1# Data file for mpc_add.
2#
3# Copyright (C) 2008 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_OP1_RE  OP1_RE  PREC_OP1_IM  OP1_IM  PREC_OP2_RE  OP2_RE  PREC_OP2_IM  OP2_IM  RND_RE  RND_IM
24#
25# where op1 = op1_re + i * op1_im, op2 = op2_re + i * op2_im, rop = rop_re + i * rop_im,
26# The data are read from the file and stored in variables op1, op2, rop using
27# rounding to nearest when needed, for instance: rop_re is ROP_RE rounded to
28# nearest to the precision of PREC_ROP_RE.
29# ROP_RE is checked against Re(op1 + op2) rounded to the precision PREC_ROP_RE
30#   in the direction RND_RE
31# ROP_IM is checked against Im(op1 + op2) rounded to the precision PREC_ROP_IM
32#   in the direction RND_IM
33# INEX_RE is the ternary value for the real part with the following notation:
34# "?" ternary value not checked
35# "+" if ROP_RE is greater than the exact mathematical result
36# "0" if ROP_RE is exactly the mathematical result
37# "-" if ROP_RE is less than the exact mathematical result
38# (m.m. INEX_IM)
39# rounding modes notation:
40# "N" is rounding to nearest
41# "Z" is rounding towards zero
42# "U" is rounding towards plus infinity
43# "D" is rounding towards minus infinity
44# Use prefixes "0b" for values in base two, "0x" for values in base sixteen,
45#   no prefix for value in base ten.
46# In all bases, "nan" is NaN, "inf" is infinity;
47# The sign of the result is checked with "+inf", "-inf", "-0", or "+0".
48
49# special values (following ISO C99 standard)
500 0 53 -inf 53 -inf    53 -inf 53 -inf 53 -inf 53 -inf N Z
510 0 53 -inf 53  nan    53 -inf 53 +inf 53   +1 53 -inf Z U
520 0 53 +inf 53 -inf    53 +inf 53 -inf 53 +inf 53   +0 U D
530 0 53 +inf 53 +inf    53 +inf 53 +inf 53   -0 53   -1 D N
540 0 53 -inf 53 -inf    53 -inf 53 -inf 53   -0 53   -1 N U
550 0 53  nan 53  nan    53 -inf 53 +inf 53 +inf 53  nan Z D # check this is true in ISO C99
560 0 53  nan 53 -inf    53 +inf 53 -inf 53  nan 53   -1 U N
570 0 53 +inf 53  nan    53 +inf 53 +inf 53   -0 53  nan D Z
580 0 53  nan 53  nan    53 -inf 53 -inf 53  nan 53  nan N D
59
600 0 53 +inf 53 -inf    53   -1 53 -inf 53 +inf 53   -1 N D
610 0 53  nan 53   +1    53 -inf 53   +1 53 +inf 53   -0 Z N
620 0 53   +1 53 -inf    53   +1 53 -inf 53   -0 53   +1 U Z
630 0 53 +inf 53   +1    53 +inf 53   +1 53   -0 53   -0 D U
640 0 53 +inf 53  nan    53   -1 53 -inf 53 +inf 53  nan N N
650 0 53  nan 53   +2    53 -inf 53   +1 53  nan 53   +1 Z Z
660 0 53   +1 53  nan    53   +1 53 -inf 53   -0 53  nan U U # check this
670 0 53  nan 53  nan    53 +inf 53   +1 53  nan 53  nan D D
68
690 0 53   -0 53  nan    53   -0 53 -inf 53   +0 53 +inf D D
700 0 53 -inf 53   +0    53 -inf 53   +0 53   +1 53   -0 N Z
710 0 53   +0 53 -inf    53   +0 53 -inf 53   -0 53   -0 Z U
720 0 53  nan 53  nan    53 +inf 53   +0 53 -inf 53  nan U D # check
730 0 53  nan 53 -inf    53   -0 53 -inf 53  nan 53   -1 D N
740 0 53 -inf 53  nan    53 -inf 53   +0 53   +0 53  nan N U
750 0 53  nan 53  nan    53   +0 53 -inf 53  nan 53  nan Z D
76
770 0 53   +0 53   -0    53   +0 53   +1 53   -0 53   -1 Z D
780 0 53   -1 53   -0    53   -1 53   -0 53   +0 53   -0 U N
790 0 53  nan 53 +inf    53   -0 53   +1 53  nan 53 +inf D Z
800 0 53   +0 53  nan    53   +1 53   -0 53   -1 53  nan N D
810 0 53  nan 53   +1    53   +0 53   +1 53  nan 53   -0 Z N
820 0 53  nan 53  nan    53   -1 53   -0 53  nan 53  nan U Z
83
840 0 53   +0 53   +0    53   -0 53   +0 53   +0 53   -0 U Z
850 0 53  nan 53 -inf    53   +0 53   -0 53  nan 53 -inf D U
860 0 53   -1 53  nan    53   +0 53   +0 53   -1 53  nan N N
870 0 53  nan 53   -0    53   -0 53   -0 53  nan 53   -0 Z Z
880 0 53  nan 53  nan    53   -0 53   +0 53  nan 53  nan U U
89
900 0 53  nan 53  nan    53  nan 53 -inf 53  nan 53 +inf U U # check
910 0 53 +inf 53  nan    53 +inf 53  nan 53   -1 53  nan D D
920 0 53  nan 53 -inf    53  nan 53 -inf 53  nan 53   -0 N Z
930 0 53  nan 53  nan    53 -inf 53  nan 53  nan 53  nan Z U # check
94
950 0 53  nan 53  nan    53   +1 53  nan 53  nan 53   -1 Z U
960 0 53  nan 53  nan    53  nan 53   +1 53   -0 53  nan U D
970 0 53  nan 53  nan    53   -1 53  nan 53  nan 53  nan D N
98
990 0 53  nan 53  nan    53  nan 53   +0 53   +0 53  nan D N
1000 0 53  nan 53  nan    53   +0 53  nan 53  nan 53  nan N U
101
1020 0 53  nan 53  nan    53  nan 53  nan 53  nan 53  nan N U
103
104# pure real argument
105+ 0 53  0x10000000000001p-52  53 -0    53 +1 53 -0 53 0x10000000000001p-105 53 -0 N N
106- 0 53  0x10000000000000p-52  53 -0    53 +1 53 -0 53 0x10000000000001p-105 53 -0 Z Z
107+ 0 53  0x10000000000001p-52  53 -0    53 +1 53 -0 53 0x10000000000001p-105 53 -0 U U
108- 0 53  0x10000000000000p-52  53 -0    53 +1 53 -0 53 0x10000000000001p-105 53 -0 D D
109
110# pure imaginary argument
1110 + 53 -0 53  0x10000000000001p-52     53 -0 53 0x10000000000001p-105 53 -0 53 +1 N N
1120 - 53 +0 53  0x10000000000000p-52     53 +0 53 0x10000000000001p-105 53 -0 53 +1 Z Z
1130 + 53 +0 53  0x10000000000001p-52     53 +0 53 0x10000000000001p-105 53 -0 53 +1 U U
1140 - 53 -0 53  0x10000000000000p-52     53 -0 53 0x10000000000001p-105 53 -0 53 +1 D D
115
116