/* mpfr_set_decimal64 -- convert a IEEE 754r decimal64 float to a multiple precision floating-point number See http://gcc.gnu.org/ml/gcc/2006-06/msg00691.html, http://gcc.gnu.org/onlinedocs/gcc/Decimal-Float.html, and TR 24732 . Copyright 2006, 2007, 2008, 2009 Free Software Foundation, Inc. Contributed by the Arenaire and Cacao projects, INRIA. This file is part of the GNU MPFR Library. The GNU MPFR Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The GNU MPFR Library 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 Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU MPFR Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #define MPFR_NEED_LONGLONG_H #include "mpfr-impl.h" #ifdef MPFR_WANT_DECIMAL_FLOATS #ifdef DPD_FORMAT /* conversion 10-bits to 3 digits */ static unsigned int T[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 }; #endif /* Convert d to a decimal string (one-to-one correspondence, no rounding). The string s needs to have at least 23 characters. */ static void decimal64_to_string (char *s, _Decimal64 d) { union ieee_double_extract x; union ieee_double_decimal64 y; char *t; unsigned int Gh; /* most 5 significant bits from combination field */ int exp; /* exponent */ mp_limb_t rp[2]; mp_size_t rn = 2; unsigned int i; #ifdef DPD_FORMAT unsigned int d0, d1, d2, d3, d4, d5; #endif /* now convert BID or DPD to string */ y.d64 = d; x.d = y.d; Gh = x.s.exp >> 6; if (Gh == 31) { sprintf (s, "NaN"); return; } else if (Gh == 30) { if (x.s.sig == 0) sprintf (s, "Inf"); else sprintf (s, "-Inf"); return; } t = s; if (x.s.sig) *t++ = '-'; #ifdef DPD_FORMAT if (Gh < 24) { exp = (x.s.exp >> 1) & 768; d0 = Gh & 7; } else { exp = (x.s.exp & 384) << 1; d0 = 8 | (Gh & 1); } exp |= (x.s.exp & 63) << 2; exp |= x.s.manh >> 18; d1 = (x.s.manh >> 8) & 1023; d2 = ((x.s.manh << 2) | (x.s.manl >> 30)) & 1023; d3 = (x.s.manl >> 20) & 1023; d4 = (x.s.manl >> 10) & 1023; d5 = x.s.manl & 1023; sprintf (t, "%1u%3u%3u%3u%3u%3u", d0, T[d1], T[d2], T[d3], T[d4], T[d5]); /* Warning: some characters may be blank */ for (i = 0; i < 16; i++) if (t[i] == ' ') t[i] = '0'; t += 16; #else /* BID */ if (Gh < 24) { /* the biased exponent E is formed from G[0] to G[9] and the significand from bits G[10] through the end of the decoding */ exp = x.s.exp >> 1; /* manh has 20 bits, manl has 32 bits */ rp[1] = ((x.s.exp & 1) << 20) | x.s.manh; rp[0] = x.s.manl; } else { /* the biased exponent is formed from G[2] to G[11] */ exp = (x.s.exp & 511) << 1; rp[1] = x.s.manh; rp[0] = x.s.manl; exp |= rp[1] >> 19; rp[1] &= 524287; /* 2^19-1: cancel G[11] */ rp[1] |= 2097152; /* add 2^21 */ } #if BITS_PER_MP_LIMB >= 54 rp[0] |= rp[1] << 32; rn = 1; #endif while (rn > 0 && rp[rn - 1] == 0) rn --; if (rn == 0) { *t = 0; i = 1; } else { i = mpn_get_str (t, 10, rp, rn); } while (i-- > 0) *t++ += '0'; #endif /* DPD or BID */ exp -= 398; /* unbiased exponent */ t += sprintf (t, "E%d", exp); } int mpfr_set_decimal64 (mpfr_ptr r, _Decimal64 d, mp_rnd_t rnd_mode) { char s[23]; /* need 1 character for sign, 16 characters for mantissa, 1 character for exponent, 4 characters for exponent (including sign), 1 character for terminating \0. */ decimal64_to_string (s, d); return mpfr_set_str (r, s, 10, rnd_mode); } #endif /* MPFR_WANT_DECIMAL_FLOATS */