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136 lines
4.7 KiB
Plaintext
136 lines
4.7 KiB
Plaintext
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# Data test file for mpc_cosh.
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# Copyright (C) INRIA, 2008, 2010
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# This file is part of the MPC Library.
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#
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# The MPC Library is free software; you can redistribute it and/or modify
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# it under the terms of the GNU Lesser General Public License as published by
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# the Free Software Foundation; either version 2.1 of the License, or (at your
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# option) any later version.
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#
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# The MPC Library is distributed in the hope that it will be useful, but
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# WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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# or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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# License for more details.
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#
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# You should have received a copy of the GNU Lesser General Public License
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# along with the MPC Library; see the file COPYING.LIB. If not, write to
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# the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
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# MA 02111-1307, USA.
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# See file sin.dat for the format description.
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# Special values, following ISO C99 standard, Annex G,
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# more precisely Section G.6.2.4 "The ccosh functions".
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# Rule [conj]: cosh(conj(z)) = conj(cosh(z))
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# Rule [even]: cosh(-z) = cosh(z)
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# cosh(+0 + i*0) = 1 + i*0
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0 0 2 1 2 +0 2 +0 2 +0 N N
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# [conj]: cosh(+0 - i*0) = 1 - i*0
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0 0 2 1 2 -0 2 +0 2 -0 N N
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# [even]: cosh(-0 - i*0) = 1 + i*0
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0 0 2 1 2 +0 2 -0 2 -0 N N
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# [even+conj]: cosh(-0 + i*0) = 1 - i*0
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0 0 2 1 2 -0 2 -0 2 +0 N N
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# cosh(+0 + i*inf) = nan + i*0 (C99 says that the sign of the imaginary part
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# is left unspecified)
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0 0 2 nan 2 0 2 +0 2 +inf N N
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# [conj]: cosh(+0 - i*inf) = nan - i*0
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0 0 2 nan 2 0 2 +0 2 -inf N N
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# [even]: cosh(-0 - i*inf) = nan + i*0
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0 0 2 nan 2 0 2 -0 2 -inf N N
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# [even+conj]: cosh(-0 + i*inf) = nan - i*0
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0 0 2 nan 2 0 2 -0 2 +inf N N
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# cosh(+0 +i*nan) = nan + i*0 (C99 says that the sign of the imaginary part
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# is left unspecified)
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0 0 2 nan 2 0 2 +0 2 nan N N
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# [even]: cosh(-0 + i*nan) = nan + i*0
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0 0 2 nan 2 0 2 -0 2 nan N N
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# cosh(x + i*inf) = nan + i*nan for finite nonzero x
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0 0 2 nan 2 nan 2 1 2 inf N N
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0 0 2 nan 2 nan 2 -1 2 inf N N
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# [conj]: cosh(x - i*inf) = nan + i*nan
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0 0 2 nan 2 nan 2 1 2 -inf N N
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0 0 2 nan 2 nan 2 -1 2 -inf N N
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# [even] and [even+conj] are already considered for x=-1 < 0
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# cosh(x + i*nan) = nan + i*nan for finite nonzero x
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0 0 2 nan 2 nan 2 1 2 nan N N
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0 0 2 nan 2 nan 2 -1 2 nan N N
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# [conj] makes no sense since nan has no sign
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# [even] is already considered for x=-1 < 0
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# cosh(+inf + i*0) = +inf + i*0
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0 0 2 +inf 2 +0 2 +inf 2 +0 N N
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# [conj]: cosh(+inf - i*0) = +inf - i*0
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0 0 2 +inf 2 -0 2 +inf 2 -0 N N
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# [even]: cosh(-inf - i*0) = +inf + i*0
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0 0 2 +inf 2 +0 2 -inf 2 -0 N N
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# [even+conj]: cosh(-inf + i*0) = +inf - i*0
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0 0 2 +inf 2 -0 2 -inf 2 +0 N N
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# cosh(+inf + i*y) = +inf * (cos(y) + i*sin(y)) for finite non-zero y
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0 0 2 +inf 2 +inf 2 +inf 2 1 N N
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0 0 2 -inf 2 +inf 2 +inf 2 2 N N
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0 0 2 -inf 2 -inf 2 +inf 2 4 N N
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0 0 2 +inf 2 -inf 2 +inf 2 1024 N N
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# [conj]
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0 0 2 +inf 2 -inf 2 +inf 2 -1 N N
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0 0 2 -inf 2 -inf 2 +inf 2 -2 N N
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0 0 2 -inf 2 +inf 2 +inf 2 -4 N N
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0 0 2 +inf 2 +inf 2 +inf 2 -1024 N N
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# [even]
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0 0 2 +inf 2 +inf 2 -inf 2 -1 N N
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0 0 2 -inf 2 +inf 2 -inf 2 -2 N N
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0 0 2 -inf 2 -inf 2 -inf 2 -4 N N
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0 0 2 +inf 2 -inf 2 -inf 2 -1024 N N
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# [even+conj]
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0 0 2 +inf 2 -inf 2 -inf 2 1 N N
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0 0 2 -inf 2 -inf 2 -inf 2 2 N N
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0 0 2 -inf 2 +inf 2 -inf 2 4 N N
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0 0 2 +inf 2 +inf 2 -inf 2 1024 N N
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# cosh(+inf + i*inf) = +inf + i*nan (C99 leaves unspecified the sign of the
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# real part)
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0 0 2 inf 2 nan 2 +inf 2 +inf N N
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# [conj]: cosh(+inf - i*inf) = +inf + i*nan
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0 0 2 inf 2 nan 2 +inf 2 -inf N N
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# [even]: cosh(-inf - i*inf) = +inf + i*nan
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0 0 2 inf 2 nan 2 -inf 2 -inf N N
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# [even+conj]: cosh(-inf + i*inf) = +inf + i*nan
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0 0 2 inf 2 nan 2 -inf 2 +inf N N
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# cosh(+inf + i*nan) = +inf + i*nan
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0 0 2 +inf 2 nan 2 +inf 2 nan N N
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# [conj] makes no sense since NaN has no sign
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# [even]: cosh(-inf + i*nan) = +inf + i*nan
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0 0 2 +inf 2 nan 2 -inf 2 nan N N
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# cosh(nan + i*0) = nan - i*0 (C99 leaves unspecified the sign of the
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# imaginary part)
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0 0 2 nan 2 0 2 nan 2 +0 N N
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# [conj]: cosh(nan - i*0) = nan + i*0
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0 0 2 nan 2 0 2 nan 2 -0 N N
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# cosh(nan + i*y) = nan + i*nan for all nonzero y (including +/-inf)
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0 0 2 nan 2 nan 2 nan 2 1 N N
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0 0 2 nan 2 nan 2 nan 2 -1 N N
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0 0 2 nan 2 nan 2 nan 2 +inf N N
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0 0 2 nan 2 nan 2 nan 2 -inf N N
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# cosh(nan + i*nan) = nan + i*nan
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0 0 2 nan 2 nan 2 nan 2 nan N N
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+ + 53 0x10000000000001p-53 53 0x10000000000001p-52 53 0x1DA2E1BD2C9EBCp-53 53 0x138AADEA15829Fp-52 N N
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# huge values
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+ - 53 +inf 53 -inf 53 0x4580CBF242683p-3 53 -0x1B3E8A3660D279p-3 N N
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- - 53 -inf 53 -inf 53 -0x1B3E8A3660D279p-3 53 0x4580CBF242683p-3 N N
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