1# Data file for mpc_atan. 2# 3# Copyright (C) 2009, 2012 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(atan op) rounded to the precision PREC_ROP_RE 31# in the direction RND_RE 32# ROP_IM is checked against Im(atan 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-52 53 -0 53 -inf 53 -inf N N 52+ 0 53 -0x1921FB54442D18p-52 53 -0 53 -inf 53 -1 N N 53+ 0 53 -0x1921FB54442D18p-52 53 -0 53 -inf 53 -0 N N 54+ 0 53 -0x1921FB54442D18p-52 53 +0 53 -inf 53 +0 N N 55+ 0 53 -0x1921FB54442D18p-52 53 +0 53 -inf 53 +1 N N 56+ 0 53 -0x1921FB54442D18p-52 53 +0 53 -inf 53 +inf N N 57+ 0 53 -0x1921FB54442D18p-52 53 0 53 -inf 53 nan N N 58+ 0 53 -0x1921FB54442D18p-52 53 -0 53 -6 53 -inf N N 59+ 0 53 -0x1921FB54442D18p-52 53 +0 53 -6 53 +inf N N 600 0 53 nan 53 nan 53 -6 53 nan N N 61+ 0 53 -0x1921FB54442D18p-52 53 -0 53 -0 53 -inf N N 620 0 53 -0 53 -0 53 -0 53 -0 N N 630 0 53 -0 53 +0 53 -0 53 +0 N N 64+ 0 53 -0x1921FB54442D18p-52 53 +0 53 -0 53 +inf N N 650 0 53 nan 53 nan 53 -0 53 nan N N 66- 0 53 +0x1921FB54442D18p-52 53 -0 53 +0 53 -inf N N 670 0 53 +0 53 -0 53 +0 53 -0 N N 680 0 53 +0 53 +0 53 +0 53 +0 N N 69- 0 53 +0x1921FB54442D18p-52 53 +0 53 +0 53 +inf N N 700 0 53 nan 53 nan 53 +0 53 nan N N 71- 0 53 +0x1921FB54442D18p-52 53 -0 53 +6 53 -inf N N 72- 0 53 +0x1921FB54442D18p-52 53 +0 53 +6 53 +inf N N 730 0 53 nan 53 nan 53 +6 53 nan N N 74- 0 53 +0x1921FB54442D18p-52 53 -0 53 +inf 53 -inf N N 75- 0 53 +0x1921FB54442D18p-52 53 -0 53 +inf 53 -1 N N 76- 0 53 +0x1921FB54442D18p-52 53 -0 53 +inf 53 -0 N N 77- 0 53 +0x1921FB54442D18p-52 53 +0 53 +inf 53 +0 N N 78- 0 53 +0x1921FB54442D18p-52 53 +0 53 +inf 53 +1 N N 79- 0 53 +0x1921FB54442D18p-52 53 +0 53 +inf 53 +inf N N 80- 0 53 +0x1921FB54442D18p-52 53 0 53 +inf 53 nan N N 810 0 53 nan 53 -0 53 nan 53 -inf N N 820 0 53 nan 53 nan 53 nan 53 -1 N N 830 0 53 nan 53 -0 53 nan 53 -0 N N 840 0 53 nan 53 +0 53 nan 53 +0 N N 850 0 53 nan 53 nan 53 nan 53 +1 N N 860 0 53 nan 53 +0 53 nan 53 +inf N N 870 0 53 nan 53 nan 53 nan 53 nan N N 88 89# pure real argument 90- 0 53 -0x16DCC57BB565FDp-52 53 -0 53 -7 53 -0 N N 91- 0 53 -0x16DCC57BB565FDp-52 53 +0 53 -7 53 +0 N N 92+ 0 53 -0x1F730BD281F69Bp-53 53 -0 53 -1.5 53 -0 N N 93+ 0 53 -0x1F730BD281F69Bp-53 53 +0 53 -1.5 53 +0 N N 94+ 0 53 -0x1921FB54442D18p-53 53 -0 53 -1 53 -0 N N 95+ 0 53 -0x1921FB54442D18p-53 53 +0 53 -1 53 +0 N N 96- 0 53 -0x1700A7C5784634p-53 53 -0 53 -0.875 53 -0 N N 97- 0 53 -0x1700A7C5784634p-53 53 +0 53 -0.875 53 +0 N N 98- 0 53 -0x1FD5BA9AAC2F6Ep-56 53 -0 53 -0.125 53 -0 N N 99- 0 53 -0x1FD5BA9AAC2F6Ep-56 53 +0 53 -0.125 53 +0 N N 100+ 0 53 +0x1FD5BA9AAC2F6Ep-56 53 +0 53 +0.125 53 +0 N N 101+ 0 53 +0x1FD5BA9AAC2F6Ep-56 53 -0 53 +0.125 53 -0 N N 102+ 0 53 +0x1700A7C5784634p-53 53 +0 53 +0.875 53 +0 N N 103+ 0 53 +0x1700A7C5784634p-53 53 -0 53 +0.875 53 -0 N N 104- 0 53 +0x1921FB54442D18p-53 53 +0 53 +1 53 +0 N N 105- 0 53 +0x1921FB54442D18p-53 53 -0 53 +1 53 -0 N N 106- 0 53 +0x1F730BD281F69Bp-53 53 +0 53 +1.5 53 +0 N N 107- 0 53 +0x1F730BD281F69Bp-53 53 -0 53 +1.5 53 -0 N N 108+ 0 53 +0x16DCC57BB565FDp-52 53 +0 53 +7 53 +0 N N 109+ 0 53 +0x16DCC57BB565FDp-52 53 -0 53 +7 53 -0 N N 110 111# pure imaginary argument 112+ + 53 -0x1921FB54442D18p-52 53 -0x1269621134DB92p-55 53 -0 53 -7 N N 113- + 53 +0x1921FB54442D18p-52 53 -0x1269621134DB92p-55 53 +0 53 -7 N N 114+ + 53 -0x1921FB54442D18p-52 53 -0x19C041F7ED8D33p-53 53 -0 53 -1.5 N N 115- + 53 +0x1921FB54442D18p-52 53 -0x19C041F7ED8D33p-53 53 +0 53 -1.5 N N 1160 0 53 nan 53 -inf 53 -0 53 -1 N N 1170 0 53 nan 53 -inf 53 +0 53 -1 N N 1180 + 53 -0 53 -0x15AA16394D481Fp-52 53 -0 53 -0.875 N N 1190 + 53 +0 53 -0x15AA16394D481Fp-52 53 +0 53 -0.875 N N 1200 + 53 -0 53 -0x1015891C9EAEF7p-55 53 -0 53 -0.125 N N 1210 + 53 +0 53 -0x1015891C9EAEF7p-55 53 +0 53 -0.125 N N 1220 - 53 +0 53 +0x1015891C9EAEF7p-55 53 +0 53 +0.125 N N 1230 - 53 -0 53 +0x1015891C9EAEF7p-55 53 -0 53 +0.125 N N 1240 - 53 +0 53 +0x15AA16394D481Fp-52 53 +0 53 +0.875 N N 1250 - 53 -0 53 +0x15AA16394D481Fp-52 53 -0 53 +0.875 N N 1260 0 53 nan 53 +inf 53 +0 53 +1 N N 1270 0 53 nan 53 +inf 53 -0 53 +1 N N 128- - 53 +0x1921FB54442D18p-52 53 +0x19C041F7ED8D33p-53 53 +0 53 +1.5 N N 129+ - 53 -0x1921FB54442D18p-52 53 +0x19C041F7ED8D33p-53 53 -0 53 +1.5 N N 130- - 53 +0x1921FB54442D18p-52 53 +0x1269621134DB92p-55 53 +0 53 +7 N N 131+ - 53 -0x1921FB54442D18p-52 53 +0x1269621134DB92p-55 53 -0 53 +7 N N 1320 + 53 +0 53 0x1FFFFFFFFFFF82p-52 53 +0 53 0x1ED9505E1BC3C2p-53 N N 1330 0 53 nan 53 -inf 53 +0 53 -1 N N 1340 0 53 nan 53 +inf 53 +0 53 +1 N N 135+ - 512 0x6487ED5110B4611A62633145C06E0E68948127044533E63A0105DF531D89CD9128A5043CC71A026EF7CA8CD9E69D218D98158536F92F8A1BA7F09AB6B6A8E123p-510 512 0x5D137113B914461DA3202D77346EE4980DA5FD0BAD68F5A7928DCA9F632750D9BFFA00654C523929F15DED554EC6BC476DB2C46FA433E569227085E0BDEA86FFp-509 512 0 512 0x1018734E311AB77B710F9212969B3C86E8F388BB7DA5BAF74ADE078F43D96456D088C8A0B2A370159DFB8D4A4BC51BCDA91F2DCD01B2EC610C62AA33FAD1688p-504 N Z 136+ - 12 0xC91p-11 12 0x6F1p-50 12 +0 12 0x9380000000 N N 137 138# general inputs 139+ - 72 0x91EA521228BFC46ACAp-118 72 -0x9E96A01DBAD6470974p-73 72 0x84C3E02A5C6DEE8410p-118 72 -0x99B43C52A95A21C220p-73 U N 140- - 72 0x91EA521228BFC46AC9p-118 72 -0x9E96A01DBAD6470974p-73 72 0x84C3E02A5C6DEE8410p-118 72 -0x99B43C52A95A21C220p-73 D D 141- + 72 0x91EA521228BFC46AC9p-118 72 -0x9E96A01DBAD6470973p-73 72 0x84C3E02A5C6DEE8410p-118 72 -0x99B43C52A95A21C220p-73 D U 142+ + 72 0x91EA521228BFC46ACAp-118 72 0x9E96A01DBAD6470974p-73 72 0x84C3E02A5C6DEE8410p-118 72 0x99B43C52A95A21C220p-73 U N 143- + 72 0x91EA521228BFC46AC9p-118 72 0x9E96A01DBAD6470974p-73 72 0x84C3E02A5C6DEE8410p-118 72 0x99B43C52A95A21C220p-73 D U 144- - 72 0x91EA521228BFC46AC9p-118 72 0x9E96A01DBAD6470973p-73 72 0x84C3E02A5C6DEE8410p-118 72 0x99B43C52A95A21C220p-73 D D 145+ - 156 -0xC90FDAA22167B20DB08A0C3B1FF415CABE49624p-155 156 0xEA84E971BD52E49CCEE036E303D5ECB2D9D9B9Ap-222 156 -0xF0CE58073F866A53F25DB85DE8D503FBDD81051p-109 156 0xCF81D7C76BB9754A52056CB0F144B0C6700CC8Cp-128 N N 146- - 2 0.75 2 -3 2 0x1p-7 2 -1 N N 147- + 2 0.75 2 3 2 0x1p-7 2 1 N N 148 149# improve test coverage 150+ - 57 -0x1.921fb54442d184 57 -0x8.a7e33db93ecf18@-34 57 -0xa.529626a89a1960@23 57 -0x3.9a5472b5709e74@14 N N 151