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 280 - 2 -inf 53 +0x3243F6A8885A3p-48 2 -0 2 +0 N N 290 + 2 -inf 53 -0x3243F6A8885A3p-48 2 -0 2 -0 N N 300 - 2 -inf 53 +0x3243F6A8885A3p-48 2 -0 2 +0 N D 310 - 2 -inf 53 -0x3243F6A8885A32p-52 2 -0 2 -0 N D 32 33# log(+0 + i*0) = -inf + i*0 340 0 2 -inf 2 +0 2 +0 2 +0 N N 350 0 2 -inf 2 -0 2 +0 2 -0 N N 36 37# log(+1 +- i*0) = +0 +- i*0 380 0 2 +0 2 +0 2 1 2 +0 N N 390 0 2 +0 2 -0 2 1 2 -0 N N 40 41# log(-1 +- i*0) = +0 +- i*pi 420 - 2 +0 53 +0x3243F6A8885A3p-48 2 -1 2 +0 N N 430 + 2 +0 53 -0x3243F6A8885A3p-48 2 -1 2 -0 N N 44 45# log(x + i*inf) = +inf + i*pi/2 for finite x 460 - 2 +inf 53 +0x3243F6A8885A3p-49 2 1 2 +inf N N 470 - 2 +inf 53 +0x3243F6A8885A3p-49 2 +0 2 +inf N N 480 - 2 +inf 53 +0x3243F6A8885A3p-49 2 -0 2 +inf N N 490 - 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 510 + 2 +inf 53 -0x3243F6A8885A3p-49 2 1 2 -inf N N 520 + 2 +inf 53 -0x3243F6A8885A3p-49 2 +0 2 -inf N N 530 + 2 +inf 53 -0x3243F6A8885A3p-49 2 -0 2 -inf N N 540 + 2 +inf 53 -0x3243F6A8885A3p-49 2 -1 2 -inf N N 55 56# log(x + i*nan) = nan+i*nan for finite x 570 0 2 nan 2 nan 2 1 2 nan N N 580 0 2 nan 2 nan 2 +0 2 nan N N 590 0 2 nan 2 nan 2 -0 2 nan N N 600 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 630 - 2 +inf 53 0x3243F6A8885A3p-48 2 -inf 2 1 N N 640 - 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 660 + 2 +inf 53 -0x3243F6A8885A3p-48 2 -inf 2 -1 N N 670 + 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 700 0 2 +inf 2 +0 2 +inf 2 1 N N 710 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 730 0 2 +inf 2 -0 2 +inf 2 -1 N N 740 0 2 +inf 2 -0 2 +inf 2 -0 N N 75 76# log(-inf + i*inf) = +inf + i*(3*pi/4) 770 - 2 +inf 53 0x96CBE3F9990E9p-50 2 -inf 2 +inf N N 78# by [conj]: log(-inf - i*inf) = +inf - i*(3*pi/4) 790 + 2 +inf 53 -0x96CBE3F9990E9p-50 2 -inf 2 -inf N N 80 81# log(+inf + i*inf) = +inf + i*(pi/4) 820 - 2 +inf 53 0x3243F6A8885A3p-50 2 +inf 2 +inf N N 83# by [conj]: log(+inf - i*inf) = +inf - i*(pi/4) 840 + 2 +inf 53 -0x3243F6A8885A3p-50 2 +inf 2 -inf N N 85 86# log(+/-inf + i*nan) = +inf + i*nan 870 0 2 +inf 2 nan 2 +inf 2 nan N N 880 0 2 +inf 2 nan 2 -inf 2 nan N N 89 90# log(nan + i*y) = nan + i*nan for finite y 910 0 2 nan 2 nan 2 nan 2 1 N N 920 0 2 nan 2 nan 2 nan 2 +0 N N 930 0 2 nan 2 nan 2 nan 2 -0 N N 940 0 2 nan 2 nan 2 nan 2 -1 N N 95 96# log(nan + i*inf) = +inf + i*nan 970 0 2 +inf 2 nan 2 nan 2 +inf N N 980 0 2 +inf 2 nan 2 nan 2 -inf N N 99 100# log(nan + i*nan) = nan + i*nan 1010 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 0x58B90BFAA42A98p-25 2 0x1p0 2 0x3p1073741821 2 0x3p1073741821 U U 173# Example leading to intermediate underflow in x^2+y^2 174- - 53 -0x58B90BFB3775A8p-25 2 0x3p-2 2 0x1p-1073741824 2 0x1p-1073741824 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-1073741824 2 4 2 -1 2 0x1p-1073741813 U U 180# log(1 + i*eps), could cause similar problems 181- + 2 0 2 0x1p-1073741824 2 1 2 0x1p-1073741824 N N 182- - 2 0 2 0 2 1 2 0x1p-1073741824 D D 183+ + 2 0x1p-1073741824 2 0x1p-1073741824 2 1 2 0x1p-1073741824 U U 184# log (eps + i) 185- - 2 0 2 0x3p-1 2 0x1p-1073741824 2 1 N N 186- - 2 0 2 0x3p-1 2 0x1p-1073741824 2 1 D D 187+ + 2 0x1p-1073741824 2 2 2 0x1p-1073741824 2 1 U U 188 189# log (close to 1 + i*eps), improves test coverage 190+ - 2 -0x1p-36 2 0x1p-1073741824 36 0x0.FFFFFFFFF 2 0x1p-1073741824 N N 191