1876 lines · c
1// REQUIRES: target-is-powerpc64le2// RUN: %clang_builtins %s %librt -o %t && %run %t3#include <stdio.h>4#include "DD.h"5 6long double __gcc_qadd(long double x, long double y);7int memcmp(const void *, const void *, __typeof__(sizeof(0)));8 9double testAccuracy();10int testEdgeCases();11 12int main(int argc, char *argv[]) {13 if (testEdgeCases())14 return 1;15 16 if (testAccuracy() > 1.0)17 return 1;18 19 return 0;20}21 22struct testVector {23 double xhi; double xlo;24 double yhi; double ylo;25 double rhi; double rlo;26};27 28#define INFINITY __builtin_inf()29#define HUGE 0x1.fffffffffffffp102330#define QNAN __builtin_nan("")31 32const struct testVector edgeCases[] = {33{ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 },34{ -0.0, 0.0, 0.0, 0.0, 0.0, 0.0 },35{ 0.0, 0.0, -0.0, 0.0, 0.0, 0.0 },36{ -0.0, 0.0, -0.0, 0.0, -0.0, 0.0 },37 38{ INFINITY, 0.0, 0.0, 0.0, INFINITY, 0.0 },39{ -INFINITY, 0.0, 0.0, 0.0, -INFINITY, 0.0 },40{ INFINITY, 0.0, -0.0, 0.0, INFINITY, 0.0 },41{ -INFINITY, 0.0, -0.0, 0.0, -INFINITY, 0.0 },42{ INFINITY, 0.0, 1.0, 0.0, INFINITY, 0.0 },43{ -INFINITY, 0.0, 1.0, 0.0, -INFINITY, 0.0 },44{ INFINITY, 0.0, -1.0, 0.0, INFINITY, 0.0 },45{ -INFINITY, 0.0, -1.0, 0.0, -INFINITY, 0.0 },46{ INFINITY, 0.0, HUGE, 0.0, INFINITY, 0.0 },47{ -INFINITY, 0.0, HUGE, 0.0, -INFINITY, 0.0 },48{ INFINITY, 0.0, -HUGE, 0.0, INFINITY, 0.0 },49{ -INFINITY, 0.0, -HUGE, 0.0, -INFINITY, 0.0 },50{ INFINITY, 0.0, INFINITY, 0.0, INFINITY, 0.0 },51{ -INFINITY, 0.0, INFINITY, 0.0, QNAN, 0.0 },52{ INFINITY, 0.0, -INFINITY, 0.0, QNAN, 0.0 },53{ -INFINITY, 0.0, -INFINITY, 0.0, -INFINITY, 0.0 },54{ 0.0, 0.0, INFINITY, 0.0, INFINITY, 0.0 },55{ 0.0, 0.0, -INFINITY, 0.0, -INFINITY, 0.0 },56{ -0.0, 0.0, INFINITY, 0.0, INFINITY, 0.0 },57{ -0.0, 0.0, -INFINITY, 0.0, -INFINITY, 0.0 },58{ 1.0, 0.0, INFINITY, 0.0, INFINITY, 0.0 },59{ 1.0, 0.0, -INFINITY, 0.0, -INFINITY, 0.0 },60{ -1.0, 0.0, INFINITY, 0.0, INFINITY, 0.0 },61{ -1.0, 0.0, -INFINITY, 0.0, -INFINITY, 0.0 },62{ HUGE, 0.0, INFINITY, 0.0, INFINITY, 0.0 },63{ HUGE, 0.0, -INFINITY, 0.0, -INFINITY, 0.0 },64{ -HUGE, 0.0, INFINITY, 0.0, INFINITY, 0.0 },65{ -HUGE, 0.0, -INFINITY, 0.0, -INFINITY, 0.0 },66 67{ QNAN, 0.0, 0.0, 0.0, QNAN, 0.0 },68{ -QNAN, 0.0, 0.0, 0.0, QNAN, 0.0 },69{ QNAN, 0.0, -0.0, 0.0, QNAN, 0.0 },70{ -QNAN, 0.0, -0.0, 0.0, QNAN, 0.0 },71{ QNAN, 0.0, 1.0, 0.0, QNAN, 0.0 },72{ -QNAN, 0.0, 1.0, 0.0, QNAN, 0.0 },73{ QNAN, 0.0, -1.0, 0.0, QNAN, 0.0 },74{ -QNAN, 0.0, -1.0, 0.0, QNAN, 0.0 },75{ QNAN, 0.0, HUGE, 0.0, QNAN, 0.0 },76{ -QNAN, 0.0, HUGE, 0.0, QNAN, 0.0 },77{ QNAN, 0.0, -HUGE, 0.0, QNAN, 0.0 },78{ -QNAN, 0.0, -HUGE, 0.0, QNAN, 0.0 },79{ QNAN, 0.0, INFINITY, 0.0, QNAN, 0.0 },80{ -QNAN, 0.0, INFINITY, 0.0, QNAN, 0.0 },81{ QNAN, 0.0, -INFINITY, 0.0, QNAN, 0.0 },82{ -QNAN, 0.0, -INFINITY, 0.0, QNAN, 0.0 },83{ QNAN, 0.0, QNAN, 0.0, QNAN, 0.0 },84{ -QNAN, 0.0, QNAN, 0.0, QNAN, 0.0 },85{ QNAN, 0.0, -QNAN, 0.0, QNAN, 0.0 },86{ -QNAN, 0.0, -QNAN, 0.0, QNAN, 0.0 },87{ 0.0, 0.0, QNAN, 0.0, QNAN, 0.0 },88{ 0.0, 0.0, -QNAN, 0.0, QNAN, 0.0 },89{ -0.0, 0.0, QNAN, 0.0, QNAN, 0.0 },90{ -0.0, 0.0, -QNAN, 0.0, QNAN, 0.0 },91{ 1.0, 0.0, QNAN, 0.0, QNAN, 0.0 },92{ 1.0, 0.0, -QNAN, 0.0, QNAN, 0.0 },93{ -1.0, 0.0, QNAN, 0.0, QNAN, 0.0 },94{ -1.0, 0.0, -QNAN, 0.0, QNAN, 0.0 },95{ HUGE, 0.0, QNAN, 0.0, QNAN, 0.0 },96{ HUGE, 0.0, -QNAN, 0.0, QNAN, 0.0 },97{ -HUGE, 0.0, QNAN, 0.0, QNAN, 0.0 },98{ -HUGE, 0.0, -QNAN, 0.0, QNAN, 0.0 },99{ INFINITY, 0.0, QNAN, 0.0, QNAN, 0.0 },100{ INFINITY, 0.0, -QNAN, 0.0, QNAN, 0.0 },101{ -INFINITY, 0.0, QNAN, 0.0, QNAN, 0.0 },102{ -INFINITY, 0.0, -QNAN, 0.0, QNAN, 0.0 },103};104 105const int numEdgeCases = sizeof(edgeCases) / sizeof(struct testVector);106 107 108int testEdgeCases() {109 int i;110 DD a, b, c, r;111 for (i=0; i<numEdgeCases; ++i) {112 a.hi = edgeCases[i].xhi;113 a.lo = edgeCases[i].xlo;114 b.hi = edgeCases[i].yhi;115 b.lo = edgeCases[i].ylo;116 r.hi = edgeCases[i].rhi;117 r.lo = edgeCases[i].rlo;118 119 int error;120 121 DD c = { .ld = __gcc_qadd(a.ld, b.ld) };122 123 if (r.hi != r.hi) {124 if (c.hi == c.hi)125 error = 1;126 else if (c.lo != 0.0)127 error = 1;128 else129 error = 0;130 }131 132 else if (r.hi == 0.0)133 error = memcmp(&c, &r, sizeof(DD));134 135 else136 error = ((c.hi != r.hi) || (c.lo != r.lo));137 138 if (error) {139 printf("Error on edge case %a + %a: expected (%a, %a), got (%a, %a).\n", a.hi, b.hi, r.hi, r.lo, c.hi, c.lo);140 return 1;141 }142 }143 144 return 0;145}146 147 148/*149 150 Code for generating the test cases, requires the mpfr package to run.151 152 #include <stdio.h>153 #include <stdlib.h>154 #include <mpfr.h>155 156 #ifdef __x86_64__157 #define randlength 2158 #else159 #define randlength 4160 #endif161 162 163 int main(int argc, char *argv[]) {164 165 MPFR_DECL_INIT(a, 106);166 MPFR_DECL_INIT(b, 106);167 MPFR_DECL_INIT(c, 106);168 169 MPFR_DECL_INIT(tmp, 53);170 171 int exponent_range = atoi(argv[1]);172 173 int i;174 for (i=0; i<128; ++i) {175 mpfr_random2(a, randlength, exponent_range);176 mpfr_random2(b, randlength, exponent_range);177 mpfr_add(c, a, b, GMP_RNDN);178 179 double ahi = mpfr_get_d(a, GMP_RNDN);180 mpfr_set_d(tmp, ahi, GMP_RNDN);181 mpfr_sub(tmp, a, tmp, GMP_RNDN);182 double alo = mpfr_get_d(tmp, GMP_RNDN);183 printf("{%0.13a, %0.13a, ", ahi, alo);184 185 double bhi = mpfr_get_d(b, GMP_RNDN);186 mpfr_set_d(tmp, bhi, GMP_RNDN);187 mpfr_sub(tmp, b, tmp, GMP_RNDN);188 double blo = mpfr_get_d(tmp, GMP_RNDN);189 printf("%0.13a, %0.13a, ", bhi, blo);190 191 double chi = mpfr_get_d(c, GMP_RNDN);192 mpfr_set_d(tmp, chi, GMP_RNDN);193 mpfr_sub(tmp, c, tmp, GMP_RNDN);194 double clo = mpfr_get_d(tmp, GMP_RNDN);195 printf("%0.13a, %0.13a},\n", chi, clo);196 197 mpfr_neg(b, b, GMP_RNDN);198 mpfr_add(c, a, b, GMP_RNDN);199 200 ahi = mpfr_get_d(a, GMP_RNDN);201 mpfr_set_d(tmp, ahi, GMP_RNDN);202 mpfr_sub(tmp, a, tmp, GMP_RNDN);203 alo = mpfr_get_d(tmp, GMP_RNDN);204 printf("{%0.13a, %0.13a, ", ahi, alo);205 206 bhi = mpfr_get_d(b, GMP_RNDN);207 mpfr_set_d(tmp, bhi, GMP_RNDN);208 mpfr_sub(tmp, b, tmp, GMP_RNDN);209 blo = mpfr_get_d(tmp, GMP_RNDN);210 printf("%0.13a, %0.13a, ", bhi, blo);211 212 chi = mpfr_get_d(c, GMP_RNDN);213 mpfr_set_d(tmp, chi, GMP_RNDN);214 mpfr_sub(tmp, c, tmp, GMP_RNDN);215 clo = mpfr_get_d(tmp, GMP_RNDN);216 printf("%0.13a, %0.13a},\n", chi, clo);217 218 mpfr_neg(a, a, GMP_RNDN);219 mpfr_neg(b, b, GMP_RNDN);220 mpfr_add(c, a, b, GMP_RNDN);221 222 ahi = mpfr_get_d(a, GMP_RNDN);223 mpfr_set_d(tmp, ahi, GMP_RNDN);224 mpfr_sub(tmp, a, tmp, GMP_RNDN);225 alo = mpfr_get_d(tmp, GMP_RNDN);226 printf("{%0.13a, %0.13a, ", ahi, alo);227 228 bhi = mpfr_get_d(b, GMP_RNDN);229 mpfr_set_d(tmp, bhi, GMP_RNDN);230 mpfr_sub(tmp, b, tmp, GMP_RNDN);231 blo = mpfr_get_d(tmp, GMP_RNDN);232 printf("%0.13a, %0.13a, ", bhi, blo);233 234 chi = mpfr_get_d(c, GMP_RNDN);235 mpfr_set_d(tmp, chi, GMP_RNDN);236 mpfr_sub(tmp, c, tmp, GMP_RNDN);237 clo = mpfr_get_d(tmp, GMP_RNDN);238 printf("%0.13a, %0.13a},\n", chi, clo);239 240 mpfr_neg(b, b, GMP_RNDN);241 mpfr_add(c, a, b, GMP_RNDN);242 243 ahi = mpfr_get_d(a, GMP_RNDN);244 mpfr_set_d(tmp, ahi, GMP_RNDN);245 mpfr_sub(tmp, a, tmp, GMP_RNDN);246 alo = mpfr_get_d(tmp, GMP_RNDN);247 printf("{%0.13a, %0.13a, ", ahi, alo);248 249 bhi = mpfr_get_d(b, GMP_RNDN);250 mpfr_set_d(tmp, bhi, GMP_RNDN);251 mpfr_sub(tmp, b, tmp, GMP_RNDN);252 blo = mpfr_get_d(tmp, GMP_RNDN);253 printf("%0.13a, %0.13a, ", bhi, blo);254 255 chi = mpfr_get_d(c, GMP_RNDN);256 mpfr_set_d(tmp, chi, GMP_RNDN);257 mpfr_sub(tmp, c, tmp, GMP_RNDN);258 clo = mpfr_get_d(tmp, GMP_RNDN);259 printf("%0.13a, %0.13a},\n", chi, clo);260 }261 262 return 0;263 }264 265 266 */267 268const struct testVector accuracyTests[] = {269// Some test cases that cover the whole exponent range:270{0x1.0000000000002p+366, -0x1.ffc0ffff90000p+302, 0x1.0003ffffffffcp+140, 0x1.ffffc00000000p+53, 0x1.0000000000002p+366, -0x1.ffc0ffff90000p+302},271{0x1.0000000000002p+366, -0x1.ffc0ffff90000p+302, -0x1.0003ffffffffcp+140, -0x1.ffffc00000000p+53, 0x1.0000000000002p+366, -0x1.ffc0ffff90000p+302},272{-0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302, 0x1.0003ffffffffcp+140, 0x1.ffffc00000000p+53, -0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302},273{-0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302, -0x1.0003ffffffffcp+140, -0x1.ffffc00000000p+53, -0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302},274{0x1.0000100000000p-746, -0x1.0000000000000p-808, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692},275{0x1.0000100000000p-746, -0x1.0000000000000p-808, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692},276{-0x1.0000100000000p-746, 0x1.0000000000000p-808, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692},277{-0x1.0000100000000p-746, 0x1.0000000000000p-808, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692},278{0x1.0000000800000p+426, -0x1.0000000000000p+354, 0x1.000003fffc002p-730, -0x1.0000000000000p-835, 0x1.0000000800000p+426, -0x1.0000000000000p+354},279{0x1.0000000800000p+426, -0x1.0000000000000p+354, -0x1.000003fffc002p-730, 0x1.0000000000000p-835, 0x1.0000000800000p+426, -0x1.0000000000000p+354},280{-0x1.0000000800000p+426, 0x1.0000000000000p+354, 0x1.000003fffc002p-730, -0x1.0000000000000p-835, -0x1.0000000800000p+426, 0x1.0000000000000p+354},281{-0x1.0000000800000p+426, 0x1.0000000000000p+354, -0x1.000003fffc002p-730, 0x1.0000000000000p-835, -0x1.0000000800000p+426, 0x1.0000000000000p+354},282{0x1.0000000000000p-262, 0x1.ffc001ffffe00p-317, 0x1.000003fff8000p-258, 0x1.fffc000fc0000p-329, 0x1.100003fff8000p-258, 0x1.ffe001c000dc0p-317},283{0x1.0000000000000p-262, 0x1.ffc001ffffe00p-317, -0x1.000003fff8000p-258, -0x1.fffc000fc0000p-329, -0x1.e00007fff0000p-259, 0x1.ffa0023ffee40p-317},284{-0x1.0000000000000p-262, -0x1.ffc001ffffe00p-317, 0x1.000003fff8000p-258, 0x1.fffc000fc0000p-329, 0x1.e00007fff0000p-259, -0x1.ffa0023ffee40p-317},285{-0x1.0000000000000p-262, -0x1.ffc001ffffe00p-317, -0x1.000003fff8000p-258, -0x1.fffc000fc0000p-329, -0x1.100003fff8000p-258, -0x1.ffe001c000dc0p-317},286{0x1.0000000000003p+980, 0x1.fc00001fff800p+916, 0x1.0000000000020p+626, -0x1.fc01ffe002000p+562, 0x1.0000000000003p+980, 0x1.fc00001fff800p+916},287{0x1.0000000000003p+980, 0x1.fc00001fff800p+916, -0x1.0000000000020p+626, 0x1.fc01ffe002000p+562, 0x1.0000000000003p+980, 0x1.fc00001fff800p+916},288{-0x1.0000000000003p+980, -0x1.fc00001fff800p+916, 0x1.0000000000020p+626, -0x1.fc01ffe002000p+562, -0x1.0000000000003p+980, -0x1.fc00001fff800p+916},289{-0x1.0000000000003p+980, -0x1.fc00001fff800p+916, -0x1.0000000000020p+626, 0x1.fc01ffe002000p+562, -0x1.0000000000003p+980, -0x1.fc00001fff800p+916},290{0x1.0000000000000p-800, 0x1.fffff00001ffep-854, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410},291{0x1.0000000000000p-800, 0x1.fffff00001ffep-854, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410},292{-0x1.0000000000000p-800, -0x1.fffff00001ffep-854, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410},293{-0x1.0000000000000p-800, -0x1.fffff00001ffep-854, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410},294{0x1.0000000000000p+925, 0x1.ffffffffffc00p+862, 0x1.0000200000000p-454, -0x1.ffc0000080000p-526, 0x1.0000000000000p+925, 0x1.ffffffffffc00p+862},295{0x1.0000000000000p+925, 0x1.ffffffffffc00p+862, -0x1.0000200000000p-454, 0x1.ffc0000080000p-526, 0x1.0000000000000p+925, 0x1.ffffffffffc00p+862},296{-0x1.0000000000000p+925, -0x1.ffffffffffc00p+862, 0x1.0000200000000p-454, -0x1.ffc0000080000p-526, -0x1.0000000000000p+925, -0x1.ffffffffffc00p+862},297{-0x1.0000000000000p+925, -0x1.ffffffffffc00p+862, -0x1.0000200000000p-454, 0x1.ffc0000080000p-526, -0x1.0000000000000p+925, -0x1.ffffffffffc00p+862},298{0x1.0000000000800p+265, -0x1.fffc000000010p+208, 0x1.0000000000008p-204, -0x1.ffe03fffff010p-261, 0x1.0000000000800p+265, -0x1.fffc000000010p+208},299{0x1.0000000000800p+265, -0x1.fffc000000010p+208, -0x1.0000000000008p-204, 0x1.ffe03fffff010p-261, 0x1.0000000000800p+265, -0x1.fffc000000010p+208},300{-0x1.0000000000800p+265, 0x1.fffc000000010p+208, 0x1.0000000000008p-204, -0x1.ffe03fffff010p-261, -0x1.0000000000800p+265, 0x1.fffc000000010p+208},301{-0x1.0000000000800p+265, 0x1.fffc000000010p+208, -0x1.0000000000008p-204, 0x1.ffe03fffff010p-261, -0x1.0000000000800p+265, 0x1.fffc000000010p+208},302{0x1.0000000000000p-690, 0x1.fffef0ffff000p-753, 0x1.0000100000000p+763, -0x1.fff8000000800p+699, 0x1.0000100000000p+763, -0x1.fff8000000800p+699},303{0x1.0000000000000p-690, 0x1.fffef0ffff000p-753, -0x1.0000100000000p+763, 0x1.fff8000000800p+699, -0x1.0000100000000p+763, 0x1.fff8000000800p+699},304{-0x1.0000000000000p-690, -0x1.fffef0ffff000p-753, 0x1.0000100000000p+763, -0x1.fff8000000800p+699, 0x1.0000100000000p+763, -0x1.fff8000000800p+699},305{-0x1.0000000000000p-690, -0x1.fffef0ffff000p-753, -0x1.0000100000000p+763, 0x1.fff8000000800p+699, -0x1.0000100000000p+763, 0x1.fff8000000800p+699},306{0x1.07c00007ffff0p-506, 0x1.fffc00f800000p-582, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373},307{0x1.07c00007ffff0p-506, 0x1.fffc00f800000p-582, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373},308{-0x1.07c00007ffff0p-506, -0x1.fffc00f800000p-582, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373},309{-0x1.07c00007ffff0p-506, -0x1.fffc00f800000p-582, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373},310{0x1.0000000000000p-958, 0x1.ff800fffff800p-1014, 0x1.0000000000000p+373, 0x1.fffc0000ffff8p+317, 0x1.0000000000000p+373, 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-0x1.ffffe07e00000p-347},781{-0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347, -0x1.07ff000008000p-591, 0x1.e000020000000p-652, -0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347},782// Some test cases where a and b are guaranteed to overlap:783{0x1.0000000000002p-39, -0x1.ffc0ffff90000p-103, 0x1.0003ffffffffcp-35, 0x1.ffffc00000000p-122, 0x1.1003ffffffffcp-35, 0x1.ffe003f400068p-91},784{0x1.0000000000002p-39, -0x1.ffc0ffff90000p-103, -0x1.0003ffffffffcp-35, -0x1.ffffc00000000p-122, -0x1.e007ffffffff8p-36, 0x1.ffe003ec00078p-91},785{-0x1.0000000000002p-39, 0x1.ffc0ffff90000p-103, 0x1.0003ffffffffcp-35, 0x1.ffffc00000000p-122, 0x1.e007ffffffff8p-36, -0x1.ffe003ec00078p-91},786{-0x1.0000000000002p-39, 0x1.ffc0ffff90000p-103, -0x1.0003ffffffffcp-35, -0x1.ffffc00000000p-122, -0x1.1003ffffffffcp-35, -0x1.ffe003f400068p-91},787{0x1.0000100000000p+23, -0x1.0000000000000p-39, 0x1.0000000004000p-41, -0x1.ffffe00fc0200p-97, 0x1.0000100000000p+23, -0x1.7ffffffffe000p-40},788{0x1.0000100000000p+23, -0x1.0000000000000p-39, -0x1.0000000004000p-41, 0x1.ffffe00fc0200p-97, 0x1.0000100000000p+23, -0x1.4000000001000p-39},789{-0x1.0000100000000p+23, 0x1.0000000000000p-39, 0x1.0000000004000p-41, -0x1.ffffe00fc0200p-97, -0x1.0000100000000p+23, 0x1.4000000001000p-39},790{-0x1.0000100000000p+23, 0x1.0000000000000p-39, -0x1.0000000004000p-41, 0x1.ffffe00fc0200p-97, -0x1.0000100000000p+23, 0x1.7ffffffffe000p-40},791{0x1.0000000800000p-42, -0x1.0000000000000p-114, 0x1.000003fffc002p-41, -0x1.0000000000000p-146, 0x1.80000403fc002p-41, -0x1.0000000100000p-114},792{0x1.0000000800000p-42, -0x1.0000000000000p-114, -0x1.000003fffc002p-41, 0x1.0000000000000p-146, -0x1.000007f7f8004p-42, -0x1.fffffffe00000p-115},793{-0x1.0000000800000p-42, 0x1.0000000000000p-114, 0x1.000003fffc002p-41, -0x1.0000000000000p-146, 0x1.000007f7f8004p-42, 0x1.fffffffe00000p-115},794{-0x1.0000000800000p-42, 0x1.0000000000000p-114, -0x1.000003fffc002p-41, 0x1.0000000000000p-146, -0x1.80000403fc002p-41, 0x1.0000000100000p-114},795{0x1.0000000000000p+46, 0x1.ffc001ffffe00p-9, 0x1.000003fff8000p-19, 0x1.fffc000fc0000p-90, 0x1.0000000000000p+46, 0x1.000001007fef0p-8},796{0x1.0000000000000p+46, 0x1.ffc001ffffe00p-9, -0x1.000003fff8000p-19, -0x1.fffc000fc0000p-90, 0x1.0000000000000p+46, 0x1.ff8001feffe20p-9},797{-0x1.0000000000000p+46, -0x1.ffc001ffffe00p-9, 0x1.000003fff8000p-19, 0x1.fffc000fc0000p-90, -0x1.0000000000000p+46, -0x1.ff8001feffe20p-9},798{-0x1.0000000000000p+46, -0x1.ffc001ffffe00p-9, -0x1.000003fff8000p-19, -0x1.fffc000fc0000p-90, -0x1.0000000000000p+46, -0x1.000001007fef0p-8},799{0x1.0000000000003p+33, 0x1.fc00001fff800p-31, 0x1.0000000000020p+40, -0x1.fc01ffe002000p-24, 0x1.0200000000020p+40, 0x1.781fd80080f80p-18},800{0x1.0000000000003p+33, 0x1.fc00001fff800p-31, -0x1.0000000000020p+40, 0x1.fc01ffe002000p-24, -0x1.fc00000000040p+39, 0x1.87ffe7ff81080p-18},801{-0x1.0000000000003p+33, -0x1.fc00001fff800p-31, 0x1.0000000000020p+40, -0x1.fc01ffe002000p-24, 0x1.fc00000000040p+39, -0x1.87ffe7ff81080p-18},802{-0x1.0000000000003p+33, -0x1.fc00001fff800p-31, -0x1.0000000000020p+40, 0x1.fc01ffe002000p-24, -0x1.0200000000020p+40, -0x1.781fd80080f80p-18},803{0x1.0000000000000p-42, 0x1.fffff00001ffep-96, 0x1.0000000000000p-9, 0x1.ff00000ffff80p-69, 0x1.0000000080000p-9, 0x1.ff00004ffff80p-69},804{0x1.0000000000000p-42, 0x1.fffff00001ffep-96, -0x1.0000000000000p-9, -0x1.ff00000ffff80p-69, -0x1.ffffffff00000p-10, -0x1.feffffcffff80p-69},805{-0x1.0000000000000p-42, -0x1.fffff00001ffep-96, 0x1.0000000000000p-9, 0x1.ff00000ffff80p-69, 0x1.ffffffff00000p-10, 0x1.feffffcffff80p-69},806{-0x1.0000000000000p-42, -0x1.fffff00001ffep-96, -0x1.0000000000000p-9, -0x1.ff00000ffff80p-69, -0x1.0000000080000p-9, -0x1.ff00004ffff80p-69},807{0x1.0000000000000p-46, 0x1.ffffffffffc00p-109, 0x1.0000200000000p+11, -0x1.ffc0000080000p-61, 0x1.0000200000000p+11, 0x1.fff800fffffe0p-47},808{0x1.0000000000000p-46, 0x1.ffffffffffc00p-109, -0x1.0000200000000p+11, 0x1.ffc0000080000p-61, -0x1.0000200000000p+11, 0x1.0003ff8000010p-46},809{-0x1.0000000000000p-46, -0x1.ffffffffffc00p-109, 0x1.0000200000000p+11, -0x1.ffc0000080000p-61, 0x1.0000200000000p+11, -0x1.0003ff8000010p-46},810{-0x1.0000000000000p-46, -0x1.ffffffffffc00p-109, -0x1.0000200000000p+11, 0x1.ffc0000080000p-61, -0x1.0000200000000p+11, -0x1.fff800fffffe0p-47},811{0x1.0000000000800p-4, -0x1.fffc000000010p-61, 0x1.0000000000008p-2, -0x1.ffe03fffff010p-59, 0x1.4000000000208p-2, -0x1.3fef9fffff808p-58},812{0x1.0000000000800p-4, -0x1.fffc000000010p-61, -0x1.0000000000008p-2, 0x1.ffe03fffff010p-59, -0x1.7fffffffffc10p-3, 0x1.7fe13fffff010p-59},813{-0x1.0000000000800p-4, 0x1.fffc000000010p-61, 0x1.0000000000008p-2, -0x1.ffe03fffff010p-59, 0x1.7fffffffffc10p-3, -0x1.7fe13fffff010p-59},814{-0x1.0000000000800p-4, 0x1.fffc000000010p-61, -0x1.0000000000008p-2, 0x1.ffe03fffff010p-59, -0x1.4000000000208p-2, 0x1.3fef9fffff808p-58},815{0x1.0000000000000p-39, 0x1.fffef0ffff000p-102, 0x1.0000100000000p-7, -0x1.fff8000000800p-71, 0x1.0000100100000p-7, -0x1.fff7fffc00800p-71},816{0x1.0000000000000p-39, 0x1.fffef0ffff000p-102, -0x1.0000100000000p-7, 0x1.fff8000000800p-71, -0x1.00000fff00000p-7, 0x1.fff8000400800p-71},817{-0x1.0000000000000p-39, -0x1.fffef0ffff000p-102, 0x1.0000100000000p-7, -0x1.fff8000000800p-71, 0x1.00000fff00000p-7, -0x1.fff8000400800p-71},818{-0x1.0000000000000p-39, -0x1.fffef0ffff000p-102, -0x1.0000100000000p-7, 0x1.fff8000000800p-71, -0x1.0000100100000p-7, 0x1.fff7fffc00800p-71},819{0x1.07c00007ffff0p-15, 0x1.fffc00f800000p-91, 0x1.0000007ffffe0p-11, 0x1.f000000000000p-82, 0x1.107c00807ffdfp-11, 0x1.f0fffe0080000p-82},820{0x1.07c00007ffff0p-15, 0x1.fffc00f800000p-91, -0x1.0000007ffffe0p-11, -0x1.f000000000000p-82, -0x1.df0800fefffc2p-12, -0x1.ef0001ff80000p-82},821{-0x1.07c00007ffff0p-15, -0x1.fffc00f800000p-91, 0x1.0000007ffffe0p-11, 0x1.f000000000000p-82, 0x1.df0800fefffc2p-12, 0x1.ef0001ff80000p-82},822{-0x1.07c00007ffff0p-15, -0x1.fffc00f800000p-91, -0x1.0000007ffffe0p-11, -0x1.f000000000000p-82, -0x1.107c00807ffdfp-11, -0x1.f0fffe0080000p-82},823{0x1.0000000000000p+37, 0x1.ff800fffff800p-19, 0x1.0000000000000p-32, 0x1.fffc0000ffff8p-88, 0x1.0000000000000p+37, 0x1.ff880fffff800p-19},824{0x1.0000000000000p+37, 0x1.ff800fffff800p-19, -0x1.0000000000000p-32, -0x1.fffc0000ffff8p-88, 0x1.0000000000000p+37, 0x1.ff780fffff800p-19},825{-0x1.0000000000000p+37, -0x1.ff800fffff800p-19, 0x1.0000000000000p-32, 0x1.fffc0000ffff8p-88, -0x1.0000000000000p+37, -0x1.ff780fffff800p-19},826{-0x1.0000000000000p+37, -0x1.ff800fffff800p-19, -0x1.0000000000000p-32, -0x1.fffc0000ffff8p-88, -0x1.0000000000000p+37, -0x1.ff880fffff800p-19},827{0x1.0000000008000p+44, -0x1.ffff807ffe002p-10, 0x1.0000000800000p-6, -0x1.ffffff8000008p-62, 0x1.0000000008004p+44, -0x1.ffff7ffffe004p-10},828{0x1.0000000008000p+44, -0x1.ffff807ffe002p-10, -0x1.0000000800000p-6, 0x1.ffffff8000008p-62, 0x1.0000000007ffcp+44, -0x1.ffff80fffe000p-10},829{-0x1.0000000008000p+44, 0x1.ffff807ffe002p-10, 0x1.0000000800000p-6, -0x1.ffffff8000008p-62, -0x1.0000000007ffcp+44, 0x1.ffff80fffe000p-10},830{-0x1.0000000008000p+44, 0x1.ffff807ffe002p-10, -0x1.0000000800000p-6, 0x1.ffffff8000008p-62, -0x1.0000000008004p+44, 0x1.ffff7ffffe004p-10},831{0x1.0000000000020p-53, -0x1.0000000000000p-136, 0x1.0000000000000p+33, 0x1.fffff000003c0p-26, 0x1.0000000000000p+33, 0x1.fffff020003c0p-26},832{0x1.0000000000020p-53, -0x1.0000000000000p-136, -0x1.0000000000000p+33, -0x1.fffff000003c0p-26, -0x1.0000000000000p+33, -0x1.ffffefe0003c0p-26},833{-0x1.0000000000020p-53, 0x1.0000000000000p-136, 0x1.0000000000000p+33, 0x1.fffff000003c0p-26, 0x1.0000000000000p+33, 0x1.ffffefe0003c0p-26},834{-0x1.0000000000020p-53, 0x1.0000000000000p-136, -0x1.0000000000000p+33, -0x1.fffff000003c0p-26, -0x1.0000000000000p+33, -0x1.fffff020003c0p-26},835{0x1.0000001ffff80p-7, 0x1.fffffdfffff8ep-61, 0x1.0000000200000p-27, -0x1.0000000000000p-96, 0x1.0000101ffff82p-7, 0x1.fffffdffdff8ep-61},836{0x1.0000001ffff80p-7, 0x1.fffffdfffff8ep-61, -0x1.0000000200000p-27, 0x1.0000000000000p-96, 0x1.ffffe03fffefdp-8, -0x1.ffe0072000000p-85},837{-0x1.0000001ffff80p-7, -0x1.fffffdfffff8ep-61, 0x1.0000000200000p-27, -0x1.0000000000000p-96, -0x1.ffffe03fffefdp-8, 0x1.ffe0072000000p-85},838{-0x1.0000001ffff80p-7, -0x1.fffffdfffff8ep-61, -0x1.0000000200000p-27, 0x1.0000000000000p-96, -0x1.0000101ffff82p-7, -0x1.fffffdffdff8ep-61},839{0x1.01ffffff80400p-38, -0x1.c7ffffc000100p-96, 0x1.0000000000000p-47, 0x1.8fff01fffff00p-107, 0x1.027fffff80400p-38, -0x1.c7cdffdfc0100p-96},840{0x1.01ffffff80400p-38, -0x1.c7ffffc000100p-96, -0x1.0000000000000p-47, -0x1.8fff01fffff00p-107, 0x1.017fffff80400p-38, -0x1.c831ffa040100p-96},841{-0x1.01ffffff80400p-38, 0x1.c7ffffc000100p-96, 0x1.0000000000000p-47, 0x1.8fff01fffff00p-107, -0x1.017fffff80400p-38, 0x1.c831ffa040100p-96},842{-0x1.01ffffff80400p-38, 0x1.c7ffffc000100p-96, -0x1.0000000000000p-47, -0x1.8fff01fffff00p-107, -0x1.027fffff80400p-38, 0x1.c7cdffdfc0100p-96},843{0x1.0000000000008p-27, -0x1.ffffc00800000p-100, 0x1.00003ffe00002p+16, -0x1.ffffffc180080p-44, 0x1.00003ffe00202p+16, -0x1.ffffffc080080p-44},844{0x1.0000000000008p-27, -0x1.ffffc00800000p-100, -0x1.00003ffe00002p+16, 0x1.ffffffc180080p-44, -0x1.00003ffdffe02p+16, 0x1.ffffffc280080p-44},845{-0x1.0000000000008p-27, 0x1.ffffc00800000p-100, 0x1.00003ffe00002p+16, -0x1.ffffffc180080p-44, 0x1.00003ffdffe02p+16, -0x1.ffffffc280080p-44},846{-0x1.0000000000008p-27, 0x1.ffffc00800000p-100, -0x1.00003ffe00002p+16, 0x1.ffffffc180080p-44, -0x1.00003ffe00202p+16, 0x1.ffffffc080080p-44},847{0x1.000000ffffff8p+16, 0x1.ffffffc000000p-41, 0x1.0000000000000p+8, 0x1.ffffffe000000p-50, 0x1.010000ffffff8p+16, 0x1.007fffdff8000p-40},848{0x1.000000ffffff8p+16, 0x1.ffffffc000000p-41, -0x1.0000000000000p+8, -0x1.ffffffe000000p-50, 0x1.fe0001ffffff0p+15, 0x1.feffffc010000p-41},849{-0x1.000000ffffff8p+16, -0x1.ffffffc000000p-41, 0x1.0000000000000p+8, 0x1.ffffffe000000p-50, -0x1.fe0001ffffff0p+15, -0x1.feffffc010000p-41},850{-0x1.000000ffffff8p+16, -0x1.ffffffc000000p-41, -0x1.0000000000000p+8, -0x1.ffffffe000000p-50, -0x1.010000ffffff8p+16, -0x1.007fffdff8000p-40},851{0x1.0000000020000p-39, -0x1.0000000000000p-144, 0x1.0000000000400p-40, -0x1.ff1ffffff4000p-107, 0x1.8000000020200p-39, -0x1.ff20000000000p-107},852{0x1.0000000020000p-39, -0x1.0000000000000p-144, -0x1.0000000000400p-40, 0x1.ff1ffffff4000p-107, 0x1.000000003fc00p-40, 0x1.ff1fffffec000p-107},853{-0x1.0000000020000p-39, 0x1.0000000000000p-144, 0x1.0000000000400p-40, -0x1.ff1ffffff4000p-107, -0x1.000000003fc00p-40, -0x1.ff1fffffec000p-107},854{-0x1.0000000020000p-39, 0x1.0000000000000p-144, -0x1.0000000000400p-40, 0x1.ff1ffffff4000p-107, -0x1.8000000020200p-39, 0x1.ff20000000000p-107},855{0x1.0000ff8020000p-18, -0x1.fffffa0000000p-80, 0x1.0000000001ff0p+30, 0x1.f700000ffe000p-36, 0x1.0000000002000p+30, 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0x1.000000000fe00p+44, 0x1.ffff7e0003ff8p-12, 0x1.ffee00009fc00p+43, 0x1.dfff7e0004018p-12},1230{-0x1.1ffff80000040p+31, 0x1.0000000000000p-59, -0x1.000000000fe00p+44, -0x1.ffff7e0003ff8p-12, -0x1.0008ffffcfe00p+44, -0x1.0fffbf0001fecp-11},1231{0x1.3fc0000040000p-13, -0x1.fffffff802000p-69, 0x1.fffffffffff00p+30, 0x0.0000000000000p+0, 0x1.00000000000c0p+31, -0x1.fffffe0000100p-24},1232{0x1.3fc0000040000p-13, -0x1.fffffff802000p-69, -0x1.fffffffffff00p+30, 0x0.0000000000000p+0, -0x1.ffffffffffc80p+30, -0x1.fffffe0000100p-24},1233{-0x1.3fc0000040000p-13, 0x1.fffffff802000p-69, 0x1.fffffffffff00p+30, 0x0.0000000000000p+0, 0x1.ffffffffffc80p+30, 0x1.fffffe0000100p-24},1234{-0x1.3fc0000040000p-13, 0x1.fffffff802000p-69, -0x1.fffffffffff00p+30, 0x0.0000000000000p+0, -0x1.00000000000c0p+31, 0x1.fffffe0000100p-24},1235{0x1.00000001fffffp-1, 0x1.00001f8000000p-72, 0x1.0000000000200p-15, -0x1.0000000000000p-120, 0x1.00040001fffffp-1, 0x1.000400007e000p-58},1236{0x1.00000001fffffp-1, 0x1.00001f8000000p-72, -0x1.0000000000200p-15, 0x1.0000000000000p-120, 0x1.fff80003ffffep-2, -0x1.fff7ffff04000p-59},1237{-0x1.00000001fffffp-1, -0x1.00001f8000000p-72, 0x1.0000000000200p-15, -0x1.0000000000000p-120, -0x1.fff80003ffffep-2, 0x1.fff7ffff04000p-59},1238{-0x1.00000001fffffp-1, -0x1.00001f8000000p-72, -0x1.0000000000200p-15, 0x1.0000000000000p-120, -0x1.00040001fffffp-1, -0x1.000400007e000p-58},1239{0x1.0000000010000p+26, -0x1.0000000000000p-51, 0x1.1fff010000000p-53, 0x1.ff8c0000007fep-107, 0x1.0000000010000p+26, -0x1.70007f8000000p-52},1240{0x1.0000000010000p+26, -0x1.0000000000000p-51, -0x1.1fff010000000p-53, -0x1.ff8c0000007fep-107, 0x1.0000000010000p+26, -0x1.47ffc04000000p-51},1241{-0x1.0000000010000p+26, 0x1.0000000000000p-51, 0x1.1fff010000000p-53, 0x1.ff8c0000007fep-107, -0x1.0000000010000p+26, 0x1.47ffc04000000p-51},1242{-0x1.0000000010000p+26, 0x1.0000000000000p-51, -0x1.1fff010000000p-53, -0x1.ff8c0000007fep-107, -0x1.0000000010000p+26, 0x1.70007f8000000p-52},1243{0x1.0000000000002p-44, -0x1.0000000000000p-131, 0x1.0000000000200p+33, -0x1.0000000000000p-52, 0x1.0000000000200p+33, 0x1.fe00000000000p-45},1244{0x1.0000000000002p-44, -0x1.0000000000000p-131, -0x1.0000000000200p+33, 0x1.0000000000000p-52, -0x1.0000000000200p+33, 0x1.0100000000000p-44},1245{-0x1.0000000000002p-44, 0x1.0000000000000p-131, 0x1.0000000000200p+33, -0x1.0000000000000p-52, 0x1.0000000000200p+33, -0x1.0100000000000p-44},1246{-0x1.0000000000002p-44, 0x1.0000000000000p-131, -0x1.0000000000200p+33, 0x1.0000000000000p-52, -0x1.0000000000200p+33, -0x1.fe00000000000p-45},1247{0x1.0000000000002p+32, -0x1.ffff800008000p-35, 0x1.000000003fffep-25, 0x1.f81fc007c0000p-96, 0x1.0000000000002p+32, 0x1.ff0000407ffc0p-26},1248{0x1.0000000000002p+32, -0x1.ffff800008000p-35, -0x1.000000003fffep-25, -0x1.f81fc007c0000p-96, 0x1.0000000000002p+32, -0x1.007fffe040020p-25},1249{-0x1.0000000000002p+32, 0x1.ffff800008000p-35, 0x1.000000003fffep-25, 0x1.f81fc007c0000p-96, -0x1.0000000000002p+32, 0x1.007fffe040020p-25},1250{-0x1.0000000000002p+32, 0x1.ffff800008000p-35, -0x1.000000003fffep-25, -0x1.f81fc007c0000p-96, -0x1.0000000000002p+32, -0x1.ff0000407ffc0p-26},1251{0x1.7ffffffff0000p+18, 0x1.ffff07fffc000p-46, 0x1.000000000ffe0p-32, 0x1.ff0000003c000p-95, 0x1.7ffffffff0004p+18, 0x1.ffff0bff7c000p-46},1252{0x1.7ffffffff0000p+18, 0x1.ffff07fffc000p-46, -0x1.000000000ffe0p-32, -0x1.ff0000003c000p-95, 0x1.7fffffffefffcp+18, 0x1.ffff04007c000p-46},1253{-0x1.7ffffffff0000p+18, -0x1.ffff07fffc000p-46, 0x1.000000000ffe0p-32, 0x1.ff0000003c000p-95, -0x1.7fffffffefffcp+18, -0x1.ffff04007c000p-46},1254{-0x1.7ffffffff0000p+18, -0x1.ffff07fffc000p-46, -0x1.000000000ffe0p-32, -0x1.ff0000003c000p-95, -0x1.7ffffffff0004p+18, -0x1.ffff0bff7c000p-46},1255{0x1.00007fff00080p-52, -0x1.ffffff0001000p-117, 0x1.00000000007c0p+41, 0x1.ffffff8000000p-26, 0x1.00000000007c0p+41, 0x1.ffffffc000000p-26},1256{0x1.00007fff00080p-52, -0x1.ffffff0001000p-117, -0x1.00000000007c0p+41, -0x1.ffffff8000000p-26, -0x1.00000000007c0p+41, -0x1.ffffff4000000p-26},1257{-0x1.00007fff00080p-52, 0x1.ffffff0001000p-117, 0x1.00000000007c0p+41, 0x1.ffffff8000000p-26, 0x1.00000000007c0p+41, 0x1.ffffff4000000p-26},1258{-0x1.00007fff00080p-52, 0x1.ffffff0001000p-117, -0x1.00000000007c0p+41, -0x1.ffffff8000000p-26, -0x1.00000000007c0p+41, -0x1.ffffffc000000p-26},1259{0x1.1fff81ff00000p+13, 0x1.e007ffff00000p-44, 0x1.1ffffffff8000p-5, 0x1.fe001ffffffe0p-61, 0x1.1fffc9ff00000p+13, -0x1.0ffb808078000p-43},1260{0x1.1fff81ff00000p+13, 0x1.e007ffff00000p-44, -0x1.1ffffffff8000p-5, -0x1.fe001ffffffe0p-61, 0x1.1fff39ff00000p+13, 0x1.7801c03fbc000p-42},1261{-0x1.1fff81ff00000p+13, -0x1.e007ffff00000p-44, 0x1.1ffffffff8000p-5, 0x1.fe001ffffffe0p-61, -0x1.1fff39ff00000p+13, -0x1.7801c03fbc000p-42},1262{-0x1.1fff81ff00000p+13, -0x1.e007ffff00000p-44, -0x1.1ffffffff8000p-5, -0x1.fe001ffffffe0p-61, -0x1.1fffc9ff00000p+13, 0x1.0ffb808078000p-43},1263{0x1.0000000000000p+15, 0x1.fffc03fe00700p-46, 0x1.0000000000001p+24, -0x1.fff8060000f34p-31, 0x1.0080000000001p+24, -0x1.fff40607f8f74p-31},1264{0x1.0000000000000p+15, 0x1.fffc03fe00700p-46, -0x1.0000000000001p+24, 0x1.fff8060000f34p-31, -0x1.ff00000000002p+23, 0x1.fffc05f808ef4p-31},1265{-0x1.0000000000000p+15, -0x1.fffc03fe00700p-46, 0x1.0000000000001p+24, -0x1.fff8060000f34p-31, 0x1.ff00000000002p+23, -0x1.fffc05f808ef4p-31},1266{-0x1.0000000000000p+15, -0x1.fffc03fe00700p-46, -0x1.0000000000001p+24, 0x1.fff8060000f34p-31, -0x1.0080000000001p+24, 0x1.fff40607f8f74p-31},1267{0x1.001ffffc00080p+19, -0x1.fe00000200000p-42, 0x1.0000000001000p-24, -0x1.fe3ffffff0080p-84, 0x1.001ffffc00280p+19, -0x1.fdfffc0200800p-42},1268{0x1.001ffffc00080p+19, -0x1.fe00000200000p-42, -0x1.0000000001000p-24, 0x1.fe3ffffff0080p-84, 0x1.001ffffbffe80p+19, -0x1.fe000401ff800p-42},1269{-0x1.001ffffc00080p+19, 0x1.fe00000200000p-42, 0x1.0000000001000p-24, -0x1.fe3ffffff0080p-84, -0x1.001ffffbffe80p+19, 0x1.fe000401ff800p-42},1270{-0x1.001ffffc00080p+19, 0x1.fe00000200000p-42, -0x1.0000000001000p-24, 0x1.fe3ffffff0080p-84, -0x1.001ffffc00280p+19, 0x1.fdfffc0200800p-42},1271{0x1.00001fffff800p+37, 0x1.ffffff801ffc0p-22, 0x1.0000000002000p+12, -0x1.0000000000000p-93, 0x1.0000207fff800p+37, 0x1.03ffffc00ffe0p-21},1272{0x1.00001fffff800p+37, 0x1.ffffff801ffc0p-22, -0x1.0000000002000p+12, 0x1.0000000000000p-93, 0x1.00001f7fff800p+37, 0x1.f7ffff801ffc0p-22},1273{-0x1.00001fffff800p+37, -0x1.ffffff801ffc0p-22, 0x1.0000000002000p+12, -0x1.0000000000000p-93, -0x1.00001f7fff800p+37, -0x1.f7ffff801ffc0p-22},1274{-0x1.00001fffff800p+37, -0x1.ffffff801ffc0p-22, -0x1.0000000002000p+12, 0x1.0000000000000p-93, -0x1.0000207fff800p+37, -0x1.03ffffc00ffe0p-21},1275{0x1.0000000000000p-40, 0x1.ffff83ffbfff0p-96, 0x1.0000000000000p-34, 0x1.ffffffffe0000p-90, 0x1.0400000000000p-34, 0x1.03ffff07ef800p-89},1276{0x1.0000000000000p-40, 0x1.ffff83ffbfff0p-96, -0x1.0000000000000p-34, -0x1.ffffffffe0000p-90, -0x1.f800000000000p-35, -0x1.f80001efe1000p-90},1277{-0x1.0000000000000p-40, -0x1.ffff83ffbfff0p-96, 0x1.0000000000000p-34, 0x1.ffffffffe0000p-90, 0x1.f800000000000p-35, 0x1.f80001efe1000p-90},1278{-0x1.0000000000000p-40, -0x1.ffff83ffbfff0p-96, -0x1.0000000000000p-34, -0x1.ffffffffe0000p-90, -0x1.0400000000000p-34, -0x1.03ffff07ef800p-89},1279{0x1.0000000000000p+39, 0x1.fffe7ff3dff00p-22, 0x1.000007f830000p+13, 0x1.fff0000ffe100p-48, 0x1.0000004000020p+39, -0x1.e4000bfc61208p-17},1280{0x1.0000000000000p+39, 0x1.fffe7ff3dff00p-22, -0x1.000007f830000p+13, -0x1.fff0000ffe100p-48, 0x1.ffffff7ffffc0p+38, 0x1.01fff9fdcf8fcp-16},1281{-0x1.0000000000000p+39, -0x1.fffe7ff3dff00p-22, 0x1.000007f830000p+13, 0x1.fff0000ffe100p-48, -0x1.ffffff7ffffc0p+38, -0x1.01fff9fdcf8fcp-16},1282{-0x1.0000000000000p+39, -0x1.fffe7ff3dff00p-22, -0x1.000007f830000p+13, -0x1.fff0000ffe100p-48, -0x1.0000004000020p+39, 0x1.e4000bfc61208p-17},1283{0x1.00000ffffe000p+18, 0x1.fffffffffc000p-49, 0x1.0000000000002p-46, -0x1.fffffe01f8004p-101, 0x1.00000ffffe000p+18, 0x1.3fffffffff800p-46},1284{0x1.00000ffffe000p+18, 0x1.fffffffffc000p-49, -0x1.0000000000002p-46, 0x1.fffffe01f8004p-101, 0x1.00000ffffe000p+18, -0x1.8000000001000p-47},1285{-0x1.00000ffffe000p+18, -0x1.fffffffffc000p-49, 0x1.0000000000002p-46, -0x1.fffffe01f8004p-101, -0x1.00000ffffe000p+18, 0x1.8000000001000p-47},1286{-0x1.00000ffffe000p+18, -0x1.fffffffffc000p-49, -0x1.0000000000002p-46, 0x1.fffffe01f8004p-101, -0x1.00000ffffe000p+18, -0x1.3fffffffff800p-46},1287{0x1.0000000000060p+41, 0x1.fffe3fff00000p-22, 0x1.0000000002000p+4, -0x1.ffe0002000000p-53, 0x1.0000000008060p+41, 0x1.00031ffd80200p-21},1288{0x1.0000000000060p+41, 0x1.fffe3fff00000p-22, -0x1.0000000002000p+4, 0x1.ffe0002000000p-53, 0x1.fffffffff00c0p+40, 0x1.fff64002ffc00p-22},1289{-0x1.0000000000060p+41, -0x1.fffe3fff00000p-22, 0x1.0000000002000p+4, -0x1.ffe0002000000p-53, -0x1.fffffffff00c0p+40, -0x1.fff64002ffc00p-22},1290{-0x1.0000000000060p+41, -0x1.fffe3fff00000p-22, -0x1.0000000002000p+4, 0x1.ffe0002000000p-53, -0x1.0000000008060p+41, -0x1.00031ffd80200p-21},1291{0x1.0003ffffffff8p-50, 0x1.ffffe07e00000p-124, 0x1.07ff000008000p+19, -0x1.e000020000000p-42, 0x1.07ff000008000p+19, -0x1.defffe0000000p-42},1292{0x1.0003ffffffff8p-50, 0x1.ffffe07e00000p-124, -0x1.07ff000008000p+19, 0x1.e000020000000p-42, -0x1.07ff000008000p+19, 0x1.e100060000000p-42},1293{-0x1.0003ffffffff8p-50, -0x1.ffffe07e00000p-124, 0x1.07ff000008000p+19, -0x1.e000020000000p-42, 0x1.07ff000008000p+19, -0x1.e100060000000p-42},1294{-0x1.0003ffffffff8p-50, -0x1.ffffe07e00000p-124, -0x1.07ff000008000p+19, 0x1.e000020000000p-42, -0x1.07ff000008000p+19, 0x1.defffe0000000p-42},1295// Some test cases drawn only from the [0.5,1] binade:1296{0x1.0000000000002p-1, -0x1.ffc0ffff90000p-65, 0x1.0003ffffffffcp-1, 0x1.ffffc00000000p-88, 0x1.0001fffffffffp+0, -0x1.ffc0fbff90000p-65},1297{0x1.0000000000002p-1, -0x1.ffc0ffff90000p-65, -0x1.0003ffffffffcp-1, -0x1.ffffc00000000p-88, -0x1.ffffffffd0010p-16, 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-0x1.0000000002000p-1, 0x1.ffe0002000000p-58, -0x1.0000000001030p+0, 0x1.f7e0072004000p-58},1804{0x1.0003ffffffff8p-1, 0x1.ffffe07e00000p-75, 0x1.07ff000008000p-1, -0x1.e000020000000p-62, 0x1.0401800003ffcp+0, -0x1.dff00200fc000p-62},1805{0x1.0003ffffffff8p-1, 0x1.ffffe07e00000p-75, -0x1.07ff000008000p-1, 0x1.e000020000000p-62, -0x1.fec0000200200p-7, 0x1.e01001ff03f00p-62},1806{-0x1.0003ffffffff8p-1, -0x1.ffffe07e00000p-75, 0x1.07ff000008000p-1, -0x1.e000020000000p-62, 0x1.fec0000200200p-7, -0x1.e01001ff03f00p-62},1807{-0x1.0003ffffffff8p-1, -0x1.ffffe07e00000p-75, -0x1.07ff000008000p-1, 0x1.e000020000000p-62, -0x1.0401800003ffcp+0, 0x1.dff00200fc000p-62},1808};1809 1810const int numAccuracyTests = sizeof(accuracyTests) / sizeof(struct testVector);1811 1812#include <math.h>1813 1814double testAccuracy() {1815 int i;1816 DD a, b, c, r;1817 1818 double worstUlps = 0.5;1819 1820 for (i=0; i<numAccuracyTests; ++i) {1821 a.hi = accuracyTests[i].xhi;1822 a.lo = accuracyTests[i].xlo;1823 b.hi = accuracyTests[i].yhi;1824 b.lo = accuracyTests[i].ylo;1825 r.hi = accuracyTests[i].rhi;1826 r.lo = accuracyTests[i].rlo;1827 1828 DD c = { .ld = __gcc_qadd(a.ld, b.ld) };1829 1830 double error = __builtin_fabs(((r.hi - c.hi) + r.lo) - c.lo);1831 1832 if (error != 0.0) {1833 1834 int exponent = ilogb(r.hi);1835 exponent = (exponent < -1022 ? -1022 : exponent);1836 double ulpError = scalbn(error, 106 - exponent);1837 1838 if (ulpError > worstUlps) {1839#ifdef PRINT_ACCURACY_INFORMATION1840 printf("New worst rounding error for (%a,%a) + (%a,%a):\n", a.hi, a.lo, b.hi, b.lo);1841 printf("\tExpected: (%a,%a)\n", r.hi, r.lo);1842 printf("\tComputed: (%a,%a)\n", c.hi, c.lo);1843 printf("\tError: %f ulps\n", ulpError);1844#endif1845 worstUlps = ulpError;1846 }1847 }1848 }1849 1850 return worstUlps;1851}1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876