ~
\end_inset

<xval>
\begin_inset space ~
\end_inset

<yval>
\begin_inset space ~
\end_inset

<zval>]
\series default
 Grid dimensions along each coordinate axis (default 40, 40, 40).
\end_layout

\begin_layout Description

\series bold
[gridspacn
\begin_inset space ~
\end_inset

<spaceval>]
\series default
 Grid spacing (linear dimension of each voxel) in Angstroms.
 Values greater than 0.75 Å are not recommended (default 0.5 Å).
\end_layout

\begin_layout Description
[prefix
\begin_inset space ~
\end_inset

<filename
\begin_inset space ~
\end_inset

prefix>] Output file name prefix (default 
\begin_inset Quotes eld
\end_inset

gist
\begin_inset Quotes erd
\end_inset

).
\end_layout

\begin_layout Description
[ext
\begin_inset space ~
\end_inset

<grid
\begin_inset space ~
\end_inset

extension>] Output grid file name extension (default 
\begin_inset Quotes eld
\end_inset

.dx
\begin_inset Quotes erd
\end_inset

).
\end_layout

\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<output>]
\series default
 Name of the main GIST output file.
 If not specified set to '<prefix>-output.dat'.
\end_layout

\begin_layout Description
[info
\begin_inset space ~
\end_inset

<info>] Name of main GIST info file.
 If not specified info is written to standard output.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[gO] Number density of oxygen centers found in the voxel, in units of the
 bulk density.
\end_layout

\begin_layout Description
[gH] Number density of hydrogen centers found in the voxel in units of the
 reference bulk density.
\end_layout

\begin_layout Description
[Esw] Mean solute-water interaction energy density.
\end_layout

\begin_layout Description
[Eww] Mean water-water interaction energy density.
\end_layout

\begin_layout Description
[dTStrans] First order translational entropy density.
\end_layout

\begin_layout Description
[dTSorient] First order orientational entropy density .
\end_layout

\begin_layout Description
[neighbor] Mean number of waters neighboring the water molecules found in
 this voxel multiplied by the voxel number density.
\end_layout

\begin_layout Description
[dipole] Magnitude of mean dipole moment (polarization).
\end_layout

\begin_layout Description
[order] Average Tetrahedral Order Parameter.
\end_layout

\begin_layout Description
[dipolex] x-component of the mean water dipole moment density
\end_layout

\begin_layout Description
[dipoley] y-component of the mean water dipole moment density
\end_layout

\begin_layout Description
[dipolez] z-component of the mean water dipole moment density
\end_layout

\begin_layout Description
[Eij] Water-water interaction matrix.
\end_layout

\end_deeper
\begin_layout Standard
Grid Inhomogeneous Solvation Theory 
\begin_inset CommandInset citation
LatexCommand citep
key "Lazaridis,Nguyen-gist"
literal "true"

\end_inset

 (GIST) is a method for analyzing the structure and thermodynamics of solvent
 in the vicinity of a solute molecule.
 The current implementation works for only water, but the method can be
 generalized to other solvents whose molecules are rigid like water, such
 as chloroform or dimethylsulfoxide (DMSO).
 GIST post-processes explicit solvent simulation data to create a three-dimensio
nal mapping of water density and thermodynamic properties within a region
 of interest, which is defined by a user-specified 3D rectangular grid.
 The small grid boxes are referred to as voxels, and each voxel is associated
 with solvent properties.
 (See Fig.
 
\begin_inset CommandInset ref
LatexCommand ref
reference "gist-1-1"

\end_inset

.) The GIST implementation incorporated into AmberTools 
\emph on
cpptraj
\emph default
 also calculates a number of other local water properties, as listed below.
 GIST works for the nonpolarizable water models currently supported by AMBER.
\end_layout

\begin_layout Standard
In order to carry out a GIST calculation, you must have a trajectory file
 generated with explicit water, as well as the corresponding topology file.
 To generate the most readily interpretable results, it is recommended that
 the solute (e.g., a protein) be restrained into essentially one conformation.
 GIST will then provide information about the structure and thermodynamics
 of the solvent for that conformation.
 For a room-temperature simulation of a solvent-exposed binding site, and
 a grid-spacing of 0.5 Å, it is recommended that the simulation be at least
 10-20 ns in duration, and it is also a good idea to check for convergence
 of the GIST properties you are interested in by loading and then processing
 successively more frames of your trajectory file.
 Because GIST assumes that the solute of interest comprises all molecules
 in the simulation that are not waters, it is a good idea to remove all
 counterions and cosolutes with cpptraj's strip command before running GIST.
 A sample series of cpptraj commands for running GIST is provided below.
\end_layout

\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open

\begin_layout Plain Layout
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
centering
\end_layout

\end_inset


\begin_inset Graphics
	filename gist.png
	width 70text%

\end_inset

 
\begin_inset Caption Standard

\begin_layout Plain Layout
Diagram, in 2D, of GIST's gridded water properties in a binding site.
\end_layout

\end_inset


\end_layout

\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "gist-1-1"

\end_inset


\end_layout

\end_inset


\end_layout

\begin_layout Standard
Although it is not mandatory to supply values of 
\series bold
gridcntr
\series default
, 
\series bold
griddim
\series default
 and 
\series bold
gridspcn
\series default
, these parameters should be carefully chosen, because they determine the
 region to be analyzed (
\series bold
gridcntr
\series default
 and 
\series bold
griddim
\series default
) and the spatial resolution and convergence properties of the results (
\series bold
gridspcn
\series default
).
 In particular, although smaller grid spacings will give finer spatial resolutio
n, longer simulation times will be needed to converge the properties in
 the smaller voxels that result.
 A larger grid spacing will allow earlier convergence, but will smooth the
 spatial distributions and hence can reduce accuracy.
 
\end_layout

\begin_layout Standard
The reference density of water (
\series bold
rdval
\series default
) is taken by default to be the experimental number density of pure water
 at 300 K and 1 atm.
 However, different water models may yield slightly different bulk densities
 under these conditions, and the density also depends on T and P.
 If you know that the bulk density of the water model you are using, at
 the T and P of your simulation, deviates significantly from 0.0334 water
 molecules/Å
\begin_inset Formula $^{3}$
\end_inset

, it would be advisable to supply the actual value with the 
\series bold
refdens
\series default
 keyword, instead of allowing GIST to supply the default value.
\end_layout

\begin_layout Standard
For GIST, a GPU accelerated version is available, in which the interaction
 energy is calculated using CUDA.
 When using the GPU accelerated version of GIST, the 
\series bold
doeij 
\series default
keyword is not available.
 It is recommended to use a grid covering the entire box, when using the
 GPU implementation.
 You may also choose a smaller grid, but all interaction energies, i.e., each
 atom with each atom, will always be calculated independent of the chosen
 grid.
 This ensures optimum performance when calculating the interaction energies.
 Thus, the additional time required to calculate the order parameters (
\series bold
doorder
\series default
) is negligible.
\end_layout

\begin_layout Subsubsection*
\paragraph_spacing other 3
\noindent

\series bold
GIST Output
\series default
 
\end_layout

\begin_layout Standard
GIST generates a main output file and a collection of grid data files that
 by default are in Data Explorer format (.dx); this can be changed via the
 
\series bold
ext
\series default
 keyword.
 These grid files enable visualization of the various gridded quantities,
 such as with the program VMD 
\begin_inset CommandInset citation
LatexCommand citep
key "humprey"
literal "true"

\end_inset

.
 If the 
\series bold
doeij
\series default
 keyword is provided, GIST also writes out a matrix of water-water interactions
 between pairs of voxels.
 In addition, run details are written to stdout, which can be redirected
 into a log file.
 
\end_layout

\begin_layout Standard
Note that a number of quantities are written out as both densities and normalize
d quantities.
 For example, the output file includes both the solute-water energy density
 and the normalized (per water) solute-water energy.
 In all cases, the normalized quantity at voxel 
\begin_inset Formula $i$
\end_inset

, 
\begin_inset Formula $X_{i,norm}$
\end_inset

 is related to the corresponding density, 
\begin_inset Formula $X_{i,dens}$
\end_inset

, by the relationship 
\begin_inset Formula $X_{i,norm}=\rho_{i}X_{i,dens}$
\end_inset

, where 
\begin_inset Formula $\rho_{i}$
\end_inset

 is the number density of water in the voxel.
 The normalized quantity provides information regarding the nature of the
 water found in the voxel.
 The density has the property that, if the grid extended over the entire
 simulation volume, the total system quantity would be given by 
\begin_inset Formula $X_{tot}=V_{voxel}\sum_{i}X_{i,dens}$
\end_inset

, where 
\begin_inset Formula $V_{voxel}$
\end_inset

 is the volume of one grid voxel.
 
\end_layout

\begin_layout Standard
The main output file takes the form of a space-delimited-variable file,
 where each row corresponds to one voxel of the grid.
 This file can easily be opened with and manipulated with spreadsheet programs
 like Excel and LibreOffice Calc.
 The columns are as follows.
 
\end_layout

\begin_layout Itemize

\series bold
index
\series default
 - A unique, sequential integer assigned to each voxel
\end_layout

\begin_layout Itemize

\series bold
xcoord
\series default
 - x coordinate of the center of the voxel (Å)
\end_layout

\begin_layout Itemize

\series bold
ycoord
\series default
 - y coordinate of the center of the voxel (Å)
\end_layout

\begin_layout Itemize

\series bold
zcoord
\series default
 - z coordinate of the center of the voxel (Å)
\end_layout

\begin_layout Itemize

\series bold
population 
\series default
- Number of water molecule, 
\begin_inset Formula $n_{i}$
\end_inset

, found in the voxel over the entire simulation.
 A water molecule is deemed to populate a voxel if its oxygen coordinates
 are inside the voxel.
 The expectation value of this quantity increases in proportion to the length
 of the simulation.
\end_layout

\begin_layout Itemize

\series bold
g_O
\series default
 - Number density of oxygen centers found in the voxel, in units of the
 bulk density (rdval).
 Thus, the expectation value of 
\series bold
g_O
\series default
 for a neat water system is unity.
\end_layout

\begin_layout Itemize

\series bold
g_H
\series default
 - Number density of hydrogen centers found in the voxel in units of the
 reference bulk density (2
\begin_inset Formula $\times$
\end_inset

rdval).
 Thus, the expectation value of 
\series bold
g_H
\series default
 for a neat water system would be unity.
\end_layout

\begin_layout Itemize

\series bold
dTStrans-dens
\series default
 - First order translational entropy density (kcal/mole/Å
\begin_inset Formula $^{3}$
\end_inset

), referenced to the translational entropy of bulk water, based on the value
 rdval.
\end_layout

\begin_layout Itemize

\series bold
dTStrans-norm
\series default
 - First order translational entropy per water molecule (kcal/mole/molecule),
 referenced to the translational entropy of bulk water, based on the value
 rdval.
 The quantity
\series bold
 dTStrans-norm
\series default
 equals 
\series bold
dTStrans-dens
\series default
 divided by the number density of the voxel.
\end_layout

\begin_layout Itemize

\series bold
dTSorient-dens
\series default
 - First order orientational entropy density (kcal/mole/Å
\begin_inset Formula $^{3}$
\end_inset

), referenced to bulk solvent (see below).
\end_layout

\begin_layout Itemize

\series bold
dTSorient-norm
\series default
 - First order orientational entropy per water molecule (kcal/mole/water),
 referenced to bulk solvent (see below).
 This quantity equals
\series bold
 dTSorient-dens
\series default
 divided by the number density of the voxel.
\end_layout

\begin_layout Itemize

\series bold
Esw-dens
\series default
 - Mean solute-water interaction energy density (kcal/mole/Å
\begin_inset Formula $^{3}$
\end_inset

).
 This is the interaction of the solvent in a given voxel with the entire
 solute.
 Both Lennard-Jones and electrostatic interactions are computed without
 any cutoff, within the minimum image convention but without Ewald summation.
 This quantity is referenced to bulk, in the trivial sense that the solute-solve
nt interaction energy is zero in bulk.
\end_layout

\begin_layout Itemize

\series bold
Esw-norm
\series default
 - Mean solute-water interaction energy per water molecule.
 This equals
\series bold
 Esw-dens
\series default
 divided by the number density of the voxel (kcal/mole/molecule).
\end_layout

\begin_layout Itemize

\series bold
Eww-dens
\series default
 - Mean water-water interaction energy density, scaled by ½ to prevent double-co
unting, and not referenced to the corresponding bulk value of this quantity
 (see below).
 This quantity is one half of the mean interaction energy of the water in
 a given voxel with all other waters in the system, both on and off the
 GIST grid, divided by the volume of the voxel (kcal/mole/Å
\begin_inset Formula $^{3}$
\end_inset

).
 Again, both Lennard-Jones and electrostatic interactions are computed without
 any cutoff, within the minimum image convention.
\end_layout

\begin_layout Itemize

\series bold
Eww-norm
\series default
 - Mean water-water interaction energy, normalized to the mean number of
 water molecules in the voxel (kcal/mole/water).
 See prior column definition for details.
\end_layout

\begin_layout Itemize

\series bold
Dipole_x-dens
\series default
 - x-component of the mean water dipole moment density (Debye/Å
\begin_inset Formula $^{3}$
\end_inset

).
\end_layout

\begin_layout Itemize

\series bold
Dipole_y-dens
\series default
 - y-component of the mean water dipole moment density (Debye/Å
\begin_inset Formula $^{3}$
\end_inset

).
\end_layout

\begin_layout Itemize

\series bold
Dipole_z-dens
\series default
 - z-component of the mean water dipole moment density (Debye/Å
\begin_inset Formula $^{3}$
\end_inset

).
\end_layout

\begin_layout Itemize

\series bold
Dipole-dens
\series default
 - Magnitude of mean dipole moment (polarization) (Debye/Å
\begin_inset Formula $^{3}$
\end_inset

).
\end_layout

\begin_layout Itemize

\series bold
Neighbor-dens
\series default
 - Mean number of waters neighboring the water molecules found in this voxel
 multiplied by the voxel number density.
 Two waters are considered neighbors if their oxygens are within 3.5 angstroms
 of each other.
 For any given frame, the contribution to the average is set to zero if
 no water is found in the voxel (units of number/Å
\begin_inset Formula $^{3}$
\end_inset

).
\end_layout

\begin_layout Itemize

\series bold
Neighbor-norm
\series default
 - Mean number of neighboring water molecules, per water molecule found
 in the voxel (units of number per water).
\end_layout

\begin_layout Itemize

\series bold
Order-norm
\series default
 - Average Tetrahedral Order Parameter 
\begin_inset CommandInset citation
LatexCommand citep
key "Chatterjee"
literal "true"

\end_inset

, 
\begin_inset Formula $q_{tet}$
\end_inset

, for water molecules found in the voxel, normalized by the number of waters
 in the voxel.
 The order parameter for water 
\begin_inset Formula $i$
\end_inset

 in a given frame is given by: 
\begin_inset Formula $q_{tet}(i)=1-\frac{3}{8}\sum_{j=1}^{3}\sum_{k=j+1}^{4}(cos\phi_{ijk}+\frac{1}{3})^{2}$
\end_inset

 where 
\begin_inset Formula $j$
\end_inset

 and 
\begin_inset Formula $k$
\end_inset

 index the 4 closest water neighbors to water 
\begin_inset Formula $i$
\end_inset

, and 
\begin_inset Formula $\phi_{ijk}$
\end_inset

 is the angle formed by water 
\begin_inset Formula $i$
\end_inset

, 
\begin_inset Formula $j$
\end_inset

, and 
\begin_inset Formula $k$
\end_inset

.
 If the doorder keyword is not provided or is set to FALSE, then this calculatio
n will not be done, and the entries in this column will be set to zero.
\end_layout

\begin_layout Standard
Grid files are provided for all computed quantities listed above, except
 that the normalized quantities are not included.
 The filenames are as follows: gist-gO.dx, gist-gH.dx, gist-dTStrans-dens.dx,
 gist-dTSorient-dens.dx, gist-Esw-dens.dx, gist-Eww-dens.dx, gist-dipolex-dens.dx,
 gist-dipoley-dens.dx, gist-dipolez-dens.dx, gist-dipole-dens.dx, gist-neighbor-den
s.dx, gist-neighbor-norm.dx, gist-order-norm.dx.
 If the 
\series bold
doorder
\series default
 keyword is not provided, then the data in gist-order-norm.dx will all be
 zeroes.
 Note that the file of voxel water densities, gist-gO.dx, can be used as
 input to the program Placevent 
\begin_inset CommandInset citation
LatexCommand citep
key "Sindhikara"
literal "true"

\end_inset

, in order to define spherical hydration sites based on the density distribution.
\end_layout

\begin_layout Standard
Similar grid files with other computed quantities can be generated by reading
 the gist.out file into a spreadsheet program, processing the numbers to
 generate a new column of voxel data of interest, and writing this column
 to an ascii text file.
 Then the Perl script write_dx_file.pl, which should be available on the
 GIST tutorial web-site, may be used to read in the column of data and create
 the corresponding dx file.
 The input format, and an example, are as follows: 
\end_layout

\begin_layout LyX-Code
./write_dx_file.pl [filename] [x-dimension y-dimension z-dimension]
\end_layout

\begin_layout LyX-Code
[x-origin y-origin z-origin] [grid spacing]
\end_layout

\begin_layout LyX-Code
./write_dx_file.pl file.dat 40 40 40 13.0 13.0 13.0 0.75
\end_layout

\begin_layout Standard
If the doeij keyword is provided, GIST also writes a large file, Eww_ij.dat,
 containing the mean water-water interaction energies between pairs of voxels,
 scaled by ½.
 (See below.) This file has three columns.
 The first two columns are voxel indexes, 
\begin_inset Formula $i$
\end_inset

, 
\begin_inset Formula $j$
\end_inset

, where 
\begin_inset Formula $j>i$
\end_inset

, so that no pair appears more than once, and the third column is the mean
 interaction energy (kcal/mole) of water in voxels 
\begin_inset Formula $i$
\end_inset

 and
\begin_inset Formula $j$
\end_inset

, scaled by ½.
 If the occupancy of either voxel is 0, such as for voxels covered by solute
 atoms, then the interaction energy is zero.
 In order to save space, such interactions are omitted from the file.
 
\end_layout

\begin_layout Standard
\paragraph_spacing other 3
\noindent

\series bold
Sample cpptraj input file to run GIST 
\end_layout

\begin_layout Standard
The following input file, gist.in, causes cpptraj to read a parameter file
 named topology.top; read in the first 5000 frames of the trajectory file
 named trajectoryfile.mdcrd; strip out all Na and Cl ions; and carry out
 a GIST run which computes order parameters, uses a 41x41x45 grid centered
 at (25.0, 31.0, 30.0) with a spacing of 0.5 Å, uses the default bulk water
 density of 0.0334 molecules/Å
\begin_inset Formula $^{3}$
\end_inset

, and generates the main output file gist.out.
 
\end_layout

\begin_layout LyX-Code
parm topology.top
\end_layout

\begin_layout LyX-Code
trajin trajectoryfile.mdcrd 1 5000
\end_layout

\begin_layout LyX-Code
strip @Na
\end_layout

\begin_layout LyX-Code
strip @Cl
\end_layout

\begin_layout LyX-Code
gist doorder doeij gridcntr 25.0 31.0 30.0 griddim 41 41 45 
\end_layout

\begin_layout LyX-Code
    gridspacn 0.50 out gist.out
\end_layout

\begin_layout LyX-Code
go
\end_layout

\begin_layout Standard
To execute this run in the background, use 
\end_layout

\begin_layout LyX-Code
cpptraj<gist.in>gist.log& or cpptraj –i gist.in>gist.log& 
\end_layout

\begin_layout Standard
\paragraph_spacing other 3
\noindent

\series bold
Referencing GIST results to unperturbed (bulk) water
\series default
 
\end_layout

\begin_layout Standard
Inhomogeneous fluid solvation theory, which is the basis of GIST, is designed
 to provide information on how water structure and thermodynamics around
 a solute molecule, such as a protein, are changed relative to the structure
 and thermodynamics of unperturbed (bulk) water.
 Accordingly, the quantities reported by GIST are most informative when
 the results are referenced to the corresponding bulk water properties.
 For the orientational entropy, the reference value is the same regardless
 of water model or conditions, because the first order orientational distributio
n of water in the bulk is always uniform.
 Therefore, the GIST results for orientational entropies are already referenced
 to bulk.
 However, cpptraj reports unreferenced values for those GIST quantities
 whose reference values depend upon the water model and the simulation condition
s; i.e., the energies.
 The translational entropy as well as the number densities will be referenced
 to bulk using the input referenced density or the default density value
 of 0.0334.
 The table below provides useful reference values for these quantities,
 computed for various water models at P=1atm, T=300K, using GIST in order
 to ensure a consistent minimum image treatment of periodic boundary conditions.
 
\end_layout

\begin_layout Standard
\begin_inset Float table
wide false
sideways false
status open

\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="3">
<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Water Model
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
 Mean Energy (Eww-norm) (kcal/mol/water) 
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Number Density (Å
\begin_inset Formula $^{-3}$
\end_inset

)
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
TIP3P
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-9.533
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0.0329
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
TIP4PEW
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-11.036
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0.0332
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
TIP4P
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-9.856
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0.0332
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
TIP5P
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-9.596
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0.0329
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Tip3PFW
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-11.369
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0.0334
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
SPCE
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-11.123
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0.0333
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
SPCFW
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-11.873
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0.0329
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Plain Layout
\begin_inset Caption Standard

\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "tab:cpptraj-gist-1"

\end_inset

Water model energy and density.
\end_layout

\end_inset


\end_layout

\end_inset


\end_layout

\begin_layout Standard
Users running calculations under significantly different conditions, or
 with different water models, should consider generating their own reference
 quantities by applying GIST to a simulation of pure water under their condition
s of interest.
 The quantities of interest can then be obtained in their most precise available
 form by averaging over voxels, for the pure water simulation.
 If the quantity of interest is 
\begin_inset Formula $Q$
\end_inset

, then its average reference value is 
\begin_inset Formula $Q_{reference}=\frac{\sum n_{i}Q_{i}}{\sum n_{i}}$
\end_inset

, where 
\begin_inset Formula $Q_{i}$
\end_inset

 and 
\begin_inset Formula $n_{i}$
\end_inset

 are, respectively, GIST's reported values of the quantity and the population
 in voxel 
\begin_inset Formula $i$
\end_inset

.
 The densities, 
\begin_inset Formula $\rho_{i}$
\end_inset

, are referenced to the corresponding bulk densities, 
\begin_inset Formula $\rho^{o}$
\end_inset

, as 
\begin_inset Formula $g_{i}=\rho_{i}/\rho^{o}$
\end_inset

, while the energy and entropy terms are referenced by subtracting their
 bulk values.
\end_layout

\begin_layout Standard
\paragraph_spacing other 3
\noindent

\series bold
Interpreting GIST results
\series default
 
\end_layout

\begin_layout Standard
GIST provides access to the first order entropies and the first- and second-orde
r energies of inhomogeneous fluid solvation theory.
 Non-zero higher-order entropies exist but are not yet computationally accessibl
e.
 However, for a pairwise additive force-field, such as those listed in the
 Table above, the energy is fully described at the second order provided
 by GIST.
 
\end_layout

\begin_layout Standard
GIST is a research tool, and its applications (to, for example, protein-ligand
 binding and protein function) are still being explored.
 The following general comments may be helpful to users studying GIST results.
 
\end_layout

\begin_layout Standard
1.
 The water in voxels near a solute (e.g., a protein) almost always has unfavorable
 water-water interaction energies, relative to bulk, simply because the
 solute displaces water, resulting in fewer proximal water-water interactions.
 
\end_layout

\begin_layout Standard
2.
 The unfavorable water-water energies mentioned in 
\begin_inset CommandInset citation
LatexCommand citep
key "Lazaridis"
literal "true"

\end_inset

 may be balanced by favorable water-solute interactions.
 If they are not, as may occur especially for voxels in small, hydrophobic
 pockets, then the net energy of the water in the voxel may be unfavorable
 relative to bulk, in which case a ligand which displaces water from the
 voxel into bulk may get a boost in affinity.
 
\end_layout

\begin_layout Standard
3.
 Because the first order orientational distribution of bulk water is uniform,
 and a nonuniform distribution always has lower entropy than a uniform one,
 the solute can only lower the orientational entropy of water, relative
 to bulk.
 Thus, this term always opposes solvation, and displacing oriented water
 into the bulk is always favorable from the standpoint of orientational
 entropy.
 
\end_layout

\begin_layout Standard
4.
 Localized water, which corresponds to voxels with high water density, has
 a low first order translational entropy, and the translational entropy
 around a solute is lower than that in bulk, as a nonuniform translational
 distribution takes the place of the uniform translational distribution
 of bulk water.
 
\end_layout

\begin_layout Standard
5.
 The displacement of highly oriented (low orientational entropy) and localized
 (low translational entropy) water into bulk leads to a favorable increase
 in these entropy terms.
 
\end_layout

\begin_layout Standard
6.
 However, highly oriented and localized water is often the consequence of
 strongly favorable polar interactions, such as hydrogen-bonding, between
 water and the solute.
 As a consequence, the net favorability of displacing such water is frequently
 a balance between favorable entropic consequences and unfavorable energetic
 consequences.
 
\end_layout

\begin_layout Standard
7.
 The water-water energy associated with a given voxel accounts for the interacti
ons of the waters in this voxel with all other waters in the system, including
 waters in other voxels.
 This quantity is multiplied by ½, so that, in a pure-water system where
 the GIST grid covers the entire simulation box, the sum over all voxels
 equals the correct mean water-water interaction energy.
 Note that Reference 
\begin_inset CommandInset citation
LatexCommand citep
key "Nguyen-gist"
literal "true"

\end_inset

 does not include this factor of ½.
 
\end_layout

\begin_layout Standard
8.
 For a typical GIST application, in which the grid occupies only part of
 the simulation box, the energy bookkeeping can become complicated, as discussed
 in Section II.B.3 (page 044101-6) of Reference 
\begin_inset CommandInset citation
LatexCommand citep
key "Nguyen-gist"
literal "true"

\end_inset

.
 That section also explains how one can compute the water-water energy associate
d with a region 
\begin_inset Formula $R$
\end_inset

 defined by a set of voxels, 
\begin_inset Formula $E_{WW}^{R}$
\end_inset

.
 The regional water-water energy, on a normalized (per water) basis, is
 given by 
\begin_inset Formula $E_{WW}^{R}=2(\sum_{i\in R}E_{i,WW}-\sum_{i\in R}\sum_{j\in R,j>i}E_{i,j,WW})$
\end_inset

 where 
\begin_inset Formula $i\in R$
\end_inset

 means that voxel 
\begin_inset Formula $i$
\end_inset

 is in region 
\begin_inset Formula $R$
\end_inset

, 
\begin_inset Formula $E_{i,WW}$
\end_inset

 is the value of Eww-norm for voxel 
\begin_inset Formula $i$
\end_inset

, and 
\begin_inset Formula $E_{i,j,WW}$
\end_inset

 is the value of the water-water interaction energy between voxels 
\begin_inset Formula $i$
\end_inset

 and 
\begin_inset Formula $j$
\end_inset

, taken from the file Eww_ij.dat.
 The extra factor of 2 in the present formula, relative to that in the paper,
 results from application of an extra factor of ½ to the reported water-water
 interaction energies here.
 
\end_layout

\begin_layout Subsection
grid
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_grid"

\end_inset


\end_layout

\begin_layout LyX-Code
grid <filename>
\end_layout

\begin_layout LyX-Code
 	{ data <dsname> | boxref <ref name/tag> <nx> <ny> <nz> |
\end_layout

\begin_layout LyX-Code
 	  <nx> <dx> <ny> <dy> <nz> <dz> [gridcenter <cx> <cy> <cz>] }
\end_layout

\begin_layout LyX-Code
 	[box|origin|center <mask>] [negative] [name <gridname>]
\end_layout

\begin_layout LyX-Code
 	<mask> [normframe | normdensity [density <density>]]
\end_layout

\begin_layout LyX-Code
	 [pdb <pdbout> [max <fraction>]] [{byres|mymol}]
\end_layout

\begin_layout LyX-Code
 	[[smoothdensity <value>] [invert]] [madura <madura>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<filename> File to write out grid to.
 Use 
\begin_inset Quotes eld
\end_inset

.grid
\begin_inset Quotes erd
\end_inset

 or 
\begin_inset Quotes eld
\end_inset

.xplor
\begin_inset Quotes erd
\end_inset

 extension for XPLOR format, 
\begin_inset Quotes eld
\end_inset

.dx
\begin_inset Quotes erd
\end_inset

 for OpenDX format.
\end_layout

\begin_layout Standard
Options for setting up grid:
\end_layout

\begin_layout Description
data
\begin_inset space ~
\end_inset

<dsname> Use previously calculated/loaded grid data set named <dsname>.
 When using this option there is no need to specify grid bins/spacing/center.
\end_layout

\begin_layout Description
boxref
\begin_inset space ~
\end_inset

<ref
\begin_inset space ~
\end_inset

name/tag>
\begin_inset space ~
\end_inset

<nx>
\begin_inset space ~
\end_inset

<ny>
\begin_inset space ~
\end_inset

<nz> Set up grid using box information from a previously loaded reference
 structure.
 Currently the only way to set up non-orthogonal grids.
\end_layout

\begin_layout Description
<nx>
\begin_inset space ~
\end_inset

<dx>
\begin_inset space ~
\end_inset

<ny>
\begin_inset space ~
\end_inset

<dy>
\begin_inset space ~
\end_inset

<nz>
\begin_inset space ~
\end_inset

<dz> Number of grid bins and spacing in the X/Y/Z directions.
\end_layout

\begin_layout Description
[gridcenter
\begin_inset space ~
\end_inset

<cx>
\begin_inset space ~
\end_inset

<cy>
\begin_inset space ~
\end_inset

<cz>] Location of grid center, default is origin (0.0, 0.0, 0.0).
\end_layout

\begin_layout Standard
Options for offset during grid binning (must center grid at origin):
\end_layout

\begin_layout Description
[box] Offset each point by location of box center prior to gridding.
 Cannot be used with 'gridcenter'.
\end_layout

\begin_layout Description
[origin] No offset (default)
\end_layout

\begin_layout Description
[center
\begin_inset space ~
\end_inset

<mask>] Offset each point by center of atoms in <mask> prior to gridding.
 Cannot be used with 'gridcenter'.
\end_layout

\begin_layout Standard
Other options:
\end_layout

\begin_layout Description
[negative] Grid negative density instead of positive density.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<gridname>] Grid data set name.
\end_layout

\begin_layout Description
<mask> Mask of atoms to grid.
\end_layout

\begin_layout Description
[normframe] Normalize grid bins by the number of frames.
\end_layout

\begin_layout Description
[normdensity
\begin_inset space ~
\end_inset

[density
\begin_inset space ~
\end_inset

<density>]] Normalize grid bins by density: GridBin = GridBin / (Nframes
 * BinVolume * density).
 Default particle density (molecules/Ang^3) for water based on 1.0 g/mL.
\end_layout

\begin_layout Description
[pdb
\begin_inset space ~
\end_inset

<pdbout>
\begin_inset space ~
\end_inset

[max
\begin_inset space ~
\end_inset

<fraction>]] Write a pseudo-PDB of grid points that have density greater
 than <fraction> (default 0.80) of the grid max value.
\end_layout

\begin_layout Description
[{byres|bymol}] Grid the centers of mass of residues or molecules selected
 by <mask>.
\end_layout

\begin_layout Standard
Less common options:
\end_layout

\begin_layout Description
[smoothdensity
\begin_inset space ~
\end_inset

<smooth>] Used to smooth density.
 The smoothing takes the form of GridBin = 0 if GridBin < smooth, otherwise
 GridBin = GridBin - (GridBin * exp[-(GridBin - smooth)^2 / (0.2 * smooth^2)]).
\end_layout

\begin_layout Description
[invert] (Only used if smoothdensity also used) Do inverse smoothing (i.e.
 if GridBin > smooth).
\end_layout

\begin_layout Description
[madura
\begin_inset space ~
\end_inset

<madura>] Grid values lower than <madura> become flipped in sign, exposes
 low density.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<dsname> Grid data set.
\end_layout

\end_deeper
\begin_layout Standard
Create a grid representing the histogram of atoms in 
\shape italic
mask1
\shape default
 on the 3D grid that is "
\shape italic
nx
\shape default
 * 
\shape italic
x_spacing
\shape default
 by 
\shape italic
ny
\shape default
 * 
\shape italic
y_spacing
\shape default
 by 
\shape italic
nz
\shape default
 * 
\shape italic
z_spacing
\shape default
 angstroms (cubed).
 By default the grid is centered at the origin unless 
\series bold
gridcenter
\series default
 is specified.
 Grid points can be offset by either the box center (using 
\series bold
box
\series default
) or the center of specified atoms (using 
\series bold
center <mask>
\series default
); if either of these options are used the grid must be centered at the
 origin.
 Note that the 
\series bold
\shape italic
bounds
\series default
\shape default
 command (
\begin_inset CommandInset ref
LatexCommand vpageref
reference "subsec:cpptraj-bounds"

\end_inset

) can be very useful for determining grid dimensions.
\end_layout

\begin_layout Standard
Note that when calculating grid densities for things like solvent/ions,
 the solute of interest (about which the atomic densities are binned) should
 be rms fit, centered and imaged prior to the 
\family sans
\series bold
\shape italic
grid
\family default
\series default
\shape default
 call in order to provide any meaningful representation of the density.
 If the optional keyword 
\family typewriter
\series bold
negative
\family default
\series default
 is also specified, then these density will be stored as negative numbers.
 Output can be in the XPLOR or OpenDX data formats.
\end_layout

\begin_layout Subsubsection*
Examples
\end_layout

\begin_layout Standard
Grid water density around a solute.
\end_layout

\begin_layout LyX-Code
trajin tz2.truncoct.nc
\end_layout

\begin_layout LyX-Code
autoimage origin
\end_layout

\begin_layout LyX-Code
rms first :1-13
\end_layout

\begin_layout LyX-Code
# Create average of solute to view with grid.
\end_layout

\begin_layout LyX-Code
average avg.mol2 :1-13 
\end_layout

\begin_layout LyX-Code
grid out.dx 20 0.5 20 0.5 20 0.5 :WAT@O 
\end_layout

\begin_layout Standard
Generate grid from bounds command.
\end_layout

\begin_layout LyX-Code
trajin tz2.ortho.nc 
\end_layout

\begin_layout LyX-Code
autoimage 
\end_layout

\begin_layout LyX-Code
rms first :1-13&!@H= mass
\end_layout

\begin_layout LyX-Code
bounds :1-13 dx .5 name MyGrid out bounds.dat 
\end_layout

\begin_layout LyX-Code
average bounds.mol2 :1-13
\end_layout

\begin_layout LyX-Code
# Save coordinates for second pass.
\end_layout

\begin_layout LyX-Code
createcrd MyCoords
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
# Grid using grid data set from bounds command.
\end_layout

\begin_layout LyX-Code
crdaction MyCoords grid bounds.xplor data MyGrid :WAT@O
\end_layout

\begin_layout Standard
Create non-orthogonal grid:
\end_layout

\begin_layout LyX-Code
trajin tz2.truncoct.nc
\end_layout

\begin_layout LyX-Code
reference ../tz2.truncoct.nc [REF]
\end_layout

\begin_layout LyX-Code
autoimage triclinic
\end_layout

\begin_layout LyX-Code
grid nonortho.dx boxref [REF] 50 50 50 :WAT@O pdb nonortho.pdb
\end_layout

\begin_layout Subsection
hbond
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-hbond"

\end_inset


\end_layout

\begin_layout LyX-Code
hbond
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
hbond
\end_layout

\end_inset

 [<dsname>] [out <filename>] [<mask>] [angle <acut>] [dist <dcut>]
\end_layout

\begin_layout LyX-Code
      [donormask <dmask> [donorhmask <dhmask>]] [acceptormask <amask>]
\end_layout

\begin_layout LyX-Code
      [avgout <filename>] [printatomnum] [nointramol] [image]
\end_layout

\begin_layout LyX-Code
      [solventdonor <sdmask>] [solventacceptor <samask>]
\end_layout

\begin_layout LyX-Code
      [solvout <filename>] [bridgeout <filename>] [bridgebyatom]
\end_layout

\begin_layout LyX-Code
      [series [uuseries <filename>] [uvseries <filename>]]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<dsname>] Data set name.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write # of solute-solute hydrogen bonds (aspect [UU]) vs time
 to this file.
 If searching for solute-solvent hydrogen bonds, write # of solute-solvent
 hydrogen bonds (aspect [UV]) and # of bridging solvent molecules (aspect
 [Bridge]), as well as the residue # of the bridging solvent and the solute
 residues being bridged with format '<solvent resnum>(<solute res1>+<solute
 res2>+...+),...' (aspect [ID]).
\end_layout

\begin_layout Description
[<mask>] Atoms to search for solute hydrogen bond donors/acceptors.
\end_layout

\begin_layout Description
[angle
\begin_inset space ~
\end_inset

<acut>] Angle cutoff for hydrogen bonds (default 135°).
 Can be disabled by specifying -1.
\end_layout

\begin_layout Description
[dist
\begin_inset space ~
\end_inset

<dcut>] Distance cutoff for hydrogen bonds (acceptor to donor heavy atom,
 default 3.0 Å).
\end_layout

\begin_layout Description
[donormask
\begin_inset space ~
\end_inset

<dmask>] Use atoms in <dmask> as solute donor heavy atoms.
 If 'donorhmask' not specified only atoms bonded to hydrogen will be considered
 donors.
\end_layout

\begin_layout Description
[donorhmask
\begin_inset space ~
\end_inset

<dhmask>] Use atoms in <dmask> as solute donor hydrogen atoms.
 Should only be specified if 'donormask' is.
 Should be a 1 to 1 correspondence between donormask and donorhmask.
\end_layout

\begin_layout Description
[acceptormask
\begin_inset space ~
\end_inset

<amask>] Use atoms in <amask> as solute acceptor atoms.
\end_layout

\begin_layout Description
[avgout
\begin_inset space ~
\end_inset

<filename>] Write solute-solute hydrogen bond averages to <filename>.
\end_layout

\begin_layout Description
[printatomnum] Add atom numbers to the output, in addtion to residue name,
 residue number and atom name.
\end_layout

\begin_layout Description
[nointramol] Ignore intramolecular hydrogen bonds.
\end_layout

\begin_layout Description
[image] Turn on imaging of distances/angles.
\end_layout

\begin_layout Description
[solventdonor
\begin_inset space ~
\end_inset

<sdmask>] Use atoms in <sdmask> as solvent donors.
 Can specify ions as well.
\end_layout

\begin_layout Description
[solventacceptor
\begin_inset space ~
\end_inset

<samask>] Use atoms in <samask> as solvent acceptors.
 Can specify ions as well.
\end_layout

\begin_layout Description
[solvout
\begin_inset space ~
\end_inset

<filename>] Write solute-solvent hydrogen bond averages to <filename>.
 If not specified and 'avgout' is, solute-solvent hydrogen bonds averages
 will be written to that file.
\end_layout

\begin_layout Description
[bridgeout
\begin_inset space ~
\end_inset

<filename>] Write information on detected solvent bridges to <filename>.
 If not specified, will be written to same place as 'solvout'.
\end_layout

\begin_layout Description
[bridgebyatom] Report bridging results by atom instead of by residue.
\end_layout

\begin_layout Description
[series] Save hydrogen bond formed (1.0) or not formed (0.0) per frame for
 any detected hydrogen bond.
 Solute-solute hydrogen bonds are saved with aspect [solutehb], solute-solvent
 hydrogen bonds are saved with aspect [solventhb].
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[uuseries
\begin_inset space ~
\end_inset

<filename>] File to write solute-solute hbond time series data to.
\end_layout

\begin_layout Description
[uvseries
\begin_inset space ~
\end_inset

<filename>] File to write solute-solvent hbond time series data to.
\end_layout

\end_deeper
\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<dsname>[UU] Number of solute-solute hydrogen bonds.
\end_layout

\begin_layout Description
<dsname>[UV] (only for 
\series bold
solventdonor
\series default
/
\series bold
solventacceptor
\series default
) Number of solute-solvent hydrogen bonds.
\end_layout

\begin_layout Description
<dsname>[Bridge] (only for 
\series bold
solventdonor
\series default
/
\series bold
solventacceptor
\series default
) Number of bridging solvent molecules.
\end_layout

\begin_layout Description
<dsname>[ID] (only for 
\series bold
solventdonor
\series default
/
\series bold
solventacceptor
\series default
) String identifying bridging solvent residues and the solute residues they
 bridge.
\end_layout

\begin_layout Description
<dsname>[solutehb] (
\series bold
series
\series default
 only) Time series for solute-solute hydrogen bonds; 1 for present, 0 for
 not present.
\end_layout

\begin_layout Description
<dsname>[solventhb] (
\series bold
series
\series default
 only) Time series for solute-solvent hydrogen bonds; 1 for present, 0 for
 not present.
\end_layout

\end_deeper
\begin_layout Standard

\shape italic
Note that 
\series bold
series
\series default
 data sets are not generated until hydrogen bonds are actually determined
 (i.e.
 
\series bold
run
\series default
 is called).
\end_layout

\begin_layout Standard
Determine hydrogen bonds in each coordinate frame using simple geometric
 criteria.
 A hydrogen bond is defined as being between an acceptor heavy atom A, a
 donor hydrogen atom H, and a donor heavy atom D.
 If the A to D distance is less than the distance cutoff and the A-H-D angle
 is greater than the angle cutoff a hydrogen bond is considered formed.
 Imaging of distances/angles is not performed by default, but can be turned
 on using the 
\series bold
image
\series default
 keyword.
\end_layout

\begin_layout Standard
Potential hydrogen bond donor/acceptor atoms are searched for as follows:
\end_layout

\begin_layout Enumerate
If just 
\series bold
<mask>
\series default
 is specified donors and acceptors will be automatically determined from
 
\series bold
<mask>
\series default
.
\end_layout

\begin_layout Enumerate
If 
\series bold
donormask
\series default
 is specified donors will be determined from 
\series bold
<dmask>
\series default
 (only atoms bonded to hydrogen will be considered valid).
 Optionally, 
\series bold
donorhmask
\series default
 can be used in conjunction with 
\series bold
donormask
\series default
 to explicitly specify the hydrogen atoms bonded to donor atoms.
 Acceptors will be automatically determined from 
\series bold
<mask>
\series default
.
\end_layout

\begin_layout Enumerate
If 
\series bold
acceptormask
\series default
 is specified acceptors will be determined from 
\series bold
<amask>
\series default
.
 Donors will be automatically determined from 
\series bold
<mask>
\series default
.
\end_layout

\begin_layout Enumerate
If both 
\series bold
acceptormask
\series default
 and 
\series bold
donormask
\series default
 are specified only 
\series bold
<amask>
\series default
 and 
\series bold
<dmask>
\series default
 will be used; no searching will occur in 
\series bold
<mask>
\series default
.
\end_layout

\begin_layout Standard
Automatic determination of hydrogen bond donors/acceptors uses the simplistic
 criterion that 
\begin_inset Quotes eld
\end_inset

hydrogen bonds are FON
\begin_inset Quotes erd
\end_inset

, i.e., hydrogens bonded to F, O, and N atoms are considered donors, and F,
 O, and N atoms are considered acceptors.
 Intra-molecular hydrogen bonds can be ignored using the 
\series bold
nointramol
\series default
 keyword.
\end_layout

\begin_layout Standard
The number of hydrogen bonds present at each frame will be determined and
 written to the file specified by 
\series bold
out
\series default
.
 If the 
\series bold
series
\series default
 keyword is specified the time series for each hydrogen bond (1 for present,
 0 for not present) will also be saved for subsequent analysis (e.g.
 with 
\series bold
\shape italic
lifetime
\series default
\shape default
, see 
\begin_inset CommandInset ref
LatexCommand vpageref
reference "subsec:cpptraj-lifetime"

\end_inset

); solute-solute hydrogen bonds will be saved to '<dataset name>[solutehb]'
 and solute-solvent hydrogen bonds will be saved to '<dataset name>[solventhb]'.
 The data set legends are set with the residues and atoms involved in the
 hydrogen bonds.
 In the case of solute to non-specific solvent hydrogen bonds, a V is used
 in place of solvent.
\end_layout

\begin_layout Standard
If 
\series bold
avgout
\series default
 is specified the average of each solute-solute hydrogen bond (sorted by
 population) formed over the course of the trajectory is printed with the
 format:
\end_layout

\begin_layout LyX-Code
Acceptor   DonorH   Donor   Frames   Frac   AvgDist   AvgAng
\end_layout

\begin_layout Standard
where 
\shape italic
Acceptor
\shape default
, 
\shape italic
DonorH
\shape default
, and 
\shape italic
Donor
\shape default
 are the residue and atom name of the atoms involved in the hydrogen bond,
 
\shape italic
Frames
\shape default
 is the number of frames the bond is present, 
\shape italic
Frac
\shape default
 is the fraction of frames the bond is present, 
\shape italic
AvgDist
\shape default
 is the average distance of the bond when present, and 
\shape italic
AvgAng
\shape default
 is the average angle of the bond when present.
 The 
\series bold
printatomnum
\series default
 keyword can be used to print atom numbers as well.
\end_layout

\begin_layout Standard
Solute to non-specific solvent hydrogen bonds can be tracked by using the
 
\series bold
solventdonor
\series default
 and/or 
\series bold
solventacceptor
\series default
 keywords.
 The number of solute-solvent hydrogen bonds and number of 
\begin_inset Quotes eld
\end_inset

bridging
\begin_inset Quotes erd
\end_inset

 solvent molecules (i.e.
 solvent that is hydrogen bonded to two or more different solute residues
 at the same time) will also be written to the file specified by 
\series bold
out
\series default
.
 These keywords can also be used to track non-specific interactions with
 ions.
 If 
\series bold
avgout
\series default
 or 
\series bold
solvavg
\series default
 is specified the average of each solute solvent hydrogen bond will be printed
 with the format:
\end_layout

\begin_layout LyX-Code
Acceptor   DonorH   Donor   Count   Frac   AvgDist   AvgAng
\end_layout

\begin_layout Standard
where 
\shape italic
Acceptor
\shape default
, 
\shape italic
DonorH
\shape default
, and 
\shape italic
Donor
\shape default
 are either the residue and atom name of the solute atoms or 
\begin_inset Quotes eld
\end_inset

SolventAcc
\begin_inset Quotes erd
\end_inset

/
\begin_inset Quotes erd
\end_inset

SolventH
\begin_inset Quotes erd
\end_inset

/
\begin_inset Quotes erd
\end_inset

SolventDnr
\begin_inset Quotes erd
\end_inset

 representing solvent, 
\shape italic
Count
\shape default
 is the total number of interactions between solute and solvent (note this
 can be greater than the total number of frames since for any given frame
 more than one solvent molecule can hydrogen bond to the same place on solute
 and vice versa), 
\shape italic
AvgDist
\shape default
 is the average distance of the bond when present, and 
\shape italic
AvgAng
\shape default
 is the average angle of the bond when present.
 If 
\series bold
avgout
\series default
 or 
\series bold
bridgeout
\series default
 is specified information on residues that were bridged by a solvent molecule
 over the course of the trajectory will be written to <bfilename> with format:
\end_layout

\begin_layout LyX-Code
Bridge Res <N0:RES0> <N1:RES1> ...
 , <X> frames.
\end_layout

\begin_layout Standard
where '<N0:RES0> ...' is a list of residues that were bridged (residue # followed
 by residue name) and <X> is the number of frames the residues were bridged.
\end_layout

\begin_layout Subsubsection*
hbond Examples
\end_layout

\begin_layout Standard
To search for all hydrogen bonds within residues 1-22, writing the number
 of hydrogen bonds per frame to 
\begin_inset Quotes eld
\end_inset

nhb.dat
\begin_inset Quotes erd
\end_inset

 and information on each hydrogen bond found to 
\begin_inset Quotes eld
\end_inset

avghb.dat
\begin_inset Quotes erd
\end_inset

:
\end_layout

\begin_layout LyX-Code
hbond :1-22 out nhb.dat avgout avghb.dat
\end_layout

\begin_layout Standard
To search for all hydrogen bonds formed between donors in residue 1 and
 acceptors in residue 2:
\end_layout

\begin_layout LyX-Code
hbond donormask :1 acceptormask :2 out nhb.dat avgout avghb.dat
\end_layout

\begin_layout Standard
To search for all intermolecular hydrogen bonds only and solute-solvent
 hydrogen bonds, saving time series data to HB:
\end_layout

\begin_layout LyX-Code
hbond HB out nhb.dat avgout solute_avg.dat 
\backslash

\end_layout

\begin_layout LyX-Code
  solventacceptor :WAT@O solventdonor :WAT 
\backslash

\end_layout

\begin_layout LyX-Code
  solvout solvent_avg.dat bridgeout bridge.dat 
\backslash

\end_layout

\begin_layout LyX-Code
  series uuseries uuhbonds.agr uvseries uvhbonds.agr
\end_layout

\begin_layout Standard
To search for non-specific hydrogen bonds between solute and ions named
 Na+:
\end_layout

\begin_layout LyX-Code
hbond HB-Ion out nhb.agr avgout ion_avg.dat 
\backslash

\end_layout

\begin_layout LyX-Code
  solventacceptor :Na+ solventdonor :Na+
\end_layout

\begin_layout Subsection
image
\end_layout

\begin_layout LyX-Code
image
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
image
\end_layout

\end_inset

 [origin] [center] [triclinic | familiar [com <commask>]] [<mask>]
\end_layout

\begin_layout LyX-Code
      [ bymol | byres | byatom ] [xoffset <x>] [yoffset <y>] [zoffset <z>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[origin] Image to coordinate origin (0.0, 0.0, 0.0); default is to image to
 box center.
\end_layout

\begin_layout Description
[center] For bymol/byres, image by center of mass; default is to image by
 first atom position.
\end_layout

\begin_layout Description
[triclinic] Force imaging with triclinic code.
 This is the default for non-orthorhombic cells.
\end_layout

\begin_layout Description
[familiar
\begin_inset space ~
\end_inset

[com
\begin_inset space ~
\end_inset

<commask>]] Image to truncated octahedron shape.
 If 'com <commask>' is given, image with respect to the center of mass of
 atoms in <commask>.
\end_layout

\begin_layout Description
[<mask>] Image atoms/residues/molecules in mask.
\end_layout

\begin_layout Description
[bymol] Image by molecule (default).
\end_layout

\begin_layout Description
[byres] Image by residue.
\end_layout

\begin_layout Description
[byatom] Image by atom.
\end_layout

\begin_layout Description
[xoffset
\begin_inset space ~
\end_inset

<x>] Shift atoms by a factor of <x> in the X-direction.
\end_layout

\begin_layout Description
[yoffset
\begin_inset space ~
\end_inset

<y>] Shift atoms by a factor of <y> in the Y-direction.
\end_layout

\begin_layout Description
[zoffset
\begin_inset space ~
\end_inset

<z>] Shift atoms by a factor of <z> in the Z-direction.
\end_layout

\end_deeper
\begin_layout Standard
Note this command is intended for advanced use; for most cases the 
\series bold
\shape italic
autoimage
\series default
\shape default
 command should be sufficient.
\end_layout

\begin_layout Standard
For periodic systems only, image molecules/residues/atoms that are outside
 of the box back into the box.
 Currently both orthorhombic and non-orthorhombic boxes are supported.
 A typical use of 
\series bold
\shape italic
image
\series default
\shape default
 is to move molecules back into the box after performing 
\series bold
\shape italic
center
\series default
\shape default
.
 For example, the following commands move all atoms so that the center of
 residue 1 is at the center of the box, then image so that all molecules
 that are outside the box after centering are wrapped back inside:
\end_layout

\begin_layout LyX-Code
center :1
\end_layout

\begin_layout LyX-Code
image
\end_layout

\begin_layout Standard
The xoffset etc.
 keywords can be used to shift the entire unit cell in a certain direction
 by the given factor, which can be useful for visualizing trajectories with
 periodic boundary conditions.
 For example, to generate a trajectory that is offset by 1.0 box length in
 the X direction, one could use:
\end_layout

\begin_layout LyX-Code
image xoffset 1.0
\end_layout

\begin_layout LyX-Code
trajout traj.offsetx1.nc
\end_layout

\begin_layout Subsection
jcoupling
\end_layout

\begin_layout LyX-Code
jcoupling
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
jcoupling
\end_layout

\end_inset

 <mask> [outfile <filename>] [kfile <param file>] [out <filename>]
\end_layout

\begin_layout LyX-Code
          [name <dsname>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<mask> Atom mask in which to search for dihedrals within.
\end_layout

\begin_layout Description
[outfile
\begin_inset space ~
\end_inset

<filename>] File to write j-coupling values to with fixed format.
\end_layout

\begin_layout Description
[kfile
\begin_inset space ~
\end_inset

<param
\begin_inset space ~
\end_inset

file>] File containing Karplus parameters.
 If not specified will check CPPTRAJHOME, AMBERHOME, and KARPLUS environment
 variables (see below).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write data set output to.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<dsname>] Data set name.
\end_layout

\end_deeper
\begin_layout Standard

\shape italic
Note data sets are not generated until 
\series bold
run
\series default
 is called.
\end_layout

\begin_layout Standard
Calculate J-coupling values for all dihedrals found within 
\series bold
<mask>
\series default
 (all atoms if no mask given).
 In order to use this function, Karplus parameters for all dihedrals which
 will be calculated must be loaded.
 By default 
\shape italic
cpptraj
\shape default
 will use the data found in either $CPPTRAJHOME/dat/Karplus.txt or $AMBERHOME/dat
/Karplus.txt; if this is not found 
\shape italic
cpptraj
\shape default
 will look for the file specified by the $KARPLUS environment variable.
 
\end_layout

\begin_layout Standard
In the Karplus parameter file each parameter set consists of two lines for
 each dihedral with the format:
\end_layout

\begin_layout LyX-Code
[<Type>]<Name1><Name2><Name3><Name4><A><B><C>[<D>]
\end_layout

\begin_layout LyX-Code
<Resname1>[<Resname2>...]
\end_layout

\begin_layout Standard
The first line defines the parameter set for a dihedral.
 <Type> is optional; if not given the form for calculating the J-coupling
 will be as described by Chou et al.
\begin_inset CommandInset citation
LatexCommand citep
key "Chou03"
literal "true"

\end_inset

; if 'C' the form will be as described by Perez et al.
\begin_inset CommandInset citation
LatexCommand citep
key "Perez01"
literal "true"

\end_inset

.
 The <NameX> parameters define the four atoms involved in the dihedral.
 Each <NameX> parameter is 5 characters wide, starting with a plus '+',
 minus '-' or space ' ' character indicating the atom belongs to the next,
 previous, or current residue.
 The remaining 4 characters are the atom name.
 The parameters <A>, <B>, <C>, and <D> are floating point values 6 characters
 wide describing the Karplus parameters.
 For the 'C' form A, B, and C correspond to C0, C1, and C2; D is unused
 and should not be specified.
 The second line is a list of residue names (4 characters each) to which
 the dihedral applies.
 For example:
\end_layout

\begin_layout LyX-Code
C HA   CA   CB   HB    5.40 -1.37  3.61
\end_layout

\begin_layout LyX-Code
ILE VAL 
\end_layout

\begin_layout Standard
Describes a dihedral between atoms HA-CA-CB-HB using the Perez et al.
 form with constants C0=5.40, C1=-1.37, C2=3.61 applied to ILE and VAL residues.
\end_layout

\begin_layout Standard
Output can be in both a fixed format (
\series bold
outfile <filename>
\series default
) and using cpptraj data set/data file formatting (
\series bold
out <filename>
\series default
).
 The fixed format has each dihedral that is defined from 
\series bold
<mask1>
\series default
 printed along with its calculated J-coupling value for each frame, e.g.:
\end_layout

\begin_layout LyX-Code
#Frame 1 
\end_layout

\begin_layout LyX-Code
1 SER HA CA CB HB2 45.334742 4.024759 
\end_layout

\begin_layout LyX-Code
1 SER HA CA CB HB3 -69.437134 1.829510
\end_layout

\begin_layout LyX-Code
...
\end_layout

\begin_layout Standard
First the frame number is printed, then for each dihedral: Residue number,
 residue name, atom names 1-4 in the dihedral, the value of the dihedral,
 the J-coupling value.
\end_layout

\begin_layout Standard
In 
\family typewriter
\shape italic
cpptraj
\family default
\shape default
 format, only the J-coupling value is written.
\end_layout

\begin_layout Subsection
lessplit
\end_layout

\begin_layout LyX-Code
lessplit [out <filename prefix>] [average <avg filename>] <trajout args>
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename
\begin_inset space ~
\end_inset

prefix>] Write split LES trajectories to <filename prefix>.X, where X is
 an integer.
\end_layout

\begin_layout Description
[average
\begin_inset space ~
\end_inset

<avg
\begin_inset space ~
\end_inset

filename>] Write trajectory of averaged LES regions to <avg filename>.
\end_layout

\begin_layout Description
<trajout
\begin_inset space ~
\end_inset

args> Arguments for output trajectories.
\end_layout

\end_deeper
\begin_layout Standard
Split and/or average LES trajectory.
 At least one of 
\series bold
'out'
\series default
 or 
\series bold
'average'
\series default
 must be specified.
 If both are specified they share <trajout args>.
\end_layout

\begin_layout Subsection
lie
\end_layout

\begin_layout LyX-Code
lie
\begin_inset Index idx
status open

\begin_layout Plain Layout
lie
\end_layout

\end_inset

 [<name>] <Ligand mask> [<Surroundings mask>] [out <filename>] [nopbc]
\begin_inset Newline newline
\end_inset

    [noelec] [novdw] [cutvdw <cutoff>] [cutelec <cutoff>] [diel <dielc>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[EELEC] Electrostatic energy (kcal/mol).
\end_layout

\begin_layout Description
[EVDW] van der Waals energy (kcal/mol).
\end_layout

\end_deeper
\begin_layout Standard
For each frame, calculate the non-bonded interactions between all atoms
 in <Ligand mask> with all atoms in <Surroundings mask>.
 Electrostatic and van der Waals interactions will be calculated for all
 atom pairs.
 A separate electrostatic and van der Waals cutoff can be applied, the default
 is 12.0 Angstroms for both.
 <dielc> is an optional dielectric constant.
 Either the electrostatic or van der Waals calculations can be suppressed
 via the keywords noelec and novdw, respectively.
 Periodic boundary conditions (and the minimum image convention) can be
 abandoned with the 
\begin_inset Quotes eld
\end_inset

nopbc
\begin_inset Quotes erd
\end_inset

 keyword.
 Note, however, that no prior imaging is performed if the frames contain
 periodic boundaries.
 This may be useful for instances when you are simulating a microscopic
 droplets.
\end_layout

\begin_layout Standard
The electrostatic interactions are calculated according to a simple shifting
 function shown below.
 The data file will contain two data sets—one for electrostatic interactions
 and one for van der Waals interactions.
 Periodic topologies and trajectories are required (i.e., explicit solvent
 is necessary).
 The minimum image convention is followed.
\end_layout

\begin_layout Standard
\begin_inset Formula 
\[
E_{elec}=k\frac{q_{i}q_{j}}{r_{ij}}\left(1-\frac{r_{ij}^{2}}{r_{cut}^{2}}\right)^{2}
\]

\end_inset


\end_layout

\begin_layout Subsection
lipidorder
\end_layout

\begin_layout LyX-Code
order out <filename> [x|y|z] [scd] [unsat <mask>] 
\end_layout

\begin_layout LyX-Code
      [taildist <filename> [delta <resolution>] tailstart <mask>
\end_layout

\begin_layout LyX-Code
       tailend <mask>] <mask0> ...
 <maskN> 
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
out Output file for order parameters: Sx, Sy, Sz (each succeeded by the
 standard deviation), and two estimates for the deuterium-order parameter
 |SCD| = 0.5Sz and |SCD| = -(2Sx + Sy)/3.
 If scd is set then the order parameter directly computed from the C-H vectors
 is output.
\end_layout

\begin_layout Description
x|y|z Reference axis.
 (z) 
\end_layout

\begin_layout Description
unsat Mask for unsaturated bonds.
 Sz is calculated for vector Cn-Cn+1.
 This is only relevant if scd (below) is not set, i.e.
 order parameters are calculated from carbon position only.
 
\end_layout

\begin_layout Description
scd Calculate the deuterium-order parameter |SCD| directly from the C-H
 vectors (masks must contain C-H-H triplets, see below).
 Otherwise the order parameter is estimated from carbon positions only (masks
 must contain only relevant carbons).
 (false) 
\end_layout

\begin_layout Description
taildist Optional output file for end-to-end distances.
 
\end_layout

\begin_layout Description
delta Optional resolution for taildist.
 (0.1) 
\end_layout

\begin_layout Description
tailstart Mask for the start of the tail.
 Must be given if taildist.
 
\end_layout

\begin_layout Description
tailend Mask for the end of the tail.
 Must be given if taildist.
 
\end_layout

\begin_layout Description
mask0 ...
 maskN Masks for each group in the lipid chain.
\end_layout

\end_deeper
\begin_layout Standard
The order parameters 
\begin_inset Formula $S_{x}$
\end_inset

, 
\begin_inset Formula $S_{y}$
\end_inset

, 
\begin_inset Formula $S_{z}$
\end_inset

 and |SCD| are calculated.
 Carbons must be given in bonding order.
 If 
\series bold
scd
\series default
 the masks must be made up of C-H-H triples, hence hydrogens to double bonds
 must be enumerated twice while methyl groups require an additional mask
 which will also create two entries in the output.
\end_layout

\begin_layout Standard
\begin_inset Formula $S_{z}$
\end_inset

is the vector joining carbons 
\begin_inset Formula $C_{n-1}$
\end_inset

 and 
\begin_inset Formula $C_{n+1}$
\end_inset

, 
\begin_inset Formula $S_{x}$
\end_inset

 the vector normal to the 
\begin_inset Formula $C_{n-1}-C_{n}$
\end_inset

 and 
\begin_inset Formula $C_{n}-C_{n+1}$
\end_inset

 plane and 
\begin_inset Formula $S_{y}$
\end_inset

 is the third axis in the molecular coordinate system.
 The order parameter is then calculated from 
\begin_inset Formula $Sc=0.5<3\cos(2\theta)>-1$
\end_inset

, where 
\begin_inset Formula $\theta$
\end_inset

 is the angle to the chosen reference axis.
 See example input file.
\end_layout

\begin_layout Standard
Example input (all atom names according to CHARMM27 force field for POPC).
 
\end_layout

\begin_layout Standard
sn1 chain: order parameters 
\begin_inset Formula $S_{x}$
\end_inset

, 
\begin_inset Formula $S_{y}$
\end_inset

, 
\begin_inset Formula $S_{z}$
\end_inset

 and 
\begin_inset Formula $|SCD|=0.5\times S_{z}$
\end_inset

 and 
\begin_inset Formula $|SCD|=-(2S_{x}+S_{y})/3$
\end_inset


\end_layout

\begin_layout LyX-Code
lipidorder out sn1.dat z taildist e2e_sn1.dat delta 0.1 
\backslash

\end_layout

\begin_layout LyX-Code
           tailstart ":POPC@C32" tailend ":POPC@C316" 
\backslash

\end_layout

\begin_layout LyX-Code
           ":POPC@C32" ":POPC@C33" ":POPC@C34" ":POPC@C35" 
\backslash

\end_layout

\begin_layout LyX-Code
           ":POPC@C36" ":POPC@C37" ":POPC@C38" ":POPC@C39" 
\backslash

\end_layout

\begin_layout LyX-Code
           ":POPC@C310" ":POPC@C311" ":POPC@C312" ":POPC@C313" 
\backslash

\end_layout

\begin_layout LyX-Code
           ":POPC@C314" ":POPC@C315" ":POPC@C316"
\end_layout

\begin_layout Standard
See also 
\family typewriter
$AMBERHOME/AmberTools/test/cpptraj/Test_LipidOrder
\family default
.
\end_layout

\begin_layout Subsection
lipidscd
\end_layout

\begin_layout LyX-Code
lipidscd [<name>] [<mask>] [{x|y|z}] [out <file>] [p2]
\end_layout

\begin_deeper
\begin_layout Description
<name> Output data set name.
\end_layout

\begin_layout Description
<mask> Atom mask specifying where to search for lipids.
\end_layout

\begin_layout Description
x|y|z Axis to calculate order parameters with respect to (default z).
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<file> File to write order parameters to.
\end_layout

\begin_layout Description
p2 If specified, report raw <P2> values.
\end_layout

\begin_layout Standard
DataSets Generated:
\end_layout

\begin_layout Description
<name>[H1]:<idx> Hold lipid order parameters for each C-H1.
 Each lipid type will have a different <idx> starting from 0.
\end_layout

\begin_layout Description
<name>[H2]:<idx> Hold lipid order parameters for each C-H2.
 If no H2, the C-H1 value will be used.
\end_layout

\begin_layout Description
<name>[H3]:<idx> Hold lipid order parameters for each C-H3.
 If no H3, the C-H2/C-H1 value will be used.
\end_layout

\begin_layout Description
<name>[SDHX]:<idx> Hold standard deviation of lipid order parameters for
 each C-HX.
\end_layout

\end_deeper
\begin_layout Standard
Calculate lipid order parameters SCD (|<P2>|) for lipid chains in mask 
  <mask>.
 Lipid chains are identified by carboxyl groups, i.e.
   O-(C=O)-C1-...-CN, where C1 is the first carbon in the acyl chain   and
 CN is the last.
 Order parameters will be determined for each   hydrogen bonded to each
 carbon.
 If 'p2' is specified the raw <P2>   values will be reported.
\end_layout

\begin_layout Subsection
makestructure
\end_layout

\begin_layout LyX-Code
makestructure <List of Args>
\end_layout

\begin_layout Standard
Apply dihedrals to specified residues using arguments found in <List of
 Args>, where an argument is 1 or more of the following arg types: 
\end_layout

\begin_layout Subsubsection*
<sstype keyword>:<res
\begin_inset space ~
\end_inset

range>
\end_layout

\begin_layout Standard
Apply secondary structure type (via phi/psi backbone angles) to residues
 in given range.
 If the secondary structure type is a turn, the residue range must correspond
 to a multiple of 2 residues.
\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="14" columns="3">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Keyword
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
phi, psi (deg.)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
# residues
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
alpha
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-57.8, -47.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
left
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-57.8, 47.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pp2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-75.0, 145.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
hairpin
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-100.0, 130.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
extended
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-150.0, 155.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
typeI
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-60.0, -30.0 | -90.0, 0.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
typeII
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-60.0, 120.0 | 80.0, 0.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
typeVIII
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-60.0, -30.0 | -120.0, 120.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
typeI'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
60.0, 30.0 | 90.0, 0.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
typeII
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
60.0, -120.0 | -80.0, 0.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
typeVIa1
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-60.0, 120.0 | -90.0, 0.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
typeVIa2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-120.0, 120.0 | -60.0, 0.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
typeVIb
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-135.0, 135.0 | -75.0, 160.0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsubsection*
<custom
\begin_inset space ~
\end_inset

ss
\begin_inset space ~
\end_inset

name>:<res
\begin_inset space ~
\end_inset

range>[:<phi>:<psi>]
\end_layout

\begin_layout Standard
If <phi> and <psi> are given, define a custom secondary structure conformation
 named <custom_ss> and apply to residues in range.
 If <custom_ss> has been previously defined then apply it to residues in
 range.
\end_layout

\begin_layout Subsubsection*
<custom
\begin_inset space ~
\end_inset

turn
\begin_inset space ~
\end_inset

name>:<res
\begin_inset space ~
\end_inset

range>[:<phi1>:<psi1>:<phi2>:<psi2>]
\end_layout

\begin_layout Standard
If <phi1>, <psi1>, <phi2>, and <psi2> are given, defined a custom turn conformat
ion named <custom_turn> and apply to residues in range (range must correspond
 to a multiple of 2 residues).
 If <custom_turn> has been previously defined then apply it to residues
 in range.
\end_layout

\begin_layout Subsubsection*
<custom
\begin_inset space ~
\end_inset

dih
\begin_inset space ~
\end_inset

name>:<res
\begin_inset space ~
\end_inset

range>[:<dih
\begin_inset space ~
\end_inset

type>:<angle>]
\end_layout

\begin_layout LyX-Code
<dih type> = alpha beta gamma delta epsilon zeta nu0 nu1 nu2 nu3 nu4 
\end_layout

\begin_layout LyX-Code
             h1p c2p chin phi psi chip omega chi2 chi3 chi4 chi5
\end_layout

\begin_layout Standard
If <dih type> and <angle> are given, apply <angle> to selected dihedrals
 of type in range.
 If <custom dih> has been previously defined then apply it to residues in
 range.
\end_layout

\begin_layout Subsubsection*
<custom
\begin_inset space ~
\end_inset

dih
\begin_inset space ~
\end_inset

name>:<res
\begin_inset space ~
\end_inset

range>[:<at0>:<at1>:<at2>:<at3>:<angle>[:<offset>]]
\end_layout

\begin_layout Standard
Apply <angle> to dihedral defined by atoms <at1>, <at2>, <at3>, and <at4>,
 or use previously defined <custom_dih>.
\end_layout

\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
<offset>
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Description
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
<at0> and <at1> in previous residue.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
-1
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
<at0> in previous residue.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
All atoms in single residue.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
<at3> in next residue.
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
<at2> and <at3> in next residue.
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsubsection*
ref:<range>:<refname>[:<ref
\begin_inset space ~
\end_inset

range>[:<dih types>]] [refvalsout <file>] [founddihout <file>]
\end_layout

\begin_layout Standard
Apply dihedrals from residues <ref_range> in previously loaded reference
 structure <refname> to dihedrals in <range>.
 If <ref range> is specified, use those residues from reference.
 The dihedral types to be used (see 
\series bold
<dih_type>
\series default
 above) can be specified in a comma-separated list; default is phi/psi.
 Note that in order to specify <dih types>, <ref range> must be specified.
 The 'refvalsout' and 'founddihout' keywords can be used to print dihedrals
 found in the reference and target structures respectively to files.
\end_layout

\begin_layout Subsubsection*
Examples
\end_layout

\begin_layout Standard
Assign polyproline II structure to residues 1 through 13:
\end_layout

\begin_layout LyX-Code
makestructure pp2:1-13
\end_layout

\begin_layout Standard
Make residues 1 and 12 'extended', residues 6 and 7 a type I' turn, and
 two custom assignments, one (custom1) for residues 2-5, the other (custom2)
 for residues 8-11:
\end_layout

\begin_layout LyX-Code
makestructure extended:1,12 
\backslash

\end_layout

\begin_layout LyX-Code
              custom1:2-5:-80.0:130.0:-130.0:140.0 
\backslash

\end_layout

\begin_layout LyX-Code
              typeI':6-7 
\backslash

\end_layout

\begin_layout LyX-Code
              custom2:8-11:-140.0:170.0:-100.0:140.0
\end_layout

\begin_layout Standard
Assign residue 5 phi 90 degrees, residues 6 and 7 phi=-70 and psi=60 degrees:
\end_layout

\begin_layout LyX-Code
makestructure customdih:5:phi:90 custom:6,7:-70:60
\end_layout

\begin_layout Standard
Create a new dihedral named chi1 and assign it a value of 35 degrees in
 residue 8:
\end_layout

\begin_layout LyX-Code
makestructure chi1:8:N:CA:CB:CG:35
\end_layout

\begin_layout Standard
Assign 'extended' structure to residues 1 and 12, a custom turn to residues
 2-5 and 8-11, and a typeI' turn to residues 6-7:
\end_layout

\begin_layout LyX-Code
makestructure extended:1,12 
\backslash

\end_layout

\begin_layout LyX-Code
              custom1:2-5:-80.0:130.0:-130.0:140.0 
\backslash

\end_layout

\begin_layout LyX-Code
              typeI’:6-7 
\backslash

\end_layout

\begin_layout LyX-Code
              custom1:8-11
\end_layout

\begin_layout Standard
Assign secondary structure from reference structure:
\end_layout

\begin_layout LyX-Code
parm ../tz2.parm7
\end_layout

\begin_layout LyX-Code
reference ../tz2.rst7
\end_layout

\begin_layout LyX-Code
trajin pp2.rst7.save
\end_layout

\begin_layout LyX-Code
makestructure "ref:1-13:tz2.rst7" rmsd reference
\end_layout

\begin_layout LyX-Code
trajout fromref.pdb multi 
\end_layout

\begin_layout Subsection
mask
\end_layout

\begin_layout LyX-Code
mask
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
mask
\end_layout

\end_inset

 <mask> [maskout <filename>] [out <filename>] [nselectedout <filename>]
\end_layout

\begin_layout LyX-Code
     [name <setname>] [ {maskpdb <filename> | maskmol2 <filename>}
\end_layout

\begin_layout LyX-Code
                        [trajargs <comma-separated args>] ]
\end_layout

\begin_deeper
\begin_layout Description
<mask> Atom mask to process.
\end_layout

\begin_layout Description
maskout
\begin_inset space ~
\end_inset

<filename> Write information on atoms in <mask> to <filename>.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<filename> Write the frame, atom number, atom name, residue number, residue
 name, and molecule number for each selected atom to file.
\end_layout

\begin_layout Description
nselectedout
\begin_inset space ~
\end_inset

<filename> Write the total number of selected atoms to file.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<setname> Name for output data sets.
\end_layout

\begin_layout Description
maskpdb
\begin_inset space ~
\end_inset

<filename> Write PDB of atoms in <mask> to <name>.X.
\end_layout

\begin_layout Description
maskmol2
\begin_inset space ~
\end_inset

<filename> Write Mol2 of atoms in <mask> to <name>.X.
\end_layout

\begin_layout Description
trajargs
\begin_inset space ~
\end_inset

<comma-separated
\begin_inset space ~
\end_inset

args> When writing output PDB/Mol2, additional trajectory arguments to pass
 to the output trajectory.
\end_layout

\begin_layout Standard
DataSets Created
\end_layout

\begin_layout Description
<name> Number of atoms selected each frame.
\end_layout

\begin_layout Description
<name>[Frm] Frame number for each selected atom.
\end_layout

\begin_layout Description
<name>[AtNum] Atom number for each selected atom.
\end_layout

\begin_layout Description
<name>[Aname] Atom name for each selected atom.
\end_layout

\begin_layout Description
<name>[Rnum] Residue number for each selected atom.
\end_layout

\begin_layout Description
<name>[Rname] Residue name for each selected atom.
\end_layout

\begin_layout Description
<name>[Mnum] Molecule number for each selected atom.
\end_layout

\end_deeper
\begin_layout Standard
For each frame determine all atoms that correspond to 
\series bold
<mask>
\series default
.
 This is most useful when using distance-based masks, since the atoms in
 the mask are updated for every frame read in.
 If 
\series bold
maskout
\series default
 is specified information on all atoms in <mask> will be written to <filename>
 with format:
\end_layout

\begin_layout LyX-Code
#Frame AtomNum Atom ResNum Res MolNum
\end_layout

\begin_layout Standard
where 
\family typewriter
#Frame
\family default
 is the frame number, 
\family typewriter
AtomNum
\family default
 is the number of the selected atom, 
\family typewriter
Atom
\family default
 is the name of the selected atom, 
\family typewriter
ResNum
\family default
 is the residue number of the selected atom, 
\family typewriter
Res
\family default
 is the residue name, and 
\family typewriter
MolNum
\family default
 is the molecule number of the selected atom.
\end_layout

\begin_layout Standard
If 
\series bold
maskpdb
\series default
 or 
\series bold
maskmol2
\series default
 are specified a PDB/Mol2 file corresponding to <mask> will be written out
 every frame with name 
\begin_inset Quotes eld
\end_inset


\shape italic
<name>.frame#
\shape default

\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Standard
For example, to write out all residues within 3.0 Angstroms of residue 195
 that are named WAT to 
\begin_inset Quotes eld
\end_inset

Res195WAT.dat
\begin_inset Quotes erd
\end_inset

, as well as write out corresponding PDB files:
\end_layout

\begin_layout LyX-Code
mask 
\begin_inset Quotes eld
\end_inset

(:195<:3.0)&:WAT
\begin_inset Quotes erd
\end_inset

 maskout Res195WAT.dat maskpdb Res195WAT.pdb
\end_layout

\begin_layout Standard
To write all out atoms outside of 5.0 Angstroms of residues named ARG to
 PDB files with a chain ID of 'B':
\end_layout

\begin_layout LyX-Code
mask :ARG>@5.0 maskpdb Outside5Arg.pdb trajargs 
\begin_inset Quotes eld
\end_inset

chainid 'B'
\begin_inset Quotes erd
\end_inset


\end_layout

\begin_layout Subsection
matrix
\end_layout

\begin_layout LyX-Code
matrix [out <filename>] [start <#>] [stop|end <#>] [offset <#>]
\end_layout

\begin_layout LyX-Code
       [name <name>] [ byatom | byres [mass] | bymask [mass] ]
\end_layout

\begin_layout LyX-Code
       [ ired [order <#>] ]
\end_layout

\begin_layout LyX-Code
       [ {distcovar | idea} <mask1> ]
\end_layout

\begin_layout LyX-Code
       [ {dist | correl | covar | mwcovar} <mask1> [<mask2>] ]
\end_layout

\begin_layout LyX-Code
       [ dihcovar dihedrals <dataset arg> ]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<filename>]
\series default
 If specified, write matrix to <filename>.
\end_layout

\begin_layout Description

\series bold
[start
\begin_inset space ~
\end_inset

<#>]
\begin_inset space ~
\end_inset

[stop|end
\begin_inset space ~
\end_inset

<#>]
\begin_inset space ~
\end_inset

[offset
\begin_inset space ~
\end_inset

<#>]
\series default
 Start, stop, and offset frames to use (as a subset of all frames read in).
\end_layout

\begin_layout Description

\series bold
[name
\begin_inset space ~
\end_inset

<name>]
\series default
 Name of the matrix dataset (for referral in subsequent analysis).
\end_layout

\begin_layout Description

\series bold
byatom
\series default
 Write results by atom (default).
 This is the sole option for 
\family typewriter
covar
\family default
, 
\family typewriter
mwcovar
\family default
, and 
\family typewriter
ired
\family default
.
\end_layout

\begin_layout Description

\series bold
byres
\series default
 Write results by calculating an average for each residue (mass weighted
 if 
\series bold
mass
\series default
 is specified).
\end_layout

\begin_layout Description

\series bold
bymask
\series default
 Write average over <mask1>, and if <mask2> is specified <mask1> x <mask2>
 and <mask2> as well (mass weighted if 
\series bold
mass
\series default
 is specified).
\end_layout

\end_deeper
\begin_layout Standard
Calculate matrix of the specified type from input coordinate frames:
\end_layout

\begin_layout Description
dist
\begin_inset space ~
\end_inset

<mask1>
\begin_inset space ~
\end_inset

[<mask2>] Distance matrix (default).
\end_layout

\begin_layout Description
correl
\begin_inset space ~
\end_inset

<mask1>
\begin_inset space ~
\end_inset

[<mask2>] Correlation matrix (aka dynamic cross correlation
\begin_inset CommandInset citation
LatexCommand citep
key "Hunenberger1995"
literal "true"

\end_inset

).
\end_layout

\begin_layout Description
covar
\begin_inset space ~
\end_inset

<mask1>
\begin_inset space ~
\end_inset

[<mask2>] Coordinate covariance matrix.
 
\end_layout

\begin_layout Description
mwcovar
\begin_inset space ~
\end_inset

<mask1>
\begin_inset space ~
\end_inset

[<mask2>] Mass-weighted coordinate covariance matrix.
\end_layout

\begin_layout Description
distcovar
\begin_inset space ~
\end_inset

<mask1> Distance covariance matrix.
\end_layout

\begin_layout Description
idea
\begin_inset space ~
\end_inset

<mask1> Isotropically Distributed Ensemble Analysis matrix.
\begin_inset CommandInset citation
LatexCommand citep
key "Prompers02"
literal "true"

\end_inset


\end_layout

\begin_layout Description
ired
\begin_inset space ~
\end_inset

[order
\begin_inset space ~
\end_inset

<#>] Isotropic Reorientational Eigenmode Dynamics matrix
\begin_inset CommandInset citation
LatexCommand citep
key "Prompers02a"
literal "true"

\end_inset

 with Legendre polynomials of specified order (default 1).
 IRED vectors must have been specified previously with '
\series bold
\emph on
vector
\series default
\emph default
 
\series bold
ired
\series default
' (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-vector"

\end_inset

).
\end_layout

\begin_layout Description
dihcovar
\begin_inset space ~
\end_inset

dihedrals
\begin_inset space ~
\end_inset

<dataset
\begin_inset space ~
\end_inset

arg> Dihedral covariance matrix.
 Dihedral data sets must have been previously defined with e.g.
 
\series bold
\emph on
dihedral
\series default
\emph default
 or 
\series bold
\emph on
multidihedral
\series default
\emph default
 commands or read in externally with 
\series bold
\emph on
readdata
\series default
\emph default
 and marked as dihedrals.
\end_layout

\begin_layout Standard
Matrix dimensions will be of the order of N x M for 
\series bold
dist
\series default
, 
\series bold
correl
\series default
, 
\series bold
idea
\series default
, and 
\series bold
ired
\series default
, 2N x 2N for 
\series bold
dihcovar
\series default
, 3N x 3M for 
\series bold
covar
\series default
 and 
\series bold
mwcovar
\series default
, and N(N-1) x N(N-1) / 4 for 
\series bold
distcovar
\series default
 (with N being the number of data sets in the case of 
\series bold
ired
\series default
 and 
\series bold
dihcovar
\series default
 and the number of atoms in 
\series bold
\shape italic
\emph on
<mask1>
\series default
\shape default
\emph default
 otherwise, and M being the number of atoms in 
\series bold
<mask2>
\series default
 if specified or 
\series bold
\shape italic
\emph on
<mask1>
\series default
\shape default
\emph default
 otherwise).
 No mask is required for 
\series bold
ired
\series default
; the matrix will be made up of previously defined IRED vectors (see the
 
\series bold
\shape italic
vector
\series default
\shape default
 command 
\begin_inset CommandInset ref
LatexCommand vpageref
reference "subsec:cpptraj-vector"

\end_inset

).
 Similarly no mask is required for dihcovar; dihedral data sets must have
 been previously defined.
 Only one mask can be used with 
\series bold
distcovar
\series default
 and 
\series bold
idea
\series default
 matrices (i.e.
 they can be symmetric only), otherwise one or two masks can be used (for
 symmetric and full matrices respectively).
 If two masks are specified the number of atoms covered by 
\shape italic
mask1
\shape default
 must be greater than or equal to the number of atoms covered by 
\shape italic
mask2,
\shape default
 and on output 
\series bold
<mask1>
\series default
\shape italic
 
\shape default
corresponds to columns while 
\series bold
<mask2>
\series default
 corresponds to rows.
\end_layout

\begin_layout Standard
Note that for backwards compatibility, output files written with '
\series bold
out <filename>
\series default
' will have the options '
\series bold
noheader noxcol square2d
\series default
' applied to them (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:Datafile-Commands"
plural "false"
caps "false"
noprefix "false"

\end_inset

 for more details).
 To prevent any of these from taking effect, simply specify '
\series bold
header
\series default
', '
\series bold
xcol
\series default
', and/or '
\series bold
nosquare2d
\series default
' after '
\series bold
out <filename>
\series default
'.
\end_layout

\begin_layout Standard
As a simple example, a distance matrix of all CA atoms is generated and
 output to 'distmat.dat'.
\end_layout

\begin_layout LyX-Code
matrix dist @CA out distmat.dat
\end_layout

\begin_layout Subsection
mindist
\end_layout

\begin_layout Standard
This functionality is now part of the 
\series bold
\emph on
nativecontacts
\series default
\emph default
 command; see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-nativecontacts"

\end_inset

.
\end_layout

\begin_layout Subsection
minimage
\end_layout

\begin_layout LyX-Code
minimage [<name>] <mask1> <mask2> [out <filename>] [geom] [maskcenter]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<name> Data set name.
\end_layout

\begin_layout Description
<mask1> First atom mask.
\end_layout

\begin_layout Description
<mask2> Second atom mask.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<filename> File to write to.
\end_layout

\begin_layout Description
geom (
\series bold
maskcenter
\series default
 only) If specified, use geometric center instead of center of mass.
\end_layout

\begin_layout Description
maskcenter Calculate distance from center of masks instead of between each
 atom.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<name> Minimum distance to an image in Ang.
\end_layout

\begin_layout Description
<name>[A1] Atom number in mask 1 involved in minimum distance.
\end_layout

\begin_layout Description
<name>[A2] Atom number in mask 2 involved in minimum distance.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the shortest distance to an image, i.e.
 the distance to a neighboring unit cell, as well as the numbers of the
 atoms involved in the distance.
 By default the distance between each atom in <mask1> and <mask2> is considered;
 if 
\series bold
maskcenter
\series default
 is specified the center of the masks is used.
 By convention, the lower atom number is saved as A1 and the higher is saved
 as A2.
\end_layout

\begin_layout Subsection
molsurf
\end_layout

\begin_layout LyX-Code
molsurf
\begin_inset Index idx
status open

\begin_layout Plain Layout
molsurf
\end_layout

\end_inset

 [<name>] [<mask>] [out filename] [probe <probe_rad>]
\end_layout

\begin_layout LyX-Code
    	[radii {gb | parse | vdw}] [offset <rad_offset>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Name of surface area data set.
\end_layout

\begin_layout Description
[<mask>] Atoms to calculate surface area of.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write values to.
\end_layout

\begin_layout Description
[probe
\begin_inset space ~
\end_inset

<probe_rad>] Probe radius (default 1.4 Angstrom).
\end_layout

\begin_layout Description
[offset
\begin_inset space ~
\end_inset

<rad_offset>] Add <rad_offset> to each atom radius (default 0.0).
\end_layout

\begin_layout Description
[radii
\begin_inset space ~
\end_inset

{gb|parse|vdw}] Specify radii to use:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
gb GB radii (default).
\end_layout

\begin_layout Description
parse PARSE radii.
\end_layout

\begin_layout Description
vdw van der Waals radii.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Calculate the Connolly surface area
\begin_inset CommandInset citation
LatexCommand citep
key "Connolly83"
literal "true"

\end_inset

 of atoms in <mask> (default all atoms if no mask specified) using routines
 from molsurf (originally developed by Paul Beroza) using the probe radius
 specified by 
\series bold
probe
\series default
 (1.4 Å if not specified).
 Note that if GB/VDW radii are not present in the topology file (e.g.
 for PDB files), then PARSE
\begin_inset CommandInset citation
LatexCommand citep
key "Sitkoff94"
literal "true"

\end_inset

 radii can be used.
 Also note that this routine only calculate absolute surface areas, i.e.
 it cannot be used to get the contribution of a subset of atoms to overall
 surface area; if such functionality is needed try the 
\series bold
\emph on
surf
\series default
\emph default
 command (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_surf"

\end_inset

).
\end_layout

\begin_layout Subsection
multidihedral
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_multidihedral"

\end_inset


\end_layout

\begin_layout LyX-Code
multidihedral [<name>] <dihedral types> [resrange <range>] [out <filename>]
 [range360]
\end_layout

\begin_layout LyX-Code
              [dihtype <name>:<a0>:<a1>:<a2>:<a3>[:<offset>] ...]
\end_layout

\begin_layout LyX-Code
                  Offset -2=<at0><at1> in previous res, -1=<at0> in previous
 res,
\end_layout

\begin_layout LyX-Code
                          0=All <atX> in single res,
\end_layout

\begin_layout LyX-Code
                          1=<at3> in next res, 2=<at2><at3> in next res.
\end_layout

\begin_layout LyX-Code
              <dihedral types> =  alpha beta gamma delta epsilon zeta 
\end_layout

\begin_layout LyX-Code
                                  nu0 nu1 nu2 nu3 nu4 h1p c2p chin 
\end_layout

\begin_layout LyX-Code
                                  phi psi chip omega chi2 chi3 chi4 chi5
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Output data set name.
\end_layout

\begin_layout Description
<dihedral
\begin_inset space ~
\end_inset

types> Dihedral types to look for.
 Note that chip is 'protein chi', chin is 'nucleic chi'.
\end_layout

\begin_layout Description
[resrange
\begin_inset space ~
\end_inset

<range>] Residue range to look for dihedrals in.
 Default is all solute residues.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file name.
\end_layout

\begin_layout Description
[range360] Wrap torsion values from 0.0 to 360.0 (default is -180.0 to 180.0).
\end_layout

\begin_layout Description
[dihtype
\begin_inset space ~
\end_inset

<name>:<a0>:<a1>:<a2>:<a3>[:<offset>] Search for a custom dihedral type
 called <name> using atom names <a0>, <a1>, <a2>, and <a3>.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Standard
Offset: -2=<a0><a1> in previous res, -1=<a0> in previous res, 0=All <aX>
 in single res, 1=<a3> in next res, 2=<a2><a3> in next res.
\end_layout

\end_deeper
\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[<dihedral
\begin_inset space ~
\end_inset

type>]:<#> Aspect corresponds to the dihedral type name (e.g.
 [phi], [psi], etc).
 The index is the residue number.
\end_layout

\end_deeper
\begin_layout Standard

\shape italic
Note data sets are not generated until 
\series bold
run
\series default
 is called.
\end_layout

\begin_layout Standard
Calculate specified dihedral angle types for residues in given range.
 By default, dihedral angles are identified based on standard Amber atom
 names.
 The resulting data sets will have aspect equal to [<dihedral type>] and
 index equal to residue #.
 To differentiate the chi angle, chip is used for proteins and chin for
 nucleic acids.
 For example, to calculate all phi/psi dihedrals for residues 6 to 9:
\end_layout

\begin_layout LyX-Code
multidihedral MyTorsions phi psi resrange 6-9 out PhiPsi_6-9.dat
\end_layout

\begin_layout Standard
This will generate data sets named MyTorsions[phi]:6, MyTorsions[psi]:6,
 MyTorsions[phi]:7, etc.
 Dihedrals other than those defined in 
\series bold
<dihedral types>
\series default
 can be searched for using 
\series bold
dihtype
\series default
.
 For example to create a custom dihedral type called chi1 using atoms N,
 CA, CB, and CG (all in the same residue), then search for and calculate
 the dihedral in all residues:
\end_layout

\begin_layout LyX-Code
multidihedral dihtype chi1:N:CA:CB:CG out custom.dat
\end_layout

\begin_layout Subsection
multivector
\end_layout

\begin_layout LyX-Code
multivector [<name>] [resrange <range>] name1 <name1> name2 <name2> [out
 <filename>]
\end_layout

\begin_layout LyX-Code
            [ired]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Data set name.
\end_layout

\begin_layout Description
[resrange
\begin_inset space ~
\end_inset

<range>] Range of residues to look for vectors in.
\end_layout

\begin_layout Description
name1
\begin_inset space ~
\end_inset

<name1> Name of first atom in each residue.
\end_layout

\begin_layout Description
name2
\begin_inset space ~
\end_inset

<name2> Name of second atom in each residue.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write results to.
\end_layout

\end_deeper
\begin_layout Standard
Search for and calculate atomic vectors between atoms named <name1> and
 <name2> in residues specified by the given <range>; each one is equivalent
 to the command '
\family typewriter
\series bold
vector
\series default
 <name1> <name2>
\family default
'.
 For example, to calculate all vectors between atoms named 'N' and atoms
 named 'H' in residues 5-20, storing the results in data sets named NH and
 writing to NH.dat:
\end_layout

\begin_layout LyX-Code
multivector NH name1 N name2 H ired out NH.dat resrange 5-20
\end_layout

\begin_layout Subsection
nastruct
\end_layout

\begin_layout LyX-Code
nastruct
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
nastruct
\end_layout

\end_inset

 [<dataset name>] [resrange <range>] [sscalc] [naout <suffix>]
\end_layout

\begin_layout LyX-Code
     	[noheader] [resmap <ResName>:{A,C,G,T,U} ...] [calcnohb]
\end_layout

\begin_layout LyX-Code
         [noframespaces] [baseref <file>] ...
\end_layout

\begin_layout LyX-Code
     	[hbcut <hbcut>] [origincut <origincut>] [altona | cremer]
\end_layout

\begin_layout LyX-Code
     	[zcut <zcut>] [zanglecut <zanglecut>] [groovecalc {simple | 3dna}]
\end_layout

\begin_layout LyX-Code
     	[{ first | reference | ref <name> | refindex <#> | allframes | guessbp}]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
         [bptype {anti | para} ...]
\end_layout

\begin_deeper
\begin_layout Description
[<dataset
\begin_inset space ~
\end_inset

name>] Output data set name.
\end_layout

\begin_layout Description
[resrange
\begin_inset space ~
\end_inset

<range>] Residue range to search for nucleic acids in (default all).
\end_layout

\begin_layout Description
[sscalc] Calculate parameters between consectuive bases in strands.
\end_layout

\begin_layout Description
[naout
\begin_inset space ~
\end_inset

<suffix>] File name suffix for output files; BP.<suffix> for base pair parameters
, BPstep.<suffix> for base pair step parameters, and Helix.<suffix> for base
 pair step helical parameters.
 If 
\series bold
sscalc
\series default
 is specified, also SS.<suffix> for parameters of consecutive bases in strands.
\end_layout

\begin_layout Description
[noheader] Do not print header to 
\series bold
naout
\series default
 file.
\end_layout

\begin_layout Description
[resmap
\begin_inset space ~
\end_inset

<ResName>:{A,C,G,T,U}] Attempt to treat residues named <ResName> as if it
 were A, C, G, T, or U; useful for residues with modifications or non-standard
 residue names.
 This will only work if enough reference atoms are present in <ResName>.
\end_layout

\begin_layout Description
[calcnohb] Calculate parameters between bases in base pairs even if no hydrogen
 bonds present between them.
\end_layout

\begin_layout Description
[noframespaces] If specified there will be no spaces between frames in the
 
\series bold
naout
\series default
 files.
\end_layout

\begin_layout Description
[baseref
\begin_inset space ~
\end_inset

<file>] Specify a custom nucleic acid base reference.
 One file per custom residue; multiple 'baseref' keywords may be present.
 See below for details.
\end_layout

\begin_layout Description
[hbcut
\begin_inset space ~
\end_inset

<hbcut>] Distance cutoff (in Angstroms) for determining hydrogen bonds between
 bases (default 3.5).
\end_layout

\begin_layout Description
[origincut
\begin_inset space ~
\end_inset

<origincut>] Distance cutoff (in Angstroms) between base pair axis origins
 for determining which bases are eligible for base-pairing (default 2.5).
\end_layout

\begin_layout Description
[altona] Use method of Altona & Sundaralingam to calculate sugar pucker
 (default, see 
\series bold
\shape italic
pucker
\series default
\shape default
 command).
\end_layout

\begin_layout Description
[cremer] Use method of Cremer and Pople to calculate sugar pucker (see 
\series bold
\shape italic
pucker
\series default
\shape default
 command).
\end_layout

\begin_layout Description
[zcut] Distance cutoff (in Angstroms) between base reference axes along
 the Z axis (i.e.
 stagger) for determining base pairing (default 2).
\end_layout

\begin_layout Description
[zanglecut] Angle cutoff (in degrees) between base reference Z axes for
 determining base pairing (default 65).
\end_layout

\begin_layout Description
[groovecalc] Groove width calculation method:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
simple Use P-P distance for major groove, O4-O4 distance for minor groove.
 Output to 'BP.<suffix>'.
\end_layout

\begin_layout Description
3dna Use groove width calculation of El Hassan and Calladine
\begin_inset CommandInset citation
LatexCommand citep
key "Hassan1998"
literal "true"

\end_inset

.
 Output to 'BPstep.<suffix>'.
\end_layout

\end_deeper
\begin_layout Description
[first] Use first frame to determine base pairing (default).
\end_layout

\begin_layout Description
[reference
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

refindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ref
\begin_inset space ~
\end_inset

<name>] Reference structure to use to determine base pairing.
\end_layout

\begin_layout Description
[allframes] If specified determine base pairing each frame.
\end_layout

\begin_layout Description
[guessbp
\begin_inset space ~
\end_inset

[bptype{anti|para}]] If specified base pairing will be determined based
 on selected NA strands.
 It is assumed that consecutive strands will be base-paired and that they
 are arranged 5' to 3'.
 The specific type of base pairing between strands can be specified with
 one or more 'bptype' arguments.
\end_layout

\begin_layout Standard
DataSets Created:
\end_layout

\begin_layout Description
<name>[pucker]:X Base X (residue number) sugar pucker.
\end_layout

\begin_layout Standard
Base pairs:
\end_layout

\begin_layout Description
<name>[shear]:X Base pair X (starting from 1) shear.
\end_layout

\begin_layout Description
<name>[stretch]:X Base pair stretch.
\end_layout

\begin_layout Description
<name>[stagger]:X Base pair stagger.
\end_layout

\begin_layout Description
<name>[buckle]:X Base pair buckle.
\end_layout

\begin_layout Description
<name>[prop]:X Base pair propeller.
\end_layout

\begin_layout Description
<name>[open]:X Base pair opening.
\end_layout

\begin_layout Description
<name>[hb]:X Number of WC hydrogen bonds between bases in base pair.
\end_layout

\begin_layout Description
<name>[bp]:X Contain 1 if bases are base paired, 0 otherwise.
\end_layout

\begin_layout Description
<name>[major]:X (If groovecalc simple) Major groove width calculated between
 P atoms of each base.
\end_layout

\begin_layout Description
<name>[minor]:X (If groovecalc simple) Minor groove width calculated between
 O4 atoms of each base.
\end_layout

\begin_layout Standard
Base pair steps:
\end_layout

\begin_layout Description
<name>[shift]:X Base pair step X (starting from 1) shift.
\end_layout

\begin_layout Description
<name>[slide]:X Base pair step slide.
\end_layout

\begin_layout Description
<name>[rise]:X Base pair step rise.
\end_layout

\begin_layout Description
<name>[title]:X Base pair step tilt.
\end_layout

\begin_layout Description
<name>[roll]:X Base pair step roll.
\end_layout

\begin_layout Description
<name>[twist]:X Base pair step twist.
\end_layout

\begin_layout Description
<name>[zp]:X Base pair step Zp value.
\end_layout

\begin_layout Description
<name>[major]:X (If groovecalc 3dna) Major groove width, El Hassan and Calladine.
\end_layout

\begin_layout Description
<name>[minor]:X (If groovecalc 3dna) Minor groove width, El Hassan and Calladine.
\end_layout

\begin_layout Standard
Helical steps:
\end_layout

\begin_layout Description
<name>[xdisp]:X Helical step X (starting from 1) X displacement.
\end_layout

\begin_layout Description
<name>[ydisp]:X Helical Y displacement.
\end_layout

\begin_layout Description
<name>[hrise]:X Helical rise.
\end_layout

\begin_layout Description
<name>[incl]:X Helical inclination.
\end_layout

\begin_layout Description
<name>[tip]:X Helical tip.
\end_layout

\begin_layout Description
<name>[htwist]:X Helical twist.
\end_layout

\begin_layout Standard
Strands (sscalc only):
\end_layout

\begin_layout Description
<name>[dx]:X Strand pair X (starting from 1) X displacement.
\end_layout

\begin_layout Description
<name>[dy]:X Y displacement.
\end_layout

\begin_layout Description
<name>[dz]:X Z displacement.
\end_layout

\begin_layout Description
<name>[rx]:X Relative rotation around X axis.
\end_layout

\begin_layout Description
<name>[ry]:X Relative rotation around Y axis.
\end_layout

\begin_layout Description
<name>[rz]:X Relateive rotation around Z axis.
\end_layout

\end_deeper
\begin_layout Standard

\shape italic
Note that base pair data sets are not created until base pairing is determined.
\end_layout

\begin_layout Standard
Calculate basic nucleic acid (NA) structure parameters for all residues
 in the range specified by 
\series bold
resrange
\series default
 (or all NA residues if no range specified).
 Residue names are recognized with the following priority: standard Amber
 residue names DA, DG, DC, DT, RA, RG, RC, and RU; 3 letter residue names
 ADE, GUA, CYT, THY, and URA; and finally 1 letter residue names A, G, C,
 T, and U.
 Non-standard/modified NA bases can be recognized by using the 
\series bold
resmap
\series default
 keyword.
 For example, to make 
\shape italic
cpptraj
\shape default
 recognize all 8-oxoguanine residues named '8OG' as a guanine-based residue:
\end_layout

\begin_layout LyX-Code
nastruct naout nastruct.dat resrange 274-305 resmap 8OG:G
\end_layout

\begin_layout Standard
The 
\series bold
resmap
\series default
 keyword can be specified multiple times, but only one mapping per unique
 residue name is allowed.
 Note that 
\series bold
resmap
\series default
 may fail if the residue is missing heavy atoms normally present in the
 specified base type.
\end_layout

\begin_layout Standard
Base pairs are determined either once from the first frame or from a reference
 structure, or can be determined each frame if 
\series bold
allframes
\series default
 is specified.
 Base pairing is determined first by base reference axis origin distance,
 then by stagger, then by angle between base Z axes, then finally by hydrogen
 bonding (at least one hydrogen bond must be present).
 Base pair parameters will only be written for determined base pairs.
 Both Watson-Crick and other types of base pairing can be detected.
 Note that although all possible hydrogen bonds are searched for, only WC
 hydrogen bonds are reported in the BP.<suffix> file.
\end_layout

\begin_layout Standard
The procedure used to calculate NA structural parameters is the same as
 3DNA
\begin_inset CommandInset citation
LatexCommand citep
key "Lu2003"
literal "true"

\end_inset

, with algorithms adapted from Babcok et al.
\begin_inset CommandInset citation
LatexCommand citep
key "Babcock94"
literal "true"

\end_inset

 and reference frame coordinates from Olson et al.
\begin_inset CommandInset citation
LatexCommand citep
key "Olson2001"
literal "true"

\end_inset

.
 Given the same base pairs are determined, 
\shape italic
cpptraj
\shape default
 nastruct gives the exact same numbers as 3DNA.
 
\end_layout

\begin_layout Standard
Calculated NA structure parameters are written to three separate files,
 the suffix of which is specified by 
\series bold
naout
\series default
.
 Base pair parameters (shear, stretch, stagger, buckle, propeller twist,
 opening, # WC hydrogen bonds, base pairing, and simple groove widths) are
 written to BP.<suffix>, along with the number of WC hydrogen bonds detected.
 Base pair step parameters (shift, slide, rise, tilt, roll, twist, Zp, and
 El Hassan and Calladine groove widths) are written to BPstep.<suffix>, and
 helical parameters (X-displacement, Y-displacement, rise, inclination,
 tip, and twist) are written to Helix.<suffix>.
 If 
\series bold
noheader
\series default
 is specified a header will not be written to the output files.
 Note that although base puckering is calculated, it is not written to an
 output file by default.
 You can output pucker to a file via the create or write/writedata commands
 after the data has been generated, e.g.:
\end_layout

\begin_layout LyX-Code
nastruct NA naout nastruct.dat resrange 1-3,28-30
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
writedata NApucker.dat NA[pucker]
\end_layout

\begin_layout Standard
Note that while the underlying procedure is geared towards calculating parameter
s for base pairs, the code can be made to calculate parameters between consecuti
ve bases in single strands by specifying 
\series bold
sscalc
\series default
.
\end_layout

\begin_layout Subsubsection*
Custom Nucleic Acid Base References
\end_layout

\begin_layout Standard
Users can now specify 
\series bold
baseref <file>
\series default
 to load a custom nucleic acid base reference.
 The base reference files are white-space delimited, begin with the line
 NASTRUCT REFERENCE, and have the following format:
\end_layout

\begin_layout LyX-Code
NASTRUCT REFERENCE
\end_layout

\begin_layout LyX-Code
<base character> <res name 0> [<res name 1> ...]
\end_layout

\begin_layout LyX-Code
<atom name> <X> <Y> <Z> <HB type> <RMS fit>
\end_layout

\begin_layout LyX-Code
...
\end_layout

\begin_layout Standard
There is a line for each reference atom.
 Lines beginning with '#' are ignored as comments.
\end_layout

\begin_layout Description
<base
\begin_inset space ~
\end_inset

character> Used to identify the underlying base type: A G C T or U.
 If none of these, it will be considered an unknown residue (which just
 means WC hydrogen bonding will not be identified).
\end_layout

\begin_layout Description
<res
\begin_inset space ~
\end_inset

name
\begin_inset space ~
\end_inset

X> Specifies what residue names this reference corresponds to.
 There must be at least one residue name.
 There can be any number of these specified.
\end_layout

\begin_layout Description
<atom
\begin_inset space ~
\end_inset

name> A reference atom name.
\end_layout

\begin_layout Description
<X>
\begin_inset space ~
\end_inset

<Y>
\begin_inset space ~
\end_inset

<Z> The X Y and Z coordinates of the reference atom.
\end_layout

\begin_layout Description
<HB
\begin_inset space ~
\end_inset

type> Denotes if and how the atom participates in hydrogen bonding.
 Can be 'd'onor, 'a'cceptor, or 'n'one (or the numbers 1, 2, 0 respectively).
 Only the first character of the word actually matters.
\end_layout

\begin_layout Description
<RMS
\begin_inset space ~
\end_inset

fit> Denotes whether the atom is involved in RMS-fitting.
\end_layout

\begin_layout Standard
Here is an example for GUA:
\end_layout

\begin_layout LyX-Code
NASTRUCT REFERENCE
\end_layout

\begin_layout LyX-Code
G G G5 G3
\end_layout

\begin_layout LyX-Code
# Modified into format readable by cpptraj nastruct
\end_layout

\begin_layout LyX-Code
C1' -2.477   5.399   0.000 0      0
\end_layout

\begin_layout LyX-Code
N9  -1.289   4.551   0.000 0      1
\end_layout

\begin_layout LyX-Code
C8   0.023   4.962   0.000 0      1
\end_layout

\begin_layout LyX-Code
N7   0.870   3.969   0.000 accept 1
\end_layout

\begin_layout LyX-Code
C5   0.071   2.833   0.000 0      1
\end_layout

\begin_layout LyX-Code
C6   0.424   1.460   0.000 0      1
\end_layout

\begin_layout LyX-Code
O6   1.554   0.955   0.000 accept 0
\end_layout

\begin_layout LyX-Code
N1  -0.700   0.641   0.000 donor  1
\end_layout

\begin_layout LyX-Code
C2  -1.999   1.087   0.000 0      1
\end_layout

\begin_layout LyX-Code
N2  -2.949   0.139  -0.001 donor  0
\end_layout

\begin_layout LyX-Code
N3  -2.342   2.364   0.001 accept 1
\end_layout

\begin_layout LyX-Code
C4  -1.265   3.177   0.000 0      1
\end_layout

\begin_layout Subsection
nativecontacts
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-nativecontacts"

\end_inset


\end_layout

\begin_layout LyX-Code
nativecontacts [<mask1> [<mask2>]] [writecontacts <outfile>] [resout <resfile>]
\end_layout

\begin_layout LyX-Code
               [noimage] [distance <cut>] [out <filename>] [includesolvent]
\end_layout

\begin_layout LyX-Code
               [ first | reference | ref <name> | refindex <#> ]
\end_layout

\begin_layout LyX-Code
               [resoffset <n>] [contactpdb <file>] [pdbcut <cut>] [mindist]
 [maxdist]
\end_layout

\begin_layout LyX-Code
               [name <dsname>] [byresidue] [map [mapout <mapfile>]]
\end_layout

\begin_layout LyX-Code
               [series [seriesout <file>]]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
               [savenonnative [seriesnnout <file>] [nncontactpdb <file>]]
\end_layout

\begin_layout LyX-Code
               [resseries { present | sum } [resseriesout <file>]] [skipnative]
\end_layout

\begin_deeper
\begin_layout Description
<mask1> First mask to calculate contacts for.
\end_layout

\begin_layout Description
[<mask2>] (Optional) Second mask to calculate contacts for.
\end_layout

\begin_layout Description
[writecontacts
\begin_inset space ~
\end_inset

<outfile>] Write information on native contacts to 
\series bold
<outfile>
\series default
 (STDOUT if not specified).
\end_layout

\begin_layout Description
[resout
\begin_inset space ~
\end_inset

<resfile>] File to write contact residue pairs to.
\end_layout

\begin_layout Description
[noimage] Do not image distances.
\end_layout

\begin_layout Description
[distance
\begin_inset space ~
\end_inset

<cut>] Distance cutoff for determining native contacts in Angstroms (default
 7.0 Ang).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write number of native contacts and non-native contacts.
\end_layout

\begin_layout Description
[includesolvent] By default solvent molecules are ignored; this will explicitly
 include solvent molecules.
\end_layout

\begin_layout Description
[first
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

reference
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ref
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

refindex
\begin_inset space ~
\end_inset

<#>] Reference structure to use for determining native contacts.
\end_layout

\begin_layout Description
[resoffset
\begin_inset space ~
\end_inset

<n>] (
\series bold
byresidue
\series default
 only) Ignore contacts between residues spaced less than <n> residues apart
 in sequence.
\end_layout

\begin_layout Description
[contactpdb
\begin_inset space ~
\end_inset

<file>] Write PDB with B-factor column containing relative contact strength
 for native contacts (strongest is 100.0).
\end_layout

\begin_layout Description
[pdbcut
\begin_inset space ~
\end_inset

<cut>] If writing 
\series bold
contactpdb
\series default
, only write contacts with relative contact strength greater than 
\series bold
<cut>
\series default
.
\end_layout

\begin_layout Description
[mindist] If specified, determine the minimum distance between any atoms
 in the mask(s).
\end_layout

\begin_layout Description
[maxdist] If specified, determine the maximum distance between any atoms
 in the mask(s).
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<dsname>] Data set name.
\end_layout

\begin_layout Description
[byresidue] Write out the contact map by residue instead of by atom.
\end_layout

\begin_layout Description
[map] Calculate matrices of native contacts ([nativemap]) and non-native
 contacts ([nonnatmap]).
 These matrices are normalized by the total number of frames, so that a
 value of 1.0 means 
\begin_inset Quotes eld
\end_inset

contact always present
\begin_inset Quotes erd
\end_inset

.
 If 
\series bold
byresidue
\series default
 specified, the values for each individual atom pair are summed over the
 residues they belong to (this means for 
\series bold
byresidue
\series default
 values greater than 1.0 are possible).
\end_layout

\begin_layout Description
[mapout
\begin_inset space ~
\end_inset

<mapfile>] Write native/non-native matrices to 'native.<mapfile>' and 'nonnative.<
mapfile>' respectively.
\end_layout

\begin_layout Description
[series] Calculate native contact time series data, 1 for contact present
 and 0 otherwise.
\end_layout

\begin_layout Description
[seriesout
\begin_inset space ~
\end_inset

<file>] Write native contact time series data to file.
\end_layout

\begin_layout Description
[savenonnative] Save non-native contacts; 
\series bold
series
\series default
 must also be specified.
 This is enabled by default if 
\series bold
skipnative
\series default
 specified.
\end_layout

\begin_deeper
\begin_layout Description
[seriesnnout
\begin_inset space ~
\end_inset

<file>] Write non-native contact time series data to file.
\end_layout

\begin_layout Description
[nncontactpdb
\begin_inset space ~
\end_inset

<file>] Write PDB with B-factor column containing relative contact strength
 for non-native contacts (strongest is 100.0).
\end_layout

\end_deeper
\begin_layout Description
[resseries
\begin_inset space ~
\end_inset

{present
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

sum} Create contacts time series by residue; 
\series bold
series
\series default
 must also be specified.
\end_layout

\begin_deeper
\begin_layout Description
present Record a 1 if 
\emph on
any
\emph default
 contact is present and 0 if no contact is present for the residue pair.
\end_layout

\begin_layout Description
sum The sum of all individual contacts is recorded for the residue pair.
\end_layout

\begin_layout Description
[resseriesout
\begin_inset space ~
\end_inset

<file>] Write residue time series data to <file>.
\end_layout

\end_deeper
\begin_layout Description
[skipnative] If specified, skip native contacts determination, i.e.
 treat all sonctacts as non-native contacts.
 Implies 
\series bold
savenonnative.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<dsname>[native] Number of native contacts.
\end_layout

\begin_layout Description
<dsname>[nonnative] Number of non-native contacts.
\end_layout

\begin_layout Description
<dsname>[mindist] (mindist only) Minimum observed distance each frame.
\end_layout

\begin_layout Description
<dsname>[maxdist] (maxdist only) Maximum observed distance each frame.
\end_layout

\begin_layout Description
<dsname>[nativemap] (map only) Native contacts matrix (2D).
\end_layout

\begin_layout Description
<dsname>[nonnatmap] Non-native contacts matrix (2D).
\end_layout

\begin_layout Description
<dsname>[NC] Native contacts time series.
\end_layout

\begin_layout Description
<dsname>[NN] Non-native contacts time series.
\end_layout

\begin_layout Description
<dsname>[NCRES] Residue native contacts time series.
\end_layout

\begin_layout Description
<dsname>[NNRES] Residue non-native contacts time series.
\end_layout

\end_deeper
\begin_layout Standard
Define and track 
\begin_inset Quotes eld
\end_inset

native
\begin_inset Quotes erd
\end_inset

 contacts as determined by a simple distance cut-off, i.e.
 any atoms which are closer than 
\series bold
<cut>
\series default
 in the specified reference frame (the first frame if no reference specified)
 are considered a native contact.
 If one mask is provided, contacts are looked for within 
\series bold
<mask1>
\series default
; if two masks are provided, only contacts between atoms in 
\series bold
<mask1>
\series default
 and atoms in 
\series bold
<mask2>
\series default
 are looked for (useful for determining intermolecular contacts).
 By default only native contacts are tracked.
 This can be changed by specifying the 
\series bold
savenonnative
\series default
 keyword or by specifying 
\series bold
skipnative
\series default
.
 The time series for contacts can be saved using the 
\series bold
series
\series default
 keyword; these can be further consolidated by residue using the 
\series bold
resseries
\series default
 keyword.
 When using <resseries> the data set index is calculated as (r2 * nres)
 + r1 so that indices can be matched between native/non-native contact pairs.
 Non-native residue contact legends have an nn_ prefix.
\end_layout

\begin_layout Standard
Native contacts that are found are written to the file specified by writecontact
s (or STDOUT) with format:
\end_layout

\begin_layout LyX-Code
# Contact Nframes Frac.
 Avg Stdev 
\end_layout

\begin_layout Standard
Where 
\family typewriter
Contact
\family default
 takes the form ':<residue1 num>@<atom name>_:<residue2 num>@<atom name>,
 
\family typewriter
Nframes
\family default
 is the number of frames the contact is present, 
\family typewriter
Frac.

\family default
 is the total fraction of frames the contact is present, 
\family typewriter
Avg
\family default
 is the average distance of the contact when present, and 
\family typewriter
Stdev
\family default
 is the standard deviation of the contact distance when present.
 If 
\series bold
resout
\series default
 is specified the total fraction of contacts is printed for all residue
 pairs having native contacts with format:
\end_layout

\begin_layout LyX-Code
#Res1 #Res2 TotalFrac Contacts 
\end_layout

\begin_layout Standard
Where 
\family typewriter
#Res1
\family default
 is the first residue number, 
\family typewriter
#Res2
\family default
 is the second residue number, 
\family typewriter
TotalFrac
\family default
 is the total fraction of contacts for the residue pair, and 
\family typewriter
Contacts
\family default
 is the total number of native contacts involved with the residue pair.
 Since 
\family typewriter
TotalFrac
\family default
 is calculated for each pair as the sum of each contact involving that pair
 divided by the total number of frames, it is possible to have 
\family typewriter
TotalFrac
\family default
 values greater than 1 if the residue pair includes more than 1 native contact.
\end_layout

\begin_layout Standard
During trajectory processing, non-native contacts (i.e.
 any pair satisfying the distance cut-off which is not already a native
 contact) are also searched for.
 The time series for native contacts can be saved as well, with 1 for contact
 present and 0 otherwise (similar to the 
\series bold
\emph on
hbond
\series default
\emph default
 command).
 This data can be subsequently analyzed using e.g.
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-lifetime"

\end_inset

.
\end_layout

\begin_layout Standard
Contact maps (matrices) are generated for native and non-native contacts.
 If 
\series bold
byresidue
\series default
 is specified, contact maps are summed over residues, and contacts between
 residues spaced 
\series bold
<resoffset>
\series default
 residues apart in sequence are ignored.
\end_layout

\begin_layout Standard
If 
\series bold
contactpdb
\series default
 is specified a PDB is generated containing relative contact strengths in
 the B-factor column.
 The relative contact strength is normalized so that a value of 100 means
 that atom participated in the most contacts with other atoms.
\end_layout

\begin_layout Standard
Example command looking for contacts between residues 210 to 260 and residue
 named NDP, using reference structure 'FtuFabI.WT.pdb' to define native contacts:
\end_layout

\begin_layout LyX-Code
parm FtuFabI.parm7
\end_layout

\begin_layout LyX-Code
trajin FtuFabI.nc
\end_layout

\begin_layout LyX-Code
reference FtuFabI.WT.pdb
\end_layout

\begin_layout LyX-Code
nativecontacts name NC1 :210-260&!@H= :NDP&!@H= 
\backslash

\end_layout

\begin_layout LyX-Code
    byresidue out nc.all.res.dat mindist maxdist 
\backslash

\end_layout

\begin_layout LyX-Code
    distance 3.0 reference map mapout resmap.gnu 
\backslash

\end_layout

\begin_layout LyX-Code
    contactpdb Loop-NDP.pdb 
\backslash

\end_layout

\begin_layout LyX-Code
    series seriesout native.dat
\end_layout

\begin_layout Subsection
outtraj
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_outtraj"

\end_inset


\end_layout

\begin_layout LyX-Code
outtraj
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
outtraj
\end_layout

\end_inset

 <filename> [ trajout args ]
\end_layout

\begin_layout LyX-Code
        [maxmin <dataset> min <min> max <max>] ...
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<filename> Output trajectory file name.
\end_layout

\begin_layout Description
[trajout
\begin_inset space ~
\end_inset

args] Output trajectory arguments (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-trajout"

\end_inset

).
\end_layout

\begin_layout Description
[maxmin
\begin_inset space ~
\end_inset

<dataset>
\begin_inset space ~
\end_inset

min
\begin_inset space ~
\end_inset

<min>
\begin_inset space ~
\end_inset

max
\begin_inset space ~
\end_inset

<max>] Only write frames to <filename> if values in <dataset> for those
 frames are between <min> and <max>.
 Can be specified for one or more data sets.
\end_layout

\end_deeper
\begin_layout Standard
The outtraj command is similar in function to 
\series bold
\emph on
trajout
\series default
\emph default
, and takes all of the same arguments.
 However, instead of writing a trajectory frame after all actions are complete
 outtraj writes the trajectory frame at its position in the Action queue.
 For example, given the input:
\end_layout

\begin_layout LyX-Code
trajin mdcrd.crd
\end_layout

\begin_layout LyX-Code
trajout output.crd
\end_layout

\begin_layout LyX-Code
outtraj BeforeRmsd.crd
\end_layout

\begin_layout LyX-Code
rms R1 first :1-20@CA out rmsd.dat
\end_layout

\begin_layout LyX-Code
outtraj AfterRmsd.crd
\end_layout

\begin_layout Standard
three trajectories will be written: output.crd, BeforeRmsd.crd, and AfterRmsd.crd.
 The output.crd and AfterRmsd.crd trajectories will be identical, but the
 BeforeRmsd.crd trajectory will contain the coordinates of mdcrd.crd before
 they are RMS-fit.
\end_layout

\begin_layout Standard
The maxmin keyword can be used to restrict output using one more more data
 sets.
 For example, to only write frames for which the RMSD value is between 0.7
 and 0.8:
\end_layout

\begin_layout LyX-Code
trajin tz2.truncoct.nc
\end_layout

\begin_layout LyX-Code
rms R1 first :2-11
\end_layout

\begin_layout LyX-Code
outtraj maxmin.crd maxmin R1 min 0.7 max 0.8
\end_layout

\begin_layout Subsection
pairdist
\end_layout

\begin_layout LyX-Code
pairdist out <filename> mask <mask> [delta <resolution>]
\end_layout

\begin_layout Standard
Calculate pair distribution function.
 In the following, defaults are given in parentheses.
 The 
\series bold
out
\series default
 keyword specifies output file for histogram: distance, P(r), s(P(r)).
 The 
\series bold
mask
\series default
 option specifies atoms for which distances should be computed.
 The 
\series bold
delta
\series default
 option specifies resolution.
 (0.1 Å)
\end_layout

\begin_layout Subsection
pairwise
\end_layout

\begin_layout LyX-Code
pairwise [<name>] [<mask>] [out <filename>] [cuteelec <ecut>] [cutevdw <vcut>]
 	
\end_layout

\begin_layout LyX-Code
         [ reference | ref <name> | refindex <#> ] [cutout <cut mol2 prefix>]
\end_layout

\begin_layout LyX-Code
     	[vmapout <vdw map>] [emapout <elec map>] [avgout <avg file>]
\end_layout

\begin_layout LyX-Code
     	[eout <eout file>] [pdbout <pdb file>] [scalepdbe] [printmode {only|or|and
|}]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Data set name; van der Waals energy will get aspect [EVDW] and
 electrostatic energy will get aspect [EELEC].
\end_layout

\begin_layout Description
[<mask>] Atoms to calculate energy for.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write total EELEC and EVDW to.
\end_layout

\begin_layout Description
[eout
\begin_inset space ~
\end_inset

<eout
\begin_inset space ~
\end_inset

file>] File to write individual EELEC and EVDW interactions to.
\end_layout

\begin_layout Description
[reference
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ref
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

refindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

] Specify a reference to compare frames to (i.e.
 calculate Eref - Eframe).
\end_layout

\begin_layout Description
[cuteelec
\begin_inset space ~
\end_inset

<cut>] Only report interaction EELEC (or delta EELEC) if absolute value
 is greater than <ecut> (default 1.0 kcal/mol).
\end_layout

\begin_layout Description
[cutevdw
\begin_inset space ~
\end_inset

<cutv>] Only report interaction EVDW (or delta EVDW) if absolute value is
 greater than <vcut> (default 1.0 kcal/mol).
\end_layout

\begin_layout Description
[cutout
\begin_inset space ~
\end_inset

<cut
\begin_inset space ~
\end_inset

mol2
\begin_inset space ~
\end_inset

prefix>] Write out mol2 containing only atom pairs which satisfy <ecut>
 and <vcut>.
\end_layout

\begin_layout Description
[vmapout
\begin_inset space ~
\end_inset

<vdw
\begin_inset space ~
\end_inset

map>] Write out interaction EVDW (or delta EVDW) matrix to file <vdw map>.
\end_layout

\begin_layout Description
[emapout
\begin_inset space ~
\end_inset

<elec
\begin_inset space ~
\end_inset

map>] Write out interaction EELEC (or delta EELEC) matrix to file <elec
 map>.
\end_layout

\begin_layout Description
[avgout
\begin_inset space ~
\end_inset

<avg
\begin_inset space ~
\end_inset

file>] Print average interaction EVDW|EELEC (or average delta EVDW|EELC)
 to <avg file>.
\end_layout

\begin_layout Description
[pdbout
\begin_inset space ~
\end_inset

<pdb
\begin_inset space ~
\end_inset

file>] Write PDB with EVDW|EELEC in occupancy|B-factor columns to <pdb file>.
\end_layout

\begin_layout Description
[scalepdbe] Scale energies written to PDB from 0 to 100.
\end_layout

\begin_layout Description
[printmode
\begin_inset space ~
\end_inset

{only|or|and}] Control when/how average energies are written
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<name>[EELEC] Electrostatic energy in (kcal/mol).
\end_layout

\begin_layout Description
<name>[EVDW] van der Waals energy in (kcal/mol).
\end_layout

\begin_layout Description
<name>[VMAP] van der Waals energy matrix.
\end_layout

\begin_layout Description
<name>[EMAP] Electrostatic energy matrix.
\end_layout

\end_deeper
\begin_layout Standard
This action has two related functions: 1) Calculate pairwise (i.e.
 non-bonded) energy (in kcal/mol) for atoms in 
\series bold
<mask>
\series default
, or 2) Compare pairwise energy of frames to a reference frame.
 This calculation does use an exclusion list but is not periodic.
\end_layout

\begin_layout Standard
When comparing to a reference frame, the 
\series bold
eout
\series default
 file will contain the differences for each individual interaction (i.e.
 Eref - Eframe), otherwise the 
\series bold
eout
\series default
 file will contain the absolute value of each individual interaction.
 The 
\series bold
cuteelc
\series default
 and 
\series bold
cutevdw
\series default
 keywords can be used to restrict printing of individual interactions to
 those for which the absolute value is above a cutoff.
 The VMAP and EMAP matrix elements will contain these values as well (difference
s for reference, absolute value otherwise) averaged over all frames.
 The 
\series bold
avgout
\series default
 file will contain only these values averaged over all frames that satisfy
 the cutoffs.
 The 
\series bold
printmode
\series default
 keyword controls when the average energies are written: 
\series bold
only
\series default
 means only average energy components that satisfy cutoffs will be printed,
 
\series bold
or
\series default
 means that both energy components will be printed if either satistfy a
 cutoff, and 
\series bold
and
\series default
 means that both energy components will be written only if both satisfy
 the cutoffs.
\end_layout

\begin_layout Standard
The 
\series bold
cutout
\series default
 keyword can be used to write out MOL2 files each frame named '<cut mol2
 prefix>.evdw.mol2.X' and '<cut mol2 prefix>.eelec.mol2.X' (where X is the frame
 number) containing only atoms with energies that satisfy the cutoffs.
 Similarly, the 
\series bold
pdbout
\series default
 keyword can be used to write out a PDB file (with 1 MODEL per frame).
 The occupancy and B-factor columns will contain the total van der Waals
 and electrostatic energy for each atom if cutoffs are satisfied, or 0.0
 otherwise.
\end_layout

\begin_layout Subsection
principal
\end_layout

\begin_layout LyX-Code
principal [<mask>] [dorotation] [out <filename>] [name <dsname>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<mask>] Mask of atoms used to determine principal axes (default all).
\end_layout

\begin_layout Description
[dorotation] Align coordinates along principal axes.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write resulting eigenvalues/eigenvectors to <filename>.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<dsname>] Data set name (3x3 matrices).
\end_layout

\begin_layout Standard
Data Sets Created (
\series bold
name
\series default
 keyword only):
\end_layout

\begin_layout Description
<dsname>[evec] Eigenvectors (3x3 matrix, row-major).
\end_layout

\begin_layout Description
<dsname>[eval] Eigenvalues (vector).
\end_layout

\end_deeper
\begin_layout Standard
Determine principal axes of each frame determined by diagonalization of
 the inertial matrix from the coordinates of the specified atoms.
 At least one of 
\series bold
dorotation
\series default
, 
\series bold
out
\series default
, or 
\series bold
name
\series default
 must be specified.
 The resulting eigenvectors are sorted from largest eigenvalue to smallest,
 and the corresponding axes labelled using the 
\emph on
cpptraj
\emph default
 convention of X > Y > Z (similar to '
\series bold
\emph on
vector
\series default
\emph default
 
\series bold
principal
\series default
').
 If out is specified the eigenvectors and eigenvalues will be written for
 each frame N with format:
\end_layout

\begin_layout LyX-Code
<N> EIGENVALUES: <EX> <EY> <EZ>
\end_layout

\begin_layout LyX-Code
<N> EIGENVECTOR 0: <Xx> <Xy> <Xz>
\end_layout

\begin_layout LyX-Code
<N> EIGENVECTOR 1: <Yx> <Yy> <Yz>
\end_layout

\begin_layout LyX-Code
<N> EIGENVECTOR 2: <Zx> <Zy> <Zz>
\end_layout

\begin_layout Standard
NOTE: The eigenvector 3x3 matrix data set could subsequently be used e.g.
 with the 
\series bold
\emph on
rotate
\series default
\emph default
 action.
\end_layout

\begin_layout Standard
Example: Align system (residues 1-76) along principle axes:
\end_layout

\begin_layout LyX-Code
parm myparm.parm7
\end_layout

\begin_layout LyX-Code
trajin protein.nc
\end_layout

\begin_layout LyX-Code
principal :1-76 dorotation out principal.dat
\end_layout

\begin_layout Subsection
projection
\end_layout

\begin_layout LyX-Code
projection [<name>] evecs <dataset name> [out <outfile>] [beg <beg>] [end
 <end>]
\end_layout

\begin_layout LyX-Code
           [<mask>] [dihedrals <dataset arg>]
\end_layout

\begin_layout LyX-Code
           [start <start>] [stop <stop>] [offset <offset>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Output data set name.
\end_layout

\begin_layout Description
evecs
\begin_inset space ~
\end_inset

<dataset
\begin_inset space ~
\end_inset

name> Data set containing eigenvectors (modes).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<outfile>] Write projections to <outfile>.
\end_layout

\begin_layout Description
[beg
\begin_inset space ~
\end_inset

<beg>] First eigenvector/mode to use (default 1).
\end_layout

\begin_layout Description
[end
\begin_inset space ~
\end_inset

<end>] Final eigenvector/mode to use (default 2).
\end_layout

\begin_layout Description
[<mask>] (Not dihedral covariance) Mask of atoms to use in projection; MUST
 CORRESPOND TO HOW EIGENVECTORS WERE GENERATED.
\end_layout

\begin_layout Description
[dihedrals
\begin_inset space ~
\end_inset

<dataset
\begin_inset space ~
\end_inset

arg>] (Dihedral covariance only) Dihedral data sets to use in projection;
 MUST CORRESPOND TO HOW EIGENVECTORS WERE GENERATED.
\end_layout

\begin_layout Description
[start
\begin_inset space ~
\end_inset

<start>] Frame to start calculating projection.
\end_layout

\begin_layout Description
[stop
\begin_inset space ~
\end_inset

<stop>] Frame to stop calculating projection.
\end_layout

\begin_layout Description
[offset
\begin_inset space ~
\end_inset

<offset>] Frames to skip between projection calculations.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Standard
DataSet indices correspond to mode #.
\end_layout

\begin_layout Description
<name> (All execpt IDEA) Projection data set.
\end_layout

\begin_layout Description
<name>[X] X component of mode (IDEA modes only).
\end_layout

\begin_layout Description
<name>[Y] Y component of mode (IDEA modes only).
\end_layout

\begin_layout Description
<name>[Z] Z component of mode (IDEA modes only).
\end_layout

\begin_layout Description
<name>[R] Magnitude of mode (IDEA modes only).
\end_layout

\end_deeper
\begin_layout Standard
Projects snapshots onto eigenvectors obtained by diagonalizing covariance
 or mass-weighted covariance matrices.
 Eigenvectors are taken from previously generated (e.g.
 with 
\series bold
\shape italic
diagmatrix
\series default
\shape default
) or previously read-in (e.g.
 with 
\series bold
\shape italic
readdata
\series default
\shape default
) eigenvectors with name <dataset name>.
 The user has to make sure that the atoms selected by 
\series bold
<mask>
\series default
 agree with the ones used to calculate the modes (i.e., if mask = '@CA' was
 used in the 
\begin_inset Quotes eld
\end_inset


\family sans
\series bold
matrix
\family default
\series default

\begin_inset Quotes erd
\end_inset

 command, mask = '@CA' needs to be set here as well).
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:cpptraj-Matrix-Vector-Analysis-Examples"

\end_inset

 for examples using the 
\series bold
\emph on
projection
\series default
\emph default
 command.
\end_layout

\begin_layout Subsection
pucker 
\end_layout

\begin_layout LyX-Code
pucker
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
pucker
\end_layout

\end_inset

 [<name>] <mask1> <mask2> <mask3> <mask4> <mask5> [<mask6>] [geom]
\end_layout

\begin_layout LyX-Code
	   [out <filename>] [altona | cremer] [amplitude] [theta]
\end_layout

\begin_layout LyX-Code
   	[range360] [offset <offset>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<name> Output data set name.
\end_layout

\begin_layout Description
<maskX> Five (optionally six) atom masks selecting atom(s) to calculate
 pucker for.
\end_layout

\begin_layout Description
[geom] Use geometric center of atoms in <maskX> (default is center of mass).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file name.
\end_layout

\begin_layout Description
[altona] Use method of Altona & Sundaralingam (5 masks only).
\end_layout

\begin_layout Description
[cremer] Use method of Cremer and Pople (5 or 6 masks).
 This is the default when 6 masks are specified.
\end_layout

\begin_layout Description
[amplitude] Also calculate amplitude.
\end_layout

\begin_layout Description
[theta] (6 masks only) Also calculate theta.
\end_layout

\begin_layout Description
[range360] Wrap pucker values from 0.0 to 360.0 (default is -180.0 to 180.0).
\end_layout

\begin_layout Description
[offset
\begin_inset space ~
\end_inset

<offset>] Add <offset> to pucker values.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<name> Pucker in degrees.
\end_layout

\begin_layout Description
<name>[Amp] Amplitude (if 
\series bold
amplitude
\series default
 was specified).
\end_layout

\begin_layout Description
<name>[Theta] Theta (if 
\series bold
theta
\series default
 and 6 masks were specified).
\end_layout

\end_deeper
\begin_layout Standard
Calculate the pucker (in degrees) for atoms in <mask1>, <mask2>, <mask3>,
 <mask4>, <mask5> using the method of Altona & Sundarlingam
\begin_inset CommandInset citation
LatexCommand citep
key "Altona1972,Harvey1986"
literal "true"

\end_inset

 (default for 5 masks, or if 
\series bold
altona
\series default
 specified), or the method of Cremer & Pople
\begin_inset CommandInset citation
LatexCommand citep
key "Cremer1975"
literal "true"

\end_inset

 (default for 6 masks, or if 
\series bold
cremer
\series default
 is specified).
 If the 
\series bold
amplitude
\series default
 or 
\series bold
theta
\series default
 keywords are given, amplitudes/thetas (also in degrees) will be calculated
 in addition to pucker.
 The results from 
\series bold
\shape italic
pucker
\series default
\shape default
 can be further analyzed with the 
\series bold
\shape italic
statistics
\series default
\shape default
 analysis.
\end_layout

\begin_layout Standard
By default, pucker values are wrapped to range from -180 to 180 degrees.
 If the 
\series bold
range360
\series default
 keyword is specified values will be wrapped to range from 0 to 360 degrees.
 Note that the Cremer & Pople convention is offset from Altona & Sundarlingam
 convention (with nucleic acids) by +90.0 degrees; the 
\series bold
offset
\series default
 keyword will add an offset to the final value and so can be used to convert
 between the two.
 For example, to convert from Cremer to Altona specify 
\begin_inset Quotes eld
\end_inset


\series bold
offset
\series default
 90
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Standard
To calculate nucleic acid pucker specify C1' first, followed by C2', C3',
 C4' and O4'.
 For example, to calculate the sugar pucker for nucleic acid residues 1
 and 2 using the method of Altona & Sundarlingam, with final pseudorotation
 values ranging from 0 to 360:
\end_layout

\begin_layout LyX-Code
pucker p1 :1@C1' :1@C2' :1@C3' :1@C4' :1@O4' range360 out pucker.dat 
\end_layout

\begin_layout LyX-Code
pucker p2 :2@C1' :2@C2' :2@C3' :2@C4' :2@O4' range360 out pucker.dat
\end_layout

\begin_layout Subsection
radgyr | rog
\end_layout

\begin_layout LyX-Code
radgyr
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
radgyr
\end_layout

\end_inset

 [name>] [<mask>] [out <filename>] [mass] [nomax] [tensor]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Data set name.
\end_layout

\begin_layout Description
[<mask>] Atoms to calculate radius of gyration for; default all atoms.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write data to <filename>.
\end_layout

\begin_layout Description
[mass] Mass-weight radius of gyration.
\end_layout

\begin_layout Description
[nomax] Do not calculate maximum radius of gyration.
\end_layout

\begin_layout Description
[tensor] Calculate radius of gyration tensor, output format 'XX YY ZZ XY
 XZ YZ'.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<name> Radius of gyration in Ang.
\end_layout

\begin_layout Description
<name>[Max] Max radius of gyration in Ang.
\end_layout

\begin_layout Description
<name>[Tensor] Radius of gyration tensor; format 'XX YY ZZ XY XZ YZ'.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the radius of gyration of specified atoms.
 For example, to calculate only the mass-weighted radius of gyration (not
 the maximum) of the non-hydrogen atoms of residues 4 to 10 and print the
 results to 
\begin_inset Quotes eld
\end_inset

RoG.dat
\begin_inset Quotes erd
\end_inset

:
\end_layout

\begin_layout LyX-Code
radgyr :4-10&!(@H=) out RoG.dat mass nomax
\end_layout

\begin_layout Subsection
radial | rdf
\end_layout

\begin_layout LyX-Code
radial
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
radial
\end_layout

\end_inset

 [out <outfilename>] <spacing> <maximum> <solvent mask1>
\end_layout

\begin_layout LyX-Code
       [<solute mask2>] [noimage] [density <density> | volume] [<dataset
 name>]
\end_layout

\begin_layout LyX-Code
       [intrdf <file>] [rawrdf <file>]
\end_layout

\begin_layout LyX-Code
       [{{center1|center2|nointramol} | [byres1] [byres2] [bymol1] [bymol2]}]]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[out
\begin_inset space ~
\end_inset

<outfilename>] File to write RDF to.
\end_layout

\begin_layout Description
<spacing> Bin spacing, required.
\end_layout

\begin_layout Description
<maximum> Max bin value, required.
\end_layout

\begin_layout Description
<solvent
\begin_inset space ~
\end_inset

mask1> Atoms to calculate RDF for, required.
\end_layout

\begin_layout Description
[<solute
\begin_inset space ~
\end_inset

mask2>] (Optional) If specified calculate RDF of all atoms in <solvent mask1>
 to each atom in <solute mask2>.
\end_layout

\begin_layout Description
[noimage] Do not image distances.
\end_layout

\begin_layout Description
[density
\begin_inset space ~
\end_inset

<density>] Use density value of <density> for normalization (default 0.033456
 molecules
\begin_inset space ~
\end_inset

Å
\begin_inset Formula $^{-\text{3}}$
\end_inset

).
\end_layout

\begin_layout Description
[volume] Determine density for normalization from average volume of input
 frames.
\end_layout

\begin_layout Description
[<setname>] Name of output data sets.
\end_layout

\begin_layout Description
[center1] Calculate RDF from geometric center of atoms in <solvent mask1>
 to all atoms in <solute mask2>.
\end_layout

\begin_layout Description
[center2] Calculate RDF from geometric center of atoms in <solute mask2>
 to all atoms in <solvent mask1>.
\end_layout

\begin_layout Description
[nointramol] Ignore intra-molecular distances.
\end_layout

\begin_layout Description
[intrdf
\begin_inset space ~
\end_inset

<file>] Calculate integral of RDF bin values (averaged over # of frames
 but otherwise not normalized) and write to <file> (can be same as <output_filen
ame>).
\end_layout

\begin_layout Description
[rawrdf
\begin_inset space ~
\end_inset

<file>] Write raw (non-normalized) RDF values to <file>.
\end_layout

\begin_layout Description
[byres1] Calculate using the centers of mass of each residue in the first
 mask.
\end_layout

\begin_layout Description
[bymol1] Calculate using the centers of mass of each molecule in the first
 mask.
\end_layout

\begin_layout Description
[byres2] Calculate using the centers of mass of each residue in the second
 mask.
\end_layout

\begin_layout Description
[bymol2] Calculate using the centers of mass of each molecule in the second
 mask.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
<setname> The radial distribution function.
\end_layout

\begin_layout Description
<setname>[int] (
\series bold
intrdf
\series default
 only) Integral of RDF bin values.
\end_layout

\begin_layout Description
<setname>[raw] (
\series bold
rawrdf
\series default
 only) Raw (non-normalized) RDF values.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the radial distribution function (RDF, aka pair correlation function)
 of atoms in 
\series bold
<solvent mask1>
\series default
 (note that this mask does not need to be solvent, but this nomenclature
 is used for clarity).
 If an optional second mask (
\series bold
<solute mask2>
\series default
) is given, calculate the RDF of ALL atoms in 
\series bold
<solvent mask1>
\series default
 to EACH atom in 
\series bold
<solute mask2>
\series default
.
 If desired, the geometric center of atoms in 
\series bold
<solvent mask1>
\series default
 or 
\series bold
<solute mask2>
\series default
 can be used by specifying the 
\series bold
center1
\series default
 or 
\series bold
center2
\series default
 keywords respectively, or alternatively intra-molecular distances can be
 ignored by specifying the 
\series bold
nointramol
\series default
 keyword.
\end_layout

\begin_layout Standard
The RDF is calculated from the histogram of the number of particles found
 as a function of distance R, normalized by the expected number of particles
 at that distance.
 The normalization is calculated from:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Formula $Density*\frac{4\pi}{3}\left(\left(R+dR\right)^{3}-R^{3}\right)$
\end_inset


\end_layout

\begin_layout Standard
where dR is equal to the bin spacing.
 Some care is required by the user in order to normalize the RDF correctly.
 The default density value is 0.033456 molecules
\begin_inset space ~
\end_inset

Å
\begin_inset Formula $^{-\text{3}}$
\end_inset

, which corresponds to a density of water approximately equal to 1.0 g
\begin_inset space ~
\end_inset

mL
\begin_inset Formula $^{-\text{1}}$
\end_inset

.
 To convert a standard density in g
\begin_inset space ~
\end_inset

mL
\begin_inset Formula $^{-\text{1}}$
\end_inset

, multiply the density by 
\begin_inset Formula $\frac{0.6022}{M_{r}}$
\end_inset

, where 
\begin_inset Formula $M_{r}$
\end_inset

 is the mass of the molecule in atomic mass units.
 Alternatively, if the 
\series bold
volume
\series default
 keyword is specified the density is determined from the average volume
 of the system over all Frames.
 
\end_layout

\begin_layout Standard
Note that correct normalization of the RDF depends on the number of atoms
 in each mask; if multiple topology files are being processed that result
 in changes in the number of atoms in each mask, the normalization will
 be off.
\end_layout

\begin_layout Subsection
randomizeions
\end_layout

\begin_layout LyX-Code
randomizeions <mask> [around <ardoundmask> by <distance>] [{allowoverlap|overlap
 <value>}]
\end_layout

\begin_layout LyX-Code
              [noimage] [seed <value>] [originalalgorithm]
\end_layout

\begin_deeper
\begin_layout Description
<mask> Mask of ions to randomize.
\end_layout

\begin_layout Description
around
\begin_inset space ~
\end_inset

<mask>
\begin_inset space ~
\end_inset

by
\begin_inset space ~
\end_inset

<distance> Ensure ions come no closer than <distance> Ang.
 to atoms in <aroundmask>.
\end_layout

\begin_layout Description
allowoverlap No restrictions on how close ions can be to each other.
\end_layout

\begin_layout Description
overlap
\begin_inset space ~
\end_inset

<value> Ions in <mask> can be no closer than <value> Ang.
 to each other.
\end_layout

\begin_layout Description
[noimage] Do not image distances.
\end_layout

\begin_layout Description
[seed
\begin_inset space ~
\end_inset

<value>] Seed for the random number generator.
\end_layout

\begin_layout Description
[originalalgorithm] Use the original, slower algorithm (from versions before
 5.1.0).
\end_layout

\end_deeper
\begin_layout Standard
This can be used to randomly swap the positions of solvent and single atom
 ions.
 The 
\begin_inset Quotes eld
\end_inset


\family typewriter
overlap
\family default

\begin_inset Quotes erd
\end_inset

 specifies the minimum distance between ions, and the 
\begin_inset Quotes eld
\end_inset


\family typewriter
around
\family default

\begin_inset Quotes erd
\end_inset

 keyword can be used to specify a solute (or set of atoms) around which
 the ions can get no closer than the distance specified.
 The optional keywords 
\begin_inset Quotes eld
\end_inset


\family typewriter
noimage
\family default

\begin_inset Quotes erd
\end_inset

 disable imaging and 
\begin_inset Quotes eld
\end_inset


\family typewriter
seed
\family default

\begin_inset Quotes erd
\end_inset

 update the random number seed.
 An example usage is
\end_layout

\begin_layout LyX-Code
randomizeions @NA around :1-20 by 5.0 overlap 3.0
\end_layout

\begin_layout Standard
The above will swap Na
\begin_inset Formula $^{\text{+}}$
\end_inset

 ions with water getting no closer than 5.0
\begin_inset space ~
\end_inset

Å from residues 1 – 20 and no closer than 3.0
\begin_inset space ~
\end_inset

Å from any other Na
\begin_inset Formula $^{\text{+}}$
\end_inset

 ion.

\shape italic
 
\end_layout

\begin_layout Subsection
remap
\end_layout

\begin_layout LyX-Code
remap data <setname>
\end_layout

\begin_layout LyX-Code
      [outprefix <prefix>] [parmout <filename>]
\end_layout

\begin_layout LyX-Code
      [parmopts <comma-separated-list>]
\end_layout

\begin_deeper
\begin_layout Description
data
\begin_inset space ~
\end_inset

<setname> Data set to use for remapping; should be a 1D integer data set
 with X= reference (old) atom index, Y = target (new) atom index.
\end_layout

\begin_layout Description
outprefix
\begin_inset space ~
\end_inset

<prefix> Write remapped topology to <prefix>.<originalname>
\end_layout

\begin_layout Description
parmout
\begin_inset space ~
\end_inset

<filename> Write remapped topology to <filename>
\end_layout

\begin_layout Description
parmopts
\begin_inset space ~
\end_inset

<list> Options for writing topology file
\end_layout

\end_deeper
\begin_layout Standard
Re-map atoms according to the given reference data set which is of the format:
 
\end_layout

\begin_layout LyX-Code
Reference[Target]
\end_layout

\begin_layout Standard
with atom numbering starting from 1.
 E.g.
 Reference[1] = 10 would mean remap atom 10 in target to position 1.
\end_layout

\begin_layout Subsection
replicatecell
\end_layout

\begin_layout LyX-Code
replicatecell [out <traj filename>] [name <dsname>]
\end_layout

\begin_layout LyX-Code
          	{ all | dir <XYZ> [dir <XYZ> ...] } [<mask>]
\end_layout

\begin_layout LyX-Code
          	[outprefix <prefix>] [parmout <filename>]
\end_layout

\begin_layout LyX-Code
          	[parmopts <comma-separated-list>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
out
\begin_inset space ~
\end_inset

<traj
\begin_inset space ~
\end_inset

filename> Write replicated cell to output trajectory file.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<dsname> If specified save replicated cell to COORDS data set.
\end_layout

\begin_layout Description
all Replicate cell once in all possible directions.
\end_layout

\begin_layout Description
dir
\begin_inset space ~
\end_inset

<XYZ> Repicate cell once in specified directions.
 <XYZ> should consist of 3 numbers with no spaces in between them and are
 restricted to values of -1, 1, and 0.
 May be specified more than once.
\end_layout

\begin_layout Description
<mask> Mask of atoms to replicate.
\end_layout

\begin_layout Description
outprefix
\begin_inset space ~
\end_inset

<prefix> Write replicated topology to <prefix>.<originalname>
\end_layout

\begin_layout Description
parmout
\begin_inset space ~
\end_inset

<filename> Write replicated topology to <filename>
\end_layout

\begin_layout Description
parmopts
\begin_inset space ~
\end_inset

<list> Options for writing topology file
\end_layout

\end_deeper
\begin_layout Standard
Create a trajectory where the unit cell is replicated in 1 or more directions
 (up to 27).
 The resulting coordinates and topology can be written to a trajectory/topology
 file.
 They can also be saved as a COORDS data set for subsequent processing.
 Currently replication is only allowed 1 axis length in either direction.
 The 
\series bold
all
\series default
 keyword will replicate the cell once in all directions.
 The 
\series bold
dir
\series default
 keyword can be used to restrict replication to specific directions, e.g.
 '
\family typewriter
dir 10-1
\family default
' would replicate the cell once in the +X, -Z directions.
\end_layout

\begin_layout Standard
For example, to replicate a cell in all directions, writing out to NetCDF
 trajectory cell.nc:
\end_layout

\begin_layout LyX-Code
parm ../tz2.truncoct.parm7
\end_layout

\begin_layout LyX-Code
trajin ../tz2.truncoct.nc
\end_layout

\begin_layout LyX-Code
replicatecell out cell.nc parmout cell.parm7 all
\end_layout

\begin_layout Subsection
rms | rmsd
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-rmsd"

\end_inset


\end_layout

\begin_layout LyX-Code
rmsd
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
rmsd
\end_layout

\end_inset

 [<name>] <mask> [<refmask>] [out <filename>] [mass]
\end_layout

\begin_layout LyX-Code
 	[nofit | norotate | nomod]
\end_layout

\begin_layout LyX-Code
 	[savematrices [matricesout <file>]]
\end_layout

\begin_layout LyX-Code
 	[savevectors {combined|separate} [vecsout <file>]]
\end_layout

\begin_layout LyX-Code
 	[ first | reference | ref <name> | refindex <#> | previous |
\end_layout

\begin_layout LyX-Code
 	  reftraj <name> [parm <name> | parmindex <#>] ]
\end_layout

\begin_layout LyX-Code
 	[perres perresout <filename> [perresavg <avgfile>]
\end_layout

\begin_layout LyX-Code
 	 [range <resRange>] [refrange <refRange>]
\end_layout

\begin_layout LyX-Code
 	 [perresmask <additional mask>] [perrescenter] [perresinvert]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Output data set name.
\end_layout

\begin_layout Description
[<mask>] Mask of atoms to calculate RMSD for; if not specified, calculate
 for all atoms.
\end_layout

\begin_layout Description
[<refmask>] Reference mask; if not specified, use 
\series bold
<mask>
\series default
.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output data file name.
\end_layout

\begin_layout Description
[mass] Mass-weight the RMSD calculation.
\end_layout

\begin_layout Description
[nofit] Do not perform best-fit RMSD.
\end_layout

\begin_layout Description
[norotate] If calculating best-fit RMSD, translate but do not rotate coordinates.
\end_layout

\begin_layout Description
[nomod] If calculating best-fit RMSD, do not modify coordinates.
\end_layout

\begin_layout Description
[savematrices] If specified save rotation matrices to data set with aspect
 [RM].
\end_layout

\begin_deeper
\begin_layout Description
matricesout
\begin_inset space ~
\end_inset

<file> Write rotation matrices to specified file.
\end_layout

\end_deeper
\begin_layout Description
[savevectors
\begin_inset space ~
\end_inset

{combined|separate}] If specified save translation vectors: 
\series bold
combined
\series default
 means save target-to-origin plus the origin-to-reference translation vectors,
 
\series bold
separate
\series default
 means save target-to-origin as Vx, Vy, Vz and save origin-to-reference
 as Ox Oy Oz in the output vector data set.
\end_layout

\begin_deeper
\begin_layout Description
vecsout
\begin_inset space ~
\end_inset

<file> Output translation vector data set to <file>.
\end_layout

\end_deeper
\begin_layout Standard
Reference keywords:
\end_layout

\begin_layout Description

\series bold
first
\series default
 Use the first trajectory frame processed as reference.
\end_layout

\begin_layout Description

\series bold
reference
\series default
 Use the first previously read in reference structure (refindex 0).
\end_layout

\begin_layout Description

\series bold
ref
\begin_inset space ~
\end_inset

<name>
\series default
 Use previously read in reference structure specified by filename/tag.
\end_layout

\begin_layout Description

\series bold
refindex
\begin_inset space ~
\end_inset

<#>
\series default
 Use previously read in reference structure specified by <#> (based on order
 read in).
\end_layout

\begin_layout Description
previous Use frame prior to current frame as reference.
\end_layout

\begin_layout Description

\series bold
reftraj
\series default

\begin_inset space ~
\end_inset

<name> Use frames from COORDS set <name> or read in from trajectory file
 <name> as references.
 Each frame from <name> is used in turn, so that frame 1 is compared to
 frame 1 from <name>, frame 2 is compared to frame 2 from <name> and so
 on.
 If <trajname> runs out of frames before processing is complete, the last
 frame of <trajname> continues to be used as the reference.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<parmname>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#> If 
\series bold
reftraj
\series default
 specifies a trajectory file, associate it with specified topology; if not
 specified the first topology is used.
\end_layout

\end_deeper
\begin_layout Standard
Per-residue RMSD keywords:
\end_layout

\begin_layout Description
perres Activate per-residue no-fit RMSD calculation.
\end_layout

\begin_layout Description
perresout
\begin_inset space ~
\end_inset

<perresfile> Write per-residue RMSD to <perresfile>.
\end_layout

\begin_layout Description
perresavg
\begin_inset space ~
\end_inset

<avgfile> Write average per-residue RMSDs to <avgfile>.
\end_layout

\begin_layout Description
range
\begin_inset space ~
\end_inset

<res
\begin_inset space ~
\end_inset

range> Calculate per-residue RMSDs for residues in <res range> (default
 all solute residues).
\end_layout

\begin_layout Description
refrange
\begin_inset space ~
\end_inset

<ref
\begin_inset space ~
\end_inset

range> Calculate per-residue RMSDs to reference residues in <ref range>
 (use <res range> if not specified).
\end_layout

\begin_layout Description
perresmask
\begin_inset space ~
\end_inset

<additional
\begin_inset space ~
\end_inset

mask> By default residues are selected using the mask ':X' where X is residue
 number; this appends <additional mask> to the mask expression.
\end_layout

\begin_layout Description
perrescenter Translate residues to a common center of mass prior to calculating
 RMSD.
\end_layout

\begin_layout Description
perresinvert Make X-axis residue number instead of frame number.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<name> RMSD of atoms in mask to reference.
\end_layout

\begin_layout Description
<name>[RM] (savematrices only) Rotation matrices of target to reference.
\end_layout

\begin_layout Description
<name>[TV] (savevectors only) Translation vector.
\end_layout

\begin_layout Description
<name>[res] (
\series bold
perres
\series default
 only) Per-residue RMSDs; index is residue number.
\end_layout

\begin_layout Description
<name>[Avg] (
\series bold
perres
\series default
 only) Average per-residue RMSD for each residue.
\end_layout

\begin_layout Description
<name>[Stdev] (
\series bold
perres
\series default
 only) Standard deviation of RMSD for each residue.
\end_layout

\end_deeper
\begin_layout Standard

\shape italic
Note that 
\series bold
perres
\series default
 data sets are not generated until 
\series bold
run
\series default
 is called.
\end_layout

\begin_layout Standard
Calculate the coordinate RMSD of input frames to a reference frame (or reference
 trajectory).
 Both <mask> and <refmask> must specify the same number of atoms, otherwise
 an error will occur.
 
\end_layout

\begin_layout Standard
For example, say you have a trajectory and you want to calculate RMSD to
 two separate reference structures.
 To calculate the best-fit RMSD of the C, CA, and N atoms of residues 1
 to 20 in each frame to the C, CA, and N atoms of residues 3 to 23 in StructX.crd
, and then calculate the no-fit RMSD of residue 7 to residue 7 in another
 structure named Struct-begin.rst7, writing both results to Grace-format
 file 
\begin_inset Quotes eld
\end_inset

rmsd1.agr
\begin_inset Quotes erd
\end_inset

:
\end_layout

\begin_layout LyX-Code
reference StructX.crd [structX]
\end_layout

\begin_layout LyX-Code
reference md_begin.rst7 [struct0]
\end_layout

\begin_layout LyX-Code
rmsd BB :1-20@C,CA,N ref [structX] :3-23@C,CA,N out rmsd1.agr 
\end_layout

\begin_layout LyX-Code
rmsd Res7 :7 ref [struct0] out rmsd1.agr nofit
\end_layout

\begin_layout Subsubsection*
Per-residue RMSD calculation
\end_layout

\begin_layout Standard
If the 
\series bold
\color black
perres
\series default
\color inherit
 keyword is specified, after the initial RMSD calculation the no-fit RMSD
 of specified residues is also calculated.
 So for example:
\end_layout

\begin_layout LyX-Code
rmsd :10-260 reference perres perresout PRMS.dat range 190-211 perresmask
 &!(@H=)
\end_layout

\begin_layout Standard

\family roman
will first perform a best-fit RMSD calculation to the first specified reference
 structure using residues 10 to 260, then calculate the no-fit RMSD of residues
 190 to 211 (excluding any hydrogen atoms), writing the results to PRMS.dat.
 Two additional recommendations for the 'perres' option: 1) try not including
 backbone atoms by using the 'perresmask' keyword, e.g.
 "perresmask &!@H,N,CA,HA,C,O", and 2) try using the 'perrescenter' keyword,
 which centers each residue prior to the 'nofit' calculation; this is useful
 for isolating changes in residue conformation.
\end_layout

\begin_layout Subsection
rms2d | 2drms
\end_layout

\begin_layout Standard
Although the 
\series bold
\emph on
'rms2d'
\series default
\emph default
 command can still be specified as an action, it is now considered an analysis.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-rms2d"

\end_inset

.
\end_layout

\begin_layout Subsection
rmsavgcorr
\end_layout

\begin_layout Standard
Although the 
\series bold
\emph on
'rmsavgcorr'
\series default
\emph default
 command can still be specified as an action, it is now considered an analysis.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-rmsavgcorr"

\end_inset

.
\end_layout

\begin_layout Subsection
rmsf | atomicfluct
\end_layout

\begin_layout Standard
See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_atomicfluct"

\end_inset

.
\end_layout

\begin_layout Subsection
rotate
\end_layout

\begin_layout LyX-Code
rotate [<mask>] { [x <xdeg>] [y <ydeg>] [z <zdeg>]  |
\end_layout

\begin_layout LyX-Code
   	           axis0 <mask0> axis1 <mask1> <deg> |
\end_layout

\begin_layout LyX-Code
   	           usedata <set name> [inverse] }
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<mask>] Rotate atoms in <mask> (default all).
\end_layout

\begin_layout Description
[x
\begin_inset space ~
\end_inset

<xdeg] Degrees to rotate around the X axis.
\end_layout

\begin_layout Description
[y
\begin_inset space ~
\end_inset

<xdeg] Degrees to rotate around the Y axis.
\end_layout

\begin_layout Description
[z
\begin_inset space ~
\end_inset

<xdeg] Degrees to rotate around the Z axis.
\end_layout

\begin_layout Description
axis0
\begin_inset space ~
\end_inset

<mask0> Mask defining the beginning of a user-defined axis.
\end_layout

\begin_layout Description
axis1
\begin_inset space ~
\end_inset

<mask1> Mask defining the end of a user-defined axis.
\end_layout

\begin_layout Description
<deg> Value in degrees to rotate around user defined axis.
\end_layout

\begin_layout Description
usedata
\begin_inset space ~
\end_inset

<set
\begin_inset space ~
\end_inset

name> If specified, use 3x3 rotation matrices in specified data set to rotate
 coordinates.
\end_layout

\begin_layout Description
[inverse] Perform inverse rotation from input rotation matrices.
\end_layout

\end_deeper
\begin_layout Standard
Rotate specified atoms around the X, Y, and/or Z axes by the specified amounts,
 around a user-defined axis (specified by <mask0> and <mask1>), or use a
 previously read in or generated data set of 3x3 matrices to perform rotations.
\end_layout

\begin_layout Standard
For example, to rotate the entire system 90 degrees around the X axis:
\end_layout

\begin_layout LyX-Code
rotate x 90
\end_layout

\begin_layout Standard
To rotate residue 270 90 degrees around the axis defined between atoms C1,
 C2, C3, C4, C5, and C6 in residue 270 and atoms C7, C8, C9, C10, C11, and
 C12 in residue 270:
\end_layout

\begin_layout LyX-Code
rotate :270 axis0 :270@C1,C2,C3,C4,C5,C6 axis1 :270@C7,C8,C9,C10,C11,C12
 90.0
\end_layout

\begin_layout Standard
To rotate the system with rotation matrices read in from rmatrices.dat:
\end_layout

\begin_layout LyX-Code
trajin tz2.norotate.crd
\end_layout

\begin_layout LyX-Code
readdata rmatrices.dat name RM mat3x3
\end_layout

\begin_layout LyX-Code
rotate usedata RM 
\end_layout

\begin_layout Subsection
rotdif
\end_layout

\begin_layout Standard
The 
\series bold
\emph on
'rotdif'
\series default
\emph default
 command is now an analysis (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-rotdif"

\end_inset

), and requires that rotation matrices be generated via an 
\series bold
\emph on
rmsd
\series default
\emph default
 action.
 For example:
\end_layout

\begin_layout LyX-Code
reference avgstruct.pdb
\end_layout

\begin_layout LyX-Code
trajin tz2.nc
\end_layout

\begin_layout LyX-Code
rms R0 reference @CA,C,N,O savematrices 
\end_layout

\begin_layout LyX-Code
rotdif rmatrix R0[RM] rseed 1 nvecs 10 dt 0.002 tf 0.190 
\backslash

\end_layout

\begin_layout LyX-Code
       itmax 500 tol 0.000001 d0 0.03 order 2 rvecout rvecs.dat 
\backslash

\end_layout

\begin_layout LyX-Code
       rmout matrices.dat deffout deffs.dat outfile rotdif.out
\end_layout

\begin_layout Subsection
runavg | runningaverage
\end_layout

\begin_layout LyX-Code
runavg
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
runavg
\end_layout

\end_inset

 [window <window_size>]
\end_layout

\begin_layout Standard

\shape italic
Note that for backwards compatibility with ptraj 
\begin_inset Quotes eld
\end_inset

runningaverage
\begin_inset Quotes erd
\end_inset

 is also accepted.
\end_layout

\begin_layout Standard
Replaces the current frame with a running average over a number of frames
 specified by 
\series bold
window
\series default
 <window_size> (5 if not specified).
 This means that in order to build up the correct number of frames to calculate
 the average, the first <window_size> minus one frames will not be processed
 by subsequent actions.
 So for example given the input:
\end_layout

\begin_layout LyX-Code
runavg window 3
\end_layout

\begin_layout LyX-Code
rms first out rmsd.dat
\end_layout

\begin_layout Standard
the rms command will not take effect until frame 3 since that is the first
 time 3 frames are available for averaging (1, 2, and 3).
 The next frame processed would be an average of frames 2, 3, and 4, etc.
\end_layout

\begin_layout Subsection
scale
\end_layout

\begin_layout LyX-Code
scale x <sx> y <sy> z <sz> <mask>
\end_layout

\begin_layout Standard
Scale the X|Y|Z coordinates of atoms in <mask> by <sx>|<sy>|<sz>.
\end_layout

\begin_layout Subsection
secstruct
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-secstruct"

\end_inset


\end_layout

\begin_layout LyX-Code
secstruct
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
secstruct
\end_layout

\end_inset

 [<name>] [out <filename>] [<mask>] [sumout <filename>]
\end_layout

\begin_layout LyX-Code
          [assignout <filename>] [totalout <filename> [ptrajformat]
\end_layout

\begin_layout LyX-Code
          [betadetail]
\end_layout

\begin_layout LyX-Code
          [namen <N name>] [nameh <H name>] [nameca <CA name>]
\end_layout

\begin_layout LyX-Code
          [namec <C name>] [nameo <O name>] [namesg <sulfur name>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Output data set name.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file name for secondary structure vs time.
\end_layout

\begin_layout Description
[<mask>] Atom mask in which residues should be looked for.
\end_layout

\begin_layout Description
[sumout
\begin_inset space ~
\end_inset

<sumfilename>] Write average secondary structure values for each residue
 to <sumfilename>; if not specified <filename>.sum is used.
\end_layout

\begin_layout Description
[assignout
\begin_inset space ~
\end_inset

<filename>] Write overall secondary structure assignment (based on dominant
 secondary structure type for each residue) to file.
\end_layout

\begin_layout Description
[ptrajformat] Write secondary structure as a string of characters for each
 frame, similar to ptraj output.
\end_layout

\begin_layout Description
[betadetail] Record anti-parallel beta and parallel beta in place of extended
 and bridge secondary structure.
 If a residue could be both only anti-parallel is reported.
\end_layout

\begin_layout Description
[namen
\begin_inset space ~
\end_inset

<N
\begin_inset space ~
\end_inset

name>] Backbone amide nitrogen atom name (default 'N').
\end_layout

\begin_layout Description
[nameh
\begin_inset space ~
\end_inset

<H
\begin_inset space ~
\end_inset

name>] Backbone amide hydrogen atom name (default 'H').
\end_layout

\begin_layout Description
[nameca
\begin_inset space ~
\end_inset

<CA
\begin_inset space ~
\end_inset

name>] Backbone alpha carbon atom name (default 'CA').
\end_layout

\begin_layout Description
[namec
\begin_inset space ~
\end_inset

<C
\begin_inset space ~
\end_inset

name>] Backbone carbonyl carbon atom name (default 'C').
\end_layout

\begin_layout Description
[nameo
\begin_inset space ~
\end_inset

<O
\begin_inset space ~
\end_inset

name>] Backbone carbonyl oxygen atom name (default 'O').
\end_layout

\begin_layout Description
[namesg
\begin_inset space ~
\end_inset

<SG
\begin_inset space ~
\end_inset

name>] Cysteine sulfur atom name, used to ignore disulfide connectivity
 (default 'SG').
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<name>[res] Residue secondary structure per frame; index corresponds to
 residue number.
 If 
\series bold
ptrajformat
\series default
 specified these will be characters, otherwise integers (see table below).
\end_layout

\begin_layout Description
<name>[avgss] Average of each type of secondary structure; index corresponds
 to secondary structure type (see table below; no index for 
\begin_inset Quotes eld
\end_inset

None
\begin_inset Quotes erd
\end_inset

).
\end_layout

\begin_layout Description
<name>[None] Total fraction of residues with no structure vs time.
\end_layout

\begin_layout Description
<name>[Para] Total fraction of residues with parallel beta structure vs
 time.
\end_layout

\begin_layout Description
<name>[Anti] Total fraction of residues with anti-parallel beta structure
 vs time.
\end_layout

\begin_layout Description
<name>[3-10] Total fraction of 3-10 helical structure vs time.
\end_layout

\begin_layout Description
<name>[Alpha] Total fraction of alpha helical structure vs time.
\end_layout

\begin_layout Description
<name>[Pi] Total fraction of Pi helical structure vs time.
\end_layout

\begin_layout Description
<name>[Turn] Total fraction of turn structure vs time.
\end_layout

\begin_layout Description
<name>[Bend] Total fraction of bend structure vs time.
\end_layout

\end_deeper
\begin_layout Standard

\series bold
As of version 4.18.0, this command now produces output that better conforms
 with the original definitions in Kabsch and Sander 1983; namely that Extended
 beta (i.e.
 2 or more consecutive beta bridges of the same type) and beta Bridge (i.e.
 an isolated beta bridge) are now reported instead of anti-parallel and
 parallel beta.
 To restore the original behavior the 'betadetail' keyword must be specified.
\end_layout

\begin_layout Standard

\shape italic
Note that the residue and [avgss] data sets are not generated until 
\series bold
run
\series default
 is called.
\end_layout

\begin_layout Standard
Calculate secondary structural propensities for residues in 
\series bold
<mask>
\series default
 (or all solute residues if no mask given) using the DSSP method of Kabsch
 and Sander
\begin_inset CommandInset citation
LatexCommand citep
key "Kabsch83"
literal "true"

\end_inset

, which assigns secondary structure types for residues based on backbone
 amide (N-H) and carbonyl (C=O) atom positions.
 By default 
\shape italic
cpptraj
\shape default
 assumes these atoms are named 
\begin_inset Quotes eld
\end_inset

N
\begin_inset Quotes erd
\end_inset

, 
\begin_inset Quotes eld
\end_inset

H
\begin_inset Quotes erd
\end_inset

, 
\begin_inset Quotes eld
\end_inset

C
\begin_inset Quotes erd
\end_inset

, and 
\begin_inset Quotes eld
\end_inset

O
\begin_inset Quotes erd
\end_inset

 respectively.
 If a different naming scheme is used (e.g.
 amide hydrogens are named 
\begin_inset Quotes eld
\end_inset

HN
\begin_inset Quotes erd
\end_inset

) the backbone atom names can be customized with the 
\series bold
nameX
\series default
 keywords (e.g.
 'nameH HN').
 Note that it is expected that some residues will not have all of these
 atoms (such as proline); in this case 
\shape italic
cpptraj
\shape default
 will print an informational message but the calculation will proceed normally.
 If a residue has no atoms selected it will be skipped.
 When determining residue connecivity, disulfide bonds will be ignored;
 
\emph on
cpptraj
\emph default
 identifies such bonds based on the 
\series bold
namesg
\series default
 atom name (default 
\begin_inset Quotes eld
\end_inset

SG
\begin_inset Quotes erd
\end_inset

).
\end_layout

\begin_layout Standard
Results will be written to filename specified by 
\series bold
out
\series default
 with format:
\end_layout

\begin_layout LyX-Code
<#Frame>    <ResX SS> <ResX+1 SS> ...
 <ResN SS>
\end_layout

\begin_layout Standard
where <#Frame> is the frame number and <ResX SS> is an integer representing
 the calculated secondary structure type for residue X.
 If the keyword 
\series bold
ptrajformat
\series default
 is specified, the output format will instead be:
\end_layout

\begin_layout LyX-Code
<#Frame>    STRING
\end_layout

\begin_layout Standard
where STRING is a string of characters (one for each residue) where each
 character represents a different structural type (this format is similar
 to what 
\shape italic
ptraj
\shape default
 had outputed and is retained for backwards compatibility).
 The various secondary structure types and their corresponding integer/character
 are listed below.
 If 'betadetail' is specified what is reported and the characters used change
 slightly.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
STRING (betadetail)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Integer
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
DSSP
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
SS type (betadetail)
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
0
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
' '
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
None
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
E (b)
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'E'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Extended beta (parallel beta)
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
B
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'B'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Isolated beta (anti-parallel beta)
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
G
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
3
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'G'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
3-10 helix
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
H
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
4
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'H'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Alpha helix
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
I
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
5
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'I'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Pi (3-14) helix
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
T
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
6
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'T'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Turn
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
S
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
7
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
'S'
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Bend
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Standard
Average structural propensities over all frames for each residue will be
 written to the file specified by 
\series bold
sumout
\series default
 (or 
\begin_inset Quotes eld
\end_inset


\shape italic
<filename>.sum
\shape default

\begin_inset Quotes erd
\end_inset

 if 
\series bold
sumout
\series default
 is not specified).
 The total structural propensity over all residues for each secondary structure
 type will be written to the file specified by 
\series bold
totalout
\series default
.
 If assignout is specified, the overall secondary structure assignment for
 each residue will be printed in two line chunks of 50 residues, with the
 first line containing the residue number the line starts with and one character
 residue names, and the second line containing secondary structure assignment
 using DSSP-style characters, like so:
\end_layout

\begin_layout LyX-Code
1 KCNTATCATQ RLANFLVHSS NNFGAILSST NVGSNTRn
\end_layout

\begin_layout LyX-Code
    SSS   TH HHHTTSEEEE TTTEEEE SS     S 
\end_layout

\begin_layout Standard
The output of secstruct command is amenable to visualization with gnuplot.
 To generate a 2D map-style plot of secondary structure vs time, with each
 residue on the Y axis simply give the output file a 
\begin_inset Quotes eld
\end_inset

.gnu
\begin_inset Quotes erd
\end_inset

 extension.
 For example, to generate a 2D map of secondary structure vs time, with
 different colors representing different secondary structure types for residues
 1-22:
\end_layout

\begin_layout LyX-Code
secstruct :1-22 out dssp.gnu
\end_layout

\begin_layout Standard
The resulting file can be visualized with gnuplot:
\end_layout

\begin_layout LyX-Code
gnuplot dssp.gnu
\end_layout

\begin_layout Standard
Similarly, the 
\series bold
sumout
\series default
 file can be nicely visualized using xmgrace (use 
\begin_inset Quotes eld
\end_inset

.agr
\begin_inset Quotes erd
\end_inset

 extension).
\end_layout

\begin_layout LyX-Code
secstruct :1-22 out dssp.gnu sumout dssp.agr
\end_layout

\begin_layout LyX-Code
xmgrace dssp.agr
\end_layout

\begin_layout LyX-Code
C <X> <Y> <Z> <Density>
\end_layout

\begin_layout Standard
Values of 
\series bold
dgbulk
\series default
 and 
\series bold
dhbulk
\series default
 for different water models can be calculated from pure water simulations
 with the 
\series bold
purewater
\series default
 keyword.
\end_layout

\begin_layout Subsection
setvelocity
\end_layout

\begin_layout LyX-Code
setvelocity [<mask>]
\end_layout

\begin_layout LyX-Code
            [{ tempi <temperature> |
\end_layout

\begin_layout LyX-Code
               scale [factor <fac>] [sx <xfac>] [sy <yfac>] [sz <zfac>]
 |
\end_layout

\begin_layout LyX-Code
               none |
\end_layout

\begin_layout LyX-Code
               modify}]
\end_layout

\begin_layout LyX-Code
            [[ntc <#>]] [[dt <time>] [epsilon <eps>]]
\end_layout

\begin_layout LyX-Code
        	[zeromomentum] [ig <random seed>] 
\end_layout

\begin_deeper
\begin_layout Description
<mask> Mask of atoms to assign velocities to.
\end_layout

\begin_layout Description
tempi
\begin_inset space ~
\end_inset

<temperature> Assign velocities at specified temperature (default 300.0 K).
\end_layout

\begin_layout Description
scale Scale existing velocities
\end_layout

\begin_deeper
\begin_layout Description
[factor
\begin_inset space ~
\end_inset

<fac>] Factor to scale velocities by.
\end_layout

\begin_layout Description
[sx
\begin_inset space ~
\end_inset

<xfac>] Factor to scale X component of velocities by.
\end_layout

\begin_layout Description
[sy
\begin_inset space ~
\end_inset

<yfac>] Factor to scale Y component of velocities by.
\end_layout

\begin_layout Description
[sz
\begin_inset space ~
\end_inset

<zfac>] Factor to scale Z component of velocities by.
\end_layout

\end_deeper
\begin_layout Description
none Remove any velocities.
\end_layout

\begin_layout Description
modify If specified, do not set, just modify any existing velocities (via
 'ntc' or 'zeromomentum').
\end_layout

\begin_layout Description
ig
\begin_inset space ~
\end_inset

<random
\begin_inset space ~
\end_inset

seed> Random seed to use to generate velocity distribution.
\end_layout

\begin_layout Description
ntc
\begin_inset space ~
\end_inset

<#> Correct set velocities for SHAKE constraints.
 Numbers match sander/pmemd: 1 = no SHAKE, 2 = SHAKE on hydrogens, 3 = SHAKE
 on all atoms.
\end_layout

\begin_layout Description
dt
\begin_inset space ~
\end_inset

<time> Time step for SHAKE correction.
\end_layout

\begin_layout Description
epsilon
\begin_inset space ~
\end_inset

<eps> Epsilon for SHAKE correction
\end_layout

\begin_layout Description
zeromomentum If specified adjust velocities so the total momentum of atoms
 in <mask> is zero.
\end_layout

\end_deeper
\begin_layout Standard
Set velocities in frame for atoms in <mask> using Maxwellian distribution
 based on given temperature.
\end_layout

\begin_layout Subsection
spam
\end_layout

\begin_layout LyX-Code
spam [name <name>] [out <datafile>] [cut <cut>] [solv <solvname>]
\end_layout

\begin_layout LyX-Code
 	{ purewater |
\end_layout

\begin_layout LyX-Code
 	  <peaksname> [reorder] [info <infofile>] [summary <summary>]
\end_layout

\begin_layout LyX-Code
 	  [site_size <size>] [sphere] [temperature <T>]
\end_layout

\begin_layout LyX-Code
 	  [dgbulk <dgbulk>] [dhbulk <dhbulk>] } 
\end_layout

\begin_deeper
\begin_layout Description
name
\begin_inset space ~
\end_inset

<name> Output data sets name.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<datafile> Data file with all SPAM energies for each snapshot.
\end_layout

\begin_layout Description
cut
\begin_inset space ~
\end_inset

<cut> Non-bonded cutoff for energy evaluation
\end_layout

\begin_layout Description
solv
\begin_inset space ~
\end_inset

<solvname> Name of the solvent residues.
\end_layout

\begin_layout Description
[purewater] The system is pure water.
 Used to parametrize the bulk values.
 If this is specified, none of the below options are relevant.
\end_layout

\begin_layout Description
<peaksname> Data set or file (XYZ- format: see below) with the peak locations
 present .
 
\end_layout

\begin_layout Description
[reorder] The solvent should be re-ordered so the same solvent molecule
 is always in the same site.
\end_layout

\begin_layout Description
info
\begin_inset space ~
\end_inset

<infofile> File with stats about which sites are occupied when.
\end_layout

\begin_layout Description
summary
\begin_inset space ~
\end_inset

<summary> File with the summary of all SPAM results.
 If not specified, no SPAM energies will be calculated.
\end_layout

\begin_layout Description
site_size <size> Size of the water site around each density peak (sphere
 diameter/box edge length) in Ang.
\end_layout

\begin_layout Description
[sphere] Treat each site like a sphere.
\end_layout

\begin_layout Description
temperature
\begin_inset space ~
\end_inset

<T> Temperature at which SPAM calculation was run.
\end_layout

\begin_layout Description
dgbulk
\begin_inset space ~
\end_inset

<dgbulk> SPAM free energy of the bulk solvent in kcal/mol; default is -30.3
 kcal/mol (SPC/E water).
\end_layout

\begin_layout Description
dhbulk
\begin_inset space ~
\end_inset

<dhbulk> SPAM enthalpy of the bulk solvent in kcal/mol; default is -22.2
 kcal/mol (SPC/E water).
\end_layout

\begin_layout Standard
Data Sets Created for 'purewater':
\end_layout

\begin_layout Description
<name> Energies for each water at each frame.
\end_layout

\begin_layout Standard
Data Sets Created otherwise:
\end_layout

\begin_layout Description
<name>:<#> SPAM energies for peak <#> starting from 1.
\end_layout

\begin_layout Description
<name>[DG] SPAM delta G values for valid peaks.
\end_layout

\begin_layout Description
<name>[DH] SPAM delta H values for valid peaks.
\end_layout

\begin_layout Description
<name>[-TDS] SPAM -T * delta S values for valid peaks.
\end_layout

\end_deeper
\begin_layout Standard
Perform profiling of bound water molecules via SPAM analysis
\begin_inset CommandInset citation
LatexCommand citep
key "Cui2013"
literal "true"

\end_inset

.
 Briefly, this method identifies and estimates the free energy profiles
 of bound waters via calculation of the distribution of interaction energies
 between the water and it's environment from explicit solvent MD trajectories.
 The interaction energies are calculated using a force- and energy-shifted
 electrostatic term with a hard cutoff.
 For a given peak, SPAM energies will only be calculated for peaks where
 the peak is singly-occupied (i.e.
 a multiple-occupied peak is not considered valid).
\end_layout

\begin_layout Standard
Prior to this command, the 
\series bold
\emph on
volmap
\series default
\emph default
 command should be run with the 
\series bold
peakfile
\series default
 keyword (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_volmap"

\end_inset

) to generate the peaks file.
 If not using peaks from the 
\series bold
\emph on
volmap
\series default
\emph default
 command, the peaks file should have one line per peak with format:
\end_layout

\begin_layout LyX-Code
<# of peaks>
\end_layout

\begin_layout LyX-Code

\end_layout

\begin_layout LyX-Code
C     <X>      <Y>      <Z>       <Peak Density>
\end_layout

\begin_layout LyX-Code
...
\end_layout

\begin_layout Standard
With a 'C' line for each peak.
\end_layout

\begin_layout Subsection
stfcdiffusion
\end_layout

\begin_layout LyX-Code
stfcdiffusion mask <mask> [out <file>] [time <time per frame>]
\end_layout

\begin_layout LyX-Code
              [mask2 <mask> [lower <distance>] [upper <distance>]]
\end_layout

\begin_layout LyX-Code
              [nwout <file>]) [avout <file>] [distances] [com]
\end_layout

\begin_layout LyX-Code
              [x|y|z|xy|xz|yz|xyz]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
mask Atoms for which MSDs will be computed.
\end_layout

\begin_layout Description
out Output file: time vs.
 MSD.
 
\end_layout

\begin_layout Description
time Time step in the trajectory.
 (1.0 ps) 
\end_layout

\begin_layout Description
mask2 Compute MSDs only within the lower and upper limit of mask2.
 IMPORTANT: may be very slow!!! 
\end_layout

\begin_layout Description
lower Smaller distance from reference point(s).
 (0.01 Å) 
\end_layout

\begin_layout Description
upper Larger distance from reference point(s).
 (3.5 Å) 
\end_layout

\begin_layout Description
nwout Output file containing number of water molecules in the chosen region,
 see mask2.
 (off) 
\end_layout

\begin_layout Description
avout Output file containing average distances.
 (off) 
\end_layout

\begin_layout Description
x|y|z|xy|xz|yz|xyz Computation of the mean square displacement in the chosen
 dimension.
 (xyz) 
\end_layout

\begin_layout Description
distances Dump un-imaged distances.
 By default only averages are output.
 (off) 
\end_layout

\begin_layout Description
com Calculate MSD for centre of mass.
 (off)
\end_layout

\end_deeper
\begin_layout Standard
Calculate diffusion for selected atoms using code based on the 'diffusion'
 routine developed by Hannes Loeffler at STFC (http://www.stfc.ac.uk/CSE).
\end_layout

\begin_layout Subsection
strip
\end_layout

\begin_layout LyX-Code
strip
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
strip
\end_layout

\end_inset

 <mask> [nobox]
\end_layout

\begin_layout LyX-Code
  	[outprefix <prefix>] [parmout <filename>]
\end_layout

\begin_layout LyX-Code
  	[parmopts <comma-separated-list>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<mask> Remove atoms specified by mask from the system.
\end_layout

\begin_layout Description
[nobox] Remove any box information from the stripped topology.
\end_layout

\begin_layout Description
[outprefix
\begin_inset space ~
\end_inset

<prefix>] Write out stripped topology file with name '<prefix>.<Original
 Topology Name>'.
\end_layout

\begin_layout Description
[parmout
\begin_inset space ~
\end_inset

<file>] Write stripped topology to file with name <file>.
\end_layout

\begin_layout Description
[parmopts
\begin_inset space ~
\end_inset

<list>] Options for writing topology file.
\end_layout

\end_deeper
\begin_layout Standard
Strip all atoms specified by 
\series bold
<mask>
\series default
 from the frame and modify the topology to match for any subsequent Actions.
 The 
\series bold
outprefix
\series default
 keyword can be used to write stripped topologies; stripped Amber topologies
 are fully-functional.
\end_layout

\begin_layout Standard
Note that stripping a system renumbers all atoms and residues, so for example
 after this command:
\end_layout

\begin_layout LyX-Code
strip :1
\end_layout

\begin_layout Standard
residue 1 will be gone, and the former second residue will now be the first,
 and so on.
\end_layout

\begin_layout Standard
For example, to strip all residues named WAT from each topology/coordinate
 frame:
\end_layout

\begin_layout LyX-Code
strip :WAT
\end_layout

\begin_layout Standard
The next example uses a distance-based mask to strip atoms in a single frame.
 Note that with the exception of the 
\series bold
\shape italic
mask
\series default
\shape default
 command, distance-based masks do not update on a per-frame basis.
 To strip all residues outside of 6.0 from any atom in residues 1 to 14 and
 write out the stripped topology and coordinates, both with no box information:
\end_layout

\begin_layout LyX-Code
parm parm7 
\end_layout

\begin_layout LyX-Code
trajin frame_1000.rst.1
\end_layout

\begin_layout LyX-Code
reference frame_1000.rst.1
\end_layout

\begin_layout LyX-Code
strip !(:1-14<:6.0) outprefix f1.1 nobox
\end_layout

\begin_layout LyX-Code
trajout f1.1.x restart nobox
\end_layout

\begin_layout Subsection
surf
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_surf"

\end_inset


\end_layout

\begin_layout LyX-Code
surf
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
surf
\end_layout

\end_inset

 [<name>] [<mask1>] [out <filename>] [solutemask <mask>]
\end_layout

\begin_layout LyX-Code
	[offset <offset>] [nbrcut <cut>]
\end_layout

\begin_deeper
\begin_layout Description
<name> Output data set name.
\end_layout

\begin_layout Description
<mask1> Atoms to calculate surface area for.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<filename> File to write surface area to.
\end_layout

\begin_layout Description
solutemask
\begin_inset space ~
\end_inset

<mask> If specified, calculate the contribution of <mask1> to <mask>.
\end_layout

\begin_layout Description
offset
\begin_inset space ~
\end_inset

<offset> Increment van der Waals radii by <offset>; 1.4 Ang.
 is the default (as used by Amber).
\end_layout

\begin_layout Description
nbrcut
\begin_inset space ~
\end_inset

<cut> Only atoms with van der Waals radii greater than <cut> are considered
 to have neighbors (2.5 Ang Amber default).
\end_layout

\end_deeper
\begin_layout Standard
Calculate the surface area in Å
\begin_inset Formula $^{\text{2}}$
\end_inset

 of atoms in <mask> (if no mask specified, all atoms not marked as 'solvent'
 that are part of a molecule > 1 atom in size) using the LCPO algorithm
 of Weiser et al.
\begin_inset CommandInset citation
LatexCommand citep
key "Weiser99"
literal "true"

\end_inset

.
 In order for this to work, the topology needs to have bond information
 and atom type information.
 
\end_layout

\begin_layout Standard
Note that even if <mask> does not include all solute atoms, the neighbor
 list is still calculated for all solute atoms so the surface area calculated
 reflects the contribution of atoms in <mask> to the overall surface area,
 not the surface area of <mask> as an isolated system.
 As a result, it may be possible to obtain a negative surface area if only
 a small fraction of the solute is selected.
\end_layout

\begin_layout Standard
For example, to calculate the overall surface area of all solute atoms,
 as well as the contribution of residue 1 to the overall surface area, writing
 both results to 
\begin_inset Quotes eld
\end_inset

surf.dat
\begin_inset Quotes erd
\end_inset

:
\end_layout

\begin_layout LyX-Code
surf out surf.dat
\end_layout

\begin_layout LyX-Code
surf :1 out surf.dat
\end_layout

\begin_layout Subsection
symmrmsd
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_symmrmsd"

\end_inset


\end_layout

\begin_layout LyX-Code
symmrmsd  [<name>] [<mask>] [<refmask>] [out <filename>] [nofit] [mass]
 [remap]
\end_layout

\begin_layout LyX-Code
          [ first | reference | ref <name> | refindex <#> | previous |
\end_layout

\begin_layout LyX-Code
            reftraj <name> [parm <parmname> | parmindex <#>] ]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Output data set name.
\end_layout

\begin_layout Description
[<mask>] Mask of atoms to calculate RMSD for; if not specified, calculate
 for all atoms.
\end_layout

\begin_layout Description
[<refmask>] Reference mask; if not specified, use 
\series bold
<mask>
\series default
.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output data file name.
\end_layout

\begin_layout Description
[nofit] Do not perform best-fit RMSD (not recommended).
\end_layout

\begin_layout Description
[mass] Mass-weight the RMSD calculation.
\end_layout

\begin_layout Description
[remap] Re-arrange atoms according to symmetry.
 See below for more details.
\end_layout

\begin_layout Standard
Reference keywords:
\end_layout

\begin_layout Description

\series bold
first
\series default
 Use the first trajectory frame processed as reference.
\end_layout

\begin_layout Description

\series bold
reference
\series default
 Use the first previously read in reference structure (refindex 0).
\end_layout

\begin_layout Description

\series bold
ref
\begin_inset space ~
\end_inset

<name>
\series default
 Use previously read in reference structure specified by filename/tag.
\end_layout

\begin_layout Description

\series bold
refindex
\begin_inset space ~
\end_inset

<#>
\series default
 Use previously read in reference structure specified by <#> (based on order
 read in).
\end_layout

\begin_layout Description
previous Use frame prior to current frame as reference.
\end_layout

\begin_layout Description

\series bold
reftraj
\series default

\begin_inset space ~
\end_inset

<name> Use frames from COORDS set <name> or read in from trajectory file
 <name> as references.
 Each frame from <name> is used in turn, so that frame 1 is compared to
 frame 1 from <name>, frame 2 is compared to frame 2 from <name> and so
 on.
 If <trajname> runs out of frames before processing is complete, the last
 frame of <trajname> continues to be used as the reference.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
parm
\begin_inset space ~
\end_inset

<parmname>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#> If 
\series bold
reftraj
\series default
 specifies a file associate trajectory <name> with specified topology; if
 not specified the first topology is used.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Perform symmetry-corrected RMSD calculation.
 This is done by identifying potential symmetric atoms in each residue,
 performing an initial best-fit, then determining which configuration of
 symmetric atoms will give the lowest RMSD using atomic distance to reference
 atoms.
 
\end_layout

\begin_layout Standard

\series bold
Note that when re-mapping, all atoms in the residues of interest should
 be selected to prevent cases where selected symmetric atoms are swapped
 but the atoms they are bonded to are not
\series default
.
 Also, occasionally larger symmetric structures (e.g.
 6 membered rings) may become distorted due to only part of the residue
 being corrected for symmetry.
 This appears to happen about 4% of the time but does not overly inflate
 the RMSD.
 The 
\series bold
\shape italic
'check'
\series default
\shape default
 command can be used after 
\series bold
\shape italic
symmrmsd
\series default
\shape default
 to look for such distortions.
\end_layout

\begin_layout Standard
Warning: the symmetry correction is generally robust enough to account for
 symmetries in the standard amino and nucleic acid residues, but has not
 been extensively tested on residues with more extended types of symmetry.
\end_layout

\begin_layout Subsection
temperature
\end_layout

\begin_layout LyX-Code
temperature [<name>] [out <filename>]
\end_layout

\begin_layout LyX-Code
            { frame |
\end_layout

\begin_layout LyX-Code
              [<mask>] [ntc <#>] [update] [remove {trans|rot|both}]
\end_layout

\begin_layout LyX-Code
            }
\end_layout

\begin_deeper
\begin_layout Description
[<name>] Data set name.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write values to.
\end_layout

\begin_layout Description
frame Do not calculate temperature; use existing frame temperature.
\end_layout

\begin_layout Description
[<mask>] Atoms to calculate temperature for.
\end_layout

\begin_layout Description
[ntc
\begin_inset space ~
\end_inset

<#>] Value of SHAKE bond constraint: 1 - none, 2 - bonds to H, 3- all bonds
 (equivalent to SANDER/PMEMD).
\end_layout

\begin_layout Description
[update] Update temperature in Frames with calculated temperatures.
\end_layout

\begin_layout Description
[remove
\begin_inset space ~
\end_inset

{trans|rot|both}] Correct for removed translational, rotational, or both
 kinds of degrees of freedom.
\end_layout

\end_deeper
\begin_layout Standard
Calculate temperature in frame based on velocity information.
 If '
\series bold
update
\series default
' is specified, update frame temperature too.
 If '
\series bold
frame
\series default
' is specified just use frame temperature (e.g.
 read in from a REMD trajectory).
\end_layout

\begin_layout Standard
The 'ntc' keyword can be used to correct for lost degrees of freedom due
 to SHAKE constraints (2 = bonds to hydrogen, 3 = all bonds).
 The 'remove' keyword can be used to account for removed translational and/or
 rotational degrees of freedom.
\end_layout

\begin_layout Standard
For example, if using a trajectory that has been generated with SHAKE on
 hydrogens, no periodic boundary conditions (i.e.
 no box), and has had the center of mass periodically removed:
\end_layout

\begin_layout LyX-Code
temperature T1 ntc 2 remove both out T1.dat
\end_layout

\begin_layout Standard
If using a trajectory that has been generated with SHAKE on hydrogens, periodic
 boundary conditions (i.e.
 with a box), and has had the center of mass periodically removed:
\end_layout

\begin_layout LyX-Code
temperature T1 ntc 2 remove trans out T1.dat
\end_layout

\begin_layout Standard
If using a trajectory that has been generated with SHAKE on all bonds, periodic
 boundary conditions, and no center of mass motion removal:
\end_layout

\begin_layout LyX-Code
temperature T1 ntc 3 out T1.dat
\end_layout

\begin_layout Subsection
time
\end_layout

\begin_layout LyX-Code
time {time0 <initial time> dt <step> [update] | remove}
\end_layout

\begin_deeper
\begin_layout Description
time0
\begin_inset space ~
\end_inset

<initial
\begin_inset space ~
\end_inset

time> Time of the first frame (ps).
\end_layout

\begin_layout Description
dt
\begin_inset space ~
\end_inset

<step> Time step between frames (ps).
\end_layout

\begin_layout Description
[update] If specified, modify any existing time info.
\end_layout

\begin_layout Description
remove Remove any time info from frame.
\end_layout

\end_deeper
\begin_layout Standard
Either add time information to frames, modify existing time information
 in frames, or remove existing time information from frames.
 Note that currently COORDS data sets do not store time information, so
 using this command with the 
\series bold
\emph on
crdaction
\series default
\emph default
 command will have no effect.
\end_layout

\begin_layout Subsection
trans | translate
\end_layout

\begin_layout LyX-Code
translate [<mask>] [x <dx>] [y <dy>] [z <dz>]
\end_layout

\begin_layout Standard
Translate atoms in 
\series bold
<mask>
\series default
 (all atoms if no mask specified) 
\series bold
<dx>
\series default
 Å in the X direction, 
\series bold
<dy>
\series default
 Å in the Y direction, and 
\series bold
<dz>
\series default
 Å in the Z direction.
\end_layout

\begin_layout Subsection
unstrip
\end_layout

\begin_layout LyX-Code
unstrip
\begin_inset Index idx
status open

\begin_layout Plain Layout
unstrip
\end_layout

\end_inset


\end_layout

\begin_layout Standard
Requests that the original topology and frame be used for all following
 actions.
 This has the effect of undoing any command that modifies the state (such
 as strip).
 For example, the following code takes a solvated complex and uses a combination
 of strip, unstrip, and outtraj commands to write out separate dry complex,
 receptor, and ligand files:
\end_layout

\begin_layout LyX-Code
parm Complex.WAT.pdb
\end_layout

\begin_layout LyX-Code
trajin Complex.WAT.pdb
\end_layout

\begin_layout LyX-Code
# Remove water, write complex
\end_layout

\begin_layout LyX-Code
strip :WAT
\end_layout

\begin_layout LyX-Code
outtraj Complex.pdb pdb
\end_layout

\begin_layout LyX-Code
# Reset to solvated Complex
\end_layout

\begin_layout LyX-Code
unstrip
\end_layout

\begin_layout LyX-Code
# Remove water and ligand, write receptor
\end_layout

\begin_layout LyX-Code
strip :WAT,LIG
\end_layout

\begin_layout LyX-Code
outtraj Receptor.pdb pdb
\end_layout

\begin_layout LyX-Code
# Reset to solvated Complex
\end_layout

\begin_layout LyX-Code
unstrip
\end_layout

\begin_layout LyX-Code
# Remove water and receptor, write ligand
\end_layout

\begin_layout LyX-Code
strip :WAT
\end_layout

\begin_layout LyX-Code
strip !(:LIG)
\end_layout

\begin_layout LyX-Code
outtraj Ligand.pdb pdb
\end_layout

\begin_layout Subsection
unwrap
\end_layout

\begin_layout LyX-Code
unwrap [center] [{bymol | byres | byatom}]
\end_layout

\begin_layout LyX-Code
       [ reference | ref <name> | refindex <#> ] [<mask>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[center] Unwrap by center of mass; otherwise unwrap by first atom position.
\end_layout

\begin_layout Description
bymol Unwrap by molecule (default).
\end_layout

\begin_layout Description
byres Unwrap by residue.
\end_layout

\begin_layout Description
byatom Unwrap by atom.
\end_layout

\begin_layout Description
[
\begin_inset space ~
\end_inset

reference
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ref
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

refindex
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

] Reference structure to use in unwrapping.
\end_layout

\begin_layout Description
[<mask>] Selection to unwrap.
\end_layout

\end_deeper
\begin_layout Standard
Under periodic boundary conditions, MD trajectories are not continuous if
 molecules are wrapped(imaged) into the central unit cell.
 Especially, in sander, with 
\emph on
iwrap
\emph default
=1, molecular trajectories become discontinuous when a molecule crosses
 the boundary of the unit cell.
 This command, 
\family sans
\series bold
unwrap
\family default
\series default
 processes the trajectories to force the 
\shape italic
mask
\shape default
ed molecules continuous by translating the molecules into the neighboring
 unit cells.
 It is the opposite function of 
\family sans
\series bold
image
\family default
\series default
, but this command can also be used to place molecules side by side, for
 example, two strands of a DNA duplex.
 However, this command fails when the 
\shape italic
mask
\shape default
ed molecules travel more than half of the box size within a single frame.
\end_layout

\begin_layout Standard
If the optional argument 
\begin_inset Quotes eld
\end_inset


\family typewriter
reference
\family default

\begin_inset Quotes erd
\end_inset

 is specified, then the first frame is unwrapped according to the reference
 structure.
 Otherwise, the first frame is not modified.
\end_layout

\begin_layout Standard
As an example, assume that :1-10 is the first strand of a DNA duplex and
 :11-20 is the other strand of the duplex.
 Then the following commands could be used to create system where the two
 strands are not separated artificially:
\end_layout

\begin_layout LyX-Code
unwrap :1-20
\end_layout

\begin_layout LyX-Code
center :1-20 mass origin
\end_layout

\begin_layout LyX-Code
image origin center familiar
\end_layout

\begin_layout Subsection
vector
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-vector"

\end_inset


\end_layout

\begin_layout LyX-Code
vector [<name>] <Type> [out <filename> [ptrajoutput]] [<mask1>] [<mask2>]
\end_layout

\begin_layout LyX-Code
   	[magnitude] [ired]
\end_layout

\begin_layout LyX-Code
       <Type> = { mask     | minimage  | dipole | center   | corrplane |
\end_layout

\begin_layout LyX-Code
                  box      | boxcenter | ucellx | ucelly   | ucellz
\end_layout

\begin_layout LyX-Code
   	           momentum | principal [x|y|z]  | velocity | force }
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<name>] Vector data set name.
\end_layout

\begin_layout Description
<Type> Vector type; see below.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write vector data to 
\series bold
<filename>
\series default
 with format 'Vx Vy Vz Ox Oy Oz' where V denotes vector coordinates and
 'O' denotes origin coordinates.
\end_layout

\begin_layout Description
[ptrajoutput] Write vector data in 
\shape italic
ptraj
\shape default
 style (Vx Vy Vz Ox Oy Oz Vx+Ox Vy+Oy Vz+Oz).
 This prevents additional formatting of 
\series bold
<filename>
\series default
 and is not compatible with 
\series bold
'magnitude'
\series default
.
\end_layout

\begin_layout Description
[<mask1>] Atom mask, required for all types except 
\series bold
'box'
\series default
.
\end_layout

\begin_layout Description
[<mask2>] Second atom mask, only required for type 
\series bold
'mask'
\series default
.
\end_layout

\begin_layout Description
[magnitude] Store the magnitude of the vector with aspect [Mag].
\end_layout

\begin_layout Description
[ired] Mark this vector for subsequent IRED analysis with commands 'matrix
 ired' and 'ired'.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<name> Vector data set.
\end_layout

\begin_layout Description
<name>[Mag] (
\series bold
magnitude
\series default
 only) Vector magnitude.
\end_layout

\end_deeper
\begin_layout Standard
This command will keep track of a vector value (and its origin) over the
 trajectory; the data can be referenced for later use based on the 
\shape italic
name
\shape default
 (which must be unique).
 The types of vectors that can be calculated are:
\end_layout

\begin_layout Description
mask (Default) Store vector from center of mass of atoms in 
\series bold
<mask1>
\series default
 to atoms in 
\series bold
<mask2>
\series default
.
\end_layout

\begin_layout Description
minimage Store minimum-imaged vector from center of mass of atoms in 
\series bold
<mask1>
\series default
 to atoms in 
\series bold
<mask2>
\series default
.
\end_layout

\begin_layout Description
dipole Store the dipole and center of mass of the atoms specified in 
\series bold
<mask1>
\series default
.
 The vector is not converted to appropriate units, nor is the value well-defined
 if the atoms in the mask are not overall charge neutral.
\end_layout

\begin_layout Description
center Store the center of mass of atoms in 
\series bold
<mask1>
\series default
.
 The reference point is the origin (0.0, 0.0, 0.0).
\end_layout

\begin_layout Description
corrplane This defines a vector perpendicular to the (least-squares best)
 plane through the atoms in 
\series bold
<mask1>
\series default
.
 The reference point is the center of mass of atoms in 
\series bold
<mask1>
\series default
.
\end_layout

\begin_layout Description
box (No mask needed) Store the box lengths of the trajectory.
 The reference point is the origin (0.0, 0.0, 0.0).
 
\end_layout

\begin_layout Description
boxcenter (No mask needed) Store the center of the box as a vector.
\end_layout

\begin_layout Description
ucell{x|y|z}: (No mask needed) Store specified unit cell (i.e.
 box) vector.
\end_layout

\begin_layout Description
momentum Store momentum of atoms selected by <mask1> (requires velocities).
\end_layout

\begin_layout Description
principal
\begin_inset space ~
\end_inset

[x|y|z] Store one of the principal axis vectors determined by diagonalization
 of the inertial matrix from the coordinates of the atoms specified by 
\series bold
<mask1>
\series default
.
 The eigenvector with the largest eigenvalue is considered 
\begin_inset Quotes eld
\end_inset


\family typewriter
x
\family default

\begin_inset Quotes erd
\end_inset

 (i.e., the hardest axis to rotate around) and the eigenvector with the smallest
 eigenvalue is considered 
\begin_inset Quotes eld
\end_inset


\family typewriter
z
\family default

\begin_inset Quotes erd
\end_inset

.
 If none of 
\family typewriter
x
\family default
 or 
\family typewriter
y
\family default
 or 
\family typewriter
z
\family default
 are specified, then the 
\begin_inset Quotes eld
\end_inset

x
\begin_inset Quotes erd
\end_inset

 principal axis is stored.
 The reference point is the center of mass of atoms in 
\series bold
<mask1>
\series default
.
\end_layout

\begin_layout Description
velocity Store velocity of atoms in <mask1> (requires velocities).
\end_layout

\begin_layout Description
force Store force of atoms in <mask1> (requires forces).
\end_layout

\begin_layout Standard
Cpptraj supports writing out vector data in a pseudo-trajectory format for
 easy visualization.
 Once a vector data set has been generated the writedata command can be
 used with the vectraj keyword (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:Datafile-Commands"

\end_inset

 for more details) to write a pseudo trajectory consisting of two atoms,
 one for the vector origin and one for the vector from the origin (i.e.
 V+O).
 For example, to create a MOL2 containing a pseudo-trajectory of the minimum-ima
ged vector from residue 4 to residue 11:
\end_layout

\begin_layout LyX-Code
trajin tz2.nc
\end_layout

\begin_layout LyX-Code
vector v8 minimage out v8.dat :4 :11 
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
writedata v8.mol2 vectraj v8 trajfmt mol2 
\end_layout

\begin_layout Standard
Auto-correlation or cross-correlation functions can be calculated subsequently
 for vectors using either the 
\series bold
\emph on
corr
\series default
\emph default
 analysis command or the 
\series bold
\shape italic
timecorr
\series default
\shape default
 analysis command (to calculate via spherical harmonic theory).
\end_layout

\begin_layout Subsection
velocityautocorr
\end_layout

\begin_layout LyX-Code
velocityautocorr [<set name>] [<mask>] [usevelocity] [out <filename>] [diffout
 <file>]
\end_layout

\begin_layout LyX-Code
                 [maxlag <frames>] [tstep <timestep>] [direct] [norm]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[<set
\begin_inset space ~
\end_inset

name>] Data set name.
\end_layout

\begin_layout Description
[<mask>] Atoms(s) to calculate velocity autocorrelation (VAC) function for.
\end_layout

\begin_layout Description
[usevelocity] Use velocity information in frame if present.
 This will only give sensible results if the velocities are recorded close
 to the order of the simulation time step.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write VAC function to <filename>.
\end_layout

\begin_layout Description
[diffout
\begin_inset space ~
\end_inset

<file>] File to write diffusion constants to.
\end_layout

\begin_layout Description
[maxlag
\begin_inset space ~
\end_inset

<frames>] Maximum lag in frames to calculate VAC function for.
 Default is half the total number of frames.
\end_layout

\begin_layout Description
[tstep
\begin_inset space ~
\end_inset

<timestep>] Time between frames in ps (default 1.0).
\end_layout

\begin_layout Description
[direct] Calculate VAC function directly instead of via FFT (will be much
 slower).
\end_layout

\begin_layout Description
[norm] Normalize resulting VAC function to 1.0.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[D] Diffusion constant calculated from integral over VAC function in 1x10
\begin_inset script superscript

\begin_layout Plain Layout
-5
\end_layout

\end_inset

 cm
\begin_inset script superscript

\begin_layout Plain Layout
2
\end_layout

\end_inset

/s.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the velocity autocorrelation (VAC) function averaged over the
 atoms in <mask>.
 Pseudo-velocities are calculated using coordinates and the specified time
 step.
 As with all time correlation functions the statistical noise will increase
 if the maximum lag is greater than half the total number of frames.
 In addition to calculating the velocity autocorrelation function, the self-diff
usion coefficient will be reported in the output, calculated from the integral
 over the VAC function.
\end_layout

\begin_layout Subsection
volmap
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_volmap"

\end_inset


\end_layout

\begin_layout LyX-Code
volmap [out <filename>] <mask> [radscale <factor>] [stepfac <fac>]
\end_layout

\begin_layout LyX-Code
   	[sphere] [radii {vdw | element}] [splinedx <spacing>]
\end_layout

\begin_layout LyX-Code
   	[calcpeaks] [peakcut <cutoff>] [peakfile <xyzfile>]
\end_layout

\begin_layout LyX-Code
   	{ data <existing set> |
\end_layout

\begin_layout LyX-Code
   	  name <setname> <dx> [<dy> <dz>]
\end_layout

\begin_layout LyX-Code
 	      { size <x,y,z> [center <x,y,z>] |
\end_layout

\begin_layout LyX-Code
   	      centermask <mask> [buffer <buffer>] |
\end_layout

\begin_layout LyX-Code
   	      boxref <reference> } 	}
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\family roman
out
\begin_inset space ~
\end_inset

<filename> 
\family default
The name of the output file with the grid density.
\end_layout

\begin_layout Description

\family roman
<mask> 
\family default
The atom selection from which to calculate the number density.
\end_layout

\begin_layout Description

\family roman
radscale
\begin_inset space ~
\end_inset

<factor> 
\family default
Factor by which to scale radii (by division).
 To match the atomic radius of Oxygen used by the VMD volmap tool, a scaling
 factor of 1.36 should be used.
 Default 1.0.
\end_layout

\begin_layout Description
stepfac
\begin_inset space ~
\end_inset

<factor> Factor for determining how many voxels to smear Gaussian (default
 4.1, 1.0 for 
\series bold
sphere
\series default
).
\end_layout

\begin_layout Description
sphere When smearing Gaussian, skip voxels farther than radii/2.
\end_layout

\begin_layout Description
radii
\begin_inset space ~
\end_inset

{vdw|element} Specify either van der Waals radii (default) or elemental
 radii.
\end_layout

\begin_layout Description
splinedx
\begin_inset space ~
\end_inset

<spacing> Spacing to use for cubic spline interpolation (default 0.01 Ang.).
\end_layout

\begin_layout Description
calcpeaks If specified, peaks in the grid density will be calculated and
 saved to set <setname> with aspect 
\begin_inset Quotes eld
\end_inset

peaks
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Description

\family roman
peakcut
\begin_inset space ~
\end_inset

<cutoff> 
\family default
The minimum density required to consider a local maximum a 'density peak'
 in the outputted peak file (default 0.05).
\end_layout

\begin_layout Description

\family roman
peakfile
\begin_inset space ~
\end_inset

<xyzfile> 
\family default
A file in XYZ-format that contains a carbon atom centered at the grid point
 of every local density maximum.
 This file is necessary input to the spam action command.
\end_layout

\begin_layout Description
data
\begin_inset space ~
\end_inset

<setname> Name of existing grid data set to use.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<setname> Name of grid set that will be created (
\series bold
size/center
\series default
 or 
\series bold
centermask/buffer
\series default
 keywords).
\end_layout

\begin_layout Description

\family roman
dx,
\begin_inset space ~
\end_inset

dy,
\begin_inset space ~
\end_inset

dz 
\family default
The grid spacing (Angstroms) in the X-, Y-, and Z-dimensions, respectively.
\end_layout

\begin_layout Description

\family roman
size
\begin_inset space ~
\end_inset

<x,y,z> 
\family default
Specify the size of the grid in the X-, Y-, and Z-dimensions.
 Must be used alongside the center argument.
\end_layout

\begin_deeper
\begin_layout Description

\family roman
center
\begin_inset space ~
\end_inset

<x,y,z> 
\family default
Specify the grid center explicitly.
 Note, the size argument must be present in this case.
 Default is the origin.
\end_layout

\end_deeper
\begin_layout Description

\family roman
centermask
\begin_inset space ~
\end_inset

<mask> 
\family default
The mask around which the grid should be centered (via geometric center).
 If this is omitted and the center and size are not specified, the default
 <mask> entered (see above) is used in its place.
\end_layout

\begin_deeper
\begin_layout Description

\family roman
buffer
\begin_inset space ~
\end_inset

<buffer> 
\family default
A buffer distance, in Angstroms, by which the edges of the grid should clear
 every atom of the centermask (or default mask if centermask is omitted)
 in every direction.
 The default value is 3.
 The buffer is ignored if the center and size are specified (see below).
\end_layout

\end_deeper
\begin_layout Description
boxref
\begin_inset space ~
\end_inset

<reference> Set up the grid using the unit cell info in the specified reference.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<setname> The 3D grid.
\end_layout

\begin_layout Description
<setname>[peaks] The density peaks if 
\series bold
calcpeaks
\series default
 specified.
\end_layout

\end_deeper
\begin_layout Standard
Grid data as a volumetric map, similar to the 'volmap' command in VMD.
 The density is calculated by treating each atom as a 3-dimensional Gaussian
 function whose standard deviation is equal to the van der Waals radius.
 The density calculated is the number density averaged over the entire simulatio
n.
 The grid can be specified in one of three ways:
\end_layout

\begin_layout Enumerate
An existing grid data set (from e.g.
 bounds), specified with the 
\series bold
data
\series default
 keyword.
\end_layout

\begin_layout Enumerate
Via the sizes and center specified by the 
\series bold
size
\series default
 and 
\series bold
center
\series default
 keywords (comma-separated strings, e.g.
 '20,20,20').
\end_layout

\begin_layout Enumerate
Centered on the atoms in the mask given by 
\series bold
centermask
\series default
 with an additional buffer in each direction specified by 
\series bold
buffer
\series default
.
\end_layout

\begin_layout Standard
The calculation is sped up by using cubic splines to interpolate the exponential
 function when calculating the Gaussians.
\begin_inset CommandInset citation
LatexCommand citep
key "Roe2021"
literal "true"

\end_inset


\end_layout

\begin_layout Subsection
volume
\end_layout

\begin_layout LyX-Code
volume [<name>] [out <filename>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<name> Data set name.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<filename> Output file name.
\end_layout

\end_deeper
\begin_layout Standard
Calculate unit cell volume.
\end_layout

\begin_layout Subsection
watershell
\end_layout

\begin_layout LyX-Code
watershell <solutemask> [out <filename>] [lower <lower cut>] [upper <upper
 cut>]
\end_layout

\begin_layout LyX-Code
           [noimage] [<solventmask>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<solutemask> Atom mask corresponding to solute of interest (required).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output file name.
\end_layout

\begin_layout Description
[lower
\begin_inset space ~
\end_inset

<lower
\begin_inset space ~
\end_inset

cut>] Cutoff for the first water shell (default 3.4 Angstroms).
\end_layout

\begin_layout Description
[upper
\begin_inset space ~
\end_inset

<upper
\begin_inset space ~
\end_inset

cut>] Cutoff for the second water shell (default 5.0 Angstroms).
\end_layout

\begin_layout Description
[noimage] Do not image distances.
\end_layout

\begin_layout Description
[<solventmask>] Optional atom mask corresponding to solvent.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[lower] Number of solvent molecules in first solvent shell.
\end_layout

\begin_layout Description
[upper] Number of solvent molecules in second solvent shell.
\end_layout

\end_deeper
\begin_layout Standard
This option will count the number of waters within a certain distance of
 the atoms in the <solutemask> in order to represent the first and second
 solvation shells.
 The optional <solventmask> can be used to consider other atoms as the solvent;
 the default is 
\begin_inset Quotes eld
\end_inset

:WAT
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Standard
This action is often used prior to the 
\series bold
\shape italic
closest
\series default
\shape default
 command in order to determine how many waters around a solute should be
 retained to maintain the first and/or second water shells.
\end_layout

\begin_layout Standard
As of version 17 this command is CUDA-enabled in CUDA versions of CPPTRAJ.
\end_layout

\begin_layout Subsection
xtalsymm
\end_layout

\begin_layout LyX-Code
xtalsymm <mask> group <space group> [collect [centroid]]
\end_layout

\begin_layout LyX-Code
     	[ first | reference | ref <name> | refindex <#> ]
\end_layout

\begin_layout LyX-Code
     	[na <na>] [nb <nb>] [nc <nc>]
\end_layout

\begin_deeper
\begin_layout Description
<mask> Atom mask defining the asymmetric unit within the larger system (required
).
\end_layout

\begin_layout Description
group
\begin_inset space ~
\end_inset

<space
\begin_inset space ~
\end_inset

group> The space group to which the system belongs.
 Omit spaces in the name.
 Example: 
\begin_inset Quotes eld
\end_inset

P22(1)2(1)
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Description
[collect] Optional flag to have all solvent particles, not just the asymmetric
 units, re-imaged.
 This will trigger cpptraj to compute the unit cell volume that constitutes
 the aymmetric unit and thereby classify all particles for re-imaging.
\end_layout

\begin_deeper
\begin_layout Description
[centroid] If specified along with 
\series bold
collect
\series default
, re-image solvent molecules by centroids, not individual atom coordinates.
 This is useful for keeping water molecules intact.
\end_layout

\end_deeper
\begin_layout Description
[first
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

reference
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

ref
\begin_inset space ~
\end_inset

<name>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

refindex
\begin_inset space ~
\end_inset

<#>] Reference structure to use for determining crystal symmetry.
\end_layout

\begin_layout Description
[na
\begin_inset space ~
\end_inset

<na>]
\begin_inset space ~
\end_inset

[nb
\begin_inset space ~
\end_inset

<nb>]
\begin_inset space ~
\end_inset

[nc
\begin_inset space ~
\end_inset

<nc>] The number of times the crystal unit cell is replicated along the
 “a,” “b,” or “c” axes (for orthorhombic unti cells, these are the x, y,
 and z axes) of the simulation; default is 1.
 Many crystal unit cells are too small in one or more dimensions for our
 simulation cutoffs, and replicating the unit cell is an effective way to
 counter imaging artifacts even for larger unit cells.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the optimal approach for superimposing symmetry-related subunits
 of the simulation back onto one another.
 The calculation assumes that the system is a simulation of an X-ray structure
 in its native crystal lattice, finds all copies of the asymmetric unit
 among the entire system, and devises plans for re-imagining their coordinates
 to superimpose them back on the original asymmetric unit.
 The space group information can be found in a PDB X-ray structure used
 as the initial coordinates for a simulation.
 All 230 space groups are supported, and a scan of the PDB was made to ensure
 that common variants of the names are included (P2(1)22(1) is the same
 as P22(1)2(1), but with different axis conventions).
 If your space group is not understood, contact the Amber mailing list.
 This command is compute intensive, especially for simulations that are
 “supercells” containing many crystallographic unit cells.
\end_layout

\begin_layout Standard
This command will cause cpptraj to locate all asymmetric units from within
 the topology, then determine what wrapping, if any, has occurred in order
 to bring about an optimal re-alignment based on the space group symmetry
 operations.
 The user need not worry about wrapping or drift of the simulation over
 time–the asymmetric units will be re-imaged frame by frame.
 Coordinate modifications due to this action are permanent and will affect
 the results of subsequent actions and analyses.
\end_layout

\begin_layout Section
Analysis Commands
\end_layout

\begin_layout Standard
Analyses in 
\emph on
cpptraj
\emph default
 operate on data sets which have been generated by Actions in a prior Run
 or read in with a 
\series bold
\emph on
readdata
\series default
\emph default
 command (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_readdata"

\end_inset

).
 Unlike 
\emph on
ptraj
\emph default
, Analysis commands in 
\emph on
cpptraj
\emph default
 do not need to be prefaced with 
\family typewriter
'analysis'
\family default
.
 The exception to this is '
\series bold
\emph on
analyze matrix
\series default
\emph default
' in order to differentiate it from the 
\series bold
\emph on
matrix
\series default
\emph default
 Action command; users are encouraged to use the new command 
\series bold
\emph on
diagmatrix
\series default
\emph default
 instead.
\end_layout

\begin_layout Standard
Like Actions, when an Analysis command is issued it is by default added
 to the Analysis queue and is not executed until after trajectory processing
 is completed; a complete list of data sets available for analysis is shown
 after trajectory processing (prefaced by 'DATASETS') or can be shown with
 the '
\series bold
\emph on
list dataset
\series default
\emph default
' command.
 Analyses can also be executed immediately via the 
\series bold
\emph on
runanalysis
\series default
\emph default
 command (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_runanalysis"

\end_inset

).
\end_layout

\begin_layout Standard
Note that for Analysis commands that use COORDS data sets, if no COORDS
 data set is specified then a default one will be automatically created
 from frames read in by 
\series bold
\emph on
trajin
\series default
\emph default
 commands.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="47" columns="3">
<features islongtable="true" longtabularalignment="center">
<column alignment="center" valignment="top" width="25text%">
<column alignment="center" valignment="top" width="50text%">
<column alignment="center" valignment="top" width="25text%">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Command
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Description
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\series bold
Set Type(s)
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
autocorr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate autocorrelation function for multiple data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D sclar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
avg
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate average, standard deviation, min, and max for (or over) data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
calcstate
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate states based on given data sets and criteria.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
cluster
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform cluster analysis.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
COORDS, N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
corr,
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate auto or cross correlation for 1 or 2 data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1D scalar, vector
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
 correlationcoe
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
cphstats
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate statistics for constant pH data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
pH data sets
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
crank, 
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate crankshaft motion between two data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
crankshaft
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
crdfluct
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate atomic fluctuations (RMSF) for atoms over time blocks.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
COORDS
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
crosscorr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate a matrix of Pearson product-moment 
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
coefficients between given data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
curvefit
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform non-linear curve fitting on given data set.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
diagmatrix
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate eigenvectors and eigenvalues from given symmetric matrix.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
symmetric matrix
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
divergence
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate Kullback-Leibler divergence between two data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
evalplateau
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Evaluate whether the data in a 1D set has reached a single exponential plateau.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
FFT
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform a fast Fourier transform on data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
hausdorff
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate the Hausdorff distance for given matrix data set(s).
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 2D matrices
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
hist, histogram
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate N-dimensional histogram for N given data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
integrate
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform integration on each of the given data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
ired
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform isotropic reorientational eigenmode dynamics
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N IRED vectors
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
 analysis using given IRED vectors.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
kde
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate 1D histogram from given data set using a kernel density estimator.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1 or 2 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Also time-dependent Kullback-Leibler divergence analysis with another set.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
lifetime
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform lifetime analysis on given data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
lowestcurve
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
For each given data set, calculate a curve that traces 
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
the lowest N points over specified bins.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
meltcurve
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate a melting curve from given data sets assuming simple 2 state kinetics.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
modes
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform various analyses on eigenmodes (from e.g.
 
\series bold
\emph on
diagmatrix
\series default
\emph default
).
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
eigenmodes
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
multicurve
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform non-linear curve fitting for multiple input data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
multihist
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate 1D histograms (optionally with a kernel
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
 density estimator) from multiple input data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
phipsi
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate and plot the average phi and psi values from input dihedral data
 sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N phi/psi dihedrals
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
regress
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform linear regression on multiple input data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
remlog
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate various statistics from a replica log data set.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
replica log
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
rms2d, 2drms
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate 2D RMSD between frames in 1 or 2 COORDS data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1 or 2 COORDS
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
rmsavgcorr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate RMS average correlation curve for a COORDS data set.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
COORDS
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
rotdif
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate rotational diffusion using given rotation matrices (from e.g.
 
\series bold
\emph on
rms
\series default
\emph default
).
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
rotation matrices
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
runningavg
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate running average for given data sets using given window size.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
spline
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate cubic splines for given data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
stat, statistics
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate various statistics for given data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
ti
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Peform Gaussian quadrature integration for given DV/DL data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
N 1D scalar
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
timecorr
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Calculate auto/cross-correlation functions for given
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
1 or 2 vector
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
 vector(s) using spherical harmonics.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
vectormath
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform math on given vector data sets.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
2 vector
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
wavelet
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
Perform wavelet analysis on coordinates from given COORDS set.
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
COORDS
\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\begin_layout Subsection
autocorr
\end_layout

\begin_layout LyX-Code
autocorr [name <dsetname>] <dsetarg0> [<dsetarg1> ...] [out <filename>]
\end_layout

\begin_layout LyX-Code
         [lagmax <lag>] [nocovar] [direct]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
<dsetarg0>
\begin_inset space ~
\end_inset

[dsetarg1>
\begin_inset space ~
\end_inset

...]
\series default
 Argument(s) specifying datasets to be used.
\end_layout

\begin_layout Description

\series bold
[name
\begin_inset space ~
\end_inset

<dsetname>]
\series default
 Store results in dataset(s) named <dsetname>:X.
\end_layout

\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<filename
\series default
>
\series bold
]
\series default
 Write results to file named <filename>.
\end_layout

\begin_layout Description

\series bold
[lagmax]
\series default
 Maximum lag to calculate for.
 If not specified all frames are used.
\end_layout

\begin_layout Description

\series bold
[nocovar]
\series default
 Do not calculate covariance.
\end_layout

\begin_layout Description

\series bold
[direct]
\series default
 Do not use FFTs to calculate correlation; this will be much slower.
\end_layout

\end_deeper
\begin_layout Standard

\shape italic
This is for integer/double/float datasets only; for vectors see the 
\series bold
'timecorr'
\series default
 command.
\end_layout

\begin_layout Standard
Calculate auto-correlation (actually auto-covariance by default) function
 for datasets specified by one or more dataset arguments.
 The datasets must have the same # of data points.
\end_layout

\begin_layout Subsection
avg
\end_layout

\begin_layout LyX-Code
avg <dset0> [<dset1> ...] [torsion] [out <file>] [oversets]
\end_layout

\begin_layout LyX-Code
    [name <name>] [nostdout]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<dsetX> Data set(s) to calculate the average for.
\end_layout

\begin_layout Description
[torsion] If the data sets are not already marked periodic (e.g.
 if read in via 'readdata'), treat them as periodic torsion.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to write results to.
\end_layout

\begin_layout Description
[oversets] If specified, calculate the average over all inpout sets instead
 of each input set.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<name>] Output data set name.
\end_layout

\begin_layout Description
[nostdout] If 'nostdout' specified do not write averages to STDOUT when
 'out' not specified.
\end_layout

\begin_layout Standard
DataSets Created (not 
\series bold
oversets
\series default
):
\end_layout

\begin_layout Description
<name>[avg] Average of each set.
\end_layout

\begin_layout Description
<name>[sd] Standard deviation of each set.
\end_layout

\begin_layout Description
<name>[ymin] Y minimum of each set.
\end_layout

\begin_layout Description
<name>[ymax] Y maximum of each set.
\end_layout

\begin_layout Description
<name>[yminidx] Index of minimum Y value.
\end_layout

\begin_layout Description
<name>[ymaxidx] Index of maximum Y value.
\end_layout

\begin_layout Description
<name>[names] Name of each set.
\end_layout

\begin_layout Standard
DataSets Created (oversets)
\end_layout

\begin_layout Description
<name> Average over all input sets for each frame.
\end_layout

\begin_layout Description
<name>[SD] Standard deviation over all input sets for each frame.
\end_layout

\end_deeper
\begin_layout LyX-Code

\end_layout

\begin_layout Standard
Calculate the average, standard deviation, min, and max of given 1D data
 sets.
 Alternatively, if 
\series bold
oversets
\series default
 is specified the average over each set for each point is calculated; this
 requires all input sets be the same size.
\end_layout

\begin_layout Standard
For example, to read in data from a file named perres.peptide.dat and calculate
 the averages etc for all the input sets:
\end_layout

\begin_layout LyX-Code
readdata perres.peptide.dat 
\end_layout

\begin_layout LyX-Code
avg perres.peptide.dat out output.dat name V 
\end_layout

\begin_layout Subsection
calcstate
\end_layout

\begin_layout LyX-Code
calcstate {state <ID>,<dataset>,<min>,<max>[,<dataset1>,<min1>,<max1>]}
 ...
\end_layout

\begin_layout LyX-Code
      	[out <state v time file>] [name <setname>]
\end_layout

\begin_layout LyX-Code
      	[curveout <curve file>] [stateout <states file>]
\end_layout

\begin_layout LyX-Code
      	[transout <transitions file>] [countout <count file>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
state
\begin_inset space ~
\end_inset

<ID>,<dataset>,<min>,<max> Define a state according to given data set and
 criteria.
 Multiple states can be given, and each state can have multiple criteria.
 If multiple criteria are specified, each one must be satisfied in order
 to assign the state.
 If the same state is defined multiple times, the state will be assigned
 if either criteria match.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<ID> Name to give each state index.
 State indices start at 0.
 -1 means 
\begin_inset Quotes eld
\end_inset

undefined state
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Description
<dataset> Data set to use.
\end_layout

\begin_layout Description
<min>,<max> Frames with data set value above <min> and below <max> will
 be assigned <ID>.
\end_layout

\end_deeper
\begin_layout Description
[out
\begin_inset space ~
\end_inset

<state
\begin_inset space ~
\end_inset

v
\begin_inset space ~
\end_inset

time
\begin_inset space ~
\end_inset

file>] File to write state index vs frame to.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<setname>] Data set name.
\end_layout

\begin_layout Description
[curveout
\begin_inset space ~
\end_inset

<curve
\begin_inset space ~
\end_inset

file>] File to write state lifetime and transition curves to.
\end_layout

\begin_layout Description
[stateout
\begin_inset space ~
\end_inset

<states
\begin_inset space ~
\end_inset

file>] File to write state lifetime data to.
\end_layout

\begin_layout Description
[transout
\begin_inset space ~
\end_inset

<transitions
\begin_inset space ~
\end_inset

file>] File to write state transition data to.
\end_layout

\begin_layout Description
[countout
\begin_inset space ~
\end_inset

<state
\begin_inset space ~
\end_inset

count
\begin_inset space ~
\end_inset

file>] File to write state counts (i.e.
 how many frames each state was observed) to.
\end_layout

\begin_layout Standard
DataSets Created:
\end_layout

\begin_layout Description
<setname> State index vs frame.
\end_layout

\begin_layout Description
<setname>[Count] Number of frames each state was observed.
\end_layout

\begin_layout Description
<setname>[Frac] Fraction of time each state was observed
\end_layout

\begin_layout Description
<setname>[Nlifetimes] Number of times each state was reached.
\end_layout

\begin_layout Description
<setname>[Avglife] Average lifetime length for each state.
\end_layout

\begin_layout Description
<setname>[Maxlife] Maximum lifetime of each state.
\end_layout

\begin_layout Description
<setname>[Name] Name (<ID>) of each state.
\end_layout

\begin_layout Description
<setname>[Xlifetimes] Number of times each state transitioned to each other
 state.
\end_layout

\begin_layout Description
<setname>[Xavglife] Average lifetime of each state before transitioning
 to each other state.
\end_layout

\begin_layout Description
<setname>[Xmaxlife] Maximum lifetime of each state before transitioning
 to each other state.
\end_layout

\begin_layout Description
<setname>[Xname] Name of each transition, format 
\begin_inset Quotes eld
\end_inset

StateA->StateB
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Description
<setname>[sCurve]:X State curves; lifetime curve for transitions from given
 state to any other state.
\end_layout

\begin_layout Description
<setname>[tCurve]:X Transition curves; lifetime curve for transitions from
 given state to other specific state.
\end_layout

\end_deeper
\begin_layout Standard
Data for the specified data set(s) that matches the given criteria will
 be assigned a state index.
 State indices start from 0 and match the order in which 
\series bold
state
\series default
 keywords were given.
 The -1 state index is reserved for 
\begin_inset Quotes eld
\end_inset

undefined state
\begin_inset Quotes erd
\end_inset

.
 For example, the following input:
\end_layout

\begin_layout LyX-Code
parm DPDP.parm7
\end_layout

\begin_layout LyX-Code
trajin DPDP.nc
\end_layout

\begin_layout LyX-Code
distance d1 :19@O :12@N
\end_layout

\begin_layout LyX-Code
angle a1 :19@O :12@H :12@N
\end_layout

\begin_layout LyX-Code
calcstate state D,d1,3.0,4.0 state A,a1,100,120 out state.dat curveout curve.agr
 
\backslash

\end_layout

\begin_layout LyX-Code
                stateout States.dat transout States.dat name d1_a1
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout Standard
Defines two states.
 State index 0 is defined as a state named 
\begin_inset Quotes eld
\end_inset

D
\begin_inset Quotes erd
\end_inset

 based on the distance from ':19@O' to ':12@N' (data set d1) being between
 3 and 4 Angstroms.
 State index 1 is defined as a state named 
\begin_inset Quotes eld
\end_inset

A
\begin_inset Quotes erd
\end_inset

 based on the angle between ':19@O', ':12@H', and ':12@N' (data set a1)
 being between 100 and 120 degrees.
 The output in state.dat might look like:
\end_layout

\begin_layout LyX-Code
#Frame          d1_a1
\end_layout

\begin_layout LyX-Code
       1           -1
\end_layout

\begin_layout LyX-Code
       2            0
\end_layout

\begin_layout LyX-Code
       3            0
\end_layout

\begin_layout LyX-Code
       4            0
\end_layout

\begin_layout LyX-Code
       5           -1
\end_layout

\begin_layout LyX-Code
       6            1
\end_layout

\begin_layout LyX-Code
       7           -1
\end_layout

\begin_layout LyX-Code
       8           -1
\end_layout

\begin_layout LyX-Code
       9            0
\end_layout

\begin_layout LyX-Code
      10           -1
\end_layout

\begin_layout Standard
where the values in column d1_a1 refer to state index: -1 is undefined,
 0 is state 
\begin_inset Quotes eld
\end_inset

D
\begin_inset Quotes erd
\end_inset

, and 1 is state 
\begin_inset Quotes eld
\end_inset

A
\begin_inset Quotes erd
\end_inset

.
\end_layout

\begin_layout Standard
To define a state State1 as having a distance named 
\begin_inset Quotes eld
\end_inset

dist
\begin_inset Quotes erd
\end_inset

 between 2.5 and 5.0 Ang.
 and an angle named 
\begin_inset Quotes eld
\end_inset

ang
\begin_inset Quotes erd
\end_inset

 between 30 and 60 degrees OR having a distance named 
\begin_inset Quotes eld
\end_inset

distA
\begin_inset Quotes erd
\end_inset

 between 0.0 and 3.0 Ang.:
\end_layout

\begin_layout LyX-Code
calcstate state State1,dist,2.5,5.0,ang,30,60 
\backslash

\end_layout

\begin_layout LyX-Code
          state State1,distA,0.0,3.0
\end_layout

\begin_layout Standard
Lifetime curves (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-lifetime"

\end_inset

 for further explanation) are calculated for transitions from each state
 to any other state (aspect [sCurve]) and each state to each other state
 (aspect [tCurve]).
 In this case there will be 3 sCurves and 4 tCurves:
\end_layout

\begin_layout LyX-Code
d1_a1[sCurve]:0 "Undefined" (double), size is 10 
\end_layout

\begin_layout LyX-Code
d1_a1[sCurve]:1 "D" (double), size is 3 
\end_layout

\begin_layout LyX-Code
d1_a1[sCurve]:2 "A" (double), size is 1 
\end_layout

\begin_layout LyX-Code
d1_a1[tCurve]:0 "Undefined->D" (double), size is 10
\end_layout

\begin_layout LyX-Code
d1_a1[tCurve]:1 "D->Undefined" (double), size is 3
\end_layout

\begin_layout LyX-Code
d1_a1[tCurve]:2 "Undefined->A" (double), size is 1
\end_layout

\begin_layout LyX-Code
d1_a1[tCurve]:3 "A->Undefined" (double), size is 1
\end_layout

\begin_layout Standard
Lifetime analysis from each state to any other state is directed to the
 file specified by 
\series bold
stateout
\series default
 and has format:
\end_layout

\begin_layout LyX-Code
#Index N Average Max State
\end_layout

\begin_layout Standard
Where 
\family typewriter
#Index
\family default
 is the state index, 
\family typewriter
N
\family default
 is the number of lifetimes in that state, 
\family typewriter
Average
\family default
 is the average lifetime while in that state (in frames), 
\family typewriter
Max
\family default
 is the maximum lifetime while in that state (in frames) and 
\family typewriter
State
\family default
 is the name of the state.
\end_layout

\begin_layout Standard
Finally, lifetime analysis of transitions from each state to each other
 state is directory to the file specified by transout and has format:
\end_layout

\begin_layout LyX-Code
#N Average Max Transition
\end_layout

\begin_layout Standard
Where 
\family typewriter
#N
\family default
 is the number of transitions, 
\family typewriter
Average
\family default
 is the average lifetime (in frames) in the first state before transitioning
 to the second state, 
\family typewriter
Max
\family default
 is the max lifetime (in frames) before transitioning to the second state,
 and 
\family typewriter
Transition
\family default
 is the name of the transition.
\end_layout

\begin_layout Subsection
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-cluster-analysis"

\end_inset

cluster
\end_layout

\begin_layout LyX-Code
cluster
\begin_inset Index idx
status open

\begin_layout Plain Layout
cluster
\end_layout

\end_inset

 [crdset <crd set> | nocoords]
\end_layout

\begin_layout LyX-Code
  Algorithms:
\end_layout

\begin_layout LyX-Code
	[hieragglo [epsilon <e>] [clusters <n>] [linkage|averagelinkage|complete]
\end_layout

\begin_layout LyX-Code
      [epsilonplot <file>] [includesieved_cdist]]
\end_layout

\begin_layout LyX-Code
	[dbscan minpoints <n> epsilon <e> [sievetoframe] [kdist <k> [kfile <prefix>]]]
\end_layout

\begin_layout LyX-Code
    [dpeaks epsilon <e> [noise] [dvdfile <density_vs_dist_file>]
\end_layout

\begin_layout LyX-Code
	  [choosepoints {manual | auto}]
\end_layout

\begin_layout LyX-Code
	  [distancecut <distcut>] [densitycut <densitycut>]
\end_layout

\begin_layout LyX-Code
	  [runavg <runavg_file>] [deltafile <file>] [gauss]]
\end_layout

\begin_layout LyX-Code
    [kmeans clusters <n> [randompoint [kseed <seed>]] [maxit <iterations>]
\end_layout

\begin_layout LyX-Code
    [{readtxt|readinfo} infofile <file>]
\end_layout

\begin_layout LyX-Code
  Distance options:
\end_layout

\begin_layout LyX-Code
	{[[rms | srmsd] [<mask>] [mass] [nofit]] | [dme [<mask>]] |
\end_layout

\begin_layout LyX-Code
      [data <dset0>[,<dset1>,...]]}
\end_layout

\begin_layout LyX-Code
	[sieve <#> [random [sieveseed <#>]]] [loadpairdist] [savepairdist] [pairdist
 <file>]
\end_layout

\begin_layout LyX-Code
    [pairwisecache {mem | none}] [includesieveincalc] [pwrecalc]
\end_layout

\begin_layout LyX-Code
  Output options:
\end_layout

\begin_layout LyX-Code
	[out <cnumvtime>] [gracecolor] [summary <summaryfile>] [info <infofile>]
\end_layout

\begin_layout LyX-Code
	[summarysplit <splitfile>] [splitframe <comma-separated frame list>]
\end_layout

\begin_layout LyX-Code
    [bestrep {cumulative|centroid|cumulative_nosieve}] [savenreps <#>]
\end_layout

\begin_layout LyX-Code
    [clustersvtime <filename> cvtwindow <window size>]
\end_layout

\begin_layout LyX-Code
	[cpopvtime <file> [normpop | normframe] [lifetime]]
\end_layout

\begin_layout LyX-Code
    [sil <silhouette file prefix>] [assignrefs [refcut <rms>] [refmask <mask>]]
\end_layout

\begin_layout LyX-Code
  Coordinate output options:
\end_layout

\begin_layout LyX-Code
	[ clusterout <trajfileprefix> [clusterfmt <trajformat>] ]
\end_layout

\begin_layout LyX-Code
	[ singlerepout <trajfilename> [singlerepfmt <trajformat>] ]
\end_layout

\begin_layout LyX-Code
	[ repout <repprefix> [repfmt <repfmt>] [repframe] ]
\end_layout

\begin_layout LyX-Code
    [ avgout <avgprefix> [avgfmt <avgfmt>] ]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[crdset
\begin_inset space ~
\end_inset

<crd
\begin_inset space ~
\end_inset

set>] Name of previously generated COORDS data set.
 If not specified the default COORDS set will be used unless 
\series bold
nocoords
\series default
 has been specified.
\end_layout

\begin_layout Description
[nocoords] Do not use a COORDS data set; distance metrics that require coordinat
es and coordiante output will be disabled.
\end_layout

\begin_layout Standard
Algorithms:
\end_layout

\begin_layout Description
hieragglo (Default) Use hierarchical agglomerative (bottom-up) approach.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[epsilon
\begin_inset space ~
\end_inset

<e>] Finish clustering when minimum distance between clusters is greater
 than 
\series bold
<e>
\series default
.
\end_layout

\begin_layout Description
[clusters
\begin_inset space ~
\end_inset

<n>] Finish clustering when 
\series bold
<n>
\series default
 clusters remain.
\end_layout

\begin_layout Description
[
\series bold
linkage]
\series default
 Single-linkage; use the shortest distance between members of two clusters.
\end_layout

\begin_layout Description
[
\series bold
averagelinkage]
\series default
 Average-linkage (default); use the average distance between members of
 two clusters.
\end_layout

\begin_layout Description

\series bold
[complete]
\series default
 Complete-linkage; use the maximum distance between members of two clusters.
\end_layout

\begin_layout Description
[epsilonplot
\begin_inset space ~
\end_inset

<file>] Write number of clusters vs epsilon to 
\series bold
<file>
\series default
.
\end_layout

\begin_layout Description
[includesieved_cdist] Include sieved frames in final cluster distance calculatio
n (
\bar under
may be very slow
\bar default
).
\end_layout

\end_deeper
\begin_layout Description
dbscan Use DBSCAN clustering algorithm of Ester et al.
\begin_inset CommandInset citation
LatexCommand citep
key "Ester96"
literal "true"

\end_inset


\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
minpoints
\begin_inset space ~
\end_inset

<n> Minimum number of points required to form a cluster.
\end_layout

\begin_layout Description
epsilon
\begin_inset space ~
\end_inset

<e> Distance cutoff between points for forming a cluster.
\end_layout

\begin_layout Description
[sievetoframe] When restoring sieved frames, compare frame to every frame
 in a cluster instead of the centroid; slower but more accurate.
\end_layout

\begin_layout Description
[kdist
\begin_inset space ~
\end_inset

<k>] Generate K-dist plot for help in determining DBSCAN parameters (see
 below).
\end_layout

\begin_layout Description
[kfile
\begin_inset space ~
\end_inset

<prefix>] Prefix for K-dist plot file.
\end_layout

\end_deeper
\begin_layout Description
dpeaks Use the density peaks algorithm of Rodriguez and Laio
\begin_inset CommandInset citation
LatexCommand citep
key "Rodriguez2014"
literal "true"

\end_inset


\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
epsilon
\begin_inset space ~
\end_inset

<e> Cutoff for determining local density in Angstroms.
\end_layout

\begin_layout Description
[noise] If specified, treat all points within epsilon of another cluster
 as noise.
\end_layout

\begin_layout Description
[dvdfile
\begin_inset space ~
\end_inset

<density_vs_dist_file>] File to write density versus minimum distance to
 point with next highest density.
 This can be used to determine appropriate cutoffs for distance and density
 in a subsequent step with 
\series bold
choosepoints
\series default
 
\series bold
manual
\series default
.
\end_layout

\begin_layout Description
[choosepoints
\begin_inset space ~
\end_inset

{manual
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

auto}] Specify whether clusters will be chosen based on specified distance/densi
ty cutoffs, or automatically.
 If not specified only the density vs distance file will be written and
 no clustering will be performed.
 Currently 
\series bold
manual
\series default
 is recommended.
\end_layout

\begin_layout Description
[distancecut
\begin_inset space ~
\end_inset

<distcut>]
\begin_inset space ~
\end_inset

[densitycut
\begin_inset space ~
\end_inset

<densitycut>] If 
\series bold
choosepoints
\series default
 
\series bold
manual
\series default
, points with minimum distance greather than or equal to <distcut> and density
 greater than or equal to <densitycut> will be chosen.
\end_layout

\begin_layout Description
[runavg
\begin_inset space ~
\end_inset

<runavg
\begin_inset space ~
\end_inset

file>] If 
\series bold
choosepoints
\series default
 
\series bold
automatic
\series default
, the calculated running average of density versus distance will be written
 to <runavg file>.
\end_layout

\begin_layout Description
[deltafile
\begin_inset space ~
\end_inset

<file>] If 
\series bold
choosepoints
\series default
 
\series bold
automatic
\series default
, distance minus the running average for each point will be written to this
 file.
\end_layout

\begin_layout Description
[gauss] Calculate density with Gaussian kernels instead of using discrete
 density.
\end_layout

\end_deeper
\begin_layout Description
kmeans Use K-means clustering algorithm.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
clusters
\begin_inset space ~
\end_inset

<n> Finish clustering when number of clusters is 
\series bold
<n>
\series default
.
\end_layout

\begin_layout Description
[randompoint] Randomize initial set of points used (recommended).
\end_layout

\begin_layout Description
[kseed
\begin_inset space ~
\end_inset

<seed>] Random number generator seed for 
\series bold
randompoint
\series default
.
\end_layout

\begin_layout Description
[maxit
\begin_inset space ~
\end_inset

<iteration>] Algorithm will run until frames no longer change clusters of
 <iteration> iterations are reached (default 100).
\end_layout

\end_deeper
\begin_layout Description
readtxt|readinfo No clustering - read in previous cluster results.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
infofile
\begin_inset space ~
\end_inset

<file> Cluster info file to read.
\end_layout

\end_deeper
\begin_layout Standard
Distance Metric Options:
\end_layout

\begin_layout Description
[rms
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

srmsd[<mask>]] (Default 
\series bold
rms
\series default
) Distance between frames calculated via best-fit coordinate RMSD using
 atoms in 
\series bold
<mask>
\series default
.
 If 
\series bold
srmsd
\series default
 specified use symmetry-corrected RMSD (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_symmrmsd"

\end_inset

).
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[mass] Mass-weight the RMSD.
\end_layout

\begin_layout Description
[nofit] Do not fit structures onto each other prior to calculating RMSD.
\end_layout

\end_deeper
\begin_layout Description
dme
\begin_inset space ~
\end_inset

[<mask>] Distance between frames calculated using distance-RMSD (aka DME,
 
\series bold
\emph on
distrmsd
\series default
\emph default
) using atoms in 
\series bold
<mask>
\series default
.
\end_layout

\begin_layout Description
[data
\begin_inset space ~
\end_inset

<dset0>[,<dset1>,...] Distance between frames calculated using specified data
 set(s) (Euclidean distance).
\end_layout

\begin_layout Description
[sieve
\begin_inset space ~
\end_inset

<#>] Perform clustering only for every 
\series bold
<#>
\series default
 frame.
 After clustering, all other frames will be added to clusters.
\end_layout

\begin_layout Description
[random] When 
\series bold
sieve
\series default
 is specified, select initial frames to cluster randomly.
\end_layout

\begin_layout Description
[sieveseed
\begin_inset space ~
\end_inset

<#>] Seed for random sieving; if not set the wallclock time will be used.
\end_layout

\begin_layout Description
[pairdist
\begin_inset space ~
\end_inset

<file>] File to use for loading/saving pairwise distances.
\end_layout

\begin_layout Description
[loadpairdist] Load pairwise distances from 
\series bold
<file>
\series default
 (CpptrajPairDist if pairdist not specified).
\end_layout

\begin_layout Description
[savepairdist] Save pairwise distances from 
\series bold
<file>
\series default
 (CpptrajPairDist if pairdist not specified).
 NOTE: If sieving was performed only the calculated distances are saved.
\end_layout

\begin_layout Description
[pairwisecache
\begin_inset space ~
\end_inset

{mem
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

disk
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

none}] Cache pairwise distance data in memory (default), to disk, or disable
 pairwise caching.
 No caching will save memory but be extremely slow.
 Caching to disk will likely be slow unless writing to a fast storage device
 (e.g.
 SSD) - data is saved to a file named 'CpptrajPairwiseCache'.
\end_layout

\begin_layout Description
[includesieveincalc] Include sieved frames when calculating within-cluster
 average (
\bar under
may be very slow
\bar default
).
\end_layout

\begin_layout Description
[pwrecalc] If a loaded pairwise distance file does not match the current
 setup, force recalculation.
\end_layout

\begin_layout Standard
Output Options:
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<cnumvtime>] Write cluster # vs frame to 
\series bold
<cnumvtime>
\series default
.
 Algorithms that calculate noise (e.g.
 DBSCAN) will assign noise points a value of -1.
\end_layout

\begin_layout Description
[gracecolor] Instead of cluster # vs frame, write cluster# + 1 (corresponding
 to colors used by XMGRACE) vs frame.
 Cluster #s larger than 15 are given the same color.
 Algorithms that calculate noise (e.g.
 DBSCAN) will assign noise points a color of 0 (blank).
\end_layout

\begin_layout Description
[summary
\begin_inset space ~
\end_inset

<summaryfile>] Summarize each cluster with format '#Cluster Frames Frac
 AvgDist Stdev Centroid AvgCDist':
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
#Cluster Cluster number starting from 0 (0 is most populated).
\end_layout

\begin_layout Description
Frames # of frames in cluster.
\end_layout

\begin_layout Description
Frac Size of cluster as fraction of total trajectory.
\end_layout

\begin_layout Description
AvgDist Average distance between points in the cluster.
\end_layout

\begin_layout Description
Stdev Standard deviation of points in the cluster.
\end_layout

\begin_layout Description
Centroid Frame # of structure in cluster that has the lowest cumulative
 distance to every other point.
\end_layout

\begin_layout Description
AvgCDist Average distance of this cluster to every other cluster.
\end_layout

\end_deeper
\begin_layout Description
[info
\begin_inset space ~
\end_inset

<infofile>] Write ptraj-like cluster information to 
\series bold
<infofile>
\series default
.
 This file has format:
\begin_inset Newline newline
\end_inset

#Clustering: <X> clusters <N> frames
\begin_inset Newline newline
\end_inset

#Cluster <I> has average-distance-to-centroid <AVG>
\begin_inset Newline newline
\end_inset

...
\begin_inset Newline newline
\end_inset

#DBI: <DBI>
\begin_inset Newline newline
\end_inset

#pSF: <PSF>
\begin_inset Newline newline
\end_inset

#Algorithm: <algorithm-specific info>
\begin_inset Newline newline
\end_inset

<Line for cluster 0>
\begin_inset Newline newline
\end_inset

...
\begin_inset Newline newline
\end_inset

#Representative frames: <representative frame list>
\begin_inset Newline newline
\end_inset

Where <X> is the number of clusters, <N> is the number of frames clustered,
 <I> ranges from 0 to <X>-1, <AVG> is the average distance of all frames
 in that cluster to the centroid, <DBI> is the Davies-Bouldin Index, <pSF>
 is the pseudo-F statistic, and <representative frame list> contains the
 frame # of the representative frame (i.e.
 closest to the centroid) for each cluster.
 Each cluster has a line made up of characters (one for each frame) where
 '.' means 'not in cluster' and 'X' means 'in cluster'.
\end_layout

\begin_layout Description
[summarysplit
\begin_inset space ~
\end_inset

<splitfile>] Summarize each cluster based on which of its frames fall in
 portions of the trajectory specified by splitframe with format '#Cluster
 Total Frac C# Color NumInX ...
 FracX ...
 FirstX':
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
#Cluster Cluster number starting from 0 (0 is most populated).
\end_layout

\begin_layout Description
Total # of frames in cluster.
\end_layout

\begin_layout Description
Frac Size of cluster as a fraction of the total trajectory.
\end_layout

\begin_layout Description
C# Grace color number.
\end_layout

\begin_layout Description
Color Text description of the color (based on standard XMGRACE coloring).
\end_layout

\begin_layout Description
NumInX Number of frames in Xth portion of the trajectory.
\end_layout

\begin_layout Description
FracX Fraction of frames in Xth portion of the trajectory.
\end_layout

\begin_layout Description
FirstX Frame in the Xth portion of the trajectory where the cluster is first
 observed.
\end_layout

\end_deeper
\begin_layout Description
[splitframe
\begin_inset space ~
\end_inset

<frame>] For 
\series bold
summarysplit
\series default
, frame or comma-separated list of frames to split the trajectory at, e.g.
 '100,200,300'.
\end_layout

\begin_layout Description
[bestrep
\begin_inset space ~
\end_inset

{cumulative|centroid|cumulative_nosieve}] Method for choosing cluster representa
tive frames.
\end_layout

\begin_deeper
\begin_layout Description
cumulative Choose by lowest cumulative distance to all other frames in cluster.
 Default when not sieving.
\end_layout

\begin_layout Description
centroid Choose by lowest distance to cluster centroid.
 Default when sieving.
\end_layout

\begin_layout Description
cumulative_nosieve Choose by lowest cumulative distance to all other frames,
 ignoring sieved frames.
\end_layout

\end_deeper
\begin_layout Description
[savenreps
\begin_inset space ~
\end_inset

<#>] Number of best representative frames to choose (default 1).
\end_layout

\begin_layout Description
[clustersvtime
\begin_inset space ~
\end_inset

<filename>] Write number of unique clusters observed in a given time window
 to <filename>.
\end_layout

\begin_layout Description
[cvtwindow
\begin_inset space ~
\end_inset

<windowsize>] Window size for 
\series bold
clustersvtime
\series default
 output.
\end_layout

\begin_layout Description
[cpopvtime
\begin_inset space ~
\end_inset

<file>
\begin_inset space ~
\end_inset

[normpop
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

normframe]] Write cluster population vs time to 
\series bold
<file>
\series default
; if 
\series bold
normpop
\series default
 specified normalize each cluster to 1.0; if 
\series bold
normframe
\series default
 specified normalize cluster populations by number of frames.
\end_layout

\begin_layout Description
[sil
\begin_inset space ~
\end_inset

<prefix>] Write average cluster silhouette value for each cluster to '<prefix>.cl
uster.dat' and cluster silhouette value for each individual frame to '<prefix>.fra
me.dat'.
\end_layout

\begin_layout Description
assignrefs In 
\series bold
summary
\series default
/
\series bold
summarysplit
\series default
, assign clusters to loaded representative structures if RMSD to that reference
 is less than specified cutoff.
\end_layout

\begin_deeper
\begin_layout Description
[refcut
\begin_inset space ~
\end_inset

<rms>] RMSD cutoff in Angstroms.
\end_layout

\begin_layout Description
[refmask
\begin_inset space ~
\end_inset

<mask>] Mask to use for RMSD calculation.
 If not specified the default mask is all heavy atoms.
\end_layout

\end_deeper
\begin_layout Standard
Coordinate Output Options:
\end_layout

\begin_layout Description
clusterout
\begin_inset space ~
\end_inset

<trajfileprefix> Write frames in each cluster to files named <trajfileprefix>.cX,
 where X is the cluster number.
\end_layout

\begin_layout Description
clusterfmt
\begin_inset space ~
\end_inset

<trajformat> Format keyword for clusterout (default Amber Trajectory).
\end_layout

\begin_layout Description
singlerepout
\begin_inset space ~
\end_inset

<trajfilename> Write all representative frames to single trajectory named
 <trajfilename>.
\end_layout

\begin_layout Description
singlerepfmt
\begin_inset space ~
\end_inset

<trajformat> Format keyword for singlerepout (default Amber Trajectory).
\end_layout

\begin_layout Description
repout
\begin_inset space ~
\end_inset

<repprefix> Write representative frames to separate files named <repprefix>.X.<ext
>, where X is the cluster number and <ext> is a format-specific filename
 extension.
\end_layout

\begin_layout Description
repfmt
\begin_inset space ~
\end_inset

<trajformat> Format keyword for repout (default Amber Trajectory).
\end_layout

\begin_layout Description
repframe Include representative frame number in 
\series bold
repout
\series default
 filename.
\end_layout

\begin_layout Description
avgout
\begin_inset space ~
\end_inset

<avgprefix> Write average structure for each cluster to separate files named
 <avgprefix>.X.<ext>, where X is the cluster number and <ext> is a format-specific
 filename extension.
\end_layout

\begin_layout Description
avgfmt
\begin_inset space ~
\end_inset

<trajformat> Format keyword for avgout.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[Pop] Cluster population vs time; index corresponds to cluster number.
\end_layout

\end_deeper
\begin_layout Standard

\shape italic
Note cluster population vs time data sets are not generated until the analysis
 has been run.
\end_layout

\begin_layout Standard
Cluster input frames using the specified clustering algorithm and distance
 metric.
 In order to speed up clustering of large trajectories, the 
\series bold
sieve
\series default
 keyword can be used.
 In addition, subsequent clustering calculations can be sped up by writing/readi
ng calculated pair distances between each frame to/from a file specified
 by 
\series bold
pairdist
\series default
 (or 
\begin_inset Quotes eld
\end_inset

CpptrajPairDist
\begin_inset Quotes erd
\end_inset

 if 
\series bold
pairdist
\series default
 not specified).
\end_layout

\begin_layout Standard
Example: cluster on a specific distance:
\end_layout

\begin_layout LyX-Code
distance endToEnd :1 :255
\end_layout

\begin_layout LyX-Code
cluster data endToEnd clusters 10 epsilon 3.0 summary summary.dat info info.dat
\end_layout

\begin_layout Standard
Example: cluster on the CA atoms of residues 2-10 using average-linkage,
 stopping when either 3 clusters are reached or the minimum distance between
 clusters is 4.0, writing the cluster number vs time to 
\begin_inset Quotes eld
\end_inset

cnumvtime.dat
\begin_inset Quotes erd
\end_inset

 and a summary of each cluster to 
\begin_inset Quotes eld
\end_inset

avg.summary.dat
\begin_inset Quotes erd
\end_inset

:
\end_layout

\begin_layout LyX-Code
cluster C1 :2-10 clusters 3 epsilon 4.0 out cnumvtime.dat summary avg.summary.dat
\end_layout

\begin_layout Subsubsection*
Clustering Metrics
\end_layout

\begin_layout Standard
The Davies-Bouldin Index (DBI) measures sum over all clusters of the within
 cluster scatter to the between cluster separation; 
\series bold
the smaller the DBI, the better
\series default
.
 The DBI is defined as the average, for all clusters X, of fred, where fred(X)
 = max, across other clusters Y, of (Cx + Cy)/dXY.
 Here Cx is the average distance from points in X to the centroid, similarly
 Cy, and dXY is the distance between cluster centroids.
 
\end_layout

\begin_layout Standard
The pseudo-F statistic (pSF) is another measure of clustering goodness.
 It is intended to capture the 'tightness' of clusters, and is in essence
 a ratio of the mean sum of squares between groups to the mean sum of squares
 within group.
 
\series bold
High values are good
\series default
.
 Generally, one selects a cluster-count that gives a peak in the pseudo-f
 statistic.
 Formula: A/B, where A = (T - P)/(G-1), and B = P / (n-G).
 Here n is the number of points, G is the number of clusters, T is the total
 distance from the all-data centroid, and P is the sum (for all clusters)
 of the distances from the cluster centroid.
 
\end_layout

\begin_layout Standard
The cluster silhouette is a measure of how well each point fits within a
 cluster.
 Values of 1 indicate the point is very similar to other points in the cluster,
 i.e.
 it is well-clustered.
 Values of -1 indicate the point is dissimilar and may fit better in a neighbori
ng cluster.
 Values of 0 indicate the point is on a border between two clusters.
 
\end_layout

\begin_layout Subsubsection*
Hints for setting DBSCAN parameters with 'kdist'
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_dbscan_Hints"

\end_inset


\end_layout

\begin_layout Standard
It is not always obvious what parameters to set for DBSCAN.
 You can get a rough idea of what to set 'mindist' and 'epsilon' to by generatin
g a so-called "K-dist" plot with the 'kidst <k>' option.
 The K-dist plot shows for each point (X axis) the Kth farthest distance
 (Y axis), sorted by decreasing distance.
 You supply the same distance metric and sieve parameters you want to use
 for the actual clustering, but nothing else.
 For example:
\end_layout

\begin_layout LyX-Code
cluster C0 dbscan kdist 4 rms :1-4@CA sieve 10 loadpairdist pairdist CpptrajPair
Dist
\end_layout

\begin_layout Standard
The K-dist plot will be named <prefix>.<k>.dat, with the default prefix being
 'Kdist' (in this case the file name would be Kdist.4.dat).
 The K-dist plot usually looks like a curve with an initially steep slope
 that gradually decreases.
 Around where the initial part of the curve starts to flatten out (indicating
 an increas in density) is around where epsilon should be set; minpoints
 is set to whatever <k> was.
 It has been suggested that the shape of the K-dist curve doesn't change
 too much after Kdist=4, but users are encouraged to experiment.
\end_layout

\begin_layout Subsubsection*
Using 'dpeaks' clustering
\end_layout

\begin_layout Standard
The 'dpeaks' (density peaks) algorithm attempts to find clusters by identifying
 points in high density regions which are far from other points of high
 density
\begin_inset CommandInset citation
LatexCommand citep
key "Rodriguez2014"
literal "true"

\end_inset

.
 There are two ways these points can be chosen.
 The first and recommended way is manually.
 In this method, clustering if first run with 
\series bold
choosepoints
\series default
 not specified to generate a plot containing density versus minimum distance
 to point with next highest density (the decision graph).
 Appropriate cut offs for distance and density can then be chosen based
 on visual inspection; cutoffs should be chosen so that they select points
 that have both a high density and a high distance to point with next highest
 density.
 Clustering can then be run again with 
\series bold
distancecut
\series default
 and 
\series bold
densitycut
\series default
 set.
\end_layout

\begin_layout Standard
The second way is automatically; cpptraj will attempt to identify outliers
 in the density vs distance plot based on distance from the running average.
 Although this only requires a single pass, this method of choosing points
 is not well-tested and currently not recommended.
\end_layout

\begin_layout Subsubsection*
The CpptrajPairDist file format
\end_layout

\begin_layout Standard
The CpptrajPairDist file is binary; the exact format depends on what version
 of cpptraj generated the file (since earlier versions had no concept of
 'sieve').
 The CpptrajPairDist file starts with a 4 byte header containing the characters
 'C' 'T' 'M' followed by the version number.
 A quick way to figure out the version is to use the linux 'od' command
 to output the first 4 bytes as hexadecimal, e.g.:
\end_layout

\begin_layout LyX-Code
$ od -t x1 -N 4 CpptrajPairDist 0000000 43 54 4d 02
\end_layout

\begin_layout Standard
So the CpptrajPairDist file version in the above example is 2.
\end_layout

\begin_layout Standard
The next few numbers describe the matrix size and depend on the version.
\end_layout

\begin_layout Description
Version
\begin_inset space ~
\end_inset

0: Two 4-byte integers: # of rows and # of elements.
 
\end_layout

\begin_layout Description
Version
\begin_inset space ~
\end_inset

1: Two 8-byte unsigned integers (equivalent to size_t on most systems):
 # of rows and # of elements.
 
\end_layout

\begin_layout Description
Version
\begin_inset space ~
\end_inset

2: Three 8 byte unsigned integers: original # of rows, actual # of rows,
 and sieve value.
\end_layout

\begin_layout Standard
This is followed by the actual matrix data, stored as a single array of
 floats (4 bytes).
 For versions 1 and 2 the number of elements is explicitly stored.
 For version 2, to calculate the number of matrix elements you need to read:
\end_layout

\begin_layout LyX-Code
Elements = (actual_rows * (actual_rows - 1)) / 2
\end_layout

\begin_layout Standard
The cluster pair-distance matrix is an upper-right triangle matrix without
 the diagonal (in row-major order), so the first element is the distance
 between elements 0 and 1, the second is between elements 0 and 2, etc.
\end_layout

\begin_layout Standard
In version 2 files, if the sieve value is greater than 1 that means original_row
s > actual_rows and there is an additional array of characters original_nrows
 long, with 'T' if the row is being ignored (i.e.
 it was sieved out) and 'F' if the row is active (i.e.
 is active in the actual pairwise-distance matrix).
\end_layout

\begin_layout Standard
The code that cpptraj uses to read in CpptrajPairDist files is in ClusterMatrix:
:LoadFile() (ClusterMatrix.cpp).
\end_layout

\begin_layout Subsection
cphstats
\end_layout

\begin_layout LyX-Code
cphstats <pH sets> [name <name>] [statsout <statsfile>] [deprot]
\end_layout

\begin_layout LyX-Code
     	[fracplot [fracplotout <file>]]
\end_layout

\begin_deeper
\begin_layout Description
<pH
\begin_inset space ~
\end_inset

sets> Previously read in pH data sets.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<name> Output set name.
\end_layout

\begin_layout Description
statsout
\begin_inset space ~
\end_inset

<statsfile> Write pH statistics to <statsfile>
\end_layout

\begin_layout Description
deprot If specified, calculate fraction deprotonated instead of protonated.
\end_layout

\begin_layout Description
fracplot If specified, calculate fraction protonated/deprotonated vs pH.
\end_layout

\begin_deeper
\begin_layout Description
fracplotout
\begin_inset space ~
\end_inset

<file> File to write fraction plots to.
\end_layout

\end_deeper
\begin_layout Standard
Data Sets Generated
\end_layout

\begin_layout Description
<name>[Frac]:<idx> Fraction protonated/deprotonated for residue <idx>.
\end_layout

\end_deeper
\begin_layout Standard
Calculate statistics for constant pH simulation data previously read in
 with 
\series bold
\emph on
readdata
\series default
\emph default
 (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_cphdatafile"

\end_inset

).
 Statistics are calculated for each residue at each input pH.
 Output format is as follows:
\end_layout

\begin_layout LyX-Code
Solvent pH is <pH>
\end_layout

\begin_layout LyX-Code
<res name> <res num> : Offset <off> Pred <pred> Frac Prot <frac> Transitions
 <#trans>
\end_layout

\begin_layout LyX-Code
...
\end_layout

\begin_layout LyX-Code

\end_layout

\begin_layout LyX-Code
Average total molecular protonation: <avg>
\end_layout

\begin_layout Standard
Where 
\series bold
<off>
\series default
 is offset from predicted, 
\series bold
<pred>
\series default
 is predicted pH, and <#trans> is the number of transitions.
 A line is printed for each residue.
 This functionality is similar to the 
\series bold
cphstats
\series default
 utility that comes with Amber (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "sec:cphstats"

\end_inset

).
\end_layout

\begin_layout Standard
Note that data from constant pH REMD must be sorted prior to use with 
\series bold
\emph on
cphstats
\series default
\emph default
.
 See the 
\series bold
\emph on
readensembledata
\series default
\emph default
 (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_readensembledata"

\end_inset

) and 
\series bold
\emph on
sortensembledata
\series default
\emph default
 (
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_sortensembledata"

\end_inset

) commands for more details.
\end_layout

\begin_layout Standard
For example, to read in constant pH data from constant pH REMD, sort and
 analyze:
\end_layout

\begin_layout LyX-Code
readensembledata ExplicitRemd/cpout.001 cpin ExplicitRemd/cpin name PH
\end_layout

\begin_layout LyX-Code
sortensembledata PH
\end_layout

\begin_layout LyX-Code
runanalysis cphstats PH[*] statsout stats.dat fracplot fracplotout frac.agr
 deprot
\end_layout

\begin_layout Subsection
corr | correlationcoe
\end_layout

\begin_layout LyX-Code
corr
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
corr
\end_layout

\end_inset

 out <outfilename> <dataset1> [<dataset2>]
\end_layout

\begin_layout LyX-Code
     [lagmax <lag>] [nocovar] [direct]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
out
\begin_inset space ~
\end_inset

<outfilename>
\series default
 Write results to file named <outfilename>.
 The datasets must have the same # of data points.
\end_layout

\begin_layout Description

\series bold
<dataset1>
\begin_inset space ~
\end_inset

[<dataset2>]
\series default
 Data set(s) to calculate correlation for.
 If one dataset or the same dataset is given twice, the auto-correlation
 will be calculated, otherwise cross-correlation.
\end_layout

\begin_layout Description

\series bold
[lagmax]
\series default
 Maximum lag to calculate for.
 If not specified all frames are used.
\end_layout

\begin_layout Description

\series bold
[nocovar]
\series default
 Do not calculate covariance.
\end_layout

\begin_layout Description

\series bold
[direct]
\series default
 Do not use FFTs to calculate correlation; this will be much slower.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[<dataset1>] (Auto-correlation) The aspect will be the name of each of the
 input data set.
\end_layout

\begin_layout Description
[<dataset1>-<dataset2>] (Cross-correlation) The aspect will be the names
 of each of the input data sets joined by a dash ('-').
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[coeff] Correlation coefficient.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the auto-correlation function for data set named <dataset1> or
 the cross-correlation function for data sets named <dataset1> and <dataset2>
 up to <lagmax> frames (all if 
\series bold
lagmax
\series default
 not specified), writing the result to file specified by 
\series bold
out
\series default
.
 The two datasets must have the same # of datapoints.
 
\end_layout

\begin_layout Subsection
crank | crankshaft
\end_layout

\begin_layout LyX-Code
crank {angle | distance} <dsetname1> <dsetname2> info <string>
\end_layout

\begin_layout LyX-Code
      [out <filename>] [results <resultsfile>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
angle Analyze angle data sets.
\end_layout

\begin_layout Description
distance Analyze distance data sets.
\end_layout

\begin_layout Description
<dsetname1> Data set to analyze.
\end_layout

\begin_layout Description
<dsetname2> Data set to analyze.
\end_layout

\begin_layout Description
info
\begin_inset space ~
\end_inset

<string> Title the analysis <string>.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write frame-vs-bin to <filename>.
\end_layout

\begin_layout Description
[results
\begin_inset space ~
\end_inset

<resultsfile>] Write results to <resultsfile>.
\end_layout

\end_deeper
\begin_layout Standard
Calculate crankshaft motion between two data sets.
\end_layout

\begin_layout Subsection
crdfluct
\end_layout

\begin_layout LyX-Code
[crdset <crd set>] [<mask>] [out <filename>] [window <size>] [bfactor]
\end_layout

\begin_layout Standard
Calculate atomic positional fluctuations for atoms in 
\series bold
<mask>
\series default
 over windows of size 
\series bold
<size>
\series default
.
 If 
\series bold
bfactor
\series default
 is specified, the fluctuations are weighted by 
\begin_inset Formula $\frac{8}{3}\pi^{2}$
\end_inset

(similar but not necessarily equivalent to crystallographic B-factor calculation
).
 Units are Å, or Å
\begin_inset script superscript

\begin_layout Plain Layout
2
\end_layout

\end_inset

x
\begin_inset Formula $\frac{8}{3}\pi^{2}$
\end_inset

 if 
\series bold
bfactor
\series default
 specified.
\end_layout

\begin_layout Subsection
crosscorr
\end_layout

\begin_layout LyX-Code
crosscorr [name <dsetname>] <dsetarg0> [<dsetarg1> ...] [out <filename>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
[name
\begin_inset space ~
\end_inset

<dsetname>]
\series default
 The resulting upper-triangle matrix is stored with name <dsetname>.
\end_layout

\begin_layout Description

\series bold
<dsetarg0>
\begin_inset space ~
\end_inset

[<dsetarg1>
\begin_inset space ~
\end_inset

...]
\series default
 Argument(s) specifying datasets to be used.
\end_layout

\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<filename>]
\series default
 Write results to file named <filename>.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the Pearson product-moment correlation coefficients between all
 specified datasets.
\end_layout

\begin_layout Subsection
curvefit
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_curvefit"

\end_inset


\end_layout

\begin_layout LyX-Code
curvefit <dset> { <equation>  |
\end_layout

\begin_layout LyX-Code
                  name <dsname> {gauss | nexp <m> [form {mexp|mexpk|mexpk_penalt
y}} }
\end_layout

\begin_layout LyX-Code
         [AX=<value> ...] [out <outfile>] [resultsout <results>]
\end_layout

\begin_layout LyX-Code
         [maxit <max iterations>] [tol <tolerance>]
\end_layout

\begin_layout LyX-Code
         [outxbins <NX> outxmin <xmin> outxmax <xmax>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<dset> Data set to fit.
\end_layout

\begin_layout Description
<equation> Equation to fit of form <Variable> = <Equation>.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-Data-Set-Math"

\end_inset

 for more details on equations 
\emph on
cpptraj
\emph default
 understands.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<dsname> Final data set name (required if using 
\series bold
nexp
\series default
 or 
\series bold
gauss
\series default
).
\end_layout

\begin_layout Description
gauss Fit to Gaussian of form A0 * exp( -((X - A1)^2) / (2 * A2^2) )
\end_layout

\begin_layout Description
nexp
\begin_inset space ~
\end_inset

<m> Fit to specified number of exponentials.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
form
\begin_inset space ~
\end_inset

<type> Fit to specified exponential form:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
mexp Multi-exponential, SUM(m)[ An * exp(An+1 * X)]
\end_layout

\begin_layout Description
mexpk Multi-exponential plus constant, A0 + SUM(m)[An * exp(An+1 * X)]
\end_layout

\begin_layout Description
mexpk_penalty Same as mexpk except sum of prefactors constrained to 1.0 and
 exponential constants constrained to < 0.0.
\end_layout

\end_deeper
\end_deeper
\begin_layout Description
AX=<value> Value of any constants in specified equation with X starting
 from 0 (can specify more than one).
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<outfile> Write resulting fit curve to <outfile>.
\end_layout

\begin_layout Description
resultsout
\begin_inset space ~
\end_inset

<results> Write details of the fit to <results> (default STDOUT).
\end_layout

\begin_layout Description
maxit
\begin_inset space ~
\end_inset

<max
\begin_inset space ~
\end_inset

iterations> Number of iterations to run curve fitting algorithm (default
 50).
\end_layout

\begin_layout Description
tol
\begin_inset space ~
\end_inset

<tolerance> Curve-fitting tolerance (default 1E-4).
\end_layout

\begin_layout Description
outxbins
\begin_inset space ~
\end_inset

<NX> Number of points to use when generating final curve (default same number
 of points as input data set).
\end_layout

\begin_layout Description
outxmin
\begin_inset space ~
\end_inset

<xmin> Minimum X value to use for final curve (default same number of points
 as input data set).
\end_layout

\begin_layout Description
outxmax
\begin_inset space ~
\end_inset

<xmax> Maximum X value to use for final curve (default same number of points
 as input data set).
\end_layout

\end_deeper
\begin_layout Standard
Perform non-linear curve fitting for the specified data set using the Levenberg-
Marquardt algorithm.
 Any equation form that cpptraj understands (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-Data-Set-Math"

\end_inset

) can be used, or several preset forms can be used.
 Similar to Grace (http://plasma-gate.weizmann.ac.il/Grace/), an equation can
 contain constants for curve fitting termed AX (with X being a numerical
 digit, one for each constant), and is assigned to a variable which then
 becomes a data set.
 For example, to fit a curve to data from a file named Data.dat to a data
 set named 'FitY':
\end_layout

\begin_layout LyX-Code
readdata Data.dat
\end_layout

\begin_layout LyX-Code
runanalysis curvefit Data.dat 
\backslash

\end_layout

\begin_layout LyX-Code
  "FitY = (A0 * exp(X * A1)) + (A2 * exp(X * A3))" 
\backslash

\end_layout

\begin_layout LyX-Code
  A0=1 A1=-1 A2=1 A3=-1 
\backslash

\end_layout

\begin_layout LyX-Code
  out curve.dat tol 0.0001 maxit 50
\end_layout

\begin_layout Standard
To perform the same fit but to a multi-exponential curve with two exponentials:
\end_layout

\begin_layout LyX-Code
readdata Data.dat
\end_layout

\begin_layout LyX-Code
runanalysis curvefit Data.dat nexp 2 name FitY 
\backslash

\end_layout

\begin_layout LyX-Code
  A0=1 A1=-1 A2=1 A3=-1 
\backslash

\end_layout

\begin_layout LyX-Code
  out curve1.dat tol 0.0001 maxit 50
\end_layout

\begin_layout Subsection
diagmatrix
\begin_inset CommandInset label
LatexCommand label
name "subsec:diagmatrix-|-analyze"

\end_inset


\end_layout

\begin_layout LyX-Code
diagmatrix <name> [out <filename>] [thermo [outthermo <filename>]]
\end_layout

\begin_layout LyX-Code
           [vecs <#>] [name <modesname>] [reduce] 
\end_layout

\begin_layout LyX-Code
           [nmwiz [nmwizvecs <#>] [nmwizfile <filename>]]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
<name>
\series default
 Name of symmetric matrix to diagonalize.
\end_layout

\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<filename>]
\series default
 Write results to <filename>.
\end_layout

\begin_layout Description

\series bold
[thermo
\begin_inset space ~
\end_inset

[outthermo
\begin_inset space ~
\end_inset

<filename>]]
\series default
 Mass-weighted covariance (mwcovar) matrix only.
 Calculate entropy, heat capacity, and internal energy from the structure
 of a molecule (average coordinates, see above) and its vibrational frequencies
 using standard statistical mechanical formulas for an ideal gas.
 Results are written to <filename> if specified, otherwise results are written
 to STDOUT.
 
\series bold
Note that this converts the units of the calculated eigenvalues to frequencies
 (cm
\begin_inset script superscript

\begin_layout Plain Layout
-1
\end_layout

\end_inset

)
\series default
.
\end_layout

\begin_layout Description

\series bold
[vecs
\begin_inset space ~
\end_inset

<#>]
\series default
 Number of eigenvectors to calculate.
 Default is 0, which is only allowed when 'thermo' is specified.
\end_layout

\begin_layout Description

\series bold
[name
\begin_inset space ~
\end_inset

<modesname>]
\series default
 Store resulting modes data set with name <modesname>.
\end_layout

\begin_layout Description

\series bold
[reduce]
\series default
 Covariance (covar/mwcovar/distcovar) matrices only.
 For coordinate covariance (covar/mwcovar) matrices, each eigenvector element
 is reduced via Ei = Eix^2 + Eiy^2 + Eiz^2.
 For distance covariance (distcovar) the eigenvectors are reduced by taking
 the sum of the squares of each row.
 See Abseher & Nilges, JMB 1998, 279, 911-920 for further details.
 They may be used to compare results from PCA in distance space with those
 from PCA in cartesian-coordinate space.
\end_layout

\begin_layout Description
[nmwiz] Generate output in 
\emph on
.nmd
\emph default
 format file for viewing with NMWiz
\begin_inset CommandInset citation
LatexCommand citep
key "Bakan11"
literal "true"

\end_inset

.
 See http://prody.csb.pitt.edu/tutorials/nmwiz_tutorial/ for further details.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[nmwizvecs
\begin_inset space ~
\end_inset

<#>] Number of vectors to write out for nmwiz output, starting with the
 lowest frequency mode (default 20).
\end_layout

\begin_layout Description
[nmwizfile
\begin_inset space ~
\end_inset

<filename>] Name of nmwiz file to write to (default 'out.nmd').
\end_layout

\begin_layout Description
[nmwizmask
\begin_inset space ~
\end_inset

<mask>] Mask of atoms corresponding to eigenvectors - should be the same
 one used to generate the matrix.
\end_layout

\end_deeper
\end_deeper
\begin_layout Standard
Calculate eigenvectors and eigenvalues for the specified symmetric matrix.
 This is followed by Principal Component Analysis (in cartesian coordinate
 space in the case of a covariance matrix or in distance space in the case
 of a distance-covariance matrix), or Quasiharmonic Analysis (in the case
 of a mass-weighted covariance matrix).
 Diagonalization of distance, correlation, idea, and ired matrices are also
 possible.
 Eigenvalues are given in cm
\begin_inset Formula $^{-1}$
\end_inset

 in the case of a mass-weighted covariance matrix and in the units of the
 matrix elements in all other cases.
 In the case of a mass-weighted covariance matrix, the eigenvectors are
 mass-weighted.
\end_layout

\begin_layout Standard
For quasi-harmonic analysis the input must be a mass-weighted covariance
 matrix.
 Thermodynamic quantities are calculated based on statistical mechanical
 formulae that assume the input system is oscillating in a single energy
 well: see Statistical Thermodynamics by D.
 A.
 McQuarrie, particularly chapters 4, 5, and 6 for more details.
\begin_inset CommandInset citation
LatexCommand citep
key "McQuarrie1973"
literal "true"

\end_inset

 For an in-depth discussion of the accuracy of thermodynamic parameters
 obtained via quasi-harmonic analysis see Chang et al..
\begin_inset CommandInset citation
LatexCommand citep
key "Chang2005"
literal "true"

\end_inset


\end_layout

\begin_layout Standard
Note that the maximum number of non-zero eigenvalues obtainable depends
 on the number of frames used to generate the input matrix; the number of
 frames should be equal to or greater than the number of columns in the
 matrix in order to obtain all eigenmodes.
\end_layout

\begin_layout Standard
Results may include average coordinates (in the case of covar, mwcovar,
 correl), average distances (in the case of distcovar), main diagonal elements
 (in the case of idea and ired), eigenvalues, and eigenvectors.
\end_layout

\begin_layout Standard
For example, in the following a mass-weighted covariance matrix of all atoms
 is generated and stored internally with the name mwcvmat; the matrix itself
 is written to mwcvmat.dat.
 Subsequently, the first 20 eigenmodes of the matrix are calculated and
 written to evecs.dat, and quasiharmonic analysis is performed at 300.0 K,
 with the results written to thermo.dat.
\end_layout

\begin_layout LyX-Code
matrix mwcovar name mwcvmat out mwcvmat.dat
\end_layout

\begin_layout LyX-Code
diagmatrix mwcvmat out evecs.dat vecs 20 
\backslash

\end_layout

\begin_layout LyX-Code
           thermo outthermo thermo.dat temp 300.0
\end_layout

\begin_layout Subsubsection*
Output Format
\end_layout

\begin_layout Standard
The 
\begin_inset Quotes eld
\end_inset

modes
\begin_inset Quotes erd
\end_inset

 or 
\begin_inset Quotes eld
\end_inset

evecs
\begin_inset Quotes erd
\end_inset

 output file is a text file with the following format:
\end_layout

\begin_layout LyX-Code
 [Reduced] Eigenvector file: <Type> nmodes <#> width <width>
\end_layout

\begin_layout LyX-Code
  <# Avg Coords> <Eigenvector Size>
\end_layout

\begin_layout LyX-Code
<Average Coordinates>
\end_layout

\begin_layout Standard
Where <Type> is a string identifying what kind of matrix the eigenvectors/eigenv
alues were determined from, nmodes is how many eigenvectors are in the file,
 and <Average Coordinates> are in lines 7 columns wide, with each element
 having width specified by <width>.
 Then for each eigenvector:
\end_layout

\begin_layout LyX-Code
 ****
\end_layout

\begin_layout LyX-Code
<Eigenvector#> <Eigenvalue>
\end_layout

\begin_layout LyX-Code
<Eigenvector Coordinates>
\end_layout

\begin_layout LyX-Code
...
\end_layout

\begin_layout Standard
Where <Eigenvector Coordinates> are in lines 7 columns wide, with each element
 having width specified by <width>.
\end_layout

\begin_layout Subsection
divergence
\end_layout

\begin_layout LyX-Code
divergence ds1 <ds1> ds2 <ds2>
\end_layout

\begin_layout Standard
Calculate Kullback-Leibler divergence between specified data sets.
\end_layout

\begin_layout Subsection
evalplateau
\end_layout

\begin_layout LyX-Code
evalplateau [name <set out name>] [tol <tol>] [valacut <valacut>]
\end_layout

\begin_layout LyX-Code
        	[initpct <initial pct>] [finalpct <final pct>]
\end_layout

\begin_layout LyX-Code
        	[chisqcut <chisqcut>] [slopecut <slopecut>] [maxit <maxit>]
\end_layout

\begin_layout LyX-Code
        	[out <outfile>] [resultsout <resultsfile>] [statsout <statsfile>]
\end_layout

\begin_layout LyX-Code
        	<input set args> ...
\end_layout

\begin_deeper
\begin_layout Description
name
\begin_inset space ~
\end_inset

<set
\begin_inset space ~
\end_inset

out
\begin_inset space ~
\end_inset

name>] Name for output data sets.
\end_layout

\begin_layout Description
tol
\begin_inset space ~
\end_inset

<tol> Curve fitting tolerance.
 Default 0.00001.
\end_layout

\begin_layout Description
valacut
\begin_inset space ~
\end_inset

<valacut> (
\begin_inset Quotes eld
\end_inset

Value A cutoff
\begin_inset Quotes erd
\end_inset

) Cutoff for last half average vs estimated long term value.
 Default 0.01.
\end_layout

\begin_layout Description
initpct
\begin_inset space ~
\end_inset

<initial
\begin_inset space ~
\end_inset

pct> The initial percentage of data to use for the initial density guess.
 Default 1%.
\end_layout

\begin_layout Description
finalpct
\begin_inset space ~
\end_inset

<final
\begin_inset space ~
\end_inset

pct> The final percentatge of data to use for the final density guess.
 Default 50%.
\end_layout

\begin_layout Description
chisqcut
\begin_inset space ~
\end_inset

<chisqcut> Curve fit chi-squared cutoff.
 Defualt 0.5.
\end_layout

\begin_layout Description
slopecut
\begin_inset space ~
\end_inset

<slopecut> Final slope of fitted curve cutoff.
 Default 0.000001.
\end_layout

\begin_layout Description
maxit
\begin_inset space ~
\end_inset

<maxit> Maximum number of iterations to perform during curve fit.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<outfile> File to write data and fitted curve to.
\end_layout

\begin_layout Description
resultsout
\begin_inset space ~
\end_inset

<resultsfile> File to write plateau results to.
\end_layout

\begin_layout Description
statsout
\begin_inset space ~
\end_inset

<statsfile> File to write curve fitting stats to.
\end_layout

\begin_layout Description
<input
\begin_inset space ~
\end_inset

set
\begin_inset space ~
\end_inset

args> Data sets to evaluate plateau for.
\end_layout

\begin_layout Standard
Data Sets Created
\end_layout

\begin_layout Description
<name>[A0] The A0 (initial density) values.
\end_layout

\begin_layout Description
<name>[A1] The A1 (rate constant) values.
\end_layout

\begin_layout Description
<name>[A2] The A2 (final density) values.
\end_layout

\begin_layout Description
<name>[OneA1] One over the A1 (rate constant) values.
\end_layout

\begin_layout Description
<name>[corr] Curve fit correlation.
\end_layout

\begin_layout Description
<name>[vala] Difference between last half average of data vs final density
 (A2).
\end_layout

\begin_layout Description
<name>[chisq] Chi-squared of the curve fit.
\end_layout

\begin_layout Description
<name>[pltime] Plateau time (time at which all cutoffs satisfied).
\end_layout

\begin_layout Description
<name>[fslope] Final slope of fitted curve.
\end_layout

\begin_layout Description
<name>[name] Input set legend.
\end_layout

\begin_layout Description
<name>[result] Final result: yes, no, err (error).
\end_layout

\end_deeper
\begin_layout Standard
Attempt to determine if data has 
\begin_inset Quotes eld
\end_inset

plateaued
\begin_inset Quotes erd
\end_inset

, i.e.
 stopped changing significantly by the end of the set.
 Currently the defaults are set up to evaluate density data as part of the
 system preparation protocol described by Roe & Brooks.
\begin_inset CommandInset citation
LatexCommand citep
key "Roe2020"
literal "true"

\end_inset


\end_layout

\begin_layout Subsection
fft
\end_layout

\begin_layout LyX-Code
fft <dset0> [<dset1> ...] [out <outfile>] [name <outsetname>] [dt <samp_int>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
<dset0>
\begin_inset space ~
\end_inset

[<dset1
\begin_inset space ~
\end_inset

...]
\series default
 Argument(s) specifying datasets to be used.
\end_layout

\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<outfile>]
\series default
 Write results to file named <outfile>.
\end_layout

\begin_layout Description

\series bold
[name
\begin_inset space ~
\end_inset

<outsetname>]
\series default
 The resulting transform will be stored with name <outsetname>.
\end_layout

\begin_layout Description

\series bold
[dt
\begin_inset space ~
\end_inset

<samp_int>]
\series default
 Set the sampling interval (default is 1.0).
\end_layout

\end_deeper
\begin_layout Standard
Perform fast Fourier transform (FFT) on specified data set(s).
 If more than 1 data set, they must all have the same size.
\end_layout

\begin_layout Subsection
hausdorff
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_hausdorff"

\end_inset


\end_layout

\begin_layout LyX-Code
hausdorff <set arg0> [<set arg1> ...]
\end_layout

\begin_layout LyX-Code
          [outtype {basic|trimatrix nrows <#>|fullmatrix nrows <#> [ncols
 <#>]}]
\end_layout

\begin_layout LyX-Code
      	[name <output set name>] [out <file>] [outab <file>] [outba <file>]
 
\end_layout

\begin_deeper
\begin_layout Description
<set
\begin_inset space ~
\end_inset

arg0>
\begin_inset space ~
\end_inset

...
 Input matrix data set(s) to calculate Hausdorff distance(s) for.
\end_layout

\begin_layout Description
[outtype] Specify the output type.
\end_layout

\begin_deeper
\begin_layout Description
basic Output the Hausdorff distance for each input matrix as scalar 1D data.
\end_layout

\begin_layout Description
trimatrix
\begin_inset space ~
\end_inset

nrows
\begin_inset space ~
\end_inset

<#> Output Hausdorff distances for each input matrix as a 2D upper-triangular
 matrix with the given number of rows.
 Must have (nrows * (nrows-1)) / 2 input sets.
\end_layout

\begin_layout Description
fullmatrix
\begin_inset space ~
\end_inset

nrows
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

ncols
\begin_inset space ~
\end_inset

<#> Output Hausdorff distances for each input matrix as a full matrix with
 the given number of columns and rows.
 If 
\series bold
ncols
\series default
 is not given, use 
\series bold
nrows
\series default
.
 Must have nrows * ncols input sets.
\end_layout

\end_deeper
\begin_layout Description
[name
\begin_inset space ~
\end_inset

<output
\begin_inset space ~
\end_inset

set
\begin_inset space ~
\end_inset

name>] Name of output data sets.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to write Hausdorff distances to.
\end_layout

\begin_layout Description
[outab
\begin_inset space ~
\end_inset

<file>] File to write directed A->B Hausdorff distances to.
\end_layout

\begin_layout Description
[outba
\begin_inset space ~
\end_inset

<file>] File to write directed B->A Hausdorff distances to.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the symmetric Hausdorff distance for one or more matrices.
 The results can be saved as an array or as a full or upper-triangular matrix
 with the specified dimensions.
 The Hausdorff distance H is determined from:
\end_layout

\begin_layout LyX-Code
H = max{dH(A,B), dH(B,A)]
\end_layout

\begin_layout Standard
Where dH(A,B) is the directed Hausdorff distance between sets A and B, etc.
 Colloquially speaking, the directed Hausdorff distance between A and B
 is determined as follows:
\end_layout

\begin_layout Enumerate
What is the closest approach (distance) of each point in A to any point
 in B?
\end_layout

\begin_layout Enumerate
Choose the largest distance from among those distances.
\end_layout

\begin_layout Standard
If desired, the output can be formed into a matrix, which can be useful
 e.g.
 when doing multiple 2D rms calculations on different regions of a trajectory.
 For example, the following input divides a 100 frame trajectory into 10
 frame chunks, calcultes the 2D RMS matrix for each chunk, then performs
 Hausdorff analysis on the resulting matrices and forms a full output matrix.
\end_layout

\begin_layout LyX-Code
parm ../DPDP.parm7
\end_layout

\begin_layout LyX-Code
for beg=1;beg<100;beg+=10 end=10;end+=10 i=1;i++
\end_layout

\begin_layout LyX-Code
  loadcrd ../DPDP.nc 
\backslash
$beg 
\backslash
$end name Chunk
\backslash
$i 
\end_layout

\begin_layout LyX-Code
done 
\end_layout

\begin_layout LyX-Code
# Do the 2drms in chunks 
\end_layout

\begin_layout LyX-Code
for i=1;i<11;i++ 
\end_layout

\begin_layout LyX-Code
  for j=1;j<11;j++ 
\end_layout

\begin_layout LyX-Code
    2drms crdset Chunk
\backslash
$i reftraj Chunk
\backslash
$j M
\backslash
$i.
\backslash
$j 
\end_layout

\begin_layout LyX-Code
  done
\end_layout

\begin_layout LyX-Code
done 
\end_layout

\begin_layout LyX-Code
hausdorff M* out hausdorff.fullmatrix.gnu title hausdorff.matrix.gnu 
\backslash

\end_layout

\begin_layout LyX-Code
  outtype fullmatrix nrows 10
\end_layout

\begin_layout LyX-Code
runanalysis
\end_layout

\begin_layout Standard
This type of calculation lends itself well to parallelization.
 The 
\series bold
parallelanalysis
\series default
 command can be used to run all the 
\series bold
2drms
\series default
 calculations in parallel with MPI-enabled cpptraj:
\end_layout

\begin_layout LyX-Code
parm ../DPDP.parm7
\end_layout

\begin_layout LyX-Code
for beg=1;beg<100;beg+=10 end=10;end+=10 i=1;i++
\end_layout

\begin_layout LyX-Code
  loadcrd ../DPDP.nc 
\backslash
$beg 
\backslash
$end name Chunk
\backslash
$i 
\end_layout

\begin_layout LyX-Code
done 
\end_layout

\begin_layout LyX-Code
# Do the 2drms in chunks 
\end_layout

\begin_layout LyX-Code
for i=1;i<11;i++ 
\end_layout

\begin_layout LyX-Code
  for j=1;j<11;j++ 
\end_layout

\begin_layout LyX-Code
    2drms crdset Chunk
\backslash
$i reftraj Chunk
\backslash
$j M
\backslash
$i.
\backslash
$j 
\end_layout

\begin_layout LyX-Code
  done
\end_layout

\begin_layout LyX-Code
done
\end_layout

\begin_layout LyX-Code
parallelanalysis sync
\end_layout

\begin_layout LyX-Code
runanalysis hausdorff M* out hausdorff.fullmatrix.gnu title hausdorff.matrix.gnu
 
\backslash

\end_layout

\begin_layout LyX-Code
  outtype fullmatrix nrows 10
\end_layout

\begin_layout Subsection
hist | histogram
\end_layout

\begin_layout LyX-Code
hist
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
hist
\end_layout

\end_inset

 <dataset_name>[,<min>,<max>,<step>,<bins>] ...
\end_layout

\begin_layout LyX-Code
	[free <temperature>] [norm | normint] [gnu] [circular] out <filename>
\end_layout

\begin_layout LyX-Code
	[amd <amdboost_data>] [name <outputset name>]
\end_layout

\begin_layout LyX-Code
    [traj3d <file> [trajfmt <format>] [parmout <file>]]
\end_layout

\begin_layout LyX-Code
	[min <min>] [max <max>] [step <step>] [bins <bins>] [nativeout]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
<dataset_name>[,<min>,<max>,<step>,<bins>]
\series default
 Dataset(s) to be histogrammed.
 Optionally, the min, max, step, and/or number of bins can be specified
 for this dimension after the dataset name separated by commas.
 It is only necessary to specify the step or number of bins, an asterisk
 '*' indicates the value should be calculated from available data.
 
\end_layout

\begin_layout Description

\series bold
[free
\begin_inset space ~
\end_inset

<temperature>]
\series default
 If specified, estimate free energy from bin populations using 
\begin_inset Formula $G_{i}=-k_{B}T\ln\left(\frac{N_{i}}{N_{Max}}\right)$
\end_inset

, where K
\begin_inset script subscript

\begin_layout Plain Layout
B
\end_layout

\end_inset

 is Boltzmann's constant, T is the temperature specified by <temperature>,
 N
\begin_inset script subscript

\begin_layout Plain Layout
i
\end_layout

\end_inset

 is the population of bin i and N
\begin_inset script subscript

\begin_layout Plain Layout
Max
\end_layout

\end_inset

 is the population of the most populated bin.
 Bins with no population are given an artificial barrier equivalent to a
 population of 0.5.
\end_layout

\begin_layout Description

\series bold
[norm]
\series default
 If specified, normalize bin populations so the sum over all bins equals
 1.0.
\end_layout

\begin_layout Description
[normint] Normalize bin populations so the integral over them is 1.0.
\end_layout

\begin_layout Description

\series bold
[gnu]
\series default
 Internal output only; data will be gnuplot-readable, i.e.
 a space will be printed after the highest order coordinate cycles.
\end_layout

\begin_layout Description

\series bold
[circular]
\series default
 Internal output only; data will wrap, i.e.
 an extra bin will be printed before min and after max in each direction.
 Useful for e.g.
 dihedral angles.
\end_layout

\begin_layout Description

\series bold
out
\begin_inset space ~
\end_inset

<filename>
\series default
 Write results to file named <filename>.
\end_layout

\begin_layout Description
[amd
\begin_inset space ~
\end_inset

<amdboost_data>] Reweight bins using AMD boost energies in data set <amdboost_da
ta> (in KT).
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<outputset
\begin_inset space ~
\end_inset

name>] Output histogram data set name.
\end_layout

\begin_layout Description
[traj3d
\begin_inset space ~
\end_inset

<file>
\begin_inset space ~
\end_inset

[trajfmt
\begin_inset space ~
\end_inset

<format>]] (3D histograms only) Write a pseudo-trajectory of the 3 data
 sets (1 atom) to <file> with format <format>.
\end_layout

\begin_layout Description
[parmout
\begin_inset space ~
\end_inset

<file>] (3D histograms only) Write a topology corresponding to the pseudo-trajec
tory to <file>.
\end_layout

\begin_layout Description

\series bold
[min
\begin_inset space ~
\end_inset

<min>]
\series default
 Default minimum to bin if not specified.
\end_layout

\begin_layout Description

\series bold
[max
\begin_inset space ~
\end_inset

<max>]
\series default
 Default max to use if not specified.
\end_layout

\begin_layout Description

\series bold
[step
\begin_inset space ~
\end_inset

<step>]
\series default
 Default step size to use if not specified.
\end_layout

\begin_layout Description

\series bold
[bins
\begin_inset space ~
\end_inset

<bins>]
\series default
 Default bin size to use if not specified.
\end_layout

\begin_layout Description
[nativeout] Do not use cpptraj data file framework; only necessary for writing
 out histograms with > 3 dimensions.
\end_layout

\end_deeper
\begin_layout Standard
Create an N-dimensional histrogram, where N is the number of datasets specified.
 For 1-dimensional histograms the xmgrace '.agr' file format is recommended;
 for 2-dimensional hisograms the gnuplot '.gnu' file format is recommended;
 for all other dimensions plot formatting is disabled and the routine uses
 its own internal output format; this is also enabled if 
\series bold
gnu
\series default
 or 
\series bold
circular
\series default
 is specified.
\end_layout

\begin_layout Standard
For example, to create a two dimensional histogram of two datasets 'phi'
 and 'psi':
\end_layout

\begin_layout LyX-Code
dihedral phi :2@C :3@N :3@CA :3@C
\end_layout

\begin_layout LyX-Code
dihedral psi :3@N :3@CA :3@C :4@N
\end_layout

\begin_layout LyX-Code
hist phi,-180,180,*,72 psi,-180,180,*,72 out hist.gnu
\end_layout

\begin_layout Standard
In this case the number of bins (72) has been specified for each dimension
 and '*' has been given for the step size, indicating it should be calculated
 based on min/max/bins.
 The following 'hist' command is equivalent:
\end_layout

\begin_layout LyX-Code
hist phi psi min -180 max 180 bins 72 out hist.gnu
\end_layout

\begin_layout Subsection
integrate
\end_layout

\begin_layout LyX-Code
integrate <dset0> [<dset1> ...] [out <outfile>] [intout <intfile>]
\end_layout

\begin_layout LyX-Code
          [name <name>]
\end_layout

\begin_deeper
\begin_layout Description
<dset0>
\begin_inset space ~
\end_inset

[<dset1>
\begin_inset space ~
\end_inset

...] Data set(s) to integrate.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<outfile>] If specified, write cumulative sum curves to <outfile>.
\end_layout

\begin_layout Description
[intout
\begin_inset space ~
\end_inset

<intfile>] If specified, write final integral values to <intfile>.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<name>] Output data set(s) name.
\end_layout

\begin_layout Standard
DataSets Created:
\end_layout

\begin_layout Description
<name> Final integral values, 1 for each input data set (indexed from 0).
\end_layout

\begin_layout Description
<name>[Sum]:<idx> Cumulative sum curves if 
\series bold
out
\series default
 was specified, 1 for each input data set (indexed from 0).
\end_layout

\end_deeper
\begin_layout Standard
Integrate specified data set(s) using trapezoid integration.
 If 
\series bold
'out'
\series default
 is specified write cumulative sum curves to <outfile>.
 If 
\series bold
'intout'
\series default
 is specified write final integral values for each set to <intfile>.
\end_layout

\begin_layout Subsection
ired
\end_layout

\begin_layout LyX-Code
ired [relax freq <MHz> [NHdist <distnh>] [noefile <noefilename>]]
\end_layout

\begin_layout LyX-Code
     [order <order>] [orderparamfile <orderfilename>]
\end_layout

\begin_layout LyX-Code
 	tstep <tstep> tcorr <tcorr> out <filename> [norm] [drct]
\end_layout

\begin_layout LyX-Code
 	modes <modesname> [name <output sets name>] [ds2matrix <file>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
[relax
\begin_inset space ~
\end_inset

freq
\begin_inset space ~
\end_inset

<MHz>]
\series default
 Should only be used when ired vectors represent N-H bonds; calculate correlatio
n times 
\family roman
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none

\begin_inset Formula $\tau_{m}$
\end_inset


\family default
\series default
\shape default
\size default
\emph default
\bar default
\noun default
\color inherit
\lang american
 
\lang english
for each eigenmode and relaxation rates and NOEs for each N-H vector.
 'freq <MHz>' (required) is the Lamor frequency of the measurement.
\end_layout

\begin_deeper
\begin_layout Description
[NHdist
\begin_inset space ~
\end_inset

<distnh>] Specifies the length of the NH bond in Angstroms (default is 1.02).
\end_layout

\begin_layout Description
[noefile
\begin_inset space ~
\end_inset

<noefilename>] File to write the T1, T2, and NOE data to.
\end_layout

\end_deeper
\begin_layout Description
[order
\begin_inset space ~
\end_inset

<order>] Order of the Legendre polynomials to use when calculating spherical
 harmonics (default 2).
\end_layout

\begin_layout Description
[orderparamfile
\begin_inset space ~
\end_inset

<orderfilename>] File to write the S2 data to.
\end_layout

\begin_layout Description

\series bold
[tstep
\begin_inset space ~
\end_inset

<tstep>]
\series default
 Time between snapshots in ps (default 1.0).
\end_layout

\begin_layout Description

\series bold
[tcorr
\begin_inset space ~
\end_inset

<tcorr>]
\series default
 Maximum time to calculate correlation functions for in ps (default 10000.0).
\end_layout

\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<filename>
\series default
 Name of file to write plateau and TauM data.
 Also the prefix for the .cmt and .cjt files (see below).
\end_layout

\begin_layout Description

\series bold
[norm]
\series default
 Normalize all correlation functions, i.e., 
\begin_inset Formula $C_{l}(t=0)=P_{l}(t=0)=1.0$
\end_inset

.
\end_layout

\begin_layout Description

\series bold
[drct]
\series default
 Use the direct method to calculate correlations instead of FFT; this will
 be much slower.
\end_layout

\begin_layout Description

\series bold
modes
\begin_inset space ~
\end_inset

<modesname>
\series default
 Name of previously calculated eigenmodes corresponding to IRED vectors.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<name>] Output data set name.
\end_layout

\begin_layout Description
[ds2matrix
\begin_inset space ~
\end_inset

<file>] If specified, write full delta*S^2 matrix (# IRED vector rows by
 # eigenmodes columns) to <file>.
\end_layout

\begin_layout Standard
DataSets Created:
\end_layout

\begin_layout Description
<name>[S2] S2 order parameters for each vector.
\end_layout

\begin_layout Description
<name>[Plateau] Plateau values for each vector.
\end_layout

\begin_layout Description
<name>[TauM] TauM values for each vector.
\end_layout

\begin_layout Description
<name>[dS2] Full delta*S^2 matrix.
\end_layout

\begin_layout Description
<name>[T1] T1 relaxation values for each vector.
\end_layout

\begin_layout Description
<name>[T2] T2 relaxation values for each vector.
\end_layout

\begin_layout Description
<name>[NOE] NOEs for each vector.
\end_layout

\begin_layout Description
<name>[Cm(t)]:X Cm(t) function for vector X.
\end_layout

\begin_layout Description
<name>[Cj(t)]:X Cj(t) function for vector X.
\end_layout

\end_deeper
\begin_layout Standard
Peform IRED
\begin_inset CommandInset citation
LatexCommand citep
key "Prompers02a"
literal "true"

\end_inset

 analysis on previously defined IRED vectors (see vector ired) using eigenmodes
 calculated from those vectors with a previous 'diagmatrix' command.
 The number of defined IRED vectors should match the number of eigenmodes
 calculated.
 Autocorrelation functions for each mode and the corresponding correlation
 time 
\family roman
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none

\begin_inset Formula $\tau_{m}$
\end_inset


\family default
\series default
\shape default
\size default
\emph default
\bar default
\noun default
\color inherit
\lang american
 
\lang english
will be written to <filename>.cmt.
 Autocorrelation functions for each vector will be written to <filename>.cjt.
 Relaxation rates and NOEs for each N-H vector will be written to <filename>
 or added to the the end of the standard output.
 For the calculation of
\lang american
 
\family roman
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
\lang english

\begin_inset Formula $\tau_{m}$
\end_inset


\family default
\series default
\shape default
\size default
\emph default
\bar default
\noun default
\color inherit
\lang american
 
\lang english
the normalized correlation functions and only the first third of the analyzed
 time steps will be used.
 For further information on the convergence of correlation functions see
 [Schneider, Brünger, Nilges, 
\emph on
J.
 Mol.
 Biol.

\emph default
 
\series bold
285
\series default
, 727 (1999)].
\end_layout

\begin_layout Subsubsection*
Example of IRED in Cpptraj
\end_layout

\begin_layout Standard
In 
\shape italic
cpptraj
\shape default
, IRED analysis
\begin_inset CommandInset citation
LatexCommand citep
key "Prompers02a"
literal "true"

\end_inset

 can now be performed in one pass (as opposed to the two passes previously
 required in 
\shape italic
ptraj
\shape default
).
 First, IRED vectors are defined (in this case for N-H bonds) and an IRED
 matrix is calculated and analyzed.
 The IRED vectors are then projected onto the calculated IRED eigenvectors
 in the 
\series bold
\shape italic
ired
\series default
\shape default
 analysis command to calculate the time correlation functions.
 If the parameter 
\shape italic
order
\shape default
 is specified, order parameters based on IRED are calculated.
 By specifying the 
\shape italic
relax
\shape default
 parameter, relaxation rates and NOEs can be obtained for each N-H vector.
 Note that the order of the IRED matrix should be the same as the one specified
 for IRED analysis.
\end_layout

\begin_layout LyX-Code
# Define N-H IRED vectors
\end_layout

\begin_layout LyX-Code
vector v0 @5 ired @6
\end_layout

\begin_layout LyX-Code
vector v1 @7 ired @8
\end_layout

\begin_layout LyX-Code
...
\end_layout

\begin_layout LyX-Code
vector v5 @15 ired @16
\end_layout

\begin_layout LyX-Code
vector v6 @17 ired @18`
\end_layout

\begin_layout LyX-Code
# Define IRED matrix using all previous IRED vectors
\end_layout

\begin_layout LyX-Code
matrix ired name matired order 2
\end_layout

\begin_layout LyX-Code
# Diagonalize IRED matrix
\end_layout

\begin_layout LyX-Code
diagmatrix matired vecs 6 out ired.vec name ired.vec
\end_layout

\begin_layout LyX-Code
# Perform IRED analysis
\end_layout

\begin_layout LyX-Code
ired relax NHdist 1.02 freq 500.0 tstep 1.0 tcorr 100.0 out v0.out 
\backslash

\end_layout

\begin_layout LyX-Code
     noefile noe order 2
\end_layout

\begin_layout Subsection
kde
\end_layout

\begin_layout LyX-Code
kde <dataset> [bandwidth <bw>] [out <file>] [name <dsname>]
\end_layout

\begin_layout LyX-Code
    [min <min>] [max <max] [step <step>] [bins <bins>] [free]
\end_layout

\begin_layout LyX-Code
    [kldiv <dsname2> [klout <outfile>]] [amd <amdboost_data>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[bandwidth
\begin_inset space ~
\end_inset

<bw>] Bandwidth to use for KDE; if not specified bandwidth will be estimated
 using the normal distribution approximation.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] Output file name.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<dsname>] Output data set name.
\end_layout

\begin_layout Description
[min
\begin_inset space ~
\end_inset

<min>] Minimum bin.
\end_layout

\begin_layout Description
[max
\begin_inset space ~
\end_inset

<max>] Maximum bin.
\end_layout

\begin_layout Description
[step
\begin_inset space ~
\end_inset

<step>] Bin step.
\end_layout

\begin_layout Description
[bins
\begin_inset space ~
\end_inset

<bins>] Number of bins.
\end_layout

\begin_layout Description
[free] Calculate free energy from bin population.
\end_layout

\begin_layout Description
[kldiv
\begin_inset space ~
\end_inset

<dsname2>
\begin_inset space ~
\end_inset

[klout
\begin_inset space ~
\end_inset

<outfile>]] Calculate Kullback-Leibler divergence over time of <dataset>
 distribution to <dsname2> distribution.
 Output to <outfile> if 
\series bold
klout
\series default
 specified.
\end_layout

\begin_layout Description
[amd
\begin_inset space ~
\end_inset

<amdboost_data>] Reweight histogram using AMD boost data from data set <amdboost
_data> (in KT).
\end_layout

\end_deeper
\begin_layout Standard
Histogram 1D data set using a Gaussian kernel density estimator.
\end_layout

\begin_layout Subsection
lifetime
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-lifetime"

\end_inset


\end_layout

\begin_layout LyX-Code
lifetime [out <filename>] <dsetarg0> [ <dsetarg1> ...
 ]
\end_layout

\begin_layout LyX-Code
     	[window <windowsize> [name <setname>]] [averageonly]
\end_layout

\begin_layout LyX-Code
     	[cumulative] [delta] [cut <cutoff>] [greater | less] [rawcurve]
\end_layout

\begin_layout LyX-Code
         [fuzz <fuzzcut>] [nosort]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<filename>]
\series default
 Write results to file named <filename>, and lifetime curves to 'crv.<filename>'.
 If performing windowed lifetime analysis, <filename> contains the fraction
 present over time windows, and 2 additional files are written: 'max.<filename>',
 containing max lifetime over windows, and 'avg.<filename>', containing average
 lifetime over windows.
\end_layout

\begin_layout Description

\series bold
<dsetarg0>
\begin_inset space ~
\end_inset

[<dsetarg1>
\begin_inset space ~
\end_inset

...]
\series default
 Argument(s) specifying datasets to be used.
\end_layout

\begin_layout Description

\series bold
[window
\begin_inset space ~
\end_inset

<windowsize>]
\series default
 Size of window (in frames) over which to calculate lifetimes/averages.
 If not specified lifetime/average will be calculated over all frames.
\end_layout

\begin_layout Description

\series bold
[name
\begin_inset space ~
\end_inset

<setname>]
\series default
 Store results in data sets with name <setname>.
\end_layout

\begin_layout Description

\series bold
[averageonly] 
\series default
Just calculate averages (no lifetime analysis).
\end_layout

\begin_layout Description

\series bold
[cumulative]
\series default
 Calculate cumulative lifetimes/averages over windows.
\end_layout

\begin_layout Description
[delta] Calculate difference from previous window average.
\end_layout

\begin_layout Description

\series bold
[cut
\begin_inset space ~
\end_inset

<cutoff>]
\series default
 Cutoff to use when determining if data is 'present' (default 0.5).
\end_layout

\begin_layout Description
[greater] Data is considered present when above the cutoff (default).
\end_layout

\begin_layout Description
[less] Data is considered present when below the cutoff.
\end_layout

\begin_layout Description
[rawcurve] Do not normalize lifetime curves to 1.0.
\end_layout

\begin_layout Description
[fuzz
\begin_inset space ~
\end_inset

<fuzzcut>] Ignore changes in lifetime state that are less than <fuzzcut>
 frames.
\end_layout

\begin_layout Description
[nosort] Do not sort data sets by name.
\end_layout

\begin_layout Standard
Data Sets Created:
\end_layout

\begin_layout Description
<setname> Number of lifetimes for each set, or if 
\series bold
window
\series default
 specified fraction present over time windows.
\end_layout

\begin_layout Description
<setname>[max] Maximum lifetime for each set, or if 
\series bold
window
\series default
 specified maximum lifetime over time windows.
\end_layout

\begin_layout Description
<setname>[avg] Average lifetime for each set, or if 
\series bold
window
\series default
 specified average lifetime over time windows.
\end_layout

\begin_layout Description
<setname>[curve] Lifetime curves.
\end_layout

\begin_layout Standard
The following are created only if 
\series bold
window
\series default
 not specified:
\end_layout

\begin_layout Description
<setname>[frames] Total number of frames lifetime present for each set.
\end_layout

\begin_layout Description
<setname>[name] Name of each set.
\end_layout

\end_deeper
\begin_layout Standard
Perform lifetime analysis for specified data sets.
 Lifetime data can either be determined for the entire set, or for time
 windows of specified size within the set if 
\series bold
window
\series default
 specified.
\end_layout

\begin_layout Standard
A 
\begin_inset Quotes eld
\end_inset

lifetime
\begin_inset Quotes erd
\end_inset

 is defined as the length of time something remains 'present'; data is considere
d present when above or below a certain cutoff (the default is greater than
 0.5, useful for analysis of 
\series bold
\shape italic
hbond
\series default
\shape default
 time series data).
 For example, in the case of a hydrogen bond 
\series bold
'series'
\series default
 data set, if a hydrogen bond is present during a frame the value is 1,
 otherwise it is 0.
 Given the hbond time series data set {1 1 1 0 1 0 0 0 1 1}, the overall
 fraction present is 0.6.
 However, there are 3 lifetimes of lengths 3, 1, and 2 ({1 1 1}, {1}, and
 {1 1}).
 The maximum lifetime is 3 and the average lifetime is 2.0, i.e.
 (3 + 1 + 2) / 3 lifetimes = 2.0.
 One can also construct a 
\begin_inset Quotes eld
\end_inset

lifetime curve
\begin_inset Quotes erd
\end_inset

, which is constructed as the sum of all individual lifetimes.
 By default these curves are normalized to 1.0, but the raw curve can be
 obtained using the 
\series bold
rawcurve
\series default
 keyword.
 For the example data set here the raw lifetime curve would be 3 frames
 long:
\end_layout

\begin_layout LyX-Code
       1 1 1
\end_layout

\begin_layout LyX-Code
       1
\end_layout

\begin_layout LyX-Code
       1 1
\end_layout

\begin_layout LyX-Code
Curve: 3 2 1
\end_layout

\begin_layout Standard
By default data sets are sorted by name unless 
\series bold
nosort
\series default
 is specified.
 The lifetime command can calculate lifetimes over specific time windows
 by using the 
\series bold
window
\series default
 keyword.
 This can be particularly useful if one wants to get a sense for how lifetimes
 are changing over the course of very long time series data.
 In addition, averages can be calculated instead of lifetimes by specifying
 
\series bold
averageonly
\series default
.
 Cumulative averages over windows can be obtained using the 
\series bold
cumulative
\series default
 keyword, or the change from the average value in the previous window can
 be obtained using the 
\series bold
delta
\series default
 keyword.
\end_layout

\begin_layout Standard
The 
\series bold
fuzz
\series default
 keyword can be used to try and smooth the input data by ignoring changes
 in state that occur for fewer frames than <fuzzcut>.
 For example, in the above example hbond time series data set there is a
 one frame change in state between the first and second lifetimes which
 could be interpreted as a transient breaking of the hydrogen bond.
 Using a <fuzzcut> value of 1, this one frame change in state would be ignored,
 and the data set would effectively appear to lifetime as {1 1 1 1 1 0 0
 0 1 1}.
 The state change between the second and third lifetimes is longer than
 <fuzzcut> (3 frames) and so it would remain.
\end_layout

\begin_layout Standard
If 
\series bold
window
\series default
 is not specified, two files are output: <filename> and crv.<filename>.
 The file <filename> contains overall lifetime stats for each set with format:
\end_layout

\begin_layout LyX-Code
#Set <setname> <setname>[max] <setname>[avg] <setname>[frames] <setname>[name]
\end_layout

\begin_layout Standard
where 
\family typewriter
<setname>
\family default
 denotes the total number of lifetimes, 
\family typewriter
<setname>[max]
\family default
 denotes the maximum lifetime, 
\family typewriter
<setname>[avg] 
\family default
denotes the average lifetime, 
\family typewriter
<setname>[frames]
\family default
 denotes the total number of frames present in all lifetimes, and 
\family typewriter
<setname>[name] 
\family default
is the data set name.
 The file crv.<filename> contains the lifetime curves for each set.
\end_layout

\begin_layout Standard
If 
\series bold
window
\series default
 is specified, four files are output: <filename>, max.<filename>, avg.<filename>,
 and crv.<filename>.
 <filename> contains the fraction 
\begin_inset Quotes eld
\end_inset

present
\begin_inset Quotes erd
\end_inset

 over each time window for each set, max.<filename> contains the maximum
 lifetime in each time window for each set, avg.<filename> contains the average
 lifetime over each window for each set, and crv.<filename> contains the
 overall lifetime curves for each set.
 For window output, Gnuplot format is recommended.
\end_layout

\begin_layout Subsubsection*
Example: hbond lifetime analysis
\end_layout

\begin_layout LyX-Code
parm DPDP.parm7
\end_layout

\begin_layout LyX-Code
trajin DPDP.nc
\end_layout

\begin_layout LyX-Code
hbond HB out hbond.dat @N,H,C,O series uuseries solutehb.agr 
\backslash

\end_layout

\begin_layout LyX-Code
  avgout hbavg.dat printatomnum
\end_layout

\begin_layout LyX-Code
# 'run' is used here to process the trajectory and generate hbond data
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
# Perform lifetime analysis
\end_layout

\begin_layout LyX-Code
runanalysis lifetime HB[solutehb] out lifehb.dat
\end_layout

\begin_layout Standard
Calculate ion lifetimes from hbond over windows of size 100 frames:
\end_layout

\begin_layout LyX-Code
hbond ION out ion.dat solventdonor :WAT solventacceptor :WAT@O series
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
lifetime HB[solventhb] out ion.lifetime.100.gnu window 100
\end_layout

\begin_layout Subsection
lowestcurve
\end_layout

\begin_layout LyX-Code
lowestcurve points <# lowest> [step <stepsize>] <dset0> [<dset1> ...]
\end_layout

\begin_layout LyX-Code
                   [out <file>] [name <setname>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<#
\begin_inset space ~
\end_inset

lowest> Number of lowest points in each bin to average over.
\end_layout

\begin_layout Description
[step
\begin_inset space ~
\end_inset

<stepsize>] Bin step size
\end_layout

\begin_layout Description
<dset0>
\begin_inset space ~
\end_inset

[<dset1>
\begin_inset space ~
\end_inset

...] Data set(s) to use.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] File to write lowest curve to.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<setname>] Output lowest curve set name.
\end_layout

\end_deeper
\begin_layout Standard
Calculate a curve of the average of the # lowest points in bins of stepsize.
 Essentially each input data set is binned over bins of stepsize, then the
 lowest <#> points are averaged over for each bin.
\end_layout

\begin_layout Subsection
meltcurve
\end_layout

\begin_layout LyX-Code
meltcurve <dset0> [<dset1> ...] [out <outfile>] [name <outsetname>] cut <cut>
\end_layout

\begin_layout Standard
Calculate melting curve from input data sets (i.e.
 fraction 'folded' for each data set) assuming a simple 2-state transition
 model, using data below <cut>as 'folded' and data above <cut> as 'unfolded'.
\end_layout

\begin_layout Subsection
modes
\end_layout

\begin_layout LyX-Code
modes {fluct|displ|corr|eigenval|trajout|rmsip} name <modesname> [name2
 <modesname>]
\end_layout

\begin_layout LyX-Code
  	[beg <beg>] [end <end>] [bose] [factor <factor>] [calcall]
\end_layout

\begin_layout LyX-Code
  	[out <outfile>] [setname <name>]
\end_layout

\begin_layout LyX-Code
    Options for 'trajout': (Generate pseudo-trajectory)
\end_layout

\begin_layout LyX-Code
  	[trajout <name> parm <name> | parmindex <#>
\end_layout

\begin_layout LyX-Code
  	  [trajoutfmt <format>] [trajoutmask <mask>]
\end_layout

\begin_layout LyX-Code
	    [pcmin <pcmin>] [pcmax <pcmax>] [tmode <mode>]]
\end_layout

\begin_layout LyX-Code
    Options for 'corr': (Calculate dipole correlation)
\end_layout

\begin_layout LyX-Code
  	{ maskp <mask1> <mask2> [...] | mask1 <mask> mask2 <mask> }
\end_layout

\begin_layout LyX-Code
  	parm <name> | parmindex <#>
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Standard
Types of Calculations:
\end_layout

\begin_layout Description

\series bold
fluct
\series default
 RMS fluctuations (X, Y, Z, and total) for each atom across specified normal
 modes.
\end_layout

\begin_layout Description

\series bold
displ
\series default
 Displacement of cartesian coordinates in the X, Y and Z directions for
 each atom across specified normal modes.
\end_layout

\begin_layout Description

\series bold
corr
\series default
 Dipole-dipole correlation functions.
 Must also specify 
\series bold
maskp
\series default
 (see below).
\end_layout

\begin_layout Description
eigenval Calculate eigenvalue fractions.
\end_layout

\begin_layout Description
trajout Create a pseudo-trajectory along the given mode from the average
 structure.
\end_layout

\begin_layout Description
rmsip Calculate the root-mean-square inner product between modes specified
 by 
\series bold
name
\series default
 and 
\series bold
name2
\series default
.
\end_layout

\begin_layout Standard
Options:
\end_layout

\begin_layout Description

\series bold
name
\begin_inset space ~
\end_inset

<modesname>
\series default
 Previously read-in or generated Modes data set name.
\end_layout

\begin_layout Description

\series bold
[beg
\begin_inset space ~
\end_inset

<beg>]
\begin_inset space ~
\end_inset

[end
\begin_inset space ~
\end_inset

<end>]
\series default
 If modes taken from datafile, beginning and end modes to read.
 Default for 
\shape italic
beg
\shape default
 is 7 (which skips the first 6 zero-frequency modes in the case of a normal
 mode analysis); for 
\shape italic
end
\shape default
 it is 50.
\end_layout

\begin_layout Description

\series bold
[bose]
\series default
 Use quantum (Bose) statistics in populating the modes.
\end_layout

\begin_layout Description

\series bold
[factor
\begin_inset space ~
\end_inset

<factor>]
\series default
 multiplicative constant on the amplitude of displacement/pseudo-trajectory,
 default 1.0.
\end_layout

\begin_layout Description
[calcall] If specified use all eigenvectors; otherwise eigenvectors associated
 with zero or negative eigenvalues will be skipped.
\end_layout

\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<outfile>]
\series default
 File to write data results to.
 If not given results are written to STDOUT.
\end_layout

\begin_layout Description
[setname
\begin_inset space ~
\end_inset

<name>] Output data set name.
\end_layout

\begin_layout Standard
Options for 'trajout':
\end_layout

\begin_layout Description
<name> Output trajectory file name.
\end_layout

\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<parmfile/tag>|parmindex
\begin_inset space ~
\end_inset

<#>] Topology file to use (default first Topology loaded).
\end_layout

\begin_layout Description
[trajoutfmt
\begin_inset space ~
\end_inset

<format>] Output trajectory format.
\end_layout

\begin_layout Description
[trajoutmask
\begin_inset space ~
\end_inset

<mask>] Mask of atoms that correspond to how modes were originally generated.
\end_layout

\begin_layout Description
[pcmin
\begin_inset space ~
\end_inset

<pcmin>] Lowest principal component projection value to use for output trajector
y.
\end_layout

\begin_layout Description
[pcmax
\begin_inset space ~
\end_inset

<pcmax>] Highest principal component projection value to use for output
 trajectory.
\end_layout

\begin_layout Description
[tmode
\begin_inset space ~
\end_inset

<mode>] Mode to generate pseudo-trajectory for.
\end_layout

\begin_layout Standard
Options for 'corr':
\end_layout

\begin_layout Description

\series bold
[maskp
\begin_inset space ~
\end_inset

<mask1>
\begin_inset space ~
\end_inset

<mask2>
\begin_inset space ~
\end_inset

[...]]
\series default
 If 
\series bold
corr
\series default
, pairs of atom masks (
\shape italic
mask1
\shape default
, 
\shape italic
mask2
\shape default
; each pair preceded by 
\begin_inset Quotes eld
\end_inset


\family typewriter
maskp
\family default

\begin_inset Quotes erd
\end_inset

 and each mask defining only a single atom) have to be given that specify
 the atoms for which the correlation functions are desired.
\end_layout

\begin_layout Description
mask1
\begin_inset space ~
\end_inset

<mask>
\begin_inset space ~
\end_inset

mask2
\begin_inset space ~
\end_inset

<mask> Instead of 
\series bold
maskp
\series default
, specify two masks; atoms from the first mask will be paired up with atoms
 from the second mask.
\end_layout

\begin_layout Standard
DataSets Created (fluct)
\end_layout

\begin_layout Description
<name>[rmsX] RMS fluctuations in the X direction.
\end_layout

\begin_layout Description
<name>[rmsY] RMS fluctuations in the Y direction.
\end_layout

\begin_layout Description
<name>[rmsZ] RMS fluctuations in the Z direction.
\end_layout

\begin_layout Description
<name>[rms] Total RMS fluctuations.
\end_layout

\begin_layout Standard
DataSets Created (displ)
\end_layout

\begin_layout Description
<name>[displX] Displacement in X direction.
\end_layout

\begin_layout Description
<name>[displY] Displacement in Y direction.
\end_layout

\begin_layout Description
<name>[displZ] Displacement in Z direction.
\end_layout

\begin_layout Standard
DataSets Created (eigenval)
\end_layout

\begin_layout Description
<name>[Frac] Fraction eigenvalue contributes to overall motion.
\end_layout

\begin_layout Description
<name>[Cumulative] Cumulative fraction.
\end_layout

\begin_layout Description
<name>[Eigenval] Value of eigenvlue.
\end_layout

\begin_layout Standard
DataSets Created (rmsip)
\end_layout

\begin_layout Description
<name> Result of RMSIP calculation.
\end_layout

\end_deeper
\begin_layout Standard
Analyze previously calculated eigenmodes obtained from principal component
 analyses (of covariance matrices) or quasiharmonic analyses (diagmatrix
 analysis command).
 Modes are taken from a previously generated data set (i.e.
 from 
\series bold
\shape italic
diagmatrix
\series default
\shape default
) or read in from a data file with 
\series bold
\shape italic
readdata
\series default
\shape default
.
 By default, classical (Boltzmann) statistics are used in populating the
 modes.
 A possible series of commands would be 
\begin_inset Quotes eld
\end_inset


\family sans
\series bold
matrix
\family typewriter
\series default
 covar
\family default
 
\begin_inset Formula $\vert$
\end_inset

 
\family typewriter
mwcovar
\family default
 ...
\begin_inset Quotes erd
\end_inset

 to generate the matrix, 
\begin_inset Quotes eld
\end_inset


\family typewriter
\series bold
diagmatrix
\family default
\series default
 ...
\begin_inset Quotes erd
\end_inset

 to calculate the modes, and, finally, 
\begin_inset Quotes eld
\end_inset


\family typewriter
\series bold
modes
\family default
\series default
 ...
\begin_inset Quotes erd
\end_inset

.
 
\end_layout

\begin_layout Standard
For example, to calculate the RMS fluctuations or displacements of the first
 3 eigenmodes caluclated from a mass-weighted covariance matrix:
\end_layout

\begin_layout LyX-Code
matrix mwcovar name mwcvmat out mwcvmat.dat
\end_layout

\begin_layout LyX-Code
diagmatrix mwcvmat name evecs vecs 5
\end_layout

\begin_layout LyX-Code
modes fluct out rmsfluct.dat name evecs beg 1 end 3
\end_layout

\begin_layout LyX-Code
modes displ out resdispl.dat name evecs beg 1 end 3
\end_layout

\begin_layout Standard
Additionally, dipole-dipole correlation functions for modes obtained from
 principle component analysis or quasiharmonic analysis can be computed.
\end_layout

\begin_layout LyX-Code
modes corr out cffromvec.dat name evecs beg 1 end 3 
\backslash

\end_layout

\begin_layout LyX-Code
      maskp @1 @2 maskp @3 @4 maskp @5 @6
\end_layout

\begin_layout Standard
or
\end_layout

\begin_layout LyX-Code
mode corr out cffromvec.dat name evecs beg 1 end 3 mask1 @1,3,5 mask2 @2,4,6
\end_layout

\begin_layout Standard
If 
\series bold
eigenval
\series default
 is specified, the fraction contribution of each eigenvector to the total
 motion is calculated and output with format:
\end_layout

\begin_layout LyX-Code
#Mode Frac.
 Cumulative Eigenval 
\end_layout

\begin_layout Standard
where 
\family typewriter
#Mode
\family default
 is the eigenvector number, 
\family typewriter
Frac.

\family default
 is the eigenvalue over the sum of all eigenvalues, 
\family typewriter
Cumulative
\family default
 is the cumulative sum of 
\family typewriter
Frac.
\family default
, and 
\family typewriter
Eigenval
\family default
 is the eigenvalue itself.
 Note that in order to get an idea for how much each eigenvector contributes
 to all motion, this is best used when all possible eigenvectors have been
 determined for a system.
\end_layout

\begin_layout Standard
In order to visualize eigenvectors, pseudo-trajectories along eigenvectors
 can be created using average coordinates with the 
\series bold
trajout
\series default
 keyword.
 For example, to write a pseudo-trajectory of the first principal component
 from principal component value of -100 to 100 for a previously calculated
 Modes data set corresponding to heavy atoms (no hydrogens) for residues
 1 to 36:
\end_layout

\begin_layout LyX-Code
parm ../GAAC.nowat.parm7
\end_layout

\begin_layout LyX-Code
readdata evecs.dat
\end_layout

\begin_layout LyX-Code
runanalysis modes name evecs.dat trajout test.nc trajoutfmt netcdf 
\backslash

\end_layout

\begin_layout LyX-Code
            trajoutmask :1-36&!@H= pcmin -100 pcmax 100 tmode 1
\end_layout

\begin_layout Subsection
multicurve
\end_layout

\begin_layout LyX-Code
multicurve set <dset> [set <dset> ...] 
\end_layout

\begin_layout LyX-Code
           <dset> { <equation> |
\end_layout

\begin_layout LyX-Code
                    name <dsname> nexp <m> [form {mexp|mexpk|mexpk_penalty}
 }
\end_layout

\begin_layout LyX-Code
           [AX=<value> ...] [out <outfile>] [resultsout <results>]
\end_layout

\begin_layout LyX-Code
           [maxit <max iterations>] [tol <tolerance>]
\end_layout

\begin_layout LyX-Code
           [outxbins <NX> outxmin <xmin> outxmax <xmax>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
set
\begin_inset space ~
\end_inset

<dset>
\begin_inset space ~
\end_inset

[set
\begin_inset space ~
\end_inset

<dset>
\begin_inset space ~
\end_inset

...] Data set(s) to fit.
\end_layout

\begin_layout Description
<equation> Equation to fit of form <Variable> = <Equation>.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-Data-Set-Math"

\end_inset

 for more details on equations 
\emph on
cpptraj
\emph default
 understands.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<dsname> Name of output data sets (required if using 
\series bold
nexp
\series default
).
\end_layout

\begin_layout Description
nexp
\begin_inset space ~
\end_inset

<m> Fit to specified number of exponentials.
\end_layout

\begin_layout Description
form
\begin_inset space ~
\end_inset

<type> Fit to specified exponential form:
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
mexp Multi-exponential, SUM(m)[ An * exp(An+1 * X)]
\end_layout

\begin_layout Description
mexpk Multi-exponential plus constant, A0 + SUM(m)[An * exp(An+1 * X)]
\end_layout

\begin_layout Description
mexpk_penalty Same as mexpk except sum of prefactors constrained to 1.0 and
 exponential constants constrained to < 0.0.
\end_layout

\end_deeper
\begin_layout Description
AX=<value> Value of any constants in specified equation with X starting
 from 0 (can specify more than one).
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<outfile> Write resulting fit curve to <outfile>.
\end_layout

\begin_layout Description
resultsout
\begin_inset space ~
\end_inset

<results> Write details of the fit to <results> (default STDOUT).
\end_layout

\begin_layout Description
maxit
\begin_inset space ~
\end_inset

<max
\begin_inset space ~
\end_inset

iterations> Number of iterations to run curve fitting algotrithm (default
 50).
\end_layout

\begin_layout Description
tol
\begin_inset space ~
\end_inset

<tolerance> Curve-fitting tolerance (default 1E-4).
\end_layout

\begin_layout Description
outxbins
\begin_inset space ~
\end_inset

<NX> Number of points to use when generating final curve (default same number
 of points as input data set).
\end_layout

\begin_layout Description
outxmin
\begin_inset space ~
\end_inset

<xmin> Minimum X value to use for final curve (default same number of points
 as input data set).
\end_layout

\begin_layout Description
outxmax
\begin_inset space ~
\end_inset

<xmax> Maximum X value to use for final curve (default same number of points
 as input data set).
\end_layout

\end_deeper
\begin_layout Standard
Fit each input data set <dset> to <equation>.
 See the 
\series bold
\emph on
curvefit
\series default
\emph default
 command 
\begin_inset CommandInset ref
LatexCommand vpageref
reference "subsec:cpptraj_curvefit"

\end_inset

 for more details.
\end_layout

\begin_layout Subsection
multihist
\end_layout

\begin_layout LyX-Code
multihist [out <filename>] [name <dsname>] [norm | normint] [kde]
\end_layout

\begin_layout LyX-Code
          [min <min>] [max <max>] [step <step>] [bins <bins>] [free <T>]
\end_layout

\begin_layout LyX-Code
          <dsetarg0> [ <dsetarg1> ...
 ]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
out
\begin_inset space ~
\end_inset

<filename> Output file.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<dsname> Name for resulting histogram data sets.
\end_layout

\begin_layout Description
norm (Only used if not kde) Normalize so that max bin is 1.0.
\end_layout

\begin_layout Description
normint (Default for kde) Normalize integral over histogram to 1.0.
\end_layout

\begin_layout Description
kde Use kernel density estimator to construct histogram.
\end_layout

\begin_layout Description
min
\begin_inset space ~
\end_inset

<min> Histogram minimum (default data set minimum).
\end_layout

\begin_layout Description
max
\begin_inset space ~
\end_inset

<max> Histogram maximum (default data set maximum).
\end_layout

\begin_layout Description
step
\begin_inset space ~
\end_inset

<step> Histogram step.
\end_layout

\begin_layout Description
bins
\begin_inset space ~
\end_inset

<bins> Number of histogram bins.
\end_layout

\begin_layout Description
free
\begin_inset space ~
\end_inset

<T> Calculate free energy from bin populations as G = -R * <T> * ln( Ni
 / Nmax ).
\end_layout

\begin_layout Description
<dsetargX> Data set argument - may specify more than one.
\end_layout

\end_deeper
\begin_layout Standard
Histogram each data set separately in 1D.
 Must specify at least 
\series bold
bins
\series default
 or 
\series bold
step
\series default
.
\end_layout

\begin_layout Subsection
phipsi
\end_layout

\begin_layout LyX-Code
phipsi <dsarg0> [<dsarg1> ...] resrange <range> [out <file>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<dsargX> Argument selecting data sets.
 Can specify more than 1.
\end_layout

\begin_layout Description
resrange
\begin_inset space ~
\end_inset

<range> Residue range to use (actually uses data set index).
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<file>] Output file.
\end_layout

\end_deeper
\begin_layout Standard
Calculate the average and standard deviation of [phi] and [psi] data set
 pairs, write to <file> with format:
\end_layout

\begin_layout LyX-Code
#Phi Psi SD(Phi) SD(Psi) Legend
\end_layout

\begin_layout Standard
Where Phi is the average value of phi, Psi is the average value of psi,
 SD(Phi) is the standard deviation of phi, SD(psi) is the standard deviation
 of psi, and Legend contains text describing the phi and psi data sets used
 in the calculation.
 Periodicity is taken into account during averaging.
 The data sets must have been internally labeled as type 'phi'/'psi' and
 must have a data set index set (actions like dihedral and multidihedral
 do this automatically).
 For example:
\end_layout

\begin_layout LyX-Code
parm ../DPDP.parm7
\end_layout

\begin_layout LyX-Code
trajin ../DPDP.nc
\end_layout

\begin_layout LyX-Code
multidihedral DPDP phi psi
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code
phipsi DPDP[phi] DPDP[psi] out phipsi.dat resrange 1-22
\end_layout

\begin_layout Subsection
regress
\end_layout

\begin_layout LyX-Code
regress <dset0> [<dset1> ...] [name <name>] [nx <nxvals>]
\end_layout

\begin_layout LyX-Code
    	[out <filename>] [statsout <filename>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
dsetX Data set(s) to perform linear regression for.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<name> Data set name for resulting linear fits.
\end_layout

\begin_layout Description
nx
\begin_inset space ~
\end_inset

<nxvals> Number of X values to use in output data set(s) (ranging from input
 set min to max X).
 If not specified, input X values used.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<filename> File to write fit lines to.
\end_layout

\begin_layout Description
statsout
\begin_inset space ~
\end_inset

<filename> File to write fit statistics to.
\end_layout

\begin_layout Standard
DataSets Generated:
\end_layout

\begin_layout Description
<name>:<idx> Output fit line(s) (indexed by input set order if more than
 one input set).
\end_layout

\begin_layout Description
<name>[slope]:<idx> Output fit line slope(s).
\end_layout

\begin_layout Description
<name>[intercept]:<idx> Output fit line intercept(s).
\end_layout

\end_deeper
\begin_layout Standard
Perform linear regression on the specified data set(s).
 The fit line is calculated using either the input X values or 
\series bold
<nxvals>
\series default
 values ranging from the input set minimum to maximum X.
 Statistics for the fit(s) are saved to the file specified by 
\series bold
statsout
\series default
 or reported to STDOUT.
 
\end_layout

\begin_layout Standard
For example, to fit data read in from a file and then create a set using
 the fit parameters:
\end_layout

\begin_layout LyX-Code
readdata esurf_vs_rmsd.dat.txt index 1 name XY
\end_layout

\begin_layout LyX-Code
runanalysis regress XY name FitXY statsout statsout.dat
\end_layout

\begin_layout LyX-Code
createset "Y = FitXY[slope] * X + FitXY[intercept]" xstep .2 nx 100
\end_layout

\begin_layout LyX-Code
writedata Y.dat Y
\end_layout

\begin_layout Subsection
remlog
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-remlog"

\end_inset


\end_layout

\begin_layout LyX-Code
remlog {<remlog dataset> | <remlog filename>} [out <filename>] [crdidx |
 repidx]
\end_layout

\begin_layout LyX-Code
   	[stats [statsout <file>] [printtrips] [reptime <file>]] [lifetime <file>]
\end_layout

\begin_layout LyX-Code
   	[reptimeslope <n> reptimeslopeout <file>] [acceptout <file>] [name <setname>
]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
       [edata [edataout <file>]]
\end_layout

\begin_deeper
\begin_layout Description
<remlog
\begin_inset space ~
\end_inset

dataset> Previously read-in REM log data.
\end_layout

\begin_layout Description
<remlog
\begin_inset space ~
\end_inset

filename> REM log file name to read in.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write replica/coordinate index versus time to <filename>.
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
crdidx Print coordinate index vs exchange; output sets contain replica indices.
 
\end_layout

\begin_layout Description
repidx Print replica index vs exchange; output sets contain coordinate indices.
 
\end_layout

\end_deeper
\begin_layout Description
stats
\begin_inset space ~
\end_inset

[statsout
\begin_inset space ~
\end_inset

<file>] Calculate round-trip statistics and optionally write to <file>.
\end_layout

\begin_layout Description
printtrips Print details of each individual round trip.
\end_layout

\begin_layout Description
[reptime
\begin_inset space ~
\end_inset

<file>] Write time spent at each replica to <file>.
\end_layout

\begin_layout Description
[lifetime
\begin_inset space ~
\end_inset

<file>] Print lifetime data at each replica to <file>.
\end_layout

\begin_layout Description
[reptimeslope
\begin_inset space ~
\end_inset

<n>] Calculate the slope of time spent at each replica every <n> exchanges.
\end_layout

\begin_layout Description
[reptimeslopeout
\begin_inset space ~
\end_inset

<file>] File to write 
\series bold
reptimeslope
\series default
 output to.
\end_layout

\begin_layout Description
[acceptout
\begin_inset space ~
\end_inset

<file>] Write overall exchange acceptances to <file>.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<setname>] Output data set name.
\end_layout

\begin_layout Description
[edata
\begin_inset space ~
\end_inset

[edataout
\begin_inset space ~
\end_inset

<file>]] Extract energy data from replica log, optionally write to file.
\end_layout

\begin_layout Standard
DataSets created:
\end_layout

\begin_layout Description
<setname>:<idx> Replica/coordinate index vs exchange.
\end_layout

\begin_layout Description
<setname>[E]:<idx> If 'edata' specified, energy data from replica log.
\end_layout

\end_deeper
\begin_layout Standard
Analyze previously read in (via 
\series bold
\emph on
readdata
\series default
\emph default
) M-REMD/T-REMD/H-REMD replica log data.
 Statistics calculated include round-trip time, which is the time needed
 for a coordinate set to travel from the lowest replica to the highest and
 back, and the number of exchanges each coordinate spent at each replica.
 For example, to read in REM log data from an Amber M-REMD run and analyze
 it:
\end_layout

\begin_layout LyX-Code
readdata rem.log.1.save rem.log.2.save dimfile remd.dim as remlog nosearch 
\end_layout

\begin_layout LyX-Code
remlog rem.log.1.save stats reptime mremdreptime.dat 
\end_layout

\begin_layout Standard
For an example of 
\series bold
\emph on
remlog
\series default
\emph default
 analysis applied to actual REMD data, see Roe et al.
\begin_inset CommandInset citation
LatexCommand citep
key "Roe2014"
literal "true"

\end_inset

.
\end_layout

\begin_layout Subsection
rms2d
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-rms2d"

\end_inset

 | 2drms
\end_layout

\begin_layout LyX-Code
rms2d
\begin_inset Index idx
status collapsed

\begin_layout Plain Layout
rms2d
\end_layout

\end_inset

 [crdset <crd set>] [<name>] [<mask>] [out <filename>]
\end_layout

\begin_layout LyX-Code
      [dme | nofit | srmsd] [mass]
\end_layout

\begin_layout LyX-Code
      [reftraj <traj> [parm <parmname> | parmindex <parm#>] [<refmask>]]
\end_layout

\begin_layout LyX-Code
      [corr <corrfilename>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[crdset
\begin_inset space ~
\end_inset

<crd
\begin_inset space ~
\end_inset

set>] Name of previously generated COORDS DataSet.
 If not specified the default COORDS set will be used.
\end_layout

\begin_layout Description
[<mask>] Mask of atoms to calculate 2D-RMSD for.
 Default is all atoms.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write results to <filename>.
\end_layout

\begin_layout Description
[dme] Calculate distance RMSD instead of coordinate RMSD; this is substantially
 slower.
\end_layout

\begin_layout Description
[nofit] Calculate RMSD without fitting.
\end_layout

\begin_layout Description
[srmsd] Calculate symmetry-corrected RMSD (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_symmrmsd"

\end_inset

).
\end_layout

\begin_layout Description
[mass] Mass-weight RMSD.
\end_layout

\begin_layout Description
[reftraj
\begin_inset space ~
\end_inset

<traj>] Calculate 2D RMSD to frames in trajectory <traj> instead (can also
 be another COORDS set).
\end_layout

\begin_layout Description
[parm
\begin_inset space ~
\end_inset

<parmname>
\begin_inset space ~
\end_inset

|
\begin_inset space ~
\end_inset

parmindex
\begin_inset space ~
\end_inset

<#>] Topology to use for <traj>; only useful in conjunction with 
\series bold
reftraj
\series default
.
\end_layout

\begin_layout Description
[<refmask>] Mask of atoms in reference; only useful in conjunction with
 
\series bold
reftraj
\series default
.
\end_layout

\begin_layout Description
[corr
\begin_inset space ~
\end_inset

<corrfilename>] Calculate pseudo-auto-correlation 
\shape italic
C
\shape default
 for 2D-RMSD as 
\begin_inset Formula $C(i)=\frac{\sum_{j=0}^{j<N-i}\exp(-RMSD(j,j+i))}{N-i}$
\end_inset

, where 
\shape italic
i
\shape default
 is the lag, 
\shape italic
j
\shape default
 is the frame #, and 
\shape italic
N
\shape default
 is the total number of frames.
 An exponential is used to weight the RMSD since 0.0 RMSD is equivalent to
 correlation of 1.0.
 This can only be done if 
\series bold
reftraj
\series default
 is not used.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[Corr] (
\series bold
corr
\series default
 only) Pseudo-auto-correlation.
\end_layout

\end_deeper
\begin_layout Standard

\shape italic
Note: For backwards compatibility with ptraj the command '2drms' will also
 work.
\end_layout

\begin_layout Standard
Calculate the best-fit RMSD of each frame in <crd set> (the default COORDS
 set if none specified) to each other frame.
 This creates an upper-triangle matrix named <name> (or a full matrix if
 
\series bold
reftraj
\series default
 specified).
 The output of the rms2d command can be best-viewed using gnuplot; a gnuplot-for
matted file can be produced by giving <filename> a '.gnu' extension.
 For example, to calculate the RMSD of non-hydrogen atoms of each frame
 in trajectory 
\begin_inset Quotes eld
\end_inset

test.nc
\begin_inset Quotes erd
\end_inset

 to each other frame, writing to a gnuplot-viewable file 
\begin_inset Quotes eld
\end_inset

test.2drms.gnu
\begin_inset Quotes erd
\end_inset

:
\end_layout

\begin_layout LyX-Code
trajin test.nc
\end_layout

\begin_layout LyX-Code
rms2d !(@H=) out test.2drms.gnu
\end_layout

\begin_layout Standard
To calculate the RMSD of atoms named CA of each frame in trajectory 
\begin_inset Quotes eld
\end_inset

test.nc
\begin_inset Quotes erd
\end_inset

 to each frame in 
\begin_inset Quotes eld
\end_inset

ref.nc
\begin_inset Quotes erd
\end_inset

 (assuming test.nc and ref.nc are using the default topology file):
\end_layout

\begin_layout LyX-Code
trajin test.nc
\end_layout

\begin_layout LyX-Code
rms2d @CA out test.2drms.gnu reftraj ref.nc
\end_layout

\begin_layout Subsection
rmsavgcorr
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-rmsavgcorr"

\end_inset


\end_layout

\begin_layout LyX-Code
rmsavgcorr
\begin_inset Index idx
status open

\begin_layout Plain Layout
rmsavgcorr
\end_layout

\end_inset

 [crdset <crd set>] [<name>] [<mask>] [out <filename>] [mass]
\end_layout

\begin_layout LyX-Code
       	[stop <maxwindow>] [offset <offset>]
\end_layout

\begin_layout LyX-Code
       	{reference <ref file> parm <parmfile> | first}
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
[crdset
\begin_inset space ~
\end_inset

<crd
\begin_inset space ~
\end_inset

set>] COORDS data set to use (if not specified the default COORDS set will
 be used).
\end_layout

\begin_layout Description
[<name>] Output data set name.
\end_layout

\begin_layout Description
[<mask>] Atoms to calculate RMS average correlation for.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Output filename.
\end_layout

\begin_layout Description
[mass] Mass weight the RMSD calculation.
\end_layout

\begin_layout Description
[stop
\begin_inset space ~
\end_inset

<maxwindow>] Only calculate RMS average correlation up to <maxwindow>.
\end_layout

\begin_layout Description
[offset
\begin_inset space ~
\end_inset

<offset>] Skip every <offset> windows in calculation.
\end_layout

\begin_layout Description
[first] Use first averaged frame as reference for each window (default).
\end_layout

\begin_layout Description
[reference
\begin_inset space ~
\end_inset

<ref
\begin_inset space ~
\end_inset

file>
\begin_inset space ~
\end_inset

[parm
\begin_inset space ~
\end_inset

<parmfile>] Use reference file (with specified parm) as reference for each
 window.
\end_layout

\end_deeper
\begin_layout Standard
The RMS average correlation
\begin_inset CommandInset citation
LatexCommand citep
key "Roe13"
literal "true"

\end_inset

 (RAC) is calculated as the average RMSD of running-averaged coordinates
 over increasing window sizes (or lag).
 Output has format:
\end_layout

\begin_layout LyX-Code
<WindowSize> <RAC>
\end_layout

\begin_layout Standard
The first entry has a window size of 1, and so is just the average RMSD
 of all frames to the specified reference structure.
 The second entry has a window size of two, so it is the average RMSD of
 all frames averaged over two adjacent windows to the specified reference,
 and so on.
 The RAC will be calculated up to the number of frames minus 1 or the value
 specified by 
\series bold
stop
\series default
, whichever is lower.
 The offset can be used to speed up the calculation by skipping window sizes.
 To calculate mass-weighted RMSD specify 
\series bold
mass
\series default
.
 Note that to reduce memory costs it can be useful to strip all coordinates
 not involved in the RMS fit from the system prior to specifying 'rmsavgcorr'.
 For example, to calculate the correlation of C-alpha RMSD of residues 2
 to 12:
\end_layout

\begin_layout LyX-Code
strip !(:2-12@CA)
\end_layout

\begin_layout LyX-Code
rmsavgcorr out rmscorr.dat
\end_layout

\begin_layout Standard
The curve generated by RAC decays towards zero due to the way RAC is defined.
 By the time the "lag" is N-1 (where N is the total number of frames) you
 have only two averaged coordinates: call them Avg1 (averaged over 1 though
 N-1 frames) and Avg2 (averaged over 2 through N frames).
 Barring any extraordinary circumstances the RMSD between Avg1 and Avg2
 will almost certainly be quite low.
 
\end_layout

\begin_layout Standard
The RAC is a way to probe the time scales of interesting events.
 Any deviation from a smoothly decaying curve is an indication that there
 are some significant structural differences occurring over that time interval.
 RAC curves can be particularly useful when comparing independent simulations
 of the same system.
\end_layout

\begin_layout Standard
One thing to keep in mind that since the underlying metric is RMSD, it can
 be sensitive to the reference frame you choose.
 It may be useful to try looking at both RAC from the first frame, as well
 as an averaged reference frame.
 For an example of use see Galindo-Murillo et al.
\begin_inset CommandInset citation
LatexCommand citep
key "Galindo2015"
literal "true"

\end_inset

, in particular Figure 2.
\end_layout

\begin_layout Subsection
rotdif
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj-rotdif"

\end_inset


\end_layout

\begin_layout LyX-Code
rotdif [outfile <outfilename>] [usefft]
\end_layout

\begin_layout LyX-Code
  Options for generating random vectors:
\end_layout

\begin_layout LyX-Code
	[nvecs <nvecs>] [rvecin <randvecIn>] [rseed <random seed>]
\end_layout

\begin_layout LyX-Code
	[rvecout <randvecOut>] [rmatrix <set name> [rmout <rmOut>]]
\end_layout

\begin_layout LyX-Code
  Options for calculating vector time correlation functions:
\end_layout

\begin_layout LyX-Code
	[order <olegendre>] [ncorr <ncorr>] [corrout <corrOut>]
\end_layout

\begin_layout LyX-Code
  *** The options below only apply if 'usefft' IS NOT specified.
 ***
\end_layout

\begin_layout LyX-Code
  Options for calculating local effective D, small anisotropy:
\end_layout

\begin_layout LyX-Code
	[deffout <deffOut>] [itmax <itmax>] [tol <tolerance>] [d0 <d0>]
\end_layout

\begin_layout LyX-Code
	[nmesh <NmeshPoints>] dt <tfac> [ti <ti>] tf <tf>
\end_layout

\begin_layout LyX-Code
  Options for calculating D with full anisotropy:
\end_layout

\begin_layout LyX-Code
	[amoeba_tol <tolerance>] [amoeba_itmax <iterations>]
\end_layout

\begin_layout LyX-Code
	[amoeba_nsearch <n>] [scalesimplex <scale>] [gridsearch]
\end_layout

\begin_layout LyX-Code
  *** The options below only apply if 'usefft' IS specified.
 ***
\end_layout

\begin_layout LyX-Code
  Options for curve-fitting:
\end_layout

\begin_layout LyX-Code
	[fit_tol <tolerance>] [fit_itmax <max # iterations>]  
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
outfile
\begin_inset space ~
\end_inset

<outfilename> File to write all output from rotdif command to.
\end_layout

\end_deeper
\begin_layout LyX-Code

\family roman
\emph on
Options for generating random vectors:
\family default

\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
nvecs
\begin_inset space ~
\end_inset

<nvecs> Number of random vectors to generate (default 1000).
\end_layout

\begin_layout Description
rvecin
\begin_inset space ~
\end_inset

<randvecIn> File to read random vectors from (format is 1 per line, 4 columns,
 <#> <VX> <VY> <VZ>).
\end_layout

\begin_layout Description
rseed
\begin_inset space ~
\end_inset

<random
\begin_inset space ~
\end_inset

seed> Seed for random number generator (default 80531).
 Specify -1 to use wallclock time.
\end_layout

\begin_layout Description
rvecout
\begin_inset space ~
\end_inset

<randvecOut> File to write random vectors to (format is 1 per line, 4 columns,
 <#> <VX> <VY> <VZ>).
\end_layout

\begin_layout Description
rmatrix
\begin_inset space ~
\end_inset

<set
\begin_inset space ~
\end_inset

name> Data set to read rotation matrices from.
 Rotation matrices will be used to rotate random vectors.
\end_layout

\begin_layout Description
rmout
\begin_inset space ~
\end_inset

<rmOut> Write rotation matrices to file, 1 per line, frame # followed by
 matrix in row-major order.
\end_layout

\end_deeper
\begin_layout LyX-Code

\family roman
\emph on
Options for calculating vector time correlation functions:
\family default

\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
order
\begin_inset space ~
\end_inset

<olegendre> The order of Legendre polynomials to use when calculating vector
 time correlation functions (default 2).
\end_layout

\begin_layout Description
ncorr
\begin_inset space ~
\end_inset

<ncorr> Maximum length of time correlation functions in frames.
 If this is not specified it will be set to (
\series bold
tf
\series default
 - 
\series bold
ti
\series default
) / 
\series bold
dt
\series default
 (recommended).
\end_layout

\begin_layout Description
corrout
\begin_inset space ~
\end_inset

<corrOut> If specified write vector time correlation functions to <corrOut>.X
 with format: <Time> <Px>
\end_layout

\end_deeper
\begin_layout LyX-Code

\family roman
\emph on
Options for calculating local effective D, small anisotropy:
\family default

\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
deffout
\begin_inset space ~
\end_inset

<deffOut> File to write out local effective diffusion constants determined
 in the limit of small anisotropy.
\end_layout

\begin_layout Description
itmax
\begin_inset space ~
\end_inset

<itmax> Maximum number of iterations to determine each local effective diffusion
 constant (small anisotropy) assuming fit to single exponential form (default
 500).
\end_layout

\begin_layout Description
tol
\begin_inset space ~
\end_inset

<tolerance> Tolerance for determining local effective diffusion constant
 (small anisotropy) assuming fit to single exponential form (default 1E-6).
\end_layout

\begin_layout Description
d0
\begin_inset space ~
\end_inset

<d0> Initial guess for small anisotropy diffusion constant in radians^2/ns
 (default 0.03).
\end_layout

\begin_layout Description
nmesh
\begin_inset space ~
\end_inset

<NmeshPoints> Number of points per frame to use when creating cubic-splined-smoo
thed forms of vector time correlation curves (default 2).
\end_layout

\begin_layout Description
dt
\begin_inset space ~
\end_inset

<tfac> Time interval between frames (used in integrating vector time correlation
 curves) in ns.
\end_layout

\begin_layout Description
ti
\begin_inset space ~
\end_inset

<ti> Initial time value in ns for integrating the time correlation functions
 (default 0.0).
\end_layout

\begin_layout Description
tf
\begin_inset space ~
\end_inset

<tf> Final time value in ns for integrating the time correlation functions.
 It is recommended this be less than the maximum simulation time since the
 tails of time correlation functions tend to be noisy.
\end_layout

\end_deeper
\begin_layout LyX-Code

\family roman
\emph on
Options for calculating D with full anisotropy:
\family default

\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
amoeba_tol
\begin_inset space ~
\end_inset

<tolerance> Tolerance for downhill-simplex minimizer (default 1E-7).
\end_layout

\begin_layout Description
amoeba_itmax
\begin_inset space ~
\end_inset

<iterations> Number of iterations to run downhill-simplex minimizer (default
 10000).
\end_layout

\begin_layout Description
amoeba_nsearch
\begin_inset space ~
\end_inset

<n> Number of searches to perform with downhill-simplex minimizer (default
 1).
\end_layout

\begin_layout Description
scalesimplex
\begin_inset space ~
\end_inset

<scale> Factor to use when scaling simplexes (default 0.5).
\end_layout

\begin_layout Description
gridsearch If specified, perform a brute-force grid search to attempt to
 find a better solution for diffusion tensor with full anisotropy (may be
 expensive).
\end_layout

\end_deeper
\begin_layout Standard
Evaluate rotational diffusion properties of a molecule over a trajectory
 according to an expanded version of the procedure laid out by Wong & Case
\begin_inset CommandInset citation
LatexCommand citep
key "wong2008"
literal "true"

\end_inset

.
 Briefly, random vectors (representing the orientation of the molecule)
 are rotated according to rotation matrices obtained from an RMS fit to
 a reference structure (typically an averaged structure).
 For each random vector the time correlation function of the rotated vector
 is calculated using Legendre polynomials of the specified order.
 The integral over this time correlation function (which may be smoothed
 using cubic splines to improve the integration) is then used to find the
 effective diffusion constant (D) in the limit of small anisotropy.
 Then, using each calculated D, the diffusion tensor is determined with
 full anisotropy.
 Finally, a downhill simplex minimizer is used to optimize D with full anisotrop
y; (this last step is not described in the original paper).
\end_layout

\begin_layout Standard
Rotation matrices are generated via an RMS fit to a reference structure
 (see 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-rmsd"

\end_inset

).
 It is recommended that the RMS fit be done to an average structure (see
 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj-average"

\end_inset

).
 These rotation matrices are used to rotate each random vector M times (where
 M is the total number of frames), which creates a time series for each
 random vector.
 The time correlation functions are calculated for each random vector time
 series using Legendre polynomials of the specified order (default 2).
 The maximum length of the correlation function (or lag) can be specified
 by 
\series bold
ncorr
\series default
 (in frames).
 If 
\series bold
ncorr
\series default
 is not specified it will be set internally based on the specified values
 of 
\series bold
ti
\series default
, 
\series bold
tf
\series default
, and 
\series bold
dt
\series default
; this is recommended.
 Note that if 
\series bold
ncorr
\series default
 is specified it should be set to a number less than the total number of
 frames since noise in time correlation functions increases as 
\series bold
ncorr
\series default
 approaches the # of frames.
 The integration over the correlation function is from 
\series bold
ti 
\series default
(in whatever units are used of 
\series bold
dt
\series default
, generally ns; 0.0 ns if not specified) to 
\series bold
tf
\series default
 (same units as 
\series bold
ti
\series default
), with the time between frames specified by 
\series bold
dt
\series default
; the final time should be less than the total simulation time (see example
 below).
 The relative size of the mesh used with cubic spline interpolation for
 integration is controlled by 
\series bold
nmesh
\series default
 (size of the mesh is 
\series bold
ncorr
\series default
 points * 
\series bold
nmesh
\series default
); 
\series bold
nmesh
\series default
 = 1 means no interpolation, default is 2.
 Note that if the integral of the correlation function for a vector is negative,
 that vector will be skipped in subsequent calculations (since it would
 imply a negative value for effective diffusion).
\end_layout

\begin_layout Standard
The iterative solver for effective value of the diffusion constant from
 the correlation functions is controlled by 
\series bold
itmax
\series default
, 
\series bold
tol
\series default
, and 
\series bold
d0
\series default
, where 
\series bold
itmax
\series default
 specifies the number of iterations to perform (default 500), 
\series bold
tol
\series default
 specifies the tolerance (default 1E-6), and 
\series bold
d0
\series default
 specifies the initial guess for the diffusion constant in radians^2 / ns
 (default 0.03).
 Effective diffusion constants for each random vector can be written out
 to a file specified by 
\series bold
deffout
\series default
.
 Results are printed to the file specified by 
\series bold
outfile
\series default
.
 Details on the Q and D tensors are given, as well as observed and calculated
 tau for each random vector.
 First, results are printed for analysis in the limit of small anisotropy.
 Next, results are printed for analysis with full anisotropy.
 The results of the full anisotropic calculation are first given using results
 from the small anisotropic analysis as an initial guess, followed by the
 final results after minimization using the downhill simplex (amoeba) minimizer.
\end_layout

\begin_layout Subsubsection*
Example
\end_layout

\begin_layout Standard
There are two important things to keep in mind when using rotdif analysis:
\end_layout

\begin_layout Enumerate
When calculating any kind of diffusive property it is best to simulate in
 the microcanonical (NVE) ensemble with a shorter time step and increased
 SHAKE tolerance; thermostats and barostats will effect diffusion calculations.
\end_layout

\begin_layout Enumerate
Time correlation functions become noisier as the length of the function
 approaches the maximum.
 Therefore in general one should choose parameters for the time correlation
 function that are much shorter than the total simulation length.
 
\end_layout

\begin_layout Standard
For example, given a trajectory 'mdcrd.nc' containing 10000 frames with a
 total simulation time of 200 ns (so the time between frames is 0.02 ns),
 to calculate rotational diffusion using 100 vectors using rotation matrices
 generated via an RMS fit to 'avgstruct.pdb', computing and integrating the
 time correlation function for each vector from 0 to 5 ns (1/40th of the
 simulation), and writing out the effective diffusion constants and results
 to 'deffs.dat' and 'rotdif.out' respectively:
\end_layout

\begin_layout LyX-Code
reference avgstruct.pdb [avg]
\end_layout

\begin_layout LyX-Code
rms R0 @CA,C,N,O ref [avg] savematrices
\end_layout

\begin_layout LyX-Code
trajin mdcrd.nc
\end_layout

\begin_layout LyX-Code
rotdif nvecs 100 rmatrix R0[RM] 
\backslash

\end_layout

\begin_layout LyX-Code
       ti 0.0 tf 5.0 dt 0.02 deffout deffs.dat 
\backslash

\end_layout

\begin_layout LyX-Code
       outfile rotdif.out
\end_layout

\begin_layout Subsection
runningavg
\end_layout

\begin_layout LyX-Code
runningavg <dset1> [<dset2> ...] [name <dsetname>] [out <filename>]
\end_layout

\begin_layout LyX-Code
                   [ [cumulative] | [window <window>] ]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<dset1>
\begin_inset space ~
\end_inset

[<dset2>
\begin_inset space ~
\end_inset

...] Data set(s) to calculate running average for.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<dsetname>] Output running average data set name.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] File to write results to.
\end_layout

\begin_layout Description
[cumulative] Calculate cumulative running average instead.
\end_layout

\begin_layout Description
[window
\begin_inset space ~
\end_inset

<window>] Size in frames of window over which to calculate running average.
\end_layout

\end_deeper
\begin_layout Standard
Calculate running average over windows of given size for data in selected
 data set(s).
\end_layout

\begin_layout Subsection
slope
\end_layout

\begin_layout LyX-Code
slope <dset0> [<dset1> ...] [out <outfile>] [name <name>]
\end_layout

\begin_layout LyX-Code
  	[type {forward|backward|central}]
\end_layout

\begin_deeper
\begin_layout Description
<dset0>
\begin_inset space ~
\end_inset

[<dset1>
\begin_inset space ~
\end_inset

...] Data set(s) to calculate finite difference for.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<outfile>] File to write finite difference curves to.
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<name>] Output data set(s) name.
\end_layout

\begin_layout Description
[type
\begin_inset space ~
\end_inset

{forward|backward|central}] Specify type of finite difference to calculate
 (default forward).
\end_layout

\begin_layout Standard
DataSets generated:
\end_layout

\begin_layout Description
<name>:<idx> Output finite difference curves for each input data set (indexed
 from 0).
\end_layout

\end_deeper
\begin_layout Standard
Calculate finite differences for each input data set.
\end_layout

\begin_layout Subsection
spline
\end_layout

\begin_layout LyX-Code
spline <dset0> [<dset1> ...] [out <outfile>] [meshsize <n> | meshfactor <x>]
\end_layout

\begin_layout LyX-Code
[meshmin <mmin>] [meshmax <mmax>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<dsetX> Data set(s) to perform splining on.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<outfile>] Write splined data to <outfile>.
\end_layout

\begin_layout Description
[meshsize<n>] Size of the mesh to use for splining.
\end_layout

\begin_layout Description
[meshfactor
\begin_inset space ~
\end_inset

<x>] If meshsize is not given, use a mesh of data set size * <x>.
\end_layout

\begin_layout Description
[meshmin
\begin_inset space ~
\end_inset

<mmin>] Mesh X minimum value.
\end_layout

\begin_layout Description
[meshmax
\begin_inset space ~
\end_inset

<mmax>] Mesh X maximum value.
\end_layout

\end_deeper
\begin_layout Standard
Apply cubic splines to the given input data sets to create new data sets.
\end_layout

\begin_layout Subsection
statistics | stat
\begin_inset CommandInset label
LatexCommand label
name "subsec:cpptraj_statistics"

\end_inset


\end_layout

\begin_layout LyX-Code
stat {<name> | ALL} [shift <value>] [out <filename>] [noeout <filename>]
\end_layout

\begin_layout LyX-Code
	 [ignorenv] [name <noe setname>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description
<name> Name of data set to analyze.
\end_layout

\begin_layout Description
ALL analyze all data sets.
\end_layout

\begin_layout Description
shift
\begin_inset space ~
\end_inset

<value> Subtract <value> from all elements in each data set.
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write analysis results to <filename> (STDOUT if not specified).
\end_layout

\begin_layout Description
[noeout
\begin_inset space ~
\end_inset

<filename>] (Type 'noe' only) Write summary of NOE results to <filename>.
\end_layout

\begin_layout Description
[ignorenv] (Type 'noe' only) Ignore negative NOE violations (i.e.
 shorter-than-expected distances).
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<noe
\begin_inset space ~
\end_inset

setname>] (Type 'noe' only) Name for output NOE data sets.
\end_layout

\begin_layout Standard
DataSet Aspects for type 'noe' output:
\end_layout

\begin_layout Description
[R6] Averaged 
\begin_inset Formula $1/r^{6}$
\end_inset

distance for each set.
\end_layout

\begin_layout Description
[NViolations] Number of violations based on given bounds for each set.
\end_layout

\begin_layout Description
[AvgViolation] 
\begin_inset Formula $1/r^{6}$
\end_inset

 averaged distance minus expected distance for each set.
\end_layout

\begin_layout Description
[NOEnames] Name of each set.
\end_layout

\end_deeper
\begin_layout Standard
Analyze angles, dihedrals, distances, and/or puckers and calculate various
 properties.
 More specific analyses can be obtained by labelling distances/dihedrals/puckers
 (from e.g.
 the 
\series bold
\shape italic
distance
\series default
\shape default
, 
\series bold
\shape italic
dihedral
\series default
\shape default
, 
\series bold
\shape italic
pucker
\series default
\shape default
 commands or with the 
\series bold
\shape italic
dataset
\series default
\shape default
 command) with the 'type <label>' keyword:
\end_layout

\begin_layout Description
dihedral
\begin_inset space ~
\end_inset

type
\begin_inset space ~
\end_inset

labels: alpha, beta, gamma, delta, epsilon, zeta, chi, c2p h1p, phi, psi,
 omega, pchi
\end_layout

\begin_layout Description
distance
\begin_inset space ~
\end_inset

type
\begin_inset space ~
\end_inset

labels: noe
\end_layout

\begin_layout Description
pucker
\begin_inset space ~
\end_inset

type
\begin_inset space ~
\end_inset

labels: pucker
\end_layout

\begin_layout Standard
For each input data set, the average, standard deviation, initial and final
 values will be reported.
 The cyclic nature of dihedral/pucker data sets is taken into consideration
 when averaging.
\end_layout

\begin_layout Subsubsection
Torsion Analysis
\end_layout

\begin_layout Standard
A table will be written in ASCII format showing the distribution of torsion
 values for each data set.
 More specific information may be printed based on the set type.
 Values in the output marked SNB are from those defined by Schneider, Neidle,
 and Berman.
\begin_inset CommandInset citation
LatexCommand citep
key "Schneider1997"
literal "true"

\end_inset

 For more information on nucleic acid torsion as pertains to RNA see further
 work by Schneider et al..
\begin_inset CommandInset citation
LatexCommand citep
key "Schneider2004"
literal "true"

\end_inset

 
\end_layout

\begin_layout Standard
For example, to perform in-depth analysis on some nucleic acid dihedral
 angles:
\end_layout

\begin_layout LyX-Code
dihedral g0 out dihedrals.dat :1@O5' :1@C5' :1@C4' :1@C3' type gamma 
\end_layout

\begin_layout LyX-Code
dihedral d0 out dihedrals.dat :1@C5' :1@C4' :1@C3' :1@O3' type delta 
\end_layout

\begin_layout LyX-Code
dihedral c0 out dihedrals.dat :1@O4' :1@C1' :1@N9 :1@C4 type chi
\end_layout

\begin_layout LyX-Code
analyze statistics all out stat.dat
\end_layout

\begin_layout Subsubsection
Distance Analysis
\end_layout

\begin_layout Standard
A table will be written in ASCII format showing the distribution of distance
 values < 6.5.
 If a distance is labled as 'type noe' a compact time series will be printed
 in ASCII format showing the NOE as strong, medium, or weak.
 In addition the <r^-6>^(-1/6) averaged value will be reported, as well
 as the number of upper/lower bound violations.
 If 
\series bold
'noeout'
\series default
 is specified, a summary of these results will be written with format:
\end_layout

\begin_layout LyX-Code
<#NOE> <R6> <Nviolation> <AvgViolation> <Name>
\end_layout

\begin_layout Standard
Where <#NOE> is an index, <R6> is the <r^-6>^(-1/6) averaged distance, <Nviolati
on> is the total number of bounds violations, <AvgViolation> is the average
 difference from expected distance 
\shape italic
Rexp
\shape default
 when the distance is violated (note that if not explicitly set, 
\shape italic
Rexp
\shape default
 is set to the upper bound when the lower bound is 0.0, or the average of
 upper and lower bounds otherwise), and <Name> is the data set legend.
\end_layout

\begin_layout Standard
For example, the following input could be used to check certain distances
 for NOE violations:
\end_layout

\begin_layout LyX-Code
distance :3@HB= :10@HG= type noe noe_medium 
\end_layout

\begin_layout LyX-Code
distance :3@HE= :10@HG= type noe noe_strong 
\end_layout

\begin_layout LyX-Code
distance :3@HA :12@HA type noe noe_medium 
\end_layout

\begin_layout LyX-Code
distance :3@HD= :12@HG= type noe noe_medium 
\end_layout

\begin_layout LyX-Code
distance :3@HE= :12@HA type noe noe_strong 
\end_layout

\begin_layout LyX-Code
analyze statistics all out dpdp.noe.dat noeout noe_graph.dat name Res3_NOE
\end_layout

\begin_layout Subsubsection
Pucker Analysis
\end_layout

\begin_layout Standard
A table will be written in ASCII format showing the distribution of pucker
 phases for each data set.
\end_layout

\begin_layout Subsection
ti
\end_layout

\begin_layout LyX-Code
ti <dset0> [<dset1> ...] {nq <n quad pts> | xvals <x values>}
\end_layout

\begin_layout LyX-Code
	[name <set name>] [out <file>] [curveout <ti curve file>]
\end_layout

\begin_layout LyX-Code
	[nskip <#s to skip>]
\end_layout

\begin_layout LyX-Code
	[avgincrement <#> [avgmax <#>] [avgskip <#>]]
\end_layout

\begin_layout LyX-Code
	[bs_samples <samples> [bs_points <points>] [bs_seed <#>]
\end_layout

\begin_layout LyX-Code
	 [bs_fac <factor>]]
\end_layout

\begin_deeper
\begin_layout Description
<dset0>
\begin_inset space ~
\end_inset

[<dset1>
\begin_inset space ~
\end_inset

...] Data set arguments specifying input DV/DL values.
\end_layout

\begin_layout Description
nq
\begin_inset space ~
\end_inset

<n
\begin_inset space ~
\end_inset

quad
\begin_inset space ~
\end_inset

pts> Number of points for Gaussian quadrature integration.
 Expect one data set per point.
\end_layout

\begin_layout Description
xvals
\begin_inset space ~
\end_inset

<x
\begin_inset space ~
\end_inset

values> Comma-separated list of X values for integration.
 Expect one data set per value.
\end_layout

\begin_layout Description
name
\begin_inset space ~
\end_inset

<set
\begin_inset space ~
\end_inset

name> Output data set name.
\end_layout

\begin_layout Description
out
\begin_inset space ~
\end_inset

<file> File to write results of integration to.
\end_layout

\begin_layout Description
curveout
\begin_inset space ~
\end_inset

<ti
\begin_inset space ~
\end_inset

curve
\begin_inset space ~
\end_inset

file> File to write TI curves to.
\end_layout

\begin_layout Description
nskip
\begin_inset space ~
\end_inset

<#s
\begin_inset space ~
\end_inset

to
\begin_inset space ~
\end_inset

skip> Comma separated list of number of points to skip.
 For each number given, the TI integration will be repeated.
\end_layout

\begin_layout Description
avgincrement
\begin_inset space ~
\end_inset

<#>
\begin_inset space ~
\end_inset

[avgmax
\begin_inset space ~
\end_inset

<#>]
\begin_inset space ~
\end_inset

[avgskip
\begin_inset space ~
\end_inset

<#>] Starting from point 'avgskip' (default 0), repeat the TI integration
 calculation in increments of <#> up to 'avgmax' (default all points), so
 'avgincrement 10' will do points 0-10, 0-20, etc.
\end_layout

\begin_layout Description
bs_samples
\begin_inset space ~
\end_inset

<samples>
\begin_inset space ~
\end_inset

[bs_points
\begin_inset space ~
\end_inset

<points>]
\begin_inset space ~
\end_inset

[bs_seed<#>]
\begin_inset space ~
\end_inset

[bs_fac
\begin_inset space ~
\end_inset

<factor>] Estimate error via bootstrap analysis, repeating the TI integration
 <samples> times using <points> points or <factor> times the total number
 of points.
 Randomize with given seed.
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[TIcurve] Raw TI curve.
 If 'nskip' index is number of points skipped.
 If bootstrapping, index is sample index.
 If 'avgincrement' the index is the number of points.
\end_layout

\begin_layout Description
[SD] For bootstrap analysis, standard deviation of average free energy over
 samples.
\end_layout

\end_deeper
\begin_layout Standard
Calculate free energy using DV/DL energies from thermodynamic integration.
 The results of integration of the DV/DL curve will be written to 
\series bold
<file>
\series default
, while the curves themselves will be written to 
\series bold
<ti curve file>
\series default
.
 Use 
\series bold
nq
\series default
 to specify number of Gaussian quadrature points; otherwise the lambda values
 should be specified by 
\series bold
xvals
\series default
, where 
\series bold
<x values>
\series default
 is a comma-separated list.
\end_layout

\begin_layout Standard
For example, to perform Gaussian quadrature integration using data sets
 named 'TIdata', repeating the calculation for various number of skipped
 data points:
\end_layout

\begin_layout LyX-Code
ti TIdata nq 9 name Curve out skip.agr curveout curve.agr nskip 0,5,10,15,20,30,40
,50
\end_layout

\begin_layout Subsection
timecorr
\end_layout

\begin_layout LyX-Code
timecorr vec1 <vecname1> [vec2 <vecname2>] out <filename>
\end_layout

\begin_layout LyX-Code
           [order <order>] [tstep <tstep>] [tcorr <tcorr>]
\end_layout

\begin_layout LyX-Code
           [dplr] [norm] [drct] [dplrout <dplrfile>] [ptrajformat]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
vec1
\begin_inset space ~
\end_inset

<vecname1>
\begin_inset space ~
\end_inset

[vec2
\begin_inset space ~
\end_inset

<vecname2>]
\series default
 Vector(s) on which to operate.
 By default the auto-correlation function will be calculated if one vector
 is specified, and the cross-correlation function will be calculated if
 two vectors are specified.
\end_layout

\begin_layout Description

\series bold
out
\begin_inset space ~
\end_inset

<filename>
\series default
 Name of file to write output to.
\end_layout

\begin_layout Description

\series bold
[order
\begin_inset space ~
\end_inset

<order>]
\series default
 Order of Legendre polynomials to use; default 2.
\end_layout

\begin_layout Description

\series bold
[tstep
\begin_inset space ~
\end_inset

<tstep>]
\series default
 Time between snapshots (default 1.0).
\end_layout

\begin_layout Description

\series bold
[tcorr
\begin_inset space ~
\end_inset

<tcorr>]
\series default
 Maximum time to calculate correlation functions for (default 10000.0).
\end_layout

\begin_layout Description

\series bold
[dplr]
\series default
 Output correlation functions 
\begin_inset Formula $C_{l}\equiv<P_{l}/(r(0)^{3}r(\tau)^{3})>$
\end_inset

 and 
\begin_inset Formula $<1/(r(0)^{3}r(\tau)^{3})>$
\end_inset

 in addition to the 
\begin_inset Formula $P_{l}$
\end_inset

 correlation function.
\end_layout

\begin_layout Description

\series bold
[norm]
\series default
 Normalize all correlation functions, i.e., 
\begin_inset Formula $C_{l}(t=0)=P_{l}(t=0)=1.0$
\end_inset

.
\end_layout

\begin_layout Description

\series bold
[drct]
\series default
 Use the direct method to calculate correlations instead of FFT; this will
 be much slower.
\end_layout

\begin_layout Description
[dplrout] (
\series bold
dplr
\series default
 only) Write extra information for each vector related to 
\series bold
dplr
\series default
 option to <dplrfile>.
\end_layout

\begin_layout Description
[ptrajformat] Write output in ptraj style (prevents use of data formatting
 options).
\end_layout

\begin_layout Standard
DataSet Aspects:
\end_layout

\begin_layout Description
[P] P<order> correlation function.
\end_layout

\begin_layout Description
[C] C<order> correlation function (
\series bold
dplr
\series default
 only).
\end_layout

\begin_layout Description
[R3R3] <1/(r(0)
\begin_inset script superscript

\begin_layout Plain Layout
3
\end_layout

\end_inset

r(t)
\begin_inset script superscript

\begin_layout Plain Layout
3
\end_layout

\end_inset

> correlation function (
\series bold
dplr
\series default
 only).
\end_layout

\begin_layout Description
[R] (_TC_DIPOLAR_) Average magnitude (<R>).
\end_layout

\begin_layout Description
[RRIG] (_TC_DIPOLAR_) Sqrt( <R^2> ).
\end_layout

\begin_layout Description
[R3] (_TC_DIPOLAR_) <1/R^3>.
\end_layout

\begin_layout Description
[R6] (_TC_DIPOLAR_) <1/R^6>.
\end_layout

\begin_layout Description
[Name] (_TC_DIPOLAR_) Vector name.
\end_layout

\end_deeper
\begin_layout Standard
Calculate time auto/cross-correlation functions for vectors using spherical
 harmonics theory.
 NOTE: To calculate direct correlation functions for vectors just use the
 
\series bold
\emph on
corr
\series default
\emph default
 analysis command.
 The 
\series bold
norm
\series default
 keyword will normalize the resulting correlation functions.
 Note that if 
\series bold
dplr
\series default
 is specified, a new global data set named _TC_DIPOLAR_ will be created,
 containing extra data for each vector analyzed with a '
\series bold
\shape italic
timecorr
\series default
\shape default
 
\series bold
dplr
\series default
' command.
\end_layout

\begin_layout Subsubsection*
Examples
\end_layout

\begin_layout Standard
Vectors between atoms 5 and 6 as well as 7 and 8 are calculated below, for
 which auto and cross time correlation functions are obtained.
\end_layout

\begin_layout LyX-Code
vector v0 @5 @6
\end_layout

\begin_layout LyX-Code
vector v1 @7 @8
\end_layout

\begin_layout LyX-Code
timecorr vec1 v0 tstep 1.0 tcorr 100.0 out v0.out order 2
\end_layout

\begin_layout LyX-Code
timecorr vec1 v1 tstep 1.0 tcorr 100.0 out v1.out order 2
\end_layout

\begin_layout LyX-Code
timecorr vec1 v0 vec2 v1 tstep 1.0 tcorr 100.0 out v0_v1.out order 2
\end_layout

\begin_layout Standard
Similarly, a vector perpendicular to the plane through atoms 18, 19, and
 20 is obtained and further analyzed.
\end_layout

\begin_layout LyX-Code
vector v2 @18,@19,@20 corrplane
\end_layout

\begin_layout LyX-Code
timecorr vec1 v3 tstep 1.0 tcorr 100.0 out v2.out order 2
\end_layout

\begin_layout Subsection
vectormath
\end_layout

\begin_layout LyX-Code
vectormath vec1 <vecname1> vec2 <vecname2> [out <filename>] [norm] [name
 <setname>]
\end_layout

\begin_layout LyX-Code
           [ dotproduct | dotangle | crossproduct ]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_deeper
\begin_layout Description

\series bold
vec1
\begin_inset space ~
\end_inset

<vecname1>
\begin_inset space ~
\end_inset

vec2
\begin_inset space ~
\end_inset

<vecname2>
\series default
 Vector(s) on which to operate.
\end_layout

\begin_layout Description

\series bold
[out
\begin_inset space ~
\end_inset

<filename>]
\series default
 Name of file to write output to.
\end_layout

\begin_layout Description
[dotproduct] (Default) Calculate the dot-product of the two vectors.
\end_layout

\begin_layout Description
[dotangle] Calculate angle from dot-product between the two vectors; vectors
 will be normalized.
\end_layout

\begin_layout Description
[crossproduct] Calculate cross-product of the two vectors.
\end_layout

\begin_layout Description
[norm] Normalize the vectors; this will affect any subsequent calculations
 with the vectors.
 This is turned on automatically if 
\series bold
dotangle
\series default
 specified.
\end_layout

\end_deeper
\begin_layout Standard
Calculate dot product, angle from dot product (degrees), or cross product
 for specified vectors.
 Note that 
\series bold
norm
\series default
 normalizes the vectors themselves; the vectors will remain normalized for
 subsequent calculations or output.
 Either 
\series bold
vec1
\series default
 or 
\series bold
vec2
\series default
 can be of size 1; in that case each vector in the set with N frames operates
 on the single vector.
 For example, if 
\series bold
vec1
\series default
 is size N and 
\series bold
vec2
\series default
 is size 1, then each frame of vec1 is operated on the single vector from
 vec2.
\end_layout

\begin_layout Standard
For example, to get the angles between two previously calculated vectors
 v1 and v2:
\end_layout

\begin_layout LyX-Code
vectormath vec1 v1 vec2 v2 dotangle out dotproduct.dat name acos(|V1|*|V2|)
\end_layout

\begin_layout Subsection
wavelet
\end_layout

\begin_layout LyX-Code
wavelet [crdset <set name>] nb <n scaling vals> [s0 <s0>] [ds <ds>]
\end_layout

\begin_layout LyX-Code
        [correction <correction>] [chival <chival>] [type <wavelet>]
\end_layout

\begin_layout LyX-Code
        [out <filename>] [name <setname>]
\begin_inset Separator latexpar
\end_inset


\end_layout

\begin_layout LyX-Code
        [cluster [minpoints <#>] [epsilon <value>] [clusterout <file>]
\end_layout

\begin_layout LyX-Code
           [clustermapout <file>] [cmapdetail] [kdist] [cprefix <PDB prefix>]
\end_layout

\begin_layout LyX-Code
           [overlay <trajfile>] [overlayparm <parmfile>]]
\end_layout

\begin_deeper
\begin_layout Description
[crdset
\begin_inset space ~
\end_inset

<set
\begin_inset space ~
\end_inset

name>] COORDS data set to use 
\end_layout

\begin_layout Description
nb
\begin_inset space ~
\end_inset

<n
\begin_inset space ~
\end_inset

scaling
\begin_inset space ~
\end_inset

vals> Number of scales.
 The smaller the number the better resolution, but slower to plot.
 
\end_layout

\begin_layout Description
[s0
\begin_inset space ~
\end_inset

<s0>] The smallest scale of the wavelet function (default 2dt where dt is
 time between snapshots in ps ) 
\end_layout

\begin_layout Description
[ds
\begin_inset space ~
\end_inset

<ds>] Spacing between discrete scales.
 (Default is 0.25.
 Smaller value of ds gives finer resolution.
 The largest values that give adequate sampling in scale for Morlet and
 Paul are 0.5 and 1.5, respectively)
\end_layout

\begin_layout Description
[correction
\begin_inset space ~
\end_inset

<correction>] The scale-to-wavelength parameter (1.01 for Morlet, 1.389 for
 Paul).
 Automatically set based on wavelet if not otherwise specified.
 
\end_layout

\begin_layout Description
[chival
\begin_inset space ~
\end_inset

<chival>] The value of 
\begin_inset Formula $\chi_{2}^{2}$
\end_inset

at a particular confidence level 
\end_layout

\begin_layout Description
[type
\begin_inset space ~
\end_inset

<wavelet>] Type of wavelet function to use <morlet> or <paul> 
\end_layout

\begin_layout Description
[out
\begin_inset space ~
\end_inset

<filename>] Write results to file named <filename> 
\end_layout

\begin_layout Description
[name
\begin_inset space ~
\end_inset

<setname>] Store results in data set with name <setname>
\end_layout

\begin_layout Description
[cluster] Perform wavelet clustering i.e.
 wavelet feature extraction analysis.
\end_layout

\begin_deeper
\begin_layout Description
[minpoints
\begin_inset space ~
\end_inset

<#>] Minimum number of points necessary to form a region of interest.
\end_layout

\begin_layout Description
[epsilon
\begin_inset space ~
\end_inset

<value>] Minimum region of interest size.
\end_layout

\begin_layout Description
[clusterout
\begin_inset space ~
\end_inset

<file>] Output for clustering (see below).
\end_layout

\begin_layout Description
[clustermapout
\begin_inset space ~
\end_inset

<file>] Output cluster map (recommended gnuplot format, see below).
\end_layout

\begin_layout Description
[cmapdetail] Instead of the map being smoothed to cluster regions, show
 full detail.
\end_layout

\begin_layout Description
[kdist] Can be used to determine minpoints and epsilon - see below.
\end_layout

\begin_layout Description
[cprefix
\begin_inset space ~
\end_inset

<PDB
\begin_inset space ~
\end_inset

prefix>] Output cluster region PDBs (only containing from minimum to maximum
 atom and minimum to maximum frame) with given prefix.
\end_layout

\begin_layout Description
[overlay
\begin_inset space ~
\end_inset

<trajfile>] Create a trajectory that can be overlaid with the original trajector
y to highlight atoms of interest.
 Atoms in cluster regions will get their normal coordinates - all others
 are set to the common center of mass.
 
\end_layout

\begin_layout Description
[overlayparm
\begin_inset space ~
\end_inset

<parmfile>] Topology that can be used with the overlay trajectory.
\end_layout

\end_deeper
\begin_layout Standard
<wavelet>: morlet, paul
\end_layout

\end_deeper
\begin_layout Standard
Perform the wavelet analysis using fast Fourier transform (FFT) algorithm
 on specified trajectory and write out to a gnuplot-formatted file named
 <name.gnu>.
 The created Wavelet map provides a clear picture of the significant motions
 which are characterized both in time and space.
 Note that typically the trajectory in question should have rotational and
 translational movement removed (via e.g.
 the 
\series bold
\emph on
rms
\series default
\emph default
 command); otherwise these will be reflected in the wavelet analysis results.
\end_layout

\begin_layout Standard
Wavelet analysis contains two main steps which performs continues wavelet
 transform (CWT) and statistical significance testing as proposed by Torrence
 and Compo
\begin_inset CommandInset citation
LatexCommand citep
key "Torrence1998"
literal "true"

\end_inset

.
 Analysis is executed on one dimensional (1-D) coordinate which is defined
 as the displacement from the starting position.
 For each atom, CWT is calculated over a specified range of scales from
 
\begin_inset Formula $S_{0}$
\end_inset

up to 
\begin_inset Formula $S_{0}2^{(nb-1)ds}$
\end_inset

.
 To obtain the CWT of the trajectory the Fourier transform of atom's displacemen
t and wavelets which scaled by S ( S is calculated from: 
\begin_inset Formula $S=S_{0}2^{jds};\:j=0,1,2,\ldots,nb-1$
\end_inset

) is computed and then the inverse Fourier transform of the product of Fourier
 transforms will be calculated as the CWT.
 After calculating the wavelet coordinates for all atoms, a significance
 testing is performed to determine the significance of each wavelet coordinate.
 For doing this test we need to have an appropriate background spectrum
 to consider as a mean or expected spectrum and compare our wavelet coordinates
 against this background.
 In order to calculate the background spectrum since wavelet spectrum (according
 to the convolution theorem) follows the Fourier spectrum, the Fourier coefficie
nts over every atom's displacement is calculated using the following formula
 and a model (
\begin_inset Formula $\mu_{k}$
\end_inset

) is constructed on average which Fourier coefficients fit (
\begin_inset Formula $X_{n}$
\end_inset

) is the time series which is the atom’s displacement and k is the frequency
 index
\begin_inset CommandInset citation
LatexCommand citep
key "Benson2012"
literal "true"

\end_inset

.
\end_layout

\begin_layout Standard
\begin_inset Formula 
\[
f_{k=\frac{1}{N}}\sum_{n=0}^{N-1}\exp\left(\frac{-2\pi ikn}{N}\right)X_{n}
\]

\end_inset


\end_layout

\begin_layout Standard
This test is implemented based on the null hypothesis that the assumption
 is that Fourier coordinates normally distributed around the expected value,
 then the wavelet coordinates should also be normally distributed.
 Assuming the expected background spectrum and since the square of a normally
 distributed variable is chi-square distributed, then the distribution for
 the square of the absolute values of wavelet coordinates (
\begin_inset Formula $|W_{i,k}|^{2}$
\end_inset

 is as follows (
\begin_inset Formula $\sigma^{2}$
\end_inset

is the variance of the atom's displacement).
\end_layout

\begin_layout Standard
\begin_inset Formula 
\[
\sigma^{2}\mu_{k}\chi_{2}^{2}/2
\]

\end_inset


\end_layout

\begin_layout Standard
Then choosing a confidence level we can determine the minimum acceptable
 value for 
\begin_inset Formula $|W_{i,k}|^{2}$
\end_inset

to be considered as a significant coordinates at that certain confidence
 level.
 In the final map the scales of only those wavelet coordinates which are
 significantly above the expected distribution are stored.
\end_layout

\begin_layout Standard
For example, to perform wavelet analysis on residues 1 to 17 with 40 scaling
 values starting from scaling of 0.2 with a spacing of 0.25 using the Morlet
 wavelet:
\end_layout

\begin_layout LyX-Code
parm nowat.withions.parm7
\end_layout

\begin_layout LyX-Code
trajin nowat.image.nc
\end_layout

\begin_layout LyX-Code
rms :1-17@C*,N*,O*,P* first mass
\end_layout

\begin_layout LyX-Code
wavelet nb 40 s0 0.2 ds 0.25 correction 1.01 chival 1.6094 type morlet 
\backslash

\end_layout

\begin_layout LyX-Code
        :1-17 out wavelet.gnu usemap
\end_layout

\begin_layout Subsubsection*
Wavelet Analysis Feature Extraction
\end_layout

\begin_layout Standard
Wavelet analysis feature extraction (WAFEX)
\begin_inset CommandInset citation
LatexCommand citep
key "Heidari2016"
literal "true"

\end_inset

 uses a density-based clustering algorithm (a modified version of the DBSCAN
 algorithm) to highlight physical and temporal regions that have significant
 motions from wavelet mapsand can extract the specific atoms and frames
 involved in these motions for further analysis.
 Cluster regions shown in the map will be smoother by default for easier
 visualization (unless 
\series bold
cmapdetail
\series default
 is specified).
 Details of the clustering are provided via the 
\series bold
clusterout
\series default
 keyword with format:
\end_layout

\begin_layout LyX-Code
#Cluster [points] [minatm] [maxatm] [minfrm] [maxfrm] [avgval]
\end_layout

\begin_deeper
\begin_layout Description
#Cluster Cluster region number.
\end_layout

\begin_layout Description
points Number of points in the cluster.
\end_layout

\begin_layout Description
minatm Starting atom of the region.
\end_layout

\begin_layout Description
maxatm End atom of the region.
\end_layout

\begin_layout Description
minfrm Starting frame of the region.
\end_layout

\begin_layout Description
maxfrm End frame of the region.
\end_layout

\begin_layout Description
avgval Average value of points in the region.
\end_layout

\end_deeper
\begin_layout Standard
For example, to create a 2D gnuplot map highlight regions of interest called
 'cluster.gnu' one could use the following input.
\end_layout

\begin_layout LyX-Code
parm ../DPDP.parm7
\end_layout

\begin_layout LyX-Code
trajin ../DPDP.nc
\end_layout

\begin_layout LyX-Code
rms @C,CA,N first
\end_layout

\begin_layout LyX-Code
wavelet nb 10 s0 2 ds 0.25 type morlet correction 1.01 chival 0.25 
\backslash

\end_layout

\begin_layout LyX-Code
        :1-22 name DPDP 
\backslash

\end_layout

\begin_layout LyX-Code
        cluster clustermapout cluster.gnu clusterout cluster.dat 
\backslash

\end_layout

\begin_layout LyX-Code
          minpoints 66 epsilon 10.0
\end_layout

\begin_layout LyX-Code
datafile cluster.gnu usemap palette kbvyw
\end_layout

\begin_layout Standard
Some experimentation with 
\series bold
kdist
\series default
 may be required to obtain reasonable values for 
\series bold
minpoints
\series default
 and 
\series bold
epsilon
\series default
.
 See 
\begin_inset CommandInset ref
LatexCommand vref
reference "subsec:cpptraj_dbscan_Hints"

\end_inset

 as well as the Heidari et al paper for further discussion.
\end_layout

\begin_layout Section
Analysis Examples
\begin_inset CommandInset label
LatexCommand label
name "sec:cpptraj-Matrix-Vector-Analysis-Examples"

\end_inset


\end_layout

\begin_layout Standard
Please note that typically for principal component analysis (PCA) the trajectory
 needs to be aligned against a reference structure to remove overall global
 and translation motion.
 Use the 
\family sans
\series bold
\emph on
rms
\family default
\series default
\emph default
 command for this.
 
\end_layout

\begin_layout Subsection

\series bold
Cartesian covariance matrix calculation and projection (PCA)
\end_layout

\begin_layout Standard
After calculating modes, snapshots can be projected onto these in an additional
 pass through the trajectory.
 It is very important that the snapshots used when projecting are exactly
 the same as those used to generate the original covariance matrix.
 This example takes advantage of the COORDS data set functionality in cpptraj
 to save snapshots for the purposes of projection.
\end_layout

\begin_layout LyX-Code

\series bold
# Step one.
 Generate average structure.
\end_layout

\begin_layout LyX-Code

\series bold
# RMS-Fit to first frame to remove global translation/rotation.
\end_layout

\begin_layout LyX-Code
parm myparm.parm7
\end_layout

\begin_layout LyX-Code
trajin mytraj.nc
\end_layout

\begin_layout LyX-Code
rms first !@H=
\end_layout

\begin_layout LyX-Code
average crdset AVG
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code

\series bold
# Step two.
 RMS-Fit to average structure.
 Calculate covariance matrix.
\end_layout

\begin_layout LyX-Code

\series bold
# Save the fit coordinates.
\end_layout

\begin_layout LyX-Code
rms ref AVG !@H=
\end_layout

\begin_layout LyX-Code
matrix covar name MyMatrix !@H=
\end_layout

\begin_layout LyX-Code
createcrd CRD1
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code

\series bold
# Step three.
 Diagonalize matrix.
\end_layout

\begin_layout LyX-Code
runanalysis diagmatrix MyMatrix vecs 2 name MyEvecs
\end_layout

\begin_layout LyX-Code

\series bold
# Step four.
 Project saved fit coordinates along eigenvectors 1 and 2
\end_layout

\begin_layout LyX-Code
crdaction CRD1 projection evecs MyEvecs !@H= out project.dat beg 1 end 2
\end_layout

\begin_layout Subsection
Dihedral covariance matrix calculation and projection for backbone phi/psi
 (PCA)
\end_layout

\begin_layout LyX-Code
parm ../1rrb_vac.prmtop 
\end_layout

\begin_layout LyX-Code
trajin ../1rrb_vac.mdcrd
\end_layout

\begin_layout LyX-Code

\series bold
# Generation of phi/psi dihedral data
\end_layout

\begin_layout LyX-Code
multidihedral BB phi psi resrange 2
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code

\series bold
# Calculate dihedral covariance matrix and obtain eigenvectors
\end_layout

\begin_layout LyX-Code
matrix dihcovar dihedrals BB[*] out dihcovar.dat name DIH
\end_layout

\begin_layout LyX-Code
diagmatrix DIH vecs 4 out modes.dihcovar.dat name DIHMODES
\end_layout

\begin_layout LyX-Code
run
\end_layout

\begin_layout LyX-Code

\series bold
# Project along eigenvectors
\end_layout

\begin_layout LyX-Code
projection evecs DIHMODES out dih.project.dat beg 1 end 4 dihedrals BB[*]
 
\end_layout

\begin_layout LyX-Code
run
\end_layout

\end_body
\end_document