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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_qsub(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		long double computed = __gcc_qsub(a.ld, b.ld);122 123		DD c = { .ld = computed };124 125		if (r.hi != r.hi) {126			if (c.hi == c.hi)127				error = 1;128			else if (c.lo != 0.0)129				error = 1;130			else131				error = 0;132		}133 134		else if (r.hi == 0.0)135			error = memcmp(&c, &r, sizeof(DD));136 137		else138			error = ((c.hi != r.hi) || (c.lo != r.lo));139 140		if (error) {141			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);142			return 1;143		}144	}145 146	return 0;147}148 149 150/*151 152 Code for generating the test cases, requires the mpfr package to run.153 154 #include <stdio.h>155 #include <stdlib.h>156 #include <mpfr.h>157 158 #ifdef __x86_64__159 #define randlength 2160 #else161 #define randlength 4162 #endif163 164 165 int main(int argc, char *argv[]) {166 167 MPFR_DECL_INIT(a, 106);168 MPFR_DECL_INIT(b, 106);169 MPFR_DECL_INIT(c, 106);170 171 MPFR_DECL_INIT(tmp, 53);172 173 int exponent_range = atoi(argv[1]);174 175 int i;176 for (i=0; i<128; ++i) {177 mpfr_random2(a, randlength, exponent_range);178 mpfr_random2(b, randlength, exponent_range);179 mpfr_add(c, a, b, GMP_RNDN);180 181 double ahi = mpfr_get_d(a, GMP_RNDN);182 mpfr_set_d(tmp, ahi, GMP_RNDN);183 mpfr_sub(tmp, a, tmp, GMP_RNDN);184 double alo = mpfr_get_d(tmp, GMP_RNDN);185 printf("{%0.13a, %0.13a, ", ahi, alo);186 187 double bhi = mpfr_get_d(b, GMP_RNDN);188 mpfr_set_d(tmp, bhi, GMP_RNDN);189 mpfr_sub(tmp, b, tmp, GMP_RNDN);190 double blo = mpfr_get_d(tmp, GMP_RNDN);191 printf("%0.13a, %0.13a, ", bhi, blo);192 193 double chi = mpfr_get_d(c, GMP_RNDN);194 mpfr_set_d(tmp, chi, GMP_RNDN);195 mpfr_sub(tmp, c, tmp, GMP_RNDN);196 double clo = mpfr_get_d(tmp, GMP_RNDN);197 printf("%0.13a, %0.13a},\n", chi, clo);198 199 mpfr_neg(b, b, GMP_RNDN);200 mpfr_add(c, a, b, GMP_RNDN);201 202 ahi = mpfr_get_d(a, GMP_RNDN);203 mpfr_set_d(tmp, ahi, GMP_RNDN);204 mpfr_sub(tmp, a, tmp, GMP_RNDN);205 alo = mpfr_get_d(tmp, GMP_RNDN);206 printf("{%0.13a, %0.13a, ", ahi, alo);207 208 bhi = mpfr_get_d(b, GMP_RNDN);209 mpfr_set_d(tmp, bhi, GMP_RNDN);210 mpfr_sub(tmp, b, tmp, GMP_RNDN);211 blo = mpfr_get_d(tmp, GMP_RNDN);212 printf("%0.13a, %0.13a, ", bhi, blo);213 214 chi = mpfr_get_d(c, GMP_RNDN);215 mpfr_set_d(tmp, chi, GMP_RNDN);216 mpfr_sub(tmp, c, tmp, GMP_RNDN);217 clo = mpfr_get_d(tmp, GMP_RNDN);218 printf("%0.13a, %0.13a},\n", chi, clo);219 220 mpfr_neg(a, a, GMP_RNDN);221 mpfr_neg(b, b, GMP_RNDN);222 mpfr_add(c, a, b, GMP_RNDN);223 224 ahi = mpfr_get_d(a, GMP_RNDN);225 mpfr_set_d(tmp, ahi, GMP_RNDN);226 mpfr_sub(tmp, a, tmp, GMP_RNDN);227 alo = mpfr_get_d(tmp, GMP_RNDN);228 printf("{%0.13a, %0.13a, ", ahi, alo);229 230 bhi = mpfr_get_d(b, GMP_RNDN);231 mpfr_set_d(tmp, bhi, GMP_RNDN);232 mpfr_sub(tmp, b, tmp, GMP_RNDN);233 blo = mpfr_get_d(tmp, GMP_RNDN);234 printf("%0.13a, %0.13a, ", bhi, blo);235 236 chi = mpfr_get_d(c, GMP_RNDN);237 mpfr_set_d(tmp, chi, GMP_RNDN);238 mpfr_sub(tmp, c, tmp, GMP_RNDN);239 clo = mpfr_get_d(tmp, GMP_RNDN);240 printf("%0.13a, %0.13a},\n", chi, clo);241 242 mpfr_neg(b, b, GMP_RNDN);243 mpfr_add(c, a, b, GMP_RNDN);244 245 ahi = mpfr_get_d(a, GMP_RNDN);246 mpfr_set_d(tmp, ahi, GMP_RNDN);247 mpfr_sub(tmp, a, tmp, GMP_RNDN);248 alo = mpfr_get_d(tmp, GMP_RNDN);249 printf("{%0.13a, %0.13a, ", ahi, alo);250 251 bhi = mpfr_get_d(b, GMP_RNDN);252 mpfr_set_d(tmp, bhi, GMP_RNDN);253 mpfr_sub(tmp, b, tmp, GMP_RNDN);254 blo = mpfr_get_d(tmp, GMP_RNDN);255 printf("%0.13a, %0.13a, ", bhi, blo);256 257 chi = mpfr_get_d(c, GMP_RNDN);258 mpfr_set_d(tmp, chi, GMP_RNDN);259 mpfr_sub(tmp, c, tmp, GMP_RNDN);260 clo = mpfr_get_d(tmp, GMP_RNDN);261 printf("%0.13a, %0.13a},\n", chi, clo);262 }263 264 return 0;265 }266 267 268 */269 270const struct testVector accuracyTests[] = {271// Some test cases that cover the whole exponent range: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{-0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302, 0x1.0003ffffffffcp+140, 0x1.ffffc00000000p+53, -0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302},275{-0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302, -0x1.0003ffffffffcp+140, -0x1.ffffc00000000p+53, -0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302},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{-0x1.0000100000000p-746, 0x1.0000000000000p-808, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692},279{-0x1.0000100000000p-746, 0x1.0000000000000p-808, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692},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{-0x1.0000000800000p+426, 0x1.0000000000000p+354, 0x1.000003fffc002p-730, -0x1.0000000000000p-835, -0x1.0000000800000p+426, 0x1.0000000000000p+354},283{-0x1.0000000800000p+426, 0x1.0000000000000p+354, -0x1.000003fffc002p-730, 0x1.0000000000000p-835, -0x1.0000000800000p+426, 0x1.0000000000000p+354},284{0x1.0000000000000p-262, 0x1.ffc001ffffe00p-317, 0x1.000003fff8000p-258, 0x1.fffc000fc0000p-329, 0x1.100003fff8000p-258, 0x1.ffe001c000dc0p-317},285{0x1.0000000000000p-262, 0x1.ffc001ffffe00p-317, -0x1.000003fff8000p-258, -0x1.fffc000fc0000p-329, -0x1.e00007fff0000p-259, 0x1.ffa0023ffee40p-317},286{-0x1.0000000000000p-262, -0x1.ffc001ffffe00p-317, 0x1.000003fff8000p-258, 0x1.fffc000fc0000p-329, 0x1.e00007fff0000p-259, -0x1.ffa0023ffee40p-317},287{-0x1.0000000000000p-262, -0x1.ffc001ffffe00p-317, -0x1.000003fff8000p-258, -0x1.fffc000fc0000p-329, -0x1.100003fff8000p-258, -0x1.ffe001c000dc0p-317},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{-0x1.0000000000003p+980, -0x1.fc00001fff800p+916, 0x1.0000000000020p+626, -0x1.fc01ffe002000p+562, -0x1.0000000000003p+980, -0x1.fc00001fff800p+916},291{-0x1.0000000000003p+980, -0x1.fc00001fff800p+916, -0x1.0000000000020p+626, 0x1.fc01ffe002000p+562, -0x1.0000000000003p+980, -0x1.fc00001fff800p+916},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-800, -0x1.fffff00001ffep-854, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410},295{-0x1.0000000000000p-800, -0x1.fffff00001ffep-854, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410},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{-0x1.0000000000000p+925, -0x1.ffffffffffc00p+862, 0x1.0000200000000p-454, -0x1.ffc0000080000p-526, -0x1.0000000000000p+925, -0x1.ffffffffffc00p+862},299{-0x1.0000000000000p+925, -0x1.ffffffffffc00p+862, -0x1.0000200000000p-454, 0x1.ffc0000080000p-526, -0x1.0000000000000p+925, -0x1.ffffffffffc00p+862},300{0x1.0000000000800p+265, -0x1.fffc000000010p+208, 0x1.0000000000008p-204, -0x1.ffe03fffff010p-261, 0x1.0000000000800p+265, 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-0x1.fffe7ff3dfb00p-935},771{-0x1.0000000000000p-874, -0x1.fffe7ff3dff00p-935, -0x1.000007f830000p-977, -0x1.fff0001000000p-1038, -0x1.0000000000000p-874, -0x1.fffe7ff3e0300p-935},772{0x1.00000ffffe000p-269, 0x1.fffffffffc000p-336, 0x1.0000000000002p+226, -0x1.fffffe01f8004p+171, 0x1.0000000000002p+226, -0x1.fffffe01f8004p+171},773{0x1.00000ffffe000p-269, 0x1.fffffffffc000p-336, -0x1.0000000000002p+226, 0x1.fffffe01f8004p+171, -0x1.0000000000002p+226, 0x1.fffffe01f8004p+171},774{-0x1.00000ffffe000p-269, -0x1.fffffffffc000p-336, 0x1.0000000000002p+226, -0x1.fffffe01f8004p+171, 0x1.0000000000002p+226, -0x1.fffffe01f8004p+171},775{-0x1.00000ffffe000p-269, -0x1.fffffffffc000p-336, -0x1.0000000000002p+226, 0x1.fffffe01f8004p+171, -0x1.0000000000002p+226, 0x1.fffffe01f8004p+171},776{0x1.0000000000060p+403, 0x1.fffe3fff00000p+340, 0x1.0000000002000p+783, -0x1.ffe0002000000p+726, 0x1.0000000002000p+783, -0x1.ffe0002000000p+726},777{0x1.0000000000060p+403, 0x1.fffe3fff00000p+340, -0x1.0000000002000p+783, 0x1.ffe0002000000p+726, -0x1.0000000002000p+783, 0x1.ffe0002000000p+726},778{-0x1.0000000000060p+403, -0x1.fffe3fff00000p+340, 0x1.0000000002000p+783, -0x1.ffe0002000000p+726, 0x1.0000000002000p+783, -0x1.ffe0002000000p+726},779{-0x1.0000000000060p+403, -0x1.fffe3fff00000p+340, -0x1.0000000002000p+783, 0x1.ffe0002000000p+726, -0x1.0000000002000p+783, 0x1.ffe0002000000p+726},780{0x1.0003ffffffff8p-273, 0x1.ffffe07e00000p-347, 0x1.07ff000008000p-591, -0x1.e000020000000p-652, 0x1.0003ffffffff8p-273, 0x1.ffffe07e00000p-347},781{0x1.0003ffffffff8p-273, 0x1.ffffe07e00000p-347, -0x1.07ff000008000p-591, 0x1.e000020000000p-652, 0x1.0003ffffffff8p-273, 0x1.ffffe07e00000p-347},782{-0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347, 0x1.07ff000008000p-591, -0x1.e000020000000p-652, -0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347},783{-0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347, -0x1.07ff000008000p-591, 0x1.e000020000000p-652, -0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347},784// Some test cases where a and b are guaranteed to overlap:785{0x1.0000000000002p-39, -0x1.ffc0ffff90000p-103, 0x1.0003ffffffffcp-35, 0x1.ffffc00000000p-122, 0x1.1003ffffffffcp-35, 0x1.ffe003f400068p-91},786{0x1.0000000000002p-39, -0x1.ffc0ffff90000p-103, -0x1.0003ffffffffcp-35, -0x1.ffffc00000000p-122, -0x1.e007ffffffff8p-36, 0x1.ffe003ec00078p-91},787{-0x1.0000000000002p-39, 0x1.ffc0ffff90000p-103, 0x1.0003ffffffffcp-35, 0x1.ffffc00000000p-122, 0x1.e007ffffffff8p-36, -0x1.ffe003ec00078p-91},788{-0x1.0000000000002p-39, 0x1.ffc0ffff90000p-103, -0x1.0003ffffffffcp-35, -0x1.ffffc00000000p-122, -0x1.1003ffffffffcp-35, -0x1.ffe003f400068p-91},789{0x1.0000100000000p+23, -0x1.0000000000000p-39, 0x1.0000000004000p-41, -0x1.ffffe00fc0200p-97, 0x1.0000100000000p+23, -0x1.7ffffffffe000p-40},790{0x1.0000100000000p+23, -0x1.0000000000000p-39, -0x1.0000000004000p-41, 0x1.ffffe00fc0200p-97, 0x1.0000100000000p+23, -0x1.4000000001000p-39},791{-0x1.0000100000000p+23, 0x1.0000000000000p-39, 0x1.0000000004000p-41, -0x1.ffffe00fc0200p-97, -0x1.0000100000000p+23, 0x1.4000000001000p-39},792{-0x1.0000100000000p+23, 0x1.0000000000000p-39, -0x1.0000000004000p-41, 0x1.ffffe00fc0200p-97, -0x1.0000100000000p+23, 0x1.7ffffffffe000p-40},793{0x1.0000000800000p-42, -0x1.0000000000000p-114, 0x1.000003fffc002p-41, -0x1.0000000000000p-146, 0x1.80000403fc002p-41, -0x1.0000000100000p-114},794{0x1.0000000800000p-42, -0x1.0000000000000p-114, -0x1.000003fffc002p-41, 0x1.0000000000000p-146, -0x1.000007f7f8004p-42, -0x1.fffffffe00000p-115},795{-0x1.0000000800000p-42, 0x1.0000000000000p-114, 0x1.000003fffc002p-41, -0x1.0000000000000p-146, 0x1.000007f7f8004p-42, 0x1.fffffffe00000p-115},796{-0x1.0000000800000p-42, 0x1.0000000000000p-114, -0x1.000003fffc002p-41, 0x1.0000000000000p-146, -0x1.80000403fc002p-41, 0x1.0000000100000p-114},797{0x1.0000000000000p+46, 0x1.ffc001ffffe00p-9, 0x1.000003fff8000p-19, 0x1.fffc000fc0000p-90, 0x1.0000000000000p+46, 0x1.000001007fef0p-8},798{0x1.0000000000000p+46, 0x1.ffc001ffffe00p-9, -0x1.000003fff8000p-19, -0x1.fffc000fc0000p-90, 0x1.0000000000000p+46, 0x1.ff8001feffe20p-9},799{-0x1.0000000000000p+46, -0x1.ffc001ffffe00p-9, 0x1.000003fff8000p-19, 0x1.fffc000fc0000p-90, -0x1.0000000000000p+46, -0x1.ff8001feffe20p-9},800{-0x1.0000000000000p+46, -0x1.ffc001ffffe00p-9, -0x1.000003fff8000p-19, -0x1.fffc000fc0000p-90, -0x1.0000000000000p+46, -0x1.000001007fef0p-8},801{0x1.0000000000003p+33, 0x1.fc00001fff800p-31, 0x1.0000000000020p+40, -0x1.fc01ffe002000p-24, 0x1.0200000000020p+40, 0x1.781fd80080f80p-18},802{0x1.0000000000003p+33, 0x1.fc00001fff800p-31, -0x1.0000000000020p+40, 0x1.fc01ffe002000p-24, -0x1.fc00000000040p+39, 0x1.87ffe7ff81080p-18},803{-0x1.0000000000003p+33, -0x1.fc00001fff800p-31, 0x1.0000000000020p+40, -0x1.fc01ffe002000p-24, 0x1.fc00000000040p+39, -0x1.87ffe7ff81080p-18},804{-0x1.0000000000003p+33, -0x1.fc00001fff800p-31, -0x1.0000000000020p+40, 0x1.fc01ffe002000p-24, -0x1.0200000000020p+40, -0x1.781fd80080f80p-18},805{0x1.0000000000000p-42, 0x1.fffff00001ffep-96, 0x1.0000000000000p-9, 0x1.ff00000ffff80p-69, 0x1.0000000080000p-9, 0x1.ff00004ffff80p-69},806{0x1.0000000000000p-42, 0x1.fffff00001ffep-96, -0x1.0000000000000p-9, -0x1.ff00000ffff80p-69, -0x1.ffffffff00000p-10, -0x1.feffffcffff80p-69},807{-0x1.0000000000000p-42, -0x1.fffff00001ffep-96, 0x1.0000000000000p-9, 0x1.ff00000ffff80p-69, 0x1.ffffffff00000p-10, 0x1.feffffcffff80p-69},808{-0x1.0000000000000p-42, -0x1.fffff00001ffep-96, -0x1.0000000000000p-9, -0x1.ff00000ffff80p-69, -0x1.0000000080000p-9, -0x1.ff00004ffff80p-69},809{0x1.0000000000000p-46, 0x1.ffffffffffc00p-109, 0x1.0000200000000p+11, -0x1.ffc0000080000p-61, 0x1.0000200000000p+11, 0x1.fff800fffffe0p-47},810{0x1.0000000000000p-46, 0x1.ffffffffffc00p-109, -0x1.0000200000000p+11, 0x1.ffc0000080000p-61, -0x1.0000200000000p+11, 0x1.0003ff8000010p-46},811{-0x1.0000000000000p-46, -0x1.ffffffffffc00p-109, 0x1.0000200000000p+11, -0x1.ffc0000080000p-61, 0x1.0000200000000p+11, -0x1.0003ff8000010p-46},812{-0x1.0000000000000p-46, -0x1.ffffffffffc00p-109, -0x1.0000200000000p+11, 0x1.ffc0000080000p-61, -0x1.0000200000000p+11, -0x1.fff800fffffe0p-47},813{0x1.0000000000800p-4, -0x1.fffc000000010p-61, 0x1.0000000000008p-2, -0x1.ffe03fffff010p-59, 0x1.4000000000208p-2, -0x1.3fef9fffff808p-58},814{0x1.0000000000800p-4, -0x1.fffc000000010p-61, -0x1.0000000000008p-2, 0x1.ffe03fffff010p-59, -0x1.7fffffffffc10p-3, 0x1.7fe13fffff010p-59},815{-0x1.0000000000800p-4, 0x1.fffc000000010p-61, 0x1.0000000000008p-2, -0x1.ffe03fffff010p-59, 0x1.7fffffffffc10p-3, -0x1.7fe13fffff010p-59},816{-0x1.0000000000800p-4, 0x1.fffc000000010p-61, -0x1.0000000000008p-2, 0x1.ffe03fffff010p-59, -0x1.4000000000208p-2, 0x1.3fef9fffff808p-58},817{0x1.0000000000000p-39, 0x1.fffef0ffff000p-102, 0x1.0000100000000p-7, -0x1.fff8000000800p-71, 0x1.0000100100000p-7, -0x1.fff7fffc00800p-71},818{0x1.0000000000000p-39, 0x1.fffef0ffff000p-102, -0x1.0000100000000p-7, 0x1.fff8000000800p-71, -0x1.00000fff00000p-7, 0x1.fff8000400800p-71},819{-0x1.0000000000000p-39, -0x1.fffef0ffff000p-102, 0x1.0000100000000p-7, -0x1.fff8000000800p-71, 0x1.00000fff00000p-7, -0x1.fff8000400800p-71},820{-0x1.0000000000000p-39, -0x1.fffef0ffff000p-102, -0x1.0000100000000p-7, 0x1.fff8000000800p-71, -0x1.0000100100000p-7, 0x1.fff7fffc00800p-71},821{0x1.07c00007ffff0p-15, 0x1.fffc00f800000p-91, 0x1.0000007ffffe0p-11, 0x1.f000000000000p-82, 0x1.107c00807ffdfp-11, 0x1.f0fffe0080000p-82},822{0x1.07c00007ffff0p-15, 0x1.fffc00f800000p-91, -0x1.0000007ffffe0p-11, -0x1.f000000000000p-82, -0x1.df0800fefffc2p-12, -0x1.ef0001ff80000p-82},823{-0x1.07c00007ffff0p-15, -0x1.fffc00f800000p-91, 0x1.0000007ffffe0p-11, 0x1.f000000000000p-82, 0x1.df0800fefffc2p-12, 0x1.ef0001ff80000p-82},824{-0x1.07c00007ffff0p-15, -0x1.fffc00f800000p-91, -0x1.0000007ffffe0p-11, -0x1.f000000000000p-82, -0x1.107c00807ffdfp-11, -0x1.f0fffe0080000p-82},825{0x1.0000000000000p+37, 0x1.ff800fffff800p-19, 0x1.0000000000000p-32, 0x1.fffc0000ffff8p-88, 0x1.0000000000000p+37, 0x1.ff880fffff800p-19},826{0x1.0000000000000p+37, 0x1.ff800fffff800p-19, -0x1.0000000000000p-32, -0x1.fffc0000ffff8p-88, 0x1.0000000000000p+37, 0x1.ff780fffff800p-19},827{-0x1.0000000000000p+37, -0x1.ff800fffff800p-19, 0x1.0000000000000p-32, 0x1.fffc0000ffff8p-88, -0x1.0000000000000p+37, -0x1.ff780fffff800p-19},828{-0x1.0000000000000p+37, -0x1.ff800fffff800p-19, -0x1.0000000000000p-32, -0x1.fffc0000ffff8p-88, -0x1.0000000000000p+37, -0x1.ff880fffff800p-19},829{0x1.0000000008000p+44, -0x1.ffff807ffe002p-10, 0x1.0000000800000p-6, -0x1.ffffff8000008p-62, 0x1.0000000008004p+44, -0x1.ffff7ffffe004p-10},830{0x1.0000000008000p+44, -0x1.ffff807ffe002p-10, -0x1.0000000800000p-6, 0x1.ffffff8000008p-62, 0x1.0000000007ffcp+44, -0x1.ffff80fffe000p-10},831{-0x1.0000000008000p+44, 0x1.ffff807ffe002p-10, 0x1.0000000800000p-6, -0x1.ffffff8000008p-62, -0x1.0000000007ffcp+44, 0x1.ffff80fffe000p-10},832{-0x1.0000000008000p+44, 0x1.ffff807ffe002p-10, -0x1.0000000800000p-6, 0x1.ffffff8000008p-62, -0x1.0000000008004p+44, 0x1.ffff7ffffe004p-10},833{0x1.0000000000020p-53, -0x1.0000000000000p-136, 0x1.0000000000000p+33, 0x1.fffff000003c0p-26, 0x1.0000000000000p+33, 0x1.fffff020003c0p-26},834{0x1.0000000000020p-53, -0x1.0000000000000p-136, -0x1.0000000000000p+33, -0x1.fffff000003c0p-26, -0x1.0000000000000p+33, -0x1.ffffefe0003c0p-26},835{-0x1.0000000000020p-53, 0x1.0000000000000p-136, 0x1.0000000000000p+33, 0x1.fffff000003c0p-26, 0x1.0000000000000p+33, 0x1.ffffefe0003c0p-26},836{-0x1.0000000000020p-53, 0x1.0000000000000p-136, -0x1.0000000000000p+33, -0x1.fffff000003c0p-26, -0x1.0000000000000p+33, -0x1.fffff020003c0p-26},837{0x1.0000001ffff80p-7, 0x1.fffffdfffff8ep-61, 0x1.0000000200000p-27, -0x1.0000000000000p-96, 0x1.0000101ffff82p-7, 0x1.fffffdffdff8ep-61},838{0x1.0000001ffff80p-7, 0x1.fffffdfffff8ep-61, -0x1.0000000200000p-27, 0x1.0000000000000p-96, 0x1.ffffe03fffefdp-8, -0x1.ffe0072000000p-85},839{-0x1.0000001ffff80p-7, -0x1.fffffdfffff8ep-61, 0x1.0000000200000p-27, -0x1.0000000000000p-96, -0x1.ffffe03fffefdp-8, 0x1.ffe0072000000p-85},840{-0x1.0000001ffff80p-7, -0x1.fffffdfffff8ep-61, -0x1.0000000200000p-27, 0x1.0000000000000p-96, -0x1.0000101ffff82p-7, -0x1.fffffdffdff8ep-61},841{0x1.01ffffff80400p-38, -0x1.c7ffffc000100p-96, 0x1.0000000000000p-47, 0x1.8fff01fffff00p-107, 0x1.027fffff80400p-38, -0x1.c7cdffdfc0100p-96},842{0x1.01ffffff80400p-38, -0x1.c7ffffc000100p-96, -0x1.0000000000000p-47, -0x1.8fff01fffff00p-107, 0x1.017fffff80400p-38, -0x1.c831ffa040100p-96},843{-0x1.01ffffff80400p-38, 0x1.c7ffffc000100p-96, 0x1.0000000000000p-47, 0x1.8fff01fffff00p-107, -0x1.017fffff80400p-38, 0x1.c831ffa040100p-96},844{-0x1.01ffffff80400p-38, 0x1.c7ffffc000100p-96, -0x1.0000000000000p-47, -0x1.8fff01fffff00p-107, -0x1.027fffff80400p-38, 0x1.c7cdffdfc0100p-96},845{0x1.0000000000008p-27, -0x1.ffffc00800000p-100, 0x1.00003ffe00002p+16, -0x1.ffffffc180080p-44, 0x1.00003ffe00202p+16, -0x1.ffffffc080080p-44},846{0x1.0000000000008p-27, -0x1.ffffc00800000p-100, -0x1.00003ffe00002p+16, 0x1.ffffffc180080p-44, -0x1.00003ffdffe02p+16, 0x1.ffffffc280080p-44},847{-0x1.0000000000008p-27, 0x1.ffffc00800000p-100, 0x1.00003ffe00002p+16, -0x1.ffffffc180080p-44, 0x1.00003ffdffe02p+16, -0x1.ffffffc280080p-44},848{-0x1.0000000000008p-27, 0x1.ffffc00800000p-100, -0x1.00003ffe00002p+16, 0x1.ffffffc180080p-44, -0x1.00003ffe00202p+16, 0x1.ffffffc080080p-44},849{0x1.000000ffffff8p+16, 0x1.ffffffc000000p-41, 0x1.0000000000000p+8, 0x1.ffffffe000000p-50, 0x1.010000ffffff8p+16, 0x1.007fffdff8000p-40},850{0x1.000000ffffff8p+16, 0x1.ffffffc000000p-41, -0x1.0000000000000p+8, -0x1.ffffffe000000p-50, 0x1.fe0001ffffff0p+15, 0x1.feffffc010000p-41},851{-0x1.000000ffffff8p+16, -0x1.ffffffc000000p-41, 0x1.0000000000000p+8, 0x1.ffffffe000000p-50, -0x1.fe0001ffffff0p+15, -0x1.feffffc010000p-41},852{-0x1.000000ffffff8p+16, -0x1.ffffffc000000p-41, 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0x1.0000000000000p-59, -0x1.000000000fe00p+44, -0x1.ffff7e0003ff8p-12, -0x1.0008ffffcfe00p+44, -0x1.0fffbf0001fecp-11},1233{0x1.3fc0000040000p-13, -0x1.fffffff802000p-69, 0x1.fffffffffff00p+30, 0x0.0000000000000p+0, 0x1.00000000000c0p+31, -0x1.fffffe0000100p-24},1234{0x1.3fc0000040000p-13, -0x1.fffffff802000p-69, -0x1.fffffffffff00p+30, 0x0.0000000000000p+0, -0x1.ffffffffffc80p+30, -0x1.fffffe0000100p-24},1235{-0x1.3fc0000040000p-13, 0x1.fffffff802000p-69, 0x1.fffffffffff00p+30, 0x0.0000000000000p+0, 0x1.ffffffffffc80p+30, 0x1.fffffe0000100p-24},1236{-0x1.3fc0000040000p-13, 0x1.fffffff802000p-69, -0x1.fffffffffff00p+30, 0x0.0000000000000p+0, -0x1.00000000000c0p+31, 0x1.fffffe0000100p-24},1237{0x1.00000001fffffp-1, 0x1.00001f8000000p-72, 0x1.0000000000200p-15, -0x1.0000000000000p-120, 0x1.00040001fffffp-1, 0x1.000400007e000p-58},1238{0x1.00000001fffffp-1, 0x1.00001f8000000p-72, -0x1.0000000000200p-15, 0x1.0000000000000p-120, 0x1.fff80003ffffep-2, -0x1.fff7ffff04000p-59},1239{-0x1.00000001fffffp-1, -0x1.00001f8000000p-72, 0x1.0000000000200p-15, -0x1.0000000000000p-120, -0x1.fff80003ffffep-2, 0x1.fff7ffff04000p-59},1240{-0x1.00000001fffffp-1, -0x1.00001f8000000p-72, -0x1.0000000000200p-15, 0x1.0000000000000p-120, -0x1.00040001fffffp-1, -0x1.000400007e000p-58},1241{0x1.0000000010000p+26, -0x1.0000000000000p-51, 0x1.1fff010000000p-53, 0x1.ff8c0000007fep-107, 0x1.0000000010000p+26, -0x1.70007f8000000p-52},1242{0x1.0000000010000p+26, -0x1.0000000000000p-51, -0x1.1fff010000000p-53, -0x1.ff8c0000007fep-107, 0x1.0000000010000p+26, -0x1.47ffc04000000p-51},1243{-0x1.0000000010000p+26, 0x1.0000000000000p-51, 0x1.1fff010000000p-53, 0x1.ff8c0000007fep-107, -0x1.0000000010000p+26, 0x1.47ffc04000000p-51},1244{-0x1.0000000010000p+26, 0x1.0000000000000p-51, -0x1.1fff010000000p-53, -0x1.ff8c0000007fep-107, -0x1.0000000010000p+26, 0x1.70007f8000000p-52},1245{0x1.0000000000002p-44, -0x1.0000000000000p-131, 0x1.0000000000200p+33, -0x1.0000000000000p-52, 0x1.0000000000200p+33, 0x1.fe00000000000p-45},1246{0x1.0000000000002p-44, -0x1.0000000000000p-131, -0x1.0000000000200p+33, 0x1.0000000000000p-52, -0x1.0000000000200p+33, 0x1.0100000000000p-44},1247{-0x1.0000000000002p-44, 0x1.0000000000000p-131, 0x1.0000000000200p+33, -0x1.0000000000000p-52, 0x1.0000000000200p+33, -0x1.0100000000000p-44},1248{-0x1.0000000000002p-44, 0x1.0000000000000p-131, -0x1.0000000000200p+33, 0x1.0000000000000p-52, -0x1.0000000000200p+33, -0x1.fe00000000000p-45},1249{0x1.0000000000002p+32, -0x1.ffff800008000p-35, 0x1.000000003fffep-25, 0x1.f81fc007c0000p-96, 0x1.0000000000002p+32, 0x1.ff0000407ffc0p-26},1250{0x1.0000000000002p+32, -0x1.ffff800008000p-35, -0x1.000000003fffep-25, -0x1.f81fc007c0000p-96, 0x1.0000000000002p+32, -0x1.007fffe040020p-25},1251{-0x1.0000000000002p+32, 0x1.ffff800008000p-35, 0x1.000000003fffep-25, 0x1.f81fc007c0000p-96, -0x1.0000000000002p+32, 0x1.007fffe040020p-25},1252{-0x1.0000000000002p+32, 0x1.ffff800008000p-35, -0x1.000000003fffep-25, -0x1.f81fc007c0000p-96, -0x1.0000000000002p+32, -0x1.ff0000407ffc0p-26},1253{0x1.7ffffffff0000p+18, 0x1.ffff07fffc000p-46, 0x1.000000000ffe0p-32, 0x1.ff0000003c000p-95, 0x1.7ffffffff0004p+18, 0x1.ffff0bff7c000p-46},1254{0x1.7ffffffff0000p+18, 0x1.ffff07fffc000p-46, -0x1.000000000ffe0p-32, -0x1.ff0000003c000p-95, 0x1.7fffffffefffcp+18, 0x1.ffff04007c000p-46},1255{-0x1.7ffffffff0000p+18, -0x1.ffff07fffc000p-46, 0x1.000000000ffe0p-32, 0x1.ff0000003c000p-95, -0x1.7fffffffefffcp+18, -0x1.ffff04007c000p-46},1256{-0x1.7ffffffff0000p+18, -0x1.ffff07fffc000p-46, -0x1.000000000ffe0p-32, -0x1.ff0000003c000p-95, -0x1.7ffffffff0004p+18, -0x1.ffff0bff7c000p-46},1257{0x1.00007fff00080p-52, -0x1.ffffff0001000p-117, 0x1.00000000007c0p+41, 0x1.ffffff8000000p-26, 0x1.00000000007c0p+41, 0x1.ffffffc000000p-26},1258{0x1.00007fff00080p-52, -0x1.ffffff0001000p-117, -0x1.00000000007c0p+41, -0x1.ffffff8000000p-26, -0x1.00000000007c0p+41, -0x1.ffffff4000000p-26},1259{-0x1.00007fff00080p-52, 0x1.ffffff0001000p-117, 0x1.00000000007c0p+41, 0x1.ffffff8000000p-26, 0x1.00000000007c0p+41, 0x1.ffffff4000000p-26},1260{-0x1.00007fff00080p-52, 0x1.ffffff0001000p-117, -0x1.00000000007c0p+41, -0x1.ffffff8000000p-26, -0x1.00000000007c0p+41, -0x1.ffffffc000000p-26},1261{0x1.1fff81ff00000p+13, 0x1.e007ffff00000p-44, 0x1.1ffffffff8000p-5, 0x1.fe001ffffffe0p-61, 0x1.1fffc9ff00000p+13, -0x1.0ffb808078000p-43},1262{0x1.1fff81ff00000p+13, 0x1.e007ffff00000p-44, -0x1.1ffffffff8000p-5, -0x1.fe001ffffffe0p-61, 0x1.1fff39ff00000p+13, 0x1.7801c03fbc000p-42},1263{-0x1.1fff81ff00000p+13, -0x1.e007ffff00000p-44, 0x1.1ffffffff8000p-5, 0x1.fe001ffffffe0p-61, -0x1.1fff39ff00000p+13, -0x1.7801c03fbc000p-42},1264{-0x1.1fff81ff00000p+13, -0x1.e007ffff00000p-44, -0x1.1ffffffff8000p-5, -0x1.fe001ffffffe0p-61, -0x1.1fffc9ff00000p+13, 0x1.0ffb808078000p-43},1265{0x1.0000000000000p+15, 0x1.fffc03fe00700p-46, 0x1.0000000000001p+24, -0x1.fff8060000f34p-31, 0x1.0080000000001p+24, -0x1.fff40607f8f74p-31},1266{0x1.0000000000000p+15, 0x1.fffc03fe00700p-46, -0x1.0000000000001p+24, 0x1.fff8060000f34p-31, -0x1.ff00000000002p+23, 0x1.fffc05f808ef4p-31},1267{-0x1.0000000000000p+15, -0x1.fffc03fe00700p-46, 0x1.0000000000001p+24, -0x1.fff8060000f34p-31, 0x1.ff00000000002p+23, -0x1.fffc05f808ef4p-31},1268{-0x1.0000000000000p+15, -0x1.fffc03fe00700p-46, -0x1.0000000000001p+24, 0x1.fff8060000f34p-31, -0x1.0080000000001p+24, 0x1.fff40607f8f74p-31},1269{0x1.001ffffc00080p+19, -0x1.fe00000200000p-42, 0x1.0000000001000p-24, -0x1.fe3ffffff0080p-84, 0x1.001ffffc00280p+19, -0x1.fdfffc0200800p-42},1270{0x1.001ffffc00080p+19, -0x1.fe00000200000p-42, -0x1.0000000001000p-24, 0x1.fe3ffffff0080p-84, 0x1.001ffffbffe80p+19, -0x1.fe000401ff800p-42},1271{-0x1.001ffffc00080p+19, 0x1.fe00000200000p-42, 0x1.0000000001000p-24, -0x1.fe3ffffff0080p-84, -0x1.001ffffbffe80p+19, 0x1.fe000401ff800p-42},1272{-0x1.001ffffc00080p+19, 0x1.fe00000200000p-42, -0x1.0000000001000p-24, 0x1.fe3ffffff0080p-84, -0x1.001ffffc00280p+19, 0x1.fdfffc0200800p-42},1273{0x1.00001fffff800p+37, 0x1.ffffff801ffc0p-22, 0x1.0000000002000p+12, -0x1.0000000000000p-93, 0x1.0000207fff800p+37, 0x1.03ffffc00ffe0p-21},1274{0x1.00001fffff800p+37, 0x1.ffffff801ffc0p-22, -0x1.0000000002000p+12, 0x1.0000000000000p-93, 0x1.00001f7fff800p+37, 0x1.f7ffff801ffc0p-22},1275{-0x1.00001fffff800p+37, -0x1.ffffff801ffc0p-22, 0x1.0000000002000p+12, -0x1.0000000000000p-93, -0x1.00001f7fff800p+37, -0x1.f7ffff801ffc0p-22},1276{-0x1.00001fffff800p+37, -0x1.ffffff801ffc0p-22, -0x1.0000000002000p+12, 0x1.0000000000000p-93, -0x1.0000207fff800p+37, -0x1.03ffffc00ffe0p-21},1277{0x1.0000000000000p-40, 0x1.ffff83ffbfff0p-96, 0x1.0000000000000p-34, 0x1.ffffffffe0000p-90, 0x1.0400000000000p-34, 0x1.03ffff07ef800p-89},1278{0x1.0000000000000p-40, 0x1.ffff83ffbfff0p-96, -0x1.0000000000000p-34, -0x1.ffffffffe0000p-90, -0x1.f800000000000p-35, -0x1.f80001efe1000p-90},1279{-0x1.0000000000000p-40, -0x1.ffff83ffbfff0p-96, 0x1.0000000000000p-34, 0x1.ffffffffe0000p-90, 0x1.f800000000000p-35, 0x1.f80001efe1000p-90},1280{-0x1.0000000000000p-40, -0x1.ffff83ffbfff0p-96, -0x1.0000000000000p-34, -0x1.ffffffffe0000p-90, -0x1.0400000000000p-34, -0x1.03ffff07ef800p-89},1281{0x1.0000000000000p+39, 0x1.fffe7ff3dff00p-22, 0x1.000007f830000p+13, 0x1.fff0000ffe100p-48, 0x1.0000004000020p+39, -0x1.e4000bfc61208p-17},1282{0x1.0000000000000p+39, 0x1.fffe7ff3dff00p-22, -0x1.000007f830000p+13, -0x1.fff0000ffe100p-48, 0x1.ffffff7ffffc0p+38, 0x1.01fff9fdcf8fcp-16},1283{-0x1.0000000000000p+39, -0x1.fffe7ff3dff00p-22, 0x1.000007f830000p+13, 0x1.fff0000ffe100p-48, -0x1.ffffff7ffffc0p+38, -0x1.01fff9fdcf8fcp-16},1284{-0x1.0000000000000p+39, -0x1.fffe7ff3dff00p-22, -0x1.000007f830000p+13, -0x1.fff0000ffe100p-48, -0x1.0000004000020p+39, 0x1.e4000bfc61208p-17},1285{0x1.00000ffffe000p+18, 0x1.fffffffffc000p-49, 0x1.0000000000002p-46, -0x1.fffffe01f8004p-101, 0x1.00000ffffe000p+18, 0x1.3fffffffff800p-46},1286{0x1.00000ffffe000p+18, 0x1.fffffffffc000p-49, -0x1.0000000000002p-46, 0x1.fffffe01f8004p-101, 0x1.00000ffffe000p+18, -0x1.8000000001000p-47},1287{-0x1.00000ffffe000p+18, -0x1.fffffffffc000p-49, 0x1.0000000000002p-46, -0x1.fffffe01f8004p-101, -0x1.00000ffffe000p+18, 0x1.8000000001000p-47},1288{-0x1.00000ffffe000p+18, -0x1.fffffffffc000p-49, -0x1.0000000000002p-46, 0x1.fffffe01f8004p-101, -0x1.00000ffffe000p+18, -0x1.3fffffffff800p-46},1289{0x1.0000000000060p+41, 0x1.fffe3fff00000p-22, 0x1.0000000002000p+4, -0x1.ffe0002000000p-53, 0x1.0000000008060p+41, 0x1.00031ffd80200p-21},1290{0x1.0000000000060p+41, 0x1.fffe3fff00000p-22, -0x1.0000000002000p+4, 0x1.ffe0002000000p-53, 0x1.fffffffff00c0p+40, 0x1.fff64002ffc00p-22},1291{-0x1.0000000000060p+41, -0x1.fffe3fff00000p-22, 0x1.0000000002000p+4, -0x1.ffe0002000000p-53, -0x1.fffffffff00c0p+40, -0x1.fff64002ffc00p-22},1292{-0x1.0000000000060p+41, -0x1.fffe3fff00000p-22, -0x1.0000000002000p+4, 0x1.ffe0002000000p-53, -0x1.0000000008060p+41, -0x1.00031ffd80200p-21},1293{0x1.0003ffffffff8p-50, 0x1.ffffe07e00000p-124, 0x1.07ff000008000p+19, -0x1.e000020000000p-42, 0x1.07ff000008000p+19, -0x1.defffe0000000p-42},1294{0x1.0003ffffffff8p-50, 0x1.ffffe07e00000p-124, -0x1.07ff000008000p+19, 0x1.e000020000000p-42, -0x1.07ff000008000p+19, 0x1.e100060000000p-42},1295{-0x1.0003ffffffff8p-50, -0x1.ffffe07e00000p-124, 0x1.07ff000008000p+19, -0x1.e000020000000p-42, 0x1.07ff000008000p+19, -0x1.e100060000000p-42},1296{-0x1.0003ffffffff8p-50, -0x1.ffffe07e00000p-124, -0x1.07ff000008000p+19, 0x1.e000020000000p-42, -0x1.07ff000008000p+19, 0x1.defffe0000000p-42},1297// Some test cases drawn only from the [0.5,1] binade:1298{0x1.0000000000002p-1, -0x1.ffc0ffff90000p-65, 0x1.0003ffffffffcp-1, 0x1.ffffc00000000p-88, 0x1.0001fffffffffp+0, -0x1.ffc0fbff90000p-65},1299{0x1.0000000000002p-1, -0x1.ffc0ffff90000p-65, -0x1.0003ffffffffcp-1, -0x1.ffffc00000000p-88, -0x1.ffffffffd0010p-16, 0x1.f7e0038400000p-76},1300{-0x1.0000000000002p-1, 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0x1.ffffe07e00000p-75, 0x1.07ff000008000p-1, -0x1.e000020000000p-62, 0x1.0401800003ffcp+0, -0x1.dff00200fc000p-62},1807{0x1.0003ffffffff8p-1, 0x1.ffffe07e00000p-75, -0x1.07ff000008000p-1, 0x1.e000020000000p-62, -0x1.fec0000200200p-7, 0x1.e01001ff03f00p-62},1808{-0x1.0003ffffffff8p-1, -0x1.ffffe07e00000p-75, 0x1.07ff000008000p-1, -0x1.e000020000000p-62, 0x1.fec0000200200p-7, -0x1.e01001ff03f00p-62},1809{-0x1.0003ffffffff8p-1, -0x1.ffffe07e00000p-75, -0x1.07ff000008000p-1, 0x1.e000020000000p-62, -0x1.0401800003ffcp+0, 0x1.dff00200fc000p-62},1810};1811 1812const int numAccuracyTests = sizeof(accuracyTests) / sizeof(struct testVector);1813 1814#include <math.h>1815 1816double testAccuracy() {1817	int i;1818	DD a, b, c, r;1819 1820	double worstUlps = 0.5;1821 1822	for (i=0; i<numAccuracyTests; ++i) {1823		a.hi = accuracyTests[i].xhi;1824		a.lo = accuracyTests[i].xlo;1825		b.hi = -accuracyTests[i].yhi;1826		b.lo = -accuracyTests[i].ylo;1827		r.hi = accuracyTests[i].rhi;1828		r.lo = accuracyTests[i].rlo;1829 1830		DD c = { .ld = __gcc_qsub(a.ld, b.ld) };1831 1832		double error = __builtin_fabs(((r.hi - c.hi) + r.lo) - c.lo);1833 1834		if (error != 0.0) {1835 1836			int exponent = ilogb(r.hi);1837			exponent = (exponent < -1022 ? -1022 : exponent);1838			double ulpError = scalbn(error, 106 - exponent);1839 1840			if (ulpError > worstUlps) {1841#ifdef PRINT_ACCURACY_INFORMATION1842				printf("New worst rounding error for (%a,%a) + (%a,%a):\n", a.hi, a.lo, b.hi, b.lo);1843				printf("\tExpected: (%a,%a)\n", r.hi, r.lo);1844				printf("\tComputed: (%a,%a)\n", c.hi, c.lo);1845				printf("\tError: %f ulps\n", ulpError);1846#endif1847				worstUlps = ulpError;1848			}1849		}1850	}1851 1852	return worstUlps;1853}1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878