1 # Data file for mpc_acos.
3 # Copyright (C) 2009 Philippe Th\'eveny, Paul Zimmermann
5 # This file is part of the MPC Library.
7 # The MPC Library is free software; you can redistribute it and/or modify
8 # it under the terms of the GNU Lesser General Public License as published by
9 # the Free Software Foundation; either version 2.1 of the License, or (at your
10 # option) any later version.
12 # The MPC Library is distributed in the hope that it will be useful, but
13 # WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
14 # or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
15 # License for more details.
17 # You should have received a copy of the GNU Lesser General Public License
18 # along with the MPC Library; see the file COPYING.LIB. If not, write to
19 # the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 # The line format respects the parameter order in function prototype as
25 # 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
27 # where op = op_re + i * op_im, rop = rop_re + i * rop_im,
28 # rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE
29 # rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM
30 # op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE
31 # op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM
32 # ROP_RE is checked against Re(acos op) rounded to the precision PREC_ROP_RE
33 # in the direction RND_RE
34 # ROP_IM is checked against Im(acos op) rounded to the precision PREC_ROP_IM
35 # in the direction RND_IM
36 # INEX_RE is the ternary value for the real part with the following notation:
37 # "?" ternary value not checked
38 # "+" if ROP_RE is greater than the exact mathematical result
39 # "0" if ROP_RE is exactly the mathematical result
40 # "-" if ROP_RE is less than the exact mathematical result
42 # rounding modes notation:
43 # "N" is rounding to nearest
44 # "Z" is rounding towards zero
45 # "U" is rounding towards plus infinity
46 # "D" is rounding towards minus infinity
47 # Use prefixes "0b" for values in base two, "0x" for values in base sixteen,
48 # no prefix for value in base ten.
49 # In all bases, "nan" is NaN, "inf" is infinity;
50 # The sign of the result is checked with "+inf", "-inf", "-0", or "+0".
52 # special values (following ISO C99 standard)
53 - 0 53 0x12D97C7F3321D2p-51 53 +inf 53 -inf 53 -inf N N
54 - 0 53 0x1921FB54442D18p-51 53 +inf 53 -inf 53 -1 N N
55 - 0 53 0x1921FB54442D18p-51 53 +inf 53 -inf 53 -0 N N
56 - 0 53 0x1921FB54442D18p-51 53 -inf 53 -inf 53 +0 N N
57 - 0 53 0x1921FB54442D18p-51 53 -inf 53 -inf 53 +1 N N
58 - 0 53 0x12D97C7F3321D2p-51 53 -inf 53 -inf 53 +inf N N
59 0 0 53 nan 53 inf 53 -inf 53 nan N N
60 - 0 53 0x1921FB54442D18p-52 53 +inf 53 -6 53 -inf N N
61 - 0 53 0x1921FB54442D18p-52 53 -inf 53 -6 53 +inf N N
62 0 0 53 nan 53 nan 53 -6 53 nan N N
63 - 0 53 0x1921FB54442D18p-52 53 +inf 53 -0.5 53 -inf N N
64 - 0 53 0x1921FB54442D18p-52 53 -inf 53 -0.5 53 +inf N N
65 0 0 53 nan 53 nan 53 -0.5 53 nan N N
66 - 0 53 0x1921FB54442D18p-52 53 +inf 53 -0 53 -inf N N
67 - 0 53 0x1921FB54442D18p-52 53 +0 53 -0 53 -0 N N
68 - 0 53 0x1921FB54442D18p-52 53 -0 53 -0 53 +0 N N
69 - 0 53 0x1921FB54442D18p-52 53 -inf 53 -0 53 +inf N N
70 - 0 53 0x1921FB54442D18p-52 53 nan 53 -0 53 nan N N
71 - 0 53 0x1921FB54442D18p-52 53 +inf 53 +0 53 -inf N N
72 - 0 53 0x1921FB54442D18p-52 53 +0 53 +0 53 -0 N N
73 - 0 53 0x1921FB54442D18p-52 53 -0 53 +0 53 +0 N N
74 - 0 53 0x1921FB54442D18p-52 53 -inf 53 +0 53 +inf N N
75 - 0 53 0x1921FB54442D18p-52 53 nan 53 +0 53 nan N N
76 - 0 53 0x1921FB54442D18p-52 53 +inf 53 +0.5 53 -inf N N
77 - 0 53 0x1921FB54442D18p-52 53 -inf 53 +0.5 53 +inf N N
78 0 0 53 nan 53 nan 53 +0.5 53 nan N N
79 - 0 53 0x1921FB54442D18p-52 53 +inf 53 +6 53 -inf N N
80 - 0 53 0x1921FB54442D18p-52 53 -inf 53 +6 53 +inf N N
81 0 0 53 nan 53 nan 53 +6 53 nan N N
82 - 0 53 0x1921FB54442D18p-53 53 +inf 53 +inf 53 -inf N N
83 0 0 53 +0 53 +inf 53 +inf 53 -1 N N
84 0 0 53 +0 53 +inf 53 +inf 53 -0 N N
85 0 0 53 +0 53 -inf 53 +inf 53 +0 N N
86 0 0 53 +0 53 -inf 53 +inf 53 +1 N N
87 - 0 53 0x1921FB54442D18p-53 53 -inf 53 +inf 53 +inf N N
88 0 0 53 nan 53 inf 53 +inf 53 nan N N
89 0 0 53 nan 53 +inf 53 nan 53 -inf N N
90 0 0 53 nan 53 nan 53 nan 53 -1 N N
91 0 0 53 nan 53 nan 53 nan 53 -0 N N
92 0 0 53 nan 53 nan 53 nan 53 +0 N N
93 0 0 53 nan 53 nan 53 nan 53 +1 N N
94 0 0 53 nan 53 -inf 53 nan 53 +inf N N
95 0 0 53 nan 53 nan 53 nan 53 nan N N
98 - + 53 0x1921FB54442D18p-51 53 0x13D2B7539DBA4Cp-51 53 -6 53 -0 N N
99 - - 53 0x1921FB54442D18p-51 53 -0x13D2B7539DBA4Cp-51 53 -6 53 +0 N N
100 - + 53 0x1921FB54442D18p-51 53 0x15124271980435p-52 53 -2 53 -0 N N
101 - - 53 0x1921FB54442D18p-51 53 -0x15124271980435p-52 53 -2 53 +0 N N
102 - 0 53 0x1921FB54442D18p-51 53 +0 53 -1 53 -0 N N
103 - 0 53 0x1921FB54442D18p-51 53 -0 53 -1 53 +0 N N
104 + 0 53 0x10C152382D7366p-51 53 +0 53 -0.5 53 -0 N N
105 + 0 53 0x10C152382D7366p-51 53 -0 53 -0.5 53 +0 N N
106 + 0 53 0x10C152382D7366p-52 53 -0 53 +0.5 53 +0 N N
107 + 0 53 0x10C152382D7366p-52 53 +0 53 +0.5 53 -0 N N
108 0 0 53 +0 53 -0 53 +1 53 +0 N N
109 0 0 53 +0 53 +0 53 +1 53 -0 N N
110 0 - 53 +0 53 -0x15124271980435p-52 53 +2 53 +0 N N
111 0 + 53 +0 53 0x15124271980435p-52 53 +2 53 -0 N N
112 0 - 53 +0 53 -0x13D2B7539DBA4Cp-51 53 +6 53 +0 N N
113 0 + 53 +0 53 0x13D2B7539DBA4Cp-51 53 +6 53 -0 N N
115 # pure imaginary argument
116 - + 53 0x1921FB54442D18p-52 53 0x1D185B507EDC0Ep-52 53 -0 53 -3 N N
117 - + 53 0x1921FB54442D18p-52 53 0x1D185B507EDC0Ep-52 53 +0 53 -3 N N
118 - + 53 0x1921FB54442D18p-52 53 0x1FACFB2399E637p-55 53 -0 53 -.25 N N
119 - + 53 0x1921FB54442D18p-52 53 0x1FACFB2399E637p-55 53 +0 53 -.25 N N
120 - - 53 0x1921FB54442D18p-52 53 -0x1FACFB2399E637p-55 53 -0 53 +.25 N N
121 - - 53 0x1921FB54442D18p-52 53 -0x1FACFB2399E637p-55 53 +0 53 +.25 N N
122 - - 53 0x1921FB54442D18p-52 53 -0x1D185B507EDC0Ep-52 53 -0 53 +3 N N
123 - - 53 0x1921FB54442D18p-52 53 -0x1D185B507EDC0Ep-52 53 +0 53 +3 N N
125 # regular argument for various precisions
126 - + 2 0.5 2 -1 2 2 2 1 N Z
127 + + 9 0x5Dp-6 9 0x9Fp-5 9 8.5 9 -71 N U
128 + + 2 0x3p-9 2 1.5 2 2 2 -0x1p-7 U N
129 + - 53 0x74C141310E695p-53 53 -0x1D6D2CFA9F3F11p-52 53 0x3243F6A8885A3p-48 53 0x162E42FEFA39EFp-53 N N