# Data file for mpc_sin.
#
# 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/ .
#
# The line format respects the parameter order in function prototype as
# follow:
#
# 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
#
# where op = op_re + i * op_im, rop = rop_re + i * rop_im,
# rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE
# rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM
# op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE
# op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM
# ROP_RE is checked against Re(sin op) rounded to the precision PREC_ROP_RE
# in the direction RND_RE
# ROP_IM is checked against Im(sin op) rounded to the precision PREC_ROP_IM
# in the direction RND_IM
# INEX_RE is the ternary value for the real part with the following notation:
# "?" ternary value not checked
# "+" if ROP_RE is greater than the exact mathematical result
# "0" if ROP_RE is exactly the mathematical result
# "-" if ROP_RE is less than the exact mathematical result
# (m.m. INEX_IM)
# rounding modes notation:
# "N" is rounding to nearest
# "Z" is rounding towards zero
# "U" is rounding towards plus infinity
# "D" is rounding towards minus infinity
# Use prefixes "0b" for values in base two, "0x" for values in base sixteen,
# no prefix for value in base ten.
# In all bases, "nan" is NaN, "inf" is infinity;
# The sign of the result is checked with "+inf", "-inf", "-0", or "+0".
# special values (following ISO C99 standard)
0 0 53 nan 53 inf 53 -inf 53 -inf N N
0 0 53 nan 53 nan 53 -inf 53 -1 N N
0 0 53 nan 53 0 53 -inf 53 -0 N N
0 0 53 nan 53 0 53 -inf 53 +0 N N
0 0 53 nan 53 nan 53 -inf 53 +1 N N
0 0 53 nan 53 inf 53 -inf 53 +inf N N
0 0 53 nan 53 nan 53 -inf 53 nan N N
0 0 53 +inf 53 -inf 53 -6 53 -inf N N
0 0 53 +inf 53 +inf 53 -6 53 +inf N N
0 0 53 nan 53 nan 53 -6 53 nan N N
0 0 53 +inf 53 +inf 53 -4 53 -inf N N
0 0 53 +inf 53 -inf 53 -4 53 +inf N N
0 0 53 nan 53 nan 53 -4 53 nan N N
0 0 53 -inf 53 +inf 53 -2 53 -inf N N
0 0 53 -inf 53 -inf 53 -2 53 +inf N N
0 0 53 nan 53 nan 53 -2 53 nan N N
0 0 53 -inf 53 -inf 53 -1 53 -inf N N
0 0 53 -inf 53 +inf 53 -1 53 +inf N N
0 0 53 nan 53 nan 53 -1 53 nan N N
0 0 53 -0 53 -inf 53 -0 53 -inf N N
0 0 53 -0 53 -0 53 -0 53 -0 N N
0 0 53 -0 53 +0 53 -0 53 +0 N N
0 0 53 -0 53 +inf 53 -0 53 +inf N N
0 0 53 -0 53 nan 53 -0 53 nan N N
0 0 53 +0 53 -inf 53 +0 53 -inf N N
0 0 53 +0 53 -0 53 +0 53 -0 N N
0 0 53 +0 53 +0 53 +0 53 +0 N N
0 0 53 +0 53 +inf 53 +0 53 +inf N N
0 0 53 +0 53 nan 53 +0 53 nan N N
0 0 53 +inf 53 -inf 53 +1 53 -inf N N
0 0 53 +inf 53 +inf 53 +1 53 +inf N N
0 0 53 nan 53 nan 53 +1 53 nan N N
0 0 53 +inf 53 +inf 53 +2 53 -inf N N
0 0 53 +inf 53 -inf 53 +2 53 +inf N N
0 0 53 nan 53 nan 53 +2 53 nan N N
0 0 53 -inf 53 +inf 53 +4 53 -inf N N
0 0 53 -inf 53 -inf 53 +4 53 +inf N N
0 0 53 nan 53 nan 53 +4 53 nan N N
0 0 53 -inf 53 -inf 53 +6 53 -inf N N
0 0 53 -inf 53 +inf 53 +6 53 +inf N N
0 0 53 nan 53 nan 53 +6 53 nan N N
0 0 53 nan 53 inf 53 +inf 53 -inf N N
0 0 53 nan 53 nan 53 +inf 53 -1 N N
0 0 53 nan 53 0 53 +inf 53 -0 N N
0 0 53 nan 53 0 53 +inf 53 +0 N N
0 0 53 nan 53 nan 53 +inf 53 +1 N N
0 0 53 nan 53 inf 53 +inf 53 +inf N N
0 0 53 nan 53 nan 53 +inf 53 nan N N
0 0 53 nan 53 inf 53 nan 53 -inf N N
0 0 53 nan 53 nan 53 nan 53 -1 N N
0 0 53 nan 53 0 53 nan 53 -0 N N
0 0 53 nan 53 0 53 nan 53 +0 N N
0 0 53 nan 53 nan 53 nan 53 +1 N N
0 0 53 nan 53 inf 53 nan 53 +inf N N
0 0 53 nan 53 nan 53 nan 53 nan N N
# pure real argument
- 0 53 0x4787C62AC28Bp-48 53 -0 53 -6 53 -0 N N
- 0 53 0x4787C62AC28Bp-48 53 +0 53 -6 53 +0 N N
- 0 53 0xC1BDCEEEE0F57p-52 53 +0 53 -4 53 -0 N N
- 0 53 0xC1BDCEEEE0F57p-52 53 -0 53 -4 53 +0 N N
- 0 53 -0xE8C7B7568DA23p-52 53 +0 53 -2 53 -0 N N
- 0 53 -0xE8C7B7568DA23p-52 53 -0 53 -2 53 +0 N N
+ 0 53 -0xD76AA47848677p-52 53 -0 53 -1 53 -0 N N
+ 0 53 -0xD76AA47848677p-52 53 +0 53 -1 53 +0 N N
- 0 53 0xD76AA47848677p-52 53 -0 53 +1 53 -0 N N
- 0 53 0xD76AA47848677p-52 53 +0 53 +1 53 +0 N N
+ 0 53 0xE8C7B7568DA23p-52 53 +0 53 +2 53 -0 N N
+ 0 53 0xE8C7B7568DA23p-52 53 -0 53 +2 53 +0 N N
+ 0 53 -0xC1BDCEEEE0F57p-52 53 +0 53 +4 53 -0 N N
+ 0 53 -0xC1BDCEEEE0F57p-52 53 -0 53 +4 53 +0 N N
+ 0 53 -0x4787C62AC28Bp-48 53 -0 53 +6 53 -0 N N
+ 0 53 -0x4787C62AC28Bp-48 53 +0 53 +6 53 +0 N N
# pure imaginary argument
0 + 53 -0 53 -0x1936D22F67C805p-45 53 -0 53 -6 N N
0 + 53 +0 53 -0x1936D22F67C805p-45 53 +0 53 -6 N N
0 - 53 -0 53 -0x1B4A3803703631p-48 53 -0 53 -4 N N
0 - 53 +0 53 -0x1B4A3803703631p-48 53 +0 53 -4 N N
0 + 53 -0 53 -0x1D03CF63B6E19Fp-51 53 -0 53 -2 N N
0 + 53 +0 53 -0x1D03CF63B6E19Fp-51 53 +0 53 -2 N N
0 + 53 -0 53 -0x966CFE2275CC1p-51 53 -0 53 -1 N N
0 + 53 +0 53 -0x966CFE2275CC1p-51 53 +0 53 -1 N N
0 - 53 -0 53 0x966CFE2275CC1p-51 53 -0 53 +1 N N
0 - 53 +0 53 0x966CFE2275CC1p-51 53 +0 53 +1 N N
0 - 53 -0 53 0x1D03CF63B6E19Fp-51 53 -0 53 +2 N N
0 - 53 +0 53 0x1D03CF63B6E19Fp-51 53 +0 53 +2 N N
0 + 53 -0 53 0x1B4A3803703631p-48 53 -0 53 +4 N N
0 + 53 +0 53 0x1B4A3803703631p-48 53 +0 53 +4 N N
0 - 53 -0 53 0x1936D22F67C805p-45 53 -0 53 +6 N N
0 - 53 +0 53 0x1936D22F67C805p-45 53 +0 53 +6 N N
# IEEE-754 double precision
+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N N
+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N Z
+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N U
+ - 53 514 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N D
- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z N
- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z Z
- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z U
- - 53 0x100FFFFFFFFFFFp-43 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z D
+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U N
+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U Z
+ + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U U
+ - 53 514 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U D
- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D N
- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D Z
- + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D U
- - 53 0x100FFFFFFFFFFFp-43 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D D
# 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
# bug reported by Joseph Myers (25 Mar 2015)
- - 2 0x3p1073741819 2 0x3p1073741819 2 -0x1p200 2 -0x1p800 Z Z