# 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