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# 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
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