#include <stdio.h>
#include "DD.h"
long double __gcc_qsub(long double x, long double y);
double testAccuracy();
int testEdgeCases();
int main(int argc, char *argv[]) {
if (testEdgeCases())
return 1;
if (testAccuracy() > 1.0)
return 1;
return 0;
}
struct testVector {
double xhi; double xlo;
double yhi; double ylo;
double rhi; double rlo;
};
#define INFINITY __builtin_inf()
#define HUGE 0x1.fffffffffffffp1023
#define QNAN __builtin_nan("")
const struct testVector edgeCases[] = {
{ 0.0, 0.0, -0.0, 0.0, 0.0, 0.0 },
{ -0.0, 0.0, -0.0, 0.0, 0.0, 0.0 },
{ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 },
{ -0.0, 0.0, 0.0, 0.0, -0.0, 0.0 },
{ INFINITY, 0.0, -0.0, 0.0, INFINITY, 0.0 },
{ -INFINITY, 0.0, -0.0, 0.0, -INFINITY, 0.0 },
{ INFINITY, 0.0, 0.0, 0.0, INFINITY, 0.0 },
{ -INFINITY, 0.0, 0.0, 0.0, -INFINITY, 0.0 },
{ INFINITY, 0.0, -1.0, 0.0, INFINITY, 0.0 },
{ -INFINITY, 0.0, -1.0, 0.0, -INFINITY, 0.0 },
{ INFINITY, 0.0, 1.0, 0.0, INFINITY, 0.0 },
{ -INFINITY, 0.0, 1.0, 0.0, -INFINITY, 0.0 },
{ INFINITY, 0.0, -HUGE, 0.0, INFINITY, 0.0 },
{ -INFINITY, 0.0, -HUGE, 0.0, -INFINITY, 0.0 },
{ INFINITY, 0.0, HUGE, 0.0, INFINITY, 0.0 },
{ -INFINITY, 0.0, HUGE, 0.0, -INFINITY, 0.0 },
{ INFINITY, 0.0, -INFINITY, 0.0, INFINITY, 0.0 },
{ -INFINITY, 0.0, -INFINITY, 0.0, QNAN, 0.0 },
{ INFINITY, 0.0, INFINITY, 0.0, QNAN, 0.0 },
{ -INFINITY, 0.0, INFINITY, 0.0, -INFINITY, 0.0 },
{ 0.0, 0.0, -INFINITY, 0.0, INFINITY, 0.0 },
{ 0.0, 0.0, INFINITY, 0.0, -INFINITY, 0.0 },
{ -0.0, 0.0, -INFINITY, 0.0, INFINITY, 0.0 },
{ -0.0, 0.0, INFINITY, 0.0, -INFINITY, 0.0 },
{ 1.0, 0.0, -INFINITY, 0.0, INFINITY, 0.0 },
{ 1.0, 0.0, INFINITY, 0.0, -INFINITY, 0.0 },
{ -1.0, 0.0, -INFINITY, 0.0, INFINITY, 0.0 },
{ -1.0, 0.0, INFINITY, 0.0, -INFINITY, 0.0 },
{ HUGE, 0.0, -INFINITY, 0.0, INFINITY, 0.0 },
{ HUGE, 0.0, INFINITY, 0.0, -INFINITY, 0.0 },
{ -HUGE, 0.0, -INFINITY, 0.0, INFINITY, 0.0 },
{ -HUGE, 0.0, INFINITY, 0.0, -INFINITY, 0.0 },
{ QNAN, 0.0, -0.0, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, -0.0, 0.0, QNAN, 0.0 },
{ QNAN, 0.0, 0.0, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, 0.0, 0.0, QNAN, 0.0 },
{ QNAN, 0.0, -1.0, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, -1.0, 0.0, QNAN, 0.0 },
{ QNAN, 0.0, 1.0, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, 1.0, 0.0, QNAN, 0.0 },
{ QNAN, 0.0, -HUGE, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, -HUGE, 0.0, QNAN, 0.0 },
{ QNAN, 0.0, HUGE, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, HUGE, 0.0, QNAN, 0.0 },
{ QNAN, 0.0, -INFINITY, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, -INFINITY, 0.0, QNAN, 0.0 },
{ QNAN, 0.0, INFINITY, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, INFINITY, 0.0, QNAN, 0.0 },
{ QNAN, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ QNAN, 0.0, QNAN, 0.0, QNAN, 0.0 },
{ -QNAN, 0.0, QNAN, 0.0, QNAN, 0.0 },
{ 0.0, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ 0.0, 0.0, QNAN, 0.0, QNAN, 0.0 },
{ -0.0, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ -0.0, 0.0, QNAN, 0.0, QNAN, 0.0 },
{ 1.0, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ 1.0, 0.0, QNAN, 0.0, QNAN, 0.0 },
{ -1.0, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ -1.0, 0.0, QNAN, 0.0, QNAN, 0.0 },
{ HUGE, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ HUGE, 0.0, QNAN, 0.0, QNAN, 0.0 },
{ -HUGE, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ -HUGE, 0.0, QNAN, 0.0, QNAN, 0.0 },
{ INFINITY, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ INFINITY, 0.0, QNAN, 0.0, QNAN, 0.0 },
{ -INFINITY, 0.0, -QNAN, 0.0, QNAN, 0.0 },
{ -INFINITY, 0.0, QNAN, 0.0, QNAN, 0.0 },
};
const int numEdgeCases = sizeof(edgeCases) / sizeof(struct testVector);
int testEdgeCases() {
int i;
DD a, b, c, r;
for (i=0; i<numEdgeCases; ++i) {
a.hi = edgeCases[i].xhi;
a.lo = edgeCases[i].xlo;
b.hi = edgeCases[i].yhi;
b.lo = edgeCases[i].ylo;
r.hi = edgeCases[i].rhi;
r.lo = edgeCases[i].rlo;
int error;
long double computed = __gcc_qsub(a.ld, b.ld);
DD c = { .ld = computed };
if (r.hi != r.hi) {
if (c.hi == c.hi)
error = 1;
else if (c.lo != 0.0)
error = 1;
else
error = 0;
}
else if (r.hi == 0.0)
error = memcmp(&c, &r, sizeof(DD));
else
error = ((c.hi != r.hi) || (c.lo != r.lo));
if (error) {
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);
return 1;
}
}
return 0;
}
/*
Code for generating the test cases, requires the mpfr package to run.
#include <stdio.h>
#include <stdlib.h>
#include <mpfr.h>
#ifdef __x86_64__
#define randlength 2
#else
#define randlength 4
#endif
int main(int argc, char *argv[]) {
MPFR_DECL_INIT(a, 106);
MPFR_DECL_INIT(b, 106);
MPFR_DECL_INIT(c, 106);
MPFR_DECL_INIT(tmp, 53);
int exponent_range = atoi(argv[1]);
int i;
for (i=0; i<128; ++i) {
mpfr_random2(a, randlength, exponent_range);
mpfr_random2(b, randlength, exponent_range);
mpfr_add(c, a, b, GMP_RNDN);
double ahi = mpfr_get_d(a, GMP_RNDN);
mpfr_set_d(tmp, ahi, GMP_RNDN);
mpfr_sub(tmp, a, tmp, GMP_RNDN);
double alo = mpfr_get_d(tmp, GMP_RNDN);
printf("{%0.13a, %0.13a, ", ahi, alo);
double bhi = mpfr_get_d(b, GMP_RNDN);
mpfr_set_d(tmp, bhi, GMP_RNDN);
mpfr_sub(tmp, b, tmp, GMP_RNDN);
double blo = mpfr_get_d(tmp, GMP_RNDN);
printf("%0.13a, %0.13a, ", bhi, blo);
double chi = mpfr_get_d(c, GMP_RNDN);
mpfr_set_d(tmp, chi, GMP_RNDN);
mpfr_sub(tmp, c, tmp, GMP_RNDN);
double clo = mpfr_get_d(tmp, GMP_RNDN);
printf("%0.13a, %0.13a},\n", chi, clo);
mpfr_neg(b, b, GMP_RNDN);
mpfr_add(c, a, b, GMP_RNDN);
ahi = mpfr_get_d(a, GMP_RNDN);
mpfr_set_d(tmp, ahi, GMP_RNDN);
mpfr_sub(tmp, a, tmp, GMP_RNDN);
alo = mpfr_get_d(tmp, GMP_RNDN);
printf("{%0.13a, %0.13a, ", ahi, alo);
bhi = mpfr_get_d(b, GMP_RNDN);
mpfr_set_d(tmp, bhi, GMP_RNDN);
mpfr_sub(tmp, b, tmp, GMP_RNDN);
blo = mpfr_get_d(tmp, GMP_RNDN);
printf("%0.13a, %0.13a, ", bhi, blo);
chi = mpfr_get_d(c, GMP_RNDN);
mpfr_set_d(tmp, chi, GMP_RNDN);
mpfr_sub(tmp, c, tmp, GMP_RNDN);
clo = mpfr_get_d(tmp, GMP_RNDN);
printf("%0.13a, %0.13a},\n", chi, clo);
mpfr_neg(a, a, GMP_RNDN);
mpfr_neg(b, b, GMP_RNDN);
mpfr_add(c, a, b, GMP_RNDN);
ahi = mpfr_get_d(a, GMP_RNDN);
mpfr_set_d(tmp, ahi, GMP_RNDN);
mpfr_sub(tmp, a, tmp, GMP_RNDN);
alo = mpfr_get_d(tmp, GMP_RNDN);
printf("{%0.13a, %0.13a, ", ahi, alo);
bhi = mpfr_get_d(b, GMP_RNDN);
mpfr_set_d(tmp, bhi, GMP_RNDN);
mpfr_sub(tmp, b, tmp, GMP_RNDN);
blo = mpfr_get_d(tmp, GMP_RNDN);
printf("%0.13a, %0.13a, ", bhi, blo);
chi = mpfr_get_d(c, GMP_RNDN);
mpfr_set_d(tmp, chi, GMP_RNDN);
mpfr_sub(tmp, c, tmp, GMP_RNDN);
clo = mpfr_get_d(tmp, GMP_RNDN);
printf("%0.13a, %0.13a},\n", chi, clo);
mpfr_neg(b, b, GMP_RNDN);
mpfr_add(c, a, b, GMP_RNDN);
ahi = mpfr_get_d(a, GMP_RNDN);
mpfr_set_d(tmp, ahi, GMP_RNDN);
mpfr_sub(tmp, a, tmp, GMP_RNDN);
alo = mpfr_get_d(tmp, GMP_RNDN);
printf("{%0.13a, %0.13a, ", ahi, alo);
bhi = mpfr_get_d(b, GMP_RNDN);
mpfr_set_d(tmp, bhi, GMP_RNDN);
mpfr_sub(tmp, b, tmp, GMP_RNDN);
blo = mpfr_get_d(tmp, GMP_RNDN);
printf("%0.13a, %0.13a, ", bhi, blo);
chi = mpfr_get_d(c, GMP_RNDN);
mpfr_set_d(tmp, chi, GMP_RNDN);
mpfr_sub(tmp, c, tmp, GMP_RNDN);
clo = mpfr_get_d(tmp, GMP_RNDN);
printf("%0.13a, %0.13a},\n", chi, clo);
}
return 0;
}
*/
const struct testVector accuracyTests[] = {
// Some test cases that cover the whole exponent range:
{0x1.0000000000002p+366, -0x1.ffc0ffff90000p+302, 0x1.0003ffffffffcp+140, 0x1.ffffc00000000p+53, 0x1.0000000000002p+366, -0x1.ffc0ffff90000p+302},
{0x1.0000000000002p+366, -0x1.ffc0ffff90000p+302, -0x1.0003ffffffffcp+140, -0x1.ffffc00000000p+53, 0x1.0000000000002p+366, -0x1.ffc0ffff90000p+302},
{-0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302, 0x1.0003ffffffffcp+140, 0x1.ffffc00000000p+53, -0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302},
{-0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302, -0x1.0003ffffffffcp+140, -0x1.ffffc00000000p+53, -0x1.0000000000002p+366, 0x1.ffc0ffff90000p+302},
{0x1.0000100000000p-746, -0x1.0000000000000p-808, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692},
{0x1.0000100000000p-746, -0x1.0000000000000p-808, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692},
{-0x1.0000100000000p-746, 0x1.0000000000000p-808, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692, 0x1.0000000004000p-636, -0x1.ffffe00fc0200p-692},
{-0x1.0000100000000p-746, 0x1.0000000000000p-808, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692, -0x1.0000000004000p-636, 0x1.ffffe00fc0200p-692},
{0x1.0000000800000p+426, -0x1.0000000000000p+354, 0x1.000003fffc002p-730, -0x1.0000000000000p-835, 0x1.0000000800000p+426, -0x1.0000000000000p+354},
{0x1.0000000800000p+426, -0x1.0000000000000p+354, -0x1.000003fffc002p-730, 0x1.0000000000000p-835, 0x1.0000000800000p+426, -0x1.0000000000000p+354},
{-0x1.0000000800000p+426, 0x1.0000000000000p+354, 0x1.000003fffc002p-730, -0x1.0000000000000p-835, -0x1.0000000800000p+426, 0x1.0000000000000p+354},
{-0x1.0000000800000p+426, 0x1.0000000000000p+354, -0x1.000003fffc002p-730, 0x1.0000000000000p-835, -0x1.0000000800000p+426, 0x1.0000000000000p+354},
{0x1.0000000000000p-262, 0x1.ffc001ffffe00p-317, 0x1.000003fff8000p-258, 0x1.fffc000fc0000p-329, 0x1.100003fff8000p-258, 0x1.ffe001c000dc0p-317},
{0x1.0000000000000p-262, 0x1.ffc001ffffe00p-317, -0x1.000003fff8000p-258, -0x1.fffc000fc0000p-329, -0x1.e00007fff0000p-259, 0x1.ffa0023ffee40p-317},
{-0x1.0000000000000p-262, -0x1.ffc001ffffe00p-317, 0x1.000003fff8000p-258, 0x1.fffc000fc0000p-329, 0x1.e00007fff0000p-259, -0x1.ffa0023ffee40p-317},
{-0x1.0000000000000p-262, -0x1.ffc001ffffe00p-317, -0x1.000003fff8000p-258, -0x1.fffc000fc0000p-329, -0x1.100003fff8000p-258, -0x1.ffe001c000dc0p-317},
{0x1.0000000000003p+980, 0x1.fc00001fff800p+916, 0x1.0000000000020p+626, -0x1.fc01ffe002000p+562, 0x1.0000000000003p+980, 0x1.fc00001fff800p+916},
{0x1.0000000000003p+980, 0x1.fc00001fff800p+916, -0x1.0000000000020p+626, 0x1.fc01ffe002000p+562, 0x1.0000000000003p+980, 0x1.fc00001fff800p+916},
{-0x1.0000000000003p+980, -0x1.fc00001fff800p+916, 0x1.0000000000020p+626, -0x1.fc01ffe002000p+562, -0x1.0000000000003p+980, -0x1.fc00001fff800p+916},
{-0x1.0000000000003p+980, -0x1.fc00001fff800p+916, -0x1.0000000000020p+626, 0x1.fc01ffe002000p+562, -0x1.0000000000003p+980, -0x1.fc00001fff800p+916},
{0x1.0000000000000p-800, 0x1.fffff00001ffep-854, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410},
{0x1.0000000000000p-800, 0x1.fffff00001ffep-854, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410},
{-0x1.0000000000000p-800, -0x1.fffff00001ffep-854, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410, 0x1.0000000000000p+470, 0x1.ff00000ffff80p+410},
{-0x1.0000000000000p-800, -0x1.fffff00001ffep-854, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410, -0x1.0000000000000p+470, -0x1.ff00000ffff80p+410},
{0x1.0000000000000p+925, 0x1.ffffffffffc00p+862, 0x1.0000200000000p-454, -0x1.ffc0000080000p-526, 0x1.0000000000000p+925, 0x1.ffffffffffc00p+862},
{0x1.0000000000000p+925, 0x1.ffffffffffc00p+862, -0x1.0000200000000p-454, 0x1.ffc0000080000p-526, 0x1.0000000000000p+925, 0x1.ffffffffffc00p+862},
{-0x1.0000000000000p+925, -0x1.ffffffffffc00p+862, 0x1.0000200000000p-454, -0x1.ffc0000080000p-526, -0x1.0000000000000p+925, -0x1.ffffffffffc00p+862},
{-0x1.0000000000000p+925, -0x1.ffffffffffc00p+862, -0x1.0000200000000p-454, 0x1.ffc0000080000p-526, -0x1.0000000000000p+925, -0x1.ffffffffffc00p+862},
{0x1.0000000000800p+265, -0x1.fffc000000010p+208, 0x1.0000000000008p-204, -0x1.ffe03fffff010p-261, 0x1.0000000000800p+265, -0x1.fffc000000010p+208},
{0x1.0000000000800p+265, -0x1.fffc000000010p+208, -0x1.0000000000008p-204, 0x1.ffe03fffff010p-261, 0x1.0000000000800p+265, -0x1.fffc000000010p+208},
{-0x1.0000000000800p+265, 0x1.fffc000000010p+208, 0x1.0000000000008p-204, -0x1.ffe03fffff010p-261, -0x1.0000000000800p+265, 0x1.fffc000000010p+208},
{-0x1.0000000000800p+265, 0x1.fffc000000010p+208, -0x1.0000000000008p-204, 0x1.ffe03fffff010p-261, -0x1.0000000000800p+265, 0x1.fffc000000010p+208},
{0x1.0000000000000p-690, 0x1.fffef0ffff000p-753, 0x1.0000100000000p+763, -0x1.fff8000000800p+699, 0x1.0000100000000p+763, -0x1.fff8000000800p+699},
{0x1.0000000000000p-690, 0x1.fffef0ffff000p-753, -0x1.0000100000000p+763, 0x1.fff8000000800p+699, -0x1.0000100000000p+763, 0x1.fff8000000800p+699},
{-0x1.0000000000000p-690, -0x1.fffef0ffff000p-753, 0x1.0000100000000p+763, -0x1.fff8000000800p+699, 0x1.0000100000000p+763, -0x1.fff8000000800p+699},
{-0x1.0000000000000p-690, -0x1.fffef0ffff000p-753, -0x1.0000100000000p+763, 0x1.fff8000000800p+699, -0x1.0000100000000p+763, 0x1.fff8000000800p+699},
{0x1.07c00007ffff0p-506, 0x1.fffc00f800000p-582, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373},
{0x1.07c00007ffff0p-506, 0x1.fffc00f800000p-582, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373},
{-0x1.07c00007ffff0p-506, -0x1.fffc00f800000p-582, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373, 0x1.0000007ffffe0p-302, 0x1.f000000000000p-373},
{-0x1.07c00007ffff0p-506, -0x1.fffc00f800000p-582, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373, -0x1.0000007ffffe0p-302, -0x1.f000000000000p-373},
{0x1.0000000000000p-958, 0x1.ff800fffff800p-1014, 0x1.0000000000000p+373, 0x1.fffc0000ffff8p+317, 0x1.0000000000000p+373, 0x1.fffc0000ffff8p+317},
{0x1.0000000000000p-958, 0x1.ff800fffff800p-1014, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317},
{-0x1.0000000000000p-958, -0x1.ff800fffff800p-1014, 0x1.0000000000000p+373, 0x1.fffc0000ffff8p+317, 0x1.0000000000000p+373, 0x1.fffc0000ffff8p+317},
{-0x1.0000000000000p-958, -0x1.ff800fffff800p-1014, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317, -0x1.0000000000000p+373, -0x1.fffc0000ffff8p+317},
{0x1.0000000008000p+114, -0x1.ffff807ffe002p+60, 0x1.0000000800000p-783, -0x1.ffffff8000008p-839, 0x1.0000000008000p+114, -0x1.ffff807ffe002p+60},
{0x1.0000000008000p+114, -0x1.ffff807ffe002p+60, -0x1.0000000800000p-783, 0x1.ffffff8000008p-839, 0x1.0000000008000p+114, -0x1.ffff807ffe002p+60},
{-0x1.0000000008000p+114, 0x1.ffff807ffe002p+60, 0x1.0000000800000p-783, -0x1.ffffff8000008p-839, -0x1.0000000008000p+114, 0x1.ffff807ffe002p+60},
{-0x1.0000000008000p+114, 0x1.ffff807ffe002p+60, -0x1.0000000800000p-783, 0x1.ffffff8000008p-839, -0x1.0000000008000p+114, 0x1.ffff807ffe002p+60},
{0x1.0000000000020p+340, -0x1.0000000000000p+257, 0x1.0000000000000p-442, 0x1.fffff000003c0p-501, 0x1.0000000000020p+340, -0x1.0000000000000p+257},
{0x1.0000000000020p+340, -0x1.0000000000000p+257, -0x1.0000000000000p-442, -0x1.fffff000003c0p-501, 0x1.0000000000020p+340, -0x1.0000000000000p+257},
{-0x1.0000000000020p+340, 0x1.0000000000000p+257, 0x1.0000000000000p-442, 0x1.fffff000003c0p-501, -0x1.0000000000020p+340, 0x1.0000000000000p+257},
{-0x1.0000000000020p+340, 0x1.0000000000000p+257, -0x1.0000000000000p-442, -0x1.fffff000003c0p-501, -0x1.0000000000020p+340, 0x1.0000000000000p+257},
{0x1.0000001ffff80p+385, 0x1.fffffdfffff8ep+331, 0x1.0000000200000p+69, -0x1.0000000000000p+0, 0x1.0000001ffff80p+385, 0x1.fffffdfffff8ep+331},
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{-0x1.7ffffffff0000p-1014, -0x0.0000000000000p+0, -0x1.000000000ffe0p-894, -0x1.ff0000003c000p-957, -0x1.000000000ffe0p-894, -0x1.ff0000003c000p-957},
{0x1.00007fff00080p+981, -0x1.ffffff0001000p+916, 0x1.00000000007c0p-918, 0x1.ffffff8000000p-985, 0x1.00007fff00080p+981, -0x1.ffffff0001000p+916},
{0x1.00007fff00080p+981, -0x1.ffffff0001000p+916, -0x1.00000000007c0p-918, -0x1.ffffff8000000p-985, 0x1.00007fff00080p+981, -0x1.ffffff0001000p+916},
{-0x1.00007fff00080p+981, 0x1.ffffff0001000p+916, 0x1.00000000007c0p-918, 0x1.ffffff8000000p-985, -0x1.00007fff00080p+981, 0x1.ffffff0001000p+916},
{-0x1.00007fff00080p+981, 0x1.ffffff0001000p+916, -0x1.00000000007c0p-918, -0x1.ffffff8000000p-985, -0x1.00007fff00080p+981, 0x1.ffffff0001000p+916},
{0x1.1fff81ff00000p-768, 0x1.e007ffff00000p-825, 0x1.1ffffffff8000p-236, 0x1.fe001ffffffe0p-292, 0x1.1ffffffff8000p-236, 0x1.fe001ffffffe0p-292},
{0x1.1fff81ff00000p-768, 0x1.e007ffff00000p-825, -0x1.1ffffffff8000p-236, -0x1.fe001ffffffe0p-292, -0x1.1ffffffff8000p-236, -0x1.fe001ffffffe0p-292},
{-0x1.1fff81ff00000p-768, -0x1.e007ffff00000p-825, 0x1.1ffffffff8000p-236, 0x1.fe001ffffffe0p-292, 0x1.1ffffffff8000p-236, 0x1.fe001ffffffe0p-292},
{-0x1.1fff81ff00000p-768, -0x1.e007ffff00000p-825, -0x1.1ffffffff8000p-236, -0x1.fe001ffffffe0p-292, -0x1.1ffffffff8000p-236, -0x1.fe001ffffffe0p-292},
{0x1.0000000000000p-141, 0x1.fffc03fe00700p-202, 0x1.0000000000001p-845, -0x1.fff8060000f34p-900, 0x1.0000000000000p-141, 0x1.fffc03fe00700p-202},
{0x1.0000000000000p-141, 0x1.fffc03fe00700p-202, -0x1.0000000000001p-845, 0x1.fff8060000f34p-900, 0x1.0000000000000p-141, 0x1.fffc03fe00700p-202},
{-0x1.0000000000000p-141, -0x1.fffc03fe00700p-202, 0x1.0000000000001p-845, -0x1.fff8060000f34p-900, -0x1.0000000000000p-141, -0x1.fffc03fe00700p-202},
{-0x1.0000000000000p-141, -0x1.fffc03fe00700p-202, -0x1.0000000000001p-845, 0x1.fff8060000f34p-900, -0x1.0000000000000p-141, -0x1.fffc03fe00700p-202},
{0x1.001ffffc00080p+872, -0x1.fe00000200000p+811, 0x1.0000000001000p-359, -0x1.fe3ffffff0080p-419, 0x1.001ffffc00080p+872, -0x1.fe00000200000p+811},
{0x1.001ffffc00080p+872, -0x1.fe00000200000p+811, -0x1.0000000001000p-359, 0x1.fe3ffffff0080p-419, 0x1.001ffffc00080p+872, -0x1.fe00000200000p+811},
{-0x1.001ffffc00080p+872, 0x1.fe00000200000p+811, 0x1.0000000001000p-359, -0x1.fe3ffffff0080p-419, -0x1.001ffffc00080p+872, 0x1.fe00000200000p+811},
{-0x1.001ffffc00080p+872, 0x1.fe00000200000p+811, -0x1.0000000001000p-359, 0x1.fe3ffffff0080p-419, -0x1.001ffffc00080p+872, 0x1.fe00000200000p+811},
{0x1.00001fffff800p-894, 0x1.ffffff801ffc0p-953, 0x1.0000000002000p-720, -0x1.0000000000000p-825, 0x1.0000000002000p-720, -0x1.0000000000000p-825},
{0x1.00001fffff800p-894, 0x1.ffffff801ffc0p-953, -0x1.0000000002000p-720, 0x1.0000000000000p-825, -0x1.0000000002000p-720, 0x1.0000000000000p-825},
{-0x1.00001fffff800p-894, -0x1.ffffff801ffc0p-953, 0x1.0000000002000p-720, -0x1.0000000000000p-825, 0x1.0000000002000p-720, -0x1.0000000000000p-825},
{-0x1.00001fffff800p-894, -0x1.ffffff801ffc0p-953, -0x1.0000000002000p-720, 0x1.0000000000000p-825, -0x1.0000000002000p-720, 0x1.0000000000000p-825},
{0x1.0000000000000p-30, 0x1.ffff83ffbfff0p-86, 0x1.0000000000000p-240, 0x1.ffffffffe0000p-296, 0x1.0000000000000p-30, 0x1.ffff83ffbfff0p-86},
{0x1.0000000000000p-30, 0x1.ffff83ffbfff0p-86, -0x1.0000000000000p-240, -0x1.ffffffffe0000p-296, 0x1.0000000000000p-30, 0x1.ffff83ffbfff0p-86},
{-0x1.0000000000000p-30, -0x1.ffff83ffbfff0p-86, 0x1.0000000000000p-240, 0x1.ffffffffe0000p-296, -0x1.0000000000000p-30, -0x1.ffff83ffbfff0p-86},
{-0x1.0000000000000p-30, -0x1.ffff83ffbfff0p-86, -0x1.0000000000000p-240, -0x1.ffffffffe0000p-296, -0x1.0000000000000p-30, -0x1.ffff83ffbfff0p-86},
{0x1.0000000000000p-874, 0x1.fffe7ff3dff00p-935, 0x1.000007f830000p-977, 0x1.fff0001000000p-1038, 0x1.0000000000000p-874, 0x1.fffe7ff3e0300p-935},
{0x1.0000000000000p-874, 0x1.fffe7ff3dff00p-935, -0x1.000007f830000p-977, -0x1.fff0001000000p-1038, 0x1.0000000000000p-874, 0x1.fffe7ff3dfb00p-935},
{-0x1.0000000000000p-874, -0x1.fffe7ff3dff00p-935, 0x1.000007f830000p-977, 0x1.fff0001000000p-1038, -0x1.0000000000000p-874, -0x1.fffe7ff3dfb00p-935},
{-0x1.0000000000000p-874, -0x1.fffe7ff3dff00p-935, -0x1.000007f830000p-977, -0x1.fff0001000000p-1038, -0x1.0000000000000p-874, -0x1.fffe7ff3e0300p-935},
{0x1.00000ffffe000p-269, 0x1.fffffffffc000p-336, 0x1.0000000000002p+226, -0x1.fffffe01f8004p+171, 0x1.0000000000002p+226, -0x1.fffffe01f8004p+171},
{0x1.00000ffffe000p-269, 0x1.fffffffffc000p-336, -0x1.0000000000002p+226, 0x1.fffffe01f8004p+171, -0x1.0000000000002p+226, 0x1.fffffe01f8004p+171},
{-0x1.00000ffffe000p-269, -0x1.fffffffffc000p-336, 0x1.0000000000002p+226, -0x1.fffffe01f8004p+171, 0x1.0000000000002p+226, -0x1.fffffe01f8004p+171},
{-0x1.00000ffffe000p-269, -0x1.fffffffffc000p-336, -0x1.0000000000002p+226, 0x1.fffffe01f8004p+171, -0x1.0000000000002p+226, 0x1.fffffe01f8004p+171},
{0x1.0000000000060p+403, 0x1.fffe3fff00000p+340, 0x1.0000000002000p+783, -0x1.ffe0002000000p+726, 0x1.0000000002000p+783, -0x1.ffe0002000000p+726},
{0x1.0000000000060p+403, 0x1.fffe3fff00000p+340, -0x1.0000000002000p+783, 0x1.ffe0002000000p+726, -0x1.0000000002000p+783, 0x1.ffe0002000000p+726},
{-0x1.0000000000060p+403, -0x1.fffe3fff00000p+340, 0x1.0000000002000p+783, -0x1.ffe0002000000p+726, 0x1.0000000002000p+783, -0x1.ffe0002000000p+726},
{-0x1.0000000000060p+403, -0x1.fffe3fff00000p+340, -0x1.0000000002000p+783, 0x1.ffe0002000000p+726, -0x1.0000000002000p+783, 0x1.ffe0002000000p+726},
{0x1.0003ffffffff8p-273, 0x1.ffffe07e00000p-347, 0x1.07ff000008000p-591, -0x1.e000020000000p-652, 0x1.0003ffffffff8p-273, 0x1.ffffe07e00000p-347},
{0x1.0003ffffffff8p-273, 0x1.ffffe07e00000p-347, -0x1.07ff000008000p-591, 0x1.e000020000000p-652, 0x1.0003ffffffff8p-273, 0x1.ffffe07e00000p-347},
{-0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347, 0x1.07ff000008000p-591, -0x1.e000020000000p-652, -0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347},
{-0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347, -0x1.07ff000008000p-591, 0x1.e000020000000p-652, -0x1.0003ffffffff8p-273, -0x1.ffffe07e00000p-347},
// Some test cases where a and b are guaranteed to overlap:
{0x1.0000000000002p-39, -0x1.ffc0ffff90000p-103, 0x1.0003ffffffffcp-35, 0x1.ffffc00000000p-122, 0x1.1003ffffffffcp-35, 0x1.ffe003f400068p-91},
{0x1.0000000000002p-39, -0x1.ffc0ffff90000p-103, -0x1.0003ffffffffcp-35, -0x1.ffffc00000000p-122, -0x1.e007ffffffff8p-36, 0x1.ffe003ec00078p-91},
{-0x1.0000000000002p-39, 0x1.ffc0ffff90000p-103, 0x1.0003ffffffffcp-35, 0x1.ffffc00000000p-122, 0x1.e007ffffffff8p-36, -0x1.ffe003ec00078p-91},
{-0x1.0000000000002p-39, 0x1.ffc0ffff90000p-103, -0x1.0003ffffffffcp-35, -0x1.ffffc00000000p-122, -0x1.1003ffffffffcp-35, -0x1.ffe003f400068p-91},
{0x1.0000100000000p+23, -0x1.0000000000000p-39, 0x1.0000000004000p-41, -0x1.ffffe00fc0200p-97, 0x1.0000100000000p+23, -0x1.7ffffffffe000p-40},
{0x1.0000100000000p+23, -0x1.0000000000000p-39, -0x1.0000000004000p-41, 0x1.ffffe00fc0200p-97, 0x1.0000100000000p+23, -0x1.4000000001000p-39},
{-0x1.0000100000000p+23, 0x1.0000000000000p-39, 0x1.0000000004000p-41, -0x1.ffffe00fc0200p-97, -0x1.0000100000000p+23, 0x1.4000000001000p-39},
{-0x1.0000100000000p+23, 0x1.0000000000000p-39, -0x1.0000000004000p-41, 0x1.ffffe00fc0200p-97, -0x1.0000100000000p+23, 0x1.7ffffffffe000p-40},
{0x1.0000000800000p-42, -0x1.0000000000000p-114, 0x1.000003fffc002p-41, -0x1.0000000000000p-146, 0x1.80000403fc002p-41, -0x1.0000000100000p-114},
{0x1.0000000800000p-42, -0x1.0000000000000p-114, -0x1.000003fffc002p-41, 0x1.0000000000000p-146, -0x1.000007f7f8004p-42, -0x1.fffffffe00000p-115},
{-0x1.0000000800000p-42, 0x1.0000000000000p-114, 0x1.000003fffc002p-41, -0x1.0000000000000p-146, 0x1.000007f7f8004p-42, 0x1.fffffffe00000p-115},
{-0x1.0000000800000p-42, 0x1.0000000000000p-114, -0x1.000003fffc002p-41, 0x1.0000000000000p-146, -0x1.80000403fc002p-41, 0x1.0000000100000p-114},
{0x1.0000000000000p+46, 0x1.ffc001ffffe00p-9, 0x1.000003fff8000p-19, 0x1.fffc000fc0000p-90, 0x1.0000000000000p+46, 0x1.000001007fef0p-8},
{0x1.0000000000000p+46, 0x1.ffc001ffffe00p-9, -0x1.000003fff8000p-19, -0x1.fffc000fc0000p-90, 0x1.0000000000000p+46, 0x1.ff8001feffe20p-9},
{-0x1.0000000000000p+46, -0x1.ffc001ffffe00p-9, 0x1.000003fff8000p-19, 0x1.fffc000fc0000p-90, -0x1.0000000000000p+46, -0x1.ff8001feffe20p-9},
{-0x1.0000000000000p+46, -0x1.ffc001ffffe00p-9, -0x1.000003fff8000p-19, -0x1.fffc000fc0000p-90, -0x1.0000000000000p+46, -0x1.000001007fef0p-8},
{0x1.0000000000003p+33, 0x1.fc00001fff800p-31, 0x1.0000000000020p+40, -0x1.fc01ffe002000p-24, 0x1.0200000000020p+40, 0x1.781fd80080f80p-18},
{0x1.0000000000003p+33, 0x1.fc00001fff800p-31, -0x1.0000000000020p+40, 0x1.fc01ffe002000p-24, -0x1.fc00000000040p+39, 0x1.87ffe7ff81080p-18},
{-0x1.0000000000003p+33, -0x1.fc00001fff800p-31, 0x1.0000000000020p+40, -0x1.fc01ffe002000p-24, 0x1.fc00000000040p+39, -0x1.87ffe7ff81080p-18},
{-0x1.0000000000003p+33, -0x1.fc00001fff800p-31, -0x1.0000000000020p+40, 0x1.fc01ffe002000p-24, -0x1.0200000000020p+40, -0x1.781fd80080f80p-18},
{0x1.0000000000000p-42, 0x1.fffff00001ffep-96, 0x1.0000000000000p-9, 0x1.ff00000ffff80p-69, 0x1.0000000080000p-9, 0x1.ff00004ffff80p-69},
{0x1.0000000000000p-42, 0x1.fffff00001ffep-96, -0x1.0000000000000p-9, -0x1.ff00000ffff80p-69, -0x1.ffffffff00000p-10, -0x1.feffffcffff80p-69},
{-0x1.0000000000000p-42, -0x1.fffff00001ffep-96, 0x1.0000000000000p-9, 0x1.ff00000ffff80p-69, 0x1.ffffffff00000p-10, 0x1.feffffcffff80p-69},
{-0x1.0000000000000p-42, -0x1.fffff00001ffep-96, -0x1.0000000000000p-9, -0x1.ff00000ffff80p-69, -0x1.0000000080000p-9, -0x1.ff00004ffff80p-69},
{0x1.0000000000000p-46, 0x1.ffffffffffc00p-109, 0x1.0000200000000p+11, -0x1.ffc0000080000p-61, 0x1.0000200000000p+11, 0x1.fff800fffffe0p-47},
{0x1.0000000000000p-46, 0x1.ffffffffffc00p-109, -0x1.0000200000000p+11, 0x1.ffc0000080000p-61, -0x1.0000200000000p+11, 0x1.0003ff8000010p-46},
{-0x1.0000000000000p-46, -0x1.ffffffffffc00p-109, 0x1.0000200000000p+11, -0x1.ffc0000080000p-61, 0x1.0000200000000p+11, -0x1.0003ff8000010p-46},
{-0x1.0000000000000p-46, -0x1.ffffffffffc00p-109, -0x1.0000200000000p+11, 0x1.ffc0000080000p-61, -0x1.0000200000000p+11, -0x1.fff800fffffe0p-47},
{0x1.0000000000800p-4, -0x1.fffc000000010p-61, 0x1.0000000000008p-2, -0x1.ffe03fffff010p-59, 0x1.4000000000208p-2, -0x1.3fef9fffff808p-58},
{0x1.0000000000800p-4, -0x1.fffc000000010p-61, -0x1.0000000000008p-2, 0x1.ffe03fffff010p-59, -0x1.7fffffffffc10p-3, 0x1.7fe13fffff010p-59},
{-0x1.0000000000800p-4, 0x1.fffc000000010p-61, 0x1.0000000000008p-2, -0x1.ffe03fffff010p-59, 0x1.7fffffffffc10p-3, -0x1.7fe13fffff010p-59},
{-0x1.0000000000800p-4, 0x1.fffc000000010p-61, -0x1.0000000000008p-2, 0x1.ffe03fffff010p-59, -0x1.4000000000208p-2, 0x1.3fef9fffff808p-58},
{0x1.0000000000000p-39, 0x1.fffef0ffff000p-102, 0x1.0000100000000p-7, -0x1.fff8000000800p-71, 0x1.0000100100000p-7, -0x1.fff7fffc00800p-71},
{0x1.0000000000000p-39, 0x1.fffef0ffff000p-102, -0x1.0000100000000p-7, 0x1.fff8000000800p-71, -0x1.00000fff00000p-7, 0x1.fff8000400800p-71},
{-0x1.0000000000000p-39, -0x1.fffef0ffff000p-102, 0x1.0000100000000p-7, -0x1.fff8000000800p-71, 0x1.00000fff00000p-7, -0x1.fff8000400800p-71},
{-0x1.0000000000000p-39, -0x1.fffef0ffff000p-102, -0x1.0000100000000p-7, 0x1.fff8000000800p-71, -0x1.0000100100000p-7, 0x1.fff7fffc00800p-71},
{0x1.07c00007ffff0p-15, 0x1.fffc00f800000p-91, 0x1.0000007ffffe0p-11, 0x1.f000000000000p-82, 0x1.107c00807ffdfp-11, 0x1.f0fffe0080000p-82},
{0x1.07c00007ffff0p-15, 0x1.fffc00f800000p-91, -0x1.0000007ffffe0p-11, -0x1.f000000000000p-82, -0x1.df0800fefffc2p-12, -0x1.ef0001ff80000p-82},
{-0x1.07c00007ffff0p-15, -0x1.fffc00f800000p-91, 0x1.0000007ffffe0p-11, 0x1.f000000000000p-82, 0x1.df0800fefffc2p-12, 0x1.ef0001ff80000p-82},
{-0x1.07c00007ffff0p-15, -0x1.fffc00f800000p-91, -0x1.0000007ffffe0p-11, -0x1.f000000000000p-82, -0x1.107c00807ffdfp-11, -0x1.f0fffe0080000p-82},
{0x1.0000000000000p+37, 0x1.ff800fffff800p-19, 0x1.0000000000000p-32, 0x1.fffc0000ffff8p-88, 0x1.0000000000000p+37, 0x1.ff880fffff800p-19},
{0x1.0000000000000p+37, 0x1.ff800fffff800p-19, -0x1.0000000000000p-32, -0x1.fffc0000ffff8p-88, 0x1.0000000000000p+37, 0x1.ff780fffff800p-19},
{-0x1.0000000000000p+37, -0x1.ff800fffff800p-19, 0x1.0000000000000p-32, 0x1.fffc0000ffff8p-88, -0x1.0000000000000p+37, -0x1.ff780fffff800p-19},
{-0x1.0000000000000p+37, -0x1.ff800fffff800p-19, -0x1.0000000000000p-32, -0x1.fffc0000ffff8p-88, -0x1.0000000000000p+37, -0x1.ff880fffff800p-19},
{0x1.0000000008000p+44, -0x1.ffff807ffe002p-10, 0x1.0000000800000p-6, -0x1.ffffff8000008p-62, 0x1.0000000008004p+44, -0x1.ffff7ffffe004p-10},
{0x1.0000000008000p+44, -0x1.ffff807ffe002p-10, -0x1.0000000800000p-6, 0x1.ffffff8000008p-62, 0x1.0000000007ffcp+44, -0x1.ffff80fffe000p-10},
{-0x1.0000000008000p+44, 0x1.ffff807ffe002p-10, 0x1.0000000800000p-6, -0x1.ffffff8000008p-62, -0x1.0000000007ffcp+44, 0x1.ffff80fffe000p-10},
{-0x1.0000000008000p+44, 0x1.ffff807ffe002p-10, -0x1.0000000800000p-6, 0x1.ffffff8000008p-62, -0x1.0000000008004p+44, 0x1.ffff7ffffe004p-10},
{0x1.0000000000020p-53, -0x1.0000000000000p-136, 0x1.0000000000000p+33, 0x1.fffff000003c0p-26, 0x1.0000000000000p+33, 0x1.fffff020003c0p-26},
{0x1.0000000000020p-53, -0x1.0000000000000p-136, -0x1.0000000000000p+33, -0x1.fffff000003c0p-26, -0x1.0000000000000p+33, -0x1.ffffefe0003c0p-26},
{-0x1.0000000000020p-53, 0x1.0000000000000p-136, 0x1.0000000000000p+33, 0x1.fffff000003c0p-26, 0x1.0000000000000p+33, 0x1.ffffefe0003c0p-26},
{-0x1.0000000000020p-53, 0x1.0000000000000p-136, -0x1.0000000000000p+33, -0x1.fffff000003c0p-26, -0x1.0000000000000p+33, -0x1.fffff020003c0p-26},
{0x1.0000001ffff80p-7, 0x1.fffffdfffff8ep-61, 0x1.0000000200000p-27, -0x1.0000000000000p-96, 0x1.0000101ffff82p-7, 0x1.fffffdffdff8ep-61},
{0x1.0000001ffff80p-7, 0x1.fffffdfffff8ep-61, -0x1.0000000200000p-27, 0x1.0000000000000p-96, 0x1.ffffe03fffefdp-8, -0x1.ffe0072000000p-85},
{-0x1.0000001ffff80p-7, -0x1.fffffdfffff8ep-61, 0x1.0000000200000p-27, -0x1.0000000000000p-96, -0x1.ffffe03fffefdp-8, 0x1.ffe0072000000p-85},
{-0x1.0000001ffff80p-7, -0x1.fffffdfffff8ep-61, -0x1.0000000200000p-27, 0x1.0000000000000p-96, -0x1.0000101ffff82p-7, -0x1.fffffdffdff8ep-61},
{0x1.01ffffff80400p-38, -0x1.c7ffffc000100p-96, 0x1.0000000000000p-47, 0x1.8fff01fffff00p-107, 0x1.027fffff80400p-38, -0x1.c7cdffdfc0100p-96},
{0x1.01ffffff80400p-38, -0x1.c7ffffc000100p-96, -0x1.0000000000000p-47, -0x1.8fff01fffff00p-107, 0x1.017fffff80400p-38, -0x1.c831ffa040100p-96},
{-0x1.01ffffff80400p-38, 0x1.c7ffffc000100p-96, 0x1.0000000000000p-47, 0x1.8fff01fffff00p-107, -0x1.017fffff80400p-38, 0x1.c831ffa040100p-96},
{-0x1.01ffffff80400p-38, 0x1.c7ffffc000100p-96, -0x1.0000000000000p-47, -0x1.8fff01fffff00p-107, -0x1.027fffff80400p-38, 0x1.c7cdffdfc0100p-96},
{0x1.0000000000008p-27, -0x1.ffffc00800000p-100, 0x1.00003ffe00002p+16, -0x1.ffffffc180080p-44, 0x1.00003ffe00202p+16, -0x1.ffffffc080080p-44},
{0x1.0000000000008p-27, -0x1.ffffc00800000p-100, -0x1.00003ffe00002p+16, 0x1.ffffffc180080p-44, -0x1.00003ffdffe02p+16, 0x1.ffffffc280080p-44},
{-0x1.0000000000008p-27, 0x1.ffffc00800000p-100, 0x1.00003ffe00002p+16, -0x1.ffffffc180080p-44, 0x1.00003ffdffe02p+16, -0x1.ffffffc280080p-44},
{-0x1.0000000000008p-27, 0x1.ffffc00800000p-100, -0x1.00003ffe00002p+16, 0x1.ffffffc180080p-44, -0x1.00003ffe00202p+16, 0x1.ffffffc080080p-44},
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{0x1.1fff81ff00000p+13, 0x1.e007ffff00000p-44, -0x1.1ffffffff8000p-5, -0x1.fe001ffffffe0p-61, 0x1.1fff39ff00000p+13, 0x1.7801c03fbc000p-42},
{-0x1.1fff81ff00000p+13, -0x1.e007ffff00000p-44, 0x1.1ffffffff8000p-5, 0x1.fe001ffffffe0p-61, -0x1.1fff39ff00000p+13, -0x1.7801c03fbc000p-42},
{-0x1.1fff81ff00000p+13, -0x1.e007ffff00000p-44, -0x1.1ffffffff8000p-5, -0x1.fe001ffffffe0p-61, -0x1.1fffc9ff00000p+13, 0x1.0ffb808078000p-43},
{0x1.0000000000000p+15, 0x1.fffc03fe00700p-46, 0x1.0000000000001p+24, -0x1.fff8060000f34p-31, 0x1.0080000000001p+24, -0x1.fff40607f8f74p-31},
{0x1.0000000000000p+15, 0x1.fffc03fe00700p-46, -0x1.0000000000001p+24, 0x1.fff8060000f34p-31, -0x1.ff00000000002p+23, 0x1.fffc05f808ef4p-31},
{-0x1.0000000000000p+15, -0x1.fffc03fe00700p-46, 0x1.0000000000001p+24, -0x1.fff8060000f34p-31, 0x1.ff00000000002p+23, -0x1.fffc05f808ef4p-31},
{-0x1.0000000000000p+15, -0x1.fffc03fe00700p-46, -0x1.0000000000001p+24, 0x1.fff8060000f34p-31, -0x1.0080000000001p+24, 0x1.fff40607f8f74p-31},
{0x1.001ffffc00080p+19, -0x1.fe00000200000p-42, 0x1.0000000001000p-24, -0x1.fe3ffffff0080p-84, 0x1.001ffffc00280p+19, -0x1.fdfffc0200800p-42},
{0x1.001ffffc00080p+19, -0x1.fe00000200000p-42, -0x1.0000000001000p-24, 0x1.fe3ffffff0080p-84, 0x1.001ffffbffe80p+19, -0x1.fe000401ff800p-42},
{-0x1.001ffffc00080p+19, 0x1.fe00000200000p-42, 0x1.0000000001000p-24, -0x1.fe3ffffff0080p-84, -0x1.001ffffbffe80p+19, 0x1.fe000401ff800p-42},
{-0x1.001ffffc00080p+19, 0x1.fe00000200000p-42, -0x1.0000000001000p-24, 0x1.fe3ffffff0080p-84, -0x1.001ffffc00280p+19, 0x1.fdfffc0200800p-42},
{0x1.00001fffff800p+37, 0x1.ffffff801ffc0p-22, 0x1.0000000002000p+12, -0x1.0000000000000p-93, 0x1.0000207fff800p+37, 0x1.03ffffc00ffe0p-21},
{0x1.00001fffff800p+37, 0x1.ffffff801ffc0p-22, -0x1.0000000002000p+12, 0x1.0000000000000p-93, 0x1.00001f7fff800p+37, 0x1.f7ffff801ffc0p-22},
{-0x1.00001fffff800p+37, -0x1.ffffff801ffc0p-22, 0x1.0000000002000p+12, -0x1.0000000000000p-93, -0x1.00001f7fff800p+37, -0x1.f7ffff801ffc0p-22},
{-0x1.00001fffff800p+37, -0x1.ffffff801ffc0p-22, -0x1.0000000002000p+12, 0x1.0000000000000p-93, -0x1.0000207fff800p+37, -0x1.03ffffc00ffe0p-21},
{0x1.0000000000000p-40, 0x1.ffff83ffbfff0p-96, 0x1.0000000000000p-34, 0x1.ffffffffe0000p-90, 0x1.0400000000000p-34, 0x1.03ffff07ef800p-89},
{0x1.0000000000000p-40, 0x1.ffff83ffbfff0p-96, -0x1.0000000000000p-34, -0x1.ffffffffe0000p-90, -0x1.f800000000000p-35, -0x1.f80001efe1000p-90},
{-0x1.0000000000000p-40, -0x1.ffff83ffbfff0p-96, 0x1.0000000000000p-34, 0x1.ffffffffe0000p-90, 0x1.f800000000000p-35, 0x1.f80001efe1000p-90},
{-0x1.0000000000000p-40, -0x1.ffff83ffbfff0p-96, -0x1.0000000000000p-34, -0x1.ffffffffe0000p-90, -0x1.0400000000000p-34, -0x1.03ffff07ef800p-89},
{0x1.0000000000000p+39, 0x1.fffe7ff3dff00p-22, 0x1.000007f830000p+13, 0x1.fff0000ffe100p-48, 0x1.0000004000020p+39, -0x1.e4000bfc61208p-17},
{0x1.0000000000000p+39, 0x1.fffe7ff3dff00p-22, -0x1.000007f830000p+13, -0x1.fff0000ffe100p-48, 0x1.ffffff7ffffc0p+38, 0x1.01fff9fdcf8fcp-16},
{-0x1.0000000000000p+39, -0x1.fffe7ff3dff00p-22, 0x1.000007f830000p+13, 0x1.fff0000ffe100p-48, -0x1.ffffff7ffffc0p+38, -0x1.01fff9fdcf8fcp-16},
{-0x1.0000000000000p+39, -0x1.fffe7ff3dff00p-22, -0x1.000007f830000p+13, -0x1.fff0000ffe100p-48, -0x1.0000004000020p+39, 0x1.e4000bfc61208p-17},
{0x1.00000ffffe000p+18, 0x1.fffffffffc000p-49, 0x1.0000000000002p-46, -0x1.fffffe01f8004p-101, 0x1.00000ffffe000p+18, 0x1.3fffffffff800p-46},
{0x1.00000ffffe000p+18, 0x1.fffffffffc000p-49, -0x1.0000000000002p-46, 0x1.fffffe01f8004p-101, 0x1.00000ffffe000p+18, -0x1.8000000001000p-47},
{-0x1.00000ffffe000p+18, -0x1.fffffffffc000p-49, 0x1.0000000000002p-46, -0x1.fffffe01f8004p-101, -0x1.00000ffffe000p+18, 0x1.8000000001000p-47},
{-0x1.00000ffffe000p+18, -0x1.fffffffffc000p-49, -0x1.0000000000002p-46, 0x1.fffffe01f8004p-101, -0x1.00000ffffe000p+18, -0x1.3fffffffff800p-46},
{0x1.0000000000060p+41, 0x1.fffe3fff00000p-22, 0x1.0000000002000p+4, -0x1.ffe0002000000p-53, 0x1.0000000008060p+41, 0x1.00031ffd80200p-21},
{0x1.0000000000060p+41, 0x1.fffe3fff00000p-22, -0x1.0000000002000p+4, 0x1.ffe0002000000p-53, 0x1.fffffffff00c0p+40, 0x1.fff64002ffc00p-22},
{-0x1.0000000000060p+41, -0x1.fffe3fff00000p-22, 0x1.0000000002000p+4, -0x1.ffe0002000000p-53, -0x1.fffffffff00c0p+40, -0x1.fff64002ffc00p-22},
{-0x1.0000000000060p+41, -0x1.fffe3fff00000p-22, -0x1.0000000002000p+4, 0x1.ffe0002000000p-53, -0x1.0000000008060p+41, -0x1.00031ffd80200p-21},
{0x1.0003ffffffff8p-50, 0x1.ffffe07e00000p-124, 0x1.07ff000008000p+19, -0x1.e000020000000p-42, 0x1.07ff000008000p+19, -0x1.defffe0000000p-42},
{0x1.0003ffffffff8p-50, 0x1.ffffe07e00000p-124, -0x1.07ff000008000p+19, 0x1.e000020000000p-42, -0x1.07ff000008000p+19, 0x1.e100060000000p-42},
{-0x1.0003ffffffff8p-50, -0x1.ffffe07e00000p-124, 0x1.07ff000008000p+19, -0x1.e000020000000p-42, 0x1.07ff000008000p+19, -0x1.e100060000000p-42},
{-0x1.0003ffffffff8p-50, -0x1.ffffe07e00000p-124, -0x1.07ff000008000p+19, 0x1.e000020000000p-42, -0x1.07ff000008000p+19, 0x1.defffe0000000p-42},
// Some test cases drawn only from the [0.5,1] binade:
{0x1.0000000000002p-1, -0x1.ffc0ffff90000p-65, 0x1.0003ffffffffcp-1, 0x1.ffffc00000000p-88, 0x1.0001fffffffffp+0, -0x1.ffc0fbff90000p-65},
{0x1.0000000000002p-1, -0x1.ffc0ffff90000p-65, -0x1.0003ffffffffcp-1, -0x1.ffffc00000000p-88, -0x1.ffffffffd0010p-16, 0x1.f7e0038400000p-76},
{-0x1.0000000000002p-1, 0x1.ffc0ffff90000p-65, 0x1.0003ffffffffcp-1, 0x1.ffffc00000000p-88, 0x1.ffffffffd0010p-16, -0x1.f7e0038400000p-76},
{-0x1.0000000000002p-1, 0x1.ffc0ffff90000p-65, -0x1.0003ffffffffcp-1, -0x1.ffffc00000000p-88, -0x1.0001fffffffffp+0, 0x1.ffc0fbff90000p-65},
{0x1.0000100000000p-1, -0x1.0000000000000p-63, 0x1.0000000004000p-1, -0x1.ffffe00fc0200p-57, 0x1.0000080002000p+0, -0x1.01fff007e0100p-56},
{0x1.0000100000000p-1, -0x1.0000000000000p-63, -0x1.0000000004000p-1, 0x1.ffffe00fc0200p-57, 0x1.ffff80003f800p-22, -0x1.ff03fe0000000p-77},
{-0x1.0000100000000p-1, 0x1.0000000000000p-63, 0x1.0000000004000p-1, -0x1.ffffe00fc0200p-57, -0x1.ffff80003f800p-22, 0x1.ff03fe0000000p-77},
{-0x1.0000100000000p-1, 0x1.0000000000000p-63, -0x1.0000000004000p-1, 0x1.ffffe00fc0200p-57, -0x1.0000080002000p+0, 0x1.01fff007e0100p-56},
{0x1.0000000800000p-1, -0x1.0000000000000p-73, 0x1.000003fffc002p-1, -0x1.0000000000000p-106, 0x1.00000203fe001p+0, -0x1.0000000000000p-73},
{0x1.0000000800000p-1, -0x1.0000000000000p-73, -0x1.000003fffc002p-1, 0x1.0000000000000p-106, -0x1.fbfe001000008p-24, 0x1.0000000000000p-106},
{-0x1.0000000800000p-1, 0x1.0000000000000p-73, 0x1.000003fffc002p-1, -0x1.0000000000000p-106, 0x1.fbfe001000008p-24, -0x1.0000000000000p-106},
{-0x1.0000000800000p-1, 0x1.0000000000000p-73, -0x1.000003fffc002p-1, 0x1.0000000000000p-106, -0x1.00000203fe001p+0, 0x1.0000000000000p-73},
{0x1.0000000000000p-1, 0x1.ffc001ffffe00p-56, 0x1.000003fff8000p-1, 0x1.fffc000fc0000p-72, 0x1.000001fffc000p+0, 0x1.ffc201fbfff00p-56},
{0x1.0000000000000p-1, 0x1.ffc001ffffe00p-56, -0x1.000003fff8000p-1, -0x1.fffc000fc0000p-72, -0x1.fffbfffe00420p-24, 0x1.01ffe82000000p-79},
{-0x1.0000000000000p-1, -0x1.ffc001ffffe00p-56, 0x1.000003fff8000p-1, 0x1.fffc000fc0000p-72, 0x1.fffbfffe00420p-24, -0x1.01ffe82000000p-79},
{-0x1.0000000000000p-1, -0x1.ffc001ffffe00p-56, -0x1.000003fff8000p-1, -0x1.fffc000fc0000p-72, -0x1.000001fffc000p+0, -0x1.ffc201fbfff00p-56},
{0x1.0000000000003p-1, 0x1.fc00001fff800p-65, 0x1.0000000000020p-1, -0x1.fc01ffe002000p-65, 0x1.0000000000011p+0, 0x1.ffffffc007ffcp-54},
{0x1.0000000000003p-1, 0x1.fc00001fff800p-65, -0x1.0000000000020p-1, 0x1.fc01ffe002000p-65, -0x1.cffc07fe00000p-49, 0x1.8000000000000p-105},
{-0x1.0000000000003p-1, -0x1.fc00001fff800p-65, 0x1.0000000000020p-1, -0x1.fc01ffe002000p-65, 0x1.cffc07fe00000p-49, -0x1.8000000000000p-105},
{-0x1.0000000000003p-1, -0x1.fc00001fff800p-65, -0x1.0000000000020p-1, 0x1.fc01ffe002000p-65, -0x1.0000000000011p+0, -0x1.ffffffc007ffcp-54},
{0x1.0000000000000p-1, 0x1.fffff00001ffep-55, 0x1.0000000000000p-1, 0x1.ff00000ffff80p-61, 0x1.0000000000000p+0, 0x1.03fdf80020ffep-54},
{0x1.0000000000000p-1, 0x1.fffff00001ffep-55, -0x1.0000000000000p-1, -0x1.ff00000ffff80p-61, 0x1.f803efffc2000p-55, 0x0.0000000000000p+0},
{-0x1.0000000000000p-1, -0x1.fffff00001ffep-55, 0x1.0000000000000p-1, 0x1.ff00000ffff80p-61, -0x1.f803efffc2000p-55, 0x0.0000000000000p+0},
{-0x1.0000000000000p-1, -0x1.fffff00001ffep-55, -0x1.0000000000000p-1, -0x1.ff00000ffff80p-61, -0x1.0000000000000p+0, -0x1.03fdf80020ffep-54},
{0x1.0000000000000p-1, 0x1.ffffffffffc00p-64, 0x1.0000200000000p-1, -0x1.ffc0000080000p-73, 0x1.0000100000000p+0, 0x1.ff001fffff800p-64},
{0x1.0000000000000p-1, 0x1.ffffffffffc00p-64, -0x1.0000200000000p-1, 0x1.ffc0000080000p-73, -0x1.ffffffffffbfep-21, -0x1.0000000000000p-83},
{-0x1.0000000000000p-1, -0x1.ffffffffffc00p-64, 0x1.0000200000000p-1, -0x1.ffc0000080000p-73, 0x1.ffffffffffbfep-21, 0x1.0000000000000p-83},
{-0x1.0000000000000p-1, -0x1.ffffffffffc00p-64, -0x1.0000200000000p-1, 0x1.ffc0000080000p-73, -0x1.0000100000000p+0, -0x1.ff001fffff800p-64},
{0x1.0000000000800p-1, -0x1.fffc000000010p-58, 0x1.0000000000008p-1, -0x1.ffe03fffff010p-58, 0x1.0000000000404p+0, -0x1.ffee1fffff810p-57},
{0x1.0000000000800p-1, -0x1.fffc000000010p-58, -0x1.0000000000008p-1, 0x1.ffe03fffff010p-58, 0x1.fdffffc880000p-43, -0x1.0000000000000p-98},
{-0x1.0000000000800p-1, 0x1.fffc000000010p-58, 0x1.0000000000008p-1, -0x1.ffe03fffff010p-58, -0x1.fdffffc880000p-43, 0x1.0000000000000p-98},
{-0x1.0000000000800p-1, 0x1.fffc000000010p-58, -0x1.0000000000008p-1, 0x1.ffe03fffff010p-58, -0x1.0000000000404p+0, 0x1.ffee1fffff810p-57},
{0x1.0000000000000p-1, 0x1.fffef0ffff000p-64, 0x1.0000100000000p-1, -0x1.fff8000000800p-65, 0x1.0000080000000p+0, 0x1.0002f0ffff000p-64},
{0x1.0000000000000p-1, 0x1.fffef0ffff000p-64, -0x1.0000100000000p-1, 0x1.fff8000000800p-65, -0x1.ffffffffff400p-22, -0x1.43c0003000000p-78},
{-0x1.0000000000000p-1, -0x1.fffef0ffff000p-64, 0x1.0000100000000p-1, -0x1.fff8000000800p-65, 0x1.ffffffffff400p-22, 0x1.43c0003000000p-78},
{-0x1.0000000000000p-1, -0x1.fffef0ffff000p-64, -0x1.0000100000000p-1, 0x1.fff8000000800p-65, -0x1.0000080000000p+0, -0x1.0002f0ffff000p-64},
{0x1.07c00007ffff0p-1, 0x1.fffc00f800000p-77, 0x1.0000007ffffe0p-1, 0x1.f000000000000p-72, 0x1.03e00043fffe8p+0, 0x1.ffffe00800000p-72},
{0x1.07c00007ffff0p-1, 0x1.fffc00f800000p-77, -0x1.0000007ffffe0p-1, -0x1.f000000000000p-72, 0x1.efffe20000400p-7, -0x1.e0001ff840000p-72},
{-0x1.07c00007ffff0p-1, -0x1.fffc00f800000p-77, 0x1.0000007ffffe0p-1, 0x1.f000000000000p-72, -0x1.efffe20000400p-7, 0x1.e0001ff840000p-72},
{-0x1.07c00007ffff0p-1, -0x1.fffc00f800000p-77, -0x1.0000007ffffe0p-1, -0x1.f000000000000p-72, -0x1.03e00043fffe8p+0, -0x1.ffffe00800000p-72},
{0x1.0000000000000p-1, 0x1.ff800fffff800p-57, 0x1.0000000000000p-1, 0x1.fffc0000ffff8p-57, 0x1.0000000000000p+0, 0x1.ffbe08007fc00p-56},
{0x1.0000000000000p-1, 0x1.ff800fffff800p-57, -0x1.0000000000000p-1, -0x1.fffc0000ffff8p-57, -0x1.efc00401fe000p-67, 0x0.0000000000000p+0},
{-0x1.0000000000000p-1, -0x1.ff800fffff800p-57, 0x1.0000000000000p-1, 0x1.fffc0000ffff8p-57, 0x1.efc00401fe000p-67, 0x0.0000000000000p+0},
{-0x1.0000000000000p-1, -0x1.ff800fffff800p-57, -0x1.0000000000000p-1, -0x1.fffc0000ffff8p-57, -0x1.0000000000000p+0, -0x1.ffbe08007fc00p-56},
{0x1.0000000008000p-1, -0x1.ffff807ffe002p-55, 0x1.0000000800000p-1, -0x1.ffffff8000008p-57, 0x1.0000000404000p+0, -0x1.3fffc02fff002p-54},
{0x1.0000000008000p-1, -0x1.ffff807ffe002p-55, -0x1.0000000800000p-1, 0x1.ffffff8000008p-57, -0x1.fe00017fff80ap-31, 0x1.0000000000000p-94},
{-0x1.0000000008000p-1, 0x1.ffff807ffe002p-55, 0x1.0000000800000p-1, -0x1.ffffff8000008p-57, 0x1.fe00017fff80ap-31, -0x1.0000000000000p-94},
{-0x1.0000000008000p-1, 0x1.ffff807ffe002p-55, -0x1.0000000800000p-1, 0x1.ffffff8000008p-57, -0x1.0000000404000p+0, 0x1.3fffc02fff002p-54},
{0x1.0000000000020p-1, -0x1.0000000000000p-84, 0x1.0000000000000p-1, 0x1.fffff000003c0p-60, 0x1.0000000000010p+0, 0x1.ffffef0000400p-60},
{0x1.0000000000020p-1, -0x1.0000000000000p-84, -0x1.0000000000000p-1, -0x1.fffff000003c0p-60, 0x1.ffc00001e0000p-49, -0x1.e000000000000p-103},
{-0x1.0000000000020p-1, 0x1.0000000000000p-84, 0x1.0000000000000p-1, 0x1.fffff000003c0p-60, -0x1.ffc00001e0000p-49, 0x1.e000000000000p-103},
{-0x1.0000000000020p-1, 0x1.0000000000000p-84, -0x1.0000000000000p-1, -0x1.fffff000003c0p-60, -0x1.0000000000010p+0, -0x1.ffffef0000400p-60},
{0x1.0000001ffff80p-1, 0x1.fffffdfffff8ep-55, 0x1.0000000200000p-1, -0x1.0000000000000p-70, 0x1.00000010fffc0p+0, 0x1.fffdfdfffff90p-55},
{0x1.0000001ffff80p-1, 0x1.fffffdfffff8ep-55, -0x1.0000000200000p-1, 0x1.0000000000000p-70, 0x1.dfff8080007f8p-29, -0x1.c800000000000p-101},
{-0x1.0000001ffff80p-1, -0x1.fffffdfffff8ep-55, 0x1.0000000200000p-1, -0x1.0000000000000p-70, -0x1.dfff8080007f8p-29, 0x1.c800000000000p-101},
{-0x1.0000001ffff80p-1, -0x1.fffffdfffff8ep-55, -0x1.0000000200000p-1, 0x1.0000000000000p-70, -0x1.00000010fffc0p+0, -0x1.fffdfdfffff90p-55},
{0x1.01ffffff80400p-1, -0x1.c7ffffc000100p-59, 0x1.0000000000000p-1, 0x1.8fff01fffff00p-61, 0x1.00ffffffc0200p+0, -0x1.64003f4000140p-59},
{0x1.01ffffff80400p-1, -0x1.c7ffffc000100p-59, -0x1.0000000000000p-1, -0x1.8fff01fffff00p-61, 0x1.ffffff803fff7p-9, 0x1.4003fbffff400p-63},
{-0x1.01ffffff80400p-1, 0x1.c7ffffc000100p-59, 0x1.0000000000000p-1, 0x1.8fff01fffff00p-61, -0x1.ffffff803fff7p-9, -0x1.4003fbffff400p-63},
{-0x1.01ffffff80400p-1, 0x1.c7ffffc000100p-59, -0x1.0000000000000p-1, -0x1.8fff01fffff00p-61, -0x1.00ffffffc0200p+0, 0x1.64003f4000140p-59},
{0x1.0000000000008p-1, -0x1.ffffc00800000p-74, 0x1.00003ffe00002p-1, -0x1.ffffffc180080p-61, 0x1.00001fff00005p+0, -0x1.0007ffdfc0200p-60},
{0x1.0000000000008p-1, -0x1.ffffc00800000p-74, -0x1.00003ffe00002p-1, 0x1.ffffffc180080p-61, -0x1.ffeffffcff001p-20, 0x1.fff86ff900000p-74},
{-0x1.0000000000008p-1, 0x1.ffffc00800000p-74, 0x1.00003ffe00002p-1, -0x1.ffffffc180080p-61, 0x1.ffeffffcff001p-20, -0x1.fff86ff900000p-74},
{-0x1.0000000000008p-1, 0x1.ffffc00800000p-74, -0x1.00003ffe00002p-1, 0x1.ffffffc180080p-61, -0x1.00001fff00005p+0, 0x1.0007ffdfc0200p-60},
{0x1.000000ffffff8p-1, 0x1.ffffffc000000p-58, 0x1.0000000000000p-1, 0x1.ffffffe000000p-59, 0x1.0000007fffffcp+0, 0x1.7fffffd800000p-57},
{0x1.000000ffffff8p-1, 0x1.ffffffc000000p-58, -0x1.0000000000000p-1, -0x1.ffffffe000000p-59, 0x1.ffffff0100000p-26, -0x1.8000000000000p-85},
{-0x1.000000ffffff8p-1, -0x1.ffffffc000000p-58, 0x1.0000000000000p-1, 0x1.ffffffe000000p-59, -0x1.ffffff0100000p-26, 0x1.8000000000000p-85},
{-0x1.000000ffffff8p-1, -0x1.ffffffc000000p-58, -0x1.0000000000000p-1, -0x1.ffffffe000000p-59, -0x1.0000007fffffcp+0, -0x1.7fffffd800000p-57},
{0x1.0000000020000p-1, -0x1.0000000000000p-106, 0x1.0000000000400p-1, -0x1.ff1ffffff4000p-68, 0x1.0000000010200p+0, -0x1.ff1ffffff8000p-68},
{0x1.0000000020000p-1, -0x1.0000000000000p-106, -0x1.0000000000400p-1, 0x1.ff1ffffff4000p-68, 0x1.fc000003fe400p-37, -0x1.0000000000000p-104},
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{0x1.001ffffc00080p-1, -0x1.fe00000200000p-62, 0x1.0000000001000p-1, -0x1.fe3ffffff0080p-61, 0x1.000ffffe00840p+0, -0x1.7ea0000078000p-60},
{0x1.001ffffc00080p-1, -0x1.fe00000200000p-62, -0x1.0000000001000p-1, 0x1.fe3ffffff0080p-61, 0x1.ffffbff080010p-13, -0x1.8000021ff0000p-70},
{-0x1.001ffffc00080p-1, 0x1.fe00000200000p-62, 0x1.0000000001000p-1, -0x1.fe3ffffff0080p-61, -0x1.ffffbff080010p-13, 0x1.8000021ff0000p-70},
{-0x1.001ffffc00080p-1, 0x1.fe00000200000p-62, -0x1.0000000001000p-1, 0x1.fe3ffffff0080p-61, -0x1.000ffffe00840p+0, 0x1.7ea0000078000p-60},
{0x1.00001fffff800p-1, 0x1.ffffff801ffc0p-60, 0x1.0000000002000p-1, -0x1.0000000000000p-106, 0x1.0000100000c00p+0, 0x1.ffffff801ff80p-60},
{0x1.00001fffff800p-1, 0x1.ffffff801ffc0p-60, -0x1.0000000002000p-1, 0x1.0000000000000p-106, 0x1.ffffd80004000p-21, -0x1.ff80000000000p-86},
{-0x1.00001fffff800p-1, -0x1.ffffff801ffc0p-60, 0x1.0000000002000p-1, -0x1.0000000000000p-106, -0x1.ffffd80004000p-21, 0x1.ff80000000000p-86},
{-0x1.00001fffff800p-1, -0x1.ffffff801ffc0p-60, -0x1.0000000002000p-1, 0x1.0000000000000p-106, -0x1.0000100000c00p+0, -0x1.ffffff801ff80p-60},
{0x1.0000000000000p-1, 0x1.ffff83ffbfff0p-57, 0x1.0000000000000p-1, 0x1.ffffffffe0000p-57, 0x1.0000000000000p+0, 0x1.ffffc1ffcfff8p-56},
{0x1.0000000000000p-1, 0x1.ffff83ffbfff0p-57, -0x1.0000000000000p-1, -0x1.ffffffffe0000p-57, -0x1.f000800400000p-75, 0x0.0000000000000p+0},
{-0x1.0000000000000p-1, -0x1.ffff83ffbfff0p-57, 0x1.0000000000000p-1, 0x1.ffffffffe0000p-57, 0x1.f000800400000p-75, 0x0.0000000000000p+0},
{-0x1.0000000000000p-1, -0x1.ffff83ffbfff0p-57, -0x1.0000000000000p-1, -0x1.ffffffffe0000p-57, -0x1.0000000000000p+0, -0x1.ffffc1ffcfff8p-56},
{0x1.0000000000000p-1, 0x1.fffe7ff3dff00p-62, 0x1.000007f830000p-1, 0x1.fff0000ffe100p-62, 0x1.000003fc18000p+0, 0x1.fff74001ef000p-61},
{0x1.0000000000000p-1, 0x1.fffe7ff3dff00p-62, -0x1.000007f830000p-1, -0x1.fff0000ffe100p-62, -0x1.fe0bffffffffep-23, -0x1.801c1e2000000p-78},
{-0x1.0000000000000p-1, -0x1.fffe7ff3dff00p-62, 0x1.000007f830000p-1, 0x1.fff0000ffe100p-62, 0x1.fe0bffffffffep-23, 0x1.801c1e2000000p-78},
{-0x1.0000000000000p-1, -0x1.fffe7ff3dff00p-62, -0x1.000007f830000p-1, -0x1.fff0000ffe100p-62, -0x1.000003fc18000p+0, -0x1.fff74001ef000p-61},
{0x1.00000ffffe000p-1, 0x1.fffffffffc000p-68, 0x1.0000000000002p-1, -0x1.fffffe01f8004p-56, 0x1.000007ffff001p+0, -0x1.ffdffe01f8008p-56},
{0x1.00000ffffe000p-1, 0x1.fffffffffc000p-68, -0x1.0000000000002p-1, 0x1.fffffe01f8004p-56, 0x1.ffffbffc80080p-22, -0x1.fe08000000000p-80},
{-0x1.00000ffffe000p-1, -0x1.fffffffffc000p-68, 0x1.0000000000002p-1, -0x1.fffffe01f8004p-56, -0x1.ffffbffc80080p-22, 0x1.fe08000000000p-80},
{-0x1.00000ffffe000p-1, -0x1.fffffffffc000p-68, -0x1.0000000000002p-1, 0x1.fffffe01f8004p-56, -0x1.000007ffff001p+0, 0x1.ffdffe01f8008p-56},
{0x1.0000000000060p-1, 0x1.fffe3fff00000p-64, 0x1.0000000002000p-1, -0x1.ffe0002000000p-58, 0x1.0000000001030p+0, -0x1.f7e0072004000p-58},
{0x1.0000000000060p-1, 0x1.fffe3fff00000p-64, -0x1.0000000002000p-1, 0x1.ffe0002000000p-58, -0x1.f9fefc1003700p-41, -0x1.0000000000000p-96},
{-0x1.0000000000060p-1, -0x1.fffe3fff00000p-64, 0x1.0000000002000p-1, -0x1.ffe0002000000p-58, 0x1.f9fefc1003700p-41, 0x1.0000000000000p-96},
{-0x1.0000000000060p-1, -0x1.fffe3fff00000p-64, -0x1.0000000002000p-1, 0x1.ffe0002000000p-58, -0x1.0000000001030p+0, 0x1.f7e0072004000p-58},
{0x1.0003ffffffff8p-1, 0x1.ffffe07e00000p-75, 0x1.07ff000008000p-1, -0x1.e000020000000p-62, 0x1.0401800003ffcp+0, -0x1.dff00200fc000p-62},
{0x1.0003ffffffff8p-1, 0x1.ffffe07e00000p-75, -0x1.07ff000008000p-1, 0x1.e000020000000p-62, -0x1.fec0000200200p-7, 0x1.e01001ff03f00p-62},
{-0x1.0003ffffffff8p-1, -0x1.ffffe07e00000p-75, 0x1.07ff000008000p-1, -0x1.e000020000000p-62, 0x1.fec0000200200p-7, -0x1.e01001ff03f00p-62},
{-0x1.0003ffffffff8p-1, -0x1.ffffe07e00000p-75, -0x1.07ff000008000p-1, 0x1.e000020000000p-62, -0x1.0401800003ffcp+0, 0x1.dff00200fc000p-62},
};
const int numAccuracyTests = sizeof(accuracyTests) / sizeof(struct testVector);
#include <math.h>
double testAccuracy() {
int i;
DD a, b, c, r;
double worstUlps = 0.5;
for (i=0; i<numAccuracyTests; ++i) {
a.hi = accuracyTests[i].xhi;
a.lo = accuracyTests[i].xlo;
b.hi = -accuracyTests[i].yhi;
b.lo = -accuracyTests[i].ylo;
r.hi = accuracyTests[i].rhi;
r.lo = accuracyTests[i].rlo;
DD c = { .ld = __gcc_qsub(a.ld, b.ld) };
double error = __builtin_fabs(((r.hi - c.hi) + r.lo) - c.lo);
if (error != 0.0) {
int exponent = ilogb(r.hi);
exponent = (exponent < -1022 ? -1022 : exponent);
double ulpError = scalbn(error, 106 - exponent);
if (ulpError > worstUlps) {
#ifdef PRINT_ACCURACY_INFORMATION
printf("New worst rounding error for (%a,%a) + (%a,%a):\n", a.hi, a.lo, b.hi, b.lo);
printf("\tExpected: (%a,%a)\n", r.hi, r.lo);
printf("\tComputed: (%a,%a)\n", c.hi, c.lo);
printf("\tError: %f ulps\n", ulpError);
#endif
worstUlps = ulpError;
}
}
}
return worstUlps;
}