diff options
Diffstat (limited to 'gcc-4.9/libgcc/config/libbid/bid_decimal_data.c')
| -rw-r--r-- | gcc-4.9/libgcc/config/libbid/bid_decimal_data.c | 1293 |
1 files changed, 1293 insertions, 0 deletions
diff --git a/gcc-4.9/libgcc/config/libbid/bid_decimal_data.c b/gcc-4.9/libgcc/config/libbid/bid_decimal_data.c new file mode 100644 index 000000000..36bdf1afe --- /dev/null +++ b/gcc-4.9/libgcc/config/libbid/bid_decimal_data.c @@ -0,0 +1,1293 @@ +/* Copyright (C) 2007-2014 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 +<http://www.gnu.org/licenses/>. */ + +#include "bid_internal.h" + +UINT64 round_const_table[][19] = { + { // RN + 0ull, // 0 extra digits + 5ull, // 1 extra digits + 50ull, // 2 extra digits + 500ull, // 3 extra digits + 5000ull, // 4 extra digits + 50000ull, // 5 extra digits + 500000ull, // 6 extra digits + 5000000ull, // 7 extra digits + 50000000ull, // 8 extra digits + 500000000ull, // 9 extra digits + 5000000000ull, // 10 extra digits + 50000000000ull, // 11 extra digits + 500000000000ull, // 12 extra digits + 5000000000000ull, // 13 extra digits + 50000000000000ull, // 14 extra digits + 500000000000000ull, // 15 extra digits + 5000000000000000ull, // 16 extra digits + 50000000000000000ull, // 17 extra digits + 500000000000000000ull // 18 extra digits + } + , + { // RD + 0ull, // 0 extra digits + 0ull, // 1 extra digits + 0ull, // 2 extra digits + 00ull, // 3 extra digits + 000ull, // 4 extra digits + 0000ull, // 5 extra digits + 00000ull, // 6 extra digits + 000000ull, // 7 extra digits + 0000000ull, // 8 extra digits + 00000000ull, // 9 extra digits + 000000000ull, // 10 extra digits + 0000000000ull, // 11 extra digits + 00000000000ull, // 12 extra digits + 000000000000ull, // 13 extra digits + 0000000000000ull, // 14 extra digits + 00000000000000ull, // 15 extra digits + 000000000000000ull, // 16 extra digits + 0000000000000000ull, // 17 extra digits + 00000000000000000ull // 18 extra digits + } + , + { // round to Inf + 0ull, // 0 extra digits + 9ull, // 1 extra digits + 99ull, // 2 extra digits + 999ull, // 3 extra digits + 9999ull, // 4 extra digits + 99999ull, // 5 extra digits + 999999ull, // 6 extra digits + 9999999ull, // 7 extra digits + 99999999ull, // 8 extra digits + 999999999ull, // 9 extra digits + 9999999999ull, // 10 extra digits + 99999999999ull, // 11 extra digits + 999999999999ull, // 12 extra digits + 9999999999999ull, // 13 extra digits + 99999999999999ull, // 14 extra digits + 999999999999999ull, // 15 extra digits + 9999999999999999ull, // 16 extra digits + 99999999999999999ull, // 17 extra digits + 999999999999999999ull // 18 extra digits + } + , + { // RZ + 0ull, // 0 extra digits + 0ull, // 1 extra digits + 0ull, // 2 extra digits + 00ull, // 3 extra digits + 000ull, // 4 extra digits + 0000ull, // 5 extra digits + 00000ull, // 6 extra digits + 000000ull, // 7 extra digits + 0000000ull, // 8 extra digits + 00000000ull, // 9 extra digits + 000000000ull, // 10 extra digits + 0000000000ull, // 11 extra digits + 00000000000ull, // 12 extra digits + 000000000000ull, // 13 extra digits + 0000000000000ull, // 14 extra digits + 00000000000000ull, // 15 extra digits + 000000000000000ull, // 16 extra digits + 0000000000000000ull, // 17 extra digits + 00000000000000000ull // 18 extra digits + } + , + { // round ties away from 0 + 0ull, // 0 extra digits + 5ull, // 1 extra digits + 50ull, // 2 extra digits + 500ull, // 3 extra digits + 5000ull, // 4 extra digits + 50000ull, // 5 extra digits + 500000ull, // 6 extra digits + 5000000ull, // 7 extra digits + 50000000ull, // 8 extra digits + 500000000ull, // 9 extra digits + 5000000000ull, // 10 extra digits + 50000000000ull, // 11 extra digits + 500000000000ull, // 12 extra digits + 5000000000000ull, // 13 extra digits + 50000000000000ull, // 14 extra digits + 500000000000000ull, // 15 extra digits + 5000000000000000ull, // 16 extra digits + 50000000000000000ull, // 17 extra digits + 500000000000000000ull // 18 extra digits + } + , +}; + +UINT128 round_const_table_128[][36] = { + { //RN + {{0ull, 0ull} + } + , // 0 extra digits + {{5ull, 0ull} + } + , // 1 extra digits + {{50ull, 0ull} + } + , // 2 extra digits + {{500ull, 0ull} + } + , // 3 extra digits + {{5000ull, 0ull} + } + , // 4 extra digits + {{50000ull, 0ull} + } + , // 5 extra digits + {{500000ull, 0ull} + } + , // 6 extra digits + {{5000000ull, 0ull} + } + , // 7 extra digits + {{50000000ull, 0ull} + } + , // 8 extra digits + {{500000000ull, 0ull} + } + , // 9 extra digits + {{5000000000ull, 0ull} + } + , // 10 extra digits + {{50000000000ull, 0ull} + } + , // 11 extra digits + {{500000000000ull, 0ull} + } + , // 12 extra digits + {{5000000000000ull, 0ull} + } + , // 13 extra digits + {{50000000000000ull, 0ull} + } + , // 14 extra digits + {{500000000000000ull, 0ull} + } + , // 15 extra digits + {{5000000000000000ull, 0ull} + } + , // 16 extra digits + {{50000000000000000ull, 0ull} + } + , // 17 extra digits + {{500000000000000000ull, 0ull} + } + , // 18 extra digits + {{5000000000000000000ull, 0ull} + } + , // 19 extra digits + {{0xb5e3af16b1880000ull, 2ull} + } + , //20 + {{0x1ae4d6e2ef500000ull, 27ull} + } + , //21 + {{0xcf064dd59200000ull, 271ull} + } + , //22 + {{0x8163f0a57b400000ull, 2710ull} + } + , //23 + {{0xde76676d0800000ull, 27105ull} + } + , //24 + {{0x8b0a00a425000000ull, 0x422caull} + } + , //25 + {{0x6e64066972000000ull, 0x295be9ull} + } + , //26 + {{0x4fe8401e74000000ull, 0x19d971eull} + } + , //27 + {{0x1f12813088000000ull, 0x1027e72full} + } + , //28 + {{0x36b90be550000000ull, 0xa18f07d7ull} + } + , //29 + {{0x233a76f520000000ull, 0x64f964e68ull} + } + , //30 + {{0x6048a59340000000ull, 0x3f1bdf1011ull} + } + , //31 + {{0xc2d677c080000000ull, 0x27716b6a0adull} + } + , //32 + {{0x9c60ad8500000000ull, 0x18a6e32246c9ull} + } + , //33 + {{0x1bc6c73200000000ull, 0xf684df56c3e0ull} + } + , //34 + {{0x15c3c7f400000000ull, 0x9a130b963a6c1ull} + } + , //35 + } + , + { //RD + {{0ull, 0ull} + } + , // 0 extra digits + {{0ull, 0ull} + } + , // 1 extra digits + {{0ull, 0ull} + } + , // 2 extra digits + {{00ull, 0ull} + } + , // 3 extra digits + {{000ull, 0ull} + } + , // 4 extra digits + {{0000ull, 0ull} + } + , // 5 extra digits + {{00000ull, 0ull} + } + , // 6 extra digits + {{000000ull, 0ull} + } + , // 7 extra digits + {{0000000ull, 0ull} + } + , // 8 extra digits + {{00000000ull, 0ull} + } + , // 9 extra digits + {{000000000ull, 0ull} + } + , // 10 extra digits + {{0000000000ull, 0ull} + } + , // 11 extra digits + {{00000000000ull, 0ull} + } + , // 12 extra digits + {{000000000000ull, 0ull} + } + , // 13 extra digits + {{0000000000000ull, 0ull} + } + , // 14 extra digits + {{00000000000000ull, 0ull} + } + , // 15 extra digits + {{000000000000000ull, 0ull} + } + , // 16 extra digits + {{0000000000000000ull, 0ull} + } + , // 17 extra digits + {{00000000000000000ull, 0ull} + } + , // 18 extra digits + {{000000000000000000ull, 0ull} + } + , // 19 extra digits + {{0ull, 0ull} + } + , //20 + {{0ull, 0ull} + } + , //21 + {{0ull, 0ull} + } + , //22 + {{0ull, 0ull} + } + , //23 + {{0ull, 0ull} + } + , //24 + {{0ull, 0ull} + } + , //25 + {{0ull, 0ull} + } + , //26 + {{0ull, 0ull} + } + , //27 + {{0ull, 0ull} + } + , //28 + {{0ull, 0ull} + } + , //29 + {{0ull, 0ull} + } + , //30 + {{0ull, 0ull} + } + , //31 + {{0ull, 0ull} + } + , //32 + {{0ull, 0ull} + } + , //33 + {{0ull, 0ull} + } + , //34 + {{0ull, 0ull} + } + , //35 + } + , + { //RU + {{0ull, 0ull} + } + , // 0 extra digits + {{9ull, 0ull} + } + , // 1 extra digits + {{99ull, 0ull} + } + , // 2 extra digits + {{999ull, 0ull} + } + , // 3 extra digits + {{9999ull, 0ull} + } + , // 4 extra digits + {{99999ull, 0ull} + } + , // 5 extra digits + {{999999ull, 0ull} + } + , // 6 extra digits + {{9999999ull, 0ull} + } + , // 7 extra digits + {{99999999ull, 0ull} + } + , // 8 extra digits + {{999999999ull, 0ull} + } + , // 9 extra digits + {{9999999999ull, 0ull} + } + , // 10 extra digits + {{99999999999ull, 0ull} + } + , // 11 extra digits + {{999999999999ull, 0ull} + } + , // 12 extra digits + {{9999999999999ull, 0ull} + } + , // 13 extra digits + {{99999999999999ull, 0ull} + } + , // 14 extra digits + {{999999999999999ull, 0ull} + } + , // 15 extra digits + {{9999999999999999ull, 0ull} + } + , // 16 extra digits + {{99999999999999999ull, 0ull} + } + , // 17 extra digits + {{999999999999999999ull, 0ull} + } + , // 18 extra digits + {{9999999999999999999ull, 0ull} + } + , // 19 extra digits + {{0x6BC75E2D630FFFFFull, 0x5ull} + } + , //20 + {{0x35C9ADC5DE9FFFFFull, 0x36ull} + } + , //21 + {{0x19E0C9BAB23FFFFFull, 0x21eull} + } + , //22 + {{0x2C7E14AF67FFFFFull, 0x152dull} + } + , //23 + {{0x1BCECCEDA0FFFFFFull, 0xd3c2ull} + } + , //24 + {{0x1614014849FFFFFFull, 0x84595ull} + } + , //25 + {{0xDCC80CD2E3FFFFFFull, 0x52b7d2ull} + } + , //26 + {{0x9FD0803CE7FFFFFFull, 0x33B2E3Cull} + } + , //27 + {{0x3E2502610FFFFFFFull, 0x204FCE5Eull} + } + , //28 + {{0x6D7217CA9FFFFFFFull, 0x1431E0FAEull} + } + , //29 + {{0x4674EDEA3FFFFFFFull, 0xC9F2C9CD0ull} + } + , //30 + {{0xC0914B267FFFFFFFull, 0x7E37BE2022ull} + } + , //31 + {{0x85ACEF80FFFFFFFFull, 0x4EE2D6D415Bull} + } + , //32 + {{0x38c15b09ffffffffull, 0x314dc6448d93ull} + } + , //33 + {{0x378d8e63ffffffffull, 0x1ed09bead87c0ull} + } + , //34 + {{0x2b878fe7ffffffffull, 0x13426172c74d82ull} + } + , //35 + } + , + { //RZ + {{0ull, 0ull} + } + , // 0 extra digits + {{0ull, 0ull} + } + , // 1 extra digits + {{0ull, 0ull} + } + , // 2 extra digits + {{00ull, 0ull} + } + , // 3 extra digits + {{000ull, 0ull} + } + , // 4 extra digits + {{0000ull, 0ull} + } + , // 5 extra digits + {{00000ull, 0ull} + } + , // 6 extra digits + {{000000ull, 0ull} + } + , // 7 extra digits + {{0000000ull, 0ull} + } + , // 8 extra digits + {{00000000ull, 0ull} + } + , // 9 extra digits + {{000000000ull, 0ull} + } + , // 10 extra digits + {{0000000000ull, 0ull} + } + , // 11 extra digits + {{00000000000ull, 0ull} + } + , // 12 extra digits + {{000000000000ull, 0ull} + } + , // 13 extra digits + {{0000000000000ull, 0ull} + } + , // 14 extra digits + {{00000000000000ull, 0ull} + } + , // 15 extra digits + {{000000000000000ull, 0ull} + } + , // 16 extra digits + {{0000000000000000ull, 0ull} + } + , // 17 extra digits + {{00000000000000000ull, 0ull} + } + , // 18 extra digits + {{000000000000000000ull, 0ull} + } + , // 19 extra digits + {{0ull, 0ull} + } + , //20 + {{0ull, 0ull} + } + , //21 + {{0ull, 0ull} + } + , //22 + {{0ull, 0ull} + } + , //23 + {{0ull, 0ull} + } + , //24 + {{0ull, 0ull} + } + , //25 + {{0ull, 0ull} + } + , //26 + {{0ull, 0ull} + } + , //27 + {{0ull, 0ull} + } + , //28 + {{0ull, 0ull} + } + , //29 + {{0ull, 0ull} + } + , //30 + {{0ull, 0ull} + } + , //31 + {{0ull, 0ull} + } + , //32 + {{0ull, 0ull} + } + , //33 + {{0ull, 0ull} + } + , //34 + {{0ull, 0ull} + } + , //35 + } + , + { //RN, ties away + {{0ull, 0ull} + } + , // 0 extra digits + {{5ull, 0ull} + } + , // 1 extra digits + {{50ull, 0ull} + } + , // 2 extra digits + {{500ull, 0ull} + } + , // 3 extra digits + {{5000ull, 0ull} + } + , // 4 extra digits + {{50000ull, 0ull} + } + , // 5 extra digits + {{500000ull, 0ull} + } + , // 6 extra digits + {{5000000ull, 0ull} + } + , // 7 extra digits + {{50000000ull, 0ull} + } + , // 8 extra digits + {{500000000ull, 0ull} + } + , // 9 extra digits + {{5000000000ull, 0ull} + } + , // 10 extra digits + {{50000000000ull, 0ull} + } + , // 11 extra digits + {{500000000000ull, 0ull} + } + , // 12 extra digits + {{5000000000000ull, 0ull} + } + , // 13 extra digits + {{50000000000000ull, 0ull} + } + , // 14 extra digits + {{500000000000000ull, 0ull} + } + , // 15 extra digits + {{5000000000000000ull, 0ull} + } + , // 16 extra digits + {{50000000000000000ull, 0ull} + } + , // 17 extra digits + {{500000000000000000ull, 0ull} + } + , // 18 extra digits + {{5000000000000000000ull, 0ull} + } + , // 19 extra digits + {{0xb5e3af16b1880000ull, 2ull} + } + , //20 + {{0x1ae4d6e2ef500000ull, 27ull} + } + , //21 + {{0xcf064dd59200000ull, 271ull} + } + , //22 + {{0x8163f0a57b400000ull, 2710ull} + } + , //23 + {{0xde76676d0800000ull, 27105ull} + } + , //24 + {{0x8b0a00a425000000ull, 0x422caull} + } + , //25 + {{0x6e64066972000000ull, 0x295be9ull} + } + , //26 + {{0x4fe8401e74000000ull, 0x19d971eull} + } + , //27 + {{0x1f12813088000000ull, 0x1027e72full} + } + , //28 + {{0x36b90be550000000ull, 0xa18f07d7ull} + } + , //29 + {{0x233a76f520000000ull, 0x64f964e68ull} + } + , //30 + {{0x6048a59340000000ull, 0x3f1bdf1011ull} + } + , //31 + {{0xc2d677c080000000ull, 0x27716b6a0adull} + } + , //32 + {{0x9c60ad8500000000ull, 0x18a6e32246c9ull} + } + , //33 + {{0x1bc6c73200000000ull, 0xf684df56c3e0ull} + } + , //34 + {{0x15c3c7f400000000ull, 0x9a130b963a6c1ull} + } + , //35 + } +}; + + +UINT128 reciprocals10_128[] = { + {{0ull, 0ull} + } + , // 0 extra digits + {{0x3333333333333334ull, 0x3333333333333333ull} + } + , // 1 extra digit + {{0x51eb851eb851eb86ull, 0x051eb851eb851eb8ull} + } + , // 2 extra digits + {{0x3b645a1cac083127ull, 0x0083126e978d4fdfull} + } + , // 3 extra digits + {{0x4af4f0d844d013aaULL, 0x00346dc5d6388659ULL} + } + , // 10^(-4) * 2^131 + {{0x08c3f3e0370cdc88ULL, 0x0029f16b11c6d1e1ULL} + } + , // 10^(-5) * 2^134 + {{0x6d698fe69270b06dULL, 0x00218def416bdb1aULL} + } + , // 10^(-6) * 2^137 + {{0xaf0f4ca41d811a47ULL, 0x0035afe535795e90ULL} + } + , // 10^(-7) * 2^141 + {{0xbf3f70834acdaea0ULL, 0x002af31dc4611873ULL} + } + , // 10^(-8) * 2^144 + {{0x65cc5a02a23e254dULL, 0x00225c17d04dad29ULL} + } + , // 10^(-9) * 2^147 + {{0x6fad5cd10396a214ULL, 0x0036f9bfb3af7b75ULL} + } + , // 10^(-10) * 2^151 + {{0xbfbde3da69454e76ULL, 0x002bfaffc2f2c92aULL} + } + , // 10^(-11) * 2^154 + {{0x32fe4fe1edd10b92ULL, 0x00232f33025bd422ULL} + } + , // 10^(-12) * 2^157 + {{0x84ca19697c81ac1cULL, 0x00384b84d092ed03ULL} + } + , // 10^(-13) * 2^161 + {{0x03d4e1213067bce4ULL, 0x002d09370d425736ULL} + } + , // 10^(-14) * 2^164 + {{0x3643e74dc052fd83ULL, 0x0024075f3dceac2bULL} + } + , // 10^(-15) * 2^167 + {{0x56d30baf9a1e626bULL, 0x0039a5652fb11378ULL} + } + , // 10^(-16) * 2^171 + {{0x12426fbfae7eb522ULL, 0x002e1dea8c8da92dULL} + } + , // 10^(-17) * 2^174 + {{0x41cebfcc8b9890e8ULL, 0x0024e4bba3a48757ULL} + } + , // 10^(-18) * 2^177 + {{0x694acc7a78f41b0dULL, 0x003b07929f6da558ULL} + } + , // 10^(-19) * 2^181 + {{0xbaa23d2ec729af3eULL, 0x002f394219248446ULL} + } + , // 10^(-20) * 2^184 + {{0xfbb4fdbf05baf298ULL, 0x0025c768141d369eULL} + } + , // 10^(-21) * 2^187 + {{0x2c54c931a2c4b759ULL, 0x003c7240202ebdcbULL} + } + , // 10^(-22) * 2^191 + {{0x89dd6dc14f03c5e1ULL, 0x00305b66802564a2ULL} + } + , // 10^(-23) * 2^194 + {{0xd4b1249aa59c9e4eULL, 0x0026af8533511d4eULL} + } + , // 10^(-24) * 2^197 + {{0x544ea0f76f60fd49ULL, 0x003de5a1ebb4fbb1ULL} + } + , // 10^(-25) * 2^201 + {{0x76a54d92bf80caa1ULL, 0x00318481895d9627ULL} + } + , // 10^(-26) * 2^204 + {{0x921dd7a89933d54eULL, 0x00279d346de4781fULL} + } + , // 10^(-27) * 2^207 + {{0x8362f2a75b862215ULL, 0x003f61ed7ca0c032ULL} + } + , // 10^(-28) * 2^211 + {{0xcf825bb91604e811ULL, 0x0032b4bdfd4d668eULL} + } + , // 10^(-29) * 2^214 + {{0x0c684960de6a5341ULL, 0x00289097fdd7853fULL} + } + , // 10^(-30) * 2^217 + {{0x3d203ab3e521dc34ULL, 0x002073accb12d0ffULL} + } + , // 10^(-31) * 2^220 + {{0x2e99f7863b696053ULL, 0x0033ec47ab514e65ULL} + } + , // 10^(-32) * 2^224 + {{0x587b2c6b62bab376ULL, 0x002989d2ef743eb7ULL} + } + , // 10^(-33) * 2^227 + {{0xad2f56bc4efbc2c5ULL, 0x00213b0f25f69892ULL} + } + , // 10^(-34) * 2^230 + {{0x0f2abc9d8c9689d1ull, 0x01a95a5b7f87a0efull} + } + , // 35 extra digits +}; + + +int recip_scale[] = { + 129 - 128, // 1 + 129 - 128, // 1/10 + 129 - 128, // 1/10^2 + 129 - 128, // 1/10^3 + 3, // 131 - 128 + 6, // 134 - 128 + 9, // 137 - 128 + 13, // 141 - 128 + 16, // 144 - 128 + 19, // 147 - 128 + 23, // 151 - 128 + 26, // 154 - 128 + 29, // 157 - 128 + 33, // 161 - 128 + 36, // 164 - 128 + 39, // 167 - 128 + 43, // 171 - 128 + 46, // 174 - 128 + 49, // 177 - 128 + 53, // 181 - 128 + 56, // 184 - 128 + 59, // 187 - 128 + 63, // 191 - 128 + + 66, // 194 - 128 + 69, // 197 - 128 + 73, // 201 - 128 + 76, // 204 - 128 + 79, // 207 - 128 + 83, // 211 - 128 + 86, // 214 - 128 + 89, // 217 - 128 + 92, // 220 - 128 + 96, // 224 - 128 + 99, // 227 - 128 + 102, // 230 - 128 + 109, // 237 - 128, 1/10^35 +}; + + +// tables used in computation +int estimate_decimal_digits[129] = { + 1, //2^0 =1 < 10^0 + 1, //2^1 =2 < 10^1 + 1, //2^2 =4 < 10^1 + 1, //2^3 =8 < 10^1 + 2, //2^4 =16 < 10^2 + 2, //2^5 =32 < 10^2 + 2, //2^6 =64 < 10^2 + 3, //2^7 =128 < 10^3 + 3, //2^8 =256 < 10^3 + 3, //2^9 =512 < 10^3 + 4, //2^10=1024 < 10^4 + 4, //2^11=2048 < 10^4 + 4, //2^12=4096 < 10^4 + 4, //2^13=8192 < 10^4 + 5, //2^14=16384 < 10^5 + 5, //2^15=32768 < 10^5 + + 5, //2^16=65536 < 10^5 + 6, //2^17=131072 < 10^6 + 6, //2^18=262144 < 10^6 + 6, //2^19=524288 < 10^6 + 7, //2^20=1048576 < 10^7 + 7, //2^21=2097152 < 10^7 + 7, //2^22=4194304 < 10^7 + 7, //2^23=8388608 < 10^7 + 8, //2^24=16777216 < 10^8 + 8, //2^25=33554432 < 10^8 + 8, //2^26=67108864 < 10^8 + 9, //2^27=134217728 < 10^9 + 9, //2^28=268435456 < 10^9 + 9, //2^29=536870912 < 10^9 + 10, //2^30=1073741824< 10^10 + 10, //2^31=2147483648< 10^10 + + 10, //2^32=4294967296 < 10^10 + 10, //2^33=8589934592 < 10^10 + 11, //2^34=17179869184 < 10^11 + 11, //2^35=34359738368 < 10^11 + 11, //2^36=68719476736 < 10^11 + 12, //2^37=137438953472 < 10^12 + 12, //2^38=274877906944 < 10^12 + 12, //2^39=549755813888 < 10^12 + 13, //2^40=1099511627776 < 10^13 + 13, //2^41=2199023255552 < 10^13 + 13, //2^42=4398046511104 < 10^13 + 13, //2^43=8796093022208 < 10^13 + 14, //2^44=17592186044416 < 10^14 + 14, //2^45=35184372088832 < 10^14 + 14, //2^46=70368744177664 < 10^14 + 15, //2^47=140737488355328< 10^15 + + 15, //2^48=281474976710656 < 10^15 + 15, //2^49=562949953421312 < 10^15 + 16, //2^50=1125899906842624 < 10^16 + 16, //2^51=2251799813685248 < 10^16 + 16, //2^52=4503599627370496 < 10^16 + 16, //2^53=9007199254740992 < 10^16 + 17, //2^54=18014398509481984 < 10^17 + 17, //2^55=36028797018963968 < 10^17 + 17, //2^56=72057594037927936 < 10^17 + 18, //2^57=144115188075855872 < 10^18 + 18, //2^58=288230376151711744 < 10^18 + 18, //2^59=576460752303423488 < 10^18 + 19, //2^60=1152921504606846976< 10^19 + 19, //2^61=2305843009213693952< 10^19 + 19, //2^62=4611686018427387904< 10^19 + 19, //2^63=9223372036854775808< 10^19 + + 20, //2^64=18446744073709551616 + 20, //2^65=36893488147419103232 + 20, //2^66=73786976294838206464 + 21, //2^67=147573952589676412928 + 21, //2^68=295147905179352825856 + 21, //2^69=590295810358705651712 + 22, //2^70=1180591620717411303424 + 22, //2^71=2361183241434822606848 + 22, //2^72=4722366482869645213696 + 22, //2^73=9444732965739290427392 + 23, //2^74=18889465931478580854784 + 23, //2^75=37778931862957161709568 + 23, //2^76=75557863725914323419136 + 24, //2^77=151115727451828646838272 + 24, //2^78=302231454903657293676544 + 24, //2^79=604462909807314587353088 + + 25, //2^80=1208925819614629174706176 + 25, //2^81=2417851639229258349412352 + 25, //2^82=4835703278458516698824704 + 25, //2^83=9671406556917033397649408 + 26, //2^84=19342813113834066795298816 + 26, //2^85=38685626227668133590597632 + 26, //2^86=77371252455336267181195264 + 27, //2^87=154742504910672534362390528 + 27, //2^88=309485009821345068724781056 + 27, //2^89=618970019642690137449562112 + 28, //2^90=1237940039285380274899124224 + 28, //2^91=2475880078570760549798248448 + 28, //2^92=4951760157141521099596496896 + 28, //2^93=9903520314283042199192993792 + 29, //2^94=19807040628566084398385987584 + 29, //2^95=39614081257132168796771975168 + 29, //2^96=79228162514264337593543950336 + + 30, //2^97=158456325028528675187087900672 + 30, //2^98=316912650057057350374175801344 + 30, //2^99=633825300114114700748351602688 + 31, //2^100=1267650600228229401496703205376 + 31, //2^101=2535301200456458802993406410752 + 31, //2^102=5070602400912917605986812821504 + 32, //2^103=10141204801825835211973625643008 + 32, //2^104=20282409603651670423947251286016 + 32, //2^105=40564819207303340847894502572032 + 32, //2^106=81129638414606681695789005144064 + 33, //2^107=162259276829213363391578010288128 + 33, // 2^108 + 33, // 2^109 + 34, // 2^110 + 34, // 2^111 + 34, // 2^112 + 35, // 2^113 + 35, // 2^114 + 35, // 2^115 + 35, // 2^116 + 36, // 2^117 + 36, // 2^118 + 36, // 2^119 + 37, // 2^120 + 37, // 2^121 + 37, // 2^122 + 38, // 2^123 + 38, // 2^124 + 38, // 2^125 + 38, // 2^126 + 39, // 2^127 + 39 // 2^128 +}; + + +UINT128 power10_table_128[] = { + {{0x0000000000000001ull, 0x0000000000000000ull}}, // 10^0 + {{0x000000000000000aull, 0x0000000000000000ull}}, // 10^1 + {{0x0000000000000064ull, 0x0000000000000000ull}}, // 10^2 + {{0x00000000000003e8ull, 0x0000000000000000ull}}, // 10^3 + {{0x0000000000002710ull, 0x0000000000000000ull}}, // 10^4 + {{0x00000000000186a0ull, 0x0000000000000000ull}}, // 10^5 + {{0x00000000000f4240ull, 0x0000000000000000ull}}, // 10^6 + {{0x0000000000989680ull, 0x0000000000000000ull}}, // 10^7 + {{0x0000000005f5e100ull, 0x0000000000000000ull}}, // 10^8 + {{0x000000003b9aca00ull, 0x0000000000000000ull}}, // 10^9 + {{0x00000002540be400ull, 0x0000000000000000ull}}, // 10^10 + {{0x000000174876e800ull, 0x0000000000000000ull}}, // 10^11 + {{0x000000e8d4a51000ull, 0x0000000000000000ull}}, // 10^12 + {{0x000009184e72a000ull, 0x0000000000000000ull}}, // 10^13 + {{0x00005af3107a4000ull, 0x0000000000000000ull}}, // 10^14 + {{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, // 10^15 + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, // 10^16 + {{0x016345785d8a0000ull, 0x0000000000000000ull}}, // 10^17 + {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, // 10^18 + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, // 10^19 + {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20 + {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23 + {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26 + {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29 + {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30 + {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33 + {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0xb34b9f1000000000ull, 0x00c097ce7bc90715ull}}, // 10^36 + {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 +}; + + +int estimate_bin_expon[] = { + 0, // 10^0 + 3, // 10^1 + 6, // 10^2 + 9, // 10^3 + 13, // 10^4 + 16, // 10^5 + 19, // 10^6 + 23, // 10^7 + 26, // 10^8 + 29, // 10^9 + 33, // 10^10 + 36, // 10^11 + 39, // 10^12 + 43, // 10^13 + 46, // 10^14 + 49, // 10^15 + 53 // 10^16 +}; + + +UINT64 power10_index_binexp[] = { + 0x000000000000000aull, + 0x000000000000000aull, + 0x000000000000000aull, + 0x000000000000000aull, + 0x0000000000000064ull, + 0x0000000000000064ull, + 0x0000000000000064ull, + 0x00000000000003e8ull, + 0x00000000000003e8ull, + 0x00000000000003e8ull, + 0x0000000000002710ull, + 0x0000000000002710ull, + 0x0000000000002710ull, + 0x0000000000002710ull, + 0x00000000000186a0ull, + 0x00000000000186a0ull, + 0x00000000000186a0ull, + 0x00000000000f4240ull, + 0x00000000000f4240ull, + 0x00000000000f4240ull, + 0x0000000000989680ull, + 0x0000000000989680ull, + 0x0000000000989680ull, + 0x0000000000989680ull, + 0x0000000005f5e100ull, + 0x0000000005f5e100ull, + 0x0000000005f5e100ull, + 0x000000003b9aca00ull, + 0x000000003b9aca00ull, + 0x000000003b9aca00ull, + 0x00000002540be400ull, + 0x00000002540be400ull, + 0x00000002540be400ull, + 0x00000002540be400ull, + 0x000000174876e800ull, + 0x000000174876e800ull, + 0x000000174876e800ull, + 0x000000e8d4a51000ull, + 0x000000e8d4a51000ull, + 0x000000e8d4a51000ull, + 0x000009184e72a000ull, + 0x000009184e72a000ull, + 0x000009184e72a000ull, + 0x000009184e72a000ull, + 0x00005af3107a4000ull, + 0x00005af3107a4000ull, + 0x00005af3107a4000ull, + 0x00038d7ea4c68000ull, + 0x00038d7ea4c68000ull, + 0x00038d7ea4c68000ull, + 0x002386f26fc10000ull, + 0x002386f26fc10000ull, + 0x002386f26fc10000ull, + 0x002386f26fc10000ull, + 0x016345785d8a0000ull, + 0x016345785d8a0000ull, + 0x016345785d8a0000ull, + 0x0de0b6b3a7640000ull, + 0x0de0b6b3a7640000ull, + 0x0de0b6b3a7640000ull, + 0x8ac7230489e80000ull, + 0x8ac7230489e80000ull, + 0x8ac7230489e80000ull, + 0x8ac7230489e80000ull +}; + + +int short_recip_scale[] = { + 1, + 65 - 64, + 69 - 64, + 71 - 64, + 75 - 64, + 78 - 64, + 81 - 64, + 85 - 64, + 88 - 64, + 91 - 64, + 95 - 64, + 98 - 64, + 101 - 64, + 105 - 64, + 108 - 64, + 111 - 64, + 115 - 64, //114 - 64 + 118 - 64 +}; + + +UINT64 reciprocals10_64[] = { + 1ull, // dummy value for 0 extra digits + 0x3333333333333334ull, // 1 extra digit + 0x51eb851eb851eb86ull, + 0x20c49ba5e353f7cfull, + 0x346dc5d63886594bull, + 0x29f16b11c6d1e109ull, + 0x218def416bdb1a6eull, + 0x35afe535795e90b0ull, + 0x2af31dc4611873c0ull, + 0x225c17d04dad2966ull, + 0x36f9bfb3af7b7570ull, + 0x2bfaffc2f2c92ac0ull, + 0x232f33025bd42233ull, + 0x384b84d092ed0385ull, + 0x2d09370d42573604ull, + 0x24075f3dceac2b37ull, + 0x39a5652fb1137857ull, + 0x2e1dea8c8da92d13ull +}; + + + +UINT128 power10_index_binexp_128[] = { + {{0x000000000000000aull, 0x0000000000000000ull}}, + {{0x000000000000000aull, 0x0000000000000000ull}}, + {{0x000000000000000aull, 0x0000000000000000ull}}, + {{0x000000000000000aull, 0x0000000000000000ull}}, + {{0x0000000000000064ull, 0x0000000000000000ull}}, + {{0x0000000000000064ull, 0x0000000000000000ull}}, + {{0x0000000000000064ull, 0x0000000000000000ull}}, + {{0x00000000000003e8ull, 0x0000000000000000ull}}, + {{0x00000000000003e8ull, 0x0000000000000000ull}}, + {{0x00000000000003e8ull, 0x0000000000000000ull}}, + {{0x0000000000002710ull, 0x0000000000000000ull}}, + {{0x0000000000002710ull, 0x0000000000000000ull}}, + {{0x0000000000002710ull, 0x0000000000000000ull}}, + {{0x0000000000002710ull, 0x0000000000000000ull}}, + {{0x00000000000186a0ull, 0x0000000000000000ull}}, + {{0x00000000000186a0ull, 0x0000000000000000ull}}, + {{0x00000000000186a0ull, 0x0000000000000000ull}}, + {{0x00000000000f4240ull, 0x0000000000000000ull}}, + {{0x00000000000f4240ull, 0x0000000000000000ull}}, + {{0x00000000000f4240ull, 0x0000000000000000ull}}, + {{0x0000000000989680ull, 0x0000000000000000ull}}, + {{0x0000000000989680ull, 0x0000000000000000ull}}, + {{0x0000000000989680ull, 0x0000000000000000ull}}, + {{0x0000000000989680ull, 0x0000000000000000ull}}, + {{0x0000000005f5e100ull, 0x0000000000000000ull}}, + {{0x0000000005f5e100ull, 0x0000000000000000ull}}, + {{0x0000000005f5e100ull, 0x0000000000000000ull}}, + {{0x000000003b9aca00ull, 0x0000000000000000ull}}, + {{0x000000003b9aca00ull, 0x0000000000000000ull}}, + {{0x000000003b9aca00ull, 0x0000000000000000ull}}, + {{0x00000002540be400ull, 0x0000000000000000ull}}, + {{0x00000002540be400ull, 0x0000000000000000ull}}, + {{0x00000002540be400ull, 0x0000000000000000ull}}, + {{0x00000002540be400ull, 0x0000000000000000ull}}, + {{0x000000174876e800ull, 0x0000000000000000ull}}, + {{0x000000174876e800ull, 0x0000000000000000ull}}, + {{0x000000174876e800ull, 0x0000000000000000ull}}, + {{0x000000e8d4a51000ull, 0x0000000000000000ull}}, + {{0x000000e8d4a51000ull, 0x0000000000000000ull}}, + {{0x000000e8d4a51000ull, 0x0000000000000000ull}}, + {{0x000009184e72a000ull, 0x0000000000000000ull}}, + {{0x000009184e72a000ull, 0x0000000000000000ull}}, + {{0x000009184e72a000ull, 0x0000000000000000ull}}, + {{0x000009184e72a000ull, 0x0000000000000000ull}}, + {{0x00005af3107a4000ull, 0x0000000000000000ull}}, + {{0x00005af3107a4000ull, 0x0000000000000000ull}}, + {{0x00005af3107a4000ull, 0x0000000000000000ull}}, + {{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, + {{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, + {{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, + {{0x016345785d8a0000ull, 0x0000000000000000ull}}, + {{0x016345785d8a0000ull, 0x0000000000000000ull}}, + {{0x016345785d8a0000ull, 0x0000000000000000ull}}, + {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, + {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, + {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, + {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20 + {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20 + {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20 + {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21 + {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21 + {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23 + {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23 + {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23 + {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24 + {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24 + {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26 + {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26 + {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26 + {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27 + {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27 + {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29 + {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29 + {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29 + {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30 + {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30 + {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30 + {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31 + {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31 + {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33 + {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33 + {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33, entry 112 + {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34 + {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34 + {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0xb34b9f1000000000ull, 0x00c097ce7bc90715ull}}, // 10^36 + {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37 + {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37 + {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 +}; |