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Diffstat (limited to 'mpc/tests/cosh.dat')
| -rw-r--r-- | mpc/tests/cosh.dat | 133 |
1 files changed, 133 insertions, 0 deletions
diff --git a/mpc/tests/cosh.dat b/mpc/tests/cosh.dat new file mode 100644 index 0000000000..7a766a3f65 --- /dev/null +++ b/mpc/tests/cosh.dat @@ -0,0 +1,133 @@ +# Data test file for mpc_cosh. +# +# Copyright (C) 2008, 2010 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 G.6.2.4 "The ccosh functions". + +# Rule [conj]: cosh(conj(z)) = conj(cosh(z)) +# Rule [even]: cosh(-z) = cosh(z) + +# cosh(+0 + i*0) = 1 + i*0 +0 0 2 1 2 +0 2 +0 2 +0 N N +# [conj]: cosh(+0 - i*0) = 1 - i*0 +0 0 2 1 2 -0 2 +0 2 -0 N N +# [even]: cosh(-0 - i*0) = 1 + i*0 +0 0 2 1 2 +0 2 -0 2 -0 N N +# [even+conj]: cosh(-0 + i*0) = 1 - i*0 +0 0 2 1 2 -0 2 -0 2 +0 N N + +# cosh(+0 + i*inf) = nan + i*0 (C99 says that the sign of the imaginary part +# is left unspecified) +0 0 2 nan 2 0 2 +0 2 +inf N N +# [conj]: cosh(+0 - i*inf) = nan - i*0 +0 0 2 nan 2 0 2 +0 2 -inf N N +# [even]: cosh(-0 - i*inf) = nan + i*0 +0 0 2 nan 2 0 2 -0 2 -inf N N +# [even+conj]: cosh(-0 + i*inf) = nan - i*0 +0 0 2 nan 2 0 2 -0 2 +inf N N + +# cosh(+0 +i*nan) = nan + i*0 (C99 says that the sign of the imaginary part +# is left unspecified) +0 0 2 nan 2 0 2 +0 2 nan N N +# [even]: cosh(-0 + i*nan) = nan + i*0 +0 0 2 nan 2 0 2 -0 2 nan N N + +# cosh(x + i*inf) = nan + i*nan for finite nonzero x +0 0 2 nan 2 nan 2 1 2 inf N N +0 0 2 nan 2 nan 2 -1 2 inf N N +# [conj]: cosh(x - i*inf) = nan + i*nan +0 0 2 nan 2 nan 2 1 2 -inf N N +0 0 2 nan 2 nan 2 -1 2 -inf N N +# [even] and [even+conj] are already considered for x=-1 < 0 + +# cosh(x + i*nan) = nan + i*nan for finite nonzero x +0 0 2 nan 2 nan 2 1 2 nan N N +0 0 2 nan 2 nan 2 -1 2 nan N N +# [conj] makes no sense since nan has no sign +# [even] is already considered for x=-1 < 0 + +# cosh(+inf + i*0) = +inf + i*0 +0 0 2 +inf 2 +0 2 +inf 2 +0 N N +# [conj]: cosh(+inf - i*0) = +inf - i*0 +0 0 2 +inf 2 -0 2 +inf 2 -0 N N +# [even]: cosh(-inf - i*0) = +inf + i*0 +0 0 2 +inf 2 +0 2 -inf 2 -0 N N +# [even+conj]: cosh(-inf + i*0) = +inf - i*0 +0 0 2 +inf 2 -0 2 -inf 2 +0 N N + +# cosh(+inf + i*y) = +inf * (cos(y) + i*sin(y)) for finite non-zero y +0 0 2 +inf 2 +inf 2 +inf 2 1 N N +0 0 2 -inf 2 +inf 2 +inf 2 2 N N +0 0 2 -inf 2 -inf 2 +inf 2 4 N N +0 0 2 +inf 2 -inf 2 +inf 2 1024 N N +# [conj] +0 0 2 +inf 2 -inf 2 +inf 2 -1 N N +0 0 2 -inf 2 -inf 2 +inf 2 -2 N N +0 0 2 -inf 2 +inf 2 +inf 2 -4 N N +0 0 2 +inf 2 +inf 2 +inf 2 -1024 N N +# [even] +0 0 2 +inf 2 +inf 2 -inf 2 -1 N N +0 0 2 -inf 2 +inf 2 -inf 2 -2 N N +0 0 2 -inf 2 -inf 2 -inf 2 -4 N N +0 0 2 +inf 2 -inf 2 -inf 2 -1024 N N +# [even+conj] +0 0 2 +inf 2 -inf 2 -inf 2 1 N N +0 0 2 -inf 2 -inf 2 -inf 2 2 N N +0 0 2 -inf 2 +inf 2 -inf 2 4 N N +0 0 2 +inf 2 +inf 2 -inf 2 1024 N N + +# cosh(+inf + i*inf) = +inf + i*nan (C99 leaves unspecified the sign of the +# real part) +0 0 2 inf 2 nan 2 +inf 2 +inf N N +# [conj]: cosh(+inf - i*inf) = +inf + i*nan +0 0 2 inf 2 nan 2 +inf 2 -inf N N +# [even]: cosh(-inf - i*inf) = +inf + i*nan +0 0 2 inf 2 nan 2 -inf 2 -inf N N +# [even+conj]: cosh(-inf + i*inf) = +inf + i*nan +0 0 2 inf 2 nan 2 -inf 2 +inf N N + +# cosh(+inf + i*nan) = +inf + i*nan +0 0 2 +inf 2 nan 2 +inf 2 nan N N +# [conj] makes no sense since NaN has no sign +# [even]: cosh(-inf + i*nan) = +inf + i*nan +0 0 2 +inf 2 nan 2 -inf 2 nan N N + +# cosh(nan + i*0) = nan - i*0 (C99 leaves unspecified the sign of the +# imaginary part) +0 0 2 nan 2 0 2 nan 2 +0 N N +# [conj]: cosh(nan - i*0) = nan + i*0 +0 0 2 nan 2 0 2 nan 2 -0 N N + +# cosh(nan + i*y) = nan + i*nan for all nonzero y (including +/-inf) +0 0 2 nan 2 nan 2 nan 2 1 N N +0 0 2 nan 2 nan 2 nan 2 -1 N N +0 0 2 nan 2 nan 2 nan 2 +inf N N +0 0 2 nan 2 nan 2 nan 2 -inf N N + +# cosh(nan + i*nan) = nan + i*nan +0 0 2 nan 2 nan 2 nan 2 nan N N + ++ + 53 0x10000000000001p-53 53 0x10000000000001p-52 53 0x1DA2E1BD2C9EBCp-53 53 0x138AADEA15829Fp-52 N N + + +# huge values ++ - 53 +inf 53 -inf 53 0x4580CBF242683p-3 53 -0x1B3E8A3660D279p-3 N N +- - 53 -inf 53 -inf 53 -0x1B3E8A3660D279p-3 53 0x4580CBF242683p-3 N N |