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Diffstat (limited to 'mpc/tests/log10.dat')
| -rw-r--r-- | mpc/tests/log10.dat | 179 |
1 files changed, 179 insertions, 0 deletions
diff --git a/mpc/tests/log10.dat b/mpc/tests/log10.dat new file mode 100644 index 0000000000..9316c79f89 --- /dev/null +++ b/mpc/tests/log10.dat @@ -0,0 +1,179 @@ +# Data test file for mpc_log10. +# +# Copyright (C) 2012 INRIA +# +# This file is part of GNU MPC. +# +# GNU MPC 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 3 of the License, or (at your +#o ption) any later version. +# +# GNU MPC 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 this program. If not, see http://www.gnu.org/licenses/ . + +# See file sin.dat for the format description. + +# Special values, following ISO C99 standard, Annex G, +# more precisely Section 7.26 "Future library directions" + +# Rule [conj]: log10(conj(z)) = conj(log10(z)) + +# log10(nan + i*inf) = +inf + i*nan +0 0 2 +inf 2 nan 2 nan 2 +inf N N +0 0 2 +inf 2 nan 2 nan 2 -inf N N + +# log10(nan + i*nan) = nan + i*nan +0 0 2 nan 2 nan 2 nan 2 nan N N + +# log10(nan + i*y) = nan + i*nan for finite y +0 0 2 nan 2 nan 2 nan 2 1 N N +0 0 2 nan 2 nan 2 nan 2 +0 N N +0 0 2 nan 2 nan 2 nan 2 -0 N N +0 0 2 nan 2 nan 2 nan 2 -1 N N + +# log10(+/-inf + i*nan) = +inf + i*nan +0 0 2 +inf 2 nan 2 +inf 2 nan N N +0 0 2 +inf 2 nan 2 -inf 2 nan N N + +# log10(x + i*nan) = nan+i*nan for finite x +0 0 2 nan 2 nan 2 1 2 nan N N +0 0 2 nan 2 nan 2 +0 2 nan N N +0 0 2 nan 2 nan 2 -0 2 nan N N +0 0 2 nan 2 nan 2 -1 2 nan N N + +# log10(x + i*inf) = +inf + i*pi/2/log(10) for finite x +0 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 1 2 +inf N N +0 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 +0 2 +inf N N +0 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 -0 2 +inf N N +0 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 -1 2 +inf N N +# by [conj]: log10(x - i*inf) = +inf - i*pi/2/log(10) for finite x +0 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 1 2 -inf N N +0 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 +0 2 -inf N N +0 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 -0 2 -inf N N +0 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 -1 2 -inf N N + +# log10(-inf + i*y) = +inf + i*pi/log(10) for finite positive-signed y +0 + 2 +inf 53 0x15d47c4cb2fba1p-52 2 -inf 2 1 N N +0 + 2 +inf 53 0x15d47c4cb2fba1p-52 2 -inf 2 +0 N N +# by [conj]: log10(-inf+i*y) = +inf - i*pi/log(10) for finite negative-signed y +0 - 2 +inf 53 -0x15d47c4cb2fba1p-52 2 -inf 2 -1 N N +0 - 2 +inf 53 -0x15d47c4cb2fba1p-52 2 -inf 2 -0 N N + +# log10(+inf + i*y) = +inf + i*0 for finite positive-signed y +0 0 2 +inf 2 +0 2 +inf 2 1 N N +0 0 2 +inf 2 +0 2 +inf 2 +0 N N +# by [conj]: log10(+inf + i*y) = +inf - i*0 for finite negative-signed y +0 0 2 +inf 2 -0 2 +inf 2 -1 N N +0 0 2 +inf 2 -0 2 +inf 2 -0 N N + +# log10(-inf + i*inf) = +inf + i*(3*pi/4)/log(10) +0 + 2 +inf 53 0x105f5d39863cb9p-52 2 -inf 2 +inf N N +# by [conj]: log10(-inf - i*inf) = +inf - i*(3*pi/4)/log(10) +0 - 2 +inf 53 -0x105f5d39863cb9p-52 2 -inf 2 -inf N N + +# log10(+inf + i*inf) = +inf + i*(pi/4)/log(10) +0 + 2 +inf 53 0x15d47c4cb2fba1p-54 2 +inf 2 +inf N N +# by [conj]: log10(+inf - i*inf) = +inf - i*(pi/4)/log(10) +0 - 2 +inf 53 -0x15d47c4cb2fba1p-54 2 +inf 2 -inf N N + +# log10(-0 + i*0) = -inf + i*pi/log(10) +0 + 2 -inf 53 +0x15d47c4cb2fba1p-52 2 -0 2 +0 N N +0 - 2 -inf 53 -0x15d47c4cb2fba1p-52 2 -0 2 -0 N N +0 + 2 -inf 53 +0x15d47c4cb2fba1p-52 2 -0 2 +0 N U +0 + 2 -inf 53 -0xaea3e26597ddp-47 2 -0 2 -0 N U +0 - 2 -inf 53 +0xaea3e26597ddp-47 2 -0 2 +0 N D +0 - 2 -inf 53 -0x15d47c4cb2fba1p-52 2 -0 2 -0 N D + +# log10(+0 + i*0) = -inf + i*0 +0 0 2 -inf 2 +0 2 +0 2 +0 N N +0 0 2 -inf 2 -0 2 +0 2 -0 N N + +# log10(+1 +- i*0) = +0 +- i*0 +0 0 2 +0 2 +0 2 1 2 +0 N N +0 0 2 +0 2 -0 2 1 2 -0 N N + +# log10(10 +- i*0) = 1 +- i*0 +0 0 2 1 2 +0 4 10 2 +0 N N +0 0 2 1 2 -0 4 10 2 -0 N N + +# log10(100 +- i*0) = 1 +- i*0 +0 0 2 2 2 +0 5 100 2 +0 N N +0 0 2 2 2 -0 5 100 2 -0 N N + +# log10(-1 +- i*0) = +0 +- i*pi/log(10) +0 + 2 +0 53 +0x15d47c4cb2fba1p-52 2 -1 2 +0 N N +0 - 2 +0 53 -0x15d47c4cb2fba1p-52 2 -1 2 -0 N N + +# log10(x + i*y) with either x or y zero and the other non-zero +- 0 53 0x13afeb354b7d97p-52 2 0 5 0x11 2 0 N N +- + 53 0x13afeb354b7d97p-52 53 0x15d47c4cb2fba1p-53 2 0 5 0x11 N N +- + 53 0x1475c655fbc11p-48 53 0x15d47c4cb2fba1p-52 5 -0x13 2 +0 N N +- - 53 0x1475c655fbc11p-48 53 -0x15d47c4cb2fba1p-52 5 -0x13 2 -0 N N +- - 53 0x1475c655fbc11p-48 53 -0x15d47c4cb2fba1p-53 2 0 5 -0x13 N N + +- + 53 0x15c9a3209bf97fp-52 53 0x15d47c4cb2fba1p-52 5 -0x17 2 +0 Z U +- - 53 0x15c9a3209bf97fp-52 53 -0x15d47c4cb2fba1p-52 5 -0x17 2 -0 N D ++ - 53 0x2b93464137f3p-45 53 0xaea3e26597ddp-47 5 -0x17 2 +0 U Z +- - 53 0x15c9a3209bf97fp-52 53 -0x15d47c4cb2fba1p-52 5 -0x17 2 -0 D N +- - 53 0x1d1cda1a0c996dp-52 53 0xaea3e26597ddp-47 7 -0x42 2 +0 Z D ++ + 53 0xe8e6d0d064cb7p-51 53 -0xaea3e26597ddp-47 7 -0x42 2 -0 N Z ++ + 53 0xe8e6d0d064cb7p-51 53 0x15d47c4cb2fba1p-52 7 -0x42 2 +0 U N +- + 53 0x1d1cda1a0c996dp-52 53 -0xaea3e26597ddp-47 7 -0x42 2 -0 D U + +# huge values ++ 0 53 0x134413509f79ffp-44 2 0 2 0x1p1024 2 +0 U U ++ 0 53 0x134413509f79ffp-43 2 0 2 0x1p2048 2 +0 U U ++ 0 53 0x134413509f79ffp-42 2 0 2 0x1p4096 2 +0 U U ++ 0 53 0x134413509f79ffp-41 2 0 2 0x1p8192 2 +0 U U ++ 0 53 0x134413509f79ffp-40 2 0 2 0x1p16384 2 +0 U U ++ 0 53 0x134413509f79ffp-39 2 0 2 0x1p32768 2 +0 U U ++ 0 53 0x134413509f79ffp-38 2 0 2 0x1p65536 2 +0 U U ++ 0 53 0x134413509f79ffp-37 2 0 2 0x1p131072 2 +0 U U ++ 0 53 0x134413509f79ffp-36 2 0 2 0x1p262144 2 +0 U U ++ 0 53 0x134413509f79ffp-35 2 0 2 0x1p524288 2 +0 U U ++ 0 53 0x134413509f79ffp-34 2 0 2 0x1p1048576 2 +0 U U ++ 0 53 0x134413509f79ffp-33 2 0 2 0x1p2097152 2 +0 U U ++ 0 53 0x134413509f79ffp-32 2 0 2 0x1p4194304 2 +0 U U ++ 0 53 0x134413509f79ffp-31 2 0 2 0x1p8388608 2 +0 U U ++ 0 53 0x134413509f79ffp-30 2 0 2 0x1p16777216 2 +0 U U ++ 0 53 0x134413509f79ffp-29 2 0 2 0x1p33554432 2 +0 U U ++ 0 53 0x134413509f79ffp-28 2 0 2 0x1p67108864 2 +0 U U ++ 0 53 0x134413509f79ffp-27 2 0 2 0x1p134217728 2 +0 U U ++ 0 53 0x134413509f79ffp-26 2 0 2 0x1p268435456 2 +0 U U ++ 0 53 0x134413509f79ffp-25 2 0 2 0x1p536870912 2 +0 U U ++ + 53 0x13467bd3098defp-44 53 0x15d47c4cb2fba1p-54 2 0x1p1024 2 0x1p1024 U U ++ + 53 0x13454791d483f7p-43 53 0x15d47c4cb2fba1p-54 2 0x1p2048 2 0x1p2048 U U ++ + 53 0x1344ad7139fefbp-42 53 0x15d47c4cb2fba1p-54 2 0x1p4096 2 0x1p4096 U U ++ + 53 0x13446060ecbc7dp-41 53 0x15d47c4cb2fba1p-54 2 0x1p8192 2 0x1p8192 U U ++ + 53 0x9a21cec630d9fp-39 53 0x15d47c4cb2fba1p-54 2 0x1p16384 2 0x1p16384 U U ++ + 53 0x13442694b2ca9fp-39 53 0x15d47c4cb2fba1p-54 2 0x1p32768 2 0x1p32768 U U ++ + 53 0x13441cf2a9224fp-38 53 0x15d47c4cb2fba1p-54 2 0x1p65536 2 0x1p65536 U U ++ + 53 0x13441821a44e27p-37 2 0x3p-3 2 0x1p131072 2 0x1p131072 U U ++ + 53 0x134415b921e413p-36 2 0x3p-3 2 0x1p262144 2 0x1p262144 U U ++ + 53 0x13441484e0af09p-35 2 0x3p-3 2 0x1p524288 2 0x1p524288 U U ++ + 53 0x4d104fab00521p-32 2 0x3p-3 2 0x1p1048576 2 0x1p1048576 U U ++ + 53 0x9a209ced7e3a1p-32 2 0x3p-3 2 0x1p2097152 2 0x1p2097152 U U ++ + 53 0x1344137727a0a1p-32 2 0x3p-3 2 0x1p4194304 2 0x1p4194304 U U ++ + 53 0x13441363e38d5p-27 2 0x3p-3 2 0x1p8388608 2 0x1p8388608 U U ++ + 53 0x268826b483075p-27 2 0x3p-3 2 0x1p16777216 2 0x1p16777216 U U ++ + 53 0x4d104d55c1fb5p-27 2 0x3p-3 2 0x1p33554432 2 0x1p33554432 U U ++ + 53 0x9a209a983fe35p-27 2 0x3p-3 2 0x1p67108864 2 0x1p67108864 U U ++ + 53 0x4d104d474eecdp-25 2 0x3p-3 2 0x1p134217728 2 0x1p134217728 U U ++ + 53 0x9a209a89ccd4dp-25 2 0x3p-3 2 0x1p268435456 2 0x1p268435456 U U +# Due to intermediate overflow, the following result has wrong real part +# instead of the correct result. Since this may happen in other parts of the +# library as well, we do not consider it a bug for the moment. +# + + 53 0x13441350ec8a4dp-25 2 0x3p-3 2 0x1p536870912 2 0x1p536870912 U U + +# log10(3+I) has an exact real part (from Joseph S. Myers) +0 + 53 0.5 53 0x8f168ee8415e7p-54 2 3 2 1 N N + +# bug found by Mickael Gastineau on 29 Sep 2012 +0 + 2 +0 2 0.75 2 +0 2 1 N N +0 - 2 +0 2 -0.75 2 +0 2 -1 N N |