1# Data file for mpc_asin.
2#
3# Copyright (C) 2009 INRIA
4#
5# This file is part of GNU MPC.
6#
7# GNU MPC is free software; you can redistribute it and/or modify it under
8# the terms of the GNU Lesser General Public License as published by the
9# Free Software Foundation; either version 3 of the License, or (at your
10#o ption) any later version.
11#
12# GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
13# WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
14# FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
15# more details.
16#
17# You should have received a copy of the GNU Lesser General Public License
18# along with this program. If not, see http://www.gnu.org/licenses/ .
19#
20# The line format respects the parameter order in function prototype as
21# follow:
22#
23# 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
24#
25# where op = op_re + i * op_im, rop = rop_re + i * rop_im,
26# rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE
27# rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM
28# op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE
29# op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM
30# ROP_RE is checked against Re(asin op) rounded to the precision PREC_ROP_RE
31#   in the direction RND_RE
32# ROP_IM is checked against Im(asin op) rounded to the precision PREC_ROP_IM
33#   in the direction RND_IM
34# INEX_RE is the ternary value for the real part with the following notation:
35# "?" ternary value not checked
36# "+" if ROP_RE is greater than the exact mathematical result
37# "0" if ROP_RE is exactly the mathematical result
38# "-" if ROP_RE is less than the exact mathematical result
39# (m.m. INEX_IM)
40# rounding modes notation:
41# "N" is rounding to nearest
42# "Z" is rounding towards zero
43# "U" is rounding towards plus infinity
44# "D" is rounding towards minus infinity
45# Use prefixes "0b" for values in base two, "0x" for values in base sixteen,
46#   no prefix for value in base ten.
47# In all bases, "nan" is NaN, "inf" is infinity;
48# The sign of the result is checked with "+inf", "-inf", "-0", or "+0".
49
50# special values (following ISO C99 standard)
51+ 0 53 -0x1921FB54442D18p-53 53 -inf    53 -inf 53 -inf N N
52+ 0 53 -0x1921FB54442D18p-52 53 -inf    53 -inf 53   -1 N N
53+ 0 53 -0x1921FB54442D18p-52 53 -inf    53 -inf 53   -0 N N
54+ 0 53 -0x1921FB54442D18p-52 53 +inf    53 -inf 53   +0 N N
55+ 0 53 -0x1921FB54442D18p-52 53 +inf    53 -inf 53   +1 N N
56+ 0 53 -0x1921FB54442D18p-53 53 +inf    53 -inf 53 +inf N N
570 0 53                   nan 53  inf    53 -inf 53  nan N N
580 0 53                    -0 53 -inf    53   -6 53 -inf N N
590 0 53                    -0 53 +inf    53   -6 53 +inf N N
600 0 53                   nan 53  nan    53   -6 53  nan N N
610 0 53                    -0 53 -inf    53 -0.5 53 -inf N N
620 0 53                    -0 53 +inf    53 -0.5 53 +inf N N
630 0 53                   nan 53  nan    53 -0.5 53  nan N N
640 0 53                    -0 53 -inf    53   -0 53 -inf N N
650 0 53                    -0 53   -0    53   -0 53   -0 N N
660 0 53                    -0 53   +0    53   -0 53   +0 N N
670 0 53                    -0 53 +inf    53   -0 53 +inf N N
680 0 53                    -0 53  nan    53   -0 53  nan N N
690 0 53                    +0 53 -inf    53   +0 53 -inf N N
700 0 53                    +0 53   -0    53   +0 53   -0 N N
710 0 53                    +0 53   +0    53   +0 53   +0 N N
720 0 53                    +0 53 +inf    53   +0 53 +inf N N
730 0 53                    +0 53  nan    53   +0 53  nan N N
740 0 53                    +0 53 -inf    53 +0.5 53 -inf N N
750 0 53                    +0 53 +inf    53 +0.5 53 +inf N N
760 0 53                   nan 53  nan    53 +0.5 53  nan N N
770 0 53                    +0 53 -inf    53   +6 53 -inf N N
780 0 53                    +0 53 +inf    53   +6 53 +inf N N
790 0 53                   nan 53  nan    53   +6 53  nan N N
80- 0 53  0x1921FB54442D18p-53 53 -inf    53 +inf 53 -inf N N
81- 0 53  0x1921FB54442D18p-52 53 -inf    53 +inf 53   -1 N N
82- 0 53  0x1921FB54442D18p-52 53 -inf    53 +inf 53   -0 N N
83- 0 53  0x1921FB54442D18p-52 53 +inf    53 +inf 53   +0 N N
84- 0 53  0x1921FB54442D18p-52 53 +inf    53 +inf 53   +1 N N
85- 0 53  0x1921FB54442D18p-53 53 +inf    53 +inf 53 +inf N N
860 0 53                   nan 53  inf    53 +inf 53  nan N N
870 0 53                   nan 53 -inf    53  nan 53 -inf N N
880 0 53                   nan 53  nan    53  nan 53   -1 N N
890 0 53                   nan 53  nan    53  nan 53   -0 N N
900 0 53                   nan 53  nan    53  nan 53   +0 N N
910 0 53                   nan 53  nan    53  nan 53   +1 N N
920 0 53                   nan 53 +inf    53  nan 53 +inf N N
930 0 53                   nan 53  nan    53  nan 53  nan N N
94
95# pure real argument
96+ - 53 -0x1921FB54442D18p-52 53 -0x1ECC2CAEC5160Ap-53    53 -1.5 53   -0 N N
97+ + 53 -0x1921FB54442D18p-52 53  0x1ECC2CAEC5160Ap-53    53 -1.5 53   +0 N N
98+ 0 53 -0x1921FB54442D18p-52 53                    -0    53   -1 53   -0 N N
99+ 0 53 -0x1921FB54442D18p-52 53                    +0    53   -1 53   +0 N N
100- 0 53 -0x10C152382D7366p-53 53                    -0    53 -0.5 53   -0 N N
101- 0 53 -0x10C152382D7366p-53 53                    +0    53 -0.5 53   +0 N N
102+ 0 53  0x10C152382D7366p-53 53                    -0    53 +0.5 53   -0 N N
103+ 0 53  0x10C152382D7366p-53 53                    +0    53 +0.5 53   +0 N N
104- 0 53  0x1921FB54442D18p-52 53                    -0    53   +1 53   -0 N N
105- 0 53  0x1921FB54442D18p-52 53                    +0    53   +1 53   +0 N N
106- - 53  0x1921FB54442D18p-52 53 -0x1ECC2CAEC5160Ap-53    53 +1.5 53   -0 N N
107- + 53  0x1921FB54442D18p-52 53  0x1ECC2CAEC5160Ap-53    53 +1.5 53   +0 N N
108
109# pure imaginary argument
1100 + 53                    -0 53 -0x131DC0090B63D8p-52    53   -0 53 -1.5 N N
1110 + 53                    +0 53 -0x131DC0090B63D8p-52    53   +0 53 -1.5 N N
1120 - 53                    -0 53 -0x1C34366179D427p-53    53   -0 53   -1 N N
1130 - 53                    +0 53 -0x1C34366179D427p-53    53   +0 53   -1 N N
1140 - 53                    -0 53 -0x1ECC2CAEC5160Ap-54    53   -0 53 -0.5 N N
1150 - 53                    +0 53 -0x1ECC2CAEC5160Ap-54    53   +0 53 -0.5 N N
1160 + 53                    -0 53  0x1ECC2CAEC5160Ap-54    53   -0 53 +0.5 N N
1170 + 53                    +0 53  0x1ECC2CAEC5160Ap-54    53   +0 53 +0.5 N N
1180 + 53                    -0 53  0x1C34366179D427p-53    53   -0 53   +1 N N
1190 + 53                    +0 53  0x1C34366179D427p-53    53   +0 53   +1 N N
1200 - 53                    -0 53  0x131DC0090B63D8p-52    53   -0 53 +1.5 N N
1210 - 53                    +0 53  0x131DC0090B63D8p-52    53   +0 53 +1.5 N N
122
123# IEEE-754 double precision and other precisions
124+ - 53 0x189BF9EC7FCD5Bp-54 53 0x1206ECFA94614Bp-50 53 17 53 42 N N
125- + 2 1.5 2 6 2 96 2 0x1p-8 N N
126- - 8 0xC9p-7 8 0x15p-2 2 96 2 0x1p-8 N N
127