1 # Data test file for mpc_log. 2 # 3 # Copyright (C) 2008, 2009, 2010, 2012 INRIA 4 # 5 # This file is part of GNU MPC. 6 # 7 # GNU MPC is free software; you can redistribute it and/or modify it under 8 # the terms of the GNU Lesser General Public License as published by the 9 # Free Software Foundation; either version 3 of the License, or (at your 10 # option) any later version. 11 # 12 # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY 13 # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS 14 # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for 15 # more details. 16 # 17 # You should have received a copy of the GNU Lesser General Public License 18 # along with this program. If not, see http://www.gnu.org/licenses/ . 19 20 # See file sin.dat for the format description. 21 22 # Special values, following ISO C99 standard, Annex G, 23 # more precisely Section G.6.3.2 "The clog functions". 24 25 # Rule [conj]: log(conj(z)) = conj(log(z)) 26 27 # log(-0 + i*0) = -inf + i*pi 28 0 - 2 -inf 53 +0x3243F6A8885A3p-48 2 -0 2 +0 N N 29 0 + 2 -inf 53 -0x3243F6A8885A3p-48 2 -0 2 -0 N N 30 0 - 2 -inf 53 +0x3243F6A8885A3p-48 2 -0 2 +0 N D 31 0 - 2 -inf 53 -0x3243F6A8885A32p-52 2 -0 2 -0 N D 32 33 # log(+0 + i*0) = -inf + i*0 34 0 0 2 -inf 2 +0 2 +0 2 +0 N N 35 0 0 2 -inf 2 -0 2 +0 2 -0 N N 36 37 # log(+1 +- i*0) = +0 +- i*0 38 0 0 2 +0 2 +0 2 1 2 +0 N N 39 0 0 2 +0 2 -0 2 1 2 -0 N N 40 41 # log(-1 +- i*0) = +0 +- i*pi 42 0 - 2 +0 53 +0x3243F6A8885A3p-48 2 -1 2 +0 N N 43 0 + 2 +0 53 -0x3243F6A8885A3p-48 2 -1 2 -0 N N 44 45 # log(x + i*inf) = +inf + i*pi/2 for finite x 46 0 - 2 +inf 53 +0x3243F6A8885A3p-49 2 1 2 +inf N N 47 0 - 2 +inf 53 +0x3243F6A8885A3p-49 2 +0 2 +inf N N 48 0 - 2 +inf 53 +0x3243F6A8885A3p-49 2 -0 2 +inf N N 49 0 - 2 +inf 53 +0x3243F6A8885A3p-49 2 -1 2 +inf N N 50 # by [conj]: log(x - i*inf) = +inf - i*pi/2 for finite x 51 0 + 2 +inf 53 -0x3243F6A8885A3p-49 2 1 2 -inf N N 52 0 + 2 +inf 53 -0x3243F6A8885A3p-49 2 +0 2 -inf N N 53 0 + 2 +inf 53 -0x3243F6A8885A3p-49 2 -0 2 -inf N N 54 0 + 2 +inf 53 -0x3243F6A8885A3p-49 2 -1 2 -inf N N 55 56 # log(x + i*nan) = nan+i*nan for finite x 57 0 0 2 nan 2 nan 2 1 2 nan N N 58 0 0 2 nan 2 nan 2 +0 2 nan N N 59 0 0 2 nan 2 nan 2 -0 2 nan N N 60 0 0 2 nan 2 nan 2 -1 2 nan N N 61 62 # log(-inf + i*y) = +inf + i*pi for finite positive-signed y 63 0 - 2 +inf 53 0x3243F6A8885A3p-48 2 -inf 2 1 N N 64 0 - 2 +inf 53 0x3243F6A8885A3p-48 2 -inf 2 +0 N N 65 # by [conj]: log(-inf + i*y) = +inf - i*pi for finite negative-signed y 66 0 + 2 +inf 53 -0x3243F6A8885A3p-48 2 -inf 2 -1 N N 67 0 + 2 +inf 53 -0x3243F6A8885A3p-48 2 -inf 2 -0 N N 68 69 # log(+inf + i*y) = +inf + i*0 for finite positive-signed y 70 0 0 2 +inf 2 +0 2 +inf 2 1 N N 71 0 0 2 +inf 2 +0 2 +inf 2 +0 N N 72 # by [conj]: log(+inf + i*y) = +inf - i*0 for finite negative-signed y 73 0 0 2 +inf 2 -0 2 +inf 2 -1 N N 74 0 0 2 +inf 2 -0 2 +inf 2 -0 N N 75 76 # log(-inf + i*inf) = +inf + i*(3*pi/4) 77 0 - 2 +inf 53 0x96CBE3F9990E9p-50 2 -inf 2 +inf N N 78 # by [conj]: log(-inf - i*inf) = +inf - i*(3*pi/4) 79 0 + 2 +inf 53 -0x96CBE3F9990E9p-50 2 -inf 2 -inf N N 80 81 # log(+inf + i*inf) = +inf + i*(pi/4) 82 0 - 2 +inf 53 0x3243F6A8885A3p-50 2 +inf 2 +inf N N 83 # by [conj]: log(+inf - i*inf) = +inf - i*(pi/4) 84 0 + 2 +inf 53 -0x3243F6A8885A3p-50 2 +inf 2 -inf N N 85 86 # log(+/-inf + i*nan) = +inf + i*nan 87 0 0 2 +inf 2 nan 2 +inf 2 nan N N 88 0 0 2 +inf 2 nan 2 -inf 2 nan N N 89 90 # log(nan + i*y) = nan + i*nan for finite y 91 0 0 2 nan 2 nan 2 nan 2 1 N N 92 0 0 2 nan 2 nan 2 nan 2 +0 N N 93 0 0 2 nan 2 nan 2 nan 2 -0 N N 94 0 0 2 nan 2 nan 2 nan 2 -1 N N 95 96 # log(nan + i*inf) = +inf + i*nan 97 0 0 2 +inf 2 nan 2 nan 2 +inf N N 98 0 0 2 +inf 2 nan 2 nan 2 -inf N N 99 100 # log(nan + i*nan) = nan + i*nan 101 0 0 2 nan 2 nan 2 nan 2 nan N N 102 103 # log(x + i*y) with either x or y zero and the other non-zero 104 + 0 53 0xB5535E0FD3FBDp-50 2 0 5 0x11 2 0 N N 105 + - 53 0xB5535E0FD3FBDp-50 53 0x3243F6A8885A3p-49 2 0 5 0x11 N N 106 - - 53 0x5E38D81812CCBp-49 53 0x3243F6A8885A3p-48 5 -0x13 2 +0 N N 107 - + 53 0x5E38D81812CCBp-49 53 -0x3243F6A8885A3p-48 5 -0x13 2 -0 N N 108 - + 53 0x5E38D81812CCBp-49 53 -0x3243F6A8885A3p-49 2 0 5 -0x13 N N 109 110 - + 53 0x19157DFDD1B3Fp-47 53 0x1921FB54442D19p-51 5 -0x17 2 +0 Z U 111 - - 53 0x19157DFDD1B3Fp-47 53 -0x1921FB54442D19p-51 5 -0x17 2 -0 N D 112 + - 53 0x19157DFDD1B3F1p-51 53 0x3243F6A8885A3p-48 5 -0x17 2 +0 U Z 113 - + 53 0x19157DFDD1B3Fp-47 53 -0x3243F6A8885A3p-48 5 -0x17 2 -0 D N 114 - - 53 0x8611A6D2511D3p-49 53 0x3243F6A8885A3p-48 7 -0x42 2 +0 Z D 115 - + 53 0x8611A6D2511D3p-49 53 -0x3243F6A8885A3p-48 7 -0x42 2 -0 N Z 116 + - 53 0x10C234DA4A23A7p-50 53 0x3243F6A8885A3p-48 7 -0x42 2 +0 U N 117 - + 53 0x8611A6D2511D3p-49 53 -0x3243F6A8885A3p-48 7 -0x42 2 -0 D U 118 119 # normal non-zero numbers 120 - - 17 0x6701p-15 42 0x3b58ce0ac37p-43 2 2 2 1 N N 121 - + 17 0x6701p-15 42 -0x3b58ce0ac37p-43 2 2 2 -1 N N 122 - + 17 0x6701p-15 42 0x2ad8dce72ffp-40 2 -2 2 1 N N 123 - - 17 0x6701p-15 42 -0x2ad8dce72ffp-40 2 -2 2 -1 N N 124 - + 17 0x6701p-15 42 0x46db864bafp-38 2 1 2 2 N N 125 - - 17 0x6701p-15 42 -0x46db864bafp-38 2 1 2 -2 N N 126 - + 17 0x6701p-15 42 0x10468a8ace5p-39 2 -1 2 2 N N 127 - - 17 0x6701p-15 42 -0x10468a8ace5p-39 2 -1 2 -2 N N 128 129 # huge values 130 + 0 53 0x162E42FEFA39Fp-39 2 0 2 0x1p1024 2 +0 U U 131 + 0 53 0x162E42FEFA39Fp-38 2 0 2 0x1p2048 2 +0 U U 132 + 0 53 0x162E42FEFA39Fp-37 2 0 2 0x1p4096 2 +0 U U 133 + 0 53 0x162E42FEFA39Fp-36 2 0 2 0x1p8192 2 +0 U U 134 + 0 53 0x162E42FEFA39Fp-35 2 0 2 0x1p16384 2 +0 U U 135 + 0 53 0x162E42FEFA39Fp-34 2 0 2 0x1p32768 2 +0 U U 136 + 0 53 0x162E42FEFA39Fp-33 2 0 2 0x1p65536 2 +0 U U 137 + 0 53 0x162E42FEFA39Fp-32 2 0 2 0x1p131072 2 +0 U U 138 + 0 53 0x162E42FEFA39Fp-31 2 0 2 0x1p262144 2 +0 U U 139 + 0 53 0x162E42FEFA39Fp-30 2 0 2 0x1p524288 2 +0 U U 140 + 0 53 0x162E42FEFA39Fp-29 2 0 2 0x1p1048576 2 +0 U U 141 + 0 53 0x162E42FEFA39Fp-28 2 0 2 0x1p2097152 2 +0 U U 142 + 0 53 0x162E42FEFA39Fp-27 2 0 2 0x1p4194304 2 +0 U U 143 + 0 53 0x162E42FEFA39Fp-26 2 0 2 0x1p8388608 2 +0 U U 144 + 0 53 0x162E42FEFA39Fp-25 2 0 2 0x1p16777216 2 +0 U U 145 + 0 53 0x162E42FEFA39Fp-24 2 0 2 0x1p33554432 2 +0 U U 146 + 0 53 0x162E42FEFA39Fp-23 2 0 2 0x1p67108864 2 +0 U U 147 + 0 53 0x162E42FEFA39Fp-22 2 0 2 0x1p134217728 2 +0 U U 148 + 0 53 0x162E42FEFA39Fp-21 2 0 2 0x1p268435456 2 +0 U U 149 + 0 53 0x162E42FEFA39Fp-20 2 0 2 0x1p536870912 2 +0 U U 150 + + 53 0x163108C75A1937p-43 53 0x1921FB54442D19p-53 2 0x1p1024 2 0x1p1024 U U 151 + + 53 0x162FA5E32A2993p-42 53 0x1921FB54442D19p-53 2 0x1p2048 2 0x1p2048 U U 152 + + 53 0xB177A388918E1p-40 53 0x1921FB54442D19p-53 2 0x1p4096 2 0x1p4096 U U 153 + + 53 0x162E9BB80635D9p-40 53 0x1921FB54442D19p-53 2 0x1p8192 2 0x1p8192 U U 154 + + 53 0x58B9BD6E00DF9p-37 53 0x1921FB54442D19p-53 2 0x1p16384 2 0x1p16384 U U 155 + + 53 0xB172C969E9C75p-37 53 0x1921FB54442D19p-53 2 0x1p32768 2 0x1p32768 U U 156 + + 53 0x162E4E161BB96Dp-37 53 0x1921FB54442D19p-53 2 0x1p65536 2 0x1p65536 U U 157 + + 53 0xB172445457CD7p-35 2 0x1p0 2 0x1p131072 2 0x1p131072 U U 158 + + 53 0x162E45C4C299CFp-35 2 0x1p0 2 0x1p262144 2 0x1p262144 U U 159 + + 53 0x162E4461DE69DFp-34 2 0x1p0 2 0x1p524288 2 0x1p524288 U U 160 + + 53 0x2C5C8760D8A3Dp-30 2 0x1p0 2 0x1p1048576 2 0x1p1048576 U U 161 + + 53 0x58B90D5ECD17Bp-30 2 0x1p0 2 0x1p2097152 2 0x1p2097152 U U 162 + + 53 0xB172195AB5FF7p-30 2 0x1p0 2 0x1p4194304 2 0x1p4194304 U U 163 + + 53 0x162E4315287CEFp-30 2 0x1p0 2 0x1p8388608 2 0x1p8388608 U U 164 + + 53 0x162E430A115B6Fp-29 2 0x1p0 2 0x1p16777216 2 0x1p16777216 U U 165 + + 53 0x162E430485CAAFp-28 2 0x1p0 2 0x1p33554432 2 0x1p33554432 U U 166 + + 53 0x162E4301C0025p-23 2 0x1p0 2 0x1p67108864 2 0x1p67108864 U U 167 + + 53 0xB1721802E8F1p-21 2 0x1p0 2 0x1p134217728 2 0x1p134217728 U U 168 + + 53 0x2C5C85FF57581p-22 2 0x1p0 2 0x1p268435456 2 0x1p268435456 U U 169 170 # Example leading to intermediate overflow in x^2+y^2 171 + + 53 0x58B90BFD4BCBFp-22 2 0x1p0 2 0x1p536870912 2 0x1p536870912 U U 172 + + 53 0xb17217efbcc47p-22 2 0x1p0 2 0x3p1073741819 2 0x3p1073741819 U U 173 # Example leading to intermediate underflow in x^2+y^2 174 - - 53 -0xb17217f0e35a9p-22 2 0x3p-2 2 0x1p-1073741822 2 0x1p-1073741822 D D 175 176 # log (-1 + i*eps), looped in previous version 177 - - 2 0 2 3 2 -1 2 0x1p-1073741813 N N 178 - - 2 0 2 3 2 -1 2 0x1p-1073741813 D D 179 + + 2 0x1p-1073741822 2 4 2 -1 2 0x1p-1073741813 U U 180 # log(1 + i*eps), could cause similar problems 181 - + 2 0 2 0x1p-1073741822 2 1 2 0x1p-1073741822 N N 182 - - 2 0 2 0 2 1 2 0x1p-1073741822 D D 183 + + 2 0x1p-1073741822 2 0x1p-1073741822 2 1 2 0x1p-1073741822 U U 184 # log (eps + i) 185 - - 2 0 2 0x3p-1 2 0x1p-1073741822 2 1 N N 186 - - 2 0 2 0x3p-1 2 0x1p-1073741822 2 1 D D 187 + + 2 0x1p-1073741822 2 2 2 0x1p-1073741822 2 1 U U 188 189 # log (close to 1 + i*eps), improves test coverage 190 + - 2 -0x1p-36 2 0x1p-1073741822 36 0x0.FFFFFFFFF 2 0x1p-1073741822 N N 191
Indexes created Tue Mar 03 05:31:39 UTC 2026