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
|
SUBROUTINE SDCOMPX (*,ZI,ZR,ZD)
C
C SDCOMP PERFORMS THE TRIANGULAR DECOMPOSITION OF A SYMMETRIC
C MATRIX. THE MATRIX MAY BE REAL OR COMPLEX AND ITS PRECISION MAY
C BE SNGL OR DBL
C
EXTERNAL LSHIFT ,ANDF ,ORF
LOGICAL GO ,SPILL ,SPLOUT ,SPLIN ,ROWONE
INTEGER PRC ,WORDS ,RLCMPX ,CLOS ,BUF1 ,BUF2 ,
1 BUF3 ,BUF4 ,BUF5 ,RC ,PREC ,TYPEA ,
2 ZI(1) ,CONFIG ,POWER ,DBA ,DBL ,DBC ,
3 SCR1 ,SCR2 ,SYSBUF ,FORMA ,SYM ,SQR ,
4 SCRA ,SCRB ,C5MAX ,BLK ,PCMAX ,SAVG ,
5 NULL(20),COL ,C ,S ,SPROW ,STURM ,
6 GROUPS ,CAVG ,CMAX ,SC ,PREVC ,ROW ,
7 FRSTPC ,PCAVG ,PCROW ,PCSQR ,SX ,CI ,
8 SCR3 ,WB ,SCRC ,SCRD ,SPFLG ,START ,
9 WA ,CHLSKY ,BEGN ,END ,DBNAME(2) ,
O PCGROU ,ABLK ,BBLK ,SUBNAM(5) ,
1 KEY(1) ,ORF ,STATFL ,ANDF ,TWO24 ,TWO25 ,
2 MTYPE(2),IREAL(2),ICMPLX(2)
REAL ZR(2) ,SAVE(6) ,MINDS
DOUBLE PRECISION ZD(2) ,MINDD ,XDNS(1) ,DDR ,DDC ,
1 RD ,DSAVE3
CHARACTER*10 UNUSE ,ADDI ,UNADD
CHARACTER UFM*23 ,UWM*25 ,UIM*29 ,SFM*25
COMMON /XMSSG / UFM ,UWM ,UIM ,SFM
COMMON /SFACT / DBA(7) ,DBL(7) ,DBC(7) ,SCR1 ,SCR2 ,
1 LCORE ,DDR ,DDC ,POWER ,SCR3 ,
2 MINDD ,CHLSKY
COMMON /NTIME / NITEMS ,TMIO ,TMBPAK ,TMIPAK ,TMPAK ,
1 TMUPAK ,TMGSTR ,TMPSTR ,TMT(4) ,TML(4)
COMMON /STURMX/ STURM ,SHFTPT ,KEEP ,PTSHFT ,NR
COMMON /SYSTEM/ KSYSTM(63)
COMMON /NAMES / RDNRW ,RDREW ,WRT ,WRTREW ,REW ,
1 NOREW ,EOFNRW ,RSP ,RDP ,CSP ,
2 CDP ,SQR ,RECT ,DIAG ,LOWTRI ,
3 UPRTRI ,SYM
COMMON /TYPE / PRC(2) ,WORDS(4),RLCMPX(4)
COMMON /ZZZZZZ/ XNS(1)
COMMON /SDCOMX/ ROW ,C ,SPFLG ,START ,FRSTPC ,
1 LASTPL ,LASTI ,SC ,IAC ,NZZADR ,
2 WA ,WB ,PREVC ,NZZZ ,SPROW ,
3 S ,BLK(15) ,ABLK(15),BBLK(20)
COMMON /PACKX / ITYPE1 ,ITYPE2 ,I1 ,J1 ,INCR1
COMMON /UNPAKX/ ITYPE3 ,I2 ,J2 ,INCR2
EQUIVALENCE (NROW,DBA(3)) ,(FORMA,DBA(4)) ,(TYPEA,DBA(5) ) ,
1 (JSTR,BLK(5)) ,(COL ,BLK(4)) ,(NTERMS,BLK(6)) ,
2 (XDNS(1),XNS(1)),(ROW,KEY(1)) ,(DSR ,DDR ) ,
3 (RS ,RD ) ,(DSC ,DDC ) ,(MINDS,MINDD )
EQUIVALENCE (KSYSTM( 1),SYSBUF) ,(KSYSTM( 2),NOUT ) ,
1 (KSYSTM(28),CONFIG) ,(KSYSTM(40),NBPW ) ,
2 (KSYSTM(57),STATFL) ,(DBNAME( 1),SUBNAM(4) )
DATA SUBNAM/ 4HSDCO,2HMP,3*1H / ,
1 NKEY / 6 / , BEGN/ 4HBEGN/ , END / 4HEND / ,
2 TWO24 / 16777216 /, TWO25 / 33554432 /
DATA IREAL , ICMPLX / 4HREAL, 4H , 4HCOMP, 4HLEX /
DATA UNUSE , ADDI / ' UNUSED', 'ADDITIONAL' /
C
C STATEMENT FUNCTIONS
C
NBRWDS(I) = I + NWDS*(I*(I+1))/2
SX(X) = X - SQRT(AMAX1(X*(X+2.) + CMAX*4. - CONS, 1.)) - 1.0
MAXC(J) = SQRT(FLOAT(2*J)/FNWDS - FLOAT(4*CMAX)) - 1.0
C
C BUFFER ALLOCATION
C
SUBNAM(3) = BEGN
CALL CONMSG (SUBNAM,5,0)
BUF1 = LCORE- SYSBUF
BUF2 = BUF1 - SYSBUF
BUF3 = BUF2 - SYSBUF
BUF4 = BUF3 - SYSBUF
BUF5 = BUF4 - SYSBUF
X = 1.0
RKHR = 1.0E-10
C
C INITIALIZATION AS A FUNCTION OF TYPE OF A MATRIX
C RC = 1 IF A IS REAL, 2 IF A IS COMPLEX
C PREC = 1 IF A IS SINGLE, 2 IF A IS DOUBLE
C NOTE - PRC(1) = 1, PRC(2) = 2, AND
C PRC(3) = WORDS(1) = 1, PRC(4) = WORDS(2) = 2
C
RC = RLCMPX(TYPEA)
MTYPE(1) = IREAL(1)
MTYPE(2) = IREAL(2)
IF (RC .EQ. 1) GO TO 10
MTYPE(1) = ICMPLX(1)
MTYPE(2) = ICMPLX(2)
10 PREC = PRC(TYPEA)
NWDS = WORDS(TYPEA)
FNWDS = NWDS
STURM = 0
C
C CHECK INPUT PARAMETERS
C
IF (DBA(2) .NE. DBA(3)) GO TO 2300
ICRQ = 100 - BUF5
IF (BUF5 .LT. 100) GO TO 2310
IF (NROW .EQ. 1) GO TO 1900
C
C GENERAL INITIALIZATION
C
LOOP = 1
ISPILL = BUF5 - MAX0(100,NROW/100)
FCMAX = 0.
20 ISPILL = ISPILL - (LOOP-1)*NROW/100
NSPILL = ISPILL
KROW = NROW + 1
ICRQ =-ISPILL
IF (ISPILL .LE. 0) GO TO 2310
ZI(ISPILL) = 0
PCGROU = 0
PCAVG = 0
PCSQR = 0
PCMAX = 0
CSQR = 0.0
SAVG = 0
CLOS = ALOG(FLOAT(NROW)) + 5.0
CLOS = 999999
PCROW = -CLOS
ZI(1) = -NROW
ICRQ = NROW - BUF5
IF (NROW .GE. BUF5) GO TO 2310
DO 30 I = 2,NROW
30 ZI(I) = 0
CALL FNAME (DBA,DBNAME)
POWER = 0
SCRA = SCR3
SCRB = IABS(DBC(1))
GO =.TRUE.
SPILL =.FALSE.
TIME = 0.
GROUPS = 0
CMAX = 0
CONS = 2*ISPILL/NWDS
C5MAX = MAXC(ISPILL)
DSR = 1.0
DSC = 0.
MINDS = 1.E+25
IF (PREC .EQ. 1) GO TO 40
DDR = 1.0
DDC = 0.D0
MINDD = 1.D+25
40 CONTINUE
CAVG = 0
CSPILL = 0.
C
C THE FOLLOWING CODE GENERATES THE ACTIVE COLUMN VECTOR FOR EACH
C ROW, SPILL GROUPS AND TIMING AND USER INFORMATION ABOUT THE
C DECOMPOSITION
C
BLK(1) = DBA(1)
ABLK(1) = SCRA
ABLK(2) = TYPEA
ABLK(3) = 0
CALL GOPEN ( DBA,ZI(BUF1),RDREW)
CALL GOPEN (SCRA,ZI(BUF2),WRTREW)
JLIST = 1
ROW = 1
JJ = 0
KK = 0
NLIST = 0
C
C BEGIN A ROW BY LOCATING THE DIAGONAL ELEMENT
C
50 BLK(8) = -1
KR = KROW
60 CALL GETSTR (*70,BLK)
IF (PREC .EQ. 2) JSTR = 2*(JSTR-1) + 1
IF (COL .GT. ROW) GO TO 70
IF (COL+NTERMS-1 .GE. ROW) GO TO 90
CALL ENDGET (BLK)
GO TO 60
70 KK = KK + 1
ZI(KK) = ROW
GO = .FALSE.
80 IF (BLK(8) .NE. 1) CALL SKPREC (BLK,1)
ROW = ROW + 1
IF (ROW .LE. NROW) GO TO 50
GO TO 600
C
C DIAGONAL TERM IS LOCATED - COMPLETE ENTRIES IN THE FULL COLUMN
C VECTOR AND SAVE THE TERMS FROM EACH STRING IN CORE
C
90 IF (.NOT. GO) GO TO 80
JSTR = JSTR + (ROW-COL)*NWDS
NTERMS = NTERMS - (ROW-COL)
COL = ROW
100 ZI(KR ) = COL
ZI(KR+1) = NTERMS
KR = KR + 2
NSTR = JSTR + NTERMS*NWDS - 1
DO 110 JJ = JSTR,NSTR
ZR(KR) = XNS(JJ)
KR = KR + 1
110 CONTINUE
N = COL + NTERMS - 1
DO 170 J = COL,N
IF (ZI(J)) 120,130,160
120 M = IABS(ZI(J))
ZI(J) = ROW
IF (M .NE. 1) ZI(J+1) = -(M-1)
GO TO 170
130 I = J
140 I = I - 1
IF (I .LE. 0) GO TO 2000
IF (ZI(I)) 150,140,2010
150 M = IABS(ZI(I))
ZI(I) = -(J-I)
ZI(J) = ROW
LEFT = M - (J-I+1)
IF (LEFT .GT. 0) ZI(J+1) = -LEFT
GO TO 170
160 IF (ZI(J).GT.ROW .AND. ZI(J).LT.TWO24) ZI(J) = ZI(J) +TWO24 +TWO25
170 CONTINUE
ICRQ = KR - ISPILL
IF (KR .GE. ISPILL) GO TO 2310
CALL ENDGET (BLK)
CALL GETSTR (*180,BLK)
IF (PREC .EQ. 2) JSTR = 2*JSTR - 1
GO TO 100
C
C EXTRACT ACTIVE COLUMN VECTOR FROM THE FULL COLUMN VECTOR
C
180 IAC = KR
I = IAC
J = ROW
LASTPL = -1
190 IF (ZI(J) ) 260,2020,200
200 IF (ZI(J)-ROW) 210,220,250
210 ZI(I) = J
GO TO 230
220 ZI(I) = -J
IF (LASTPL .LT. 0) LASTPL = I - IAC
230 I = I + 1
240 J = J + 1
GO TO 270
250 IF (ZI(J) .LT. TWO24) GO TO 240
IF (ZI(J) .LT. TWO25) GO TO 210
ZI(J) = ZI(J) - TWO25
GO TO 220
260 J = J - ZI(J)
270 IF (J .LE. NROW) GO TO 190
ICRQ = I - ISPILL
IF (I .GT. ISPILL) GO TO 2310
C = I - IAC
CMAX = MAX0(CMAX,C)
C5MAX = MAXC(ISPILL)
NAC = IAC + C - 1
IF (LASTPL .LT. 0) LASTPL = C
C
C MAKE SPILL CALCULATIONS
C
SPFLG = 0
FC = C
START = 2
IF (C .EQ. 1) START = 0
FRSTPC = 0
IF (.NOT.SPILL) GO TO 370
IF (ROW .LT. LSTROW) GO TO 290
C
C *3* CURRENT ROW IS LAST ROW OF A SPILL GROUP. DETERMINE IF ANOTHER
C SPILL GROUP FOLLOWS AND, IF SO, ITS RANGE
C
280 CONTINUE
START = 0
IF (C .GT. C5MAX) GO TO 380
SPILL = .FALSE.
GO TO 420
C
C *2* CURRENT ROW IS NEITHER FIRST NOR LAST IN CURRENT SPILL GROUP.
C TEST FOR PASSIVE COL CONDITION. IF SO, TERMINATE SPILL GROUP.
C TEST FOR POSSIBLE REDEFINITION OF SPILL GROUP. IF SO, TEST FOR
C OVERFLOW OF REDEFINITION TABLE, IF SO, TRY A DIFFERENT
C STRATEGY FOR DEFINING S AND REDO PREFACE UP TO A LIMIT OF 3
C TIMES.
C
290 CONTINUE
IF (IABS(ZI(IAC+1))-ROW .LT. CLOS) GO TO 300
ASSIGN 430 TO ISWTCH
LSTROW = ROW
SPILL = .FALSE.
START = 0
IF (NSPILL+2 .LT. BUF5) GO TO 350
GO TO 330
300 ASSIGN 460 TO ISWTCH
IF (C .LE. ZI(SPROW)) GO TO 460
JJ = NAC
310 IF (IABS(ZI(JJ)) .LE. LSTROW) GO TO 320
JJ = JJ - 1
GO TO 310
320 SC = JJ - IAC
M = SX(FC)
IF (SC .LE. M) GO TO 460
IF (NSPILL+2 .LT. BUF5) GO TO 340
330 CONTINUE
FCMAX = AMAX1(FCMAX,FLOAT(CMAX))
CALL CLOSE (SCRA,REW)
CALL CLOSE ( DBA,REW)
LOOP = LOOP + 1
IF (LOOP .LE. 3) GO TO 20
ICRQ = BUF5 - NSPILL - 2
GO TO 2310
340 S = M
IJKL = MAX0(IAC,JJ-(SC-M))
LSTROW = IABS(ZI(IJKL))
350 IF (ZI(NSPILL).NE.0 .AND. ZI(NSPILL).NE.SPROW) NSPILL = NSPILL + 3
ZI(NSPILL ) = SPROW
ZI(NSPILL+1) = S
ZI(NSPILL+2) = LSTROW
IF (ROW- LSTROW) 360,280,2070
360 CONTINUE
GO TO ISWTCH, (430,460)
C
C *1* CURRENT ROW IS NOT PART OF A SPILL GROUP. TEST FOR CREATION OF
C A NEW SPILL GROUP
C
370 CONTINUE
IF (C .LE. C5MAX) GO TO 420
380 SPILL = .TRUE.
SPROW = ROW
GROUPS = GROUPS + 1
S = MIN0(SX(FC),NROW-SPROW)
IF (LOOP .EQ. 1) GO TO 410
JJ = IAC + S - 1
390 IF (IABS(ZI(JJ)) .LE. SPROW+S) GO TO 400
JJ = JJ - 1
GO TO 390
400 S = JJ - IAC + 1
IF (LOOP .EQ. 3) S = MIN0(S,SX(FCMAX))
410 S = MIN0(S,NROW-SPROW)
LSTROW = IABS(ZI(IAC+S-1))
SPFLG = S
FRSTPC = LSTROW
SAVG = SAVG + S
GO TO 460
C
C TEST FOR CONDITION IN WHICH PASSIVE COLUMNS ARE CREATED
C
420 COL = IABS(ZI(IAC+1))
IF (ROW-PCROW.LT.CLOS .OR. C.LT.CLOS/2 .OR. COL-ROW.LT.CLOS)
1 GO TO 460
C
C CREATE PASSIVE COLUMNS BY CHANGING THEIR FIRST
C APPEARANCE IN THE FULL COLUMN VECTOR
C
430 FRSTPC = 2
PCROW = ROW
PCAVG = PCAVG + C - 1
PCSQR = PCSQR + (C-1)**2
PCMAX = MAX0(PCMAX,C-1)
PCGROU = PCGROU + 1
NAC = IAC + C - 1
IJKL = IAC + 1
DO 450 I = IJKL,NAC
JJ = IABS(ZI(I))
IF (ZI(JJ) .LE. ROW) GO TO 440
ZI(JJ) = MIN0(ANDF(ZI(JJ),TWO24-1),COL)
GO TO 450
440 ZI(JJ) = COL
450 CONTINUE
C
C WRITE ACTIVE COLUMN VECTOR
C
460 CONTINUE
CALL WRITE (SCRA,KEY,NKEY,0)
CALL WRITE (SCRA,ZI(IAC),C,1)
C
C WRITE ROW OF INPUT MATRIX
C
ABLK( 8) = -1
ABLK(12) = ROW
KR = KROW
470 ABLK(4) = ZI(KR )
NBRSTR = ZI(KR+1)
KR = KR + 2
480 CALL PUTSTR (ABLK)
ABLK(7) = MIN0(ABLK(6),NBRSTR)
JSTR = ABLK(5)
IF (PREC .EQ. 2) JSTR = 2*JSTR - 1
NSTR = JSTR + ABLK(7)*NWDS - 1
DO 490 JJ = JSTR,NSTR
XNS(JJ) = ZR(KR)
KR = KR + 1
490 CONTINUE
IF (KR .GE. IAC) GO TO 500
CALL ENDPUT (ABLK)
IF (ABLK(7) .EQ. NBRSTR) GO TO 470
ABLK(4) = ABLK(4) + ABLK(7)
NBRSTR = NBRSTR - ABLK(7)
GO TO 480
500 ABLK(8) = 1
CALL ENDPUT (ABLK)
C
C ACCUMULATE TIMING AND STATISTICS INFORMATION
C
CAVG = CAVG + C
CSQR = CSQR + C**2
IF (SPILL) CSPILL = CSPILL + C**2
ZI(ROW) = C
IF (ROW .EQ. NROW) GO TO 600
ROW = ROW + 1
GO TO 50
C
C HERE WHEN ALL ROWS PROCESSED - CLOSE FILES AND, IF SINGULAR
C MATRIX, PRINT SINGULAR COLUMNS AND GIVE ALTERNATE RETURN
C
600 CALL CLOSE (SCRA,REW)
CALL CLOSE ( DBA,REW)
IF (GO) GO TO 620
CALL CLOSE (DBL,REW)
CALL PAGE2 (3)
WRITE (NOUT,610) UFM,DBNAME,(ZI(I),I=1,KK)
610 FORMAT (A23,' 3097. SYMMETRIC DECOMPOSITION OF DATA BLOCK ',2A4,
1 ' ABORTED BECAUSE THE FOLLOWING COLUMNS ARE SINGULAR -',
2 /,(5X,20I6,/))
RETURN 1
C
C CALCULATE TIME ESTIMATE, PRINT USER INFORMATION AND
C CHECK FOR SUFFICIENT TIME TO COMPLETE DECOMPOSITION
C
620 DENS = FLOAT(DBA(7))/10000.
IF (DENS .LT. 0.01) DENS = 0.01
IF (DENS .GT. 99.99) DENS = 99.99
IF (GROUPS .NE. 0) SAVG = SAVG/GROUPS
SAVG = MAX0(SAVG,1)
TIME = 0.5*TMT(TYPEA)*CSQR + 0.5*(TMPSTR+TMGSTR)*FLOAT(PCSQR) +
1 TMPSTR*FLOAT(CAVG) + TMIO*(FNWDS+1.0)*CSPILL/FLOAT(SAVG)
MORCOR= NBRWDS(CMAX) - ISPILL + 1
C
CAVG = CAVG/NROW
IF (PCGROU .NE. 0) PCAVG = PCAVG/PCGROU
CALL TMTOGO (IJKL)
JKLM = 1.E-6*TIME + 1.0
ICORE = IABS(MORCOR)
IF (DBC(1) .LE. 0) GO TO 645
UNADD = UNUSE
IF (MORCOR .GT. 0) UNADD = ADDI
CALL PAGE2 (4)
WRITE (NOUT,630,ERR=645) UIM, MTYPE, DBNAME, NROW, DENS,
1 JKLM, CAVG, PCAVG, GROUPS, SAVG,
2 UNADD, ICORE, CMAX, PCMAX, PCGROU, LOOP
630 FORMAT (A29,' 3023 - PARAMETERS FOR ',2A4,
1 ' SYMMETRIC DECOMPOSITION OF DATA BLOCK ',2A4,
2 5H (N =,I6, 5H, D =,F6.2,2H%), /14X,
3 17H TIME ESTIMATE = , I7, 17H C AVG = , I6,
4 17H PC AVG = , I6,18H SPILL GROUPS = , I6,
5 17H S AVG = , I6, /14X,
6 A10 , 7H CORE = , I9, 15H WORDS C MAX = , I6,
7 17H PCMAX = , I6,18H PC GROUPS = , I6,
8 17H PREFACE LOOPS = , I6 )
IF (MORCOR .GT. 0) WRITE (NOUT,640)
640 FORMAT (14X,'(FOR OPTIMAL OPERATION)')
645 IF (JKLM .GE. IJKL) GO TO 2320
C
C WRITE A END-OF-MATRIX STRING ON THE PASSIVE COLUMN FILE
C
CALL GOPEN (SCRB,ZI(BUF2),WRTREW)
BBLK(1) = SCRB
BBLK(2) = TYPEA
BBLK(3) = 0
BBLK(8) =-1
BBLK(12)= 1
CALL PUTSTR(BBLK)
BBLK(4) = NROW + 1
BBLK(7) = 1
BBLK(8) = 1
CALL ENDPUT (BBLK)
CALL CLOSE (SCRB,REW)
C
C THE STAGE IS SET AT LAST TO PERFORM THE DECOMPOSITION -
C SO LETS GET THE SHOW UNDERWAY
C
CALL GOPEN (SCRA,ZI(BUF1),RDREW )
CALL GOPEN (SCRB,ZI(BUF2),RDREW )
CALL GOPEN (DBL ,ZI(BUF3),WRTREW)
SCRC = SCR1
SCRD = SCR2
IF (ZI(NSPILL) .NE. 0) NSPILL = NSPILL + 3
ZI(NSPILL) = NROW + 1
SPLIN = .FALSE.
SPLOUT = .FALSE.
SPILL = .FALSE.
IF (GROUPS .NE. 0) SPILL = .TRUE.
NZZZ = ORF(ISPILL-1,1)
ROWONE = .FALSE.
DBL(2) = 0
DBL(6) = 0
DBL(7) = LSHIFT(1,NBPW-2 - (NBPW-32))
C
C THIS 'NEXT TO SIGN' BIT WILL BE PICKED UP BY WRTTRL. ADD (NBPW-32)
C SO THAT CRAY, WITH 48-BIT INTEGER, WILL NOT GET INTO TROUBLE
C
BLK(1) = DBL(1)
BLK(2) = TYPEA
BLK(3) = 1
WA = NZZZ
WB = WA
PREVC = 0
BBLK(8)= -1
CALL GETSTR (*2080,BBLK)
KSPILL = ISPILL
C
C READ KEY WORDS AND ACTIVE COLUMN VECTOR FOR CURRENT ROW
C
650 NAME = SCRA
IF (SPLIN) NAME = SCRD
CALL FREAD (NAME,KEY,NKEY,0)
IAC = C*NWDS + 1
CALL FREAD (NAME,ZI(IAC),C,1)
NAC = IAC + C - 1
IF (ZI(IAC) .LT. 0) PREVC = 0
IF (SPLIN) GO TO 700
C
C READ TERMS FROM THE INPUT MATRIX
C
ABLK(8) = -1
CALL GETSTR (*2090,ABLK)
N = IAC - 1
DO 670 I = 1,N
ZR(I) = 0.
670 CONTINUE
CALL SDCIN (ABLK,ZI(IAC),C,ZR,ZR)
C
C IF DEFINED, MERGE ROW FROM PASSIVE COLUMN FILE
C
680 IF (ROW-BBLK(4)) 710,690,2100
690 CALL SDCIN (BBLK,ZI(IAC),C,ZR,ZR)
BBLK(8) = -1
CALL GETSTR (*2110,BBLK)
GO TO 680
C
C READ CURRENT PIVOT ROW FROM SPILL FILE. IF LAST ROW, CLOSE FILE
C
700 PREVC = 0
CALL FREAD (SCRD,ZR,C*NWDS,1)
IF (ROW .LT. LSTSPL) GO TO 710
CALL CLOSE (SCRD,REW)
C
C IF 1ST ROW OF A NEW SPILL GROUP, OPEN SCRATCH FILE TO WRITE
C
710 IF (ROWONE) GO TO 740
IF (SPLOUT) GO TO 810
IF (SPFLG .EQ. 0) GO TO 810
SPLOUT = .TRUE.
CALL GOPEN (SCRC,ZI(BUF4),WRTREW)
SPROW = ROW
S = SPFLG
LSTROW = FRSTPC
FRSTPC = 0
C
C IF S WAS REDEFINED, GET NEW DEFINITION
C
DO 720 I = KSPILL,NSPILL,3
IF (ROW-ZI(I)) 740,730,720
720 CONTINUE
GO TO 740
730 S = ZI(I+1)
LSTROW = ZI(I+2)
KSPILL = I + 3
C
C WRITE ANY TERMS ALREADY CALCULATED WHICH ARE
C BEYOND THE RANGE OF THE CURRENT SPILL GROUP
C
740 IF (.NOT.SPLOUT) GO TO 810
N = 0
IJKL = NAC
750 IF (IABS(ZI(IJKL)) .LE. LSTROW) GO TO 760
IJKL = IJKL - 1
GO TO 750
760 IJKL = IJKL + 1
IF (IJKL .GT. NAC) GO TO 780
DO 770 I = IJKL,NAC
IF (ZI(I) .GT. 0.) N = N + 1
770 CONTINUE
N = NWDS*N*(N+1)/2
780 CALL WRITE (SCRC,N,1,0)
CALL WRITE (SCRC,ZR(NZZZ-N),N,1)
C
C MOVE WA TO ACCOUNT FOR ANY TERMS JUST WRITTEN
C
IF (N .EQ. 0) GO TO 810
J = NZZZ
I = NZZZ - N
IF (NZZZ-WA .EQ. N) GO TO 800
790 J = J - 1
I = I - 1
ZR(J) = ZR(I)
IF (I .GT. WA) GO TO 790
800 WA = J
C
C IF THE PIVOTAL ROW DID NOT COME FROM THE SPILL FILE, IT IS CREATED
C
810 IF (SPLIN) GO TO 1110
I = IAC
L = WA
IF (PREC .EQ. 2) L = (WA-1)/2 + 1
GO TO (820,890,960,1030), TYPEA
C
C CREATE PIVOT ROW IN RSP, ACCUMULATE DETERMINANT AND MIN DIAGONAL
C
820 CONTINUE
IF (ZI(IAC) .LT. 0) GO TO 850
DO 840 J = 1,C
IF (ZI(I) .LT. 0) GO TO 830
ZR(J) = ZR(J) + ZR(L)
L = L + 1
830 I = I + 1
840 CONTINUE
850 CONTINUE
ASSIGN 860 TO KHR
IF (ZR(1)) 860,1820,860
860 IF (ABS(DSR) .LT. 10.) GO TO 870
DSR = DSR/10.
POWER = POWER + 1
GO TO 860
870 IF (ABS(DSR) .GT. 0.1) GO TO 880
DSR = DSR*10.
POWER = POWER - 1
GO TO 870
880 DSR = DSR*ZR(1)
MINDS = AMIN1(ABS(ZR(1)),MINDS)
C
C COUNTING SIGN CHANGES OF THE LEADING PRINCIPLE MINORS IN STURM
C SEQ.
C
IF (ZR(1) .LT. 0.) STURM = STURM + 1
GO TO 1100
C
C CREATE PIVOT ROW IN RDP, ACCUMULATE DETERMINANT AND MIN DIAGONAL
C
890 CONTINUE
IF (ZI(IAC) .LT. 0) GO TO 920
DO 910 J = 1,C
IF (ZI(I) .LT. 0) GO TO 900
ZD(J) = ZD(J) + ZD(L)
L = L + 1
900 I = I + 1
910 CONTINUE
920 CONTINUE
ASSIGN 930 TO KHR
IF (ZD(1)) 930,1820,930
930 IF (DABS(DDR) .LT. 10.0D0) GO TO 940
DDR = DDR/10.D0
POWER = POWER + 1
GO TO 930
940 IF (DABS(DDR) .GT. 0.1D0) GO TO 950
DDR = DDR*10.D0
POWER = POWER - 1
GO TO 940
950 DDR = DDR*ZD(1)
MINDD = DMIN1(DABS(ZD(1)),MINDD)
C
C COUNTING SIGN CHANGES (STURM SEQUENCE PROPERTY)
C
IF (ZD(1) .LT. 0.D0) STURM = STURM + 1
GO TO 1100
C
C CREATE PIVOT ROW IN CSP, ACCUMULATE DETERMINANT AND MIN DIAGONAL
C
960 CONTINUE
IF (ZI(IAC) .LT. 0) GO TO 990
CI = 2*C - 1
DO 980 J = 1,CI,2
IF (ZI(I) .LT. 0) GO TO 970
ZR(J ) = ZR(J ) + ZR(L )
ZR(J+1) = ZR(J+1) + ZR(L+1)
L = L + 2
970 I = I + 1
980 CONTINUE
990 CONTINUE
SAVE(3) = SQRT(ZR(1)**2 + ZR(2)**2)
IF (SAVE(3)) 1000,1840,1000
1000 IF (SQRT(DSR**2+DSC**2) .LT. 10.) GO TO 1010
DSR = DSR/10.
DSC = DSC/10.
POWER = POWER + 1
GO TO 1000
1010 IF (SQRT(DSR**2+DSC**2) .GT. 0.1) GO TO 1020
DSR = DSR*10.
DSC = DSC*10.
POWER = POWER - 1
GO TO 1010
1020 RS = DSR*ZR(1) - DSC*ZR(2)
DSC = DSR*ZR(2) + DSC*ZR(1)
DRR = RS
MINDS = AMIN1(SAVE(3),MINDS)
GO TO 1100
C
C CREATE PIVOT ROW IN CDP, ACCUMULATE DETERMINANT AND MIN DIAGONAL
C
1030 CONTINUE
IF (ZI(IAC) .LT. 0) GO TO 1060
CI = 2*C - 1
DO 1050 J = 1,CI,2
IF (ZI(I) .LT. 0) GO TO 1040
ZD(J ) = ZD(J ) + ZD(L )
ZD(J+1) = ZD(J+1) + ZD(L+1)
L = L + 2
1040 I = I + 1
1050 CONTINUE
1060 CONTINUE
C
C IN COMPARING THE SOURCE CODES HERE FOR CSP AND CDP COMPUTATION,
C IT IS DECIDED TO CHANGE THE ORIGINAL LINES (COMMENTED OUT) TO THE
C NEW LINES USING DSAVE3 INSTEAD OF RD BY G.CHAN/UNISYS, 8/84
C
DSAVE3 = DSQRT(ZD(1)**2 + ZD(2)**2)
IF (DSAVE3) 1070,1840,1070
1070 IF (DSQRT(DDR**2+DDC**2) .LT. 10.D0) GO TO 1080
DDR = DDR/10.D0
DDC = DDC/10.D0
POWER = POWER + 1
GO TO 1070
1080 IF (DSQRT(DDR**2+DDC**2) .GT. 0.1D0) GO TO 1090
DDR = DDR*10.D0
DDC = DDC*10.D0
POWER = POWER - 1
GO TO 1080
1090 RD = DDR*ZD(1) - DDC*ZD(2)
DDC = DDR*ZD(2) + DDC*ZD(1)
DDR = RD
MINDD = DMIN1(DSAVE3,MINDD)
C
C CALCULATE WB
C
1100 CONTINUE
1110 LASTI = 1
IF (START .EQ. 0) GO TO 1250
IF (SPLIN ) GO TO 1120
IF (SPLOUT) GO TO 1130
CI = C
SC = C
GO TO 1160
1120 CI = C - (START-2)
SC = CI
JJ = NAC
IF (SPLOUT) GO TO 1140
IF ((CI*(CI+1)+2*C)*NWDS/2+C .GT. NZZZ) GO TO 2120
GO TO 1160
1130 CI = C
SC = LSTROW - SPROW
JJ = MIN0(NAC,IAC+START+SC-2)
1140 IF (IABS(ZI(JJ)) .LE. LSTROW) GO TO 1150
JJ = JJ - 1
GO TO 1140
1150 SC = JJ - IAC - START + 2
IF (SC .GT. 0) GO TO 1160
SC = 0
WB = WA
GO TO 1180
1160 NTERMS = SC*(CI-1) - (SC*(SC-1))/2
NWORDS = NTERMS*NWDS
WB = NZZZ - NWORDS
IF (PREC .EQ. 2) WB = ORF(WB-1,1)
IF (WB .LT. IAC+C) GO TO 2060
IF (WB .GT. WA+NWDS*PREVC) GO TO 2130
1180 CONTINUE
IF (SPLIN .AND. ROW.EQ.LSTSPL) SPLIN = .FALSE.
LASTI = MIN0(START+SC-1,C)
IF (SC .EQ. 0) GO TO 1250
C
C NOW CALCULATE CONTRIBUTIONS FROM CURRENT PIVOT ROW TO SECOND TERM
C IN EQUATION (4) IN MEMO CWM-19. NOTE-TERMS ARE CALCULATED ONLY
C FOR ROW/COL COMBINATIONS IN THE CURRENT SPILL GROUP
C
GO TO (1210,1220,1230,1240), TYPEA
1210 CALL SDCOM1 (ZI,ZI(IAC),ZR(WA+ PREVC),ZR(WB))
GO TO 1250
1220 CALL SDCOM2 (ZI,ZI(IAC),ZR(WA+2*PREVC),ZR(WB))
GO TO 1250
1230 CALL SDCOM3 (ZI,ZI(IAC),ZR(WA+2*PREVC),ZR(WB))
GO TO 1250
1240 CALL SDCOM4 (ZI,ZI(IAC),ZR(WA+4*PREVC),ZR(WB))
C
C SHIP PIVOT ROW OUT TO EITHER MATRIX OR SPILL FILE
C
1250 IF (LASTI .EQ. C) GO TO 1290
IF (.NOT. SPLOUT) GO TO 2030
C
C PIVOT ROW GOES TO SPILL FILE - SET INDEX WHERE TO BEGIN NEXT AND
C WRITE ROW AND ACTIVE COLUMNN VECTOR
C
IJKL = SPFLG
II = FRSTPC
SPFLG = 0
FRSTPC = 0
START = LASTI + 1
CALL WRITE (SCRC,KEY,NKEY, 0)
CALL WRITE (SCRC,ZI(IAC),C,1)
CALL WRITE (SCRC,ZR,C*NWDS,1)
IF (ROW .LT. LSTROW) GO TO 1440
C
C LAST ROW OF CURRENT SPILL GROUP - REWIND FILE AND OPEN IT TO READ.
C IF ANOTHER SPILL GROUP, SET IT UP
C
CALL CLOSE (SCRC,REW)
JKLM = SCRC
SCRC = SCRD
SCRD = JKLM
CALL GOPEN (SCRD,ZI(BUF5),RDREW)
LSTSPL = ROW
SPLIN =.TRUE.
SPLOUT =.FALSE.
IF (IJKL .EQ. 0) GO TO 1280
SPLOUT =.TRUE.
SPROW = ROW
S = IJKL
LSTROW = II
CALL GOPEN (SCRC,ZI(BUF4),WRTREW)
C
C IF S WAS REDEFINED, GET NEW DEFINITION
C
DO 1260 I = KSPILL,NSPILL,3
IF (ROW-ZI(I)) 1280,1270,1260
1260 CONTINUE
GO TO 1280
1270 S = ZI(I+1)
LSTROW = ZI(I+2)
KSPILL = I + 3
C
C READ ANY TERMS SAVED FROM PREVIOUS SPILL GROUP
C
1280 IF (ROW .EQ. NROW) GO TO 1500
CALL FREAD (SCRD,N,1,0)
WA = NZZZ - N
CALL FREAD (SCRD,ZR(WA),N,1)
ROWONE = .TRUE.
GO TO 650
C
C PIVOT ROW GOES TO OUTPUT FILE - IF REQUIRED, CONVERT TO CHOLESKY
C
1290 IF (ROW .NE. DBL(2)+1) GO TO 2040
IF (CHLSKY .EQ. 0) GO TO 1340
IF (RC .EQ. 2) GO TO 2050
IF (PREC .EQ. 2) GO TO 1320
IF (ZR(1) .LT. 0.) GO TO 1800
ZR(1) = SQRT(ZR(1))
IF (C .EQ. 1) GO TO 1340
DO 1310 I = 2,C
ZR(I) = ZR(I)*ZR(1)
1310 CONTINUE
GO TO 1340
1320 IF (ZD(1) .LT. 0.0D+0) GO TO 1800
ZD(1) = DSQRT(ZD(1))
IF (C .EQ. 1) GO TO 1340
DO 1330 I = 2,C
ZD(I) = ZD(I)*ZD(1)
1330 CONTINUE
C
C WRITE THE ROW WITH PUTSTR/ENDPUT
C
1340 CALL SDCOUT (BLK,0,ZI(IAC),C,ZR,ZR)
C
C IF ACTIVE COLUMNS ARE NOW GOING PASSIVE, MERGE ROWS IN CORE
C WITH THOSE NOW ON THE PC FILE THUS CREATING A NEW PC FILE
C
IF (FRSTPC .EQ. 0) GO TO 1430
IF (SPLIN .OR. SPLOUT) GO TO 2140
CALL GOPEN (SCRC,ZI(BUF4),WRTREW)
BLK(1) = SCRC
BLK(3) = 0
IJKL = IAC + 1
DO 1390 I = IJKL,NAC
1360 IF (IABS(ZI(I)) .LE. BBLK(4)) GO TO 1380
CALL CPYSTR (BBLK,BLK,1,0)
BBLK(8) = -1
CALL GETSTR (*2150,BBLK)
GO TO 1360
1380 CI = NAC - I + 1
CALL SDCOUT (BLK,0,ZI(I),CI,ZR(WB),ZR(WB))
WB = WB + CI*NWDS
1390 CONTINUE
ICRQ = WB - ISPILL
IF (WB .GT. ISPILL) GO TO 2310
1400 CALL CPYSTR (BBLK,BLK,1,0)
IF (BBLK(4) .EQ. NROW+1) GO TO 1410
BBLK(8) = -1
CALL GETSTR (*2160,BBLK)
GO TO 1400
1410 CALL CLOSE (SCRB,REW)
CALL CLOSE (SCRC,REW)
I = SCRB
SCRB = SCRC
SCRC = I
CALL GOPEN (SCRB,ZI(BUF2),RDREW)
BBLK(1) = SCRB
BBLK(8) = -1
CALL GETSTR (*2170,BBLK)
BLK(1) = DBL(1)
BLK(3) = 1
C
C ACCUMULATE MCB INFORMATION FOR PIVOT ROW
C
1430 CONTINUE
NWORDS = C*NWDS
DBL(2) = DBL(2) + 1
DBL(6) = MAX0(DBL(6),NWORDS)
DBL(7) = DBL(7) + NWORDS
C
C PREPARE TO PROCESS NEXT ROW.
C
1440 IF (ROW .EQ. NROW) GO TO 1500
PREVC = C - 1
ROWONE = .FALSE.
WA = WB
GO TO 650
C
C CLOSE FILES AND PUT END MESSAGE IN RUN LOG.
C
1500 SUBNAM(3) = END
CALL CONMSG (SUBNAM,5,0)
CALL CLOSE (SCRA,REW)
CALL CLOSE (SCRB,REW)
CALL CLOSE ( DBL,REW)
C
C PRINT ROOTS INFORMATION IF THIS IS EIGENVALUE PROBLEM, AND KEEP
C TWO LARGEST SHIFT POINT DATA IF SEVERAL SHIFT POINT MOVINGS ARE
C INVOLVED.
C
IF (SHFTPT .GT. 0.) WRITE (NOUT,1510) STURM,SHFTPT
1510 FORMAT (20X,I5,13H ROOTS BELOW ,1P,E14.6)
IF (STURM .NE. 0) GO TO 1520
IF (KEEP .LE. 0) GO TO 1530
STURM = KEEP
SHFTPT = PTSHFT
GO TO 1530
1520 IF (KEEP .GT. STURM) GO TO 1530
JJ = KEEP
RS = PTSHFT
KEEP = STURM
PTSHFT = SHFTPT
STURM = JJ
SHFTPT = RS
1530 IF (STATFL .NE. 1) RETURN
C
C PREPARE AND PRINT STATISTICS REGARDING DECOMPOSITION
C
IF (2*NROW .LT. BUF2) GO TO 1600
CALL PAGE2 (2)
WRITE (NOUT,1540) UIM
1540 FORMAT (A29,' 2316. INSUFFICIENT CORE TO PREPARE DECOMPOSITION ',
1 'STATISTICS.')
RETURN
C
1600 CALL GOPEN (SCRA,ZI(BUF1),RDREW)
CALL GOPEN ( DBL,ZI(BUF2),RDREW)
ABLK(1) = SCRA
BBLK(1) = DBL(1)
ROW = 1
DO 1610 I = 1,6
NULL(I) = 0
1610 CONTINUE
NN = 2*NROW - 1
EPSMAX = 0.
N = 0
DO 1710 J = 1,NN,2
ABLK(8) = -1
BBLK(8) = -1
CALL FWDREC (*2220,ABLK)
CALL GETSTR (*2180,ABLK)
CALL GETSTR (*2190,BBLK)
IF (ABLK(4) .NE. ROW) GO TO 2200
IF (BBLK(4) .NE. ROW) GO TO 2210
II = ABLK(5)
JJ = BBLK(5)
GO TO (1660,1670,1680,1690), TYPEA
1660 SAVE(2) = XNS(II)
SAVE(3) = XNS(JJ)
GO TO 1700
1670 SAVE(2) = XDNS(II)
SAVE(3) = XDNS(JJ)
GO TO 1700
1680 SAVE(2) = SQRT(XNS(II)**2 + XNS(II+1)**2)
SAVE(3) = SQRT(XNS(JJ)**2 + XNS(JJ+1)**2)
GO TO 1700
1690 SAVE(2) = DSQRT(XDNS(II)**2 + XDNS(II+1)**2)
SAVE(3) = DSQRT(XDNS(JJ)**2 + XDNS(JJ+1)**2)
1700 CALL FWDREC (*2220,ABLK)
CALL FWDREC (*2220,BBLK)
EPS = ABS(SAVE(2)/SAVE(3))
ZI(J ) = ROW
ZI(J+1) = EPS
IF (SAVE(3) .LT. 0.) N = N + 1
EPSMAX = AMAX1(EPSMAX,EPS)
ROW = ROW + 1
1710 CONTINUE
CALL SORT (0,0,2,2,ZI,2*NROW)
CALL CLOSE (ABLK,REW)
CALL CLOSE (BBLK,REW)
SAVE(1) = 0.1*EPSMAX
DO 1720 I = 2,6
SAVE(I) = 0.1*SAVE(I-1)
1720 CONTINUE
DO 1780 J = 1,NN,2
IF (ZR(J+1) .GT. SAVE(1)) GO TO 1730
IF (ZR(J+1) .GT. SAVE(2)) GO TO 1740
IF (ZR(J+1) .GT. SAVE(3)) GO TO 1750
IF (ZR(J+1) .GT. SAVE(4)) GO TO 1760
IF (ZR(J+1) .GT. SAVE(5)) GO TO 1770
NULL(6) = NULL(6) + 1
GO TO 1780
1730 NULL(1) = NULL(1) + 1
GO TO 1780
1740 NULL(2) = NULL(2) + 1
GO TO 1780
1750 NULL(3) = NULL(3) + 1
GO TO 1780
1760 NULL(4) = NULL(4) + 1
GO TO 1780
1770 NULL(5) = NULL(5) + 1
1780 CONTINUE
I = MAX0(1,NN-8)
CALL PAGE2 (6)
WRITE (NOUT,1790) UIM,DBNAME,N,EPSMAX,(NULL(J),J=1,6),
1 (ZI(J),J=I,NN,2)
1790 FORMAT (A29,' 2314. STATISTICS FOR SYMMETRIC DECOMPOSITION OF ',
1 'DATA BLOCK ',2A4,7H FOLLOW,
2 /10X,23HNUMBER OF UII .LT. 0 = ,I5,
3 /10X,36HMAXIMUM ABSOLUTE VALUE OF AII/UII = ,1P,E12.5,
4 /10X,13HN1 THRU N6 = ,6I6,
5 /10X,36HROW NUMBERS OF 5 LARGEST AII/UII = ,6I6 )
RETURN
C
C DIAGONAL ELEMENT .LT. 0.0 IN CHOLESKY DECOMPOSITION
C
1800 WRITE (NOUT,1810) UFM
1810 FORMAT (A23,' 3181, ATTEMPT TO PERFORM CHOLESKY DECOMPOSITION ON',
1 ' A NEGATIVE DEFINITE MATRIX IN SUBROUTINE SDCOMP.')
GO TO 2330
C
C DIAGONAL ELEMENT .EQ. 0.0
C
1820 ZR(1) = RKHR
IF (TYPEA .EQ. 2) ZD(1) = RKHR
CALL PAGE2 (3)
WRITE (NOUT,1830) UWM,ROW,RKHR
1830 FORMAT (A25,' 2396, SDCOMP COMPUTED A ZERO ON THE DIAGONAL DURING'
1, ' DECOMPOSITION AT ROW NUMBER',I6,1H., /5X,
2 'USE OF DIAG 22 OUTPUT SHOULD PERMIT YOU TO CORRELATE THE',
3 ' ROW WITH A MODEL D.O.F.', /5X,'A VALUE OF ',E13.6,
4 ' WILL BE USED IN PLACE OF THE ZERO, HOWEVER', /5X,
5 ' THE ACCURACY OF THE DECOMPOSITION MAY BE IN DOUBT.')
GO TO KHR, (860,930)
1840 CALL CLOSE (SCRA,REW)
CALL CLOSE (SCRB,REW)
CALL CLOSE ( DBL,REW)
CALL CLOSE (SCRC,REW)
CALL CLOSE (SCRD,REW)
RETURN 1
C
C DECOMPOSE A 1X1 MATRIX
C
1900 ITYPE1 = TYPEA
ITYPE2 = TYPEA
ITYPE3 = TYPEA
POWER = 0
I1 = 1
J1 = 1
I2 = 1
J2 = 1
INCR1 = 1
INCR2 = 1
KK = 1
NULL(1)= 1
GO =.FALSE.
CALL GOPEN (DBA,ZI(BUF1),RDREW)
CALL UNPACK (*600,DBA,ZR)
CALL CLOSE (DBA,REW)
CALL GOPEN (DBL,ZI(BUF1),WRTREW)
DBL(2) = 0
DBL(6) = 0
GO TO (1910,1920,1930,1940), TYPEA
1910 MINDS = ZR(1)
DSR = ZR(1)
IF (ZR(1)) 1950,600,1950
1920 MINDD = ZD(1)
DDR = ZD(1)
IF (ZD(1)) 1950,600,1950
1930 MINDS = SQRT(ZR(1)**2 + ZR(2)**2)
DSR = ZR(1)
DSC = ZR(2)
IF (MINDS) 1950,600,1950
1940 MINDD = DSQRT(ZD(1)**2 + ZD(2)**2)
DDR = ZD(1)
DDC = ZD(2)
IF (MINDD) 1950,600,1950
1950 CALL PACK (ZR,DBL,DBL)
CALL CLOSE (DBL,REW)
RETURN
C
C VARIOUS ERRORS LAND HERE
C
2000 KERR = 1045
GO TO 2230
2010 KERR = 1046
GO TO 2230
2020 KERR = 1051
GO TO 2230
2030 KERR = 1310
GO TO 2230
2040 KERR = 1320
GO TO 2230
2050 KERR = 1300
GO TO 2230
2060 KERR = 1288
GO TO 2230
2070 KERR = 1065
GO TO 2230
2080 KERR = 1204
GO TO 2230
2090 KERR = 660
GO TO 2230
2100 KERR = 1215
GO TO 2230
2110 KERR = 1216
GO TO 2230
2120 KERR = 1288
GO TO 2230
2130 KERR = 1170
GO TO 2230
2140 KERR = 1350
GO TO 2230
2150 KERR = 1370
GO TO 2230
2160 KERR = 1340
GO TO 2230
2170 KERR = 1420
GO TO 2230
2180 KERR = 1620
GO TO 2230
2190 KERR = 1630
GO TO 2230
2200 KERR = 1640
GO TO 2230
2210 KERR = 1650
GO TO 2230
2220 KERR = 1407
GO TO 2230
2230 WRITE (NOUT,2240) SFM,KERR
2240 FORMAT (A25,' 3130, LOGIC ERROR',I6,' OCCURRED IN SDCOMP.')
J = 66
WRITE (NOUT,2250) (KEY(I),I=1,J)
2250 FORMAT (36H0 CONTENTS OF / SDCOMX / FOLLOW -- ,/(1X,10I12))
GO TO 2330
C
C ERROR EXITS
C
2300 IER = -7
IFL = 0
GO TO 2340
2310 IER = -8
IFL = ICRQ
GO TO 2340
2320 IER = -50
IFL = JKLM
GO TO 2340
2330 IER = -37
IFL = 0
2340 CALL MESAGE (IER,IFL,SUBNAM)
RETURN
END
|
