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
|
/* Global common subexpression elimination
and global constant/copy propagation for GNU compiler.
Copyright (C) 1997 Free Software Foundation, Inc.
This file is part of GNU CC.
GNU CC is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2, or (at your option)
any later version.
GNU CC is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with GNU CC; see the file COPYING. If not, write to
the Free Software Foundation, 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA. */
/* TODO
- reordering of memory allocation and freeing to be more space efficient
- do rough calc of how many regs are needed in each block, and a rough
calc of how many regs are available in each class and use that to
throttle back the code in cases where RTX_COST is minimal.
- memory aliasing support
- ability to realloc sbitmap vectors would allow one initial computation
of reg_set_in_block with only subsequent additions, rather than
recomputing it for each pass
NOTES
- the classic gcse implementation is kept in for now for comparison
*/
/* References searched while implementing this.
This list will eventually be deleted but I wanted to have a record of it
for now.
Compilers Principles, Techniques and Tools
Aho, Sethi, Ullman
Addison-Wesley, 1988
Global Optimization by Suppression of Partial Redundancies
E. Morel, C. Renvoise
communications of the acm, Vol. 22, Num. 2, Feb. 1979
A Portable Machine-Independent Global Optimizer - Design and Measurements
Frederick Chow
Stanford Ph.D. thesis, Dec. 1983
xxx
Elimination Algorithms for Data Flow Analysis
B.G. Ryder, M.C. Paull
ACM Computing Surveys, Vol. 18, Num. 3, Sep. 1986
reread
A Fast Algorithm for Code Movement Optimization
D.M. Dhamdhere
SIGPLAN Notices, Vol. 23, Num. 10, Oct. 1988
A Solution to a Problem with Morel and Renvoise's
Global Optimization by Suppression of Partial Redundancies
K-H Drechsler, M.P. Stadel
ACM TOPLAS, Vol. 10, Num. 4, Oct. 1988
Practical Adaptation of the Global Optimization
Algorithm of Morel and Renvoise
D.M. Dhamdhere
ACM TOPLAS, Vol. 13, Num. 2. Apr. 1991
Efficiently Computing Static Single Assignment Form and the Control
Dependence Graph
R. Cytron, J. Ferrante, B.K. Rosen, M.N. Wegman, and F.K. Zadeck
ACM TOPLAS, Vol. 13, Num. 4, Oct. 1991
yyy
How to Analyze Large Programs Efficiently and Informatively
D.M. Dhamdhere, B.K. Rosen, F.K. Zadeck
ACM SIGPLAN Notices Vol. 27, Num. 7, Jul. 1992, '92 Conference on PLDI
Lazy Code Motion
J. Knoop, O. Ruthing, B. Steffen
ACM SIGPLAN Notices Vol. 27, Num. 7, Jul. 1992, '92 Conference on PLDI
What's In a Region? Or Computing Control Dependence Regions in Near-Linear
Time for Reducible Flow Control
Thomas Ball
ACM Letters on Programming Languages and Systems,
Vol. 2, Num. 1-4, Mar-Dec 1993
An Efficient Representation for Sparse Sets
Preston Briggs, Linda Torczon
ACM Letters on Programming Languages and Systems,
Vol. 2, Num. 1-4, Mar-Dec 1993
A Variation of Knoop, Ruthing, and Steffen's Lazy Code Motion
K-H Drechsler, M.P. Stadel
ACM SIGPLAN Notices, Vol. 28, Num. 5, May 1993
Partial Dead Code Elimination
J. Knoop, O. Ruthing, B. Steffen
ACM SIGPLAN Notices, Vol. 29, Num. 6, Jun. 1994
Effective Partial Redundancy Elimination
P. Briggs, K.D. Cooper
ACM SIGPLAN Notices, Vol. 29, Num. 6, Jun. 1994
The Program Structure Tree: Computing Control Regions in Linear Time
R. Johnson, D. Pearson, K. Pingali
ACM SIGPLAN Notices, Vol. 29, Num. 6, Jun. 1994
Optimal Code Motion: Theory and Practice
J. Knoop, O. Ruthing, B. Steffen
ACM TOPLAS, Vol. 16, Num. 4, Jul. 1994
The power of assignment motion
J. Knoop, O. Ruthing, B. Steffen
ACM SIGPLAN Notices Vol. 30, Num. 6, Jun. 1995, '95 Conference on PLDI
Global code motion / global value numbering
C. Click
ACM SIGPLAN Notices Vol. 30, Num. 6, Jun. 1995, '95 Conference on PLDI
Value Driven Redundancy Elimination
L.T. Simpson
Rice University Ph.D. thesis, Apr. 1996
Value Numbering
L.T. Simpson
Massively Scalar Compiler Project, Rice University, Sep. 1996
High Performance Compilers for Parallel Computing
Michael Wolfe
Addison-Wesley, 1996
People wishing to speed up the code here should read xxx, yyy.
People wishing to do something different can find various possibilities
in the above papers and elsewhere.
*/
#include "config.h"
/* Must precede rtl.h for FFS. */
#include "system.h"
#include "rtl.h"
#include "regs.h"
#include "hard-reg-set.h"
#include "flags.h"
#include "real.h"
#include "insn-config.h"
#include "recog.h"
#include "basic-block.h"
#include "output.h"
#include "obstack.h"
#define obstack_chunk_alloc gmalloc
#define obstack_chunk_free free
/* Maximum number of passes to perform. */
#define MAX_PASSES 1
/* Propagate flow information through back edges and thus enable PRE's
moving loop invariant calculations out of loops.
Originally this tended to create worse overall code, but several
improvements during the development of PRE seem to have made following
back edges generally a win.
Note much of the loop invariant code motion done here would normally
be done by loop.c, which has more heuristics for when to move invariants
out of loops. At some point we might need to move some of those
heuristics into gcse.c. */
#define FOLLOW_BACK_EDGES 1
/* We support two GCSE implementations: Classic GCSE (i.e. Dragon Book)
and PRE (Partial Redundancy Elimination) GCSE (based on Fred Chow's thesis).
The default is PRE.
In either case we perform the following steps:
1) Compute basic block information.
2) Compute table of places where registers are set.
3) Perform copy/constant propagation.
4) Perform global cse.
5) Perform another pass of copy/constant propagation [only if PRE].
Two passes of copy/constant propagation are done because the first one
enables more GCSE and the second one helps to clean up the copies that
GCSE creates. This is needed more for PRE than for Classic because Classic
GCSE will try to use an existing register containing the common
subexpression rather than create a new one. This is harder to do for PRE
because of the code motion (which Classic GCSE doesn't do).
Expressions we are interested in GCSE-ing are of the form
(set (pseudo-reg) (expression)).
Function want_to_gcse_p says what these are.
PRE handles moving invariant expressions out of loops (by treating them as
partially redundant). This feature of PRE is disabled here (by not
propagating dataflow information along back edges) because loop.c has more
involved (and thus typically better) heuristics for what to move out of
loops.
Eventually it would be nice to replace cse.c/gcse.c with SSA (static single
assignment) based GVN (global value numbering). L. T. Simpson's paper
(Rice University) on value numbering is a useful reference for this.
**********************
We used to support multiple passes but there are diminishing returns in
doing so. The first pass usually makes 90% of the changes that are doable.
A second pass can make a few more changes made possible by the first pass.
Experiments show any further passes don't make enough changes to justify
the expense.
A study of spec92 using an unlimited number of passes:
[1 pass] = 1208 substitutions, [2] = 577, [3] = 202, [4] = 192, [5] = 83,
[6] = 34, [7] = 17, [8] = 9, [9] = 4, [10] = 4, [11] = 2,
[12] = 2, [13] = 1, [15] = 1, [16] = 2, [41] = 1
It was found doing copy propagation between each pass enables further
substitutions.
PRE is quite expensive in complicated functions because the DFA can take
awhile to converge. Hence we only perform one pass. Macro MAX_PASSES can
be modified if one wants to experiment.
**********************
The steps for PRE are:
1) Build the hash table of expressions we wish to GCSE (expr_hash_table).
2) Perform the data flow analysis for PRE.
3) Delete the redundant instructions
4) Insert the required copies [if any] that make the partially
redundant instructions fully redundant.
5) For other reaching expressions, insert an instruction to copy the value
to a newly created pseudo that will reach the redundant instruction.
The deletion is done first so that when we do insertions we
know which pseudo reg to use.
Various papers have argued that PRE DFA is expensive (O(n^2)) and others
argue it is not. The number of iterations for the algorithm to converge
is typically 2-4 so I don't view it as that expensive (relatively speaking).
PRE GCSE depends heavily on the seconds CSE pass to clean up the copies
we create. To make an expression reach the place where it's redundant,
the result of the expression is copied to a new register, and the redundant
expression is deleted by replacing it with this new register. Classic GCSE
doesn't have this problem as much as it computes the reaching defs of
each register in each block and thus can try to use an existing register.
**********************
When -fclassic-gcse, we perform a classic global CSE pass.
It is based on the algorithms in the Dragon book, and is based on code
written by Devor Tevi at Intel.
The steps for Classic GCSE are:
1) Build the hash table of expressions we wish to GCSE (expr_hash_table).
Also recorded are reaching definition "gen" statements (rd_gen)
2) Compute the reaching definitions (reaching_defs).
This is a bitmap for each basic block indexed by INSN_CUID that is 1
for each statement containing a definition that reaches the block.
3) Compute the available expressions (ae_in).
This is a bitmap for each basic block indexed by expression number
that is 1 for each expression that is available at the beginning of
the block.
4) Perform GCSE.
This is done by scanning each instruction looking for sets of the form
(set (pseudo-reg) (expression)) and checking if `expression' is in the
hash table. If it is, and if the expression is available, and if only
one computation of the expression reaches the instruction, we substitute
the expression for a register containing its value. If there is no
such register, but the expression is expensive enough we create an
instruction to copy the result of the expression into and use that.
**********************
A fair bit of simplicity is created by creating small functions for simple
tasks, even when the function is only called in one place. This may
measurably slow things down [or may not] by creating more function call
overhead than is necessary. The source is laid out so that it's trivial
to make the affected functions inline so that one can measure what speed
up, if any, can be achieved, and maybe later when things settle things can
be rearranged.
Help stamp out big monolithic functions! */
/* GCSE global vars. */
/* -dG dump file. */
static FILE *gcse_file;
/* Bitmaps are normally not included in debugging dumps.
However it's useful to be able to print them from GDB.
We could create special functions for this, but it's simpler to
just allow passing stderr to the dump_foo fns. Since stderr can
be a macro, we store a copy here. */
static FILE *debug_stderr;
/* An obstack for our working variables. */
static struct obstack gcse_obstack;
/* Non-zero for each mode that supports (set (reg) (reg)).
This is trivially true for integer and floating point values.
It may or may not be true for condition codes. */
static char can_copy_p[(int) NUM_MACHINE_MODES];
/* Non-zero if can_copy_p has been initialized. */
static int can_copy_init_p;
/* Element I is a list of I's predecessors/successors. */
static int_list_ptr *s_preds;
static int_list_ptr *s_succs;
/* Element I is the number of predecessors/successors of basic block I. */
static int *num_preds;
static int *num_succs;
/* Hash table of expressions. */
struct expr
{
/* The expression (SET_SRC for expressions, PATTERN for assignments). */
rtx expr;
/* Index in the available expression bitmaps. */
int bitmap_index;
/* Next entry with the same hash. */
struct expr *next_same_hash;
/* List of anticipatable occurrences in basic blocks in the function.
An "anticipatable occurrence" is one that is the first occurrence in the
basic block and the operands are not modified in the basic block prior
to the occurrence. */
struct occr *antic_occr;
/* List of available occurrence in basic blocks in the function.
An "available occurrence" is one that is the last occurrence in the
basic block and the operands are not modified by following statements in
the basic block [including this insn]. */
struct occr *avail_occr;
/* Non-null if the computation is PRE redundant.
The value is the newly created pseudo-reg to record a copy of the
expression in all the places that reach the redundant copy. */
rtx reaching_reg;
};
/* Occurrence of an expression.
There is one per basic block. If a pattern appears more than once the
last appearance is used [or first for anticipatable expressions]. */
struct occr
{
/* Next occurrence of this expression. */
struct occr *next;
/* The insn that computes the expression. */
rtx insn;
/* Non-zero if this [anticipatable] occurrence has been deleted. */
char deleted_p;
/* Non-zero if this [available] occurrence has been copied to
reaching_reg. */
/* ??? This is mutually exclusive with deleted_p, so they could share
the same byte. */
char copied_p;
};
/* Expression and copy propagation hash tables.
Each hash table is an array of buckets.
??? It is known that if it were an array of entries, structure elements
`next_same_hash' and `bitmap_index' wouldn't be necessary. However, it is
not clear whether in the final analysis a sufficient amount of memory would
be saved as the size of the available expression bitmaps would be larger
[one could build a mapping table without holes afterwards though].
Someday I'll perform the computation and figure it out.
*/
/* Total size of the expression hash table, in elements. */
static int expr_hash_table_size;
/* The table itself.
This is an array of `expr_hash_table_size' elements. */
static struct expr **expr_hash_table;
/* Total size of the copy propagation hash table, in elements. */
static int set_hash_table_size;
/* The table itself.
This is an array of `set_hash_table_size' elements. */
static struct expr **set_hash_table;
/* Mapping of uids to cuids.
Only real insns get cuids. */
static int *uid_cuid;
/* Highest UID in UID_CUID. */
static int max_uid;
/* Get the cuid of an insn. */
#define INSN_CUID(INSN) (uid_cuid[INSN_UID (INSN)])
/* Number of cuids. */
static int max_cuid;
/* Mapping of cuids to insns. */
static rtx *cuid_insn;
/* Get insn from cuid. */
#define CUID_INSN(CUID) (cuid_insn[CUID])
/* Maximum register number in function prior to doing gcse + 1.
Registers created during this pass have regno >= max_gcse_regno.
This is named with "gcse" to not collide with global of same name. */
static int max_gcse_regno;
/* Maximum number of cse-able expressions found. */
static int n_exprs;
/* Maximum number of assignments for copy propagation found. */
static int n_sets;
/* Table of registers that are modified.
For each register, each element is a list of places where the pseudo-reg
is set.
For simplicity, GCSE is done on sets of pseudo-regs only. PRE GCSE only
requires knowledge of which blocks kill which regs [and thus could use
a bitmap instead of the lists `reg_set_table' uses]. The classic GCSE
uses the information in lists.
If the classic GCSE pass is deleted `reg_set_table' and could be turned
into an array of bitmaps (num-bbs x num-regs)
[however perhaps it may be useful to keep the data as is].
One advantage of recording things this way is that `reg_set_table' is
fairly sparse with respect to pseudo regs but for hard regs could be
fairly dense [relatively speaking].
And recording sets of pseudo-regs in lists speeds
up functions like compute_transp since in the case of pseudo-regs we only
need to iterate over the number of times a pseudo-reg is set, not over the
number of basic blocks [clearly there is a bit of a slow down in the cases
where a pseudo is set more than once in a block, however it is believed
that the net effect is to speed things up]. This isn't done for hard-regs
because recording call-clobbered hard-regs in `reg_set_table' at each
function call can consume a fair bit of memory, and iterating over hard-regs
stored this way in compute_transp will be more expensive. */
typedef struct reg_set {
/* The next setting of this register. */
struct reg_set *next;
/* The insn where it was set. */
rtx insn;
} reg_set;
static reg_set **reg_set_table;
/* Size of `reg_set_table'.
The table starts out at max_gcse_regno + slop, and is enlarged as
necessary. */
static int reg_set_table_size;
/* Amount to grow `reg_set_table' by when it's full. */
#define REG_SET_TABLE_SLOP 100
/* Bitmap containing one bit for each register in the program.
Used when performing GCSE to track which registers have been set since
the start of the basic block. */
static sbitmap reg_set_bitmap;
/* For each block, a bitmap of registers set in the block.
This is used by expr_killed_p and compute_transp.
It is computed during hash table computation and not by compute_sets
as it includes registers added since the last pass (or between cprop and
gcse) and it's currently not easy to realloc sbitmap vectors. */
static sbitmap *reg_set_in_block;
/* For each block, non-zero if memory is set in that block.
This is computed during hash table computation and is used by
expr_killed_p and compute_transp.
??? Handling of memory is very simple, we don't make any attempt
to optimize things (later).
??? This can be computed by compute_sets since the information
doesn't change. */
static char *mem_set_in_block;
/* Various variables for statistics gathering. */
/* Memory used in a pass.
This isn't intended to be absolutely precise. Its intent is only
to keep an eye on memory usage. */
static int bytes_used;
/* GCSE substitutions made. */
static int gcse_subst_count;
/* Number of copy instructions created. */
static int gcse_create_count;
/* Number of constants propagated. */
static int const_prop_count;
/* Number of copys propagated. */
static int copy_prop_count;
extern char *current_function_name;
extern int current_function_calls_setjmp;
extern int current_function_calls_longjmp;
/* These variables are used by classic GCSE.
Normally they'd be defined a bit later, but `rd_gen' needs to
be declared sooner. */
/* A bitmap of all ones for implementing the algorithm for available
expressions and reaching definitions. */
/* ??? Available expression bitmaps have a different size than reaching
definition bitmaps. This should be the larger of the two, however, it
is not currently used for reaching definitions. */
static sbitmap u_bitmap;
/* Each block has a bitmap of each type.
The length of each blocks bitmap is:
max_cuid - for reaching definitions
n_exprs - for available expressions
Thus we view the bitmaps as 2 dimensional arrays. i.e.
rd_kill[block_num][cuid_num]
ae_kill[block_num][expr_num]
*/
/* For reaching defs */
static sbitmap *rd_kill, *rd_gen, *reaching_defs, *rd_out;
/* for available exprs */
static sbitmap *ae_kill, *ae_gen, *ae_in, *ae_out;
static void compute_can_copy PROTO ((void));
static char *gmalloc PROTO ((unsigned int));
static char *grealloc PROTO ((char *, unsigned int));
static char *gcse_alloc PROTO ((unsigned long));
static void alloc_gcse_mem PROTO ((rtx));
static void free_gcse_mem PROTO ((void));
extern void dump_cuid_table PROTO ((FILE *));
static void alloc_reg_set_mem PROTO ((int));
static void free_reg_set_mem PROTO ((void));
static void record_one_set PROTO ((int, rtx));
static void record_set_info PROTO ((rtx, rtx));
static void compute_sets PROTO ((rtx));
static void hash_scan_insn PROTO ((rtx, int, int));
static void hash_scan_set PROTO ((rtx, rtx, int));
static void hash_scan_clobber PROTO ((rtx, rtx));
static void hash_scan_call PROTO ((rtx, rtx));
static void maybe_set_rd_gen PROTO ((int, rtx));
static int want_to_gcse_p PROTO ((rtx));
static int oprs_unchanged_p PROTO ((rtx, rtx, int));
static int oprs_anticipatable_p PROTO ((rtx, rtx));
static int oprs_available_p PROTO ((rtx, rtx));
static void insert_expr_in_table PROTO ((rtx, enum machine_mode, rtx, int, int));
static void insert_set_in_table PROTO ((rtx, rtx));
static unsigned int hash_expr PROTO ((rtx, enum machine_mode, int *, int));
static unsigned int hash_expr_1 PROTO ((rtx, enum machine_mode, int *));
static unsigned int hash_set PROTO ((int, int));
static int expr_equiv_p PROTO ((rtx, rtx));
static void record_last_reg_set_info PROTO ((rtx, int));
static void record_last_mem_set_info PROTO ((rtx));
static void record_last_set_info PROTO ((rtx, rtx));
static void compute_hash_table PROTO ((rtx, int));
static void alloc_set_hash_table PROTO ((int));
static void free_set_hash_table PROTO ((void));
static void compute_set_hash_table PROTO ((rtx));
static void alloc_expr_hash_table PROTO ((int));
static void free_expr_hash_table PROTO ((void));
static void compute_expr_hash_table PROTO ((rtx));
static void dump_hash_table PROTO ((FILE *, char *, struct expr **, int, int));
static struct expr *lookup_expr PROTO ((rtx));
static struct expr *lookup_set PROTO ((int, rtx));
static struct expr *next_set PROTO ((int, struct expr *));
static void reset_opr_set_tables PROTO ((void));
static int oprs_not_set_p PROTO ((rtx, rtx));
static void mark_call PROTO ((rtx, rtx));
static void mark_set PROTO ((rtx, rtx));
static void mark_clobber PROTO ((rtx, rtx));
static void mark_oprs_set PROTO ((rtx));
static void alloc_rd_mem PROTO ((int, int));
static void free_rd_mem PROTO ((void));
static void compute_kill_rd PROTO ((void));
static void handle_rd_kill_set PROTO ((rtx, int, int));
static void compute_rd PROTO ((void));
extern void dump_rd_table PROTO ((FILE *, char *, sbitmap *));
static void alloc_avail_expr_mem PROTO ((int, int));
static void free_avail_expr_mem PROTO ((void));
static void compute_ae_gen PROTO ((void));
static void compute_ae_kill PROTO ((void));
static int expr_killed_p PROTO ((rtx, int));
static void compute_available PROTO ((void));
static int expr_reaches_here_p PROTO ((struct occr *, struct expr *,
int, int, char *));
static rtx computing_insn PROTO ((struct expr *, rtx));
static int def_reaches_here_p PROTO ((rtx, rtx));
static int can_disregard_other_sets PROTO ((struct reg_set **, rtx, int));
static int handle_avail_expr PROTO ((rtx, struct expr *));
static int classic_gcse PROTO ((void));
static int one_classic_gcse_pass PROTO ((rtx, int));
static void alloc_cprop_mem PROTO ((int, int));
static void free_cprop_mem PROTO ((void));
extern void dump_cprop_data PROTO ((FILE *));
static void compute_transp PROTO ((rtx, int, sbitmap *, int));
static void compute_cprop_local_properties PROTO ((void));
static void compute_cprop_avinout PROTO ((void));
static void compute_cprop_data PROTO ((void));
static void find_used_regs PROTO ((rtx));
static int try_replace_reg PROTO ((rtx, rtx, rtx));
static struct expr *find_avail_set PROTO ((int, rtx));
static int cprop_insn PROTO ((rtx));
static int cprop PROTO ((void));
static int one_cprop_pass PROTO ((rtx, int));
static void alloc_pre_mem PROTO ((int, int));
static void free_pre_mem PROTO ((void));
extern void dump_pre_data PROTO ((FILE *));
static void compute_pre_local_properties PROTO ((void));
static void compute_pre_avinout PROTO ((void));
static void compute_pre_antinout PROTO ((void));
static void compute_pre_pavinout PROTO ((void));
static void compute_pre_ppinout PROTO ((void));
static void compute_pre_data PROTO ((void));
static int pre_expr_reaches_here_p PROTO ((struct occr *, struct expr *,
int, char *));
static void pre_insert_insn PROTO ((struct expr *, int));
static void pre_insert PROTO ((struct expr **));
static void pre_insert_copy_insn PROTO ((struct expr *, rtx));
static void pre_insert_copies PROTO ((void));
static int pre_delete PROTO ((void));
static int pre_gcse PROTO ((void));
static int one_pre_gcse_pass PROTO ((rtx, int));
static void add_label_notes PROTO ((rtx, rtx));
/* Entry point for global common subexpression elimination.
F is the first instruction in the function. */
void
gcse_main (f, file)
rtx f;
FILE *file;
{
int changed, pass;
/* Bytes used at start of pass. */
int initial_bytes_used;
/* Maximum number of bytes used by a pass. */
int max_pass_bytes;
/* Point to release obstack data from for each pass. */
char *gcse_obstack_bottom;
/* It's impossible to construct a correct control flow graph in the
presense of setjmp, so just punt to be safe. */
if (current_function_calls_setjmp)
return;
/* For calling dump_foo fns from gdb. */
debug_stderr = stderr;
max_gcse_regno = max_reg_num ();
find_basic_blocks (f, max_gcse_regno, file, 0);
/* Return if there's nothing to do. */
if (n_basic_blocks <= 1)
{
/* Free storage allocated by find_basic_blocks. */
free_basic_block_vars (0);
return;
}
/* See what modes support reg/reg copy operations. */
if (! can_copy_init_p)
{
compute_can_copy ();
can_copy_init_p = 1;
}
gcc_obstack_init (&gcse_obstack);
gcse_file = file;
/* Allocate and compute predecessors/successors. */
s_preds = (int_list_ptr *) alloca (n_basic_blocks * sizeof (int_list_ptr));
s_succs = (int_list_ptr *) alloca (n_basic_blocks * sizeof (int_list_ptr));
num_preds = (int *) alloca (n_basic_blocks * sizeof (int));
num_succs = (int *) alloca (n_basic_blocks * sizeof (int));
bytes_used = 4 * n_basic_blocks * sizeof (int_list_ptr);
compute_preds_succs (s_preds, s_succs, num_preds, num_succs);
if (file)
{
dump_bb_data (file, s_preds, s_succs);
}
/* Record where pseudo-registers are set.
This data is kept accurate during each pass.
??? We could also record hard-reg and memory information here
[since it's unchanging], however it is currently done during
hash table computation. */
alloc_reg_set_mem (max_gcse_regno);
compute_sets (f);
pass = 0;
initial_bytes_used = bytes_used;
max_pass_bytes = 0;
gcse_obstack_bottom = gcse_alloc (1);
changed = 1;
while (changed && pass < MAX_PASSES)
{
changed = 0;
if (file)
fprintf (file, "GCSE pass %d\n\n", pass + 1);
/* Initialize bytes_used to the space for the pred/succ lists,
and the reg_set_table data. */
bytes_used = initial_bytes_used;
/* Each pass may create new registers, so recalculate each time. */
max_gcse_regno = max_reg_num ();
alloc_gcse_mem (f);
changed = one_cprop_pass (f, pass + 1);
if (optimize_size)
changed |= one_classic_gcse_pass (f, pass + 1);
else
changed |= one_pre_gcse_pass (f, pass + 1);
if (max_pass_bytes < bytes_used)
max_pass_bytes = bytes_used;
free_gcse_mem ();
if (file)
{
fprintf (file, "\n");
fflush (file);
}
obstack_free (&gcse_obstack, gcse_obstack_bottom);
pass++;
}
/* If we're doing PRE, do one last pass of copy propagation. */
if (! optimize_size)
{
max_gcse_regno = max_reg_num ();
alloc_gcse_mem (f);
one_cprop_pass (f, pass + 1);
free_gcse_mem ();
}
if (file)
{
fprintf (file, "GCSE of %s: %d basic blocks, ",
current_function_name, n_basic_blocks);
fprintf (file, "%d pass%s, %d bytes\n\n",
pass, pass > 1 ? "es" : "", max_pass_bytes);
}
/* Free our obstack. */
obstack_free (&gcse_obstack, NULL_PTR);
/* Free reg_set_table. */
free_reg_set_mem ();
/* Free storage used to record predecessor/successor data. */
free_bb_mem ();
/* Free storage allocated by find_basic_blocks. */
free_basic_block_vars (0);
}
/* Misc. utilities. */
/* Compute which modes support reg/reg copy operations. */
static void
compute_can_copy ()
{
int i;
#ifndef AVOID_CCMODE_COPIES
rtx reg,insn;
#endif
char *free_point = (char *) oballoc (1);
bzero (can_copy_p, NUM_MACHINE_MODES);
start_sequence ();
for (i = 0; i < NUM_MACHINE_MODES; i++)
{
switch (GET_MODE_CLASS (i))
{
case MODE_CC :
#ifdef AVOID_CCMODE_COPIES
can_copy_p[i] = 0;
#else
reg = gen_rtx_REG ((enum machine_mode) i, LAST_VIRTUAL_REGISTER + 1);
insn = emit_insn (gen_rtx_SET (VOIDmode, reg, reg));
if (recog (PATTERN (insn), insn, NULL_PTR) >= 0)
can_copy_p[i] = 1;
#endif
break;
default :
can_copy_p[i] = 1;
break;
}
}
end_sequence ();
/* Free the objects we just allocated. */
obfree (free_point);
}
/* Cover function to xmalloc to record bytes allocated. */
static char *
gmalloc (size)
unsigned int size;
{
bytes_used += size;
return xmalloc (size);
}
/* Cover function to xrealloc.
We don't record the additional size since we don't know it.
It won't affect memory usage stats much anyway. */
static char *
grealloc (ptr, size)
char *ptr;
unsigned int size;
{
return xrealloc (ptr, size);
}
/* Cover function to obstack_alloc.
We don't need to record the bytes allocated here since
obstack_chunk_alloc is set to gmalloc. */
static char *
gcse_alloc (size)
unsigned long size;
{
return (char *) obstack_alloc (&gcse_obstack, size);
}
/* Allocate memory for the cuid mapping array,
and reg/memory set tracking tables.
This is called at the start of each pass. */
static void
alloc_gcse_mem (f)
rtx f;
{
int i,n;
rtx insn;
/* Find the largest UID and create a mapping from UIDs to CUIDs.
CUIDs are like UIDs except they increase monotonically, have no gaps,
and only apply to real insns. */
max_uid = get_max_uid ();
n = (max_uid + 1) * sizeof (int);
uid_cuid = (int *) gmalloc (n);
bzero ((char *) uid_cuid, n);
for (insn = f, i = 0; insn; insn = NEXT_INSN (insn))
{
if (GET_RTX_CLASS (GET_CODE (insn)) == 'i')
INSN_CUID (insn) = i++;
else
INSN_CUID (insn) = i;
}
/* Create a table mapping cuids to insns. */
max_cuid = i;
n = (max_cuid + 1) * sizeof (rtx);
cuid_insn = (rtx *) gmalloc (n);
bzero ((char *) cuid_insn, n);
for (insn = f, i = 0; insn; insn = NEXT_INSN (insn))
{
if (GET_RTX_CLASS (GET_CODE (insn)) == 'i')
{
CUID_INSN (i) = insn;
i++;
}
}
/* Allocate vars to track sets of regs. */
reg_set_bitmap = (sbitmap) sbitmap_alloc (max_gcse_regno);
/* Allocate vars to track sets of regs, memory per block. */
reg_set_in_block = (sbitmap *) sbitmap_vector_alloc (n_basic_blocks,
max_gcse_regno);
mem_set_in_block = (char *) gmalloc (n_basic_blocks);
}
/* Free memory allocated by alloc_gcse_mem. */
static void
free_gcse_mem ()
{
free (uid_cuid);
free (cuid_insn);
free (reg_set_bitmap);
free (reg_set_in_block);
free (mem_set_in_block);
}
void
dump_cuid_table (file)
FILE *file;
{
int i,n;
fprintf (file, "CUID table\n");
for (i = n = 0; i < max_cuid; i++)
{
rtx insn = CUID_INSN (i);
if (n != 0 && n % 10 == 0)
fprintf (file, "\n");
if (insn != NULL)
fprintf (file, " %d", INSN_UID (insn));
}
fprintf (file, "\n\n");
}
/* Register set information.
`reg_set_table' records where each register is set or otherwise
modified. */
static struct obstack reg_set_obstack;
static void
alloc_reg_set_mem (n_regs)
int n_regs;
{
int n;
reg_set_table_size = n_regs + REG_SET_TABLE_SLOP;
n = reg_set_table_size * sizeof (struct reg_set *);
reg_set_table = (struct reg_set **) gmalloc (n);
bzero ((char *) reg_set_table, n);
gcc_obstack_init (®_set_obstack);
}
static void
free_reg_set_mem ()
{
free (reg_set_table);
obstack_free (®_set_obstack, NULL_PTR);
}
/* Record REGNO in the reg_set table. */
static void
record_one_set (regno, insn)
int regno;
rtx insn;
{
/* allocate a new reg_set element and link it onto the list */
struct reg_set *new_reg_info, *reg_info_ptr1, *reg_info_ptr2;
/* If the table isn't big enough, enlarge it. */
if (regno >= reg_set_table_size)
{
int new_size = regno + REG_SET_TABLE_SLOP;
reg_set_table = (struct reg_set **)
grealloc ((char *) reg_set_table,
new_size * sizeof (struct reg_set *));
bzero ((char *) (reg_set_table + reg_set_table_size),
(new_size - reg_set_table_size) * sizeof (struct reg_set *));
reg_set_table_size = new_size;
}
new_reg_info = (struct reg_set *) obstack_alloc (®_set_obstack,
sizeof (struct reg_set));
bytes_used += sizeof (struct reg_set);
new_reg_info->insn = insn;
new_reg_info->next = NULL;
if (reg_set_table[regno] == NULL)
reg_set_table[regno] = new_reg_info;
else
{
reg_info_ptr1 = reg_info_ptr2 = reg_set_table[regno];
/* ??? One could keep a "last" pointer to speed this up. */
while (reg_info_ptr1 != NULL)
{
reg_info_ptr2 = reg_info_ptr1;
reg_info_ptr1 = reg_info_ptr1->next;
}
reg_info_ptr2->next = new_reg_info;
}
}
/* For communication between next two functions (via note_stores). */
static rtx record_set_insn;
/* Called from compute_sets via note_stores to handle one
SET or CLOBBER in an insn. */
static void
record_set_info (dest, setter)
rtx dest, setter ATTRIBUTE_UNUSED;
{
if (GET_CODE (dest) == SUBREG)
dest = SUBREG_REG (dest);
if (GET_CODE (dest) == REG)
{
if (REGNO (dest) >= FIRST_PSEUDO_REGISTER)
record_one_set (REGNO (dest), record_set_insn);
}
}
/* Scan the function and record each set of each pseudo-register.
This is called once, at the start of the gcse pass.
See the comments for `reg_set_table' for further docs. */
static void
compute_sets (f)
rtx f;
{
rtx insn = f;
while (insn)
{
if (GET_RTX_CLASS (GET_CODE (insn)) == 'i')
{
record_set_insn = insn;
note_stores (PATTERN (insn), record_set_info);
}
insn = NEXT_INSN (insn);
}
}
/* Hash table support. */
#define NEVER_SET -1
/* For each register, the cuid of the first/last insn in the block to set it,
or zero if not set. */
static int *reg_first_set;
static int *reg_last_set;
/* While computing "first/last set" info, this is the CUID of first/last insn
to set memory or zero if not set. `mem_last_set' is also used when
performing GCSE to record whether memory has been set since the beginning
of the block.
Note that handling of memory is very simple, we don't make any attempt
to optimize things (later). */
static int mem_first_set;
static int mem_last_set;
/* Set the appropriate bit in `rd_gen' [the gen for reaching defs] if the
register set in this insn is not set after this insn in this block. */
static void
maybe_set_rd_gen (regno, insn)
int regno;
rtx insn;
{
if (reg_last_set[regno] <= INSN_CUID (insn))
SET_BIT (rd_gen[BLOCK_NUM (insn)], INSN_CUID (insn));
}
/* Perform a quick check whether X, the source of a set, is something
we want to consider for GCSE. */
static int
want_to_gcse_p (x)
rtx x;
{
enum rtx_code code = GET_CODE (x);
switch (code)
{
case REG:
case SUBREG:
case CONST_INT:
case CONST_DOUBLE:
case CALL:
return 0;
default:
break;
}
return 1;
}
/* Return non-zero if the operands of expression X are unchanged from the
start of INSN's basic block up to but not including INSN (if AVAIL_P == 0),
or from INSN to the end of INSN's basic block (if AVAIL_P != 0). */
static int
oprs_unchanged_p (x, insn, avail_p)
rtx x, insn;
int avail_p;
{
int i;
enum rtx_code code;
char *fmt;
/* repeat is used to turn tail-recursion into iteration. */
repeat:
if (x == 0)
return 1;
code = GET_CODE (x);
switch (code)
{
case REG:
if (avail_p)
return (reg_last_set[REGNO (x)] == NEVER_SET
|| reg_last_set[REGNO (x)] < INSN_CUID (insn));
else
return (reg_first_set[REGNO (x)] == NEVER_SET
|| reg_first_set[REGNO (x)] >= INSN_CUID (insn));
case MEM:
if (avail_p)
{
if (mem_last_set != NEVER_SET
&& mem_last_set >= INSN_CUID (insn))
return 0;
}
else
{
if (mem_first_set != NEVER_SET
&& mem_first_set < INSN_CUID (insn))
return 0;
}
x = XEXP (x, 0);
goto repeat;
case PRE_DEC:
case PRE_INC:
case POST_DEC:
case POST_INC:
return 0;
case PC:
case CC0: /*FIXME*/
case CONST:
case CONST_INT:
case CONST_DOUBLE:
case SYMBOL_REF:
case LABEL_REF:
case ADDR_VEC:
case ADDR_DIFF_VEC:
return 1;
default:
break;
}
i = GET_RTX_LENGTH (code) - 1;
fmt = GET_RTX_FORMAT (code);
for (; i >= 0; i--)
{
if (fmt[i] == 'e')
{
rtx tem = XEXP (x, i);
/* If we are about to do the last recursive call
needed at this level, change it into iteration.
This function is called enough to be worth it. */
if (i == 0)
{
x = tem;
goto repeat;
}
if (! oprs_unchanged_p (tem, insn, avail_p))
return 0;
}
else if (fmt[i] == 'E')
{
int j;
for (j = 0; j < XVECLEN (x, i); j++)
{
if (! oprs_unchanged_p (XVECEXP (x, i, j), insn, avail_p))
return 0;
}
}
}
return 1;
}
/* Return non-zero if the operands of expression X are unchanged from
the start of INSN's basic block up to but not including INSN. */
static int
oprs_anticipatable_p (x, insn)
rtx x, insn;
{
return oprs_unchanged_p (x, insn, 0);
}
/* Return non-zero if the operands of expression X are unchanged from
INSN to the end of INSN's basic block. */
static int
oprs_available_p (x, insn)
rtx x, insn;
{
return oprs_unchanged_p (x, insn, 1);
}
/* Hash expression X.
MODE is only used if X is a CONST_INT.
A boolean indicating if a volatile operand is found or if the expression
contains something we don't want to insert in the table is stored in
DO_NOT_RECORD_P.
??? One might want to merge this with canon_hash. Later. */
static unsigned int
hash_expr (x, mode, do_not_record_p, hash_table_size)
rtx x;
enum machine_mode mode;
int *do_not_record_p;
int hash_table_size;
{
unsigned int hash;
*do_not_record_p = 0;
hash = hash_expr_1 (x, mode, do_not_record_p);
return hash % hash_table_size;
}
/* Subroutine of hash_expr to do the actual work. */
static unsigned int
hash_expr_1 (x, mode, do_not_record_p)
rtx x;
enum machine_mode mode;
int *do_not_record_p;
{
int i, j;
unsigned hash = 0;
enum rtx_code code;
char *fmt;
/* repeat is used to turn tail-recursion into iteration. */
repeat:
if (x == 0)
return hash;
code = GET_CODE (x);
switch (code)
{
case REG:
{
register int regno = REGNO (x);
hash += ((unsigned) REG << 7) + regno;
return hash;
}
case CONST_INT:
{
unsigned HOST_WIDE_INT tem = INTVAL (x);
hash += ((unsigned) CONST_INT << 7) + (unsigned) mode + tem;
return hash;
}
case CONST_DOUBLE:
/* This is like the general case, except that it only counts
the integers representing the constant. */
hash += (unsigned) code + (unsigned) GET_MODE (x);
if (GET_MODE (x) != VOIDmode)
for (i = 2; i < GET_RTX_LENGTH (CONST_DOUBLE); i++)
{
unsigned tem = XINT (x, i);
hash += tem;
}
else
hash += ((unsigned) CONST_DOUBLE_LOW (x)
+ (unsigned) CONST_DOUBLE_HIGH (x));
return hash;
/* Assume there is only one rtx object for any given label. */
case LABEL_REF:
/* We don't hash on the address of the CODE_LABEL to avoid bootstrap
differences and differences between each stage's debugging dumps. */
hash += ((unsigned) LABEL_REF << 7) + CODE_LABEL_NUMBER (XEXP (x, 0));
return hash;
case SYMBOL_REF:
{
/* Don't hash on the symbol's address to avoid bootstrap differences.
Different hash values may cause expressions to be recorded in
different orders and thus different registers to be used in the
final assembler. This also avoids differences in the dump files
between various stages. */
unsigned int h = 0;
unsigned char *p = (unsigned char *) XSTR (x, 0);
while (*p)
h += (h << 7) + *p++; /* ??? revisit */
hash += ((unsigned) SYMBOL_REF << 7) + h;
return hash;
}
case MEM:
if (MEM_VOLATILE_P (x))
{
*do_not_record_p = 1;
return 0;
}
hash += (unsigned) MEM;
x = XEXP (x, 0);
goto repeat;
case PRE_DEC:
case PRE_INC:
case POST_DEC:
case POST_INC:
case PC:
case CC0:
case CALL:
case UNSPEC_VOLATILE:
*do_not_record_p = 1;
return 0;
case ASM_OPERANDS:
if (MEM_VOLATILE_P (x))
{
*do_not_record_p = 1;
return 0;
}
default:
break;
}
i = GET_RTX_LENGTH (code) - 1;
hash += (unsigned) code + (unsigned) GET_MODE (x);
fmt = GET_RTX_FORMAT (code);
for (; i >= 0; i--)
{
if (fmt[i] == 'e')
{
rtx tem = XEXP (x, i);
/* If we are about to do the last recursive call
needed at this level, change it into iteration.
This function is called enough to be worth it. */
if (i == 0)
{
x = tem;
goto repeat;
}
hash += hash_expr_1 (tem, 0, do_not_record_p);
if (*do_not_record_p)
return 0;
}
else if (fmt[i] == 'E')
for (j = 0; j < XVECLEN (x, i); j++)
{
hash += hash_expr_1 (XVECEXP (x, i, j), 0, do_not_record_p);
if (*do_not_record_p)
return 0;
}
else if (fmt[i] == 's')
{
register unsigned char *p = (unsigned char *) XSTR (x, i);
if (p)
while (*p)
hash += *p++;
}
else if (fmt[i] == 'i')
{
register unsigned tem = XINT (x, i);
hash += tem;
}
else
abort ();
}
return hash;
}
/* Hash a set of register REGNO.
Sets are hashed on the register that is set.
This simplifies the PRE copy propagation code.
??? May need to make things more elaborate. Later, as necessary. */
static unsigned int
hash_set (regno, hash_table_size)
int regno;
int hash_table_size;
{
unsigned int hash;
hash = regno;
return hash % hash_table_size;
}
/* Return non-zero if exp1 is equivalent to exp2.
??? Borrowed from cse.c. Might want to remerge with cse.c. Later. */
static int
expr_equiv_p (x, y)
rtx x, y;
{
register int i, j;
register enum rtx_code code;
register char *fmt;
if (x == y)
return 1;
if (x == 0 || y == 0)
return x == y;
code = GET_CODE (x);
if (code != GET_CODE (y))
return 0;
/* (MULT:SI x y) and (MULT:HI x y) are NOT equivalent. */
if (GET_MODE (x) != GET_MODE (y))
return 0;
switch (code)
{
case PC:
case CC0:
return x == y;
case CONST_INT:
return INTVAL (x) == INTVAL (y);
case LABEL_REF:
return XEXP (x, 0) == XEXP (y, 0);
case SYMBOL_REF:
return XSTR (x, 0) == XSTR (y, 0);
case REG:
return REGNO (x) == REGNO (y);
/* For commutative operations, check both orders. */
case PLUS:
case MULT:
case AND:
case IOR:
case XOR:
case NE:
case EQ:
return ((expr_equiv_p (XEXP (x, 0), XEXP (y, 0))
&& expr_equiv_p (XEXP (x, 1), XEXP (y, 1)))
|| (expr_equiv_p (XEXP (x, 0), XEXP (y, 1))
&& expr_equiv_p (XEXP (x, 1), XEXP (y, 0))));
default:
break;
}
/* Compare the elements. If any pair of corresponding elements
fail to match, return 0 for the whole thing. */
fmt = GET_RTX_FORMAT (code);
for (i = GET_RTX_LENGTH (code) - 1; i >= 0; i--)
{
switch (fmt[i])
{
case 'e':
if (! expr_equiv_p (XEXP (x, i), XEXP (y, i)))
return 0;
break;
case 'E':
if (XVECLEN (x, i) != XVECLEN (y, i))
return 0;
for (j = 0; j < XVECLEN (x, i); j++)
if (! expr_equiv_p (XVECEXP (x, i, j), XVECEXP (y, i, j)))
return 0;
break;
case 's':
if (strcmp (XSTR (x, i), XSTR (y, i)))
return 0;
break;
case 'i':
if (XINT (x, i) != XINT (y, i))
return 0;
break;
case 'w':
if (XWINT (x, i) != XWINT (y, i))
return 0;
break;
case '0':
break;
default:
abort ();
}
}
return 1;
}
/* Insert expression X in INSN in the hash table.
If it is already present, record it as the last occurrence in INSN's
basic block.
MODE is the mode of the value X is being stored into.
It is only used if X is a CONST_INT.
ANTIC_P is non-zero if X is an anticipatable expression.
AVAIL_P is non-zero if X is an available expression. */
static void
insert_expr_in_table (x, mode, insn, antic_p, avail_p)
rtx x;
enum machine_mode mode;
rtx insn;
int antic_p, avail_p;
{
int found, do_not_record_p;
unsigned int hash;
struct expr *cur_expr, *last_expr = NULL;
struct occr *antic_occr, *avail_occr;
struct occr *last_occr = NULL;
hash = hash_expr (x, mode, &do_not_record_p, expr_hash_table_size);
/* Do not insert expression in table if it contains volatile operands,
or if hash_expr determines the expression is something we don't want
to or can't handle. */
if (do_not_record_p)
return;
cur_expr = expr_hash_table[hash];
found = 0;
while (cur_expr && ! (found = expr_equiv_p (cur_expr->expr, x)))
{
/* If the expression isn't found, save a pointer to the end of
the list. */
last_expr = cur_expr;
cur_expr = cur_expr->next_same_hash;
}
if (! found)
{
cur_expr = (struct expr *) gcse_alloc (sizeof (struct expr));
bytes_used += sizeof (struct expr);
if (expr_hash_table[hash] == NULL)
{
/* This is the first pattern that hashed to this index. */
expr_hash_table[hash] = cur_expr;
}
else
{
/* Add EXPR to end of this hash chain. */
last_expr->next_same_hash = cur_expr;
}
/* Set the fields of the expr element. */
cur_expr->expr = x;
cur_expr->bitmap_index = n_exprs++;
cur_expr->next_same_hash = NULL;
cur_expr->antic_occr = NULL;
cur_expr->avail_occr = NULL;
}
/* Now record the occurrence(s). */
if (antic_p)
{
antic_occr = cur_expr->antic_occr;
/* Search for another occurrence in the same basic block. */
while (antic_occr && BLOCK_NUM (antic_occr->insn) != BLOCK_NUM (insn))
{
/* If an occurrence isn't found, save a pointer to the end of
the list. */
last_occr = antic_occr;
antic_occr = antic_occr->next;
}
if (antic_occr)
{
/* Found another instance of the expression in the same basic block.
Prefer the currently recorded one. We want the first one in the
block and the block is scanned from start to end. */
; /* nothing to do */
}
else
{
/* First occurrence of this expression in this basic block. */
antic_occr = (struct occr *) gcse_alloc (sizeof (struct occr));
bytes_used += sizeof (struct occr);
/* First occurrence of this expression in any block? */
if (cur_expr->antic_occr == NULL)
cur_expr->antic_occr = antic_occr;
else
last_occr->next = antic_occr;
antic_occr->insn = insn;
antic_occr->next = NULL;
}
}
if (avail_p)
{
avail_occr = cur_expr->avail_occr;
/* Search for another occurrence in the same basic block. */
while (avail_occr && BLOCK_NUM (avail_occr->insn) != BLOCK_NUM (insn))
{
/* If an occurrence isn't found, save a pointer to the end of
the list. */
last_occr = avail_occr;
avail_occr = avail_occr->next;
}
if (avail_occr)
{
/* Found another instance of the expression in the same basic block.
Prefer this occurrence to the currently recorded one. We want
the last one in the block and the block is scanned from start
to end. */
avail_occr->insn = insn;
}
else
{
/* First occurrence of this expression in this basic block. */
avail_occr = (struct occr *) gcse_alloc (sizeof (struct occr));
bytes_used += sizeof (struct occr);
/* First occurrence of this expression in any block? */
if (cur_expr->avail_occr == NULL)
cur_expr->avail_occr = avail_occr;
else
last_occr->next = avail_occr;
avail_occr->insn = insn;
avail_occr->next = NULL;
}
}
}
/* Insert pattern X in INSN in the hash table.
X is a SET of a reg to either another reg or a constant.
If it is already present, record it as the last occurrence in INSN's
basic block. */
static void
insert_set_in_table (x, insn)
rtx x;
rtx insn;
{
int found;
unsigned int hash;
struct expr *cur_expr, *last_expr = NULL;
struct occr *cur_occr, *last_occr = NULL;
if (GET_CODE (x) != SET
|| GET_CODE (SET_DEST (x)) != REG)
abort ();
hash = hash_set (REGNO (SET_DEST (x)), set_hash_table_size);
cur_expr = set_hash_table[hash];
found = 0;
while (cur_expr && ! (found = expr_equiv_p (cur_expr->expr, x)))
{
/* If the expression isn't found, save a pointer to the end of
the list. */
last_expr = cur_expr;
cur_expr = cur_expr->next_same_hash;
}
if (! found)
{
cur_expr = (struct expr *) gcse_alloc (sizeof (struct expr));
bytes_used += sizeof (struct expr);
if (set_hash_table[hash] == NULL)
{
/* This is the first pattern that hashed to this index. */
set_hash_table[hash] = cur_expr;
}
else
{
/* Add EXPR to end of this hash chain. */
last_expr->next_same_hash = cur_expr;
}
/* Set the fields of the expr element.
We must copy X because it can be modified when copy propagation is
performed on its operands. */
/* ??? Should this go in a different obstack? */
cur_expr->expr = copy_rtx (x);
cur_expr->bitmap_index = n_sets++;
cur_expr->next_same_hash = NULL;
cur_expr->antic_occr = NULL;
cur_expr->avail_occr = NULL;
}
/* Now record the occurrence. */
cur_occr = cur_expr->avail_occr;
/* Search for another occurrence in the same basic block. */
while (cur_occr && BLOCK_NUM (cur_occr->insn) != BLOCK_NUM (insn))
{
/* If an occurrence isn't found, save a pointer to the end of
the list. */
last_occr = cur_occr;
cur_occr = cur_occr->next;
}
if (cur_occr)
{
/* Found another instance of the expression in the same basic block.
Prefer this occurrence to the currently recorded one. We want
the last one in the block and the block is scanned from start
to end. */
cur_occr->insn = insn;
}
else
{
/* First occurrence of this expression in this basic block. */
cur_occr = (struct occr *) gcse_alloc (sizeof (struct occr));
bytes_used += sizeof (struct occr);
/* First occurrence of this expression in any block? */
if (cur_expr->avail_occr == NULL)
cur_expr->avail_occr = cur_occr;
else
last_occr->next = cur_occr;
cur_occr->insn = insn;
cur_occr->next = NULL;
}
}
/* Scan pattern PAT of INSN and add an entry to the hash table.
If SET_P is non-zero, this is for the assignment hash table,
otherwise it is for the expression hash table. */
static void
hash_scan_set (pat, insn, set_p)
rtx pat, insn;
int set_p;
{
rtx src = SET_SRC (pat);
rtx dest = SET_DEST (pat);
if (GET_CODE (src) == CALL)
hash_scan_call (src, insn);
if (GET_CODE (dest) == REG)
{
int regno = REGNO (dest);
rtx tmp;
/* Only record sets of pseudo-regs in the hash table. */
if (! set_p
&& regno >= FIRST_PSEUDO_REGISTER
/* Don't GCSE something if we can't do a reg/reg copy. */
&& can_copy_p [GET_MODE (dest)]
/* Is SET_SRC something we want to gcse? */
&& want_to_gcse_p (src))
{
/* An expression is not anticipatable if its operands are
modified before this insn. */
int antic_p = ! optimize_size && oprs_anticipatable_p (src, insn);
/* An expression is not available if its operands are
subsequently modified, including this insn. */
int avail_p = oprs_available_p (src, insn);
insert_expr_in_table (src, GET_MODE (dest), insn, antic_p, avail_p);
}
/* Record sets for constant/copy propagation. */
else if (set_p
&& regno >= FIRST_PSEUDO_REGISTER
&& ((GET_CODE (src) == REG
&& REGNO (src) >= FIRST_PSEUDO_REGISTER
&& can_copy_p [GET_MODE (dest)])
/* ??? CONST_INT:wip */
|| GET_CODE (src) == CONST_INT)
/* A copy is not available if its src or dest is subsequently
modified. Here we want to search from INSN+1 on, but
oprs_available_p searches from INSN on. */
&& (insn == BLOCK_END (BLOCK_NUM (insn))
|| ((tmp = next_nonnote_insn (insn)) != NULL_RTX
&& oprs_available_p (pat, tmp))))
insert_set_in_table (pat, insn);
}
/* Check if first/last set in this block for classic gcse,
but not for copy/constant propagation. */
if (optimize_size && !set_p)
{
rtx dest = SET_DEST (pat);
while (GET_CODE (dest) == SUBREG
|| GET_CODE (dest) == ZERO_EXTRACT
|| GET_CODE (dest) == SIGN_EXTRACT
|| GET_CODE (dest) == STRICT_LOW_PART)
dest = XEXP (dest, 0);
if (GET_CODE (dest) == REG)
maybe_set_rd_gen (REGNO (dest), insn);
}
}
static void
hash_scan_clobber (x, insn)
rtx x ATTRIBUTE_UNUSED, insn ATTRIBUTE_UNUSED;
{
/* Currently nothing to do. */
}
static void
hash_scan_call (x, insn)
rtx x ATTRIBUTE_UNUSED, insn ATTRIBUTE_UNUSED;
{
/* Currently nothing to do. */
}
/* Process INSN and add hash table entries as appropriate.
Only available expressions that set a single pseudo-reg are recorded.
Single sets in a PARALLEL could be handled, but it's an extra complication
that isn't dealt with right now. The trick is handling the CLOBBERs that
are also in the PARALLEL. Later.
If SET_P is non-zero, this is for the assignment hash table,
otherwise it is for the expression hash table.
If IN_LIBCALL_BLOCK nonzero, we are in a libcall block, and should
not record any expressions. */
static void
hash_scan_insn (insn, set_p, in_libcall_block)
rtx insn;
int set_p;
int in_libcall_block;
{
rtx pat = PATTERN (insn);
/* Pick out the sets of INSN and for other forms of instructions record
what's been modified. */
if (GET_CODE (pat) == SET && ! in_libcall_block)
hash_scan_set (pat, insn, set_p);
else if (GET_CODE (pat) == PARALLEL)
{
int i;
for (i = 0; i < XVECLEN (pat, 0); i++)
{
rtx x = XVECEXP (pat, 0, i);
if (GET_CODE (x) == SET)
{
if (GET_CODE (SET_SRC (x)) == CALL)
hash_scan_call (SET_SRC (x), insn);
/* Check if first/last set in this block for classic
gcse, but not for constant/copy propagation. */
if (optimize_size && !set_p)
{
rtx dest = SET_DEST (x);
while (GET_CODE (dest) == SUBREG
|| GET_CODE (dest) == ZERO_EXTRACT
|| GET_CODE (dest) == SIGN_EXTRACT
|| GET_CODE (dest) == STRICT_LOW_PART)
dest = XEXP (dest, 0);
if (GET_CODE (dest) == REG)
maybe_set_rd_gen (REGNO (dest), insn);
}
}
else if (GET_CODE (x) == CLOBBER)
hash_scan_clobber (x, insn);
else if (GET_CODE (x) == CALL)
hash_scan_call (x, insn);
}
}
else if (GET_CODE (pat) == CLOBBER)
hash_scan_clobber (pat, insn);
else if (GET_CODE (pat) == CALL)
hash_scan_call (pat, insn);
}
static void
dump_hash_table (file, name, table, table_size, total_size)
FILE *file;
char *name;
struct expr **table;
int table_size, total_size;
{
int i;
/* Flattened out table, so it's printed in proper order. */
struct expr **flat_table = (struct expr **) alloca (total_size * sizeof (struct expr *));
unsigned int *hash_val = (unsigned int *) alloca (total_size * sizeof (unsigned int));
bzero ((char *) flat_table, total_size * sizeof (struct expr *));
for (i = 0; i < table_size; i++)
{
struct expr *expr;
for (expr = table[i]; expr != NULL; expr = expr->next_same_hash)
{
flat_table[expr->bitmap_index] = expr;
hash_val[expr->bitmap_index] = i;
}
}
fprintf (file, "%s hash table (%d buckets, %d entries)\n",
name, table_size, total_size);
for (i = 0; i < total_size; i++)
{
struct expr *expr = flat_table[i];
fprintf (file, "Index %d (hash value %d)\n ",
expr->bitmap_index, hash_val[i]);
print_rtl (file, expr->expr);
fprintf (file, "\n");
}
fprintf (file, "\n");
}
/* Record register first/last/block set information for REGNO in INSN.
reg_first_set records the first place in the block where the register
is set and is used to compute "anticipatability".
reg_last_set records the last place in the block where the register
is set and is used to compute "availability".
reg_set_in_block records whether the register is set in the block
and is used to compute "transparency". */
static void
record_last_reg_set_info (insn, regno)
rtx insn;
int regno;
{
if (reg_first_set[regno] == NEVER_SET)
reg_first_set[regno] = INSN_CUID (insn);
reg_last_set[regno] = INSN_CUID (insn);
SET_BIT (reg_set_in_block[BLOCK_NUM (insn)], regno);
}
/* Record memory first/last/block set information for INSN. */
static void
record_last_mem_set_info (insn)
rtx insn;
{
if (mem_first_set == NEVER_SET)
mem_first_set = INSN_CUID (insn);
mem_last_set = INSN_CUID (insn);
mem_set_in_block[BLOCK_NUM (insn)] = 1;
}
/* Used for communicating between next two routines. */
static rtx last_set_insn;
/* Called from compute_hash_table via note_stores to handle one
SET or CLOBBER in an insn. */
static void
record_last_set_info (dest, setter)
rtx dest, setter ATTRIBUTE_UNUSED;
{
if (GET_CODE (dest) == SUBREG)
dest = SUBREG_REG (dest);
if (GET_CODE (dest) == REG)
record_last_reg_set_info (last_set_insn, REGNO (dest));
else if (GET_CODE (dest) == MEM
/* Ignore pushes, they clobber nothing. */
&& ! push_operand (dest, GET_MODE (dest)))
record_last_mem_set_info (last_set_insn);
}
/* Top level function to create an expression or assignment hash table.
Expression entries are placed in the hash table if
- they are of the form (set (pseudo-reg) src),
- src is something we want to perform GCSE on,
- none of the operands are subsequently modified in the block
Assignment entries are placed in the hash table if
- they are of the form (set (pseudo-reg) src),
- src is something we want to perform const/copy propagation on,
- none of the operands or target are subsequently modified in the block
Currently src must be a pseudo-reg or a const_int.
F is the first insn.
SET_P is non-zero for computing the assignment hash table. */
static void
compute_hash_table (f, set_p)
rtx f ATTRIBUTE_UNUSED;
int set_p;
{
int bb;
/* While we compute the hash table we also compute a bit array of which
registers are set in which blocks.
We also compute which blocks set memory, in the absence of aliasing
support [which is TODO].
??? This isn't needed during const/copy propagation, but it's cheap to
compute. Later. */
sbitmap_vector_zero (reg_set_in_block, n_basic_blocks);
bzero ((char *) mem_set_in_block, n_basic_blocks);
/* Some working arrays used to track first and last set in each block. */
/* ??? One could use alloca here, but at some size a threshold is crossed
beyond which one should use malloc. Are we at that threshold here? */
reg_first_set = (int *) gmalloc (max_gcse_regno * sizeof (int));
reg_last_set = (int *) gmalloc (max_gcse_regno * sizeof (int));
for (bb = 0; bb < n_basic_blocks; bb++)
{
rtx insn;
int regno;
int in_libcall_block;
int i;
/* First pass over the instructions records information used to
determine when registers and memory are first and last set.
??? The mem_set_in_block and hard-reg reg_set_in_block computation
could be moved to compute_sets since they currently don't change. */
for (i = 0; i < max_gcse_regno; i++)
reg_first_set[i] = reg_last_set[i] = NEVER_SET;
mem_first_set = NEVER_SET;
mem_last_set = NEVER_SET;
for (insn = basic_block_head[bb];
insn && insn != NEXT_INSN (basic_block_end[bb]);
insn = NEXT_INSN (insn))
{
#ifdef NON_SAVING_SETJMP
if (NON_SAVING_SETJMP && GET_CODE (insn) == NOTE
&& NOTE_LINE_NUMBER (insn) == NOTE_INSN_SETJMP)
{
for (regno = 0; regno < FIRST_PSEUDO_REGISTER; regno++)
record_last_reg_set_info (insn, regno);
continue;
}
#endif
if (GET_RTX_CLASS (GET_CODE (insn)) != 'i')
continue;
if (GET_CODE (insn) == CALL_INSN)
{
for (regno = 0; regno < FIRST_PSEUDO_REGISTER; regno++)
if (call_used_regs[regno])
record_last_reg_set_info (insn, regno);
if (! CONST_CALL_P (insn))
record_last_mem_set_info (insn);
}
last_set_insn = insn;
note_stores (PATTERN (insn), record_last_set_info);
}
/* The next pass builds the hash table. */
for (insn = basic_block_head[bb], in_libcall_block = 0;
insn && insn != NEXT_INSN (basic_block_end[bb]);
insn = NEXT_INSN (insn))
{
if (GET_RTX_CLASS (GET_CODE (insn)) == 'i')
{
if (find_reg_note (insn, REG_LIBCALL, NULL_RTX))
in_libcall_block = 1;
else if (find_reg_note (insn, REG_RETVAL, NULL_RTX))
in_libcall_block = 0;
hash_scan_insn (insn, set_p, in_libcall_block);
}
}
}
free (reg_first_set);
free (reg_last_set);
/* Catch bugs early. */
reg_first_set = reg_last_set = 0;
}
/* Allocate space for the set hash table.
N_INSNS is the number of instructions in the function.
It is used to determine the number of buckets to use. */
static void
alloc_set_hash_table (n_insns)
int n_insns;
{
int n;
set_hash_table_size = n_insns / 4;
if (set_hash_table_size < 11)
set_hash_table_size = 11;
/* Attempt to maintain efficient use of hash table.
Making it an odd number is simplest for now.
??? Later take some measurements. */
set_hash_table_size |= 1;
n = set_hash_table_size * sizeof (struct expr *);
set_hash_table = (struct expr **) gmalloc (n);
}
/* Free things allocated by alloc_set_hash_table. */
static void
free_set_hash_table ()
{
free (set_hash_table);
}
/* Compute the hash table for doing copy/const propagation. */
static void
compute_set_hash_table (f)
rtx f;
{
/* Initialize count of number of entries in hash table. */
n_sets = 0;
bzero ((char *) set_hash_table, set_hash_table_size * sizeof (struct expr *));
compute_hash_table (f, 1);
}
/* Allocate space for the expression hash table.
N_INSNS is the number of instructions in the function.
It is used to determine the number of buckets to use. */
static void
alloc_expr_hash_table (n_insns)
int n_insns;
{
int n;
expr_hash_table_size = n_insns / 2;
/* Make sure the amount is usable. */
if (expr_hash_table_size < 11)
expr_hash_table_size = 11;
/* Attempt to maintain efficient use of hash table.
Making it an odd number is simplest for now.
??? Later take some measurements. */
expr_hash_table_size |= 1;
n = expr_hash_table_size * sizeof (struct expr *);
expr_hash_table = (struct expr **) gmalloc (n);
}
/* Free things allocated by alloc_expr_hash_table. */
static void
free_expr_hash_table ()
{
free (expr_hash_table);
}
/* Compute the hash table for doing GCSE. */
static void
compute_expr_hash_table (f)
rtx f;
{
/* Initialize count of number of entries in hash table. */
n_exprs = 0;
bzero ((char *) expr_hash_table, expr_hash_table_size * sizeof (struct expr *));
compute_hash_table (f, 0);
}
/* Expression tracking support. */
/* Lookup pattern PAT in the expression table.
The result is a pointer to the table entry, or NULL if not found. */
static struct expr *
lookup_expr (pat)
rtx pat;
{
int do_not_record_p;
unsigned int hash = hash_expr (pat, GET_MODE (pat), &do_not_record_p,
expr_hash_table_size);
struct expr *expr;
if (do_not_record_p)
return NULL;
expr = expr_hash_table[hash];
while (expr && ! expr_equiv_p (expr->expr, pat))
expr = expr->next_same_hash;
return expr;
}
/* Lookup REGNO in the set table.
If PAT is non-NULL look for the entry that matches it, otherwise return
the first entry for REGNO.
The result is a pointer to the table entry, or NULL if not found. */
static struct expr *
lookup_set (regno, pat)
int regno;
rtx pat;
{
unsigned int hash = hash_set (regno, set_hash_table_size);
struct expr *expr;
expr = set_hash_table[hash];
if (pat)
{
while (expr && ! expr_equiv_p (expr->expr, pat))
expr = expr->next_same_hash;
}
else
{
while (expr && REGNO (SET_DEST (expr->expr)) != regno)
expr = expr->next_same_hash;
}
return expr;
}
/* Return the next entry for REGNO in list EXPR. */
static struct expr *
next_set (regno, expr)
int regno;
struct expr *expr;
{
do
expr = expr->next_same_hash;
while (expr && REGNO (SET_DEST (expr->expr)) != regno);
return expr;
}
/* Reset tables used to keep track of what's still available [since the
start of the block]. */
static void
reset_opr_set_tables ()
{
/* Maintain a bitmap of which regs have been set since beginning of
the block. */
sbitmap_zero (reg_set_bitmap);
/* Also keep a record of the last instruction to modify memory.
For now this is very trivial, we only record whether any memory
location has been modified. */
mem_last_set = 0;
}
/* Return non-zero if the operands of X are not set before INSN in
INSN's basic block. */
static int
oprs_not_set_p (x, insn)
rtx x, insn;
{
int i;
enum rtx_code code;
char *fmt;
/* repeat is used to turn tail-recursion into iteration. */
repeat:
if (x == 0)
return 1;
code = GET_CODE (x);
switch (code)
{
case PC:
case CC0:
case CONST:
case CONST_INT:
case CONST_DOUBLE:
case SYMBOL_REF:
case LABEL_REF:
case ADDR_VEC:
case ADDR_DIFF_VEC:
return 1;
case MEM:
if (mem_last_set != 0)
return 0;
x = XEXP (x, 0);
goto repeat;
case REG:
return ! TEST_BIT (reg_set_bitmap, REGNO (x));
default:
break;
}
fmt = GET_RTX_FORMAT (code);
for (i = GET_RTX_LENGTH (code) - 1; i >= 0; i--)
{
if (fmt[i] == 'e')
{
int not_set_p;
/* If we are about to do the last recursive call
needed at this level, change it into iteration.
This function is called enough to be worth it. */
if (i == 0)
{
x = XEXP (x, 0);
goto repeat;
}
not_set_p = oprs_not_set_p (XEXP (x, i), insn);
if (! not_set_p)
return 0;
}
else if (fmt[i] == 'E')
{
int j;
for (j = 0; j < XVECLEN (x, i); j++)
{
int not_set_p = oprs_not_set_p (XVECEXP (x, i, j), insn);
if (! not_set_p)
return 0;
}
}
}
return 1;
}
/* Mark things set by a CALL. */
static void
mark_call (pat, insn)
rtx pat ATTRIBUTE_UNUSED, insn;
{
mem_last_set = INSN_CUID (insn);
}
/* Mark things set by a SET. */
static void
mark_set (pat, insn)
rtx pat, insn;
{
rtx dest = SET_DEST (pat);
while (GET_CODE (dest) == SUBREG
|| GET_CODE (dest) == ZERO_EXTRACT
|| GET_CODE (dest) == SIGN_EXTRACT
|| GET_CODE (dest) == STRICT_LOW_PART)
dest = XEXP (dest, 0);
if (GET_CODE (dest) == REG)
SET_BIT (reg_set_bitmap, REGNO (dest));
else if (GET_CODE (dest) == MEM)
mem_last_set = INSN_CUID (insn);
if (GET_CODE (SET_SRC (pat)) == CALL)
mark_call (SET_SRC (pat), insn);
}
/* Record things set by a CLOBBER. */
static void
mark_clobber (pat, insn)
rtx pat, insn;
{
rtx clob = XEXP (pat, 0);
while (GET_CODE (clob) == SUBREG || GET_CODE (clob) == STRICT_LOW_PART)
clob = XEXP (clob, 0);
if (GET_CODE (clob) == REG)
SET_BIT (reg_set_bitmap, REGNO (clob));
else
mem_last_set = INSN_CUID (insn);
}
/* Record things set by INSN.
This data is used by oprs_not_set_p. */
static void
mark_oprs_set (insn)
rtx insn;
{
rtx pat = PATTERN (insn);
if (GET_CODE (pat) == SET)
mark_set (pat, insn);
else if (GET_CODE (pat) == PARALLEL)
{
int i;
for (i = 0; i < XVECLEN (pat, 0); i++)
{
rtx x = XVECEXP (pat, 0, i);
if (GET_CODE (x) == SET)
mark_set (x, insn);
else if (GET_CODE (x) == CLOBBER)
mark_clobber (x, insn);
else if (GET_CODE (x) == CALL)
mark_call (x, insn);
}
}
else if (GET_CODE (pat) == CLOBBER)
mark_clobber (pat, insn);
else if (GET_CODE (pat) == CALL)
mark_call (pat, insn);
}
/* Classic GCSE reaching definition support. */
/* Allocate reaching def variables. */
static void
alloc_rd_mem (n_blocks, n_insns)
int n_blocks, n_insns;
{
rd_kill = (sbitmap *) sbitmap_vector_alloc (n_blocks, n_insns);
sbitmap_vector_zero (rd_kill, n_basic_blocks);
rd_gen = (sbitmap *) sbitmap_vector_alloc (n_blocks, n_insns);
sbitmap_vector_zero (rd_gen, n_basic_blocks);
reaching_defs = (sbitmap *) sbitmap_vector_alloc (n_blocks, n_insns);
sbitmap_vector_zero (reaching_defs, n_basic_blocks);
rd_out = (sbitmap *) sbitmap_vector_alloc (n_blocks, n_insns);
sbitmap_vector_zero (rd_out, n_basic_blocks);
}
/* Free reaching def variables. */
static void
free_rd_mem ()
{
free (rd_kill);
free (rd_gen);
free (reaching_defs);
free (rd_out);
}
/* Add INSN to the kills of BB.
REGNO, set in BB, is killed by INSN. */
static void
handle_rd_kill_set (insn, regno, bb)
rtx insn;
int regno, bb;
{
struct reg_set *this_reg = reg_set_table[regno];
while (this_reg)
{
if (BLOCK_NUM (this_reg->insn) != BLOCK_NUM (insn))
SET_BIT (rd_kill[bb], INSN_CUID (this_reg->insn));
this_reg = this_reg->next;
}
}
void
dump_rd_table (file, title, bmap)
FILE *file;
char *title;
sbitmap *bmap;
{
int bb,cuid,i,j,n;
fprintf (file, "%s\n", title);
for (bb = 0; bb < n_basic_blocks; bb++)
{
fprintf (file, "BB %d\n", bb);
dump_sbitmap (file, bmap[bb]);
for (i = n = cuid = 0; i < bmap[bb]->size; i++)
{
for (j = 0; j < SBITMAP_ELT_BITS; j++, cuid++)
{
if ((bmap[bb]->elms[i] & (1 << j)) != 0)
{
if (n % 10 == 0)
fprintf (file, " ");
fprintf (file, " %d", INSN_UID (CUID_INSN (cuid)));
n++;
}
}
}
if (n != 0)
fprintf (file, "\n");
}
fprintf (file, "\n");
}
/* Compute the set of kill's for reaching definitions. */
static void
compute_kill_rd ()
{
int bb,cuid;
/* For each block
For each set bit in `gen' of the block (i.e each insn which
generates a definition in the block)
Call the reg set by the insn corresponding to that bit regx
Look at the linked list starting at reg_set_table[regx]
For each setting of regx in the linked list, which is not in
this block
Set the bit in `kill' corresponding to that insn
*/
for (bb = 0; bb < n_basic_blocks; bb++)
{
for (cuid = 0; cuid < max_cuid; cuid++)
{
if (TEST_BIT (rd_gen[bb], cuid))
{
rtx insn = CUID_INSN (cuid);
rtx pat = PATTERN (insn);
if (GET_CODE (insn) == CALL_INSN)
{
int regno;
for (regno = 0; regno < FIRST_PSEUDO_REGISTER; regno++)
{
if (call_used_regs[regno])
handle_rd_kill_set (insn, regno, bb);
}
}
if (GET_CODE (pat) == PARALLEL)
{
int i;
/* We work backwards because ... */
for (i = XVECLEN (pat, 0) - 1; i >= 0; i--)
{
enum rtx_code code = GET_CODE (XVECEXP (pat, 0, i));
if ((code == SET || code == CLOBBER)
&& GET_CODE (XEXP (XVECEXP (pat, 0, i), 0)) == REG)
handle_rd_kill_set (insn,
REGNO (XEXP (XVECEXP (pat, 0, i), 0)),
bb);
}
}
else if (GET_CODE (pat) == SET)
{
if (GET_CODE (SET_DEST (pat)) == REG)
{
/* Each setting of this register outside of this block
must be marked in the set of kills in this block. */
handle_rd_kill_set (insn, REGNO (SET_DEST (pat)), bb);
}
}
/* FIXME: CLOBBER? */
}
}
}
}
/* Compute the reaching definitions as in
Compilers Principles, Techniques, and Tools. Aho, Sethi, Ullman,
Chapter 10. It is the same algorithm as used for computing available
expressions but applied to the gens and kills of reaching definitions. */
static void
compute_rd ()
{
int bb, changed, passes;
for (bb = 0; bb < n_basic_blocks; bb++)
sbitmap_copy (rd_out[bb] /*dst*/, rd_gen[bb] /*src*/);
passes = 0;
changed = 1;
while (changed)
{
changed = 0;
for (bb = 0; bb < n_basic_blocks; bb++)
{
sbitmap_union_of_predecessors (reaching_defs[bb], rd_out,
bb, s_preds);
changed |= sbitmap_union_of_diff (rd_out[bb], rd_gen[bb],
reaching_defs[bb], rd_kill[bb]);
}
passes++;
}
if (gcse_file)
fprintf (gcse_file, "reaching def computation: %d passes\n", passes);
}
/* Classic GCSE available expression support. */
/* Allocate memory for available expression computation. */
static void
alloc_avail_expr_mem (n_blocks, n_exprs)
int n_blocks, n_exprs;
{
ae_kill = (sbitmap *) sbitmap_vector_alloc (n_blocks, n_exprs);
sbitmap_vector_zero (ae_kill, n_basic_blocks);
ae_gen = (sbitmap *) sbitmap_vector_alloc (n_blocks, n_exprs);
sbitmap_vector_zero (ae_gen, n_basic_blocks);
ae_in = (sbitmap *) sbitmap_vector_alloc (n_blocks, n_exprs);
sbitmap_vector_zero (ae_in, n_basic_blocks);
ae_out = (sbitmap *) sbitmap_vector_alloc (n_blocks, n_exprs);
sbitmap_vector_zero (ae_out, n_basic_blocks);
u_bitmap = (sbitmap) sbitmap_alloc (n_exprs);
sbitmap_ones (u_bitmap);
}
static void
free_avail_expr_mem ()
{
free (ae_kill);
free (ae_gen);
free (ae_in);
free (ae_out);
free (u_bitmap);
}
/* Compute the set of available expressions generated in each basic block. */
static void
compute_ae_gen ()
{
int i;
/* For each recorded occurrence of each expression, set ae_gen[bb][expr].
This is all we have to do because an expression is not recorded if it
is not available, and the only expressions we want to work with are the
ones that are recorded. */
for (i = 0; i < expr_hash_table_size; i++)
{
struct expr *expr = expr_hash_table[i];
while (expr != NULL)
{
struct occr *occr = expr->avail_occr;
while (occr != NULL)
{
SET_BIT (ae_gen[BLOCK_NUM (occr->insn)], expr->bitmap_index);
occr = occr->next;
}
expr = expr->next_same_hash;
}
}
}
/* Return non-zero if expression X is killed in BB. */
static int
expr_killed_p (x, bb)
rtx x;
int bb;
{
int i;
enum rtx_code code;
char *fmt;
/* repeat is used to turn tail-recursion into iteration. */
repeat:
if (x == 0)
return 1;
code = GET_CODE (x);
switch (code)
{
case REG:
return TEST_BIT (reg_set_in_block[bb], REGNO (x));
case MEM:
if (mem_set_in_block[bb])
return 1;
x = XEXP (x, 0);
goto repeat;
case PC:
case CC0: /*FIXME*/
case CONST:
case CONST_INT:
case CONST_DOUBLE:
case SYMBOL_REF:
case LABEL_REF:
case ADDR_VEC:
case ADDR_DIFF_VEC:
return 0;
default:
break;
}
i = GET_RTX_LENGTH (code) - 1;
fmt = GET_RTX_FORMAT (code);
for (; i >= 0; i--)
{
if (fmt[i] == 'e')
{
rtx tem = XEXP (x, i);
/* If we are about to do the last recursive call
needed at this level, change it into iteration.
This function is called enough to be worth it. */
if (i == 0)
{
x = tem;
goto repeat;
}
if (expr_killed_p (tem, bb))
return 1;
}
else if (fmt[i] == 'E')
{
int j;
for (j = 0; j < XVECLEN (x, i); j++)
{
if (expr_killed_p (XVECEXP (x, i, j), bb))
return 1;
}
}
}
return 0;
}
/* Compute the set of available expressions killed in each basic block. */
static void
compute_ae_kill ()
{
int bb,i;
for (bb = 0; bb < n_basic_blocks; bb++)
{
for (i = 0; i < expr_hash_table_size; i++)
{
struct expr *expr = expr_hash_table[i];
for ( ; expr != NULL; expr = expr->next_same_hash)
{
/* Skip EXPR if generated in this block. */
if (TEST_BIT (ae_gen[bb], expr->bitmap_index))
continue;
if (expr_killed_p (expr->expr, bb))
SET_BIT (ae_kill[bb], expr->bitmap_index);
}
}
}
}
/* Compute available expressions.
Implement the algorithm to find available expressions
as given in the Aho Sethi Ullman book, pages 627-631. */
static void
compute_available ()
{
int bb, changed, passes;
sbitmap_zero (ae_in[0]);
sbitmap_copy (ae_out[0] /*dst*/, ae_gen[0] /*src*/);
for (bb = 1; bb < n_basic_blocks; bb++)
sbitmap_difference (ae_out[bb], u_bitmap, ae_kill[bb]);
passes = 0;
changed = 1;
while (changed)
{
changed = 0;
for (bb = 1; bb < n_basic_blocks; bb++)
{
sbitmap_intersect_of_predecessors (ae_in[bb], ae_out,
bb, s_preds);
changed |= sbitmap_union_of_diff (ae_out[bb], ae_gen[bb],
ae_in[bb], ae_kill[bb]);
}
passes++;
}
if (gcse_file)
fprintf (gcse_file, "avail expr computation: %d passes\n", passes);
}
/* Actually perform the Classic GCSE optimizations. */
/* Return non-zero if occurrence OCCR of expression EXPR reaches block BB.
CHECK_SELF_LOOP is non-zero if we should consider a block reaching itself
as a positive reach. We want to do this when there are two computations
of the expression in the block.
VISITED is a pointer to a working buffer for tracking which BB's have
been visited. It is NULL for the top-level call.
We treat reaching expressions that go through blocks containing the same
reaching expression as "not reaching". E.g. if EXPR is generated in blocks
2 and 3, INSN is in block 4, and 2->3->4, we treat the expression in block
2 as not reaching. The intent is to improve the probability of finding
only one reaching expression and to reduce register lifetimes by picking
the closest such expression. */
static int
expr_reaches_here_p (occr, expr, bb, check_self_loop, visited)
struct occr *occr;
struct expr *expr;
int bb;
int check_self_loop;
char *visited;
{
int_list_ptr pred;
if (visited == NULL)
{
visited = (char *) alloca (n_basic_blocks);
bzero (visited, n_basic_blocks);
}
for (pred = s_preds[bb]; pred != NULL; pred = pred->next)
{
int pred_bb = INT_LIST_VAL (pred);
if (visited[pred_bb])
{
/* This predecessor has already been visited.
Nothing to do. */
;
}
else if (pred_bb == bb)
{
/* BB loops on itself. */
if (check_self_loop
&& TEST_BIT (ae_gen[pred_bb], expr->bitmap_index)
&& BLOCK_NUM (occr->insn) == pred_bb)
return 1;
visited[pred_bb] = 1;
}
/* Ignore this predecessor if it kills the expression. */
else if (TEST_BIT (ae_kill[pred_bb], expr->bitmap_index))
visited[pred_bb] = 1;
/* Does this predecessor generate this expression? */
else if (TEST_BIT (ae_gen[pred_bb], expr->bitmap_index))
{
/* Is this the occurrence we're looking for?
Note that there's only one generating occurrence per block
so we just need to check the block number. */
if (BLOCK_NUM (occr->insn) == pred_bb)
return 1;
visited[pred_bb] = 1;
}
/* Neither gen nor kill. */
else
{
visited[pred_bb] = 1;
if (expr_reaches_here_p (occr, expr, pred_bb, check_self_loop, visited))
return 1;
}
}
/* All paths have been checked. */
return 0;
}
/* Return the instruction that computes EXPR that reaches INSN's basic block.
If there is more than one such instruction, return NULL.
Called only by handle_avail_expr. */
static rtx
computing_insn (expr, insn)
struct expr *expr;
rtx insn;
{
int bb = BLOCK_NUM (insn);
if (expr->avail_occr->next == NULL)
{
if (BLOCK_NUM (expr->avail_occr->insn) == bb)
{
/* The available expression is actually itself
(i.e. a loop in the flow graph) so do nothing. */
return NULL;
}
/* (FIXME) Case that we found a pattern that was created by
a substitution that took place. */
return expr->avail_occr->insn;
}
else
{
/* Pattern is computed more than once.
Search backwards from this insn to see how many of these
computations actually reach this insn. */
struct occr *occr;
rtx insn_computes_expr = NULL;
int can_reach = 0;
for (occr = expr->avail_occr; occr != NULL; occr = occr->next)
{
if (BLOCK_NUM (occr->insn) == bb)
{
/* The expression is generated in this block.
The only time we care about this is when the expression
is generated later in the block [and thus there's a loop].
We let the normal cse pass handle the other cases. */
if (INSN_CUID (insn) < INSN_CUID (occr->insn))
{
if (expr_reaches_here_p (occr, expr, bb, 1, NULL))
{
can_reach++;
if (can_reach > 1)
return NULL;
insn_computes_expr = occr->insn;
}
}
}
else /* Computation of the pattern outside this block. */
{
if (expr_reaches_here_p (occr, expr, bb, 0, NULL))
{
can_reach++;
if (can_reach > 1)
return NULL;
insn_computes_expr = occr->insn;
}
}
}
if (insn_computes_expr == NULL)
abort ();
return insn_computes_expr;
}
}
/* Return non-zero if the definition in DEF_INSN can reach INSN.
Only called by can_disregard_other_sets. */
static int
def_reaches_here_p (insn, def_insn)
rtx insn, def_insn;
{
rtx reg;
if (TEST_BIT (reaching_defs[BLOCK_NUM (insn)], INSN_CUID (def_insn)))
return 1;
if (BLOCK_NUM (insn) == BLOCK_NUM (def_insn))
{
if (INSN_CUID (def_insn) < INSN_CUID (insn))
{
if (GET_CODE (PATTERN (def_insn)) == PARALLEL)
return 1;
if (GET_CODE (PATTERN (def_insn)) == CLOBBER)
reg = XEXP (PATTERN (def_insn), 0);
else if (GET_CODE (PATTERN (def_insn)) == SET)
reg = SET_DEST (PATTERN (def_insn));
else
abort ();
return ! reg_set_between_p (reg, NEXT_INSN (def_insn), insn);
}
else
return 0;
}
return 0;
}
/* Return non-zero if *ADDR_THIS_REG can only have one value at INSN.
The value returned is the number of definitions that reach INSN.
Returning a value of zero means that [maybe] more than one definition
reaches INSN and the caller can't perform whatever optimization it is
trying. i.e. it is always safe to return zero. */
static int
can_disregard_other_sets (addr_this_reg, insn, for_combine)
struct reg_set **addr_this_reg;
rtx insn;
int for_combine;
{
int number_of_reaching_defs = 0;
struct reg_set *this_reg = *addr_this_reg;
while (this_reg)
{
if (def_reaches_here_p (insn, this_reg->insn))
{
number_of_reaching_defs++;
/* Ignore parallels for now. */
if (GET_CODE (PATTERN (this_reg->insn)) == PARALLEL)
return 0;
if (!for_combine
&& (GET_CODE (PATTERN (this_reg->insn)) == CLOBBER
|| ! rtx_equal_p (SET_SRC (PATTERN (this_reg->insn)),
SET_SRC (PATTERN (insn)))))
{
/* A setting of the reg to a different value reaches INSN. */
return 0;
}
if (number_of_reaching_defs > 1)
{
/* If in this setting the value the register is being
set to is equal to the previous value the register
was set to and this setting reaches the insn we are
trying to do the substitution on then we are ok. */
if (GET_CODE (PATTERN (this_reg->insn)) == CLOBBER)
return 0;
if (! rtx_equal_p (SET_SRC (PATTERN (this_reg->insn)),
SET_SRC (PATTERN (insn))))
return 0;
}
*addr_this_reg = this_reg;
}
/* prev_this_reg = this_reg; */
this_reg = this_reg->next;
}
return number_of_reaching_defs;
}
/* Expression computed by insn is available and the substitution is legal,
so try to perform the substitution.
The result is non-zero if any changes were made. */
static int
handle_avail_expr (insn, expr)
rtx insn;
struct expr *expr;
{
rtx pat, insn_computes_expr;
rtx to;
struct reg_set *this_reg;
int found_setting, use_src;
int changed = 0;
/* We only handle the case where one computation of the expression
reaches this instruction. */
insn_computes_expr = computing_insn (expr, insn);
if (insn_computes_expr == NULL)
return 0;
found_setting = 0;
use_src = 0;
/* At this point we know only one computation of EXPR outside of this
block reaches this insn. Now try to find a register that the
expression is computed into. */
if (GET_CODE (SET_SRC (PATTERN (insn_computes_expr))) == REG)
{
/* This is the case when the available expression that reaches
here has already been handled as an available expression. */
int regnum_for_replacing = REGNO (SET_SRC (PATTERN (insn_computes_expr)));
/* If the register was created by GCSE we can't use `reg_set_table',
however we know it's set only once. */
if (regnum_for_replacing >= max_gcse_regno
/* If the register the expression is computed into is set only once,
or only one set reaches this insn, we can use it. */
|| (((this_reg = reg_set_table[regnum_for_replacing]),
this_reg->next == NULL)
|| can_disregard_other_sets (&this_reg, insn, 0)))
{
use_src = 1;
found_setting = 1;
}
}
if (!found_setting)
{
int regnum_for_replacing = REGNO (SET_DEST (PATTERN (insn_computes_expr)));
/* This shouldn't happen. */
if (regnum_for_replacing >= max_gcse_regno)
abort ();
this_reg = reg_set_table[regnum_for_replacing];
/* If the register the expression is computed into is set only once,
or only one set reaches this insn, use it. */
if (this_reg->next == NULL
|| can_disregard_other_sets (&this_reg, insn, 0))
found_setting = 1;
}
if (found_setting)
{
pat = PATTERN (insn);
if (use_src)
to = SET_SRC (PATTERN (insn_computes_expr));
else
to = SET_DEST (PATTERN (insn_computes_expr));
changed = validate_change (insn, &SET_SRC (pat), to, 0);
/* We should be able to ignore the return code from validate_change but
to play it safe we check. */
if (changed)
{
gcse_subst_count++;
if (gcse_file != NULL)
{
fprintf (gcse_file, "GCSE: Replacing the source in insn %d with reg %d %s insn %d\n",
INSN_UID (insn), REGNO (to),
use_src ? "from" : "set in",
INSN_UID (insn_computes_expr));
}
}
}
/* The register that the expr is computed into is set more than once. */
else if (1 /*expensive_op(this_pattrn->op) && do_expensive_gcse)*/)
{
/* Insert an insn after insnx that copies the reg set in insnx
into a new pseudo register call this new register REGN.
From insnb until end of basic block or until REGB is set
replace all uses of REGB with REGN. */
rtx new_insn;
to = gen_reg_rtx (GET_MODE (SET_DEST (PATTERN (insn_computes_expr))));
/* Generate the new insn. */
/* ??? If the change fails, we return 0, even though we created
an insn. I think this is ok. */
new_insn
= emit_insn_after (gen_rtx_SET (VOIDmode, to,
SET_DEST (PATTERN (insn_computes_expr))),
insn_computes_expr);
/* Keep block number table up to date. */
set_block_num (new_insn, BLOCK_NUM (insn_computes_expr));
/* Keep register set table up to date. */
record_one_set (REGNO (to), new_insn);
gcse_create_count++;
if (gcse_file != NULL)
{
fprintf (gcse_file, "GCSE: Creating insn %d to copy value of reg %d, computed in insn %d,\n",
INSN_UID (NEXT_INSN (insn_computes_expr)),
REGNO (SET_SRC (PATTERN (NEXT_INSN (insn_computes_expr)))),
INSN_UID (insn_computes_expr));
fprintf (gcse_file, " into newly allocated reg %d\n", REGNO (to));
}
pat = PATTERN (insn);
/* Do register replacement for INSN. */
changed = validate_change (insn, &SET_SRC (pat),
SET_DEST (PATTERN (NEXT_INSN (insn_computes_expr))),
0);
/* We should be able to ignore the return code from validate_change but
to play it safe we check. */
if (changed)
{
gcse_subst_count++;
if (gcse_file != NULL)
{
fprintf (gcse_file, "GCSE: Replacing the source in insn %d with reg %d set in insn %d\n",
INSN_UID (insn),
REGNO (SET_DEST (PATTERN (NEXT_INSN (insn_computes_expr)))),
INSN_UID (insn_computes_expr));
}
}
}
return changed;
}
/* Perform classic GCSE.
This is called by one_classic_gcse_pass after all the dataflow analysis
has been done.
The result is non-zero if a change was made. */
static int
classic_gcse ()
{
int bb, changed;
rtx insn;
/* Note we start at block 1. */
changed = 0;
for (bb = 1; bb < n_basic_blocks; bb++)
{
/* Reset tables used to keep track of what's still valid [since the
start of the block]. */
reset_opr_set_tables ();
for (insn = basic_block_head[bb];
insn != NULL && insn != NEXT_INSN (basic_block_end[bb]);
insn = NEXT_INSN (insn))
{
/* Is insn of form (set (pseudo-reg) ...)? */
if (GET_CODE (insn) == INSN
&& GET_CODE (PATTERN (insn)) == SET
&& GET_CODE (SET_DEST (PATTERN (insn))) == REG
&& REGNO (SET_DEST (PATTERN (insn))) >= FIRST_PSEUDO_REGISTER)
{
rtx pat = PATTERN (insn);
rtx src = SET_SRC (pat);
struct expr *expr;
if (want_to_gcse_p (src)
/* Is the expression recorded? */
&& ((expr = lookup_expr (src)) != NULL)
/* Is the expression available [at the start of the
block]? */
&& TEST_BIT (ae_in[bb], expr->bitmap_index)
/* Are the operands unchanged since the start of the
block? */
&& oprs_not_set_p (src, insn))
changed |= handle_avail_expr (insn, expr);
}
/* Keep track of everything modified by this insn. */
/* ??? Need to be careful w.r.t. mods done to INSN. */
if (GET_RTX_CLASS (GET_CODE (insn)) == 'i')
mark_oprs_set (insn);
}
}
return changed;
}
/* Top level routine to perform one classic GCSE pass.
Return non-zero if a change was made. */
static int
one_classic_gcse_pass (f, pass)
rtx f;
int pass;
{
int changed = 0;
gcse_subst_count = 0;
gcse_create_count = 0;
alloc_expr_hash_table (max_cuid);
alloc_rd_mem (n_basic_blocks, max_cuid);
compute_expr_hash_table (f);
if (gcse_file)
dump_hash_table (gcse_file, "Expression", expr_hash_table,
expr_hash_table_size, n_exprs);
if (n_exprs > 0)
{
compute_kill_rd ();
compute_rd ();
alloc_avail_expr_mem (n_basic_blocks, n_exprs);
compute_ae_gen ();
compute_ae_kill ();
compute_available ();
changed = classic_gcse ();
free_avail_expr_mem ();
}
free_rd_mem ();
free_expr_hash_table ();
if (gcse_file)
{
fprintf (gcse_file, "\n");
fprintf (gcse_file, "GCSE of %s, pass %d: %d bytes needed, %d substs, %d insns created\n",
current_function_name, pass,
bytes_used, gcse_subst_count, gcse_create_count);
}
return changed;
}
/* Compute copy/constant propagation working variables. */
/* Local properties of assignments. */
static sbitmap *cprop_pavloc;
static sbitmap *cprop_absaltered;
/* Global properties of assignments (computed from the local properties). */
static sbitmap *cprop_avin;
static sbitmap *cprop_avout;
/* Allocate vars used for copy/const propagation.
N_BLOCKS is the number of basic blocks.
N_SETS is the number of sets. */
static void
alloc_cprop_mem (n_blocks, n_sets)
int n_blocks, n_sets;
{
cprop_pavloc = sbitmap_vector_alloc (n_blocks, n_sets);
cprop_absaltered = sbitmap_vector_alloc (n_blocks, n_sets);
cprop_avin = sbitmap_vector_alloc (n_blocks, n_sets);
cprop_avout = sbitmap_vector_alloc (n_blocks, n_sets);
}
/* Free vars used by copy/const propagation. */
static void
free_cprop_mem ()
{
free (cprop_pavloc);
free (cprop_absaltered);
free (cprop_avin);
free (cprop_avout);
}
/* Dump copy/const propagation data. */
void
dump_cprop_data (file)
FILE *file;
{
dump_sbitmap_vector (file, "CPROP partially locally available sets", "BB",
cprop_pavloc, n_basic_blocks);
dump_sbitmap_vector (file, "CPROP absolutely altered sets", "BB",
cprop_absaltered, n_basic_blocks);
dump_sbitmap_vector (file, "CPROP available incoming sets", "BB",
cprop_avin, n_basic_blocks);
dump_sbitmap_vector (file, "CPROP available outgoing sets", "BB",
cprop_avout, n_basic_blocks);
}
/* For each block, compute whether X is transparent.
X is either an expression or an assignment [though we don't care which,
for this context an assignment is treated as an expression].
For each block where an element of X is modified, set (SET_P == 1) or reset
(SET_P == 0) the INDX bit in BMAP. */
static void
compute_transp (x, indx, bmap, set_p)
rtx x;
int indx;
sbitmap *bmap;
int set_p;
{
int bb,i;
enum rtx_code code;
char *fmt;
/* repeat is used to turn tail-recursion into iteration. */
repeat:
if (x == 0)
return;
code = GET_CODE (x);
switch (code)
{
case REG:
{
reg_set *r;
int regno = REGNO (x);
if (set_p)
{
if (regno < FIRST_PSEUDO_REGISTER)
{
for (bb = 0; bb < n_basic_blocks; bb++)
if (TEST_BIT (reg_set_in_block[bb], regno))
SET_BIT (bmap[bb], indx);
}
else
{
for (r = reg_set_table[regno]; r != NULL; r = r->next)
{
bb = BLOCK_NUM (r->insn);
SET_BIT (bmap[bb], indx);
}
}
}
else
{
if (regno < FIRST_PSEUDO_REGISTER)
{
for (bb = 0; bb < n_basic_blocks; bb++)
if (TEST_BIT (reg_set_in_block[bb], regno))
RESET_BIT (bmap[bb], indx);
}
else
{
for (r = reg_set_table[regno]; r != NULL; r = r->next)
{
bb = BLOCK_NUM (r->insn);
RESET_BIT (bmap[bb], indx);
}
}
}
return;
}
case MEM:
if (set_p)
{
for (bb = 0; bb < n_basic_blocks; bb++)
if (mem_set_in_block[bb])
SET_BIT (bmap[bb], indx);
}
else
{
for (bb = 0; bb < n_basic_blocks; bb++)
if (mem_set_in_block[bb])
RESET_BIT (bmap[bb], indx);
}
x = XEXP (x, 0);
goto repeat;
case PC:
case CC0: /*FIXME*/
case CONST:
case CONST_INT:
case CONST_DOUBLE:
case SYMBOL_REF:
case LABEL_REF:
case ADDR_VEC:
case ADDR_DIFF_VEC:
return;
default:
break;
}
i = GET_RTX_LENGTH (code) - 1;
fmt = GET_RTX_FORMAT (code);
for (; i >= 0; i--)
{
if (fmt[i] == 'e')
{
rtx tem = XEXP (x, i);
/* If we are about to do the last recursive call
needed at this level, change it into iteration.
This function is called enough to be worth it. */
if (i == 0)
{
x = tem;
goto repeat;
}
compute_transp (tem, indx, bmap, set_p);
}
else if (fmt[i] == 'E')
{
int j;
for (j = 0; j < XVECLEN (x, i); j++)
compute_transp (XVECEXP (x, i, j), indx, bmap, set_p);
}
}
}
static void
compute_cprop_local_properties ()
{
int i;
sbitmap_vector_zero (cprop_absaltered, n_basic_blocks);
sbitmap_vector_zero (cprop_pavloc, n_basic_blocks);
for (i = 0; i < set_hash_table_size; i++)
{
struct expr *expr;
for (expr = set_hash_table[i]; expr != NULL; expr = expr->next_same_hash)
{
struct occr *occr;
int indx = expr->bitmap_index;
/* The assignment is absolutely altered if any operand is modified
by this block [excluding the assignment itself].
We start by assuming all are transparent [none are killed], and
then setting the bits for those that are. */
compute_transp (expr->expr, indx, cprop_absaltered, 1);
/* The occurrences recorded in avail_occr are exactly those that
we want to set to non-zero in PAVLOC. */
for (occr = expr->avail_occr; occr != NULL; occr = occr->next)
{
int bb = BLOCK_NUM (occr->insn);
SET_BIT (cprop_pavloc[bb], indx);
}
}
}
}
static void
compute_cprop_avinout ()
{
int bb, changed, passes;
sbitmap_zero (cprop_avin[0]);
sbitmap_vector_ones (cprop_avout, n_basic_blocks);
passes = 0;
changed = 1;
while (changed)
{
changed = 0;
for (bb = 0; bb < n_basic_blocks; bb++)
{
if (bb != 0)
sbitmap_intersect_of_predecessors (cprop_avin[bb], cprop_avout,
bb, s_preds);
changed |= sbitmap_union_of_diff (cprop_avout[bb],
cprop_pavloc[bb],
cprop_avin[bb],
cprop_absaltered[bb]);
}
passes++;
}
if (gcse_file)
fprintf (gcse_file, "cprop avail expr computation: %d passes\n", passes);
}
/* Top level routine to do the dataflow analysis needed by copy/const
propagation. */
static void
compute_cprop_data ()
{
compute_cprop_local_properties ();
compute_cprop_avinout ();
}
/* Copy/constant propagation. */
struct reg_use {
rtx reg_rtx;
};
/* Maximum number of register uses in an insn that we handle. */
#define MAX_USES 8
/* Table of uses found in an insn.
Allocated statically to avoid alloc/free complexity and overhead. */
static struct reg_use reg_use_table[MAX_USES];
/* Index into `reg_use_table' while building it. */
static int reg_use_count;
/* Set up a list of register numbers used in INSN.
The found uses are stored in `reg_use_table'.
`reg_use_count' is initialized to zero before entry, and
contains the number of uses in the table upon exit.
??? If a register appears multiple times we will record it multiple
times. This doesn't hurt anything but it will slow things down. */
static void
find_used_regs (x)
rtx x;
{
int i;
enum rtx_code code;
char *fmt;
/* repeat is used to turn tail-recursion into iteration. */
repeat:
if (x == 0)
return;
code = GET_CODE (x);
switch (code)
{
case REG:
if (reg_use_count == MAX_USES)
return;
reg_use_table[reg_use_count].reg_rtx = x;
reg_use_count++;
return;
case MEM:
x = XEXP (x, 0);
goto repeat;
case PC:
case CC0:
case CONST:
case CONST_INT:
case CONST_DOUBLE:
case SYMBOL_REF:
case LABEL_REF:
case CLOBBER:
case ADDR_VEC:
case ADDR_DIFF_VEC:
case ASM_INPUT: /*FIXME*/
return;
case SET:
if (GET_CODE (SET_DEST (x)) == MEM)
find_used_regs (SET_DEST (x));
x = SET_SRC (x);
goto repeat;
default:
break;
}
/* Recursively scan the operands of this expression. */
fmt = GET_RTX_FORMAT (code);
for (i = GET_RTX_LENGTH (code) - 1; i >= 0; i--)
{
if (fmt[i] == 'e')
{
/* If we are about to do the last recursive call
needed at this level, change it into iteration.
This function is called enough to be worth it. */
if (i == 0)
{
x = XEXP (x, 0);
goto repeat;
}
find_used_regs (XEXP (x, i));
}
else if (fmt[i] == 'E')
{
int j;
for (j = 0; j < XVECLEN (x, i); j++)
find_used_regs (XVECEXP (x, i, j));
}
}
}
/* Try to replace all non-SET_DEST occurrences of FROM in INSN with TO.
Returns non-zero is successful. */
static int
try_replace_reg (from, to, insn)
rtx from, to, insn;
{
return validate_replace_src (from, to, insn);
}
/* Find a set of REGNO that is available on entry to INSN's block.
Returns NULL if not found. */
static struct expr *
find_avail_set (regno, insn)
int regno;
rtx insn;
{
struct expr *set = lookup_set (regno, NULL_RTX);
while (set)
{
if (TEST_BIT (cprop_avin[BLOCK_NUM (insn)], set->bitmap_index))
break;
set = next_set (regno, set);
}
return set;
}
/* Perform constant and copy propagation on INSN.
The result is non-zero if a change was made. */
static int
cprop_insn (insn)
rtx insn;
{
struct reg_use *reg_used;
int changed = 0;
/* ??? For now only propagate into SETs. */
if (GET_CODE (insn) != INSN
|| GET_CODE (PATTERN (insn)) != SET)
return 0;
reg_use_count = 0;
find_used_regs (PATTERN (insn));
reg_used = ®_use_table[0];
for ( ; reg_use_count > 0; reg_used++, reg_use_count--)
{
rtx pat, src;
struct expr *set;
int regno = REGNO (reg_used->reg_rtx);
/* Ignore registers created by GCSE.
We do this because ... */
if (regno >= max_gcse_regno)
continue;
/* If the register has already been set in this block, there's
nothing we can do. */
if (! oprs_not_set_p (reg_used->reg_rtx, insn))
continue;
/* Find an assignment that sets reg_used and is available
at the start of the block. */
set = find_avail_set (regno, insn);
if (! set)
continue;
pat = set->expr;
/* ??? We might be able to handle PARALLELs. Later. */
if (GET_CODE (pat) != SET)
abort ();
src = SET_SRC (pat);
if (GET_CODE (src) == CONST_INT)
{
if (try_replace_reg (reg_used->reg_rtx, src, insn))
{
changed = 1;
const_prop_count++;
if (gcse_file != NULL)
{
fprintf (gcse_file, "CONST-PROP: Replacing reg %d in insn %d with constant ",
regno, INSN_UID (insn));
fprintf (gcse_file, HOST_WIDE_INT_PRINT_DEC, INTVAL (src));
fprintf (gcse_file, "\n");
}
/* The original insn setting reg_used may or may not now be
deletable. We leave the deletion to flow. */
}
}
else if (GET_CODE (src) == REG
&& REGNO (src) >= FIRST_PSEUDO_REGISTER
&& REGNO (src) != regno)
{
/* We know the set is available.
Now check that SET_SRC is ANTLOC (i.e. none of the source operands
have changed since the start of the block). */
if (oprs_not_set_p (src, insn))
{
if (try_replace_reg (reg_used->reg_rtx, src, insn))
{
changed = 1;
copy_prop_count++;
if (gcse_file != NULL)
{
fprintf (gcse_file, "COPY-PROP: Replacing reg %d in insn %d with reg %d\n",
regno, INSN_UID (insn), REGNO (src));
}
/* The original insn setting reg_used may or may not now be
deletable. We leave the deletion to flow. */
/* FIXME: If it turns out that the insn isn't deletable,
then we may have unnecessarily extended register lifetimes
and made things worse. */
}
}
}
}
return changed;
}
/* Forward propagate copies.
This includes copies and constants.
Return non-zero if a change was made. */
static int
cprop ()
{
int bb, changed;
rtx insn;
/* Note we start at block 1. */
changed = 0;
for (bb = 1; bb < n_basic_blocks; bb++)
{
/* Reset tables used to keep track of what's still valid [since the
start of the block]. */
reset_opr_set_tables ();
for (insn = basic_block_head[bb];
insn != NULL && insn != NEXT_INSN (basic_block_end[bb]);
insn = NEXT_INSN (insn))
{
if (GET_RTX_CLASS (GET_CODE (insn)) == 'i')
{
changed |= cprop_insn (insn);
/* Keep track of everything modified by this insn. */
/* ??? Need to be careful w.r.t. mods done to INSN. */
mark_oprs_set (insn);
}
}
}
if (gcse_file != NULL)
fprintf (gcse_file, "\n");
return changed;
}
/* Perform one copy/constant propagation pass.
F is the first insn in the function.
PASS is the pass count. */
static int
one_cprop_pass (f, pass)
rtx f;
int pass;
{
int changed = 0;
const_prop_count = 0;
copy_prop_count = 0;
alloc_set_hash_table (max_cuid);
compute_set_hash_table (f);
if (gcse_file)
dump_hash_table (gcse_file, "SET", set_hash_table, set_hash_table_size,
n_sets);
if (n_sets > 0)
{
alloc_cprop_mem (n_basic_blocks, n_sets);
compute_cprop_data ();
changed = cprop ();
free_cprop_mem ();
}
free_set_hash_table ();
if (gcse_file)
{
fprintf (gcse_file, "CPROP of %s, pass %d: %d bytes needed, %d const props, %d copy props\n",
current_function_name, pass,
bytes_used, const_prop_count, copy_prop_count);
fprintf (gcse_file, "\n");
}
return changed;
}
/* Compute PRE working variables. */
/* Local properties of expressions. */
/* Nonzero for expressions that are transparent in the block. */
static sbitmap *pre_transp;
/* Nonzero for expressions that are computed (available) in the block. */
static sbitmap *pre_comp;
/* Nonzero for expressions that are locally anticipatable in the block. */
static sbitmap *pre_antloc;
/* Global properties (computed from the expression local properties). */
/* Nonzero for expressions that are available on block entry/exit. */
static sbitmap *pre_avin;
static sbitmap *pre_avout;
/* Nonzero for expressions that are anticipatable on block entry/exit. */
static sbitmap *pre_antin;
static sbitmap *pre_antout;
/* Nonzero for expressions that are partially available on block entry/exit. */
static sbitmap *pre_pavin;
static sbitmap *pre_pavout;
/* Nonzero for expressions that are "placement possible" on block entry/exit. */
static sbitmap *pre_ppin;
static sbitmap *pre_ppout;
/* Used while performing PRE to denote which insns are redundant. */
static sbitmap pre_redundant;
/* Allocate vars used for PRE analysis. */
static void
alloc_pre_mem (n_blocks, n_exprs)
int n_blocks, n_exprs;
{
pre_transp = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_comp = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_antloc = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_avin = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_avout = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_antin = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_antout = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_pavin = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_pavout = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_ppin = sbitmap_vector_alloc (n_blocks, n_exprs);
pre_ppout = sbitmap_vector_alloc (n_blocks, n_exprs);
}
/* Free vars used for PRE analysis. */
static void
free_pre_mem ()
{
free (pre_transp);
free (pre_comp);
free (pre_antloc);
free (pre_avin);
free (pre_avout);
free (pre_antin);
free (pre_antout);
free (pre_pavin);
free (pre_pavout);
free (pre_ppin);
free (pre_ppout);
}
/* Dump PRE data. */
void
dump_pre_data (file)
FILE *file;
{
dump_sbitmap_vector (file, "PRE locally transparent expressions", "BB",
pre_transp, n_basic_blocks);
dump_sbitmap_vector (file, "PRE locally available expressions", "BB",
pre_comp, n_basic_blocks);
dump_sbitmap_vector (file, "PRE locally anticipatable expressions", "BB",
pre_antloc, n_basic_blocks);
dump_sbitmap_vector (file, "PRE available incoming expressions", "BB",
pre_avin, n_basic_blocks);
dump_sbitmap_vector (file, "PRE available outgoing expressions", "BB",
pre_avout, n_basic_blocks);
dump_sbitmap_vector (file, "PRE anticipatable incoming expressions", "BB",
pre_antin, n_basic_blocks);
dump_sbitmap_vector (file, "PRE anticipatable outgoing expressions", "BB",
pre_antout, n_basic_blocks);
dump_sbitmap_vector (file, "PRE partially available incoming expressions", "BB",
pre_pavin, n_basic_blocks);
dump_sbitmap_vector (file, "PRE partially available outgoing expressions", "BB",
pre_pavout, n_basic_blocks);
dump_sbitmap_vector (file, "PRE placement possible on incoming", "BB",
pre_ppin, n_basic_blocks);
dump_sbitmap_vector (file, "PRE placement possible on outgoing", "BB",
pre_ppout, n_basic_blocks);
}
/* Compute the local properties of each recorded expression.
Local properties are those that are defined by the block, irrespective
of other blocks.
An expression is transparent in a block if its operands are not modified
in the block.
An expression is computed (locally available) in a block if it is computed
at least once and expression would contain the same value if the
computation was moved to the end of the block.
An expression is locally anticipatable in a block if it is computed at
least once and expression would contain the same value if the computation
was moved to the beginning of the block. */
static void
compute_pre_local_properties ()
{
int i;
sbitmap_vector_ones (pre_transp, n_basic_blocks);
sbitmap_vector_zero (pre_comp, n_basic_blocks);
sbitmap_vector_zero (pre_antloc, n_basic_blocks);
for (i = 0; i < expr_hash_table_size; i++)
{
struct expr *expr;
for (expr = expr_hash_table[i]; expr != NULL; expr = expr->next_same_hash)
{
struct occr *occr;
int indx = expr->bitmap_index;
/* The expression is transparent in this block if it is not killed.
We start by assuming all are transparent [none are killed], and then
reset the bits for those that are. */
compute_transp (expr->expr, indx, pre_transp, 0);
/* The occurrences recorded in antic_occr are exactly those that
we want to set to non-zero in ANTLOC. */
for (occr = expr->antic_occr; occr != NULL; occr = occr->next)
{
int bb = BLOCK_NUM (occr->insn);
SET_BIT (pre_antloc[bb], indx);
/* While we're scanning the table, this is a good place to
initialize this. */
occr->deleted_p = 0;
}
/* The occurrences recorded in avail_occr are exactly those that
we want to set to non-zero in COMP. */
for (occr = expr->avail_occr; occr != NULL; occr = occr->next)
{
int bb = BLOCK_NUM (occr->insn);
SET_BIT (pre_comp[bb], indx);
/* While we're scanning the table, this is a good place to
initialize this. */
occr->copied_p = 0;
}
/* While we're scanning the table, this is a good place to
initialize this. */
expr->reaching_reg = 0;
}
}
}
/* Compute expression availability at entrance and exit of each block. */
static void
compute_pre_avinout ()
{
int bb, changed, passes;
sbitmap_zero (pre_avin[0]);
sbitmap_vector_ones (pre_avout, n_basic_blocks);
passes = 0;
changed = 1;
while (changed)
{
changed = 0;
for (bb = 0; bb < n_basic_blocks; bb++)
{
if (bb != 0)
sbitmap_intersect_of_predecessors (pre_avin[bb], pre_avout,
bb, s_preds);
changed |= sbitmap_a_or_b_and_c (pre_avout[bb], pre_comp[bb],
pre_transp[bb], pre_avin[bb]);
}
passes++;
}
if (gcse_file)
fprintf (gcse_file, "avail expr computation: %d passes\n", passes);
}
/* Compute expression anticipatability at entrance and exit of each block. */
static void
compute_pre_antinout ()
{
int bb, changed, passes;
sbitmap_zero (pre_antout[n_basic_blocks - 1]);
sbitmap_vector_ones (pre_antin, n_basic_blocks);
passes = 0;
changed = 1;
while (changed)
{
changed = 0;
/* We scan the blocks in the reverse order to speed up
the convergence. */
for (bb = n_basic_blocks - 1; bb >= 0; bb--)
{
if (bb != n_basic_blocks - 1)
sbitmap_intersect_of_successors (pre_antout[bb], pre_antin,
bb, s_succs);
changed |= sbitmap_a_or_b_and_c (pre_antin[bb], pre_antloc[bb],
pre_transp[bb], pre_antout[bb]);
}
passes++;
}
if (gcse_file)
fprintf (gcse_file, "antic expr computation: %d passes\n", passes);
}
/* Compute expression partial availability at entrance and exit of
each block. */
static void
compute_pre_pavinout ()
{
int bb, changed, passes;
sbitmap_zero (pre_pavin[0]);
sbitmap_vector_zero (pre_pavout, n_basic_blocks);
passes = 0;
changed = 1;
while (changed)
{
changed = 0;
for (bb = 0; bb < n_basic_blocks; bb++)
{
if (bb != 0)
sbitmap_union_of_predecessors (pre_pavin[bb], pre_pavout,
bb, s_preds);
changed |= sbitmap_a_or_b_and_c (pre_pavout[bb], pre_comp[bb],
pre_transp[bb], pre_pavin[bb]);
}
passes++;
}
if (gcse_file)
fprintf (gcse_file, "partially avail expr computation: %d passes\n", passes);
}
/* Compute "placement possible" information on entrance and exit of
each block.
From Fred Chow's Thesis:
A computation `e' is PP at a point `p' if it is anticipated at `p' and
all the anticipated e's can be rendered redundant by zero or more
insertions at that point and some other points in the procedure, and
these insertions satisfy the conditions that the insertions are always
at points that `e' is anticipated and the first anticipated e's after the
insertions are rendered redundant. */
static void
compute_pre_ppinout ()
{
int bb, i, changed, size, passes;
sbitmap_vector_ones (pre_ppin, n_basic_blocks);
/* ??? Inefficient as we set pre_ppin[0] twice, but simple. */
sbitmap_zero (pre_ppin[0]);
sbitmap_vector_ones (pre_ppout, n_basic_blocks);
/* ??? Inefficient as we set pre_ppout[n_basic_blocks-1] twice, but simple. */
sbitmap_zero (pre_ppout[n_basic_blocks - 1]);
size = pre_ppin[0]->size;
passes = 0;
changed = 1;
while (changed)
{
changed = 0;
for (bb = 1; bb < n_basic_blocks; bb++)
{
sbitmap_ptr antin = pre_antin[bb]->elms;
sbitmap_ptr pavin = pre_pavin[bb]->elms;
sbitmap_ptr antloc = pre_antloc[bb]->elms;
sbitmap_ptr transp = pre_transp[bb]->elms;
sbitmap_ptr ppout = pre_ppout[bb]->elms;
sbitmap_ptr ppin = pre_ppin[bb]->elms;
for (i = 0; i < size; i++)
{
int_list_ptr pred;
SBITMAP_ELT_TYPE tmp = *antin & *pavin & (*antloc | (*transp & *ppout));
SBITMAP_ELT_TYPE pred_val = -1L;
for (pred = s_preds[bb]; pred != NULL; pred = pred->next)
{
int pred_bb = INT_LIST_VAL (pred);
sbitmap_ptr ppout_j,avout_j;
if (pred_bb == ENTRY_BLOCK)
continue;
/* If this is a back edge, propagate info along the back
edge to allow for loop invariant code motion.
See FOLLOW_BACK_EDGES at the top of this file for a longer
discussion about loop invariant code motion in pre. */
if (! FOLLOW_BACK_EDGES
&& (INSN_CUID (BLOCK_HEAD (bb))
< INSN_CUID (BLOCK_END (pred_bb))))
{
pred_val = 0;
}
else
{
ppout_j = pre_ppout[pred_bb]->elms + i;
avout_j = pre_avout[pred_bb]->elms + i;
pred_val &= *ppout_j | *avout_j;
}
}
tmp &= pred_val;
*ppin = tmp;
antin++; pavin++; antloc++; transp++; ppout++; ppin++;
}
}
for (bb = 0; bb < n_basic_blocks - 1; bb++)
{
sbitmap_ptr ppout = pre_ppout[bb]->elms;
for (i = 0; i < size; i++)
{
int_list_ptr succ;
SBITMAP_ELT_TYPE tmp = -1L;
for (succ = s_succs[bb]; succ != NULL; succ = succ->next)
{
int succ_bb = INT_LIST_VAL (succ);
sbitmap_ptr ppin;
if (succ_bb == EXIT_BLOCK)
continue;
ppin = pre_ppin[succ_bb]->elms + i;
tmp &= *ppin;
}
if (*ppout != tmp)
{
changed = 1;
*ppout++ = tmp;
}
else
ppout++;
}
}
passes++;
}
if (gcse_file)
fprintf (gcse_file, "placement possible computation: %d passes\n", passes);
}
/* Top level routine to do the dataflow analysis needed by PRE. */
static void
compute_pre_data ()
{
compute_pre_local_properties ();
compute_pre_avinout ();
compute_pre_antinout ();
compute_pre_pavinout ();
compute_pre_ppinout ();
if (gcse_file)
fprintf (gcse_file, "\n");
}
/* PRE utilities */
/* Return non-zero if occurrence OCCR of expression EXPR reaches block BB.
VISITED is a pointer to a working buffer for tracking which BB's have
been visited. It is NULL for the top-level call.
We treat reaching expressions that go through blocks containing the same
reaching expression as "not reaching". E.g. if EXPR is generated in blocks
2 and 3, INSN is in block 4, and 2->3->4, we treat the expression in block
2 as not reaching. The intent is to improve the probability of finding
only one reaching expression and to reduce register lifetimes by picking
the closest such expression. */
static int
pre_expr_reaches_here_p (occr, expr, bb, visited)
struct occr *occr;
struct expr *expr;
int bb;
char *visited;
{
int_list_ptr pred;
if (visited == NULL)
{
visited = (char *) alloca (n_basic_blocks);
bzero (visited, n_basic_blocks);
}
for (pred = s_preds[bb]; pred != NULL; pred = pred->next)
{
int pred_bb = INT_LIST_VAL (pred);
if (pred_bb == ENTRY_BLOCK
/* Has predecessor has already been visited? */
|| visited[pred_bb])
{
/* Nothing to do. */
}
/* Does this predecessor generate this expression? */
else if (TEST_BIT (pre_comp[pred_bb], expr->bitmap_index))
{
/* Is this the occurrence we're looking for?
Note that there's only one generating occurrence per block
so we just need to check the block number. */
if (BLOCK_NUM (occr->insn) == pred_bb)
return 1;
visited[pred_bb] = 1;
}
/* Ignore this predecessor if it kills the expression. */
else if (! TEST_BIT (pre_transp[pred_bb], expr->bitmap_index))
visited[pred_bb] = 1;
/* Neither gen nor kill. */
else
{
visited[pred_bb] = 1;
if (pre_expr_reaches_here_p (occr, expr, pred_bb, visited))
return 1;
}
}
/* All paths have been checked. */
return 0;
}
/* Add EXPR to the end of basic block BB. */
static void
pre_insert_insn (expr, bb)
struct expr *expr;
int bb;
{
rtx insn = BLOCK_END (bb);
rtx new_insn;
rtx reg = expr->reaching_reg;
int regno = REGNO (reg);
rtx pat;
pat = gen_rtx_SET (VOIDmode, reg, copy_rtx (expr->expr));
/* If the last insn is a jump, insert EXPR in front [taking care to
handle cc0, etc. properly]. */
if (GET_CODE (insn) == JUMP_INSN)
{
#ifdef HAVE_cc0
rtx note;
#endif
/* If this is a jump table, then we can't insert stuff here. Since
we know the previous real insn must be the tablejump, we insert
the new instruction just before the tablejump. */
if (GET_CODE (PATTERN (insn)) == ADDR_VEC
|| GET_CODE (PATTERN (insn)) == ADDR_DIFF_VEC)
insn = prev_real_insn (insn);
#ifdef HAVE_cc0
/* FIXME: 'twould be nice to call prev_cc0_setter here but it aborts
if cc0 isn't set. */
note = find_reg_note (insn, REG_CC_SETTER, NULL_RTX);
if (note)
insn = XEXP (note, 0);
else
{
rtx maybe_cc0_setter = prev_nonnote_insn (insn);
if (maybe_cc0_setter
&& GET_RTX_CLASS (GET_CODE (maybe_cc0_setter)) == 'i'
&& sets_cc0_p (PATTERN (maybe_cc0_setter)))
insn = maybe_cc0_setter;
}
#endif
/* FIXME: What if something in cc0/jump uses value set in new insn? */
new_insn = emit_insn_before (pat, insn);
add_label_notes (SET_SRC (pat), new_insn);
if (BLOCK_HEAD (bb) == insn)
BLOCK_HEAD (bb) = new_insn;
/* Keep block number table up to date. */
set_block_num (new_insn, bb);
/* Keep register set table up to date. */
record_one_set (regno, new_insn);
}
else
{
new_insn = emit_insn_after (pat, insn);
add_label_notes (SET_SRC (pat), new_insn);
BLOCK_END (bb) = new_insn;
/* Keep block number table up to date. */
set_block_num (new_insn, bb);
/* Keep register set table up to date. */
record_one_set (regno, new_insn);
}
gcse_create_count++;
if (gcse_file)
{
fprintf (gcse_file, "PRE: end of bb %d, insn %d, copying expression %d to reg %d\n",
bb, INSN_UID (new_insn), expr->bitmap_index, regno);
}
}
/* Insert partially redundant expressions at the ends of appropriate basic
blocks making them now redundant. */
static void
pre_insert (index_map)
struct expr **index_map;
{
int bb, i, size;
/* Compute INSERT = PPOUT & (~AVOUT) & (~PPIN | ~TRANSP) for each
expression. Where INSERT == TRUE, add the expression at the end of
the basic block. */
size = pre_ppout[0]->size;
for (bb = 0; bb < n_basic_blocks; bb++)
{
int indx;
sbitmap_ptr ppout = pre_ppout[bb]->elms;
sbitmap_ptr avout = pre_avout[bb]->elms;
sbitmap_ptr ppin = pre_ppin[bb]->elms;
sbitmap_ptr transp = pre_transp[bb]->elms;
for (i = indx = 0;
i < size;
i++, indx += SBITMAP_ELT_BITS, ppout++, avout++, ppin++, transp++)
{
int j;
SBITMAP_ELT_TYPE insert = *ppout & (~*avout) & (~*ppin | ~*transp);
for (j = indx; insert != 0 && j < n_exprs; j++, insert >>= 1)
{
if ((insert & 1) != 0
/* If the basic block isn't reachable, PPOUT will be TRUE.
However, we don't want to insert a copy here because the
expression may not really be redundant. So only insert
an insn if the expression was deleted. */
&& index_map[j]->reaching_reg != NULL)
pre_insert_insn (index_map[j], bb);
}
}
}
}
/* Copy the result of INSN to REG.
INDX is the expression number. */
static void
pre_insert_copy_insn (expr, insn)
struct expr *expr;
rtx insn;
{
rtx reg = expr->reaching_reg;
int regno = REGNO (reg);
int indx = expr->bitmap_index;
rtx set = single_set (insn);
rtx new_insn;
if (!set)
abort ();
new_insn = emit_insn_after (gen_rtx_SET (VOIDmode, reg, SET_DEST (set)),
insn);
/* Keep block number table up to date. */
set_block_num (new_insn, BLOCK_NUM (insn));
/* Keep register set table up to date. */
record_one_set (regno, new_insn);
gcse_create_count++;
if (gcse_file)
{
fprintf (gcse_file, "PRE: bb %d, insn %d, copying expression %d in insn %d to reg %d\n",
BLOCK_NUM (insn), INSN_UID (new_insn), indx, INSN_UID (insn), regno);
}
}
/* Copy available expressions that reach the redundant expression
to `reaching_reg'. */
static void
pre_insert_copies ()
{
int i;
/* For each available expression in the table, copy the result to
`reaching_reg' if the expression reaches a deleted one.
??? The current algorithm is rather brute force.
Need to do some profiling. */
for (i = 0; i < expr_hash_table_size; i++)
{
struct expr *expr;
for (expr = expr_hash_table[i]; expr != NULL; expr = expr->next_same_hash)
{
struct occr *occr;
/* If the basic block isn't reachable, PPOUT will be TRUE.
However, we don't want to insert a copy here because the
expression may not really be redundant. So only insert
an insn if the expression was deleted.
This test also avoids further processing if the expression
wasn't deleted anywhere. */
if (expr->reaching_reg == NULL)
continue;
for (occr = expr->antic_occr; occr != NULL; occr = occr->next)
{
struct occr *avail;
if (! occr->deleted_p)
continue;
for (avail = expr->avail_occr; avail != NULL; avail = avail->next)
{
rtx insn = avail->insn;
/* No need to handle this one if handled already. */
if (avail->copied_p)
continue;
/* Don't handle this one if it's a redundant one. */
if (TEST_BIT (pre_redundant, INSN_CUID (insn)))
continue;
/* Or if the expression doesn't reach the deleted one. */
if (! pre_expr_reaches_here_p (avail, expr,
BLOCK_NUM (occr->insn),
NULL))
continue;
/* Copy the result of avail to reaching_reg. */
pre_insert_copy_insn (expr, insn);
avail->copied_p = 1;
}
}
}
}
}
/* Delete redundant computations.
These are ones that satisy ANTLOC & PPIN.
Deletion is done by changing the insn to copy the `reaching_reg' of
the expression into the result of the SET. It is left to later passes
(cprop, cse2, flow, combine, regmove) to propagate the copy or eliminate it.
Returns non-zero if a change is made. */
static int
pre_delete ()
{
int i, changed;
changed = 0;
for (i = 0; i < expr_hash_table_size; i++)
{
struct expr *expr;
for (expr = expr_hash_table[i]; expr != NULL; expr = expr->next_same_hash)
{
struct occr *occr;
int indx = expr->bitmap_index;
/* We only need to search antic_occr since we require
ANTLOC != 0. */
for (occr = expr->antic_occr; occr != NULL; occr = occr->next)
{
rtx insn = occr->insn;
rtx set;
int bb = BLOCK_NUM (insn);
sbitmap ppin = pre_ppin[bb];
if (TEST_BIT (ppin, indx))
{
set = single_set (insn);
if (! set)
abort ();
/* Create a pseudo-reg to store the result of reaching
expressions into. Get the mode for the new pseudo
from the mode of the original destination pseudo. */
if (expr->reaching_reg == NULL)
expr->reaching_reg
= gen_reg_rtx (GET_MODE (SET_DEST (set)));
/* In theory this should never fail since we're creating
a reg->reg copy.
However, on the x86 some of the movXX patterns actually
contain clobbers of scratch regs. This may cause the
insn created by validate_change to not patch any pattern
and thus cause validate_change to fail. */
if (validate_change (insn, &SET_SRC (set),
expr->reaching_reg, 0))
{
occr->deleted_p = 1;
SET_BIT (pre_redundant, INSN_CUID (insn));
changed = 1;
gcse_subst_count++;
}
if (gcse_file)
{
fprintf (gcse_file, "PRE: redundant insn %d (expression %d) in bb %d, reaching reg is %d\n",
INSN_UID (insn), indx, bb, REGNO (expr->reaching_reg));
}
}
}
}
}
return changed;
}
/* Perform GCSE optimizations using PRE.
This is called by one_pre_gcse_pass after all the dataflow analysis
has been done.
This is based on the original Morel-Renvoise paper and Fred Chow's thesis.
The M-R paper uses "TRANSP" to describe an expression as being transparent
in a block where as Chow's thesis uses "ALTERED". We use TRANSP.
??? A new pseudo reg is created to hold the reaching expression.
The nice thing about the classical approach is that it would try to
use an existing reg. If the register can't be adequately optimized
[i.e. we introduce reload problems], one could add a pass here to
propagate the new register through the block.
??? We don't handle single sets in PARALLELs because we're [currently]
not able to copy the rest of the parallel when we insert copies to create
full redundancies from partial redundancies. However, there's no reason
why we can't handle PARALLELs in the cases where there are no partial
redundancies. */
static int
pre_gcse ()
{
int i;
int changed;
struct expr **index_map;
/* Compute a mapping from expression number (`bitmap_index') to
hash table entry. */
index_map = (struct expr **) alloca (n_exprs * sizeof (struct expr *));
bzero ((char *) index_map, n_exprs * sizeof (struct expr *));
for (i = 0; i < expr_hash_table_size; i++)
{
struct expr *expr;
for (expr = expr_hash_table[i]; expr != NULL; expr = expr->next_same_hash)
index_map[expr->bitmap_index] = expr;
}
/* Reset bitmap used to track which insns are redundant. */
pre_redundant = sbitmap_alloc (max_cuid);
sbitmap_zero (pre_redundant);
/* Delete the redundant insns first so that
- we know what register to use for the new insns and for the other
ones with reaching expressions
- we know which insns are redundant when we go to create copies */
changed = pre_delete ();
/* Insert insns in places that make partially redundant expressions
fully redundant. */
pre_insert (index_map);
/* In other places with reaching expressions, copy the expression to the
specially allocated pseudo-reg that reaches the redundant expression. */
pre_insert_copies ();
free (pre_redundant);
return changed;
}
/* Top level routine to perform one PRE GCSE pass.
Return non-zero if a change was made. */
static int
one_pre_gcse_pass (f, pass)
rtx f;
int pass;
{
int changed = 0;
gcse_subst_count = 0;
gcse_create_count = 0;
alloc_expr_hash_table (max_cuid);
compute_expr_hash_table (f);
if (gcse_file)
dump_hash_table (gcse_file, "Expression", expr_hash_table,
expr_hash_table_size, n_exprs);
if (n_exprs > 0)
{
alloc_pre_mem (n_basic_blocks, n_exprs);
compute_pre_data ();
changed |= pre_gcse ();
free_pre_mem ();
}
free_expr_hash_table ();
if (gcse_file)
{
fprintf (gcse_file, "\n");
fprintf (gcse_file, "PRE GCSE of %s, pass %d: %d bytes needed, %d substs, %d insns created\n",
current_function_name, pass,
bytes_used, gcse_subst_count, gcse_create_count);
}
return changed;
}
/* If X contains any LABEL_REF's, add REG_LABEL notes for them to INSN.
We have to add REG_LABEL notes, because the following loop optimization
pass requires them. */
/* ??? This is very similar to the loop.c add_label_notes function. We
could probably share code here. */
/* ??? If there was a jump optimization pass after gcse and before loop,
then we would not need to do this here, because jump would add the
necessary REG_LABEL notes. */
static void
add_label_notes (x, insn)
rtx x;
rtx insn;
{
enum rtx_code code = GET_CODE (x);
int i, j;
char *fmt;
if (code == LABEL_REF && !LABEL_REF_NONLOCAL_P (x))
{
/* This code used to ignore labels that referred to dispatch tables to
avoid flow generating (slighly) worse code.
We no longer ignore such label references (see LABEL_REF handling in
mark_jump_label for additional information). */
REG_NOTES (insn) = gen_rtx_EXPR_LIST (REG_LABEL, XEXP (x, 0),
REG_NOTES (insn));
return;
}
fmt = GET_RTX_FORMAT (code);
for (i = GET_RTX_LENGTH (code) - 1; i >= 0; i--)
{
if (fmt[i] == 'e')
add_label_notes (XEXP (x, i), insn);
else if (fmt[i] == 'E')
for (j = XVECLEN (x, i) - 1; j >= 0; j--)
add_label_notes (XVECEXP (x, i, j), insn);
}
}
|