/* Software floating-point emulation. Compute powers of 10 into _BitInt. Copyright (C) 2023-2025 Free Software Foundation, Inc. This file is part of GCC. GCC is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version. GCC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. Under Section 7 of GPL version 3, you are granted additional permissions described in the GCC Runtime Library Exception, version 3.1, as published by the Free Software Foundation. You should have received a copy of the GNU General Public License and a copy of the GCC Runtime Library Exception along with this program; see the files COPYING3 and COPYING.RUNTIME respectively. If not, see . */ #include "soft-fp.h" #include "bitint.h" #ifdef __BITINT_MAXWIDTH__ # define BIL_VAL(x) ((UBILtype) (x)) # if BIL_TYPE_SIZE == 64 # define BIL_PAIR(x, y) ((BIL_VAL (x) << 32) | BIL_VAL (y)) # define BIL_OFF(x, y) (x) # elif BIL_TYPE_SIZE == 32 # if __LIBGCC_BITINT_ORDER__ == __ORDER_BIG_ENDIAN__ # define BIL_PAIR(x, y) BIL_VAL (x), BIL_VAL (y) # else # define BIL_PAIR(x, y) BIL_VAL (y), BIL_VAL (x) # endif # define BIL_OFF(x, y) (y) # else # error Unsupported _BitInt limb size # endif #if __LIBGCC_BITINT_ORDER__ == __ORDER_BIG_ENDIAN__ # define BIL_SET2(a, b) a, b # define BIL_SET3(a, b, c) a, b, c # define BIL_SET4(a, b, c, d) a, b, c, d # define BIL_SET5(a, b, c, d, e) a, b, c, d, e # define BIL_SET6(a, b, c, d, e, f) a, b, c, d, e, f # define BIL_SET7(a, b, c, d, e, f, g) a, b, c, d, e, f, g # define BIL_SET8(a, b, c, d, e, f, g, h) a, b, c, d, e, f, g, h # define BIL_SET9(a, b, c, d, e, f, g, h, i) a, b, c, d, e, f, g, h, i # define BIL_SET10(a, b, c, d, e, f, g, h, i, j) a, b, c, d, e, f, g, h, i, j # define BIL_SET11(a, b, c, d, e, f, g, h, i, j, k) \ a, b, c, d, e, f, g, h, i, j, k # define BIL_SET12(a, b, c, d, e, f, g, h, i, j, k, l) \ a, b, c, d, e, f, g, h, i, j, k, l # define BIL_SET13(a, b, c, d, e, f, g, h, i, j, k, l, m) \ a, b, c, d, e, f, g, h, i, j, k, l, m # define BIL_SET14(a, b, c, d, e, f, g, h, i, j, k, l, m, n) \ a, b, c, d, e, f, g, h, i, j, k, l, m, n # define BIL_SET15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) \ a, b, c, d, e, f, g, h, i, j, k, l, m, n, o #else # define BIL_SET2(a, b) b, a # define BIL_SET3(a, b, c) c, b, a # define BIL_SET4(a, b, c, d) d, c, b, a # define BIL_SET5(a, b, c, d, e) e, d, c, b, a # define BIL_SET6(a, b, c, d, e, f) f, e, d, c, b, a # define BIL_SET7(a, b, c, d, e, f, g) g, f, e, d, c, b, a # define BIL_SET8(a, b, c, d, e, f, g, h) h, g, f, e, d, c, b, a # define BIL_SET9(a, b, c, d, e, f, g, h, i) i, h, g, f, e, d, c, b, a # define BIL_SET10(a, b, c, d, e, f, g, h, i, j) j, i, h, g, f, e, d, c, b, a # define BIL_SET11(a, b, c, d, e, f, g, h, i, j, k) \ k, j, i, h, g, f, e, d, c, b, a # define BIL_SET12(a, b, c, d, e, f, g, h, i, j, k, l) \ l, k, j, i, h, g, f, e, d, c, b, a # define BIL_SET13(a, b, c, d, e, f, g, h, i, j, k, l, m) \ m, l, k, j, i, h, g, f, e, d, c, b, a # define BIL_SET14(a, b, c, d, e, f, g, h, i, j, k, l, m, n) \ n, m, l, k, j, i, h, g, f, e, d, c, b, a # define BIL_SET15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) \ o, n, m, l, k, j, i, h, g, f, e, d, c, b, a #endif #include "bitintpow10.h" /* Set r (_BitInt limbs with rprec bits) to pow10 (n), where n is in [0, 6111]. Returns number of least significant limbs with just 0s in it. */ USItype __bid_pow10bitint (UBILtype *r, SItype rprec, USItype n) { USItype rn = ((USItype) rprec + BIL_TYPE_SIZE - 1) / BIL_TYPE_SIZE; if (n <= 256) { /* No need to multiply anything, just copy it from pow10_limbs array. */ USItype low_zeros = (n / 64) * (64 / BIL_TYPE_SIZE); UBILtype *p = &pow10_limbs[pow10_offs[n]]; USItype cnt = pow10_offs[n + 1] - pow10_offs[n]; if (low_zeros) __builtin_memset (r + BITINT_END (rn - low_zeros, 0), '\0', low_zeros * sizeof (UBILtype)); __builtin_memcpy (r + BITINT_END (rn - low_zeros - cnt, low_zeros), p, cnt * sizeof (UBILtype)); if (rn > low_zeros + cnt) __builtin_memset (r + BITINT_END (0, low_zeros + cnt), '\0', (rn - low_zeros - cnt) * sizeof (UBILtype)); return low_zeros; } else { USItype m = n / 256; n &= 255; USItype low_zeros = ((n / 64) + (m * 4)) * (64 / BIL_TYPE_SIZE); UBILtype *pm = &pow10_limbs[pow10_offs[m + 255]]; USItype cntm = pow10_offs[m + 256] - pow10_offs[m + 255]; UBILtype *pn = &pow10_limbs[pow10_offs[n]]; USItype cntn = pow10_offs[n + 1] - pow10_offs[n]; if (low_zeros) __builtin_memset (r + BITINT_END (rn - low_zeros, 0), '\0', low_zeros * sizeof (UBILtype)); __mulbitint3 (r + BITINT_END (0, low_zeros), rprec - low_zeros * BIL_TYPE_SIZE, pm, cntm * BIL_TYPE_SIZE, pn, cntn * BIL_TYPE_SIZE); return low_zeros; } } #endif #ifndef ENABLE_DECIMAL_BID_FORMAT /* DPD encoded 10-bit number to decimal table. */ const unsigned short __dpd_d2bbitint[1024] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 80, 81, 800, 801, 880, 881, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 90, 91, 810, 811, 890, 891, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 82, 83, 820, 821, 808, 809, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 92, 93, 830, 831, 818, 819, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 84, 85, 840, 841, 88, 89, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 94, 95, 850, 851, 98, 99, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 86, 87, 860, 861, 888, 889, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 96, 97, 870, 871, 898, 899, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 180, 181, 900, 901, 980, 981, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 190, 191, 910, 911, 990, 991, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 182, 183, 920, 921, 908, 909, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 192, 193, 930, 931, 918, 919, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 184, 185, 940, 941, 188, 189, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 194, 195, 950, 951, 198, 199, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 186, 187, 960, 961, 988, 989, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 196, 197, 970, 971, 998, 999, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 280, 281, 802, 803, 882, 883, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 290, 291, 812, 813, 892, 893, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 282, 283, 822, 823, 828, 829, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 292, 293, 832, 833, 838, 839, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 284, 285, 842, 843, 288, 289, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 294, 295, 852, 853, 298, 299, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 286, 287, 862, 863, 888, 889, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 296, 297, 872, 873, 898, 899, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 380, 381, 902, 903, 982, 983, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 390, 391, 912, 913, 992, 993, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 382, 383, 922, 923, 928, 929, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 392, 393, 932, 933, 938, 939, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 384, 385, 942, 943, 388, 389, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 394, 395, 952, 953, 398, 399, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 386, 387, 962, 963, 988, 989, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 396, 397, 972, 973, 998, 999, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 480, 481, 804, 805, 884, 885, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 490, 491, 814, 815, 894, 895, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 482, 483, 824, 825, 848, 849, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 492, 493, 834, 835, 858, 859, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 484, 485, 844, 845, 488, 489, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 494, 495, 854, 855, 498, 499, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 486, 487, 864, 865, 888, 889, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 496, 497, 874, 875, 898, 899, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 580, 581, 904, 905, 984, 985, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 590, 591, 914, 915, 994, 995, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 582, 583, 924, 925, 948, 949, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 592, 593, 934, 935, 958, 959, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 584, 585, 944, 945, 588, 589, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 594, 595, 954, 955, 598, 599, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 586, 587, 964, 965, 988, 989, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 596, 597, 974, 975, 998, 999, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 680, 681, 806, 807, 886, 887, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 690, 691, 816, 817, 896, 897, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 682, 683, 826, 827, 868, 869, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 692, 693, 836, 837, 878, 879, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 684, 685, 846, 847, 688, 689, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 694, 695, 856, 857, 698, 699, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 686, 687, 866, 867, 888, 889, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 696, 697, 876, 877, 898, 899, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 780, 781, 906, 907, 986, 987, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 790, 791, 916, 917, 996, 997, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 782, 783, 926, 927, 968, 969, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 792, 793, 936, 937, 978, 979, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 784, 785, 946, 947, 788, 789, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 794, 795, 956, 957, 798, 799, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 786, 787, 966, 967, 988, 989, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 796, 797, 976, 977, 998, 999 }; /* Decimal to DPD encoded 10-bit number table. */ const unsigned short __dpd_b2dbitint[1000] = { 0x000, 0x001, 0x002, 0x003, 0x004, 0x005, 0x006, 0x007, 0x008, 0x009, 0x010, 0x011, 0x012, 0x013, 0x014, 0x015, 0x016, 0x017, 0x018, 0x019, 0x020, 0x021, 0x022, 0x023, 0x024, 0x025, 0x026, 0x027, 0x028, 0x029, 0x030, 0x031, 0x032, 0x033, 0x034, 0x035, 0x036, 0x037, 0x038, 0x039, 0x040, 0x041, 0x042, 0x043, 0x044, 0x045, 0x046, 0x047, 0x048, 0x049, 0x050, 0x051, 0x052, 0x053, 0x054, 0x055, 0x056, 0x057, 0x058, 0x059, 0x060, 0x061, 0x062, 0x063, 0x064, 0x065, 0x066, 0x067, 0x068, 0x069, 0x070, 0x071, 0x072, 0x073, 0x074, 0x075, 0x076, 0x077, 0x078, 0x079, 0x00a, 0x00b, 0x02a, 0x02b, 0x04a, 0x04b, 0x06a, 0x06b, 0x04e, 0x04f, 0x01a, 0x01b, 0x03a, 0x03b, 0x05a, 0x05b, 0x07a, 0x07b, 0x05e, 0x05f, 0x080, 0x081, 0x082, 0x083, 0x084, 0x085, 0x086, 0x087, 0x088, 0x089, 0x090, 0x091, 0x092, 0x093, 0x094, 0x095, 0x096, 0x097, 0x098, 0x099, 0x0a0, 0x0a1, 0x0a2, 0x0a3, 0x0a4, 0x0a5, 0x0a6, 0x0a7, 0x0a8, 0x0a9, 0x0b0, 0x0b1, 0x0b2, 0x0b3, 0x0b4, 0x0b5, 0x0b6, 0x0b7, 0x0b8, 0x0b9, 0x0c0, 0x0c1, 0x0c2, 0x0c3, 0x0c4, 0x0c5, 0x0c6, 0x0c7, 0x0c8, 0x0c9, 0x0d0, 0x0d1, 0x0d2, 0x0d3, 0x0d4, 0x0d5, 0x0d6, 0x0d7, 0x0d8, 0x0d9, 0x0e0, 0x0e1, 0x0e2, 0x0e3, 0x0e4, 0x0e5, 0x0e6, 0x0e7, 0x0e8, 0x0e9, 0x0f0, 0x0f1, 0x0f2, 0x0f3, 0x0f4, 0x0f5, 0x0f6, 0x0f7, 0x0f8, 0x0f9, 0x08a, 0x08b, 0x0aa, 0x0ab, 0x0ca, 0x0cb, 0x0ea, 0x0eb, 0x0ce, 0x0cf, 0x09a, 0x09b, 0x0ba, 0x0bb, 0x0da, 0x0db, 0x0fa, 0x0fb, 0x0de, 0x0df, 0x100, 0x101, 0x102, 0x103, 0x104, 0x105, 0x106, 0x107, 0x108, 0x109, 0x110, 0x111, 0x112, 0x113, 0x114, 0x115, 0x116, 0x117, 0x118, 0x119, 0x120, 0x121, 0x122, 0x123, 0x124, 0x125, 0x126, 0x127, 0x128, 0x129, 0x130, 0x131, 0x132, 0x133, 0x134, 0x135, 0x136, 0x137, 0x138, 0x139, 0x140, 0x141, 0x142, 0x143, 0x144, 0x145, 0x146, 0x147, 0x148, 0x149, 0x150, 0x151, 0x152, 0x153, 0x154, 0x155, 0x156, 0x157, 0x158, 0x159, 0x160, 0x161, 0x162, 0x163, 0x164, 0x165, 0x166, 0x167, 0x168, 0x169, 0x170, 0x171, 0x172, 0x173, 0x174, 0x175, 0x176, 0x177, 0x178, 0x179, 0x10a, 0x10b, 0x12a, 0x12b, 0x14a, 0x14b, 0x16a, 0x16b, 0x14e, 0x14f, 0x11a, 0x11b, 0x13a, 0x13b, 0x15a, 0x15b, 0x17a, 0x17b, 0x15e, 0x15f, 0x180, 0x181, 0x182, 0x183, 0x184, 0x185, 0x186, 0x187, 0x188, 0x189, 0x190, 0x191, 0x192, 0x193, 0x194, 0x195, 0x196, 0x197, 0x198, 0x199, 0x1a0, 0x1a1, 0x1a2, 0x1a3, 0x1a4, 0x1a5, 0x1a6, 0x1a7, 0x1a8, 0x1a9, 0x1b0, 0x1b1, 0x1b2, 0x1b3, 0x1b4, 0x1b5, 0x1b6, 0x1b7, 0x1b8, 0x1b9, 0x1c0, 0x1c1, 0x1c2, 0x1c3, 0x1c4, 0x1c5, 0x1c6, 0x1c7, 0x1c8, 0x1c9, 0x1d0, 0x1d1, 0x1d2, 0x1d3, 0x1d4, 0x1d5, 0x1d6, 0x1d7, 0x1d8, 0x1d9, 0x1e0, 0x1e1, 0x1e2, 0x1e3, 0x1e4, 0x1e5, 0x1e6, 0x1e7, 0x1e8, 0x1e9, 0x1f0, 0x1f1, 0x1f2, 0x1f3, 0x1f4, 0x1f5, 0x1f6, 0x1f7, 0x1f8, 0x1f9, 0x18a, 0x18b, 0x1aa, 0x1ab, 0x1ca, 0x1cb, 0x1ea, 0x1eb, 0x1ce, 0x1cf, 0x19a, 0x19b, 0x1ba, 0x1bb, 0x1da, 0x1db, 0x1fa, 0x1fb, 0x1de, 0x1df, 0x200, 0x201, 0x202, 0x203, 0x204, 0x205, 0x206, 0x207, 0x208, 0x209, 0x210, 0x211, 0x212, 0x213, 0x214, 0x215, 0x216, 0x217, 0x218, 0x219, 0x220, 0x221, 0x222, 0x223, 0x224, 0x225, 0x226, 0x227, 0x228, 0x229, 0x230, 0x231, 0x232, 0x233, 0x234, 0x235, 0x236, 0x237, 0x238, 0x239, 0x240, 0x241, 0x242, 0x243, 0x244, 0x245, 0x246, 0x247, 0x248, 0x249, 0x250, 0x251, 0x252, 0x253, 0x254, 0x255, 0x256, 0x257, 0x258, 0x259, 0x260, 0x261, 0x262, 0x263, 0x264, 0x265, 0x266, 0x267, 0x268, 0x269, 0x270, 0x271, 0x272, 0x273, 0x274, 0x275, 0x276, 0x277, 0x278, 0x279, 0x20a, 0x20b, 0x22a, 0x22b, 0x24a, 0x24b, 0x26a, 0x26b, 0x24e, 0x24f, 0x21a, 0x21b, 0x23a, 0x23b, 0x25a, 0x25b, 0x27a, 0x27b, 0x25e, 0x25f, 0x280, 0x281, 0x282, 0x283, 0x284, 0x285, 0x286, 0x287, 0x288, 0x289, 0x290, 0x291, 0x292, 0x293, 0x294, 0x295, 0x296, 0x297, 0x298, 0x299, 0x2a0, 0x2a1, 0x2a2, 0x2a3, 0x2a4, 0x2a5, 0x2a6, 0x2a7, 0x2a8, 0x2a9, 0x2b0, 0x2b1, 0x2b2, 0x2b3, 0x2b4, 0x2b5, 0x2b6, 0x2b7, 0x2b8, 0x2b9, 0x2c0, 0x2c1, 0x2c2, 0x2c3, 0x2c4, 0x2c5, 0x2c6, 0x2c7, 0x2c8, 0x2c9, 0x2d0, 0x2d1, 0x2d2, 0x2d3, 0x2d4, 0x2d5, 0x2d6, 0x2d7, 0x2d8, 0x2d9, 0x2e0, 0x2e1, 0x2e2, 0x2e3, 0x2e4, 0x2e5, 0x2e6, 0x2e7, 0x2e8, 0x2e9, 0x2f0, 0x2f1, 0x2f2, 0x2f3, 0x2f4, 0x2f5, 0x2f6, 0x2f7, 0x2f8, 0x2f9, 0x28a, 0x28b, 0x2aa, 0x2ab, 0x2ca, 0x2cb, 0x2ea, 0x2eb, 0x2ce, 0x2cf, 0x29a, 0x29b, 0x2ba, 0x2bb, 0x2da, 0x2db, 0x2fa, 0x2fb, 0x2de, 0x2df, 0x300, 0x301, 0x302, 0x303, 0x304, 0x305, 0x306, 0x307, 0x308, 0x309, 0x310, 0x311, 0x312, 0x313, 0x314, 0x315, 0x316, 0x317, 0x318, 0x319, 0x320, 0x321, 0x322, 0x323, 0x324, 0x325, 0x326, 0x327, 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