1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047 4048 4049 4050 4051 4052 4053 4054 4055 4056 4057 4058 4059 4060 4061 4062 4063 4064 4065 4066 4067 4068 4069 4070 4071 4072 4073 4074 4075 4076 4077 4078 4079 4080 4081 4082 4083 4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 4094 4095 4096 4097 4098 4099 4100 4101 4102 4103 4104 4105 4106 4107 4108 4109 4110 4111 4112 4113 4114 4115 4116 4117 4118 4119 4120 4121 4122 4123 4124 4125 4126 4127 4128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141 4142 4143 4144 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160 4161 4162 4163 4164 4165 4166 4167 4168 4169 4170 4171 4172 4173 4174 4175 4176 4177 4178 4179 4180 4181 4182 4183 4184 4185 4186 4187 4188 4189 4190 4191 4192 4193 4194 4195 4196 4197 4198 4199 4200 4201 4202 4203 4204 4205 4206 4207 4208 4209 4210 4211 4212 4213 4214 4215 4216 4217 4218 4219 4220 4221 4222 4223 4224 4225 4226 4227 4228 4229 4230 4231 4232 4233 4234 4235 4236 4237 4238 4239 4240 4241 4242 4243 4244 4245 4246 4247 4248 4249 4250 4251 4252 4253 4254 4255 4256 4257 4258 4259 4260 4261 4262 4263 4264 4265 4266 4267 4268 4269 4270 4271 4272 4273 4274 4275 4276 4277 4278 4279 4280 4281 4282 4283 4284 4285 4286 4287 4288 4289 4290 4291 4292 4293 4294 4295 4296 4297 4298 4299 4300 4301 4302 4303 4304 4305 4306 4307 4308 4309 4310 4311 4312 4313 4314 4315 4316 4317 4318 4319 4320 4321 4322 4323 4324 4325 4326 4327 4328 4329 4330 4331 4332 4333 4334 4335 4336 4337 4338 4339 4340 4341 4342 4343 4344 4345 4346 4347 4348 4349 4350 4351 4352 4353 4354 4355 4356 4357 4358 4359 4360 4361 4362 4363 4364 4365 4366 4367 4368 4369 4370 4371 4372 4373 4374 4375 4376 4377 4378 4379 4380 4381 4382 4383 4384 4385 4386 4387 4388 4389 4390 4391 4392 4393 4394 4395 4396 4397 4398 4399 4400 4401 4402 4403 4404 4405 4406 4407 4408 4409 4410 4411 4412 4413 4414 4415 4416 4417 4418 4419 4420 4421 4422 4423 4424 4425 4426 4427 4428 4429 4430 4431 4432 4433 4434 4435 4436 4437 4438 4439 4440 4441 4442 4443 4444 4445 4446 4447 4448 4449 4450 4451 4452 4453 4454 4455 4456 4457 4458 4459 4460 4461 4462 4463 4464 4465 4466 4467 4468 4469 4470 4471 4472 4473 4474 4475 4476 4477 4478 4479 4480 4481 4482 4483 4484 4485 4486 4487 4488 4489 4490 4491 4492 4493 4494 4495 4496 4497 4498 4499 4500 4501 4502 4503 4504 4505 4506 4507 4508 4509 4510 4511 4512 4513 4514 4515 4516 4517 4518 4519 4520 4521 4522 4523 4524 4525 4526 4527 4528 4529 4530 4531 4532 4533 4534 4535 4536 4537 4538 4539 4540 4541 4542 4543 4544 4545 4546 4547 4548 4549 4550 4551 4552 4553 4554 4555 4556 4557 4558 4559 4560 4561 4562 4563 4564 4565 4566 4567 4568 4569 4570 4571 4572 4573 4574 4575 4576 4577 4578 4579 4580 4581 4582 4583 4584 4585 4586 4587 4588 4589 4590 4591 4592 4593 4594 4595 4596 4597 4598 4599 4600 4601 4602 4603 4604 4605 4606 4607 4608 4609 4610 4611 4612 4613 4614 4615 4616 4617 4618 4619 4620 4621 4622 4623 4624 4625 4626 4627 4628 4629 4630 4631 4632 4633 4634 4635 4636 4637 4638 4639 4640 4641 4642 4643 4644 4645 4646 4647 4648 4649 4650 4651 4652 4653 4654 4655 4656 4657 4658 4659 4660 4661 4662 4663 4664 4665 4666 4667 4668 4669 4670 4671 4672 4673 4674 4675 4676 4677 4678 4679 4680 4681 4682 4683 4684 4685 4686 4687 4688 4689 4690 4691 4692 4693 4694 4695 4696 4697 4698 4699 4700 4701 4702 4703 4704 4705 4706 4707 4708 4709 4710 4711 4712 4713 4714 4715 4716 4717 4718 4719 4720 4721 4722 4723 4724 4725 4726 4727 4728 4729 4730 4731 4732 4733 4734 4735 4736 4737 4738 4739 4740 4741 4742 4743 4744 4745 4746 4747 4748 4749 4750 4751 4752 4753 4754 4755 4756 4757 4758 4759 4760
|
/* Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --inline --static --use-value-barrier p256 32 '2^256 - 2^224 + 2^192 + 2^96 - 1' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp */
/* curve description: p256 */
/* machine_wordsize = 32 (from "32") */
/* requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes, one, msat, divstep, divstep_precomp */
/* m = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff (from "2^256 - 2^224 + 2^192 + 2^96 - 1") */
/* */
/* NOTE: In addition to the bounds specified above each function, all */
/* functions synthesized for this Montgomery arithmetic require the */
/* input to be strictly less than the prime modulus (m), and also */
/* require the input to be in the unique saturated representation. */
/* All functions also ensure that these two properties are true of */
/* return values. */
/* */
/* Computed values: */
/* eval z = z[0] + (z[1] << 32) + (z[2] << 64) + (z[3] << 96) + (z[4] << 128) + (z[5] << 160) + (z[6] << 192) + (z[7] << 224) */
/* bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) */
/* twos_complement_eval z = let x1 := z[0] + (z[1] << 32) + (z[2] << 64) + (z[3] << 96) + (z[4] << 128) + (z[5] << 160) + (z[6] << 192) + (z[7] << 224) in */
/* if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256 */
#include <stdint.h>
typedef unsigned char fiat_p256_uint1;
typedef signed char fiat_p256_int1;
#if defined(__GNUC__) || defined(__clang__)
# define FIAT_P256_FIAT_INLINE __inline__
#else
# define FIAT_P256_FIAT_INLINE
#endif
/* The type fiat_p256_montgomery_domain_field_element is a field element in the Montgomery domain. */
/* Bounds: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */
typedef uint32_t fiat_p256_montgomery_domain_field_element[8];
/* The type fiat_p256_non_montgomery_domain_field_element is a field element NOT in the Montgomery domain. */
/* Bounds: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */
typedef uint32_t fiat_p256_non_montgomery_domain_field_element[8];
#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif
#if !defined(FIAT_P256_NO_ASM) && (defined(__GNUC__) || defined(__clang__))
static __inline__ uint32_t fiat_p256_value_barrier_u32(uint32_t a) {
__asm__("" : "+r"(a) : /* no inputs */);
return a;
}
#else
# define fiat_p256_value_barrier_u32(x) (x)
#endif
/*
* The function fiat_p256_addcarryx_u32 is an addition with carry.
*
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^32
* out2 = ⌊(arg1 + arg2 + arg3) / 2^32⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_addcarryx_u32(uint32_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint32_t arg2, uint32_t arg3) {
uint64_t x1;
uint32_t x2;
fiat_p256_uint1 x3;
x1 = ((arg1 + (uint64_t)arg2) + arg3);
x2 = (uint32_t)(x1 & UINT32_C(0xffffffff));
x3 = (fiat_p256_uint1)(x1 >> 32);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p256_subborrowx_u32 is a subtraction with borrow.
*
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^32
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^32⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_subborrowx_u32(uint32_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint32_t arg2, uint32_t arg3) {
int64_t x1;
fiat_p256_int1 x2;
uint32_t x3;
x1 = ((arg2 - (int64_t)arg1) - arg3);
x2 = (fiat_p256_int1)(x1 >> 32);
x3 = (uint32_t)(x1 & UINT32_C(0xffffffff));
*out1 = x3;
*out2 = (fiat_p256_uint1)(0x0 - x2);
}
/*
* The function fiat_p256_mulx_u32 is a multiplication, returning the full double-width result.
*
* Postconditions:
* out1 = (arg1 * arg2) mod 2^32
* out2 = ⌊arg1 * arg2 / 2^32⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0xffffffff]
* arg2: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [0x0 ~> 0xffffffff]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_mulx_u32(uint32_t* out1, uint32_t* out2, uint32_t arg1, uint32_t arg2) {
uint64_t x1;
uint32_t x2;
uint32_t x3;
x1 = ((uint64_t)arg1 * arg2);
x2 = (uint32_t)(x1 & UINT32_C(0xffffffff));
x3 = (uint32_t)(x1 >> 32);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p256_cmovznz_u32 is a single-word conditional move.
*
* Postconditions:
* out1 = (if arg1 = 0 then arg2 else arg3)
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_cmovznz_u32(uint32_t* out1, fiat_p256_uint1 arg1, uint32_t arg2, uint32_t arg3) {
fiat_p256_uint1 x1;
uint32_t x2;
uint32_t x3;
x1 = (!(!arg1));
x2 = ((fiat_p256_int1)(0x0 - x1) & UINT32_C(0xffffffff));
x3 = ((fiat_p256_value_barrier_u32(x2) & arg3) | (fiat_p256_value_barrier_u32((~x2)) & arg2));
*out1 = x3;
}
/*
* The function fiat_p256_mul multiplies two field elements in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_mul(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_field_element arg2) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
uint32_t x11;
uint32_t x12;
uint32_t x13;
uint32_t x14;
uint32_t x15;
uint32_t x16;
uint32_t x17;
uint32_t x18;
uint32_t x19;
uint32_t x20;
uint32_t x21;
uint32_t x22;
uint32_t x23;
uint32_t x24;
uint32_t x25;
fiat_p256_uint1 x26;
uint32_t x27;
fiat_p256_uint1 x28;
uint32_t x29;
fiat_p256_uint1 x30;
uint32_t x31;
fiat_p256_uint1 x32;
uint32_t x33;
fiat_p256_uint1 x34;
uint32_t x35;
fiat_p256_uint1 x36;
uint32_t x37;
fiat_p256_uint1 x38;
uint32_t x39;
uint32_t x40;
uint32_t x41;
uint32_t x42;
uint32_t x43;
uint32_t x44;
uint32_t x45;
uint32_t x46;
uint32_t x47;
uint32_t x48;
fiat_p256_uint1 x49;
uint32_t x50;
fiat_p256_uint1 x51;
uint32_t x52;
uint32_t x53;
fiat_p256_uint1 x54;
uint32_t x55;
fiat_p256_uint1 x56;
uint32_t x57;
fiat_p256_uint1 x58;
uint32_t x59;
fiat_p256_uint1 x60;
uint32_t x61;
fiat_p256_uint1 x62;
uint32_t x63;
fiat_p256_uint1 x64;
uint32_t x65;
fiat_p256_uint1 x66;
uint32_t x67;
fiat_p256_uint1 x68;
uint32_t x69;
fiat_p256_uint1 x70;
uint32_t x71;
uint32_t x72;
uint32_t x73;
uint32_t x74;
uint32_t x75;
uint32_t x76;
uint32_t x77;
uint32_t x78;
uint32_t x79;
uint32_t x80;
uint32_t x81;
uint32_t x82;
uint32_t x83;
uint32_t x84;
uint32_t x85;
uint32_t x86;
uint32_t x87;
fiat_p256_uint1 x88;
uint32_t x89;
fiat_p256_uint1 x90;
uint32_t x91;
fiat_p256_uint1 x92;
uint32_t x93;
fiat_p256_uint1 x94;
uint32_t x95;
fiat_p256_uint1 x96;
uint32_t x97;
fiat_p256_uint1 x98;
uint32_t x99;
fiat_p256_uint1 x100;
uint32_t x101;
uint32_t x102;
fiat_p256_uint1 x103;
uint32_t x104;
fiat_p256_uint1 x105;
uint32_t x106;
fiat_p256_uint1 x107;
uint32_t x108;
fiat_p256_uint1 x109;
uint32_t x110;
fiat_p256_uint1 x111;
uint32_t x112;
fiat_p256_uint1 x113;
uint32_t x114;
fiat_p256_uint1 x115;
uint32_t x116;
fiat_p256_uint1 x117;
uint32_t x118;
fiat_p256_uint1 x119;
uint32_t x120;
uint32_t x121;
uint32_t x122;
uint32_t x123;
uint32_t x124;
uint32_t x125;
uint32_t x126;
uint32_t x127;
uint32_t x128;
fiat_p256_uint1 x129;
uint32_t x130;
fiat_p256_uint1 x131;
uint32_t x132;
uint32_t x133;
fiat_p256_uint1 x134;
uint32_t x135;
fiat_p256_uint1 x136;
uint32_t x137;
fiat_p256_uint1 x138;
uint32_t x139;
fiat_p256_uint1 x140;
uint32_t x141;
fiat_p256_uint1 x142;
uint32_t x143;
fiat_p256_uint1 x144;
uint32_t x145;
fiat_p256_uint1 x146;
uint32_t x147;
fiat_p256_uint1 x148;
uint32_t x149;
fiat_p256_uint1 x150;
uint32_t x151;
uint32_t x152;
uint32_t x153;
uint32_t x154;
uint32_t x155;
uint32_t x156;
uint32_t x157;
uint32_t x158;
uint32_t x159;
uint32_t x160;
uint32_t x161;
uint32_t x162;
uint32_t x163;
uint32_t x164;
uint32_t x165;
uint32_t x166;
uint32_t x167;
uint32_t x168;
fiat_p256_uint1 x169;
uint32_t x170;
fiat_p256_uint1 x171;
uint32_t x172;
fiat_p256_uint1 x173;
uint32_t x174;
fiat_p256_uint1 x175;
uint32_t x176;
fiat_p256_uint1 x177;
uint32_t x178;
fiat_p256_uint1 x179;
uint32_t x180;
fiat_p256_uint1 x181;
uint32_t x182;
uint32_t x183;
fiat_p256_uint1 x184;
uint32_t x185;
fiat_p256_uint1 x186;
uint32_t x187;
fiat_p256_uint1 x188;
uint32_t x189;
fiat_p256_uint1 x190;
uint32_t x191;
fiat_p256_uint1 x192;
uint32_t x193;
fiat_p256_uint1 x194;
uint32_t x195;
fiat_p256_uint1 x196;
uint32_t x197;
fiat_p256_uint1 x198;
uint32_t x199;
fiat_p256_uint1 x200;
uint32_t x201;
uint32_t x202;
uint32_t x203;
uint32_t x204;
uint32_t x205;
uint32_t x206;
uint32_t x207;
uint32_t x208;
uint32_t x209;
fiat_p256_uint1 x210;
uint32_t x211;
fiat_p256_uint1 x212;
uint32_t x213;
uint32_t x214;
fiat_p256_uint1 x215;
uint32_t x216;
fiat_p256_uint1 x217;
uint32_t x218;
fiat_p256_uint1 x219;
uint32_t x220;
fiat_p256_uint1 x221;
uint32_t x222;
fiat_p256_uint1 x223;
uint32_t x224;
fiat_p256_uint1 x225;
uint32_t x226;
fiat_p256_uint1 x227;
uint32_t x228;
fiat_p256_uint1 x229;
uint32_t x230;
fiat_p256_uint1 x231;
uint32_t x232;
uint32_t x233;
uint32_t x234;
uint32_t x235;
uint32_t x236;
uint32_t x237;
uint32_t x238;
uint32_t x239;
uint32_t x240;
uint32_t x241;
uint32_t x242;
uint32_t x243;
uint32_t x244;
uint32_t x245;
uint32_t x246;
uint32_t x247;
uint32_t x248;
uint32_t x249;
fiat_p256_uint1 x250;
uint32_t x251;
fiat_p256_uint1 x252;
uint32_t x253;
fiat_p256_uint1 x254;
uint32_t x255;
fiat_p256_uint1 x256;
uint32_t x257;
fiat_p256_uint1 x258;
uint32_t x259;
fiat_p256_uint1 x260;
uint32_t x261;
fiat_p256_uint1 x262;
uint32_t x263;
uint32_t x264;
fiat_p256_uint1 x265;
uint32_t x266;
fiat_p256_uint1 x267;
uint32_t x268;
fiat_p256_uint1 x269;
uint32_t x270;
fiat_p256_uint1 x271;
uint32_t x272;
fiat_p256_uint1 x273;
uint32_t x274;
fiat_p256_uint1 x275;
uint32_t x276;
fiat_p256_uint1 x277;
uint32_t x278;
fiat_p256_uint1 x279;
uint32_t x280;
fiat_p256_uint1 x281;
uint32_t x282;
uint32_t x283;
uint32_t x284;
uint32_t x285;
uint32_t x286;
uint32_t x287;
uint32_t x288;
uint32_t x289;
uint32_t x290;
fiat_p256_uint1 x291;
uint32_t x292;
fiat_p256_uint1 x293;
uint32_t x294;
uint32_t x295;
fiat_p256_uint1 x296;
uint32_t x297;
fiat_p256_uint1 x298;
uint32_t x299;
fiat_p256_uint1 x300;
uint32_t x301;
fiat_p256_uint1 x302;
uint32_t x303;
fiat_p256_uint1 x304;
uint32_t x305;
fiat_p256_uint1 x306;
uint32_t x307;
fiat_p256_uint1 x308;
uint32_t x309;
fiat_p256_uint1 x310;
uint32_t x311;
fiat_p256_uint1 x312;
uint32_t x313;
uint32_t x314;
uint32_t x315;
uint32_t x316;
uint32_t x317;
uint32_t x318;
uint32_t x319;
uint32_t x320;
uint32_t x321;
uint32_t x322;
uint32_t x323;
uint32_t x324;
uint32_t x325;
uint32_t x326;
uint32_t x327;
uint32_t x328;
uint32_t x329;
uint32_t x330;
fiat_p256_uint1 x331;
uint32_t x332;
fiat_p256_uint1 x333;
uint32_t x334;
fiat_p256_uint1 x335;
uint32_t x336;
fiat_p256_uint1 x337;
uint32_t x338;
fiat_p256_uint1 x339;
uint32_t x340;
fiat_p256_uint1 x341;
uint32_t x342;
fiat_p256_uint1 x343;
uint32_t x344;
uint32_t x345;
fiat_p256_uint1 x346;
uint32_t x347;
fiat_p256_uint1 x348;
uint32_t x349;
fiat_p256_uint1 x350;
uint32_t x351;
fiat_p256_uint1 x352;
uint32_t x353;
fiat_p256_uint1 x354;
uint32_t x355;
fiat_p256_uint1 x356;
uint32_t x357;
fiat_p256_uint1 x358;
uint32_t x359;
fiat_p256_uint1 x360;
uint32_t x361;
fiat_p256_uint1 x362;
uint32_t x363;
uint32_t x364;
uint32_t x365;
uint32_t x366;
uint32_t x367;
uint32_t x368;
uint32_t x369;
uint32_t x370;
uint32_t x371;
fiat_p256_uint1 x372;
uint32_t x373;
fiat_p256_uint1 x374;
uint32_t x375;
uint32_t x376;
fiat_p256_uint1 x377;
uint32_t x378;
fiat_p256_uint1 x379;
uint32_t x380;
fiat_p256_uint1 x381;
uint32_t x382;
fiat_p256_uint1 x383;
uint32_t x384;
fiat_p256_uint1 x385;
uint32_t x386;
fiat_p256_uint1 x387;
uint32_t x388;
fiat_p256_uint1 x389;
uint32_t x390;
fiat_p256_uint1 x391;
uint32_t x392;
fiat_p256_uint1 x393;
uint32_t x394;
uint32_t x395;
uint32_t x396;
uint32_t x397;
uint32_t x398;
uint32_t x399;
uint32_t x400;
uint32_t x401;
uint32_t x402;
uint32_t x403;
uint32_t x404;
uint32_t x405;
uint32_t x406;
uint32_t x407;
uint32_t x408;
uint32_t x409;
uint32_t x410;
uint32_t x411;
fiat_p256_uint1 x412;
uint32_t x413;
fiat_p256_uint1 x414;
uint32_t x415;
fiat_p256_uint1 x416;
uint32_t x417;
fiat_p256_uint1 x418;
uint32_t x419;
fiat_p256_uint1 x420;
uint32_t x421;
fiat_p256_uint1 x422;
uint32_t x423;
fiat_p256_uint1 x424;
uint32_t x425;
uint32_t x426;
fiat_p256_uint1 x427;
uint32_t x428;
fiat_p256_uint1 x429;
uint32_t x430;
fiat_p256_uint1 x431;
uint32_t x432;
fiat_p256_uint1 x433;
uint32_t x434;
fiat_p256_uint1 x435;
uint32_t x436;
fiat_p256_uint1 x437;
uint32_t x438;
fiat_p256_uint1 x439;
uint32_t x440;
fiat_p256_uint1 x441;
uint32_t x442;
fiat_p256_uint1 x443;
uint32_t x444;
uint32_t x445;
uint32_t x446;
uint32_t x447;
uint32_t x448;
uint32_t x449;
uint32_t x450;
uint32_t x451;
uint32_t x452;
fiat_p256_uint1 x453;
uint32_t x454;
fiat_p256_uint1 x455;
uint32_t x456;
uint32_t x457;
fiat_p256_uint1 x458;
uint32_t x459;
fiat_p256_uint1 x460;
uint32_t x461;
fiat_p256_uint1 x462;
uint32_t x463;
fiat_p256_uint1 x464;
uint32_t x465;
fiat_p256_uint1 x466;
uint32_t x467;
fiat_p256_uint1 x468;
uint32_t x469;
fiat_p256_uint1 x470;
uint32_t x471;
fiat_p256_uint1 x472;
uint32_t x473;
fiat_p256_uint1 x474;
uint32_t x475;
uint32_t x476;
uint32_t x477;
uint32_t x478;
uint32_t x479;
uint32_t x480;
uint32_t x481;
uint32_t x482;
uint32_t x483;
uint32_t x484;
uint32_t x485;
uint32_t x486;
uint32_t x487;
uint32_t x488;
uint32_t x489;
uint32_t x490;
uint32_t x491;
uint32_t x492;
fiat_p256_uint1 x493;
uint32_t x494;
fiat_p256_uint1 x495;
uint32_t x496;
fiat_p256_uint1 x497;
uint32_t x498;
fiat_p256_uint1 x499;
uint32_t x500;
fiat_p256_uint1 x501;
uint32_t x502;
fiat_p256_uint1 x503;
uint32_t x504;
fiat_p256_uint1 x505;
uint32_t x506;
uint32_t x507;
fiat_p256_uint1 x508;
uint32_t x509;
fiat_p256_uint1 x510;
uint32_t x511;
fiat_p256_uint1 x512;
uint32_t x513;
fiat_p256_uint1 x514;
uint32_t x515;
fiat_p256_uint1 x516;
uint32_t x517;
fiat_p256_uint1 x518;
uint32_t x519;
fiat_p256_uint1 x520;
uint32_t x521;
fiat_p256_uint1 x522;
uint32_t x523;
fiat_p256_uint1 x524;
uint32_t x525;
uint32_t x526;
uint32_t x527;
uint32_t x528;
uint32_t x529;
uint32_t x530;
uint32_t x531;
uint32_t x532;
uint32_t x533;
fiat_p256_uint1 x534;
uint32_t x535;
fiat_p256_uint1 x536;
uint32_t x537;
uint32_t x538;
fiat_p256_uint1 x539;
uint32_t x540;
fiat_p256_uint1 x541;
uint32_t x542;
fiat_p256_uint1 x543;
uint32_t x544;
fiat_p256_uint1 x545;
uint32_t x546;
fiat_p256_uint1 x547;
uint32_t x548;
fiat_p256_uint1 x549;
uint32_t x550;
fiat_p256_uint1 x551;
uint32_t x552;
fiat_p256_uint1 x553;
uint32_t x554;
fiat_p256_uint1 x555;
uint32_t x556;
uint32_t x557;
uint32_t x558;
uint32_t x559;
uint32_t x560;
uint32_t x561;
uint32_t x562;
uint32_t x563;
uint32_t x564;
uint32_t x565;
uint32_t x566;
uint32_t x567;
uint32_t x568;
uint32_t x569;
uint32_t x570;
uint32_t x571;
uint32_t x572;
uint32_t x573;
fiat_p256_uint1 x574;
uint32_t x575;
fiat_p256_uint1 x576;
uint32_t x577;
fiat_p256_uint1 x578;
uint32_t x579;
fiat_p256_uint1 x580;
uint32_t x581;
fiat_p256_uint1 x582;
uint32_t x583;
fiat_p256_uint1 x584;
uint32_t x585;
fiat_p256_uint1 x586;
uint32_t x587;
uint32_t x588;
fiat_p256_uint1 x589;
uint32_t x590;
fiat_p256_uint1 x591;
uint32_t x592;
fiat_p256_uint1 x593;
uint32_t x594;
fiat_p256_uint1 x595;
uint32_t x596;
fiat_p256_uint1 x597;
uint32_t x598;
fiat_p256_uint1 x599;
uint32_t x600;
fiat_p256_uint1 x601;
uint32_t x602;
fiat_p256_uint1 x603;
uint32_t x604;
fiat_p256_uint1 x605;
uint32_t x606;
uint32_t x607;
uint32_t x608;
uint32_t x609;
uint32_t x610;
uint32_t x611;
uint32_t x612;
uint32_t x613;
uint32_t x614;
fiat_p256_uint1 x615;
uint32_t x616;
fiat_p256_uint1 x617;
uint32_t x618;
uint32_t x619;
fiat_p256_uint1 x620;
uint32_t x621;
fiat_p256_uint1 x622;
uint32_t x623;
fiat_p256_uint1 x624;
uint32_t x625;
fiat_p256_uint1 x626;
uint32_t x627;
fiat_p256_uint1 x628;
uint32_t x629;
fiat_p256_uint1 x630;
uint32_t x631;
fiat_p256_uint1 x632;
uint32_t x633;
fiat_p256_uint1 x634;
uint32_t x635;
fiat_p256_uint1 x636;
uint32_t x637;
uint32_t x638;
fiat_p256_uint1 x639;
uint32_t x640;
fiat_p256_uint1 x641;
uint32_t x642;
fiat_p256_uint1 x643;
uint32_t x644;
fiat_p256_uint1 x645;
uint32_t x646;
fiat_p256_uint1 x647;
uint32_t x648;
fiat_p256_uint1 x649;
uint32_t x650;
fiat_p256_uint1 x651;
uint32_t x652;
fiat_p256_uint1 x653;
uint32_t x654;
fiat_p256_uint1 x655;
uint32_t x656;
uint32_t x657;
uint32_t x658;
uint32_t x659;
uint32_t x660;
uint32_t x661;
uint32_t x662;
uint32_t x663;
x1 = (arg1[1]);
x2 = (arg1[2]);
x3 = (arg1[3]);
x4 = (arg1[4]);
x5 = (arg1[5]);
x6 = (arg1[6]);
x7 = (arg1[7]);
x8 = (arg1[0]);
fiat_p256_mulx_u32(&x9, &x10, x8, (arg2[7]));
fiat_p256_mulx_u32(&x11, &x12, x8, (arg2[6]));
fiat_p256_mulx_u32(&x13, &x14, x8, (arg2[5]));
fiat_p256_mulx_u32(&x15, &x16, x8, (arg2[4]));
fiat_p256_mulx_u32(&x17, &x18, x8, (arg2[3]));
fiat_p256_mulx_u32(&x19, &x20, x8, (arg2[2]));
fiat_p256_mulx_u32(&x21, &x22, x8, (arg2[1]));
fiat_p256_mulx_u32(&x23, &x24, x8, (arg2[0]));
fiat_p256_addcarryx_u32(&x25, &x26, 0x0, x24, x21);
fiat_p256_addcarryx_u32(&x27, &x28, x26, x22, x19);
fiat_p256_addcarryx_u32(&x29, &x30, x28, x20, x17);
fiat_p256_addcarryx_u32(&x31, &x32, x30, x18, x15);
fiat_p256_addcarryx_u32(&x33, &x34, x32, x16, x13);
fiat_p256_addcarryx_u32(&x35, &x36, x34, x14, x11);
fiat_p256_addcarryx_u32(&x37, &x38, x36, x12, x9);
x39 = (x38 + x10);
fiat_p256_mulx_u32(&x40, &x41, x23, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x42, &x43, x23, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x44, &x45, x23, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x46, &x47, x23, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x48, &x49, 0x0, x47, x44);
fiat_p256_addcarryx_u32(&x50, &x51, x49, x45, x42);
x52 = (x51 + x43);
fiat_p256_addcarryx_u32(&x53, &x54, 0x0, x23, x46);
fiat_p256_addcarryx_u32(&x55, &x56, x54, x25, x48);
fiat_p256_addcarryx_u32(&x57, &x58, x56, x27, x50);
fiat_p256_addcarryx_u32(&x59, &x60, x58, x29, x52);
fiat_p256_addcarryx_u32(&x61, &x62, x60, x31, 0x0);
fiat_p256_addcarryx_u32(&x63, &x64, x62, x33, 0x0);
fiat_p256_addcarryx_u32(&x65, &x66, x64, x35, x23);
fiat_p256_addcarryx_u32(&x67, &x68, x66, x37, x40);
fiat_p256_addcarryx_u32(&x69, &x70, x68, x39, x41);
fiat_p256_mulx_u32(&x71, &x72, x1, (arg2[7]));
fiat_p256_mulx_u32(&x73, &x74, x1, (arg2[6]));
fiat_p256_mulx_u32(&x75, &x76, x1, (arg2[5]));
fiat_p256_mulx_u32(&x77, &x78, x1, (arg2[4]));
fiat_p256_mulx_u32(&x79, &x80, x1, (arg2[3]));
fiat_p256_mulx_u32(&x81, &x82, x1, (arg2[2]));
fiat_p256_mulx_u32(&x83, &x84, x1, (arg2[1]));
fiat_p256_mulx_u32(&x85, &x86, x1, (arg2[0]));
fiat_p256_addcarryx_u32(&x87, &x88, 0x0, x86, x83);
fiat_p256_addcarryx_u32(&x89, &x90, x88, x84, x81);
fiat_p256_addcarryx_u32(&x91, &x92, x90, x82, x79);
fiat_p256_addcarryx_u32(&x93, &x94, x92, x80, x77);
fiat_p256_addcarryx_u32(&x95, &x96, x94, x78, x75);
fiat_p256_addcarryx_u32(&x97, &x98, x96, x76, x73);
fiat_p256_addcarryx_u32(&x99, &x100, x98, x74, x71);
x101 = (x100 + x72);
fiat_p256_addcarryx_u32(&x102, &x103, 0x0, x55, x85);
fiat_p256_addcarryx_u32(&x104, &x105, x103, x57, x87);
fiat_p256_addcarryx_u32(&x106, &x107, x105, x59, x89);
fiat_p256_addcarryx_u32(&x108, &x109, x107, x61, x91);
fiat_p256_addcarryx_u32(&x110, &x111, x109, x63, x93);
fiat_p256_addcarryx_u32(&x112, &x113, x111, x65, x95);
fiat_p256_addcarryx_u32(&x114, &x115, x113, x67, x97);
fiat_p256_addcarryx_u32(&x116, &x117, x115, x69, x99);
fiat_p256_addcarryx_u32(&x118, &x119, x117, x70, x101);
fiat_p256_mulx_u32(&x120, &x121, x102, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x122, &x123, x102, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x124, &x125, x102, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x126, &x127, x102, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x128, &x129, 0x0, x127, x124);
fiat_p256_addcarryx_u32(&x130, &x131, x129, x125, x122);
x132 = (x131 + x123);
fiat_p256_addcarryx_u32(&x133, &x134, 0x0, x102, x126);
fiat_p256_addcarryx_u32(&x135, &x136, x134, x104, x128);
fiat_p256_addcarryx_u32(&x137, &x138, x136, x106, x130);
fiat_p256_addcarryx_u32(&x139, &x140, x138, x108, x132);
fiat_p256_addcarryx_u32(&x141, &x142, x140, x110, 0x0);
fiat_p256_addcarryx_u32(&x143, &x144, x142, x112, 0x0);
fiat_p256_addcarryx_u32(&x145, &x146, x144, x114, x102);
fiat_p256_addcarryx_u32(&x147, &x148, x146, x116, x120);
fiat_p256_addcarryx_u32(&x149, &x150, x148, x118, x121);
x151 = ((uint32_t)x150 + x119);
fiat_p256_mulx_u32(&x152, &x153, x2, (arg2[7]));
fiat_p256_mulx_u32(&x154, &x155, x2, (arg2[6]));
fiat_p256_mulx_u32(&x156, &x157, x2, (arg2[5]));
fiat_p256_mulx_u32(&x158, &x159, x2, (arg2[4]));
fiat_p256_mulx_u32(&x160, &x161, x2, (arg2[3]));
fiat_p256_mulx_u32(&x162, &x163, x2, (arg2[2]));
fiat_p256_mulx_u32(&x164, &x165, x2, (arg2[1]));
fiat_p256_mulx_u32(&x166, &x167, x2, (arg2[0]));
fiat_p256_addcarryx_u32(&x168, &x169, 0x0, x167, x164);
fiat_p256_addcarryx_u32(&x170, &x171, x169, x165, x162);
fiat_p256_addcarryx_u32(&x172, &x173, x171, x163, x160);
fiat_p256_addcarryx_u32(&x174, &x175, x173, x161, x158);
fiat_p256_addcarryx_u32(&x176, &x177, x175, x159, x156);
fiat_p256_addcarryx_u32(&x178, &x179, x177, x157, x154);
fiat_p256_addcarryx_u32(&x180, &x181, x179, x155, x152);
x182 = (x181 + x153);
fiat_p256_addcarryx_u32(&x183, &x184, 0x0, x135, x166);
fiat_p256_addcarryx_u32(&x185, &x186, x184, x137, x168);
fiat_p256_addcarryx_u32(&x187, &x188, x186, x139, x170);
fiat_p256_addcarryx_u32(&x189, &x190, x188, x141, x172);
fiat_p256_addcarryx_u32(&x191, &x192, x190, x143, x174);
fiat_p256_addcarryx_u32(&x193, &x194, x192, x145, x176);
fiat_p256_addcarryx_u32(&x195, &x196, x194, x147, x178);
fiat_p256_addcarryx_u32(&x197, &x198, x196, x149, x180);
fiat_p256_addcarryx_u32(&x199, &x200, x198, x151, x182);
fiat_p256_mulx_u32(&x201, &x202, x183, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x203, &x204, x183, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x205, &x206, x183, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x207, &x208, x183, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x209, &x210, 0x0, x208, x205);
fiat_p256_addcarryx_u32(&x211, &x212, x210, x206, x203);
x213 = (x212 + x204);
fiat_p256_addcarryx_u32(&x214, &x215, 0x0, x183, x207);
fiat_p256_addcarryx_u32(&x216, &x217, x215, x185, x209);
fiat_p256_addcarryx_u32(&x218, &x219, x217, x187, x211);
fiat_p256_addcarryx_u32(&x220, &x221, x219, x189, x213);
fiat_p256_addcarryx_u32(&x222, &x223, x221, x191, 0x0);
fiat_p256_addcarryx_u32(&x224, &x225, x223, x193, 0x0);
fiat_p256_addcarryx_u32(&x226, &x227, x225, x195, x183);
fiat_p256_addcarryx_u32(&x228, &x229, x227, x197, x201);
fiat_p256_addcarryx_u32(&x230, &x231, x229, x199, x202);
x232 = ((uint32_t)x231 + x200);
fiat_p256_mulx_u32(&x233, &x234, x3, (arg2[7]));
fiat_p256_mulx_u32(&x235, &x236, x3, (arg2[6]));
fiat_p256_mulx_u32(&x237, &x238, x3, (arg2[5]));
fiat_p256_mulx_u32(&x239, &x240, x3, (arg2[4]));
fiat_p256_mulx_u32(&x241, &x242, x3, (arg2[3]));
fiat_p256_mulx_u32(&x243, &x244, x3, (arg2[2]));
fiat_p256_mulx_u32(&x245, &x246, x3, (arg2[1]));
fiat_p256_mulx_u32(&x247, &x248, x3, (arg2[0]));
fiat_p256_addcarryx_u32(&x249, &x250, 0x0, x248, x245);
fiat_p256_addcarryx_u32(&x251, &x252, x250, x246, x243);
fiat_p256_addcarryx_u32(&x253, &x254, x252, x244, x241);
fiat_p256_addcarryx_u32(&x255, &x256, x254, x242, x239);
fiat_p256_addcarryx_u32(&x257, &x258, x256, x240, x237);
fiat_p256_addcarryx_u32(&x259, &x260, x258, x238, x235);
fiat_p256_addcarryx_u32(&x261, &x262, x260, x236, x233);
x263 = (x262 + x234);
fiat_p256_addcarryx_u32(&x264, &x265, 0x0, x216, x247);
fiat_p256_addcarryx_u32(&x266, &x267, x265, x218, x249);
fiat_p256_addcarryx_u32(&x268, &x269, x267, x220, x251);
fiat_p256_addcarryx_u32(&x270, &x271, x269, x222, x253);
fiat_p256_addcarryx_u32(&x272, &x273, x271, x224, x255);
fiat_p256_addcarryx_u32(&x274, &x275, x273, x226, x257);
fiat_p256_addcarryx_u32(&x276, &x277, x275, x228, x259);
fiat_p256_addcarryx_u32(&x278, &x279, x277, x230, x261);
fiat_p256_addcarryx_u32(&x280, &x281, x279, x232, x263);
fiat_p256_mulx_u32(&x282, &x283, x264, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x284, &x285, x264, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x286, &x287, x264, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x288, &x289, x264, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x290, &x291, 0x0, x289, x286);
fiat_p256_addcarryx_u32(&x292, &x293, x291, x287, x284);
x294 = (x293 + x285);
fiat_p256_addcarryx_u32(&x295, &x296, 0x0, x264, x288);
fiat_p256_addcarryx_u32(&x297, &x298, x296, x266, x290);
fiat_p256_addcarryx_u32(&x299, &x300, x298, x268, x292);
fiat_p256_addcarryx_u32(&x301, &x302, x300, x270, x294);
fiat_p256_addcarryx_u32(&x303, &x304, x302, x272, 0x0);
fiat_p256_addcarryx_u32(&x305, &x306, x304, x274, 0x0);
fiat_p256_addcarryx_u32(&x307, &x308, x306, x276, x264);
fiat_p256_addcarryx_u32(&x309, &x310, x308, x278, x282);
fiat_p256_addcarryx_u32(&x311, &x312, x310, x280, x283);
x313 = ((uint32_t)x312 + x281);
fiat_p256_mulx_u32(&x314, &x315, x4, (arg2[7]));
fiat_p256_mulx_u32(&x316, &x317, x4, (arg2[6]));
fiat_p256_mulx_u32(&x318, &x319, x4, (arg2[5]));
fiat_p256_mulx_u32(&x320, &x321, x4, (arg2[4]));
fiat_p256_mulx_u32(&x322, &x323, x4, (arg2[3]));
fiat_p256_mulx_u32(&x324, &x325, x4, (arg2[2]));
fiat_p256_mulx_u32(&x326, &x327, x4, (arg2[1]));
fiat_p256_mulx_u32(&x328, &x329, x4, (arg2[0]));
fiat_p256_addcarryx_u32(&x330, &x331, 0x0, x329, x326);
fiat_p256_addcarryx_u32(&x332, &x333, x331, x327, x324);
fiat_p256_addcarryx_u32(&x334, &x335, x333, x325, x322);
fiat_p256_addcarryx_u32(&x336, &x337, x335, x323, x320);
fiat_p256_addcarryx_u32(&x338, &x339, x337, x321, x318);
fiat_p256_addcarryx_u32(&x340, &x341, x339, x319, x316);
fiat_p256_addcarryx_u32(&x342, &x343, x341, x317, x314);
x344 = (x343 + x315);
fiat_p256_addcarryx_u32(&x345, &x346, 0x0, x297, x328);
fiat_p256_addcarryx_u32(&x347, &x348, x346, x299, x330);
fiat_p256_addcarryx_u32(&x349, &x350, x348, x301, x332);
fiat_p256_addcarryx_u32(&x351, &x352, x350, x303, x334);
fiat_p256_addcarryx_u32(&x353, &x354, x352, x305, x336);
fiat_p256_addcarryx_u32(&x355, &x356, x354, x307, x338);
fiat_p256_addcarryx_u32(&x357, &x358, x356, x309, x340);
fiat_p256_addcarryx_u32(&x359, &x360, x358, x311, x342);
fiat_p256_addcarryx_u32(&x361, &x362, x360, x313, x344);
fiat_p256_mulx_u32(&x363, &x364, x345, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x365, &x366, x345, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x367, &x368, x345, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x369, &x370, x345, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x371, &x372, 0x0, x370, x367);
fiat_p256_addcarryx_u32(&x373, &x374, x372, x368, x365);
x375 = (x374 + x366);
fiat_p256_addcarryx_u32(&x376, &x377, 0x0, x345, x369);
fiat_p256_addcarryx_u32(&x378, &x379, x377, x347, x371);
fiat_p256_addcarryx_u32(&x380, &x381, x379, x349, x373);
fiat_p256_addcarryx_u32(&x382, &x383, x381, x351, x375);
fiat_p256_addcarryx_u32(&x384, &x385, x383, x353, 0x0);
fiat_p256_addcarryx_u32(&x386, &x387, x385, x355, 0x0);
fiat_p256_addcarryx_u32(&x388, &x389, x387, x357, x345);
fiat_p256_addcarryx_u32(&x390, &x391, x389, x359, x363);
fiat_p256_addcarryx_u32(&x392, &x393, x391, x361, x364);
x394 = ((uint32_t)x393 + x362);
fiat_p256_mulx_u32(&x395, &x396, x5, (arg2[7]));
fiat_p256_mulx_u32(&x397, &x398, x5, (arg2[6]));
fiat_p256_mulx_u32(&x399, &x400, x5, (arg2[5]));
fiat_p256_mulx_u32(&x401, &x402, x5, (arg2[4]));
fiat_p256_mulx_u32(&x403, &x404, x5, (arg2[3]));
fiat_p256_mulx_u32(&x405, &x406, x5, (arg2[2]));
fiat_p256_mulx_u32(&x407, &x408, x5, (arg2[1]));
fiat_p256_mulx_u32(&x409, &x410, x5, (arg2[0]));
fiat_p256_addcarryx_u32(&x411, &x412, 0x0, x410, x407);
fiat_p256_addcarryx_u32(&x413, &x414, x412, x408, x405);
fiat_p256_addcarryx_u32(&x415, &x416, x414, x406, x403);
fiat_p256_addcarryx_u32(&x417, &x418, x416, x404, x401);
fiat_p256_addcarryx_u32(&x419, &x420, x418, x402, x399);
fiat_p256_addcarryx_u32(&x421, &x422, x420, x400, x397);
fiat_p256_addcarryx_u32(&x423, &x424, x422, x398, x395);
x425 = (x424 + x396);
fiat_p256_addcarryx_u32(&x426, &x427, 0x0, x378, x409);
fiat_p256_addcarryx_u32(&x428, &x429, x427, x380, x411);
fiat_p256_addcarryx_u32(&x430, &x431, x429, x382, x413);
fiat_p256_addcarryx_u32(&x432, &x433, x431, x384, x415);
fiat_p256_addcarryx_u32(&x434, &x435, x433, x386, x417);
fiat_p256_addcarryx_u32(&x436, &x437, x435, x388, x419);
fiat_p256_addcarryx_u32(&x438, &x439, x437, x390, x421);
fiat_p256_addcarryx_u32(&x440, &x441, x439, x392, x423);
fiat_p256_addcarryx_u32(&x442, &x443, x441, x394, x425);
fiat_p256_mulx_u32(&x444, &x445, x426, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x446, &x447, x426, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x448, &x449, x426, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x450, &x451, x426, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x452, &x453, 0x0, x451, x448);
fiat_p256_addcarryx_u32(&x454, &x455, x453, x449, x446);
x456 = (x455 + x447);
fiat_p256_addcarryx_u32(&x457, &x458, 0x0, x426, x450);
fiat_p256_addcarryx_u32(&x459, &x460, x458, x428, x452);
fiat_p256_addcarryx_u32(&x461, &x462, x460, x430, x454);
fiat_p256_addcarryx_u32(&x463, &x464, x462, x432, x456);
fiat_p256_addcarryx_u32(&x465, &x466, x464, x434, 0x0);
fiat_p256_addcarryx_u32(&x467, &x468, x466, x436, 0x0);
fiat_p256_addcarryx_u32(&x469, &x470, x468, x438, x426);
fiat_p256_addcarryx_u32(&x471, &x472, x470, x440, x444);
fiat_p256_addcarryx_u32(&x473, &x474, x472, x442, x445);
x475 = ((uint32_t)x474 + x443);
fiat_p256_mulx_u32(&x476, &x477, x6, (arg2[7]));
fiat_p256_mulx_u32(&x478, &x479, x6, (arg2[6]));
fiat_p256_mulx_u32(&x480, &x481, x6, (arg2[5]));
fiat_p256_mulx_u32(&x482, &x483, x6, (arg2[4]));
fiat_p256_mulx_u32(&x484, &x485, x6, (arg2[3]));
fiat_p256_mulx_u32(&x486, &x487, x6, (arg2[2]));
fiat_p256_mulx_u32(&x488, &x489, x6, (arg2[1]));
fiat_p256_mulx_u32(&x490, &x491, x6, (arg2[0]));
fiat_p256_addcarryx_u32(&x492, &x493, 0x0, x491, x488);
fiat_p256_addcarryx_u32(&x494, &x495, x493, x489, x486);
fiat_p256_addcarryx_u32(&x496, &x497, x495, x487, x484);
fiat_p256_addcarryx_u32(&x498, &x499, x497, x485, x482);
fiat_p256_addcarryx_u32(&x500, &x501, x499, x483, x480);
fiat_p256_addcarryx_u32(&x502, &x503, x501, x481, x478);
fiat_p256_addcarryx_u32(&x504, &x505, x503, x479, x476);
x506 = (x505 + x477);
fiat_p256_addcarryx_u32(&x507, &x508, 0x0, x459, x490);
fiat_p256_addcarryx_u32(&x509, &x510, x508, x461, x492);
fiat_p256_addcarryx_u32(&x511, &x512, x510, x463, x494);
fiat_p256_addcarryx_u32(&x513, &x514, x512, x465, x496);
fiat_p256_addcarryx_u32(&x515, &x516, x514, x467, x498);
fiat_p256_addcarryx_u32(&x517, &x518, x516, x469, x500);
fiat_p256_addcarryx_u32(&x519, &x520, x518, x471, x502);
fiat_p256_addcarryx_u32(&x521, &x522, x520, x473, x504);
fiat_p256_addcarryx_u32(&x523, &x524, x522, x475, x506);
fiat_p256_mulx_u32(&x525, &x526, x507, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x527, &x528, x507, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x529, &x530, x507, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x531, &x532, x507, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x533, &x534, 0x0, x532, x529);
fiat_p256_addcarryx_u32(&x535, &x536, x534, x530, x527);
x537 = (x536 + x528);
fiat_p256_addcarryx_u32(&x538, &x539, 0x0, x507, x531);
fiat_p256_addcarryx_u32(&x540, &x541, x539, x509, x533);
fiat_p256_addcarryx_u32(&x542, &x543, x541, x511, x535);
fiat_p256_addcarryx_u32(&x544, &x545, x543, x513, x537);
fiat_p256_addcarryx_u32(&x546, &x547, x545, x515, 0x0);
fiat_p256_addcarryx_u32(&x548, &x549, x547, x517, 0x0);
fiat_p256_addcarryx_u32(&x550, &x551, x549, x519, x507);
fiat_p256_addcarryx_u32(&x552, &x553, x551, x521, x525);
fiat_p256_addcarryx_u32(&x554, &x555, x553, x523, x526);
x556 = ((uint32_t)x555 + x524);
fiat_p256_mulx_u32(&x557, &x558, x7, (arg2[7]));
fiat_p256_mulx_u32(&x559, &x560, x7, (arg2[6]));
fiat_p256_mulx_u32(&x561, &x562, x7, (arg2[5]));
fiat_p256_mulx_u32(&x563, &x564, x7, (arg2[4]));
fiat_p256_mulx_u32(&x565, &x566, x7, (arg2[3]));
fiat_p256_mulx_u32(&x567, &x568, x7, (arg2[2]));
fiat_p256_mulx_u32(&x569, &x570, x7, (arg2[1]));
fiat_p256_mulx_u32(&x571, &x572, x7, (arg2[0]));
fiat_p256_addcarryx_u32(&x573, &x574, 0x0, x572, x569);
fiat_p256_addcarryx_u32(&x575, &x576, x574, x570, x567);
fiat_p256_addcarryx_u32(&x577, &x578, x576, x568, x565);
fiat_p256_addcarryx_u32(&x579, &x580, x578, x566, x563);
fiat_p256_addcarryx_u32(&x581, &x582, x580, x564, x561);
fiat_p256_addcarryx_u32(&x583, &x584, x582, x562, x559);
fiat_p256_addcarryx_u32(&x585, &x586, x584, x560, x557);
x587 = (x586 + x558);
fiat_p256_addcarryx_u32(&x588, &x589, 0x0, x540, x571);
fiat_p256_addcarryx_u32(&x590, &x591, x589, x542, x573);
fiat_p256_addcarryx_u32(&x592, &x593, x591, x544, x575);
fiat_p256_addcarryx_u32(&x594, &x595, x593, x546, x577);
fiat_p256_addcarryx_u32(&x596, &x597, x595, x548, x579);
fiat_p256_addcarryx_u32(&x598, &x599, x597, x550, x581);
fiat_p256_addcarryx_u32(&x600, &x601, x599, x552, x583);
fiat_p256_addcarryx_u32(&x602, &x603, x601, x554, x585);
fiat_p256_addcarryx_u32(&x604, &x605, x603, x556, x587);
fiat_p256_mulx_u32(&x606, &x607, x588, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x608, &x609, x588, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x610, &x611, x588, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x612, &x613, x588, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x614, &x615, 0x0, x613, x610);
fiat_p256_addcarryx_u32(&x616, &x617, x615, x611, x608);
x618 = (x617 + x609);
fiat_p256_addcarryx_u32(&x619, &x620, 0x0, x588, x612);
fiat_p256_addcarryx_u32(&x621, &x622, x620, x590, x614);
fiat_p256_addcarryx_u32(&x623, &x624, x622, x592, x616);
fiat_p256_addcarryx_u32(&x625, &x626, x624, x594, x618);
fiat_p256_addcarryx_u32(&x627, &x628, x626, x596, 0x0);
fiat_p256_addcarryx_u32(&x629, &x630, x628, x598, 0x0);
fiat_p256_addcarryx_u32(&x631, &x632, x630, x600, x588);
fiat_p256_addcarryx_u32(&x633, &x634, x632, x602, x606);
fiat_p256_addcarryx_u32(&x635, &x636, x634, x604, x607);
x637 = ((uint32_t)x636 + x605);
fiat_p256_subborrowx_u32(&x638, &x639, 0x0, x621, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x640, &x641, x639, x623, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x642, &x643, x641, x625, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x644, &x645, x643, x627, 0x0);
fiat_p256_subborrowx_u32(&x646, &x647, x645, x629, 0x0);
fiat_p256_subborrowx_u32(&x648, &x649, x647, x631, 0x0);
fiat_p256_subborrowx_u32(&x650, &x651, x649, x633, 0x1);
fiat_p256_subborrowx_u32(&x652, &x653, x651, x635, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x654, &x655, x653, x637, 0x0);
fiat_p256_cmovznz_u32(&x656, x655, x638, x621);
fiat_p256_cmovznz_u32(&x657, x655, x640, x623);
fiat_p256_cmovznz_u32(&x658, x655, x642, x625);
fiat_p256_cmovznz_u32(&x659, x655, x644, x627);
fiat_p256_cmovznz_u32(&x660, x655, x646, x629);
fiat_p256_cmovznz_u32(&x661, x655, x648, x631);
fiat_p256_cmovznz_u32(&x662, x655, x650, x633);
fiat_p256_cmovznz_u32(&x663, x655, x652, x635);
out1[0] = x656;
out1[1] = x657;
out1[2] = x658;
out1[3] = x659;
out1[4] = x660;
out1[5] = x661;
out1[6] = x662;
out1[7] = x663;
}
/*
* The function fiat_p256_square squares a field element in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_square(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
uint32_t x11;
uint32_t x12;
uint32_t x13;
uint32_t x14;
uint32_t x15;
uint32_t x16;
uint32_t x17;
uint32_t x18;
uint32_t x19;
uint32_t x20;
uint32_t x21;
uint32_t x22;
uint32_t x23;
uint32_t x24;
uint32_t x25;
fiat_p256_uint1 x26;
uint32_t x27;
fiat_p256_uint1 x28;
uint32_t x29;
fiat_p256_uint1 x30;
uint32_t x31;
fiat_p256_uint1 x32;
uint32_t x33;
fiat_p256_uint1 x34;
uint32_t x35;
fiat_p256_uint1 x36;
uint32_t x37;
fiat_p256_uint1 x38;
uint32_t x39;
uint32_t x40;
uint32_t x41;
uint32_t x42;
uint32_t x43;
uint32_t x44;
uint32_t x45;
uint32_t x46;
uint32_t x47;
uint32_t x48;
fiat_p256_uint1 x49;
uint32_t x50;
fiat_p256_uint1 x51;
uint32_t x52;
uint32_t x53;
fiat_p256_uint1 x54;
uint32_t x55;
fiat_p256_uint1 x56;
uint32_t x57;
fiat_p256_uint1 x58;
uint32_t x59;
fiat_p256_uint1 x60;
uint32_t x61;
fiat_p256_uint1 x62;
uint32_t x63;
fiat_p256_uint1 x64;
uint32_t x65;
fiat_p256_uint1 x66;
uint32_t x67;
fiat_p256_uint1 x68;
uint32_t x69;
fiat_p256_uint1 x70;
uint32_t x71;
uint32_t x72;
uint32_t x73;
uint32_t x74;
uint32_t x75;
uint32_t x76;
uint32_t x77;
uint32_t x78;
uint32_t x79;
uint32_t x80;
uint32_t x81;
uint32_t x82;
uint32_t x83;
uint32_t x84;
uint32_t x85;
uint32_t x86;
uint32_t x87;
fiat_p256_uint1 x88;
uint32_t x89;
fiat_p256_uint1 x90;
uint32_t x91;
fiat_p256_uint1 x92;
uint32_t x93;
fiat_p256_uint1 x94;
uint32_t x95;
fiat_p256_uint1 x96;
uint32_t x97;
fiat_p256_uint1 x98;
uint32_t x99;
fiat_p256_uint1 x100;
uint32_t x101;
uint32_t x102;
fiat_p256_uint1 x103;
uint32_t x104;
fiat_p256_uint1 x105;
uint32_t x106;
fiat_p256_uint1 x107;
uint32_t x108;
fiat_p256_uint1 x109;
uint32_t x110;
fiat_p256_uint1 x111;
uint32_t x112;
fiat_p256_uint1 x113;
uint32_t x114;
fiat_p256_uint1 x115;
uint32_t x116;
fiat_p256_uint1 x117;
uint32_t x118;
fiat_p256_uint1 x119;
uint32_t x120;
uint32_t x121;
uint32_t x122;
uint32_t x123;
uint32_t x124;
uint32_t x125;
uint32_t x126;
uint32_t x127;
uint32_t x128;
fiat_p256_uint1 x129;
uint32_t x130;
fiat_p256_uint1 x131;
uint32_t x132;
uint32_t x133;
fiat_p256_uint1 x134;
uint32_t x135;
fiat_p256_uint1 x136;
uint32_t x137;
fiat_p256_uint1 x138;
uint32_t x139;
fiat_p256_uint1 x140;
uint32_t x141;
fiat_p256_uint1 x142;
uint32_t x143;
fiat_p256_uint1 x144;
uint32_t x145;
fiat_p256_uint1 x146;
uint32_t x147;
fiat_p256_uint1 x148;
uint32_t x149;
fiat_p256_uint1 x150;
uint32_t x151;
uint32_t x152;
uint32_t x153;
uint32_t x154;
uint32_t x155;
uint32_t x156;
uint32_t x157;
uint32_t x158;
uint32_t x159;
uint32_t x160;
uint32_t x161;
uint32_t x162;
uint32_t x163;
uint32_t x164;
uint32_t x165;
uint32_t x166;
uint32_t x167;
uint32_t x168;
fiat_p256_uint1 x169;
uint32_t x170;
fiat_p256_uint1 x171;
uint32_t x172;
fiat_p256_uint1 x173;
uint32_t x174;
fiat_p256_uint1 x175;
uint32_t x176;
fiat_p256_uint1 x177;
uint32_t x178;
fiat_p256_uint1 x179;
uint32_t x180;
fiat_p256_uint1 x181;
uint32_t x182;
uint32_t x183;
fiat_p256_uint1 x184;
uint32_t x185;
fiat_p256_uint1 x186;
uint32_t x187;
fiat_p256_uint1 x188;
uint32_t x189;
fiat_p256_uint1 x190;
uint32_t x191;
fiat_p256_uint1 x192;
uint32_t x193;
fiat_p256_uint1 x194;
uint32_t x195;
fiat_p256_uint1 x196;
uint32_t x197;
fiat_p256_uint1 x198;
uint32_t x199;
fiat_p256_uint1 x200;
uint32_t x201;
uint32_t x202;
uint32_t x203;
uint32_t x204;
uint32_t x205;
uint32_t x206;
uint32_t x207;
uint32_t x208;
uint32_t x209;
fiat_p256_uint1 x210;
uint32_t x211;
fiat_p256_uint1 x212;
uint32_t x213;
uint32_t x214;
fiat_p256_uint1 x215;
uint32_t x216;
fiat_p256_uint1 x217;
uint32_t x218;
fiat_p256_uint1 x219;
uint32_t x220;
fiat_p256_uint1 x221;
uint32_t x222;
fiat_p256_uint1 x223;
uint32_t x224;
fiat_p256_uint1 x225;
uint32_t x226;
fiat_p256_uint1 x227;
uint32_t x228;
fiat_p256_uint1 x229;
uint32_t x230;
fiat_p256_uint1 x231;
uint32_t x232;
uint32_t x233;
uint32_t x234;
uint32_t x235;
uint32_t x236;
uint32_t x237;
uint32_t x238;
uint32_t x239;
uint32_t x240;
uint32_t x241;
uint32_t x242;
uint32_t x243;
uint32_t x244;
uint32_t x245;
uint32_t x246;
uint32_t x247;
uint32_t x248;
uint32_t x249;
fiat_p256_uint1 x250;
uint32_t x251;
fiat_p256_uint1 x252;
uint32_t x253;
fiat_p256_uint1 x254;
uint32_t x255;
fiat_p256_uint1 x256;
uint32_t x257;
fiat_p256_uint1 x258;
uint32_t x259;
fiat_p256_uint1 x260;
uint32_t x261;
fiat_p256_uint1 x262;
uint32_t x263;
uint32_t x264;
fiat_p256_uint1 x265;
uint32_t x266;
fiat_p256_uint1 x267;
uint32_t x268;
fiat_p256_uint1 x269;
uint32_t x270;
fiat_p256_uint1 x271;
uint32_t x272;
fiat_p256_uint1 x273;
uint32_t x274;
fiat_p256_uint1 x275;
uint32_t x276;
fiat_p256_uint1 x277;
uint32_t x278;
fiat_p256_uint1 x279;
uint32_t x280;
fiat_p256_uint1 x281;
uint32_t x282;
uint32_t x283;
uint32_t x284;
uint32_t x285;
uint32_t x286;
uint32_t x287;
uint32_t x288;
uint32_t x289;
uint32_t x290;
fiat_p256_uint1 x291;
uint32_t x292;
fiat_p256_uint1 x293;
uint32_t x294;
uint32_t x295;
fiat_p256_uint1 x296;
uint32_t x297;
fiat_p256_uint1 x298;
uint32_t x299;
fiat_p256_uint1 x300;
uint32_t x301;
fiat_p256_uint1 x302;
uint32_t x303;
fiat_p256_uint1 x304;
uint32_t x305;
fiat_p256_uint1 x306;
uint32_t x307;
fiat_p256_uint1 x308;
uint32_t x309;
fiat_p256_uint1 x310;
uint32_t x311;
fiat_p256_uint1 x312;
uint32_t x313;
uint32_t x314;
uint32_t x315;
uint32_t x316;
uint32_t x317;
uint32_t x318;
uint32_t x319;
uint32_t x320;
uint32_t x321;
uint32_t x322;
uint32_t x323;
uint32_t x324;
uint32_t x325;
uint32_t x326;
uint32_t x327;
uint32_t x328;
uint32_t x329;
uint32_t x330;
fiat_p256_uint1 x331;
uint32_t x332;
fiat_p256_uint1 x333;
uint32_t x334;
fiat_p256_uint1 x335;
uint32_t x336;
fiat_p256_uint1 x337;
uint32_t x338;
fiat_p256_uint1 x339;
uint32_t x340;
fiat_p256_uint1 x341;
uint32_t x342;
fiat_p256_uint1 x343;
uint32_t x344;
uint32_t x345;
fiat_p256_uint1 x346;
uint32_t x347;
fiat_p256_uint1 x348;
uint32_t x349;
fiat_p256_uint1 x350;
uint32_t x351;
fiat_p256_uint1 x352;
uint32_t x353;
fiat_p256_uint1 x354;
uint32_t x355;
fiat_p256_uint1 x356;
uint32_t x357;
fiat_p256_uint1 x358;
uint32_t x359;
fiat_p256_uint1 x360;
uint32_t x361;
fiat_p256_uint1 x362;
uint32_t x363;
uint32_t x364;
uint32_t x365;
uint32_t x366;
uint32_t x367;
uint32_t x368;
uint32_t x369;
uint32_t x370;
uint32_t x371;
fiat_p256_uint1 x372;
uint32_t x373;
fiat_p256_uint1 x374;
uint32_t x375;
uint32_t x376;
fiat_p256_uint1 x377;
uint32_t x378;
fiat_p256_uint1 x379;
uint32_t x380;
fiat_p256_uint1 x381;
uint32_t x382;
fiat_p256_uint1 x383;
uint32_t x384;
fiat_p256_uint1 x385;
uint32_t x386;
fiat_p256_uint1 x387;
uint32_t x388;
fiat_p256_uint1 x389;
uint32_t x390;
fiat_p256_uint1 x391;
uint32_t x392;
fiat_p256_uint1 x393;
uint32_t x394;
uint32_t x395;
uint32_t x396;
uint32_t x397;
uint32_t x398;
uint32_t x399;
uint32_t x400;
uint32_t x401;
uint32_t x402;
uint32_t x403;
uint32_t x404;
uint32_t x405;
uint32_t x406;
uint32_t x407;
uint32_t x408;
uint32_t x409;
uint32_t x410;
uint32_t x411;
fiat_p256_uint1 x412;
uint32_t x413;
fiat_p256_uint1 x414;
uint32_t x415;
fiat_p256_uint1 x416;
uint32_t x417;
fiat_p256_uint1 x418;
uint32_t x419;
fiat_p256_uint1 x420;
uint32_t x421;
fiat_p256_uint1 x422;
uint32_t x423;
fiat_p256_uint1 x424;
uint32_t x425;
uint32_t x426;
fiat_p256_uint1 x427;
uint32_t x428;
fiat_p256_uint1 x429;
uint32_t x430;
fiat_p256_uint1 x431;
uint32_t x432;
fiat_p256_uint1 x433;
uint32_t x434;
fiat_p256_uint1 x435;
uint32_t x436;
fiat_p256_uint1 x437;
uint32_t x438;
fiat_p256_uint1 x439;
uint32_t x440;
fiat_p256_uint1 x441;
uint32_t x442;
fiat_p256_uint1 x443;
uint32_t x444;
uint32_t x445;
uint32_t x446;
uint32_t x447;
uint32_t x448;
uint32_t x449;
uint32_t x450;
uint32_t x451;
uint32_t x452;
fiat_p256_uint1 x453;
uint32_t x454;
fiat_p256_uint1 x455;
uint32_t x456;
uint32_t x457;
fiat_p256_uint1 x458;
uint32_t x459;
fiat_p256_uint1 x460;
uint32_t x461;
fiat_p256_uint1 x462;
uint32_t x463;
fiat_p256_uint1 x464;
uint32_t x465;
fiat_p256_uint1 x466;
uint32_t x467;
fiat_p256_uint1 x468;
uint32_t x469;
fiat_p256_uint1 x470;
uint32_t x471;
fiat_p256_uint1 x472;
uint32_t x473;
fiat_p256_uint1 x474;
uint32_t x475;
uint32_t x476;
uint32_t x477;
uint32_t x478;
uint32_t x479;
uint32_t x480;
uint32_t x481;
uint32_t x482;
uint32_t x483;
uint32_t x484;
uint32_t x485;
uint32_t x486;
uint32_t x487;
uint32_t x488;
uint32_t x489;
uint32_t x490;
uint32_t x491;
uint32_t x492;
fiat_p256_uint1 x493;
uint32_t x494;
fiat_p256_uint1 x495;
uint32_t x496;
fiat_p256_uint1 x497;
uint32_t x498;
fiat_p256_uint1 x499;
uint32_t x500;
fiat_p256_uint1 x501;
uint32_t x502;
fiat_p256_uint1 x503;
uint32_t x504;
fiat_p256_uint1 x505;
uint32_t x506;
uint32_t x507;
fiat_p256_uint1 x508;
uint32_t x509;
fiat_p256_uint1 x510;
uint32_t x511;
fiat_p256_uint1 x512;
uint32_t x513;
fiat_p256_uint1 x514;
uint32_t x515;
fiat_p256_uint1 x516;
uint32_t x517;
fiat_p256_uint1 x518;
uint32_t x519;
fiat_p256_uint1 x520;
uint32_t x521;
fiat_p256_uint1 x522;
uint32_t x523;
fiat_p256_uint1 x524;
uint32_t x525;
uint32_t x526;
uint32_t x527;
uint32_t x528;
uint32_t x529;
uint32_t x530;
uint32_t x531;
uint32_t x532;
uint32_t x533;
fiat_p256_uint1 x534;
uint32_t x535;
fiat_p256_uint1 x536;
uint32_t x537;
uint32_t x538;
fiat_p256_uint1 x539;
uint32_t x540;
fiat_p256_uint1 x541;
uint32_t x542;
fiat_p256_uint1 x543;
uint32_t x544;
fiat_p256_uint1 x545;
uint32_t x546;
fiat_p256_uint1 x547;
uint32_t x548;
fiat_p256_uint1 x549;
uint32_t x550;
fiat_p256_uint1 x551;
uint32_t x552;
fiat_p256_uint1 x553;
uint32_t x554;
fiat_p256_uint1 x555;
uint32_t x556;
uint32_t x557;
uint32_t x558;
uint32_t x559;
uint32_t x560;
uint32_t x561;
uint32_t x562;
uint32_t x563;
uint32_t x564;
uint32_t x565;
uint32_t x566;
uint32_t x567;
uint32_t x568;
uint32_t x569;
uint32_t x570;
uint32_t x571;
uint32_t x572;
uint32_t x573;
fiat_p256_uint1 x574;
uint32_t x575;
fiat_p256_uint1 x576;
uint32_t x577;
fiat_p256_uint1 x578;
uint32_t x579;
fiat_p256_uint1 x580;
uint32_t x581;
fiat_p256_uint1 x582;
uint32_t x583;
fiat_p256_uint1 x584;
uint32_t x585;
fiat_p256_uint1 x586;
uint32_t x587;
uint32_t x588;
fiat_p256_uint1 x589;
uint32_t x590;
fiat_p256_uint1 x591;
uint32_t x592;
fiat_p256_uint1 x593;
uint32_t x594;
fiat_p256_uint1 x595;
uint32_t x596;
fiat_p256_uint1 x597;
uint32_t x598;
fiat_p256_uint1 x599;
uint32_t x600;
fiat_p256_uint1 x601;
uint32_t x602;
fiat_p256_uint1 x603;
uint32_t x604;
fiat_p256_uint1 x605;
uint32_t x606;
uint32_t x607;
uint32_t x608;
uint32_t x609;
uint32_t x610;
uint32_t x611;
uint32_t x612;
uint32_t x613;
uint32_t x614;
fiat_p256_uint1 x615;
uint32_t x616;
fiat_p256_uint1 x617;
uint32_t x618;
uint32_t x619;
fiat_p256_uint1 x620;
uint32_t x621;
fiat_p256_uint1 x622;
uint32_t x623;
fiat_p256_uint1 x624;
uint32_t x625;
fiat_p256_uint1 x626;
uint32_t x627;
fiat_p256_uint1 x628;
uint32_t x629;
fiat_p256_uint1 x630;
uint32_t x631;
fiat_p256_uint1 x632;
uint32_t x633;
fiat_p256_uint1 x634;
uint32_t x635;
fiat_p256_uint1 x636;
uint32_t x637;
uint32_t x638;
fiat_p256_uint1 x639;
uint32_t x640;
fiat_p256_uint1 x641;
uint32_t x642;
fiat_p256_uint1 x643;
uint32_t x644;
fiat_p256_uint1 x645;
uint32_t x646;
fiat_p256_uint1 x647;
uint32_t x648;
fiat_p256_uint1 x649;
uint32_t x650;
fiat_p256_uint1 x651;
uint32_t x652;
fiat_p256_uint1 x653;
uint32_t x654;
fiat_p256_uint1 x655;
uint32_t x656;
uint32_t x657;
uint32_t x658;
uint32_t x659;
uint32_t x660;
uint32_t x661;
uint32_t x662;
uint32_t x663;
x1 = (arg1[1]);
x2 = (arg1[2]);
x3 = (arg1[3]);
x4 = (arg1[4]);
x5 = (arg1[5]);
x6 = (arg1[6]);
x7 = (arg1[7]);
x8 = (arg1[0]);
fiat_p256_mulx_u32(&x9, &x10, x8, (arg1[7]));
fiat_p256_mulx_u32(&x11, &x12, x8, (arg1[6]));
fiat_p256_mulx_u32(&x13, &x14, x8, (arg1[5]));
fiat_p256_mulx_u32(&x15, &x16, x8, (arg1[4]));
fiat_p256_mulx_u32(&x17, &x18, x8, (arg1[3]));
fiat_p256_mulx_u32(&x19, &x20, x8, (arg1[2]));
fiat_p256_mulx_u32(&x21, &x22, x8, (arg1[1]));
fiat_p256_mulx_u32(&x23, &x24, x8, (arg1[0]));
fiat_p256_addcarryx_u32(&x25, &x26, 0x0, x24, x21);
fiat_p256_addcarryx_u32(&x27, &x28, x26, x22, x19);
fiat_p256_addcarryx_u32(&x29, &x30, x28, x20, x17);
fiat_p256_addcarryx_u32(&x31, &x32, x30, x18, x15);
fiat_p256_addcarryx_u32(&x33, &x34, x32, x16, x13);
fiat_p256_addcarryx_u32(&x35, &x36, x34, x14, x11);
fiat_p256_addcarryx_u32(&x37, &x38, x36, x12, x9);
x39 = (x38 + x10);
fiat_p256_mulx_u32(&x40, &x41, x23, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x42, &x43, x23, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x44, &x45, x23, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x46, &x47, x23, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x48, &x49, 0x0, x47, x44);
fiat_p256_addcarryx_u32(&x50, &x51, x49, x45, x42);
x52 = (x51 + x43);
fiat_p256_addcarryx_u32(&x53, &x54, 0x0, x23, x46);
fiat_p256_addcarryx_u32(&x55, &x56, x54, x25, x48);
fiat_p256_addcarryx_u32(&x57, &x58, x56, x27, x50);
fiat_p256_addcarryx_u32(&x59, &x60, x58, x29, x52);
fiat_p256_addcarryx_u32(&x61, &x62, x60, x31, 0x0);
fiat_p256_addcarryx_u32(&x63, &x64, x62, x33, 0x0);
fiat_p256_addcarryx_u32(&x65, &x66, x64, x35, x23);
fiat_p256_addcarryx_u32(&x67, &x68, x66, x37, x40);
fiat_p256_addcarryx_u32(&x69, &x70, x68, x39, x41);
fiat_p256_mulx_u32(&x71, &x72, x1, (arg1[7]));
fiat_p256_mulx_u32(&x73, &x74, x1, (arg1[6]));
fiat_p256_mulx_u32(&x75, &x76, x1, (arg1[5]));
fiat_p256_mulx_u32(&x77, &x78, x1, (arg1[4]));
fiat_p256_mulx_u32(&x79, &x80, x1, (arg1[3]));
fiat_p256_mulx_u32(&x81, &x82, x1, (arg1[2]));
fiat_p256_mulx_u32(&x83, &x84, x1, (arg1[1]));
fiat_p256_mulx_u32(&x85, &x86, x1, (arg1[0]));
fiat_p256_addcarryx_u32(&x87, &x88, 0x0, x86, x83);
fiat_p256_addcarryx_u32(&x89, &x90, x88, x84, x81);
fiat_p256_addcarryx_u32(&x91, &x92, x90, x82, x79);
fiat_p256_addcarryx_u32(&x93, &x94, x92, x80, x77);
fiat_p256_addcarryx_u32(&x95, &x96, x94, x78, x75);
fiat_p256_addcarryx_u32(&x97, &x98, x96, x76, x73);
fiat_p256_addcarryx_u32(&x99, &x100, x98, x74, x71);
x101 = (x100 + x72);
fiat_p256_addcarryx_u32(&x102, &x103, 0x0, x55, x85);
fiat_p256_addcarryx_u32(&x104, &x105, x103, x57, x87);
fiat_p256_addcarryx_u32(&x106, &x107, x105, x59, x89);
fiat_p256_addcarryx_u32(&x108, &x109, x107, x61, x91);
fiat_p256_addcarryx_u32(&x110, &x111, x109, x63, x93);
fiat_p256_addcarryx_u32(&x112, &x113, x111, x65, x95);
fiat_p256_addcarryx_u32(&x114, &x115, x113, x67, x97);
fiat_p256_addcarryx_u32(&x116, &x117, x115, x69, x99);
fiat_p256_addcarryx_u32(&x118, &x119, x117, x70, x101);
fiat_p256_mulx_u32(&x120, &x121, x102, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x122, &x123, x102, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x124, &x125, x102, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x126, &x127, x102, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x128, &x129, 0x0, x127, x124);
fiat_p256_addcarryx_u32(&x130, &x131, x129, x125, x122);
x132 = (x131 + x123);
fiat_p256_addcarryx_u32(&x133, &x134, 0x0, x102, x126);
fiat_p256_addcarryx_u32(&x135, &x136, x134, x104, x128);
fiat_p256_addcarryx_u32(&x137, &x138, x136, x106, x130);
fiat_p256_addcarryx_u32(&x139, &x140, x138, x108, x132);
fiat_p256_addcarryx_u32(&x141, &x142, x140, x110, 0x0);
fiat_p256_addcarryx_u32(&x143, &x144, x142, x112, 0x0);
fiat_p256_addcarryx_u32(&x145, &x146, x144, x114, x102);
fiat_p256_addcarryx_u32(&x147, &x148, x146, x116, x120);
fiat_p256_addcarryx_u32(&x149, &x150, x148, x118, x121);
x151 = ((uint32_t)x150 + x119);
fiat_p256_mulx_u32(&x152, &x153, x2, (arg1[7]));
fiat_p256_mulx_u32(&x154, &x155, x2, (arg1[6]));
fiat_p256_mulx_u32(&x156, &x157, x2, (arg1[5]));
fiat_p256_mulx_u32(&x158, &x159, x2, (arg1[4]));
fiat_p256_mulx_u32(&x160, &x161, x2, (arg1[3]));
fiat_p256_mulx_u32(&x162, &x163, x2, (arg1[2]));
fiat_p256_mulx_u32(&x164, &x165, x2, (arg1[1]));
fiat_p256_mulx_u32(&x166, &x167, x2, (arg1[0]));
fiat_p256_addcarryx_u32(&x168, &x169, 0x0, x167, x164);
fiat_p256_addcarryx_u32(&x170, &x171, x169, x165, x162);
fiat_p256_addcarryx_u32(&x172, &x173, x171, x163, x160);
fiat_p256_addcarryx_u32(&x174, &x175, x173, x161, x158);
fiat_p256_addcarryx_u32(&x176, &x177, x175, x159, x156);
fiat_p256_addcarryx_u32(&x178, &x179, x177, x157, x154);
fiat_p256_addcarryx_u32(&x180, &x181, x179, x155, x152);
x182 = (x181 + x153);
fiat_p256_addcarryx_u32(&x183, &x184, 0x0, x135, x166);
fiat_p256_addcarryx_u32(&x185, &x186, x184, x137, x168);
fiat_p256_addcarryx_u32(&x187, &x188, x186, x139, x170);
fiat_p256_addcarryx_u32(&x189, &x190, x188, x141, x172);
fiat_p256_addcarryx_u32(&x191, &x192, x190, x143, x174);
fiat_p256_addcarryx_u32(&x193, &x194, x192, x145, x176);
fiat_p256_addcarryx_u32(&x195, &x196, x194, x147, x178);
fiat_p256_addcarryx_u32(&x197, &x198, x196, x149, x180);
fiat_p256_addcarryx_u32(&x199, &x200, x198, x151, x182);
fiat_p256_mulx_u32(&x201, &x202, x183, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x203, &x204, x183, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x205, &x206, x183, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x207, &x208, x183, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x209, &x210, 0x0, x208, x205);
fiat_p256_addcarryx_u32(&x211, &x212, x210, x206, x203);
x213 = (x212 + x204);
fiat_p256_addcarryx_u32(&x214, &x215, 0x0, x183, x207);
fiat_p256_addcarryx_u32(&x216, &x217, x215, x185, x209);
fiat_p256_addcarryx_u32(&x218, &x219, x217, x187, x211);
fiat_p256_addcarryx_u32(&x220, &x221, x219, x189, x213);
fiat_p256_addcarryx_u32(&x222, &x223, x221, x191, 0x0);
fiat_p256_addcarryx_u32(&x224, &x225, x223, x193, 0x0);
fiat_p256_addcarryx_u32(&x226, &x227, x225, x195, x183);
fiat_p256_addcarryx_u32(&x228, &x229, x227, x197, x201);
fiat_p256_addcarryx_u32(&x230, &x231, x229, x199, x202);
x232 = ((uint32_t)x231 + x200);
fiat_p256_mulx_u32(&x233, &x234, x3, (arg1[7]));
fiat_p256_mulx_u32(&x235, &x236, x3, (arg1[6]));
fiat_p256_mulx_u32(&x237, &x238, x3, (arg1[5]));
fiat_p256_mulx_u32(&x239, &x240, x3, (arg1[4]));
fiat_p256_mulx_u32(&x241, &x242, x3, (arg1[3]));
fiat_p256_mulx_u32(&x243, &x244, x3, (arg1[2]));
fiat_p256_mulx_u32(&x245, &x246, x3, (arg1[1]));
fiat_p256_mulx_u32(&x247, &x248, x3, (arg1[0]));
fiat_p256_addcarryx_u32(&x249, &x250, 0x0, x248, x245);
fiat_p256_addcarryx_u32(&x251, &x252, x250, x246, x243);
fiat_p256_addcarryx_u32(&x253, &x254, x252, x244, x241);
fiat_p256_addcarryx_u32(&x255, &x256, x254, x242, x239);
fiat_p256_addcarryx_u32(&x257, &x258, x256, x240, x237);
fiat_p256_addcarryx_u32(&x259, &x260, x258, x238, x235);
fiat_p256_addcarryx_u32(&x261, &x262, x260, x236, x233);
x263 = (x262 + x234);
fiat_p256_addcarryx_u32(&x264, &x265, 0x0, x216, x247);
fiat_p256_addcarryx_u32(&x266, &x267, x265, x218, x249);
fiat_p256_addcarryx_u32(&x268, &x269, x267, x220, x251);
fiat_p256_addcarryx_u32(&x270, &x271, x269, x222, x253);
fiat_p256_addcarryx_u32(&x272, &x273, x271, x224, x255);
fiat_p256_addcarryx_u32(&x274, &x275, x273, x226, x257);
fiat_p256_addcarryx_u32(&x276, &x277, x275, x228, x259);
fiat_p256_addcarryx_u32(&x278, &x279, x277, x230, x261);
fiat_p256_addcarryx_u32(&x280, &x281, x279, x232, x263);
fiat_p256_mulx_u32(&x282, &x283, x264, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x284, &x285, x264, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x286, &x287, x264, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x288, &x289, x264, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x290, &x291, 0x0, x289, x286);
fiat_p256_addcarryx_u32(&x292, &x293, x291, x287, x284);
x294 = (x293 + x285);
fiat_p256_addcarryx_u32(&x295, &x296, 0x0, x264, x288);
fiat_p256_addcarryx_u32(&x297, &x298, x296, x266, x290);
fiat_p256_addcarryx_u32(&x299, &x300, x298, x268, x292);
fiat_p256_addcarryx_u32(&x301, &x302, x300, x270, x294);
fiat_p256_addcarryx_u32(&x303, &x304, x302, x272, 0x0);
fiat_p256_addcarryx_u32(&x305, &x306, x304, x274, 0x0);
fiat_p256_addcarryx_u32(&x307, &x308, x306, x276, x264);
fiat_p256_addcarryx_u32(&x309, &x310, x308, x278, x282);
fiat_p256_addcarryx_u32(&x311, &x312, x310, x280, x283);
x313 = ((uint32_t)x312 + x281);
fiat_p256_mulx_u32(&x314, &x315, x4, (arg1[7]));
fiat_p256_mulx_u32(&x316, &x317, x4, (arg1[6]));
fiat_p256_mulx_u32(&x318, &x319, x4, (arg1[5]));
fiat_p256_mulx_u32(&x320, &x321, x4, (arg1[4]));
fiat_p256_mulx_u32(&x322, &x323, x4, (arg1[3]));
fiat_p256_mulx_u32(&x324, &x325, x4, (arg1[2]));
fiat_p256_mulx_u32(&x326, &x327, x4, (arg1[1]));
fiat_p256_mulx_u32(&x328, &x329, x4, (arg1[0]));
fiat_p256_addcarryx_u32(&x330, &x331, 0x0, x329, x326);
fiat_p256_addcarryx_u32(&x332, &x333, x331, x327, x324);
fiat_p256_addcarryx_u32(&x334, &x335, x333, x325, x322);
fiat_p256_addcarryx_u32(&x336, &x337, x335, x323, x320);
fiat_p256_addcarryx_u32(&x338, &x339, x337, x321, x318);
fiat_p256_addcarryx_u32(&x340, &x341, x339, x319, x316);
fiat_p256_addcarryx_u32(&x342, &x343, x341, x317, x314);
x344 = (x343 + x315);
fiat_p256_addcarryx_u32(&x345, &x346, 0x0, x297, x328);
fiat_p256_addcarryx_u32(&x347, &x348, x346, x299, x330);
fiat_p256_addcarryx_u32(&x349, &x350, x348, x301, x332);
fiat_p256_addcarryx_u32(&x351, &x352, x350, x303, x334);
fiat_p256_addcarryx_u32(&x353, &x354, x352, x305, x336);
fiat_p256_addcarryx_u32(&x355, &x356, x354, x307, x338);
fiat_p256_addcarryx_u32(&x357, &x358, x356, x309, x340);
fiat_p256_addcarryx_u32(&x359, &x360, x358, x311, x342);
fiat_p256_addcarryx_u32(&x361, &x362, x360, x313, x344);
fiat_p256_mulx_u32(&x363, &x364, x345, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x365, &x366, x345, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x367, &x368, x345, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x369, &x370, x345, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x371, &x372, 0x0, x370, x367);
fiat_p256_addcarryx_u32(&x373, &x374, x372, x368, x365);
x375 = (x374 + x366);
fiat_p256_addcarryx_u32(&x376, &x377, 0x0, x345, x369);
fiat_p256_addcarryx_u32(&x378, &x379, x377, x347, x371);
fiat_p256_addcarryx_u32(&x380, &x381, x379, x349, x373);
fiat_p256_addcarryx_u32(&x382, &x383, x381, x351, x375);
fiat_p256_addcarryx_u32(&x384, &x385, x383, x353, 0x0);
fiat_p256_addcarryx_u32(&x386, &x387, x385, x355, 0x0);
fiat_p256_addcarryx_u32(&x388, &x389, x387, x357, x345);
fiat_p256_addcarryx_u32(&x390, &x391, x389, x359, x363);
fiat_p256_addcarryx_u32(&x392, &x393, x391, x361, x364);
x394 = ((uint32_t)x393 + x362);
fiat_p256_mulx_u32(&x395, &x396, x5, (arg1[7]));
fiat_p256_mulx_u32(&x397, &x398, x5, (arg1[6]));
fiat_p256_mulx_u32(&x399, &x400, x5, (arg1[5]));
fiat_p256_mulx_u32(&x401, &x402, x5, (arg1[4]));
fiat_p256_mulx_u32(&x403, &x404, x5, (arg1[3]));
fiat_p256_mulx_u32(&x405, &x406, x5, (arg1[2]));
fiat_p256_mulx_u32(&x407, &x408, x5, (arg1[1]));
fiat_p256_mulx_u32(&x409, &x410, x5, (arg1[0]));
fiat_p256_addcarryx_u32(&x411, &x412, 0x0, x410, x407);
fiat_p256_addcarryx_u32(&x413, &x414, x412, x408, x405);
fiat_p256_addcarryx_u32(&x415, &x416, x414, x406, x403);
fiat_p256_addcarryx_u32(&x417, &x418, x416, x404, x401);
fiat_p256_addcarryx_u32(&x419, &x420, x418, x402, x399);
fiat_p256_addcarryx_u32(&x421, &x422, x420, x400, x397);
fiat_p256_addcarryx_u32(&x423, &x424, x422, x398, x395);
x425 = (x424 + x396);
fiat_p256_addcarryx_u32(&x426, &x427, 0x0, x378, x409);
fiat_p256_addcarryx_u32(&x428, &x429, x427, x380, x411);
fiat_p256_addcarryx_u32(&x430, &x431, x429, x382, x413);
fiat_p256_addcarryx_u32(&x432, &x433, x431, x384, x415);
fiat_p256_addcarryx_u32(&x434, &x435, x433, x386, x417);
fiat_p256_addcarryx_u32(&x436, &x437, x435, x388, x419);
fiat_p256_addcarryx_u32(&x438, &x439, x437, x390, x421);
fiat_p256_addcarryx_u32(&x440, &x441, x439, x392, x423);
fiat_p256_addcarryx_u32(&x442, &x443, x441, x394, x425);
fiat_p256_mulx_u32(&x444, &x445, x426, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x446, &x447, x426, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x448, &x449, x426, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x450, &x451, x426, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x452, &x453, 0x0, x451, x448);
fiat_p256_addcarryx_u32(&x454, &x455, x453, x449, x446);
x456 = (x455 + x447);
fiat_p256_addcarryx_u32(&x457, &x458, 0x0, x426, x450);
fiat_p256_addcarryx_u32(&x459, &x460, x458, x428, x452);
fiat_p256_addcarryx_u32(&x461, &x462, x460, x430, x454);
fiat_p256_addcarryx_u32(&x463, &x464, x462, x432, x456);
fiat_p256_addcarryx_u32(&x465, &x466, x464, x434, 0x0);
fiat_p256_addcarryx_u32(&x467, &x468, x466, x436, 0x0);
fiat_p256_addcarryx_u32(&x469, &x470, x468, x438, x426);
fiat_p256_addcarryx_u32(&x471, &x472, x470, x440, x444);
fiat_p256_addcarryx_u32(&x473, &x474, x472, x442, x445);
x475 = ((uint32_t)x474 + x443);
fiat_p256_mulx_u32(&x476, &x477, x6, (arg1[7]));
fiat_p256_mulx_u32(&x478, &x479, x6, (arg1[6]));
fiat_p256_mulx_u32(&x480, &x481, x6, (arg1[5]));
fiat_p256_mulx_u32(&x482, &x483, x6, (arg1[4]));
fiat_p256_mulx_u32(&x484, &x485, x6, (arg1[3]));
fiat_p256_mulx_u32(&x486, &x487, x6, (arg1[2]));
fiat_p256_mulx_u32(&x488, &x489, x6, (arg1[1]));
fiat_p256_mulx_u32(&x490, &x491, x6, (arg1[0]));
fiat_p256_addcarryx_u32(&x492, &x493, 0x0, x491, x488);
fiat_p256_addcarryx_u32(&x494, &x495, x493, x489, x486);
fiat_p256_addcarryx_u32(&x496, &x497, x495, x487, x484);
fiat_p256_addcarryx_u32(&x498, &x499, x497, x485, x482);
fiat_p256_addcarryx_u32(&x500, &x501, x499, x483, x480);
fiat_p256_addcarryx_u32(&x502, &x503, x501, x481, x478);
fiat_p256_addcarryx_u32(&x504, &x505, x503, x479, x476);
x506 = (x505 + x477);
fiat_p256_addcarryx_u32(&x507, &x508, 0x0, x459, x490);
fiat_p256_addcarryx_u32(&x509, &x510, x508, x461, x492);
fiat_p256_addcarryx_u32(&x511, &x512, x510, x463, x494);
fiat_p256_addcarryx_u32(&x513, &x514, x512, x465, x496);
fiat_p256_addcarryx_u32(&x515, &x516, x514, x467, x498);
fiat_p256_addcarryx_u32(&x517, &x518, x516, x469, x500);
fiat_p256_addcarryx_u32(&x519, &x520, x518, x471, x502);
fiat_p256_addcarryx_u32(&x521, &x522, x520, x473, x504);
fiat_p256_addcarryx_u32(&x523, &x524, x522, x475, x506);
fiat_p256_mulx_u32(&x525, &x526, x507, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x527, &x528, x507, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x529, &x530, x507, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x531, &x532, x507, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x533, &x534, 0x0, x532, x529);
fiat_p256_addcarryx_u32(&x535, &x536, x534, x530, x527);
x537 = (x536 + x528);
fiat_p256_addcarryx_u32(&x538, &x539, 0x0, x507, x531);
fiat_p256_addcarryx_u32(&x540, &x541, x539, x509, x533);
fiat_p256_addcarryx_u32(&x542, &x543, x541, x511, x535);
fiat_p256_addcarryx_u32(&x544, &x545, x543, x513, x537);
fiat_p256_addcarryx_u32(&x546, &x547, x545, x515, 0x0);
fiat_p256_addcarryx_u32(&x548, &x549, x547, x517, 0x0);
fiat_p256_addcarryx_u32(&x550, &x551, x549, x519, x507);
fiat_p256_addcarryx_u32(&x552, &x553, x551, x521, x525);
fiat_p256_addcarryx_u32(&x554, &x555, x553, x523, x526);
x556 = ((uint32_t)x555 + x524);
fiat_p256_mulx_u32(&x557, &x558, x7, (arg1[7]));
fiat_p256_mulx_u32(&x559, &x560, x7, (arg1[6]));
fiat_p256_mulx_u32(&x561, &x562, x7, (arg1[5]));
fiat_p256_mulx_u32(&x563, &x564, x7, (arg1[4]));
fiat_p256_mulx_u32(&x565, &x566, x7, (arg1[3]));
fiat_p256_mulx_u32(&x567, &x568, x7, (arg1[2]));
fiat_p256_mulx_u32(&x569, &x570, x7, (arg1[1]));
fiat_p256_mulx_u32(&x571, &x572, x7, (arg1[0]));
fiat_p256_addcarryx_u32(&x573, &x574, 0x0, x572, x569);
fiat_p256_addcarryx_u32(&x575, &x576, x574, x570, x567);
fiat_p256_addcarryx_u32(&x577, &x578, x576, x568, x565);
fiat_p256_addcarryx_u32(&x579, &x580, x578, x566, x563);
fiat_p256_addcarryx_u32(&x581, &x582, x580, x564, x561);
fiat_p256_addcarryx_u32(&x583, &x584, x582, x562, x559);
fiat_p256_addcarryx_u32(&x585, &x586, x584, x560, x557);
x587 = (x586 + x558);
fiat_p256_addcarryx_u32(&x588, &x589, 0x0, x540, x571);
fiat_p256_addcarryx_u32(&x590, &x591, x589, x542, x573);
fiat_p256_addcarryx_u32(&x592, &x593, x591, x544, x575);
fiat_p256_addcarryx_u32(&x594, &x595, x593, x546, x577);
fiat_p256_addcarryx_u32(&x596, &x597, x595, x548, x579);
fiat_p256_addcarryx_u32(&x598, &x599, x597, x550, x581);
fiat_p256_addcarryx_u32(&x600, &x601, x599, x552, x583);
fiat_p256_addcarryx_u32(&x602, &x603, x601, x554, x585);
fiat_p256_addcarryx_u32(&x604, &x605, x603, x556, x587);
fiat_p256_mulx_u32(&x606, &x607, x588, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x608, &x609, x588, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x610, &x611, x588, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x612, &x613, x588, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x614, &x615, 0x0, x613, x610);
fiat_p256_addcarryx_u32(&x616, &x617, x615, x611, x608);
x618 = (x617 + x609);
fiat_p256_addcarryx_u32(&x619, &x620, 0x0, x588, x612);
fiat_p256_addcarryx_u32(&x621, &x622, x620, x590, x614);
fiat_p256_addcarryx_u32(&x623, &x624, x622, x592, x616);
fiat_p256_addcarryx_u32(&x625, &x626, x624, x594, x618);
fiat_p256_addcarryx_u32(&x627, &x628, x626, x596, 0x0);
fiat_p256_addcarryx_u32(&x629, &x630, x628, x598, 0x0);
fiat_p256_addcarryx_u32(&x631, &x632, x630, x600, x588);
fiat_p256_addcarryx_u32(&x633, &x634, x632, x602, x606);
fiat_p256_addcarryx_u32(&x635, &x636, x634, x604, x607);
x637 = ((uint32_t)x636 + x605);
fiat_p256_subborrowx_u32(&x638, &x639, 0x0, x621, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x640, &x641, x639, x623, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x642, &x643, x641, x625, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x644, &x645, x643, x627, 0x0);
fiat_p256_subborrowx_u32(&x646, &x647, x645, x629, 0x0);
fiat_p256_subborrowx_u32(&x648, &x649, x647, x631, 0x0);
fiat_p256_subborrowx_u32(&x650, &x651, x649, x633, 0x1);
fiat_p256_subborrowx_u32(&x652, &x653, x651, x635, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x654, &x655, x653, x637, 0x0);
fiat_p256_cmovznz_u32(&x656, x655, x638, x621);
fiat_p256_cmovznz_u32(&x657, x655, x640, x623);
fiat_p256_cmovznz_u32(&x658, x655, x642, x625);
fiat_p256_cmovznz_u32(&x659, x655, x644, x627);
fiat_p256_cmovznz_u32(&x660, x655, x646, x629);
fiat_p256_cmovznz_u32(&x661, x655, x648, x631);
fiat_p256_cmovznz_u32(&x662, x655, x650, x633);
fiat_p256_cmovznz_u32(&x663, x655, x652, x635);
out1[0] = x656;
out1[1] = x657;
out1[2] = x658;
out1[3] = x659;
out1[4] = x660;
out1[5] = x661;
out1[6] = x662;
out1[7] = x663;
}
/*
* The function fiat_p256_add adds two field elements in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_add(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_field_element arg2) {
uint32_t x1;
fiat_p256_uint1 x2;
uint32_t x3;
fiat_p256_uint1 x4;
uint32_t x5;
fiat_p256_uint1 x6;
uint32_t x7;
fiat_p256_uint1 x8;
uint32_t x9;
fiat_p256_uint1 x10;
uint32_t x11;
fiat_p256_uint1 x12;
uint32_t x13;
fiat_p256_uint1 x14;
uint32_t x15;
fiat_p256_uint1 x16;
uint32_t x17;
fiat_p256_uint1 x18;
uint32_t x19;
fiat_p256_uint1 x20;
uint32_t x21;
fiat_p256_uint1 x22;
uint32_t x23;
fiat_p256_uint1 x24;
uint32_t x25;
fiat_p256_uint1 x26;
uint32_t x27;
fiat_p256_uint1 x28;
uint32_t x29;
fiat_p256_uint1 x30;
uint32_t x31;
fiat_p256_uint1 x32;
uint32_t x33;
fiat_p256_uint1 x34;
uint32_t x35;
uint32_t x36;
uint32_t x37;
uint32_t x38;
uint32_t x39;
uint32_t x40;
uint32_t x41;
uint32_t x42;
fiat_p256_addcarryx_u32(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
fiat_p256_addcarryx_u32(&x3, &x4, x2, (arg1[1]), (arg2[1]));
fiat_p256_addcarryx_u32(&x5, &x6, x4, (arg1[2]), (arg2[2]));
fiat_p256_addcarryx_u32(&x7, &x8, x6, (arg1[3]), (arg2[3]));
fiat_p256_addcarryx_u32(&x9, &x10, x8, (arg1[4]), (arg2[4]));
fiat_p256_addcarryx_u32(&x11, &x12, x10, (arg1[5]), (arg2[5]));
fiat_p256_addcarryx_u32(&x13, &x14, x12, (arg1[6]), (arg2[6]));
fiat_p256_addcarryx_u32(&x15, &x16, x14, (arg1[7]), (arg2[7]));
fiat_p256_subborrowx_u32(&x17, &x18, 0x0, x1, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x19, &x20, x18, x3, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x21, &x22, x20, x5, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x23, &x24, x22, x7, 0x0);
fiat_p256_subborrowx_u32(&x25, &x26, x24, x9, 0x0);
fiat_p256_subborrowx_u32(&x27, &x28, x26, x11, 0x0);
fiat_p256_subborrowx_u32(&x29, &x30, x28, x13, 0x1);
fiat_p256_subborrowx_u32(&x31, &x32, x30, x15, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x33, &x34, x32, x16, 0x0);
fiat_p256_cmovznz_u32(&x35, x34, x17, x1);
fiat_p256_cmovznz_u32(&x36, x34, x19, x3);
fiat_p256_cmovznz_u32(&x37, x34, x21, x5);
fiat_p256_cmovznz_u32(&x38, x34, x23, x7);
fiat_p256_cmovznz_u32(&x39, x34, x25, x9);
fiat_p256_cmovznz_u32(&x40, x34, x27, x11);
fiat_p256_cmovznz_u32(&x41, x34, x29, x13);
fiat_p256_cmovznz_u32(&x42, x34, x31, x15);
out1[0] = x35;
out1[1] = x36;
out1[2] = x37;
out1[3] = x38;
out1[4] = x39;
out1[5] = x40;
out1[6] = x41;
out1[7] = x42;
}
/*
* The function fiat_p256_sub subtracts two field elements in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_sub(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_field_element arg2) {
uint32_t x1;
fiat_p256_uint1 x2;
uint32_t x3;
fiat_p256_uint1 x4;
uint32_t x5;
fiat_p256_uint1 x6;
uint32_t x7;
fiat_p256_uint1 x8;
uint32_t x9;
fiat_p256_uint1 x10;
uint32_t x11;
fiat_p256_uint1 x12;
uint32_t x13;
fiat_p256_uint1 x14;
uint32_t x15;
fiat_p256_uint1 x16;
uint32_t x17;
uint32_t x18;
fiat_p256_uint1 x19;
uint32_t x20;
fiat_p256_uint1 x21;
uint32_t x22;
fiat_p256_uint1 x23;
uint32_t x24;
fiat_p256_uint1 x25;
uint32_t x26;
fiat_p256_uint1 x27;
uint32_t x28;
fiat_p256_uint1 x29;
uint32_t x30;
fiat_p256_uint1 x31;
uint32_t x32;
fiat_p256_uint1 x33;
fiat_p256_subborrowx_u32(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
fiat_p256_subborrowx_u32(&x3, &x4, x2, (arg1[1]), (arg2[1]));
fiat_p256_subborrowx_u32(&x5, &x6, x4, (arg1[2]), (arg2[2]));
fiat_p256_subborrowx_u32(&x7, &x8, x6, (arg1[3]), (arg2[3]));
fiat_p256_subborrowx_u32(&x9, &x10, x8, (arg1[4]), (arg2[4]));
fiat_p256_subborrowx_u32(&x11, &x12, x10, (arg1[5]), (arg2[5]));
fiat_p256_subborrowx_u32(&x13, &x14, x12, (arg1[6]), (arg2[6]));
fiat_p256_subborrowx_u32(&x15, &x16, x14, (arg1[7]), (arg2[7]));
fiat_p256_cmovznz_u32(&x17, x16, 0x0, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x18, &x19, 0x0, x1, x17);
fiat_p256_addcarryx_u32(&x20, &x21, x19, x3, x17);
fiat_p256_addcarryx_u32(&x22, &x23, x21, x5, x17);
fiat_p256_addcarryx_u32(&x24, &x25, x23, x7, 0x0);
fiat_p256_addcarryx_u32(&x26, &x27, x25, x9, 0x0);
fiat_p256_addcarryx_u32(&x28, &x29, x27, x11, 0x0);
fiat_p256_addcarryx_u32(&x30, &x31, x29, x13, (fiat_p256_uint1)(x17 & 0x1));
fiat_p256_addcarryx_u32(&x32, &x33, x31, x15, x17);
out1[0] = x18;
out1[1] = x20;
out1[2] = x22;
out1[3] = x24;
out1[4] = x26;
out1[5] = x28;
out1[6] = x30;
out1[7] = x32;
}
/*
* The function fiat_p256_opp negates a field element in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_opp(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) {
uint32_t x1;
fiat_p256_uint1 x2;
uint32_t x3;
fiat_p256_uint1 x4;
uint32_t x5;
fiat_p256_uint1 x6;
uint32_t x7;
fiat_p256_uint1 x8;
uint32_t x9;
fiat_p256_uint1 x10;
uint32_t x11;
fiat_p256_uint1 x12;
uint32_t x13;
fiat_p256_uint1 x14;
uint32_t x15;
fiat_p256_uint1 x16;
uint32_t x17;
uint32_t x18;
fiat_p256_uint1 x19;
uint32_t x20;
fiat_p256_uint1 x21;
uint32_t x22;
fiat_p256_uint1 x23;
uint32_t x24;
fiat_p256_uint1 x25;
uint32_t x26;
fiat_p256_uint1 x27;
uint32_t x28;
fiat_p256_uint1 x29;
uint32_t x30;
fiat_p256_uint1 x31;
uint32_t x32;
fiat_p256_uint1 x33;
fiat_p256_subborrowx_u32(&x1, &x2, 0x0, 0x0, (arg1[0]));
fiat_p256_subborrowx_u32(&x3, &x4, x2, 0x0, (arg1[1]));
fiat_p256_subborrowx_u32(&x5, &x6, x4, 0x0, (arg1[2]));
fiat_p256_subborrowx_u32(&x7, &x8, x6, 0x0, (arg1[3]));
fiat_p256_subborrowx_u32(&x9, &x10, x8, 0x0, (arg1[4]));
fiat_p256_subborrowx_u32(&x11, &x12, x10, 0x0, (arg1[5]));
fiat_p256_subborrowx_u32(&x13, &x14, x12, 0x0, (arg1[6]));
fiat_p256_subborrowx_u32(&x15, &x16, x14, 0x0, (arg1[7]));
fiat_p256_cmovznz_u32(&x17, x16, 0x0, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x18, &x19, 0x0, x1, x17);
fiat_p256_addcarryx_u32(&x20, &x21, x19, x3, x17);
fiat_p256_addcarryx_u32(&x22, &x23, x21, x5, x17);
fiat_p256_addcarryx_u32(&x24, &x25, x23, x7, 0x0);
fiat_p256_addcarryx_u32(&x26, &x27, x25, x9, 0x0);
fiat_p256_addcarryx_u32(&x28, &x29, x27, x11, 0x0);
fiat_p256_addcarryx_u32(&x30, &x31, x29, x13, (fiat_p256_uint1)(x17 & 0x1));
fiat_p256_addcarryx_u32(&x32, &x33, x31, x15, x17);
out1[0] = x18;
out1[1] = x20;
out1[2] = x22;
out1[3] = x24;
out1[4] = x26;
out1[5] = x28;
out1[6] = x30;
out1[7] = x32;
}
/*
* The function fiat_p256_from_montgomery translates a field element out of the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval out1 mod m = (eval arg1 * ((2^32)⁻¹ mod m)^8) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_from_montgomery(fiat_p256_non_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
fiat_p256_uint1 x11;
uint32_t x12;
fiat_p256_uint1 x13;
uint32_t x14;
fiat_p256_uint1 x15;
uint32_t x16;
fiat_p256_uint1 x17;
uint32_t x18;
fiat_p256_uint1 x19;
uint32_t x20;
fiat_p256_uint1 x21;
uint32_t x22;
fiat_p256_uint1 x23;
uint32_t x24;
fiat_p256_uint1 x25;
uint32_t x26;
fiat_p256_uint1 x27;
uint32_t x28;
uint32_t x29;
uint32_t x30;
uint32_t x31;
uint32_t x32;
uint32_t x33;
uint32_t x34;
uint32_t x35;
uint32_t x36;
fiat_p256_uint1 x37;
uint32_t x38;
fiat_p256_uint1 x39;
uint32_t x40;
fiat_p256_uint1 x41;
uint32_t x42;
fiat_p256_uint1 x43;
uint32_t x44;
fiat_p256_uint1 x45;
uint32_t x46;
fiat_p256_uint1 x47;
uint32_t x48;
fiat_p256_uint1 x49;
uint32_t x50;
fiat_p256_uint1 x51;
uint32_t x52;
fiat_p256_uint1 x53;
uint32_t x54;
fiat_p256_uint1 x55;
uint32_t x56;
fiat_p256_uint1 x57;
uint32_t x58;
uint32_t x59;
uint32_t x60;
uint32_t x61;
uint32_t x62;
uint32_t x63;
uint32_t x64;
uint32_t x65;
uint32_t x66;
fiat_p256_uint1 x67;
uint32_t x68;
fiat_p256_uint1 x69;
uint32_t x70;
fiat_p256_uint1 x71;
uint32_t x72;
fiat_p256_uint1 x73;
uint32_t x74;
fiat_p256_uint1 x75;
uint32_t x76;
fiat_p256_uint1 x77;
uint32_t x78;
fiat_p256_uint1 x79;
uint32_t x80;
fiat_p256_uint1 x81;
uint32_t x82;
fiat_p256_uint1 x83;
uint32_t x84;
fiat_p256_uint1 x85;
uint32_t x86;
fiat_p256_uint1 x87;
uint32_t x88;
fiat_p256_uint1 x89;
uint32_t x90;
fiat_p256_uint1 x91;
uint32_t x92;
fiat_p256_uint1 x93;
uint32_t x94;
fiat_p256_uint1 x95;
uint32_t x96;
fiat_p256_uint1 x97;
uint32_t x98;
fiat_p256_uint1 x99;
uint32_t x100;
fiat_p256_uint1 x101;
uint32_t x102;
uint32_t x103;
uint32_t x104;
uint32_t x105;
uint32_t x106;
uint32_t x107;
uint32_t x108;
uint32_t x109;
uint32_t x110;
fiat_p256_uint1 x111;
uint32_t x112;
fiat_p256_uint1 x113;
uint32_t x114;
fiat_p256_uint1 x115;
uint32_t x116;
fiat_p256_uint1 x117;
uint32_t x118;
fiat_p256_uint1 x119;
uint32_t x120;
fiat_p256_uint1 x121;
uint32_t x122;
fiat_p256_uint1 x123;
uint32_t x124;
fiat_p256_uint1 x125;
uint32_t x126;
fiat_p256_uint1 x127;
uint32_t x128;
fiat_p256_uint1 x129;
uint32_t x130;
fiat_p256_uint1 x131;
uint32_t x132;
fiat_p256_uint1 x133;
uint32_t x134;
fiat_p256_uint1 x135;
uint32_t x136;
fiat_p256_uint1 x137;
uint32_t x138;
fiat_p256_uint1 x139;
uint32_t x140;
fiat_p256_uint1 x141;
uint32_t x142;
fiat_p256_uint1 x143;
uint32_t x144;
fiat_p256_uint1 x145;
uint32_t x146;
fiat_p256_uint1 x147;
uint32_t x148;
uint32_t x149;
uint32_t x150;
uint32_t x151;
uint32_t x152;
uint32_t x153;
uint32_t x154;
uint32_t x155;
uint32_t x156;
fiat_p256_uint1 x157;
uint32_t x158;
fiat_p256_uint1 x159;
uint32_t x160;
fiat_p256_uint1 x161;
uint32_t x162;
fiat_p256_uint1 x163;
uint32_t x164;
fiat_p256_uint1 x165;
uint32_t x166;
fiat_p256_uint1 x167;
uint32_t x168;
fiat_p256_uint1 x169;
uint32_t x170;
fiat_p256_uint1 x171;
uint32_t x172;
fiat_p256_uint1 x173;
uint32_t x174;
fiat_p256_uint1 x175;
uint32_t x176;
fiat_p256_uint1 x177;
uint32_t x178;
fiat_p256_uint1 x179;
uint32_t x180;
fiat_p256_uint1 x181;
uint32_t x182;
fiat_p256_uint1 x183;
uint32_t x184;
fiat_p256_uint1 x185;
uint32_t x186;
fiat_p256_uint1 x187;
uint32_t x188;
fiat_p256_uint1 x189;
uint32_t x190;
fiat_p256_uint1 x191;
uint32_t x192;
fiat_p256_uint1 x193;
uint32_t x194;
uint32_t x195;
uint32_t x196;
uint32_t x197;
uint32_t x198;
uint32_t x199;
uint32_t x200;
uint32_t x201;
uint32_t x202;
fiat_p256_uint1 x203;
uint32_t x204;
fiat_p256_uint1 x205;
uint32_t x206;
fiat_p256_uint1 x207;
uint32_t x208;
fiat_p256_uint1 x209;
uint32_t x210;
fiat_p256_uint1 x211;
uint32_t x212;
fiat_p256_uint1 x213;
uint32_t x214;
fiat_p256_uint1 x215;
uint32_t x216;
fiat_p256_uint1 x217;
uint32_t x218;
fiat_p256_uint1 x219;
uint32_t x220;
fiat_p256_uint1 x221;
uint32_t x222;
fiat_p256_uint1 x223;
uint32_t x224;
fiat_p256_uint1 x225;
uint32_t x226;
fiat_p256_uint1 x227;
uint32_t x228;
fiat_p256_uint1 x229;
uint32_t x230;
fiat_p256_uint1 x231;
uint32_t x232;
fiat_p256_uint1 x233;
uint32_t x234;
fiat_p256_uint1 x235;
uint32_t x236;
fiat_p256_uint1 x237;
uint32_t x238;
fiat_p256_uint1 x239;
uint32_t x240;
uint32_t x241;
uint32_t x242;
uint32_t x243;
uint32_t x244;
uint32_t x245;
uint32_t x246;
uint32_t x247;
uint32_t x248;
fiat_p256_uint1 x249;
uint32_t x250;
fiat_p256_uint1 x251;
uint32_t x252;
fiat_p256_uint1 x253;
uint32_t x254;
fiat_p256_uint1 x255;
uint32_t x256;
fiat_p256_uint1 x257;
uint32_t x258;
fiat_p256_uint1 x259;
uint32_t x260;
fiat_p256_uint1 x261;
uint32_t x262;
fiat_p256_uint1 x263;
uint32_t x264;
fiat_p256_uint1 x265;
uint32_t x266;
fiat_p256_uint1 x267;
uint32_t x268;
fiat_p256_uint1 x269;
uint32_t x270;
fiat_p256_uint1 x271;
uint32_t x272;
fiat_p256_uint1 x273;
uint32_t x274;
fiat_p256_uint1 x275;
uint32_t x276;
fiat_p256_uint1 x277;
uint32_t x278;
fiat_p256_uint1 x279;
uint32_t x280;
fiat_p256_uint1 x281;
uint32_t x282;
fiat_p256_uint1 x283;
uint32_t x284;
fiat_p256_uint1 x285;
uint32_t x286;
uint32_t x287;
uint32_t x288;
uint32_t x289;
uint32_t x290;
uint32_t x291;
uint32_t x292;
uint32_t x293;
uint32_t x294;
fiat_p256_uint1 x295;
uint32_t x296;
fiat_p256_uint1 x297;
uint32_t x298;
fiat_p256_uint1 x299;
uint32_t x300;
fiat_p256_uint1 x301;
uint32_t x302;
fiat_p256_uint1 x303;
uint32_t x304;
fiat_p256_uint1 x305;
uint32_t x306;
fiat_p256_uint1 x307;
uint32_t x308;
fiat_p256_uint1 x309;
uint32_t x310;
fiat_p256_uint1 x311;
uint32_t x312;
fiat_p256_uint1 x313;
uint32_t x314;
fiat_p256_uint1 x315;
uint32_t x316;
fiat_p256_uint1 x317;
uint32_t x318;
fiat_p256_uint1 x319;
uint32_t x320;
fiat_p256_uint1 x321;
uint32_t x322;
fiat_p256_uint1 x323;
uint32_t x324;
fiat_p256_uint1 x325;
uint32_t x326;
fiat_p256_uint1 x327;
uint32_t x328;
fiat_p256_uint1 x329;
uint32_t x330;
fiat_p256_uint1 x331;
uint32_t x332;
fiat_p256_uint1 x333;
uint32_t x334;
uint32_t x335;
uint32_t x336;
uint32_t x337;
uint32_t x338;
uint32_t x339;
uint32_t x340;
uint32_t x341;
x1 = (arg1[0]);
fiat_p256_mulx_u32(&x2, &x3, x1, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x4, &x5, x1, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x6, &x7, x1, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x8, &x9, x1, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x10, &x11, 0x0, x9, x6);
fiat_p256_addcarryx_u32(&x12, &x13, x11, x7, x4);
fiat_p256_addcarryx_u32(&x14, &x15, 0x0, x1, x8);
fiat_p256_addcarryx_u32(&x16, &x17, x15, 0x0, x10);
fiat_p256_addcarryx_u32(&x18, &x19, x17, 0x0, x12);
fiat_p256_addcarryx_u32(&x20, &x21, x19, 0x0, (x13 + x5));
fiat_p256_addcarryx_u32(&x22, &x23, 0x0, x16, (arg1[1]));
fiat_p256_addcarryx_u32(&x24, &x25, x23, x18, 0x0);
fiat_p256_addcarryx_u32(&x26, &x27, x25, x20, 0x0);
fiat_p256_mulx_u32(&x28, &x29, x22, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x30, &x31, x22, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x32, &x33, x22, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x34, &x35, x22, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x36, &x37, 0x0, x35, x32);
fiat_p256_addcarryx_u32(&x38, &x39, x37, x33, x30);
fiat_p256_addcarryx_u32(&x40, &x41, 0x0, x22, x34);
fiat_p256_addcarryx_u32(&x42, &x43, x41, x24, x36);
fiat_p256_addcarryx_u32(&x44, &x45, x43, x26, x38);
fiat_p256_addcarryx_u32(&x46, &x47, x45, ((uint32_t)x27 + x21), (x39 + x31));
fiat_p256_addcarryx_u32(&x48, &x49, 0x0, x2, x22);
fiat_p256_addcarryx_u32(&x50, &x51, x49, x3, x28);
fiat_p256_addcarryx_u32(&x52, &x53, 0x0, x42, (arg1[2]));
fiat_p256_addcarryx_u32(&x54, &x55, x53, x44, 0x0);
fiat_p256_addcarryx_u32(&x56, &x57, x55, x46, 0x0);
fiat_p256_mulx_u32(&x58, &x59, x52, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x60, &x61, x52, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x62, &x63, x52, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x64, &x65, x52, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x66, &x67, 0x0, x65, x62);
fiat_p256_addcarryx_u32(&x68, &x69, x67, x63, x60);
fiat_p256_addcarryx_u32(&x70, &x71, 0x0, x52, x64);
fiat_p256_addcarryx_u32(&x72, &x73, x71, x54, x66);
fiat_p256_addcarryx_u32(&x74, &x75, x73, x56, x68);
fiat_p256_addcarryx_u32(&x76, &x77, x75, ((uint32_t)x57 + x47), (x69 + x61));
fiat_p256_addcarryx_u32(&x78, &x79, x77, x1, 0x0);
fiat_p256_addcarryx_u32(&x80, &x81, x79, x48, 0x0);
fiat_p256_addcarryx_u32(&x82, &x83, x81, x50, x52);
fiat_p256_addcarryx_u32(&x84, &x85, x83, (x51 + x29), x58);
fiat_p256_addcarryx_u32(&x86, &x87, 0x0, x72, (arg1[3]));
fiat_p256_addcarryx_u32(&x88, &x89, x87, x74, 0x0);
fiat_p256_addcarryx_u32(&x90, &x91, x89, x76, 0x0);
fiat_p256_addcarryx_u32(&x92, &x93, x91, x78, 0x0);
fiat_p256_addcarryx_u32(&x94, &x95, x93, x80, 0x0);
fiat_p256_addcarryx_u32(&x96, &x97, x95, x82, 0x0);
fiat_p256_addcarryx_u32(&x98, &x99, x97, x84, 0x0);
fiat_p256_addcarryx_u32(&x100, &x101, x99, (x85 + x59), 0x0);
fiat_p256_mulx_u32(&x102, &x103, x86, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x104, &x105, x86, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x106, &x107, x86, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x108, &x109, x86, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x110, &x111, 0x0, x109, x106);
fiat_p256_addcarryx_u32(&x112, &x113, x111, x107, x104);
fiat_p256_addcarryx_u32(&x114, &x115, 0x0, x86, x108);
fiat_p256_addcarryx_u32(&x116, &x117, x115, x88, x110);
fiat_p256_addcarryx_u32(&x118, &x119, x117, x90, x112);
fiat_p256_addcarryx_u32(&x120, &x121, x119, x92, (x113 + x105));
fiat_p256_addcarryx_u32(&x122, &x123, x121, x94, 0x0);
fiat_p256_addcarryx_u32(&x124, &x125, x123, x96, 0x0);
fiat_p256_addcarryx_u32(&x126, &x127, x125, x98, x86);
fiat_p256_addcarryx_u32(&x128, &x129, x127, x100, x102);
fiat_p256_addcarryx_u32(&x130, &x131, x129, x101, x103);
fiat_p256_addcarryx_u32(&x132, &x133, 0x0, x116, (arg1[4]));
fiat_p256_addcarryx_u32(&x134, &x135, x133, x118, 0x0);
fiat_p256_addcarryx_u32(&x136, &x137, x135, x120, 0x0);
fiat_p256_addcarryx_u32(&x138, &x139, x137, x122, 0x0);
fiat_p256_addcarryx_u32(&x140, &x141, x139, x124, 0x0);
fiat_p256_addcarryx_u32(&x142, &x143, x141, x126, 0x0);
fiat_p256_addcarryx_u32(&x144, &x145, x143, x128, 0x0);
fiat_p256_addcarryx_u32(&x146, &x147, x145, x130, 0x0);
fiat_p256_mulx_u32(&x148, &x149, x132, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x150, &x151, x132, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x152, &x153, x132, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x154, &x155, x132, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x156, &x157, 0x0, x155, x152);
fiat_p256_addcarryx_u32(&x158, &x159, x157, x153, x150);
fiat_p256_addcarryx_u32(&x160, &x161, 0x0, x132, x154);
fiat_p256_addcarryx_u32(&x162, &x163, x161, x134, x156);
fiat_p256_addcarryx_u32(&x164, &x165, x163, x136, x158);
fiat_p256_addcarryx_u32(&x166, &x167, x165, x138, (x159 + x151));
fiat_p256_addcarryx_u32(&x168, &x169, x167, x140, 0x0);
fiat_p256_addcarryx_u32(&x170, &x171, x169, x142, 0x0);
fiat_p256_addcarryx_u32(&x172, &x173, x171, x144, x132);
fiat_p256_addcarryx_u32(&x174, &x175, x173, x146, x148);
fiat_p256_addcarryx_u32(&x176, &x177, x175, ((uint32_t)x147 + x131), x149);
fiat_p256_addcarryx_u32(&x178, &x179, 0x0, x162, (arg1[5]));
fiat_p256_addcarryx_u32(&x180, &x181, x179, x164, 0x0);
fiat_p256_addcarryx_u32(&x182, &x183, x181, x166, 0x0);
fiat_p256_addcarryx_u32(&x184, &x185, x183, x168, 0x0);
fiat_p256_addcarryx_u32(&x186, &x187, x185, x170, 0x0);
fiat_p256_addcarryx_u32(&x188, &x189, x187, x172, 0x0);
fiat_p256_addcarryx_u32(&x190, &x191, x189, x174, 0x0);
fiat_p256_addcarryx_u32(&x192, &x193, x191, x176, 0x0);
fiat_p256_mulx_u32(&x194, &x195, x178, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x196, &x197, x178, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x198, &x199, x178, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x200, &x201, x178, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x202, &x203, 0x0, x201, x198);
fiat_p256_addcarryx_u32(&x204, &x205, x203, x199, x196);
fiat_p256_addcarryx_u32(&x206, &x207, 0x0, x178, x200);
fiat_p256_addcarryx_u32(&x208, &x209, x207, x180, x202);
fiat_p256_addcarryx_u32(&x210, &x211, x209, x182, x204);
fiat_p256_addcarryx_u32(&x212, &x213, x211, x184, (x205 + x197));
fiat_p256_addcarryx_u32(&x214, &x215, x213, x186, 0x0);
fiat_p256_addcarryx_u32(&x216, &x217, x215, x188, 0x0);
fiat_p256_addcarryx_u32(&x218, &x219, x217, x190, x178);
fiat_p256_addcarryx_u32(&x220, &x221, x219, x192, x194);
fiat_p256_addcarryx_u32(&x222, &x223, x221, ((uint32_t)x193 + x177), x195);
fiat_p256_addcarryx_u32(&x224, &x225, 0x0, x208, (arg1[6]));
fiat_p256_addcarryx_u32(&x226, &x227, x225, x210, 0x0);
fiat_p256_addcarryx_u32(&x228, &x229, x227, x212, 0x0);
fiat_p256_addcarryx_u32(&x230, &x231, x229, x214, 0x0);
fiat_p256_addcarryx_u32(&x232, &x233, x231, x216, 0x0);
fiat_p256_addcarryx_u32(&x234, &x235, x233, x218, 0x0);
fiat_p256_addcarryx_u32(&x236, &x237, x235, x220, 0x0);
fiat_p256_addcarryx_u32(&x238, &x239, x237, x222, 0x0);
fiat_p256_mulx_u32(&x240, &x241, x224, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x242, &x243, x224, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x244, &x245, x224, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x246, &x247, x224, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x248, &x249, 0x0, x247, x244);
fiat_p256_addcarryx_u32(&x250, &x251, x249, x245, x242);
fiat_p256_addcarryx_u32(&x252, &x253, 0x0, x224, x246);
fiat_p256_addcarryx_u32(&x254, &x255, x253, x226, x248);
fiat_p256_addcarryx_u32(&x256, &x257, x255, x228, x250);
fiat_p256_addcarryx_u32(&x258, &x259, x257, x230, (x251 + x243));
fiat_p256_addcarryx_u32(&x260, &x261, x259, x232, 0x0);
fiat_p256_addcarryx_u32(&x262, &x263, x261, x234, 0x0);
fiat_p256_addcarryx_u32(&x264, &x265, x263, x236, x224);
fiat_p256_addcarryx_u32(&x266, &x267, x265, x238, x240);
fiat_p256_addcarryx_u32(&x268, &x269, x267, ((uint32_t)x239 + x223), x241);
fiat_p256_addcarryx_u32(&x270, &x271, 0x0, x254, (arg1[7]));
fiat_p256_addcarryx_u32(&x272, &x273, x271, x256, 0x0);
fiat_p256_addcarryx_u32(&x274, &x275, x273, x258, 0x0);
fiat_p256_addcarryx_u32(&x276, &x277, x275, x260, 0x0);
fiat_p256_addcarryx_u32(&x278, &x279, x277, x262, 0x0);
fiat_p256_addcarryx_u32(&x280, &x281, x279, x264, 0x0);
fiat_p256_addcarryx_u32(&x282, &x283, x281, x266, 0x0);
fiat_p256_addcarryx_u32(&x284, &x285, x283, x268, 0x0);
fiat_p256_mulx_u32(&x286, &x287, x270, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x288, &x289, x270, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x290, &x291, x270, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x292, &x293, x270, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x294, &x295, 0x0, x293, x290);
fiat_p256_addcarryx_u32(&x296, &x297, x295, x291, x288);
fiat_p256_addcarryx_u32(&x298, &x299, 0x0, x270, x292);
fiat_p256_addcarryx_u32(&x300, &x301, x299, x272, x294);
fiat_p256_addcarryx_u32(&x302, &x303, x301, x274, x296);
fiat_p256_addcarryx_u32(&x304, &x305, x303, x276, (x297 + x289));
fiat_p256_addcarryx_u32(&x306, &x307, x305, x278, 0x0);
fiat_p256_addcarryx_u32(&x308, &x309, x307, x280, 0x0);
fiat_p256_addcarryx_u32(&x310, &x311, x309, x282, x270);
fiat_p256_addcarryx_u32(&x312, &x313, x311, x284, x286);
fiat_p256_addcarryx_u32(&x314, &x315, x313, ((uint32_t)x285 + x269), x287);
fiat_p256_subborrowx_u32(&x316, &x317, 0x0, x300, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x318, &x319, x317, x302, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x320, &x321, x319, x304, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x322, &x323, x321, x306, 0x0);
fiat_p256_subborrowx_u32(&x324, &x325, x323, x308, 0x0);
fiat_p256_subborrowx_u32(&x326, &x327, x325, x310, 0x0);
fiat_p256_subborrowx_u32(&x328, &x329, x327, x312, 0x1);
fiat_p256_subborrowx_u32(&x330, &x331, x329, x314, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x332, &x333, x331, x315, 0x0);
fiat_p256_cmovznz_u32(&x334, x333, x316, x300);
fiat_p256_cmovznz_u32(&x335, x333, x318, x302);
fiat_p256_cmovznz_u32(&x336, x333, x320, x304);
fiat_p256_cmovznz_u32(&x337, x333, x322, x306);
fiat_p256_cmovznz_u32(&x338, x333, x324, x308);
fiat_p256_cmovznz_u32(&x339, x333, x326, x310);
fiat_p256_cmovznz_u32(&x340, x333, x328, x312);
fiat_p256_cmovznz_u32(&x341, x333, x330, x314);
out1[0] = x334;
out1[1] = x335;
out1[2] = x336;
out1[3] = x337;
out1[4] = x338;
out1[5] = x339;
out1[6] = x340;
out1[7] = x341;
}
/*
* The function fiat_p256_to_montgomery translates a field element into the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval (from_montgomery out1) mod m = eval arg1 mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_to_montgomery(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_non_montgomery_domain_field_element arg1) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
uint32_t x11;
uint32_t x12;
uint32_t x13;
uint32_t x14;
uint32_t x15;
uint32_t x16;
uint32_t x17;
uint32_t x18;
uint32_t x19;
uint32_t x20;
uint32_t x21;
uint32_t x22;
uint32_t x23;
fiat_p256_uint1 x24;
uint32_t x25;
fiat_p256_uint1 x26;
uint32_t x27;
fiat_p256_uint1 x28;
uint32_t x29;
fiat_p256_uint1 x30;
uint32_t x31;
fiat_p256_uint1 x32;
uint32_t x33;
uint32_t x34;
uint32_t x35;
uint32_t x36;
uint32_t x37;
uint32_t x38;
uint32_t x39;
uint32_t x40;
uint32_t x41;
fiat_p256_uint1 x42;
uint32_t x43;
fiat_p256_uint1 x44;
uint32_t x45;
fiat_p256_uint1 x46;
uint32_t x47;
fiat_p256_uint1 x48;
uint32_t x49;
fiat_p256_uint1 x50;
uint32_t x51;
fiat_p256_uint1 x52;
uint32_t x53;
fiat_p256_uint1 x54;
uint32_t x55;
fiat_p256_uint1 x56;
uint32_t x57;
fiat_p256_uint1 x58;
uint32_t x59;
fiat_p256_uint1 x60;
uint32_t x61;
fiat_p256_uint1 x62;
uint32_t x63;
uint32_t x64;
uint32_t x65;
uint32_t x66;
uint32_t x67;
uint32_t x68;
uint32_t x69;
uint32_t x70;
uint32_t x71;
uint32_t x72;
uint32_t x73;
uint32_t x74;
uint32_t x75;
uint32_t x76;
uint32_t x77;
fiat_p256_uint1 x78;
uint32_t x79;
fiat_p256_uint1 x80;
uint32_t x81;
fiat_p256_uint1 x82;
uint32_t x83;
fiat_p256_uint1 x84;
uint32_t x85;
fiat_p256_uint1 x86;
uint32_t x87;
fiat_p256_uint1 x88;
uint32_t x89;
fiat_p256_uint1 x90;
uint32_t x91;
fiat_p256_uint1 x92;
uint32_t x93;
fiat_p256_uint1 x94;
uint32_t x95;
fiat_p256_uint1 x96;
uint32_t x97;
fiat_p256_uint1 x98;
uint32_t x99;
fiat_p256_uint1 x100;
uint32_t x101;
fiat_p256_uint1 x102;
uint32_t x103;
uint32_t x104;
uint32_t x105;
uint32_t x106;
uint32_t x107;
uint32_t x108;
uint32_t x109;
uint32_t x110;
uint32_t x111;
fiat_p256_uint1 x112;
uint32_t x113;
fiat_p256_uint1 x114;
uint32_t x115;
fiat_p256_uint1 x116;
uint32_t x117;
fiat_p256_uint1 x118;
uint32_t x119;
fiat_p256_uint1 x120;
uint32_t x121;
fiat_p256_uint1 x122;
uint32_t x123;
fiat_p256_uint1 x124;
uint32_t x125;
fiat_p256_uint1 x126;
uint32_t x127;
fiat_p256_uint1 x128;
uint32_t x129;
fiat_p256_uint1 x130;
uint32_t x131;
fiat_p256_uint1 x132;
uint32_t x133;
uint32_t x134;
uint32_t x135;
uint32_t x136;
uint32_t x137;
uint32_t x138;
uint32_t x139;
uint32_t x140;
uint32_t x141;
uint32_t x142;
uint32_t x143;
uint32_t x144;
uint32_t x145;
uint32_t x146;
uint32_t x147;
fiat_p256_uint1 x148;
uint32_t x149;
fiat_p256_uint1 x150;
uint32_t x151;
fiat_p256_uint1 x152;
uint32_t x153;
fiat_p256_uint1 x154;
uint32_t x155;
fiat_p256_uint1 x156;
uint32_t x157;
fiat_p256_uint1 x158;
uint32_t x159;
fiat_p256_uint1 x160;
uint32_t x161;
fiat_p256_uint1 x162;
uint32_t x163;
fiat_p256_uint1 x164;
uint32_t x165;
fiat_p256_uint1 x166;
uint32_t x167;
fiat_p256_uint1 x168;
uint32_t x169;
fiat_p256_uint1 x170;
uint32_t x171;
fiat_p256_uint1 x172;
uint32_t x173;
uint32_t x174;
uint32_t x175;
uint32_t x176;
uint32_t x177;
uint32_t x178;
uint32_t x179;
uint32_t x180;
uint32_t x181;
fiat_p256_uint1 x182;
uint32_t x183;
fiat_p256_uint1 x184;
uint32_t x185;
fiat_p256_uint1 x186;
uint32_t x187;
fiat_p256_uint1 x188;
uint32_t x189;
fiat_p256_uint1 x190;
uint32_t x191;
fiat_p256_uint1 x192;
uint32_t x193;
fiat_p256_uint1 x194;
uint32_t x195;
fiat_p256_uint1 x196;
uint32_t x197;
fiat_p256_uint1 x198;
uint32_t x199;
fiat_p256_uint1 x200;
uint32_t x201;
fiat_p256_uint1 x202;
uint32_t x203;
uint32_t x204;
uint32_t x205;
uint32_t x206;
uint32_t x207;
uint32_t x208;
uint32_t x209;
uint32_t x210;
uint32_t x211;
uint32_t x212;
uint32_t x213;
uint32_t x214;
uint32_t x215;
uint32_t x216;
uint32_t x217;
fiat_p256_uint1 x218;
uint32_t x219;
fiat_p256_uint1 x220;
uint32_t x221;
fiat_p256_uint1 x222;
uint32_t x223;
fiat_p256_uint1 x224;
uint32_t x225;
fiat_p256_uint1 x226;
uint32_t x227;
fiat_p256_uint1 x228;
uint32_t x229;
fiat_p256_uint1 x230;
uint32_t x231;
fiat_p256_uint1 x232;
uint32_t x233;
fiat_p256_uint1 x234;
uint32_t x235;
fiat_p256_uint1 x236;
uint32_t x237;
fiat_p256_uint1 x238;
uint32_t x239;
fiat_p256_uint1 x240;
uint32_t x241;
fiat_p256_uint1 x242;
uint32_t x243;
uint32_t x244;
uint32_t x245;
uint32_t x246;
uint32_t x247;
uint32_t x248;
uint32_t x249;
uint32_t x250;
uint32_t x251;
fiat_p256_uint1 x252;
uint32_t x253;
fiat_p256_uint1 x254;
uint32_t x255;
fiat_p256_uint1 x256;
uint32_t x257;
fiat_p256_uint1 x258;
uint32_t x259;
fiat_p256_uint1 x260;
uint32_t x261;
fiat_p256_uint1 x262;
uint32_t x263;
fiat_p256_uint1 x264;
uint32_t x265;
fiat_p256_uint1 x266;
uint32_t x267;
fiat_p256_uint1 x268;
uint32_t x269;
fiat_p256_uint1 x270;
uint32_t x271;
fiat_p256_uint1 x272;
uint32_t x273;
uint32_t x274;
uint32_t x275;
uint32_t x276;
uint32_t x277;
uint32_t x278;
uint32_t x279;
uint32_t x280;
uint32_t x281;
uint32_t x282;
uint32_t x283;
uint32_t x284;
uint32_t x285;
uint32_t x286;
uint32_t x287;
fiat_p256_uint1 x288;
uint32_t x289;
fiat_p256_uint1 x290;
uint32_t x291;
fiat_p256_uint1 x292;
uint32_t x293;
fiat_p256_uint1 x294;
uint32_t x295;
fiat_p256_uint1 x296;
uint32_t x297;
fiat_p256_uint1 x298;
uint32_t x299;
fiat_p256_uint1 x300;
uint32_t x301;
fiat_p256_uint1 x302;
uint32_t x303;
fiat_p256_uint1 x304;
uint32_t x305;
fiat_p256_uint1 x306;
uint32_t x307;
fiat_p256_uint1 x308;
uint32_t x309;
fiat_p256_uint1 x310;
uint32_t x311;
fiat_p256_uint1 x312;
uint32_t x313;
uint32_t x314;
uint32_t x315;
uint32_t x316;
uint32_t x317;
uint32_t x318;
uint32_t x319;
uint32_t x320;
uint32_t x321;
fiat_p256_uint1 x322;
uint32_t x323;
fiat_p256_uint1 x324;
uint32_t x325;
fiat_p256_uint1 x326;
uint32_t x327;
fiat_p256_uint1 x328;
uint32_t x329;
fiat_p256_uint1 x330;
uint32_t x331;
fiat_p256_uint1 x332;
uint32_t x333;
fiat_p256_uint1 x334;
uint32_t x335;
fiat_p256_uint1 x336;
uint32_t x337;
fiat_p256_uint1 x338;
uint32_t x339;
fiat_p256_uint1 x340;
uint32_t x341;
fiat_p256_uint1 x342;
uint32_t x343;
uint32_t x344;
uint32_t x345;
uint32_t x346;
uint32_t x347;
uint32_t x348;
uint32_t x349;
uint32_t x350;
uint32_t x351;
uint32_t x352;
uint32_t x353;
uint32_t x354;
uint32_t x355;
uint32_t x356;
uint32_t x357;
fiat_p256_uint1 x358;
uint32_t x359;
fiat_p256_uint1 x360;
uint32_t x361;
fiat_p256_uint1 x362;
uint32_t x363;
fiat_p256_uint1 x364;
uint32_t x365;
fiat_p256_uint1 x366;
uint32_t x367;
fiat_p256_uint1 x368;
uint32_t x369;
fiat_p256_uint1 x370;
uint32_t x371;
fiat_p256_uint1 x372;
uint32_t x373;
fiat_p256_uint1 x374;
uint32_t x375;
fiat_p256_uint1 x376;
uint32_t x377;
fiat_p256_uint1 x378;
uint32_t x379;
fiat_p256_uint1 x380;
uint32_t x381;
fiat_p256_uint1 x382;
uint32_t x383;
uint32_t x384;
uint32_t x385;
uint32_t x386;
uint32_t x387;
uint32_t x388;
uint32_t x389;
uint32_t x390;
uint32_t x391;
fiat_p256_uint1 x392;
uint32_t x393;
fiat_p256_uint1 x394;
uint32_t x395;
fiat_p256_uint1 x396;
uint32_t x397;
fiat_p256_uint1 x398;
uint32_t x399;
fiat_p256_uint1 x400;
uint32_t x401;
fiat_p256_uint1 x402;
uint32_t x403;
fiat_p256_uint1 x404;
uint32_t x405;
fiat_p256_uint1 x406;
uint32_t x407;
fiat_p256_uint1 x408;
uint32_t x409;
fiat_p256_uint1 x410;
uint32_t x411;
fiat_p256_uint1 x412;
uint32_t x413;
uint32_t x414;
uint32_t x415;
uint32_t x416;
uint32_t x417;
uint32_t x418;
uint32_t x419;
uint32_t x420;
uint32_t x421;
uint32_t x422;
uint32_t x423;
uint32_t x424;
uint32_t x425;
uint32_t x426;
uint32_t x427;
fiat_p256_uint1 x428;
uint32_t x429;
fiat_p256_uint1 x430;
uint32_t x431;
fiat_p256_uint1 x432;
uint32_t x433;
fiat_p256_uint1 x434;
uint32_t x435;
fiat_p256_uint1 x436;
uint32_t x437;
fiat_p256_uint1 x438;
uint32_t x439;
fiat_p256_uint1 x440;
uint32_t x441;
fiat_p256_uint1 x442;
uint32_t x443;
fiat_p256_uint1 x444;
uint32_t x445;
fiat_p256_uint1 x446;
uint32_t x447;
fiat_p256_uint1 x448;
uint32_t x449;
fiat_p256_uint1 x450;
uint32_t x451;
fiat_p256_uint1 x452;
uint32_t x453;
uint32_t x454;
uint32_t x455;
uint32_t x456;
uint32_t x457;
uint32_t x458;
uint32_t x459;
uint32_t x460;
uint32_t x461;
fiat_p256_uint1 x462;
uint32_t x463;
fiat_p256_uint1 x464;
uint32_t x465;
fiat_p256_uint1 x466;
uint32_t x467;
fiat_p256_uint1 x468;
uint32_t x469;
fiat_p256_uint1 x470;
uint32_t x471;
fiat_p256_uint1 x472;
uint32_t x473;
fiat_p256_uint1 x474;
uint32_t x475;
fiat_p256_uint1 x476;
uint32_t x477;
fiat_p256_uint1 x478;
uint32_t x479;
fiat_p256_uint1 x480;
uint32_t x481;
fiat_p256_uint1 x482;
uint32_t x483;
uint32_t x484;
uint32_t x485;
uint32_t x486;
uint32_t x487;
uint32_t x488;
uint32_t x489;
uint32_t x490;
uint32_t x491;
uint32_t x492;
uint32_t x493;
uint32_t x494;
uint32_t x495;
uint32_t x496;
uint32_t x497;
fiat_p256_uint1 x498;
uint32_t x499;
fiat_p256_uint1 x500;
uint32_t x501;
fiat_p256_uint1 x502;
uint32_t x503;
fiat_p256_uint1 x504;
uint32_t x505;
fiat_p256_uint1 x506;
uint32_t x507;
fiat_p256_uint1 x508;
uint32_t x509;
fiat_p256_uint1 x510;
uint32_t x511;
fiat_p256_uint1 x512;
uint32_t x513;
fiat_p256_uint1 x514;
uint32_t x515;
fiat_p256_uint1 x516;
uint32_t x517;
fiat_p256_uint1 x518;
uint32_t x519;
fiat_p256_uint1 x520;
uint32_t x521;
fiat_p256_uint1 x522;
uint32_t x523;
uint32_t x524;
uint32_t x525;
uint32_t x526;
uint32_t x527;
uint32_t x528;
uint32_t x529;
uint32_t x530;
uint32_t x531;
fiat_p256_uint1 x532;
uint32_t x533;
fiat_p256_uint1 x534;
uint32_t x535;
fiat_p256_uint1 x536;
uint32_t x537;
fiat_p256_uint1 x538;
uint32_t x539;
fiat_p256_uint1 x540;
uint32_t x541;
fiat_p256_uint1 x542;
uint32_t x543;
fiat_p256_uint1 x544;
uint32_t x545;
fiat_p256_uint1 x546;
uint32_t x547;
fiat_p256_uint1 x548;
uint32_t x549;
fiat_p256_uint1 x550;
uint32_t x551;
fiat_p256_uint1 x552;
uint32_t x553;
fiat_p256_uint1 x554;
uint32_t x555;
fiat_p256_uint1 x556;
uint32_t x557;
fiat_p256_uint1 x558;
uint32_t x559;
fiat_p256_uint1 x560;
uint32_t x561;
fiat_p256_uint1 x562;
uint32_t x563;
fiat_p256_uint1 x564;
uint32_t x565;
fiat_p256_uint1 x566;
uint32_t x567;
fiat_p256_uint1 x568;
uint32_t x569;
fiat_p256_uint1 x570;
uint32_t x571;
uint32_t x572;
uint32_t x573;
uint32_t x574;
uint32_t x575;
uint32_t x576;
uint32_t x577;
uint32_t x578;
x1 = (arg1[1]);
x2 = (arg1[2]);
x3 = (arg1[3]);
x4 = (arg1[4]);
x5 = (arg1[5]);
x6 = (arg1[6]);
x7 = (arg1[7]);
x8 = (arg1[0]);
fiat_p256_mulx_u32(&x9, &x10, x8, 0x4);
fiat_p256_mulx_u32(&x11, &x12, x8, UINT32_C(0xfffffffd));
fiat_p256_mulx_u32(&x13, &x14, x8, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x15, &x16, x8, UINT32_C(0xfffffffe));
fiat_p256_mulx_u32(&x17, &x18, x8, UINT32_C(0xfffffffb));
fiat_p256_mulx_u32(&x19, &x20, x8, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x21, &x22, x8, 0x3);
fiat_p256_addcarryx_u32(&x23, &x24, 0x0, x20, x17);
fiat_p256_addcarryx_u32(&x25, &x26, x24, x18, x15);
fiat_p256_addcarryx_u32(&x27, &x28, x26, x16, x13);
fiat_p256_addcarryx_u32(&x29, &x30, x28, x14, x11);
fiat_p256_addcarryx_u32(&x31, &x32, x30, x12, x9);
fiat_p256_mulx_u32(&x33, &x34, x21, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x35, &x36, x21, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x37, &x38, x21, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x39, &x40, x21, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x41, &x42, 0x0, x40, x37);
fiat_p256_addcarryx_u32(&x43, &x44, x42, x38, x35);
fiat_p256_addcarryx_u32(&x45, &x46, 0x0, x21, x39);
fiat_p256_addcarryx_u32(&x47, &x48, x46, x22, x41);
fiat_p256_addcarryx_u32(&x49, &x50, x48, x19, x43);
fiat_p256_addcarryx_u32(&x51, &x52, x50, x23, (x44 + x36));
fiat_p256_addcarryx_u32(&x53, &x54, x52, x25, 0x0);
fiat_p256_addcarryx_u32(&x55, &x56, x54, x27, 0x0);
fiat_p256_addcarryx_u32(&x57, &x58, x56, x29, x21);
fiat_p256_addcarryx_u32(&x59, &x60, x58, x31, x33);
fiat_p256_addcarryx_u32(&x61, &x62, x60, (x32 + x10), x34);
fiat_p256_mulx_u32(&x63, &x64, x1, 0x4);
fiat_p256_mulx_u32(&x65, &x66, x1, UINT32_C(0xfffffffd));
fiat_p256_mulx_u32(&x67, &x68, x1, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x69, &x70, x1, UINT32_C(0xfffffffe));
fiat_p256_mulx_u32(&x71, &x72, x1, UINT32_C(0xfffffffb));
fiat_p256_mulx_u32(&x73, &x74, x1, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x75, &x76, x1, 0x3);
fiat_p256_addcarryx_u32(&x77, &x78, 0x0, x74, x71);
fiat_p256_addcarryx_u32(&x79, &x80, x78, x72, x69);
fiat_p256_addcarryx_u32(&x81, &x82, x80, x70, x67);
fiat_p256_addcarryx_u32(&x83, &x84, x82, x68, x65);
fiat_p256_addcarryx_u32(&x85, &x86, x84, x66, x63);
fiat_p256_addcarryx_u32(&x87, &x88, 0x0, x47, x75);
fiat_p256_addcarryx_u32(&x89, &x90, x88, x49, x76);
fiat_p256_addcarryx_u32(&x91, &x92, x90, x51, x73);
fiat_p256_addcarryx_u32(&x93, &x94, x92, x53, x77);
fiat_p256_addcarryx_u32(&x95, &x96, x94, x55, x79);
fiat_p256_addcarryx_u32(&x97, &x98, x96, x57, x81);
fiat_p256_addcarryx_u32(&x99, &x100, x98, x59, x83);
fiat_p256_addcarryx_u32(&x101, &x102, x100, x61, x85);
fiat_p256_mulx_u32(&x103, &x104, x87, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x105, &x106, x87, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x107, &x108, x87, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x109, &x110, x87, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x111, &x112, 0x0, x110, x107);
fiat_p256_addcarryx_u32(&x113, &x114, x112, x108, x105);
fiat_p256_addcarryx_u32(&x115, &x116, 0x0, x87, x109);
fiat_p256_addcarryx_u32(&x117, &x118, x116, x89, x111);
fiat_p256_addcarryx_u32(&x119, &x120, x118, x91, x113);
fiat_p256_addcarryx_u32(&x121, &x122, x120, x93, (x114 + x106));
fiat_p256_addcarryx_u32(&x123, &x124, x122, x95, 0x0);
fiat_p256_addcarryx_u32(&x125, &x126, x124, x97, 0x0);
fiat_p256_addcarryx_u32(&x127, &x128, x126, x99, x87);
fiat_p256_addcarryx_u32(&x129, &x130, x128, x101, x103);
fiat_p256_addcarryx_u32(&x131, &x132, x130, (((uint32_t)x102 + x62) + (x86 + x64)), x104);
fiat_p256_mulx_u32(&x133, &x134, x2, 0x4);
fiat_p256_mulx_u32(&x135, &x136, x2, UINT32_C(0xfffffffd));
fiat_p256_mulx_u32(&x137, &x138, x2, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x139, &x140, x2, UINT32_C(0xfffffffe));
fiat_p256_mulx_u32(&x141, &x142, x2, UINT32_C(0xfffffffb));
fiat_p256_mulx_u32(&x143, &x144, x2, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x145, &x146, x2, 0x3);
fiat_p256_addcarryx_u32(&x147, &x148, 0x0, x144, x141);
fiat_p256_addcarryx_u32(&x149, &x150, x148, x142, x139);
fiat_p256_addcarryx_u32(&x151, &x152, x150, x140, x137);
fiat_p256_addcarryx_u32(&x153, &x154, x152, x138, x135);
fiat_p256_addcarryx_u32(&x155, &x156, x154, x136, x133);
fiat_p256_addcarryx_u32(&x157, &x158, 0x0, x117, x145);
fiat_p256_addcarryx_u32(&x159, &x160, x158, x119, x146);
fiat_p256_addcarryx_u32(&x161, &x162, x160, x121, x143);
fiat_p256_addcarryx_u32(&x163, &x164, x162, x123, x147);
fiat_p256_addcarryx_u32(&x165, &x166, x164, x125, x149);
fiat_p256_addcarryx_u32(&x167, &x168, x166, x127, x151);
fiat_p256_addcarryx_u32(&x169, &x170, x168, x129, x153);
fiat_p256_addcarryx_u32(&x171, &x172, x170, x131, x155);
fiat_p256_mulx_u32(&x173, &x174, x157, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x175, &x176, x157, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x177, &x178, x157, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x179, &x180, x157, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x181, &x182, 0x0, x180, x177);
fiat_p256_addcarryx_u32(&x183, &x184, x182, x178, x175);
fiat_p256_addcarryx_u32(&x185, &x186, 0x0, x157, x179);
fiat_p256_addcarryx_u32(&x187, &x188, x186, x159, x181);
fiat_p256_addcarryx_u32(&x189, &x190, x188, x161, x183);
fiat_p256_addcarryx_u32(&x191, &x192, x190, x163, (x184 + x176));
fiat_p256_addcarryx_u32(&x193, &x194, x192, x165, 0x0);
fiat_p256_addcarryx_u32(&x195, &x196, x194, x167, 0x0);
fiat_p256_addcarryx_u32(&x197, &x198, x196, x169, x157);
fiat_p256_addcarryx_u32(&x199, &x200, x198, x171, x173);
fiat_p256_addcarryx_u32(&x201, &x202, x200, (((uint32_t)x172 + x132) + (x156 + x134)), x174);
fiat_p256_mulx_u32(&x203, &x204, x3, 0x4);
fiat_p256_mulx_u32(&x205, &x206, x3, UINT32_C(0xfffffffd));
fiat_p256_mulx_u32(&x207, &x208, x3, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x209, &x210, x3, UINT32_C(0xfffffffe));
fiat_p256_mulx_u32(&x211, &x212, x3, UINT32_C(0xfffffffb));
fiat_p256_mulx_u32(&x213, &x214, x3, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x215, &x216, x3, 0x3);
fiat_p256_addcarryx_u32(&x217, &x218, 0x0, x214, x211);
fiat_p256_addcarryx_u32(&x219, &x220, x218, x212, x209);
fiat_p256_addcarryx_u32(&x221, &x222, x220, x210, x207);
fiat_p256_addcarryx_u32(&x223, &x224, x222, x208, x205);
fiat_p256_addcarryx_u32(&x225, &x226, x224, x206, x203);
fiat_p256_addcarryx_u32(&x227, &x228, 0x0, x187, x215);
fiat_p256_addcarryx_u32(&x229, &x230, x228, x189, x216);
fiat_p256_addcarryx_u32(&x231, &x232, x230, x191, x213);
fiat_p256_addcarryx_u32(&x233, &x234, x232, x193, x217);
fiat_p256_addcarryx_u32(&x235, &x236, x234, x195, x219);
fiat_p256_addcarryx_u32(&x237, &x238, x236, x197, x221);
fiat_p256_addcarryx_u32(&x239, &x240, x238, x199, x223);
fiat_p256_addcarryx_u32(&x241, &x242, x240, x201, x225);
fiat_p256_mulx_u32(&x243, &x244, x227, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x245, &x246, x227, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x247, &x248, x227, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x249, &x250, x227, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x251, &x252, 0x0, x250, x247);
fiat_p256_addcarryx_u32(&x253, &x254, x252, x248, x245);
fiat_p256_addcarryx_u32(&x255, &x256, 0x0, x227, x249);
fiat_p256_addcarryx_u32(&x257, &x258, x256, x229, x251);
fiat_p256_addcarryx_u32(&x259, &x260, x258, x231, x253);
fiat_p256_addcarryx_u32(&x261, &x262, x260, x233, (x254 + x246));
fiat_p256_addcarryx_u32(&x263, &x264, x262, x235, 0x0);
fiat_p256_addcarryx_u32(&x265, &x266, x264, x237, 0x0);
fiat_p256_addcarryx_u32(&x267, &x268, x266, x239, x227);
fiat_p256_addcarryx_u32(&x269, &x270, x268, x241, x243);
fiat_p256_addcarryx_u32(&x271, &x272, x270, (((uint32_t)x242 + x202) + (x226 + x204)), x244);
fiat_p256_mulx_u32(&x273, &x274, x4, 0x4);
fiat_p256_mulx_u32(&x275, &x276, x4, UINT32_C(0xfffffffd));
fiat_p256_mulx_u32(&x277, &x278, x4, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x279, &x280, x4, UINT32_C(0xfffffffe));
fiat_p256_mulx_u32(&x281, &x282, x4, UINT32_C(0xfffffffb));
fiat_p256_mulx_u32(&x283, &x284, x4, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x285, &x286, x4, 0x3);
fiat_p256_addcarryx_u32(&x287, &x288, 0x0, x284, x281);
fiat_p256_addcarryx_u32(&x289, &x290, x288, x282, x279);
fiat_p256_addcarryx_u32(&x291, &x292, x290, x280, x277);
fiat_p256_addcarryx_u32(&x293, &x294, x292, x278, x275);
fiat_p256_addcarryx_u32(&x295, &x296, x294, x276, x273);
fiat_p256_addcarryx_u32(&x297, &x298, 0x0, x257, x285);
fiat_p256_addcarryx_u32(&x299, &x300, x298, x259, x286);
fiat_p256_addcarryx_u32(&x301, &x302, x300, x261, x283);
fiat_p256_addcarryx_u32(&x303, &x304, x302, x263, x287);
fiat_p256_addcarryx_u32(&x305, &x306, x304, x265, x289);
fiat_p256_addcarryx_u32(&x307, &x308, x306, x267, x291);
fiat_p256_addcarryx_u32(&x309, &x310, x308, x269, x293);
fiat_p256_addcarryx_u32(&x311, &x312, x310, x271, x295);
fiat_p256_mulx_u32(&x313, &x314, x297, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x315, &x316, x297, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x317, &x318, x297, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x319, &x320, x297, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x321, &x322, 0x0, x320, x317);
fiat_p256_addcarryx_u32(&x323, &x324, x322, x318, x315);
fiat_p256_addcarryx_u32(&x325, &x326, 0x0, x297, x319);
fiat_p256_addcarryx_u32(&x327, &x328, x326, x299, x321);
fiat_p256_addcarryx_u32(&x329, &x330, x328, x301, x323);
fiat_p256_addcarryx_u32(&x331, &x332, x330, x303, (x324 + x316));
fiat_p256_addcarryx_u32(&x333, &x334, x332, x305, 0x0);
fiat_p256_addcarryx_u32(&x335, &x336, x334, x307, 0x0);
fiat_p256_addcarryx_u32(&x337, &x338, x336, x309, x297);
fiat_p256_addcarryx_u32(&x339, &x340, x338, x311, x313);
fiat_p256_addcarryx_u32(&x341, &x342, x340, (((uint32_t)x312 + x272) + (x296 + x274)), x314);
fiat_p256_mulx_u32(&x343, &x344, x5, 0x4);
fiat_p256_mulx_u32(&x345, &x346, x5, UINT32_C(0xfffffffd));
fiat_p256_mulx_u32(&x347, &x348, x5, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x349, &x350, x5, UINT32_C(0xfffffffe));
fiat_p256_mulx_u32(&x351, &x352, x5, UINT32_C(0xfffffffb));
fiat_p256_mulx_u32(&x353, &x354, x5, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x355, &x356, x5, 0x3);
fiat_p256_addcarryx_u32(&x357, &x358, 0x0, x354, x351);
fiat_p256_addcarryx_u32(&x359, &x360, x358, x352, x349);
fiat_p256_addcarryx_u32(&x361, &x362, x360, x350, x347);
fiat_p256_addcarryx_u32(&x363, &x364, x362, x348, x345);
fiat_p256_addcarryx_u32(&x365, &x366, x364, x346, x343);
fiat_p256_addcarryx_u32(&x367, &x368, 0x0, x327, x355);
fiat_p256_addcarryx_u32(&x369, &x370, x368, x329, x356);
fiat_p256_addcarryx_u32(&x371, &x372, x370, x331, x353);
fiat_p256_addcarryx_u32(&x373, &x374, x372, x333, x357);
fiat_p256_addcarryx_u32(&x375, &x376, x374, x335, x359);
fiat_p256_addcarryx_u32(&x377, &x378, x376, x337, x361);
fiat_p256_addcarryx_u32(&x379, &x380, x378, x339, x363);
fiat_p256_addcarryx_u32(&x381, &x382, x380, x341, x365);
fiat_p256_mulx_u32(&x383, &x384, x367, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x385, &x386, x367, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x387, &x388, x367, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x389, &x390, x367, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x391, &x392, 0x0, x390, x387);
fiat_p256_addcarryx_u32(&x393, &x394, x392, x388, x385);
fiat_p256_addcarryx_u32(&x395, &x396, 0x0, x367, x389);
fiat_p256_addcarryx_u32(&x397, &x398, x396, x369, x391);
fiat_p256_addcarryx_u32(&x399, &x400, x398, x371, x393);
fiat_p256_addcarryx_u32(&x401, &x402, x400, x373, (x394 + x386));
fiat_p256_addcarryx_u32(&x403, &x404, x402, x375, 0x0);
fiat_p256_addcarryx_u32(&x405, &x406, x404, x377, 0x0);
fiat_p256_addcarryx_u32(&x407, &x408, x406, x379, x367);
fiat_p256_addcarryx_u32(&x409, &x410, x408, x381, x383);
fiat_p256_addcarryx_u32(&x411, &x412, x410, (((uint32_t)x382 + x342) + (x366 + x344)), x384);
fiat_p256_mulx_u32(&x413, &x414, x6, 0x4);
fiat_p256_mulx_u32(&x415, &x416, x6, UINT32_C(0xfffffffd));
fiat_p256_mulx_u32(&x417, &x418, x6, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x419, &x420, x6, UINT32_C(0xfffffffe));
fiat_p256_mulx_u32(&x421, &x422, x6, UINT32_C(0xfffffffb));
fiat_p256_mulx_u32(&x423, &x424, x6, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x425, &x426, x6, 0x3);
fiat_p256_addcarryx_u32(&x427, &x428, 0x0, x424, x421);
fiat_p256_addcarryx_u32(&x429, &x430, x428, x422, x419);
fiat_p256_addcarryx_u32(&x431, &x432, x430, x420, x417);
fiat_p256_addcarryx_u32(&x433, &x434, x432, x418, x415);
fiat_p256_addcarryx_u32(&x435, &x436, x434, x416, x413);
fiat_p256_addcarryx_u32(&x437, &x438, 0x0, x397, x425);
fiat_p256_addcarryx_u32(&x439, &x440, x438, x399, x426);
fiat_p256_addcarryx_u32(&x441, &x442, x440, x401, x423);
fiat_p256_addcarryx_u32(&x443, &x444, x442, x403, x427);
fiat_p256_addcarryx_u32(&x445, &x446, x444, x405, x429);
fiat_p256_addcarryx_u32(&x447, &x448, x446, x407, x431);
fiat_p256_addcarryx_u32(&x449, &x450, x448, x409, x433);
fiat_p256_addcarryx_u32(&x451, &x452, x450, x411, x435);
fiat_p256_mulx_u32(&x453, &x454, x437, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x455, &x456, x437, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x457, &x458, x437, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x459, &x460, x437, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x461, &x462, 0x0, x460, x457);
fiat_p256_addcarryx_u32(&x463, &x464, x462, x458, x455);
fiat_p256_addcarryx_u32(&x465, &x466, 0x0, x437, x459);
fiat_p256_addcarryx_u32(&x467, &x468, x466, x439, x461);
fiat_p256_addcarryx_u32(&x469, &x470, x468, x441, x463);
fiat_p256_addcarryx_u32(&x471, &x472, x470, x443, (x464 + x456));
fiat_p256_addcarryx_u32(&x473, &x474, x472, x445, 0x0);
fiat_p256_addcarryx_u32(&x475, &x476, x474, x447, 0x0);
fiat_p256_addcarryx_u32(&x477, &x478, x476, x449, x437);
fiat_p256_addcarryx_u32(&x479, &x480, x478, x451, x453);
fiat_p256_addcarryx_u32(&x481, &x482, x480, (((uint32_t)x452 + x412) + (x436 + x414)), x454);
fiat_p256_mulx_u32(&x483, &x484, x7, 0x4);
fiat_p256_mulx_u32(&x485, &x486, x7, UINT32_C(0xfffffffd));
fiat_p256_mulx_u32(&x487, &x488, x7, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x489, &x490, x7, UINT32_C(0xfffffffe));
fiat_p256_mulx_u32(&x491, &x492, x7, UINT32_C(0xfffffffb));
fiat_p256_mulx_u32(&x493, &x494, x7, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x495, &x496, x7, 0x3);
fiat_p256_addcarryx_u32(&x497, &x498, 0x0, x494, x491);
fiat_p256_addcarryx_u32(&x499, &x500, x498, x492, x489);
fiat_p256_addcarryx_u32(&x501, &x502, x500, x490, x487);
fiat_p256_addcarryx_u32(&x503, &x504, x502, x488, x485);
fiat_p256_addcarryx_u32(&x505, &x506, x504, x486, x483);
fiat_p256_addcarryx_u32(&x507, &x508, 0x0, x467, x495);
fiat_p256_addcarryx_u32(&x509, &x510, x508, x469, x496);
fiat_p256_addcarryx_u32(&x511, &x512, x510, x471, x493);
fiat_p256_addcarryx_u32(&x513, &x514, x512, x473, x497);
fiat_p256_addcarryx_u32(&x515, &x516, x514, x475, x499);
fiat_p256_addcarryx_u32(&x517, &x518, x516, x477, x501);
fiat_p256_addcarryx_u32(&x519, &x520, x518, x479, x503);
fiat_p256_addcarryx_u32(&x521, &x522, x520, x481, x505);
fiat_p256_mulx_u32(&x523, &x524, x507, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x525, &x526, x507, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x527, &x528, x507, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x529, &x530, x507, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x531, &x532, 0x0, x530, x527);
fiat_p256_addcarryx_u32(&x533, &x534, x532, x528, x525);
fiat_p256_addcarryx_u32(&x535, &x536, 0x0, x507, x529);
fiat_p256_addcarryx_u32(&x537, &x538, x536, x509, x531);
fiat_p256_addcarryx_u32(&x539, &x540, x538, x511, x533);
fiat_p256_addcarryx_u32(&x541, &x542, x540, x513, (x534 + x526));
fiat_p256_addcarryx_u32(&x543, &x544, x542, x515, 0x0);
fiat_p256_addcarryx_u32(&x545, &x546, x544, x517, 0x0);
fiat_p256_addcarryx_u32(&x547, &x548, x546, x519, x507);
fiat_p256_addcarryx_u32(&x549, &x550, x548, x521, x523);
fiat_p256_addcarryx_u32(&x551, &x552, x550, (((uint32_t)x522 + x482) + (x506 + x484)), x524);
fiat_p256_subborrowx_u32(&x553, &x554, 0x0, x537, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x555, &x556, x554, x539, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x557, &x558, x556, x541, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x559, &x560, x558, x543, 0x0);
fiat_p256_subborrowx_u32(&x561, &x562, x560, x545, 0x0);
fiat_p256_subborrowx_u32(&x563, &x564, x562, x547, 0x0);
fiat_p256_subborrowx_u32(&x565, &x566, x564, x549, 0x1);
fiat_p256_subborrowx_u32(&x567, &x568, x566, x551, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x569, &x570, x568, x552, 0x0);
fiat_p256_cmovznz_u32(&x571, x570, x553, x537);
fiat_p256_cmovznz_u32(&x572, x570, x555, x539);
fiat_p256_cmovznz_u32(&x573, x570, x557, x541);
fiat_p256_cmovznz_u32(&x574, x570, x559, x543);
fiat_p256_cmovznz_u32(&x575, x570, x561, x545);
fiat_p256_cmovznz_u32(&x576, x570, x563, x547);
fiat_p256_cmovznz_u32(&x577, x570, x565, x549);
fiat_p256_cmovznz_u32(&x578, x570, x567, x551);
out1[0] = x571;
out1[1] = x572;
out1[2] = x573;
out1[3] = x574;
out1[4] = x575;
out1[5] = x576;
out1[6] = x577;
out1[7] = x578;
}
/*
* The function fiat_p256_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_nonzero(uint32_t* out1, const uint32_t arg1[8]) {
uint32_t x1;
x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | ((arg1[3]) | ((arg1[4]) | ((arg1[5]) | ((arg1[6]) | (arg1[7]))))))));
*out1 = x1;
}
/*
* The function fiat_p256_selectznz is a multi-limb conditional select.
*
* Postconditions:
* eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* arg3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_selectznz(uint32_t out1[8], fiat_p256_uint1 arg1, const uint32_t arg2[8], const uint32_t arg3[8]) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
fiat_p256_cmovznz_u32(&x1, arg1, (arg2[0]), (arg3[0]));
fiat_p256_cmovznz_u32(&x2, arg1, (arg2[1]), (arg3[1]));
fiat_p256_cmovznz_u32(&x3, arg1, (arg2[2]), (arg3[2]));
fiat_p256_cmovznz_u32(&x4, arg1, (arg2[3]), (arg3[3]));
fiat_p256_cmovznz_u32(&x5, arg1, (arg2[4]), (arg3[4]));
fiat_p256_cmovznz_u32(&x6, arg1, (arg2[5]), (arg3[5]));
fiat_p256_cmovznz_u32(&x7, arg1, (arg2[6]), (arg3[6]));
fiat_p256_cmovznz_u32(&x8, arg1, (arg2[7]), (arg3[7]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
}
/*
* The function fiat_p256_to_bytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_to_bytes(uint8_t out1[32], const uint32_t arg1[8]) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint8_t x9;
uint32_t x10;
uint8_t x11;
uint32_t x12;
uint8_t x13;
uint8_t x14;
uint8_t x15;
uint32_t x16;
uint8_t x17;
uint32_t x18;
uint8_t x19;
uint8_t x20;
uint8_t x21;
uint32_t x22;
uint8_t x23;
uint32_t x24;
uint8_t x25;
uint8_t x26;
uint8_t x27;
uint32_t x28;
uint8_t x29;
uint32_t x30;
uint8_t x31;
uint8_t x32;
uint8_t x33;
uint32_t x34;
uint8_t x35;
uint32_t x36;
uint8_t x37;
uint8_t x38;
uint8_t x39;
uint32_t x40;
uint8_t x41;
uint32_t x42;
uint8_t x43;
uint8_t x44;
uint8_t x45;
uint32_t x46;
uint8_t x47;
uint32_t x48;
uint8_t x49;
uint8_t x50;
uint8_t x51;
uint32_t x52;
uint8_t x53;
uint32_t x54;
uint8_t x55;
uint8_t x56;
x1 = (arg1[7]);
x2 = (arg1[6]);
x3 = (arg1[5]);
x4 = (arg1[4]);
x5 = (arg1[3]);
x6 = (arg1[2]);
x7 = (arg1[1]);
x8 = (arg1[0]);
x9 = (uint8_t)(x8 & UINT8_C(0xff));
x10 = (x8 >> 8);
x11 = (uint8_t)(x10 & UINT8_C(0xff));
x12 = (x10 >> 8);
x13 = (uint8_t)(x12 & UINT8_C(0xff));
x14 = (uint8_t)(x12 >> 8);
x15 = (uint8_t)(x7 & UINT8_C(0xff));
x16 = (x7 >> 8);
x17 = (uint8_t)(x16 & UINT8_C(0xff));
x18 = (x16 >> 8);
x19 = (uint8_t)(x18 & UINT8_C(0xff));
x20 = (uint8_t)(x18 >> 8);
x21 = (uint8_t)(x6 & UINT8_C(0xff));
x22 = (x6 >> 8);
x23 = (uint8_t)(x22 & UINT8_C(0xff));
x24 = (x22 >> 8);
x25 = (uint8_t)(x24 & UINT8_C(0xff));
x26 = (uint8_t)(x24 >> 8);
x27 = (uint8_t)(x5 & UINT8_C(0xff));
x28 = (x5 >> 8);
x29 = (uint8_t)(x28 & UINT8_C(0xff));
x30 = (x28 >> 8);
x31 = (uint8_t)(x30 & UINT8_C(0xff));
x32 = (uint8_t)(x30 >> 8);
x33 = (uint8_t)(x4 & UINT8_C(0xff));
x34 = (x4 >> 8);
x35 = (uint8_t)(x34 & UINT8_C(0xff));
x36 = (x34 >> 8);
x37 = (uint8_t)(x36 & UINT8_C(0xff));
x38 = (uint8_t)(x36 >> 8);
x39 = (uint8_t)(x3 & UINT8_C(0xff));
x40 = (x3 >> 8);
x41 = (uint8_t)(x40 & UINT8_C(0xff));
x42 = (x40 >> 8);
x43 = (uint8_t)(x42 & UINT8_C(0xff));
x44 = (uint8_t)(x42 >> 8);
x45 = (uint8_t)(x2 & UINT8_C(0xff));
x46 = (x2 >> 8);
x47 = (uint8_t)(x46 & UINT8_C(0xff));
x48 = (x46 >> 8);
x49 = (uint8_t)(x48 & UINT8_C(0xff));
x50 = (uint8_t)(x48 >> 8);
x51 = (uint8_t)(x1 & UINT8_C(0xff));
x52 = (x1 >> 8);
x53 = (uint8_t)(x52 & UINT8_C(0xff));
x54 = (x52 >> 8);
x55 = (uint8_t)(x54 & UINT8_C(0xff));
x56 = (uint8_t)(x54 >> 8);
out1[0] = x9;
out1[1] = x11;
out1[2] = x13;
out1[3] = x14;
out1[4] = x15;
out1[5] = x17;
out1[6] = x19;
out1[7] = x20;
out1[8] = x21;
out1[9] = x23;
out1[10] = x25;
out1[11] = x26;
out1[12] = x27;
out1[13] = x29;
out1[14] = x31;
out1[15] = x32;
out1[16] = x33;
out1[17] = x35;
out1[18] = x37;
out1[19] = x38;
out1[20] = x39;
out1[21] = x41;
out1[22] = x43;
out1[23] = x44;
out1[24] = x45;
out1[25] = x47;
out1[26] = x49;
out1[27] = x50;
out1[28] = x51;
out1[29] = x53;
out1[30] = x55;
out1[31] = x56;
}
/*
* The function fiat_p256_from_bytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order.
*
* Preconditions:
* 0 ≤ bytes_eval arg1 < m
* Postconditions:
* eval out1 mod m = bytes_eval arg1 mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_from_bytes(uint32_t out1[8], const uint8_t arg1[32]) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint8_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint8_t x8;
uint32_t x9;
uint32_t x10;
uint32_t x11;
uint8_t x12;
uint32_t x13;
uint32_t x14;
uint32_t x15;
uint8_t x16;
uint32_t x17;
uint32_t x18;
uint32_t x19;
uint8_t x20;
uint32_t x21;
uint32_t x22;
uint32_t x23;
uint8_t x24;
uint32_t x25;
uint32_t x26;
uint32_t x27;
uint8_t x28;
uint32_t x29;
uint32_t x30;
uint32_t x31;
uint8_t x32;
uint32_t x33;
uint32_t x34;
uint32_t x35;
uint32_t x36;
uint32_t x37;
uint32_t x38;
uint32_t x39;
uint32_t x40;
uint32_t x41;
uint32_t x42;
uint32_t x43;
uint32_t x44;
uint32_t x45;
uint32_t x46;
uint32_t x47;
uint32_t x48;
uint32_t x49;
uint32_t x50;
uint32_t x51;
uint32_t x52;
uint32_t x53;
uint32_t x54;
uint32_t x55;
uint32_t x56;
x1 = ((uint32_t)(arg1[31]) << 24);
x2 = ((uint32_t)(arg1[30]) << 16);
x3 = ((uint32_t)(arg1[29]) << 8);
x4 = (arg1[28]);
x5 = ((uint32_t)(arg1[27]) << 24);
x6 = ((uint32_t)(arg1[26]) << 16);
x7 = ((uint32_t)(arg1[25]) << 8);
x8 = (arg1[24]);
x9 = ((uint32_t)(arg1[23]) << 24);
x10 = ((uint32_t)(arg1[22]) << 16);
x11 = ((uint32_t)(arg1[21]) << 8);
x12 = (arg1[20]);
x13 = ((uint32_t)(arg1[19]) << 24);
x14 = ((uint32_t)(arg1[18]) << 16);
x15 = ((uint32_t)(arg1[17]) << 8);
x16 = (arg1[16]);
x17 = ((uint32_t)(arg1[15]) << 24);
x18 = ((uint32_t)(arg1[14]) << 16);
x19 = ((uint32_t)(arg1[13]) << 8);
x20 = (arg1[12]);
x21 = ((uint32_t)(arg1[11]) << 24);
x22 = ((uint32_t)(arg1[10]) << 16);
x23 = ((uint32_t)(arg1[9]) << 8);
x24 = (arg1[8]);
x25 = ((uint32_t)(arg1[7]) << 24);
x26 = ((uint32_t)(arg1[6]) << 16);
x27 = ((uint32_t)(arg1[5]) << 8);
x28 = (arg1[4]);
x29 = ((uint32_t)(arg1[3]) << 24);
x30 = ((uint32_t)(arg1[2]) << 16);
x31 = ((uint32_t)(arg1[1]) << 8);
x32 = (arg1[0]);
x33 = (x31 + (uint32_t)x32);
x34 = (x30 + x33);
x35 = (x29 + x34);
x36 = (x27 + (uint32_t)x28);
x37 = (x26 + x36);
x38 = (x25 + x37);
x39 = (x23 + (uint32_t)x24);
x40 = (x22 + x39);
x41 = (x21 + x40);
x42 = (x19 + (uint32_t)x20);
x43 = (x18 + x42);
x44 = (x17 + x43);
x45 = (x15 + (uint32_t)x16);
x46 = (x14 + x45);
x47 = (x13 + x46);
x48 = (x11 + (uint32_t)x12);
x49 = (x10 + x48);
x50 = (x9 + x49);
x51 = (x7 + (uint32_t)x8);
x52 = (x6 + x51);
x53 = (x5 + x52);
x54 = (x3 + (uint32_t)x4);
x55 = (x2 + x54);
x56 = (x1 + x55);
out1[0] = x35;
out1[1] = x38;
out1[2] = x41;
out1[3] = x44;
out1[4] = x47;
out1[5] = x50;
out1[6] = x53;
out1[7] = x56;
}
/*
* The function fiat_p256_set_one returns the field element one in the Montgomery domain.
*
* Postconditions:
* eval (from_montgomery out1) mod m = 1 mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_set_one(fiat_p256_montgomery_domain_field_element out1) {
out1[0] = 0x1;
out1[1] = 0x0;
out1[2] = 0x0;
out1[3] = UINT32_C(0xffffffff);
out1[4] = UINT32_C(0xffffffff);
out1[5] = UINT32_C(0xffffffff);
out1[6] = UINT32_C(0xfffffffe);
out1[7] = 0x0;
}
/*
* The function fiat_p256_msat returns the saturated representation of the prime modulus.
*
* Postconditions:
* twos_complement_eval out1 = m
* 0 ≤ eval out1 < m
*
* Output Bounds:
* out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_msat(uint32_t out1[9]) {
out1[0] = UINT32_C(0xffffffff);
out1[1] = UINT32_C(0xffffffff);
out1[2] = UINT32_C(0xffffffff);
out1[3] = 0x0;
out1[4] = 0x0;
out1[5] = 0x0;
out1[6] = 0x1;
out1[7] = UINT32_C(0xffffffff);
out1[8] = 0x0;
}
/*
* The function fiat_p256_divstep computes a divstep.
*
* Preconditions:
* 0 ≤ eval arg4 < m
* 0 ≤ eval arg5 < m
* Postconditions:
* out1 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then 1 - arg1 else 1 + arg1)
* twos_complement_eval out2 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then twos_complement_eval arg3 else twos_complement_eval arg2)
* twos_complement_eval out3 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then ⌊(twos_complement_eval arg3 - twos_complement_eval arg2) / 2⌋ else ⌊(twos_complement_eval arg3 + (twos_complement_eval arg3 mod 2) * twos_complement_eval arg2) / 2⌋)
* eval (from_montgomery out4) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (2 * eval (from_montgomery arg5)) mod m else (2 * eval (from_montgomery arg4)) mod m)
* eval (from_montgomery out5) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (eval (from_montgomery arg4) - eval (from_montgomery arg4)) mod m else (eval (from_montgomery arg5) + (twos_complement_eval arg3 mod 2) * eval (from_montgomery arg4)) mod m)
* 0 ≤ eval out5 < m
* 0 ≤ eval out5 < m
* 0 ≤ eval out2 < m
* 0 ≤ eval out3 < m
*
* Input Bounds:
* arg1: [0x0 ~> 0xffffffff]
* arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* arg3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* arg4: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* arg5: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* out3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* out4: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* out5: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_divstep(uint32_t* out1, uint32_t out2[9], uint32_t out3[9], uint32_t out4[8], uint32_t out5[8], uint32_t arg1, const uint32_t arg2[9], const uint32_t arg3[9], const uint32_t arg4[8], const uint32_t arg5[8]) {
uint32_t x1;
fiat_p256_uint1 x2;
fiat_p256_uint1 x3;
uint32_t x4;
fiat_p256_uint1 x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
uint32_t x11;
uint32_t x12;
uint32_t x13;
uint32_t x14;
uint32_t x15;
uint32_t x16;
fiat_p256_uint1 x17;
uint32_t x18;
fiat_p256_uint1 x19;
uint32_t x20;
fiat_p256_uint1 x21;
uint32_t x22;
fiat_p256_uint1 x23;
uint32_t x24;
fiat_p256_uint1 x25;
uint32_t x26;
fiat_p256_uint1 x27;
uint32_t x28;
fiat_p256_uint1 x29;
uint32_t x30;
fiat_p256_uint1 x31;
uint32_t x32;
fiat_p256_uint1 x33;
uint32_t x34;
uint32_t x35;
uint32_t x36;
uint32_t x37;
uint32_t x38;
uint32_t x39;
uint32_t x40;
uint32_t x41;
uint32_t x42;
uint32_t x43;
uint32_t x44;
uint32_t x45;
uint32_t x46;
uint32_t x47;
uint32_t x48;
uint32_t x49;
uint32_t x50;
uint32_t x51;
fiat_p256_uint1 x52;
uint32_t x53;
fiat_p256_uint1 x54;
uint32_t x55;
fiat_p256_uint1 x56;
uint32_t x57;
fiat_p256_uint1 x58;
uint32_t x59;
fiat_p256_uint1 x60;
uint32_t x61;
fiat_p256_uint1 x62;
uint32_t x63;
fiat_p256_uint1 x64;
uint32_t x65;
fiat_p256_uint1 x66;
uint32_t x67;
fiat_p256_uint1 x68;
uint32_t x69;
fiat_p256_uint1 x70;
uint32_t x71;
fiat_p256_uint1 x72;
uint32_t x73;
fiat_p256_uint1 x74;
uint32_t x75;
fiat_p256_uint1 x76;
uint32_t x77;
fiat_p256_uint1 x78;
uint32_t x79;
fiat_p256_uint1 x80;
uint32_t x81;
fiat_p256_uint1 x82;
uint32_t x83;
fiat_p256_uint1 x84;
uint32_t x85;
uint32_t x86;
uint32_t x87;
uint32_t x88;
uint32_t x89;
uint32_t x90;
uint32_t x91;
uint32_t x92;
uint32_t x93;
fiat_p256_uint1 x94;
uint32_t x95;
fiat_p256_uint1 x96;
uint32_t x97;
fiat_p256_uint1 x98;
uint32_t x99;
fiat_p256_uint1 x100;
uint32_t x101;
fiat_p256_uint1 x102;
uint32_t x103;
fiat_p256_uint1 x104;
uint32_t x105;
fiat_p256_uint1 x106;
uint32_t x107;
fiat_p256_uint1 x108;
uint32_t x109;
uint32_t x110;
fiat_p256_uint1 x111;
uint32_t x112;
fiat_p256_uint1 x113;
uint32_t x114;
fiat_p256_uint1 x115;
uint32_t x116;
fiat_p256_uint1 x117;
uint32_t x118;
fiat_p256_uint1 x119;
uint32_t x120;
fiat_p256_uint1 x121;
uint32_t x122;
fiat_p256_uint1 x123;
uint32_t x124;
fiat_p256_uint1 x125;
uint32_t x126;
uint32_t x127;
uint32_t x128;
uint32_t x129;
uint32_t x130;
uint32_t x131;
uint32_t x132;
uint32_t x133;
fiat_p256_uint1 x134;
uint32_t x135;
uint32_t x136;
uint32_t x137;
uint32_t x138;
uint32_t x139;
uint32_t x140;
uint32_t x141;
uint32_t x142;
uint32_t x143;
uint32_t x144;
fiat_p256_uint1 x145;
uint32_t x146;
fiat_p256_uint1 x147;
uint32_t x148;
fiat_p256_uint1 x149;
uint32_t x150;
fiat_p256_uint1 x151;
uint32_t x152;
fiat_p256_uint1 x153;
uint32_t x154;
fiat_p256_uint1 x155;
uint32_t x156;
fiat_p256_uint1 x157;
uint32_t x158;
fiat_p256_uint1 x159;
uint32_t x160;
fiat_p256_uint1 x161;
uint32_t x162;
uint32_t x163;
uint32_t x164;
uint32_t x165;
uint32_t x166;
uint32_t x167;
uint32_t x168;
uint32_t x169;
uint32_t x170;
fiat_p256_uint1 x171;
uint32_t x172;
fiat_p256_uint1 x173;
uint32_t x174;
fiat_p256_uint1 x175;
uint32_t x176;
fiat_p256_uint1 x177;
uint32_t x178;
fiat_p256_uint1 x179;
uint32_t x180;
fiat_p256_uint1 x181;
uint32_t x182;
fiat_p256_uint1 x183;
uint32_t x184;
fiat_p256_uint1 x185;
uint32_t x186;
fiat_p256_uint1 x187;
uint32_t x188;
fiat_p256_uint1 x189;
uint32_t x190;
fiat_p256_uint1 x191;
uint32_t x192;
fiat_p256_uint1 x193;
uint32_t x194;
fiat_p256_uint1 x195;
uint32_t x196;
fiat_p256_uint1 x197;
uint32_t x198;
fiat_p256_uint1 x199;
uint32_t x200;
fiat_p256_uint1 x201;
uint32_t x202;
fiat_p256_uint1 x203;
uint32_t x204;
fiat_p256_uint1 x205;
uint32_t x206;
uint32_t x207;
uint32_t x208;
uint32_t x209;
uint32_t x210;
uint32_t x211;
uint32_t x212;
uint32_t x213;
uint32_t x214;
uint32_t x215;
uint32_t x216;
uint32_t x217;
uint32_t x218;
uint32_t x219;
uint32_t x220;
uint32_t x221;
uint32_t x222;
uint32_t x223;
uint32_t x224;
uint32_t x225;
uint32_t x226;
uint32_t x227;
uint32_t x228;
uint32_t x229;
uint32_t x230;
fiat_p256_addcarryx_u32(&x1, &x2, 0x0, (~arg1), 0x1);
x3 = (fiat_p256_uint1)((fiat_p256_uint1)(x1 >> 31) & (fiat_p256_uint1)((arg3[0]) & 0x1));
fiat_p256_addcarryx_u32(&x4, &x5, 0x0, (~arg1), 0x1);
fiat_p256_cmovznz_u32(&x6, x3, arg1, x4);
fiat_p256_cmovznz_u32(&x7, x3, (arg2[0]), (arg3[0]));
fiat_p256_cmovznz_u32(&x8, x3, (arg2[1]), (arg3[1]));
fiat_p256_cmovznz_u32(&x9, x3, (arg2[2]), (arg3[2]));
fiat_p256_cmovznz_u32(&x10, x3, (arg2[3]), (arg3[3]));
fiat_p256_cmovznz_u32(&x11, x3, (arg2[4]), (arg3[4]));
fiat_p256_cmovznz_u32(&x12, x3, (arg2[5]), (arg3[5]));
fiat_p256_cmovznz_u32(&x13, x3, (arg2[6]), (arg3[6]));
fiat_p256_cmovznz_u32(&x14, x3, (arg2[7]), (arg3[7]));
fiat_p256_cmovznz_u32(&x15, x3, (arg2[8]), (arg3[8]));
fiat_p256_addcarryx_u32(&x16, &x17, 0x0, 0x1, (~(arg2[0])));
fiat_p256_addcarryx_u32(&x18, &x19, x17, 0x0, (~(arg2[1])));
fiat_p256_addcarryx_u32(&x20, &x21, x19, 0x0, (~(arg2[2])));
fiat_p256_addcarryx_u32(&x22, &x23, x21, 0x0, (~(arg2[3])));
fiat_p256_addcarryx_u32(&x24, &x25, x23, 0x0, (~(arg2[4])));
fiat_p256_addcarryx_u32(&x26, &x27, x25, 0x0, (~(arg2[5])));
fiat_p256_addcarryx_u32(&x28, &x29, x27, 0x0, (~(arg2[6])));
fiat_p256_addcarryx_u32(&x30, &x31, x29, 0x0, (~(arg2[7])));
fiat_p256_addcarryx_u32(&x32, &x33, x31, 0x0, (~(arg2[8])));
fiat_p256_cmovznz_u32(&x34, x3, (arg3[0]), x16);
fiat_p256_cmovznz_u32(&x35, x3, (arg3[1]), x18);
fiat_p256_cmovznz_u32(&x36, x3, (arg3[2]), x20);
fiat_p256_cmovznz_u32(&x37, x3, (arg3[3]), x22);
fiat_p256_cmovznz_u32(&x38, x3, (arg3[4]), x24);
fiat_p256_cmovznz_u32(&x39, x3, (arg3[5]), x26);
fiat_p256_cmovznz_u32(&x40, x3, (arg3[6]), x28);
fiat_p256_cmovznz_u32(&x41, x3, (arg3[7]), x30);
fiat_p256_cmovznz_u32(&x42, x3, (arg3[8]), x32);
fiat_p256_cmovznz_u32(&x43, x3, (arg4[0]), (arg5[0]));
fiat_p256_cmovznz_u32(&x44, x3, (arg4[1]), (arg5[1]));
fiat_p256_cmovznz_u32(&x45, x3, (arg4[2]), (arg5[2]));
fiat_p256_cmovznz_u32(&x46, x3, (arg4[3]), (arg5[3]));
fiat_p256_cmovznz_u32(&x47, x3, (arg4[4]), (arg5[4]));
fiat_p256_cmovznz_u32(&x48, x3, (arg4[5]), (arg5[5]));
fiat_p256_cmovznz_u32(&x49, x3, (arg4[6]), (arg5[6]));
fiat_p256_cmovznz_u32(&x50, x3, (arg4[7]), (arg5[7]));
fiat_p256_addcarryx_u32(&x51, &x52, 0x0, x43, x43);
fiat_p256_addcarryx_u32(&x53, &x54, x52, x44, x44);
fiat_p256_addcarryx_u32(&x55, &x56, x54, x45, x45);
fiat_p256_addcarryx_u32(&x57, &x58, x56, x46, x46);
fiat_p256_addcarryx_u32(&x59, &x60, x58, x47, x47);
fiat_p256_addcarryx_u32(&x61, &x62, x60, x48, x48);
fiat_p256_addcarryx_u32(&x63, &x64, x62, x49, x49);
fiat_p256_addcarryx_u32(&x65, &x66, x64, x50, x50);
fiat_p256_subborrowx_u32(&x67, &x68, 0x0, x51, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x69, &x70, x68, x53, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x71, &x72, x70, x55, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x73, &x74, x72, x57, 0x0);
fiat_p256_subborrowx_u32(&x75, &x76, x74, x59, 0x0);
fiat_p256_subborrowx_u32(&x77, &x78, x76, x61, 0x0);
fiat_p256_subborrowx_u32(&x79, &x80, x78, x63, 0x1);
fiat_p256_subborrowx_u32(&x81, &x82, x80, x65, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x83, &x84, x82, x66, 0x0);
x85 = (arg4[7]);
x86 = (arg4[6]);
x87 = (arg4[5]);
x88 = (arg4[4]);
x89 = (arg4[3]);
x90 = (arg4[2]);
x91 = (arg4[1]);
x92 = (arg4[0]);
fiat_p256_subborrowx_u32(&x93, &x94, 0x0, 0x0, x92);
fiat_p256_subborrowx_u32(&x95, &x96, x94, 0x0, x91);
fiat_p256_subborrowx_u32(&x97, &x98, x96, 0x0, x90);
fiat_p256_subborrowx_u32(&x99, &x100, x98, 0x0, x89);
fiat_p256_subborrowx_u32(&x101, &x102, x100, 0x0, x88);
fiat_p256_subborrowx_u32(&x103, &x104, x102, 0x0, x87);
fiat_p256_subborrowx_u32(&x105, &x106, x104, 0x0, x86);
fiat_p256_subborrowx_u32(&x107, &x108, x106, 0x0, x85);
fiat_p256_cmovznz_u32(&x109, x108, 0x0, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x110, &x111, 0x0, x93, x109);
fiat_p256_addcarryx_u32(&x112, &x113, x111, x95, x109);
fiat_p256_addcarryx_u32(&x114, &x115, x113, x97, x109);
fiat_p256_addcarryx_u32(&x116, &x117, x115, x99, 0x0);
fiat_p256_addcarryx_u32(&x118, &x119, x117, x101, 0x0);
fiat_p256_addcarryx_u32(&x120, &x121, x119, x103, 0x0);
fiat_p256_addcarryx_u32(&x122, &x123, x121, x105, (fiat_p256_uint1)(x109 & 0x1));
fiat_p256_addcarryx_u32(&x124, &x125, x123, x107, x109);
fiat_p256_cmovznz_u32(&x126, x3, (arg5[0]), x110);
fiat_p256_cmovznz_u32(&x127, x3, (arg5[1]), x112);
fiat_p256_cmovznz_u32(&x128, x3, (arg5[2]), x114);
fiat_p256_cmovznz_u32(&x129, x3, (arg5[3]), x116);
fiat_p256_cmovznz_u32(&x130, x3, (arg5[4]), x118);
fiat_p256_cmovznz_u32(&x131, x3, (arg5[5]), x120);
fiat_p256_cmovznz_u32(&x132, x3, (arg5[6]), x122);
fiat_p256_cmovznz_u32(&x133, x3, (arg5[7]), x124);
x134 = (fiat_p256_uint1)(x34 & 0x1);
fiat_p256_cmovznz_u32(&x135, x134, 0x0, x7);
fiat_p256_cmovznz_u32(&x136, x134, 0x0, x8);
fiat_p256_cmovznz_u32(&x137, x134, 0x0, x9);
fiat_p256_cmovznz_u32(&x138, x134, 0x0, x10);
fiat_p256_cmovznz_u32(&x139, x134, 0x0, x11);
fiat_p256_cmovznz_u32(&x140, x134, 0x0, x12);
fiat_p256_cmovznz_u32(&x141, x134, 0x0, x13);
fiat_p256_cmovznz_u32(&x142, x134, 0x0, x14);
fiat_p256_cmovznz_u32(&x143, x134, 0x0, x15);
fiat_p256_addcarryx_u32(&x144, &x145, 0x0, x34, x135);
fiat_p256_addcarryx_u32(&x146, &x147, x145, x35, x136);
fiat_p256_addcarryx_u32(&x148, &x149, x147, x36, x137);
fiat_p256_addcarryx_u32(&x150, &x151, x149, x37, x138);
fiat_p256_addcarryx_u32(&x152, &x153, x151, x38, x139);
fiat_p256_addcarryx_u32(&x154, &x155, x153, x39, x140);
fiat_p256_addcarryx_u32(&x156, &x157, x155, x40, x141);
fiat_p256_addcarryx_u32(&x158, &x159, x157, x41, x142);
fiat_p256_addcarryx_u32(&x160, &x161, x159, x42, x143);
fiat_p256_cmovznz_u32(&x162, x134, 0x0, x43);
fiat_p256_cmovznz_u32(&x163, x134, 0x0, x44);
fiat_p256_cmovznz_u32(&x164, x134, 0x0, x45);
fiat_p256_cmovznz_u32(&x165, x134, 0x0, x46);
fiat_p256_cmovznz_u32(&x166, x134, 0x0, x47);
fiat_p256_cmovznz_u32(&x167, x134, 0x0, x48);
fiat_p256_cmovznz_u32(&x168, x134, 0x0, x49);
fiat_p256_cmovznz_u32(&x169, x134, 0x0, x50);
fiat_p256_addcarryx_u32(&x170, &x171, 0x0, x126, x162);
fiat_p256_addcarryx_u32(&x172, &x173, x171, x127, x163);
fiat_p256_addcarryx_u32(&x174, &x175, x173, x128, x164);
fiat_p256_addcarryx_u32(&x176, &x177, x175, x129, x165);
fiat_p256_addcarryx_u32(&x178, &x179, x177, x130, x166);
fiat_p256_addcarryx_u32(&x180, &x181, x179, x131, x167);
fiat_p256_addcarryx_u32(&x182, &x183, x181, x132, x168);
fiat_p256_addcarryx_u32(&x184, &x185, x183, x133, x169);
fiat_p256_subborrowx_u32(&x186, &x187, 0x0, x170, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x188, &x189, x187, x172, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x190, &x191, x189, x174, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x192, &x193, x191, x176, 0x0);
fiat_p256_subborrowx_u32(&x194, &x195, x193, x178, 0x0);
fiat_p256_subborrowx_u32(&x196, &x197, x195, x180, 0x0);
fiat_p256_subborrowx_u32(&x198, &x199, x197, x182, 0x1);
fiat_p256_subborrowx_u32(&x200, &x201, x199, x184, UINT32_C(0xffffffff));
fiat_p256_subborrowx_u32(&x202, &x203, x201, x185, 0x0);
fiat_p256_addcarryx_u32(&x204, &x205, 0x0, x6, 0x1);
x206 = ((x144 >> 1) | ((x146 << 31) & UINT32_C(0xffffffff)));
x207 = ((x146 >> 1) | ((x148 << 31) & UINT32_C(0xffffffff)));
x208 = ((x148 >> 1) | ((x150 << 31) & UINT32_C(0xffffffff)));
x209 = ((x150 >> 1) | ((x152 << 31) & UINT32_C(0xffffffff)));
x210 = ((x152 >> 1) | ((x154 << 31) & UINT32_C(0xffffffff)));
x211 = ((x154 >> 1) | ((x156 << 31) & UINT32_C(0xffffffff)));
x212 = ((x156 >> 1) | ((x158 << 31) & UINT32_C(0xffffffff)));
x213 = ((x158 >> 1) | ((x160 << 31) & UINT32_C(0xffffffff)));
x214 = ((x160 & UINT32_C(0x80000000)) | (x160 >> 1));
fiat_p256_cmovznz_u32(&x215, x84, x67, x51);
fiat_p256_cmovznz_u32(&x216, x84, x69, x53);
fiat_p256_cmovznz_u32(&x217, x84, x71, x55);
fiat_p256_cmovznz_u32(&x218, x84, x73, x57);
fiat_p256_cmovznz_u32(&x219, x84, x75, x59);
fiat_p256_cmovznz_u32(&x220, x84, x77, x61);
fiat_p256_cmovznz_u32(&x221, x84, x79, x63);
fiat_p256_cmovznz_u32(&x222, x84, x81, x65);
fiat_p256_cmovznz_u32(&x223, x203, x186, x170);
fiat_p256_cmovznz_u32(&x224, x203, x188, x172);
fiat_p256_cmovznz_u32(&x225, x203, x190, x174);
fiat_p256_cmovznz_u32(&x226, x203, x192, x176);
fiat_p256_cmovznz_u32(&x227, x203, x194, x178);
fiat_p256_cmovznz_u32(&x228, x203, x196, x180);
fiat_p256_cmovznz_u32(&x229, x203, x198, x182);
fiat_p256_cmovznz_u32(&x230, x203, x200, x184);
*out1 = x204;
out2[0] = x7;
out2[1] = x8;
out2[2] = x9;
out2[3] = x10;
out2[4] = x11;
out2[5] = x12;
out2[6] = x13;
out2[7] = x14;
out2[8] = x15;
out3[0] = x206;
out3[1] = x207;
out3[2] = x208;
out3[3] = x209;
out3[4] = x210;
out3[5] = x211;
out3[6] = x212;
out3[7] = x213;
out3[8] = x214;
out4[0] = x215;
out4[1] = x216;
out4[2] = x217;
out4[3] = x218;
out4[4] = x219;
out4[5] = x220;
out4[6] = x221;
out4[7] = x222;
out5[0] = x223;
out5[1] = x224;
out5[2] = x225;
out5[3] = x226;
out5[4] = x227;
out5[5] = x228;
out5[6] = x229;
out5[7] = x230;
}
/*
* The function fiat_p256_divstep_precomp returns the precomputed value for Bernstein-Yang-inversion (in montgomery form).
*
* Postconditions:
* eval (from_montgomery out1) = ⌊(m - 1) / 2⌋^(if ⌊log2 m⌋ + 1 < 46 then ⌊(49 * (⌊log2 m⌋ + 1) + 80) / 17⌋ else ⌊(49 * (⌊log2 m⌋ + 1) + 57) / 17⌋)
* 0 ≤ eval out1 < m
*
* Output Bounds:
* out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_divstep_precomp(uint32_t out1[8]) {
out1[0] = UINT32_C(0xb8000000);
out1[1] = UINT32_C(0x67ffffff);
out1[2] = UINT32_C(0x38000000);
out1[3] = UINT32_C(0xc0000000);
out1[4] = UINT32_C(0x7fffffff);
out1[5] = UINT32_C(0xd8000000);
out1[6] = UINT32_C(0xffffffff);
out1[7] = UINT32_C(0x2fffffff);
}
|