d43cffdfe2
MPC is a C library for the arithmetic of complex numbers with arbitrarily high precision and correct rounding of the result. It is built upon and follows the same principles as MPFR. GCC >= 4.2 requires MPC.
166 lines
8.2 KiB
Plaintext
166 lines
8.2 KiB
Plaintext
# Data file for mpc_sin.
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#
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# Copyright (C) INRIA, 2008, 2010
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#
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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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#
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# The line format respects the parameter order in function prototype as
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# follow:
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#
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# INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM
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#
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# where op = op_re + i * op_im, rop = rop_re + i * rop_im,
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# rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE
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# rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM
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# op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE
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# op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM
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# ROP_RE is checked against Re(sin op) rounded to the precision PREC_ROP_RE
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# in the direction RND_RE
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# ROP_IM is checked against Im(sin op) rounded to the precision PREC_ROP_IM
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# in the direction RND_IM
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# INEX_RE is the ternary value for the real part with the following notation:
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# "?" ternary value not checked
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# "+" if ROP_RE is greater than the exact mathematical result
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# "0" if ROP_RE is exactly the mathematical result
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# "-" if ROP_RE is less than the exact mathematical result
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# (m.m. INEX_IM)
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# rounding modes notation:
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# "N" is rounding to nearest
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# "Z" is rounding towards zero
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# "U" is rounding towards plus infinity
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# "D" is rounding towards minus infinity
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# Use prefixes "0b" for values in base two, "0x" for values in base sixteen,
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# no prefix for value in base ten.
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# In all bases, "nan" is NaN, "inf" is infinity;
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# The sign of the result is checked with "+inf", "-inf", "-0", or "+0".
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# special values (following ISO C99 standard)
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0 0 53 nan 53 inf 53 -inf 53 -inf N N
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0 0 53 nan 53 nan 53 -inf 53 -1 N N
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0 0 53 nan 53 0 53 -inf 53 -0 N N
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0 0 53 nan 53 0 53 -inf 53 +0 N N
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0 0 53 nan 53 nan 53 -inf 53 +1 N N
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0 0 53 nan 53 inf 53 -inf 53 +inf N N
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0 0 53 nan 53 nan 53 -inf 53 nan N N
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0 0 53 +inf 53 -inf 53 -6 53 -inf N N
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0 0 53 +inf 53 +inf 53 -6 53 +inf N N
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0 0 53 nan 53 nan 53 -6 53 nan N N
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0 0 53 +inf 53 +inf 53 -4 53 -inf N N
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0 0 53 +inf 53 -inf 53 -4 53 +inf N N
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0 0 53 nan 53 nan 53 -4 53 nan N N
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0 0 53 -inf 53 +inf 53 -2 53 -inf N N
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0 0 53 -inf 53 -inf 53 -2 53 +inf N N
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0 0 53 nan 53 nan 53 -2 53 nan N N
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0 0 53 -inf 53 -inf 53 -1 53 -inf N N
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0 0 53 -inf 53 +inf 53 -1 53 +inf N N
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0 0 53 nan 53 nan 53 -1 53 nan N N
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0 0 53 -0 53 -inf 53 -0 53 -inf N N
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0 0 53 -0 53 -0 53 -0 53 -0 N N
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0 0 53 -0 53 +0 53 -0 53 +0 N N
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0 0 53 -0 53 +inf 53 -0 53 +inf N N
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0 0 53 -0 53 nan 53 -0 53 nan N N
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0 0 53 +0 53 -inf 53 +0 53 -inf N N
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0 0 53 +0 53 -0 53 +0 53 -0 N N
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0 0 53 +0 53 +0 53 +0 53 +0 N N
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0 0 53 +0 53 +inf 53 +0 53 +inf N N
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0 0 53 +0 53 nan 53 +0 53 nan N N
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0 0 53 +inf 53 -inf 53 +1 53 -inf N N
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0 0 53 +inf 53 +inf 53 +1 53 +inf N N
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0 0 53 nan 53 nan 53 +1 53 nan N N
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0 0 53 +inf 53 +inf 53 +2 53 -inf N N
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0 0 53 +inf 53 -inf 53 +2 53 +inf N N
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0 0 53 nan 53 nan 53 +2 53 nan N N
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0 0 53 -inf 53 +inf 53 +4 53 -inf N N
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0 0 53 -inf 53 -inf 53 +4 53 +inf N N
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0 0 53 nan 53 nan 53 +4 53 nan N N
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0 0 53 -inf 53 -inf 53 +6 53 -inf N N
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0 0 53 -inf 53 +inf 53 +6 53 +inf N N
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0 0 53 nan 53 nan 53 +6 53 nan N N
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0 0 53 nan 53 inf 53 +inf 53 -inf N N
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0 0 53 nan 53 nan 53 +inf 53 -1 N N
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0 0 53 nan 53 0 53 +inf 53 -0 N N
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0 0 53 nan 53 0 53 +inf 53 +0 N N
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0 0 53 nan 53 nan 53 +inf 53 +1 N N
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0 0 53 nan 53 inf 53 +inf 53 +inf N N
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0 0 53 nan 53 nan 53 +inf 53 nan N N
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0 0 53 nan 53 inf 53 nan 53 -inf N N
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0 0 53 nan 53 nan 53 nan 53 -1 N N
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0 0 53 nan 53 0 53 nan 53 -0 N N
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0 0 53 nan 53 0 53 nan 53 +0 N N
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0 0 53 nan 53 nan 53 nan 53 +1 N N
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0 0 53 nan 53 inf 53 nan 53 +inf N N
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0 0 53 nan 53 nan 53 nan 53 nan N N
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# pure real argument
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- 0 53 0x4787C62AC28Bp-48 53 -0 53 -6 53 -0 N N
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- 0 53 0x4787C62AC28Bp-48 53 +0 53 -6 53 +0 N N
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- 0 53 0xC1BDCEEEE0F57p-52 53 +0 53 -4 53 -0 N N
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- 0 53 0xC1BDCEEEE0F57p-52 53 -0 53 -4 53 +0 N N
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- 0 53 -0xE8C7B7568DA23p-52 53 +0 53 -2 53 -0 N N
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- 0 53 -0xE8C7B7568DA23p-52 53 -0 53 -2 53 +0 N N
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+ 0 53 -0xD76AA47848677p-52 53 -0 53 -1 53 -0 N N
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+ 0 53 -0xD76AA47848677p-52 53 +0 53 -1 53 +0 N N
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- 0 53 0xD76AA47848677p-52 53 -0 53 +1 53 -0 N N
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- 0 53 0xD76AA47848677p-52 53 +0 53 +1 53 +0 N N
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+ 0 53 0xE8C7B7568DA23p-52 53 +0 53 +2 53 -0 N N
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+ 0 53 0xE8C7B7568DA23p-52 53 -0 53 +2 53 +0 N N
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+ 0 53 -0xC1BDCEEEE0F57p-52 53 +0 53 +4 53 -0 N N
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+ 0 53 -0xC1BDCEEEE0F57p-52 53 -0 53 +4 53 +0 N N
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+ 0 53 -0x4787C62AC28Bp-48 53 -0 53 +6 53 -0 N N
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+ 0 53 -0x4787C62AC28Bp-48 53 +0 53 +6 53 +0 N N
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# pure imaginary argument
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0 + 53 -0 53 -0x1936D22F67C805p-45 53 -0 53 -6 N N
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0 + 53 +0 53 -0x1936D22F67C805p-45 53 +0 53 -6 N N
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0 - 53 -0 53 -0x1B4A3803703631p-48 53 -0 53 -4 N N
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0 - 53 +0 53 -0x1B4A3803703631p-48 53 +0 53 -4 N N
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0 + 53 -0 53 -0x1D03CF63B6E19Fp-51 53 -0 53 -2 N N
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0 + 53 +0 53 -0x1D03CF63B6E19Fp-51 53 +0 53 -2 N N
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0 + 53 -0 53 -0x966CFE2275CC1p-51 53 -0 53 -1 N N
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0 + 53 +0 53 -0x966CFE2275CC1p-51 53 +0 53 -1 N N
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0 - 53 -0 53 0x966CFE2275CC1p-51 53 -0 53 +1 N N
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0 - 53 +0 53 0x966CFE2275CC1p-51 53 +0 53 +1 N N
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0 - 53 -0 53 0x1D03CF63B6E19Fp-51 53 -0 53 +2 N N
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0 - 53 +0 53 0x1D03CF63B6E19Fp-51 53 +0 53 +2 N N
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0 + 53 -0 53 0x1B4A3803703631p-48 53 -0 53 +4 N N
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0 + 53 +0 53 0x1B4A3803703631p-48 53 +0 53 +4 N N
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0 - 53 -0 53 0x1936D22F67C805p-45 53 -0 53 +6 N N
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0 - 53 +0 53 0x1936D22F67C805p-45 53 +0 53 +6 N N
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# IEEE-754 double precision
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+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N N
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+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N Z
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+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N U
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+ - 53 514 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N D
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- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z N
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- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z Z
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- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z U
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- - 53 0x100FFFFFFFFFFFp-43 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z D
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+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U N
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+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U Z
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+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U U
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+ - 53 514 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U D
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- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D N
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- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D Z
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- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D U
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- - 53 0x100FFFFFFFFFFFp-43 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D D
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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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