1# Data test file for mpc_log10. 2# 3# Copyright (C) 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#o ption) 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 7.26 "Future library directions" 24 25# Rule [conj]: log10(conj(z)) = conj(log10(z)) 26 27# log10(nan + i*inf) = +inf + i*nan 280 0 2 +inf 2 nan 2 nan 2 +inf N N 290 0 2 +inf 2 nan 2 nan 2 -inf N N 30 31# log10(nan + i*nan) = nan + i*nan 320 0 2 nan 2 nan 2 nan 2 nan N N 33 34# log10(nan + i*y) = nan + i*nan for finite y 350 0 2 nan 2 nan 2 nan 2 1 N N 360 0 2 nan 2 nan 2 nan 2 +0 N N 370 0 2 nan 2 nan 2 nan 2 -0 N N 380 0 2 nan 2 nan 2 nan 2 -1 N N 39 40# log10(+/-inf + i*nan) = +inf + i*nan 410 0 2 +inf 2 nan 2 +inf 2 nan N N 420 0 2 +inf 2 nan 2 -inf 2 nan N N 43 44# log10(x + i*nan) = nan+i*nan for finite x 450 0 2 nan 2 nan 2 1 2 nan N N 460 0 2 nan 2 nan 2 +0 2 nan N N 470 0 2 nan 2 nan 2 -0 2 nan N N 480 0 2 nan 2 nan 2 -1 2 nan N N 49 50# log10(x + i*inf) = +inf + i*pi/2/log(10) for finite x 510 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 1 2 +inf N N 520 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 +0 2 +inf N N 530 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 -0 2 +inf N N 540 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 -1 2 +inf N N 55# by [conj]: log10(x - i*inf) = +inf - i*pi/2/log(10) for finite x 560 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 1 2 -inf N N 570 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 +0 2 -inf N N 580 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 -0 2 -inf N N 590 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 -1 2 -inf N N 60 61# log10(-inf + i*y) = +inf + i*pi/log(10) for finite positive-signed y 620 + 2 +inf 53 0x15d47c4cb2fba1p-52 2 -inf 2 1 N N 630 + 2 +inf 53 0x15d47c4cb2fba1p-52 2 -inf 2 +0 N N 64# by [conj]: log10(-inf+i*y) = +inf - i*pi/log(10) for finite negative-signed y 650 - 2 +inf 53 -0x15d47c4cb2fba1p-52 2 -inf 2 -1 N N 660 - 2 +inf 53 -0x15d47c4cb2fba1p-52 2 -inf 2 -0 N N 67 68# log10(+inf + i*y) = +inf + i*0 for finite positive-signed y 690 0 2 +inf 2 +0 2 +inf 2 1 N N 700 0 2 +inf 2 +0 2 +inf 2 +0 N N 71# by [conj]: log10(+inf + i*y) = +inf - i*0 for finite negative-signed y 720 0 2 +inf 2 -0 2 +inf 2 -1 N N 730 0 2 +inf 2 -0 2 +inf 2 -0 N N 74 75# log10(-inf + i*inf) = +inf + i*(3*pi/4)/log(10) 760 + 2 +inf 53 0x105f5d39863cb9p-52 2 -inf 2 +inf N N 77# by [conj]: log10(-inf - i*inf) = +inf - i*(3*pi/4)/log(10) 780 - 2 +inf 53 -0x105f5d39863cb9p-52 2 -inf 2 -inf N N 79 80# log10(+inf + i*inf) = +inf + i*(pi/4)/log(10) 810 + 2 +inf 53 0x15d47c4cb2fba1p-54 2 +inf 2 +inf N N 82# by [conj]: log10(+inf - i*inf) = +inf - i*(pi/4)/log(10) 830 - 2 +inf 53 -0x15d47c4cb2fba1p-54 2 +inf 2 -inf N N 84 85# log10(-0 + i*0) = -inf + i*pi/log(10) 860 + 2 -inf 53 +0x15d47c4cb2fba1p-52 2 -0 2 +0 N N 870 - 2 -inf 53 -0x15d47c4cb2fba1p-52 2 -0 2 -0 N N 880 + 2 -inf 53 +0x15d47c4cb2fba1p-52 2 -0 2 +0 N U 890 + 2 -inf 53 -0xaea3e26597ddp-47 2 -0 2 -0 N U 900 - 2 -inf 53 +0xaea3e26597ddp-47 2 -0 2 +0 N D 910 - 2 -inf 53 -0x15d47c4cb2fba1p-52 2 -0 2 -0 N D 92 93# log10(+0 + i*0) = -inf + i*0 940 0 2 -inf 2 +0 2 +0 2 +0 N N 950 0 2 -inf 2 -0 2 +0 2 -0 N N 96 97# log10(+1 +- i*0) = +0 +- i*0 980 0 2 +0 2 +0 2 1 2 +0 N N 990 0 2 +0 2 -0 2 1 2 -0 N N 100 101# log10(10 +- i*0) = 1 +- i*0 1020 0 2 1 2 +0 4 10 2 +0 N N 1030 0 2 1 2 -0 4 10 2 -0 N N 104 105# log10(100 +- i*0) = 1 +- i*0 1060 0 2 2 2 +0 5 100 2 +0 N N 1070 0 2 2 2 -0 5 100 2 -0 N N 108 109# log10(-1 +- i*0) = +0 +- i*pi/log(10) 1100 + 2 +0 53 +0x15d47c4cb2fba1p-52 2 -1 2 +0 N N 1110 - 2 +0 53 -0x15d47c4cb2fba1p-52 2 -1 2 -0 N N 112 113# log10(x + i*y) with either x or y zero and the other non-zero 114- 0 53 0x13afeb354b7d97p-52 2 0 5 0x11 2 0 N N 115- + 53 0x13afeb354b7d97p-52 53 0x15d47c4cb2fba1p-53 2 0 5 0x11 N N 116- + 53 0x1475c655fbc11p-48 53 0x15d47c4cb2fba1p-52 5 -0x13 2 +0 N N 117- - 53 0x1475c655fbc11p-48 53 -0x15d47c4cb2fba1p-52 5 -0x13 2 -0 N N 118- - 53 0x1475c655fbc11p-48 53 -0x15d47c4cb2fba1p-53 2 0 5 -0x13 N N 119 120- + 53 0x15c9a3209bf97fp-52 53 0x15d47c4cb2fba1p-52 5 -0x17 2 +0 Z U 121- - 53 0x15c9a3209bf97fp-52 53 -0x15d47c4cb2fba1p-52 5 -0x17 2 -0 N D 122+ - 53 0x2b93464137f3p-45 53 0xaea3e26597ddp-47 5 -0x17 2 +0 U Z 123- - 53 0x15c9a3209bf97fp-52 53 -0x15d47c4cb2fba1p-52 5 -0x17 2 -0 D N 124- - 53 0x1d1cda1a0c996dp-52 53 0xaea3e26597ddp-47 7 -0x42 2 +0 Z D 125+ + 53 0xe8e6d0d064cb7p-51 53 -0xaea3e26597ddp-47 7 -0x42 2 -0 N Z 126+ + 53 0xe8e6d0d064cb7p-51 53 0x15d47c4cb2fba1p-52 7 -0x42 2 +0 U N 127- + 53 0x1d1cda1a0c996dp-52 53 -0xaea3e26597ddp-47 7 -0x42 2 -0 D U 128 129# huge values 130+ 0 53 0x134413509f79ffp-44 2 0 2 0x1p1024 2 +0 U U 131+ 0 53 0x134413509f79ffp-43 2 0 2 0x1p2048 2 +0 U U 132+ 0 53 0x134413509f79ffp-42 2 0 2 0x1p4096 2 +0 U U 133+ 0 53 0x134413509f79ffp-41 2 0 2 0x1p8192 2 +0 U U 134+ 0 53 0x134413509f79ffp-40 2 0 2 0x1p16384 2 +0 U U 135+ 0 53 0x134413509f79ffp-39 2 0 2 0x1p32768 2 +0 U U 136+ 0 53 0x134413509f79ffp-38 2 0 2 0x1p65536 2 +0 U U 137+ 0 53 0x134413509f79ffp-37 2 0 2 0x1p131072 2 +0 U U 138+ 0 53 0x134413509f79ffp-36 2 0 2 0x1p262144 2 +0 U U 139+ 0 53 0x134413509f79ffp-35 2 0 2 0x1p524288 2 +0 U U 140+ 0 53 0x134413509f79ffp-34 2 0 2 0x1p1048576 2 +0 U U 141+ 0 53 0x134413509f79ffp-33 2 0 2 0x1p2097152 2 +0 U U 142+ 0 53 0x134413509f79ffp-32 2 0 2 0x1p4194304 2 +0 U U 143+ 0 53 0x134413509f79ffp-31 2 0 2 0x1p8388608 2 +0 U U 144+ 0 53 0x134413509f79ffp-30 2 0 2 0x1p16777216 2 +0 U U 145+ 0 53 0x134413509f79ffp-29 2 0 2 0x1p33554432 2 +0 U U 146+ 0 53 0x134413509f79ffp-28 2 0 2 0x1p67108864 2 +0 U U 147+ 0 53 0x134413509f79ffp-27 2 0 2 0x1p134217728 2 +0 U U 148+ 0 53 0x134413509f79ffp-26 2 0 2 0x1p268435456 2 +0 U U 149+ 0 53 0x134413509f79ffp-25 2 0 2 0x1p536870912 2 +0 U U 150+ + 53 0x13467bd3098defp-44 53 0x15d47c4cb2fba1p-54 2 0x1p1024 2 0x1p1024 U U 151+ + 53 0x13454791d483f7p-43 53 0x15d47c4cb2fba1p-54 2 0x1p2048 2 0x1p2048 U U 152+ + 53 0x1344ad7139fefbp-42 53 0x15d47c4cb2fba1p-54 2 0x1p4096 2 0x1p4096 U U 153+ + 53 0x13446060ecbc7dp-41 53 0x15d47c4cb2fba1p-54 2 0x1p8192 2 0x1p8192 U U 154+ + 53 0x9a21cec630d9fp-39 53 0x15d47c4cb2fba1p-54 2 0x1p16384 2 0x1p16384 U U 155+ + 53 0x13442694b2ca9fp-39 53 0x15d47c4cb2fba1p-54 2 0x1p32768 2 0x1p32768 U U 156+ + 53 0x13441cf2a9224fp-38 53 0x15d47c4cb2fba1p-54 2 0x1p65536 2 0x1p65536 U U 157+ + 53 0x13441821a44e27p-37 2 0x3p-3 2 0x1p131072 2 0x1p131072 U U 158+ + 53 0x134415b921e413p-36 2 0x3p-3 2 0x1p262144 2 0x1p262144 U U 159+ + 53 0x13441484e0af09p-35 2 0x3p-3 2 0x1p524288 2 0x1p524288 U U 160+ + 53 0x4d104fab00521p-32 2 0x3p-3 2 0x1p1048576 2 0x1p1048576 U U 161+ + 53 0x9a209ced7e3a1p-32 2 0x3p-3 2 0x1p2097152 2 0x1p2097152 U U 162+ + 53 0x1344137727a0a1p-32 2 0x3p-3 2 0x1p4194304 2 0x1p4194304 U U 163+ + 53 0x13441363e38d5p-27 2 0x3p-3 2 0x1p8388608 2 0x1p8388608 U U 164+ + 53 0x268826b483075p-27 2 0x3p-3 2 0x1p16777216 2 0x1p16777216 U U 165+ + 53 0x4d104d55c1fb5p-27 2 0x3p-3 2 0x1p33554432 2 0x1p33554432 U U 166+ + 53 0x9a209a983fe35p-27 2 0x3p-3 2 0x1p67108864 2 0x1p67108864 U U 167+ + 53 0x4d104d474eecdp-25 2 0x3p-3 2 0x1p134217728 2 0x1p134217728 U U 168+ + 53 0x9a209a89ccd4dp-25 2 0x3p-3 2 0x1p268435456 2 0x1p268435456 U U 169# Due to intermediate overflow, the following result has wrong real part 170# instead of the correct result. Since this may happen in other parts of the 171# library as well, we do not consider it a bug for the moment. 172# + + 53 0x13441350ec8a4dp-25 2 0x3p-3 2 0x1p536870912 2 0x1p536870912 U U 173 174# log10(3+I) has an exact real part (from Joseph S. Myers) 1750 + 53 0.5 53 0x8f168ee8415e7p-54 2 3 2 1 N N 176