#include <stdio.h>
#include "DD.h"
long double __gcc_qdiv(long double x, long double y);
double testAccuracy();
int testEdgeCases();
int main(int argc, char *argv[]) {
if (testEdgeCases())
return 1;
if (testAccuracy() > 4.0)
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, QNAN, 0.0 },
{ -0.0, 0.0, 0.0, 0.0, QNAN, 0.0 },
{ 0.0, 0.0, -0.0, 0.0, QNAN, 0.0 },
{ -0.0, 0.0, -0.0, 0.0, QNAN, 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, QNAN, 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, QNAN, 0.0 },
{ 0.0, 0.0, INFINITY, 0.0, 0.0, 0.0 },
{ 0.0, 0.0, -INFINITY, 0.0, -0.0, 0.0 },
{ -0.0, 0.0, INFINITY, 0.0, -0.0, 0.0 },
{ -0.0, 0.0, -INFINITY, 0.0, 0.0, 0.0 },
{ 1.0, 0.0, INFINITY, 0.0, 0.0, 0.0 },
{ 1.0, 0.0, -INFINITY, 0.0, -0.0, 0.0 },
{ -1.0, 0.0, INFINITY, 0.0, -0.0, 0.0 },
{ -1.0, 0.0, -INFINITY, 0.0, 0.0, 0.0 },
{ HUGE, 0.0, INFINITY, 0.0, 0.0, 0.0 },
{ HUGE, 0.0, -INFINITY, 0.0, -0.0, 0.0 },
{ -HUGE, 0.0, INFINITY, 0.0, -0.0, 0.0 },
{ -HUGE, 0.0, -INFINITY, 0.0, 0.0, 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;
DD c = { .ld = __gcc_qdiv(a.ld, b.ld) };
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;
}
/*
#include <stdio.h>
#include <stdlib.h>
#include <mpfr.h>
#include <math.h>
#ifdef __x86_64__
#define randlength 2
#else
#define randlength 4
#endif
void printTest(mpfr_t a, mpfr_t b, mpfr_t c) {
static const double infinityD = __builtin_inf();
MPFR_DECL_INIT(tmp, 53);
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 = isinf(chi) ? 0.0 : mpfr_get_d(tmp, GMP_RNDN);
printf("%0.13a, %0.13a},\n", chi, clo);
}
int main(int argc, char *argv[]) {
MPFR_DECL_INIT(a, 106);
MPFR_DECL_INIT(b, 106);
MPFR_DECL_INIT(c, 106);
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_div(c, a, b, GMP_RNDN);
printTest(a, b, c);
mpfr_neg(b, b, GMP_RNDN);
mpfr_div(c, a, b, GMP_RNDN);
printTest(a, b, c);
mpfr_neg(a, a, GMP_RNDN);
mpfr_neg(b, b, GMP_RNDN);
mpfr_div(c, a, b, GMP_RNDN);
printTest(a, b, c);
mpfr_neg(b, b, GMP_RNDN);
mpfr_div(c, a, b, GMP_RNDN);
printTest(a, b, c);
}
return 0;
}
*/
const struct testVector accuracyTests[] = {
{0x1.00001ffffff00p+419, 0x1.fffff83ff8000p+364, 0x1.00ffc00ffff00p-598, 0x1.fe0007fffff00p-654, 0x1.fe02bca42ad25p+1016, 0x1.29aa5d717c42cp+961},
{0x1.00001ffffff00p+419, 0x1.fffff83ff8000p+364, -0x1.00ffc00ffff00p-598, -0x1.fe0007fffff00p-654, -0x1.fe02bca42ad25p+1016, -0x1.29aa5d717c42cp+961},
{-0x1.00001ffffff00p+419, -0x1.fffff83ff8000p+364, 0x1.00ffc00ffff00p-598, 0x1.fe0007fffff00p-654, -0x1.fe02bca42ad25p+1016, -0x1.29aa5d717c42cp+961},
{-0x1.00001ffffff00p+419, -0x1.fffff83ff8000p+364, -0x1.00ffc00ffff00p-598, -0x1.fe0007fffff00p-654, 0x1.fe02bca42ad25p+1016, 0x1.29aa5d717c42cp+961},
{0x1.00001fffff800p-575, 0x1.fffffffe00000p-649, 0x1.3fffffff80000p-17, 0x1.ffffffff00000p-90, 0x1.9999cccd6fd72p-559, -0x1.476d58085a038p-615},
{0x1.00001fffff800p-575, 0x1.fffffffe00000p-649, -0x1.3fffffff80000p-17, -0x1.ffffffff00000p-90, -0x1.9999cccd6fd72p-559, 0x1.476d58085a038p-615},
{-0x1.00001fffff800p-575, -0x1.fffffffe00000p-649, 0x1.3fffffff80000p-17, 0x1.ffffffff00000p-90, -0x1.9999cccd6fd72p-559, 0x1.476d58085a038p-615},
{-0x1.00001fffff800p-575, -0x1.fffffffe00000p-649, -0x1.3fffffff80000p-17, -0x1.ffffffff00000p-90, 0x1.9999cccd6fd72p-559, -0x1.476d58085a038p-615},
{0x1.0000000800000p-557, -0x1.0000000000000p-629, 0x1.000003fffc002p+323, -0x1.0000000000000p+218, 0x1.fffff810081f8p-881, -0x1.00fb820825b80p-939},
{0x1.0000000800000p-557, -0x1.0000000000000p-629, -0x1.000003fffc002p+323, 0x1.0000000000000p+218, -0x1.fffff810081f8p-881, 0x1.00fb820825b80p-939},
{-0x1.0000000800000p-557, 0x1.0000000000000p-629, 0x1.000003fffc002p+323, -0x1.0000000000000p+218, -0x1.fffff810081f8p-881, 0x1.00fb820825b80p-939},
{-0x1.0000000800000p-557, 0x1.0000000000000p-629, -0x1.000003fffc002p+323, 0x1.0000000000000p+218, 0x1.fffff810081f8p-881, -0x1.00fb820825b80p-939},
{0x1.000003ffffffep+356, -0x1.ffe0080000000p+272, 0x1.0800000000000p-150, -0x1.0000000000000p-246, 0x1.f07c26c9b26c6p+505, -0x1.745d1764d6558p+450},
{0x1.000003ffffffep+356, -0x1.ffe0080000000p+272, -0x1.0800000000000p-150, 0x1.0000000000000p-246, -0x1.f07c26c9b26c6p+505, 0x1.745d1764d6558p+450},
{-0x1.000003ffffffep+356, 0x1.ffe0080000000p+272, 0x1.0800000000000p-150, -0x1.0000000000000p-246, -0x1.f07c26c9b26c6p+505, 0x1.745d1764d6558p+450},
{-0x1.000003ffffffep+356, 0x1.ffe0080000000p+272, -0x1.0800000000000p-150, 0x1.0000000000000p-246, 0x1.f07c26c9b26c6p+505, -0x1.745d1764d6558p+450},
{0x1.0000007fffc00p-14, 0x1.efe0000000000p-108, 0x1.007fffffe0000p-312, 0x0.0000000000000p+0, 0x1.ff0080bfdf705p+297, 0x1.fb017ac5608fap+243},
{0x1.0000007fffc00p-14, 0x1.efe0000000000p-108, -0x1.007fffffe0000p-312, 0x0.0000000000000p+0, -0x1.ff0080bfdf705p+297, -0x1.fb017ac5608fap+243},
{-0x1.0000007fffc00p-14, -0x1.efe0000000000p-108, 0x1.007fffffe0000p-312, 0x0.0000000000000p+0, -0x1.ff0080bfdf705p+297, -0x1.fb017ac5608fap+243},
{-0x1.0000007fffc00p-14, -0x1.efe0000000000p-108, -0x1.007fffffe0000p-312, 0x0.0000000000000p+0, 0x1.ff0080bfdf705p+297, 0x1.fb017ac5608fap+243},
{0x1.3fe0000100000p-744, -0x1.0000000000000p-817, 0x1.3fffffffffe00p+293, 0x1.fe00040000000p+218, 0x1.ffccccce60000p-1038, 0x0.0000000000000p+0},
{0x1.3fe0000100000p-744, -0x1.0000000000000p-817, -0x1.3fffffffffe00p+293, -0x1.fe00040000000p+218, -0x1.ffccccce60000p-1038, -0x0.0000000000000p+0},
{-0x1.3fe0000100000p-744, 0x1.0000000000000p-817, 0x1.3fffffffffe00p+293, 0x1.fe00040000000p+218, -0x1.ffccccce60000p-1038, -0x0.0000000000000p+0},
{-0x1.3fe0000100000p-744, 0x1.0000000000000p-817, -0x1.3fffffffffe00p+293, -0x1.fe00040000000p+218, 0x1.ffccccce60000p-1038, 0x0.0000000000000p+0},
{0x1.0001fff800000p+0, 0x1.ffffff0000ffep-54, 0x1.00ff000000800p+11, -0x1.0000000800000p-55, 0x1.fe07f601f30ffp-12, -0x1.b3714144d2a90p-69},
{0x1.0001fff800000p+0, 0x1.ffffff0000ffep-54, -0x1.00ff000000800p+11, 0x1.0000000800000p-55, -0x1.fe07f601f30ffp-12, 0x1.b3714144d2a90p-69},
{-0x1.0001fff800000p+0, -0x1.ffffff0000ffep-54, 0x1.00ff000000800p+11, -0x1.0000000800000p-55, -0x1.fe07f601f30ffp-12, 0x1.b3714144d2a90p-69},
{-0x1.0001fff800000p+0, -0x1.ffffff0000ffep-54, -0x1.00ff000000800p+11, 0x1.0000000800000p-55, 0x1.fe07f601f30ffp-12, -0x1.b3714144d2a90p-69},
{0x1.0000800000000p-381, -0x1.ffffffe400000p-444, 0x1.000001ffffffap+606, -0x1.ffe1f80400000p+531, 0x1.00007dffff046p-987, -0x1.d940000000000p-1051},
{0x1.0000800000000p-381, -0x1.ffffffe400000p-444, -0x1.000001ffffffap+606, 0x1.ffe1f80400000p+531, -0x1.00007dffff046p-987, 0x1.d940000000000p-1051},
{-0x1.0000800000000p-381, 0x1.ffffffe400000p-444, 0x1.000001ffffffap+606, -0x1.ffe1f80400000p+531, -0x1.00007dffff046p-987, 0x1.d940000000000p-1051},
{-0x1.0000800000000p-381, 0x1.ffffffe400000p-444, -0x1.000001ffffffap+606, 0x1.ffe1f80400000p+531, 0x1.00007dffff046p-987, -0x1.d940000000000p-1051},
{0x1.0000010000000p+772, -0x1.0000000000000p+667, 0x1.007fffffffc00p+750, 0x1.fffffc0000000p+679, 0x1.ff0081bf20ef5p+21, -0x1.e0f5922874ff2p-33},
{0x1.0000010000000p+772, -0x1.0000000000000p+667, -0x1.007fffffffc00p+750, -0x1.fffffc0000000p+679, -0x1.ff0081bf20ef5p+21, 0x1.e0f5922874ff2p-33},
{-0x1.0000010000000p+772, 0x1.0000000000000p+667, 0x1.007fffffffc00p+750, 0x1.fffffc0000000p+679, -0x1.ff0081bf20ef5p+21, 0x1.e0f5922874ff2p-33},
{-0x1.0000010000000p+772, 0x1.0000000000000p+667, -0x1.007fffffffc00p+750, -0x1.fffffc0000000p+679, 0x1.ff0081bf20ef5p+21, -0x1.e0f5922874ff2p-33},
{0x1.0080000000000p-547, -0x1.0000000000000p-620, 0x1.001ffffffc000p+963, 0x1.fffffffff001cp+908, 0x0.0000000000000p+0, 0x0.0000000000000p+0},
{0x1.0080000000000p-547, -0x1.0000000000000p-620, -0x1.001ffffffc000p+963, -0x1.fffffffff001cp+908, -0x0.0000000000000p+0, -0x0.0000000000000p+0},
{-0x1.0080000000000p-547, 0x1.0000000000000p-620, 0x1.001ffffffc000p+963, 0x1.fffffffff001cp+908, -0x0.0000000000000p+0, -0x0.0000000000000p+0},
{-0x1.0080000000000p-547, 0x1.0000000000000p-620, -0x1.001ffffffc000p+963, -0x1.fffffffff001cp+908, 0x0.0000000000000p+0, 0x0.0000000000000p+0},
{0x1.000001fffff80p-138, 0x1.fffffc001fffcp-193, 0x1.00001ffff8000p-554, 0x1.00007f001e000p-609, 0x1.ffffc40017700p+415, -0x1.9c017d7fb3e20p+358},
{0x1.000001fffff80p-138, 0x1.fffffc001fffcp-193, -0x1.00001ffff8000p-554, -0x1.00007f001e000p-609, -0x1.ffffc40017700p+415, 0x1.9c017d7fb3e20p+358},
{-0x1.000001fffff80p-138, -0x1.fffffc001fffcp-193, 0x1.00001ffff8000p-554, 0x1.00007f001e000p-609, -0x1.ffffc40017700p+415, 0x1.9c017d7fb3e20p+358},
{-0x1.000001fffff80p-138, -0x1.fffffc001fffcp-193, -0x1.00001ffff8000p-554, -0x1.00007f001e000p-609, 0x1.ffffc40017700p+415, -0x1.9c017d7fb3e20p+358},
{0x1.00f3ffffff000p-238, 0x1.fff8000000000p-306, 0x1.3dfffffffc000p-529, 0x1.ff000003ffe00p-590, 0x1.9db5efe640c6bp+290, 0x1.d0e9f9b84e302p+236},
{0x1.00f3ffffff000p-238, 0x1.fff8000000000p-306, -0x1.3dfffffffc000p-529, -0x1.ff000003ffe00p-590, -0x1.9db5efe640c6bp+290, -0x1.d0e9f9b84e302p+236},
{-0x1.00f3ffffff000p-238, -0x1.fff8000000000p-306, 0x1.3dfffffffc000p-529, 0x1.ff000003ffe00p-590, -0x1.9db5efe640c6bp+290, -0x1.d0e9f9b84e302p+236},
{-0x1.00f3ffffff000p-238, -0x1.fff8000000000p-306, -0x1.3dfffffffc000p-529, -0x1.ff000003ffe00p-590, 0x1.9db5efe640c6bp+290, 0x1.d0e9f9b84e302p+236},
{0x1.0000001ffff80p-69, 0x1.fffffdfffff8ep-123, 0x1.0000000000000p-311, -0x1.0000000000000p-381, 0x1.0000001ffff81p+242, -0x1.ffff01ffffe72p+188},
{0x1.0000001ffff80p-69, 0x1.fffffdfffff8ep-123, -0x1.0000000000000p-311, 0x1.0000000000000p-381, -0x1.0000001ffff81p+242, 0x1.ffff01ffffe72p+188},
{-0x1.0000001ffff80p-69, -0x1.fffffdfffff8ep-123, 0x1.0000000000000p-311, -0x1.0000000000000p-381, -0x1.0000001ffff81p+242, 0x1.ffff01ffffe72p+188},
{-0x1.0000001ffff80p-69, -0x1.fffffdfffff8ep-123, -0x1.0000000000000p-311, 0x1.0000000000000p-381, 0x1.0000001ffff81p+242, -0x1.ffff01ffffe72p+188},
{0x1.001fffffffe00p-160, 0x0.0000000000000p+0, 0x1.0000002000000p+499, -0x1.0000000000000p+399, 0x1.001fffdffbe00p-659, 0x1.0020ffdffbe40p-713},
{0x1.001fffffffe00p-160, 0x0.0000000000000p+0, -0x1.0000002000000p+499, 0x1.0000000000000p+399, -0x1.001fffdffbe00p-659, -0x1.0020ffdffbe40p-713},
{-0x1.001fffffffe00p-160, 0x0.0000000000000p+0, 0x1.0000002000000p+499, -0x1.0000000000000p+399, -0x1.001fffdffbe00p-659, -0x1.0020ffdffbe40p-713},
{-0x1.001fffffffe00p-160, 0x0.0000000000000p+0, -0x1.0000002000000p+499, 0x1.0000000000000p+399, 0x1.001fffdffbe00p-659, 0x1.0020ffdffbe40p-713},
{0x1.01ffffffe0000p+182, 0x1.c000000200000p+121, 0x1.0001fff800ffep-8, 0x1.c000000000000p-111, 0x1.01fdfc0bf6d61p+190, 0x1.41500c3427868p+136},
{0x1.01ffffffe0000p+182, 0x1.c000000200000p+121, -0x1.0001fff800ffep-8, -0x1.c000000000000p-111, -0x1.01fdfc0bf6d61p+190, -0x1.41500c3427868p+136},
{-0x1.01ffffffe0000p+182, -0x1.c000000200000p+121, 0x1.0001fff800ffep-8, 0x1.c000000000000p-111, -0x1.01fdfc0bf6d61p+190, -0x1.41500c3427868p+136},
{-0x1.01ffffffe0000p+182, -0x1.c000000200000p+121, -0x1.0001fff800ffep-8, -0x1.c000000000000p-111, 0x1.01fdfc0bf6d61p+190, 0x1.41500c3427868p+136},
{0x1.00000007ff800p-868, 0x1.ffff800000000p-956, 0x1.00003fe0c4000p+822, -0x1.fffc032000000p+759, 0x0.0000000000000p+0, 0x0.0000000000000p+0},
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{-0x1.00007fffffe00p-85, -0x1.ffffffc003f00p-146, -0x1.0080000000000p-834, 0x1.0000000000000p-892, 0x1.ff017f405f904p+748, -0x1.df2057e109728p+694},
{0x1.0000200000000p-779, -0x1.0000000000000p-835, 0x1.00000ffffff80p-484, 0x1.ffffff0007ff8p-540, 0x1.00000fffff080p-295, -0x1.77fff803e38b4p-350},
{0x1.0000200000000p-779, -0x1.0000000000000p-835, -0x1.00000ffffff80p-484, -0x1.ffffff0007ff8p-540, -0x1.00000fffff080p-295, 0x1.77fff803e38b4p-350},
{-0x1.0000200000000p-779, 0x1.0000000000000p-835, 0x1.00000ffffff80p-484, 0x1.ffffff0007ff8p-540, -0x1.00000fffff080p-295, 0x1.77fff803e38b4p-350},
{-0x1.0000200000000p-779, 0x1.0000000000000p-835, -0x1.00000ffffff80p-484, -0x1.ffffff0007ff8p-540, 0x1.00000fffff080p-295, -0x1.77fff803e38b4p-350},
{0x1.00fe000000000p-622, 0x1.001ffffff0000p-691, 0x1.00007fffff000p+682, 0x0.0000000000000p+0, 0x0.0000000000000p+0, 0x0.0000000000000p+0},
{0x1.00fe000000000p-622, 0x1.001ffffff0000p-691, -0x1.00007fffff000p+682, 0x0.0000000000000p+0, -0x0.0000000000000p+0, -0x0.0000000000000p+0},
{-0x1.00fe000000000p-622, -0x1.001ffffff0000p-691, 0x1.00007fffff000p+682, 0x0.0000000000000p+0, -0x0.0000000000000p+0, -0x0.0000000000000p+0},
{-0x1.00fe000000000p-622, -0x1.001ffffff0000p-691, -0x1.00007fffff000p+682, 0x0.0000000000000p+0, 0x0.0000000000000p+0, 0x0.0000000000000p+0},
{0x1.01e0000000002p+213, -0x1.fffffffffc200p+154, 0x1.0000080000000p-358, -0x1.0000000000000p-463, 0x1.01dff7f100409p+571, 0x1.ef7ed084099b0p+517},
{0x1.01e0000000002p+213, -0x1.fffffffffc200p+154, -0x1.0000080000000p-358, 0x1.0000000000000p-463, -0x1.01dff7f100409p+571, -0x1.ef7ed084099b0p+517},
{-0x1.01e0000000002p+213, 0x1.fffffffffc200p+154, 0x1.0000080000000p-358, -0x1.0000000000000p-463, -0x1.01dff7f100409p+571, -0x1.ef7ed084099b0p+517},
{-0x1.01e0000000002p+213, 0x1.fffffffffc200p+154, -0x1.0000080000000p-358, 0x1.0000000000000p-463, 0x1.01dff7f100409p+571, 0x1.ef7ed084099b0p+517},
{0x1.000000f1fe001p+66, -0x1.0000000000000p-17, 0x1.00003fffffff0p-433, 0x1.fc00000000000p-510, 0x1.ffff81e41b892p+498, -0x1.b8b120ccd3920p+444},
{0x1.000000f1fe001p+66, -0x1.0000000000000p-17, -0x1.00003fffffff0p-433, -0x1.fc00000000000p-510, -0x1.ffff81e41b892p+498, 0x1.b8b120ccd3920p+444},
{-0x1.000000f1fe001p+66, 0x1.0000000000000p-17, 0x1.00003fffffff0p-433, 0x1.fc00000000000p-510, -0x1.ffff81e41b892p+498, 0x1.b8b120ccd3920p+444},
{-0x1.000000f1fe001p+66, 0x1.0000000000000p-17, -0x1.00003fffffff0p-433, -0x1.fc00000000000p-510, 0x1.ffff81e41b892p+498, -0x1.b8b120ccd3920p+444},
{0x1.0008000000010p+115, -0x1.f8000ffff9000p+50, 0x1.00001ffff0000p-192, 0x1.ffff80001f000p-249, 0x1.0007dfff1401ap+307, -0x1.60516bf0b366cp+253},
{0x1.0008000000010p+115, -0x1.f8000ffff9000p+50, -0x1.00001ffff0000p-192, -0x1.ffff80001f000p-249, -0x1.0007dfff1401ap+307, 0x1.60516bf0b366cp+253},
{-0x1.0008000000010p+115, 0x1.f8000ffff9000p+50, 0x1.00001ffff0000p-192, 0x1.ffff80001f000p-249, -0x1.0007dfff1401ap+307, 0x1.60516bf0b366cp+253},
{-0x1.0008000000010p+115, 0x1.f8000ffff9000p+50, -0x1.00001ffff0000p-192, -0x1.ffff80001f000p-249, 0x1.0007dfff1401ap+307, -0x1.60516bf0b366cp+253},
{0x1.0000100000000p-13, -0x1.0000000000000p-118, 0x1.0038000800000p+253, -0x1.fffffe0000080p+193, 0x1.ff903863adb04p-267, -0x1.6b2c09860d9d8p-323},
{0x1.0000100000000p-13, -0x1.0000000000000p-118, -0x1.0038000800000p+253, 0x1.fffffe0000080p+193, -0x1.ff903863adb04p-267, 0x1.6b2c09860d9d8p-323},
{-0x1.0000100000000p-13, 0x1.0000000000000p-118, 0x1.0038000800000p+253, -0x1.fffffe0000080p+193, -0x1.ff903863adb04p-267, 0x1.6b2c09860d9d8p-323},
{-0x1.0000100000000p-13, 0x1.0000000000000p-118, -0x1.0038000800000p+253, 0x1.fffffe0000080p+193, 0x1.ff903863adb04p-267, -0x1.6b2c09860d9d8p-323},
{0x1.00003fe008000p-845, -0x1.fffdff0000080p-904, 0x1.ffffffffff800p+109, 0x1.fe00000000000p+11, 0x1.00003fe008400p-955, -0x1.803dee8002680p-1014},
{0x1.00003fe008000p-845, -0x1.fffdff0000080p-904, -0x1.ffffffffff800p+109, -0x1.fe00000000000p+11, -0x1.00003fe008400p-955, 0x1.803dee8002680p-1014},
{-0x1.00003fe008000p-845, 0x1.fffdff0000080p-904, 0x1.ffffffffff800p+109, 0x1.fe00000000000p+11, -0x1.00003fe008400p-955, 0x1.803dee8002680p-1014},
{-0x1.00003fe008000p-845, 0x1.fffdff0000080p-904, -0x1.ffffffffff800p+109, -0x1.fe00000000000p+11, 0x1.00003fe008400p-955, -0x1.803dee8002680p-1014},
{0x1.1fffffff00000p-151, 0x1.ffffff8000000p-223, 0x1.0000100000000p-443, -0x1.0000000000000p-537, 0x1.1fffedff01201p+292, -0x1.1fefee00c1200p+232},
{0x1.1fffffff00000p-151, 0x1.ffffff8000000p-223, -0x1.0000100000000p-443, 0x1.0000000000000p-537, -0x1.1fffedff01201p+292, 0x1.1fefee00c1200p+232},
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{0x1.0ffffc0000010p-901, 0x1.f000000ff0000p-970, 0x1.00003ff002010p-855, -0x1.0000020000000p-920, 0x1.0fffb8110fd73p-46, -0x1.2a08548118244p-101},
{0x1.0ffffc0000010p-901, 0x1.f000000ff0000p-970, -0x1.00003ff002010p-855, 0x1.0000020000000p-920, -0x1.0fffb8110fd73p-46, 0x1.2a08548118244p-101},
{-0x1.0ffffc0000010p-901, -0x1.f000000ff0000p-970, 0x1.00003ff002010p-855, -0x1.0000020000000p-920, -0x1.0fffb8110fd73p-46, 0x1.2a08548118244p-101},
{-0x1.0ffffc0000010p-901, -0x1.f000000ff0000p-970, -0x1.00003ff002010p-855, 0x1.0000020000000p-920, 0x1.0fffb8110fd73p-46, -0x1.2a08548118244p-101},
{0x1.00ffffffc0000p+149, 0x1.fffffe00003f0p+94, 0x1.1fffffffff020p-235, -0x1.ffff000400000p-310, 0x1.c8e38e38735a1p+383, 0x1.ba7818263c098p+329},
{0x1.00ffffffc0000p+149, 0x1.fffffe00003f0p+94, -0x1.1fffffffff020p-235, 0x1.ffff000400000p-310, -0x1.c8e38e38735a1p+383, -0x1.ba7818263c098p+329},
{-0x1.00ffffffc0000p+149, -0x1.fffffe00003f0p+94, 0x1.1fffffffff020p-235, -0x1.ffff000400000p-310, -0x1.c8e38e38735a1p+383, -0x1.ba7818263c098p+329},
{-0x1.00ffffffc0000p+149, -0x1.fffffe00003f0p+94, -0x1.1fffffffff020p-235, 0x1.ffff000400000p-310, 0x1.c8e38e38735a1p+383, 0x1.ba7818263c098p+329},
{0x1.0200000000000p+564, -0x1.0000000000000p+511, 0x1.0000700000000p-366, 0x1.ffffffe000000p-437, 0x1.01ff8f203161ep+930, 0x1.329475dfee4e0p+875},
{0x1.0200000000000p+564, -0x1.0000000000000p+511, -0x1.0000700000000p-366, -0x1.ffffffe000000p-437, -0x1.01ff8f203161ep+930, -0x1.329475dfee4e0p+875},
{-0x1.0200000000000p+564, 0x1.0000000000000p+511, 0x1.0000700000000p-366, 0x1.ffffffe000000p-437, -0x1.01ff8f203161ep+930, -0x1.329475dfee4e0p+875},
{-0x1.0200000000000p+564, 0x1.0000000000000p+511, -0x1.0000700000000p-366, -0x1.ffffffe000000p-437, 0x1.01ff8f203161ep+930, 0x1.329475dfee4e0p+875},
{0x1.3fffffc0001fcp+882, 0x1.007fffff00000p+819, 0x1.007fffff80000p-564, 0x1.fffffffe00000p-632, INFINITY, 0x0.0000000000000p+0},
{0x1.3fffffc0001fcp+882, 0x1.007fffff00000p+819, -0x1.007fffff80000p-564, -0x1.fffffffe00000p-632, -INFINITY, 0x0.0000000000000p+0},
{-0x1.3fffffc0001fcp+882, -0x1.007fffff00000p+819, 0x1.007fffff80000p-564, 0x1.fffffffe00000p-632, -INFINITY, 0x0.0000000000000p+0},
{-0x1.3fffffc0001fcp+882, -0x1.007fffff00000p+819, -0x1.007fffff80000p-564, -0x1.fffffffe00000p-632, INFINITY, 0x0.0000000000000p+0},
{0x1.00000ffffffd0p-606, -0x1.ffffff8200000p-672, 0x1.00000c0000004p+258, -0x1.ff80000800000p+190, 0x1.000003ffffcccp-864, 0x1.02fbf43288800p-927},
{0x1.00000ffffffd0p-606, -0x1.ffffff8200000p-672, -0x1.00000c0000004p+258, 0x1.ff80000800000p+190, -0x1.000003ffffcccp-864, -0x1.02fbf43288800p-927},
{-0x1.00000ffffffd0p-606, 0x1.ffffff8200000p-672, 0x1.00000c0000004p+258, -0x1.ff80000800000p+190, -0x1.000003ffffcccp-864, -0x1.02fbf43288800p-927},
{-0x1.00000ffffffd0p-606, 0x1.ffffff8200000p-672, -0x1.00000c0000004p+258, 0x1.ff80000800000p+190, 0x1.000003ffffcccp-864, 0x1.02fbf43288800p-927},
{0x1.18003ffff8000p-770, 0x1.ffffff8000000p-836, 0x1.1ffff80000040p-581, -0x1.0000000000000p-671, 0x1.f1c79c0c99a42p-190, -0x1.672e152d5a5bep-244},
{0x1.18003ffff8000p-770, 0x1.ffffff8000000p-836, -0x1.1ffff80000040p-581, 0x1.0000000000000p-671, -0x1.f1c79c0c99a42p-190, 0x1.672e152d5a5bep-244},
{-0x1.18003ffff8000p-770, -0x1.ffffff8000000p-836, 0x1.1ffff80000040p-581, -0x1.0000000000000p-671, -0x1.f1c79c0c99a42p-190, 0x1.672e152d5a5bep-244},
{-0x1.18003ffff8000p-770, -0x1.ffffff8000000p-836, -0x1.1ffff80000040p-581, 0x1.0000000000000p-671, 0x1.f1c79c0c99a42p-190, -0x1.672e152d5a5bep-244},
{0x1.0ffffff9ffff0p+390, 0x1.f800008200000p+320, 0x1.000000ffffff8p+202, 0x1.ff0000007ffc0p+143, 0x1.0ffffeea0000ap+188, -0x1.21eba43b6d104p+133},
{0x1.0ffffff9ffff0p+390, 0x1.f800008200000p+320, -0x1.000000ffffff8p+202, -0x1.ff0000007ffc0p+143, -0x1.0ffffeea0000ap+188, 0x1.21eba43b6d104p+133},
{-0x1.0ffffff9ffff0p+390, -0x1.f800008200000p+320, 0x1.000000ffffff8p+202, 0x1.ff0000007ffc0p+143, -0x1.0ffffeea0000ap+188, 0x1.21eba43b6d104p+133},
{-0x1.0ffffff9ffff0p+390, -0x1.f800008200000p+320, -0x1.000000ffffff8p+202, -0x1.ff0000007ffc0p+143, 0x1.0ffffeea0000ap+188, -0x1.21eba43b6d104p+133},
{0x1.1fffffe000000p-899, 0x1.ffff800001ffep-953, 0x1.0000008000000p-864, -0x1.fffffc0000008p-920, 0x1.1fffff5000006p-35, 0x1.1ffee480048f8p-90},
{0x1.1fffffe000000p-899, 0x1.ffff800001ffep-953, -0x1.0000008000000p-864, 0x1.fffffc0000008p-920, -0x1.1fffff5000006p-35, -0x1.1ffee480048f8p-90},
{-0x1.1fffffe000000p-899, -0x1.ffff800001ffep-953, 0x1.0000008000000p-864, -0x1.fffffc0000008p-920, -0x1.1fffff5000006p-35, -0x1.1ffee480048f8p-90},
{-0x1.1fffffe000000p-899, -0x1.ffff800001ffep-953, -0x1.0000008000000p-864, 0x1.fffffc0000008p-920, 0x1.1fffff5000006p-35, 0x1.1ffee480048f8p-90},
{0x1.0000200000000p-148, -0x1.fffffff804000p-215, 0x1.0000080000000p+818, -0x1.0000000000000p+723, 0x1.000017ffff400p-966, 0x1.6ffff480c0400p-1028},
{0x1.0000200000000p-148, -0x1.fffffff804000p-215, -0x1.0000080000000p+818, 0x1.0000000000000p+723, -0x1.000017ffff400p-966, -0x1.6ffff480c0400p-1028},
{-0x1.0000200000000p-148, 0x1.fffffff804000p-215, 0x1.0000080000000p+818, -0x1.0000000000000p+723, -0x1.000017ffff400p-966, -0x1.6ffff480c0400p-1028},
{-0x1.0000200000000p-148, 0x1.fffffff804000p-215, -0x1.0000080000000p+818, 0x1.0000000000000p+723, 0x1.000017ffff400p-966, 0x1.6ffff480c0400p-1028},
{0x1.03ffff0000010p+113, -0x1.fffc010000000p+37, 0x1.0000020000000p+293, -0x1.0000000000000p+188, 0x1.03fffcf800071p-180, -0x1.c7fff471f0000p-249},
{0x1.03ffff0000010p+113, -0x1.fffc010000000p+37, -0x1.0000020000000p+293, 0x1.0000000000000p+188, -0x1.03fffcf800071p-180, 0x1.c7fff471f0000p-249},
{-0x1.03ffff0000010p+113, 0x1.fffc010000000p+37, 0x1.0000020000000p+293, -0x1.0000000000000p+188, -0x1.03fffcf800071p-180, 0x1.c7fff471f0000p-249},
{-0x1.03ffff0000010p+113, 0x1.fffc010000000p+37, -0x1.0000020000000p+293, 0x1.0000000000000p+188, 0x1.03fffcf800071p-180, -0x1.c7fff471f0000p-249},
{0x1.7ffffffc00000p-873, 0x1.fff80000fc000p-934, 0x1.0010000000000p+21, -0x1.ffffffffc4000p-46, 0x1.7fe8017be8418p-894, -0x1.01d7f400a641ep-948},
{0x1.7ffffffc00000p-873, 0x1.fff80000fc000p-934, -0x1.0010000000000p+21, 0x1.ffffffffc4000p-46, -0x1.7fe8017be8418p-894, 0x1.01d7f400a641ep-948},
{-0x1.7ffffffc00000p-873, -0x1.fff80000fc000p-934, 0x1.0010000000000p+21, -0x1.ffffffffc4000p-46, -0x1.7fe8017be8418p-894, 0x1.01d7f400a641ep-948},
{-0x1.7ffffffc00000p-873, -0x1.fff80000fc000p-934, -0x1.0010000000000p+21, 0x1.ffffffffc4000p-46, 0x1.7fe8017be8418p-894, -0x1.01d7f400a641ep-948},
{0x1.000007fffc004p-531, -0x1.8000004000000p-590, 0x1.7fe000001ff00p+464, 0x1.f000000000000p+363, 0x1.5571d426e1829p-996, -0x1.e917b80000000p-1050},
{0x1.000007fffc004p-531, -0x1.8000004000000p-590, -0x1.7fe000001ff00p+464, -0x1.f000000000000p+363, -0x1.5571d426e1829p-996, 0x1.e917b80000000p-1050},
{-0x1.000007fffc004p-531, 0x1.8000004000000p-590, 0x1.7fe000001ff00p+464, 0x1.f000000000000p+363, -0x1.5571d426e1829p-996, 0x1.e917b80000000p-1050},
{-0x1.000007fffc004p-531, 0x1.8000004000000p-590, -0x1.7fe000001ff00p+464, -0x1.f000000000000p+363, 0x1.5571d426e1829p-996, -0x1.e917b80000000p-1050},
{0x1.01ffffffffc00p+132, 0x0.0000000000000p+0, 0x1.0ffffff000000p+156, 0x1.fffffff000000p+86, 0x1.e5a5a5c236733p-25, -0x1.9d54b36e3ce32p-79},
{0x1.01ffffffffc00p+132, 0x0.0000000000000p+0, -0x1.0ffffff000000p+156, -0x1.fffffff000000p+86, -0x1.e5a5a5c236733p-25, 0x1.9d54b36e3ce32p-79},
{-0x1.01ffffffffc00p+132, 0x0.0000000000000p+0, 0x1.0ffffff000000p+156, 0x1.fffffff000000p+86, -0x1.e5a5a5c236733p-25, 0x1.9d54b36e3ce32p-79},
{-0x1.01ffffffffc00p+132, 0x0.0000000000000p+0, -0x1.0ffffff000000p+156, -0x1.fffffff000000p+86, 0x1.e5a5a5c236733p-25, -0x1.9d54b36e3ce32p-79},
{0x1.0000010000000p-428, -0x1.ffffffffe4000p-490, 0x1.0000020000000p-498, -0x1.ff80000100000p-571, 0x1.fffffe0000040p+69, -0x1.006005ff51e00p+9},
{0x1.0000010000000p-428, -0x1.ffffffffe4000p-490, -0x1.0000020000000p-498, 0x1.ff80000100000p-571, -0x1.fffffe0000040p+69, 0x1.006005ff51e00p+9},
{-0x1.0000010000000p-428, 0x1.ffffffffe4000p-490, 0x1.0000020000000p-498, -0x1.ff80000100000p-571, -0x1.fffffe0000040p+69, 0x1.006005ff51e00p+9},
{-0x1.0000010000000p-428, 0x1.ffffffffe4000p-490, -0x1.0000020000000p-498, 0x1.ff80000100000p-571, 0x1.fffffe0000040p+69, -0x1.006005ff51e00p+9},
{0x1.0008000000000p+313, -0x1.0000000000000p+208, 0x1.000fffff80000p+721, 0x1.fffffffc00000p+665, 0x1.fff00100efe90p-409, -0x1.07a38c84ab908p-464},
{0x1.0008000000000p+313, -0x1.0000000000000p+208, -0x1.000fffff80000p+721, -0x1.fffffffc00000p+665, -0x1.fff00100efe90p-409, 0x1.07a38c84ab908p-464},
{-0x1.0008000000000p+313, 0x1.0000000000000p+208, 0x1.000fffff80000p+721, 0x1.fffffffc00000p+665, -0x1.fff00100efe90p-409, 0x1.07a38c84ab908p-464},
{-0x1.0008000000000p+313, 0x1.0000000000000p+208, -0x1.000fffff80000p+721, -0x1.fffffffc00000p+665, 0x1.fff00100efe90p-409, -0x1.07a38c84ab908p-464},
{0x1.007fffffffc00p+944, 0x1.ffffc00000000p+879, 0x1.1ffffffff8000p-208, 0x1.fe001ffffffe0p-264, INFINITY, 0x0.0000000000000p+0},
{0x1.007fffffffc00p+944, 0x1.ffffc00000000p+879, -0x1.1ffffffff8000p-208, -0x1.fe001ffffffe0p-264, -INFINITY, 0x0.0000000000000p+0},
{-0x1.007fffffffc00p+944, -0x1.ffffc00000000p+879, 0x1.1ffffffff8000p-208, 0x1.fe001ffffffe0p-264, -INFINITY, 0x0.0000000000000p+0},
{-0x1.007fffffffc00p+944, -0x1.ffffc00000000p+879, -0x1.1ffffffff8000p-208, -0x1.fe001ffffffe0p-264, INFINITY, 0x0.0000000000000p+0},
{0x1.0000000fffe00p+879, 0x1.3fffff87fc000p+819, 0x1.00003ffffc000p-310, 0x1.e003ff8000000p-375, INFINITY, 0x0.0000000000000p+0},
{0x1.0000000fffe00p+879, 0x1.3fffff87fc000p+819, -0x1.00003ffffc000p-310, -0x1.e003ff8000000p-375, -INFINITY, 0x0.0000000000000p+0},
{-0x1.0000000fffe00p+879, -0x1.3fffff87fc000p+819, 0x1.00003ffffc000p-310, 0x1.e003ff8000000p-375, -INFINITY, 0x0.0000000000000p+0},
{-0x1.0000000fffe00p+879, -0x1.3fffff87fc000p+819, -0x1.00003ffffc000p-310, -0x1.e003ff8000000p-375, INFINITY, 0x0.0000000000000p+0},
{0x1.0000000800000p-526, -0x1.0000000000000p-631, 0x1.7ffff80000000p-359, 0x1.ffffffffe0000p-415, 0x1.55555c7c71ed4p-168, 0x1.30ff0fb9aebd0p-225},
{0x1.0000000800000p-526, -0x1.0000000000000p-631, -0x1.7ffff80000000p-359, -0x1.ffffffffe0000p-415, -0x1.55555c7c71ed4p-168, -0x1.30ff0fb9aebd0p-225},
{-0x1.0000000800000p-526, 0x1.0000000000000p-631, 0x1.7ffff80000000p-359, 0x1.ffffffffe0000p-415, -0x1.55555c7c71ed4p-168, -0x1.30ff0fb9aebd0p-225},
{-0x1.0000000800000p-526, 0x1.0000000000000p-631, -0x1.7ffff80000000p-359, -0x1.ffffffffe0000p-415, 0x1.55555c7c71ed4p-168, 0x1.30ff0fb9aebd0p-225},
{0x1.00fffffff8000p-357, 0x1.fffe000000000p-431, 0x1.0000100000000p-423, -0x1.fffffffffc100p-478, 0x1.00ffefeff9010p+66, 0x1.1cfbfe2017250p+12},
{0x1.00fffffff8000p-357, 0x1.fffe000000000p-431, -0x1.0000100000000p-423, 0x1.fffffffffc100p-478, -0x1.00ffefeff9010p+66, -0x1.1cfbfe2017250p+12},
{-0x1.00fffffff8000p-357, -0x1.fffe000000000p-431, 0x1.0000100000000p-423, -0x1.fffffffffc100p-478, -0x1.00ffefeff9010p+66, -0x1.1cfbfe2017250p+12},
{-0x1.00fffffff8000p-357, -0x1.fffe000000000p-431, -0x1.0000100000000p-423, 0x1.fffffffffc100p-478, 0x1.00ffefeff9010p+66, 0x1.1cfbfe2017250p+12},
{0x1.0007ffffffff0p-319, 0x1.fffffc0000000p-402, 0x1.0003800000080p-931, -0x1.0000000000000p-1036, 0x1.00047ff0402e2p+612, -0x1.8ad99d893a930p+555},
{0x1.0007ffffffff0p-319, 0x1.fffffc0000000p-402, -0x1.0003800000080p-931, 0x1.0000000000000p-1036, -0x1.00047ff0402e2p+612, 0x1.8ad99d893a930p+555},
{-0x1.0007ffffffff0p-319, -0x1.fffffc0000000p-402, 0x1.0003800000080p-931, -0x1.0000000000000p-1036, -0x1.00047ff0402e2p+612, 0x1.8ad99d893a930p+555},
{-0x1.0007ffffffff0p-319, -0x1.fffffc0000000p-402, -0x1.0003800000080p-931, 0x1.0000000000000p-1036, 0x1.00047ff0402e2p+612, -0x1.8ad99d893a930p+555},
{0x1.000001fffff80p-279, 0x1.ff00000000000p-363, 0x1.0000020000000p-640, -0x1.8002000000000p-716, 0x1.fffffffffff00p+360, 0x1.0181fefcfc000p+293},
{0x1.000001fffff80p-279, 0x1.ff00000000000p-363, -0x1.0000020000000p-640, 0x1.8002000000000p-716, -0x1.fffffffffff00p+360, -0x1.0181fefcfc000p+293},
{-0x1.000001fffff80p-279, -0x1.ff00000000000p-363, 0x1.0000020000000p-640, -0x1.8002000000000p-716, -0x1.fffffffffff00p+360, -0x1.0181fefcfc000p+293},
{-0x1.000001fffff80p-279, -0x1.ff00000000000p-363, -0x1.0000020000000p-640, 0x1.8002000000000p-716, 0x1.fffffffffff00p+360, 0x1.0181fefcfc000p+293},
{0x1.0003fffff0000p+964, 0x1.ffff800007f80p+904, 0x1.000007ffffe00p+308, -0x1.fe0c000004000p+250, 0x1.0003f7ffd0600p+656, 0x1.4dc26b9fd5b00p+601},
{0x1.0003fffff0000p+964, 0x1.ffff800007f80p+904, -0x1.000007ffffe00p+308, 0x1.fe0c000004000p+250, -0x1.0003f7ffd0600p+656, -0x1.4dc26b9fd5b00p+601},
{-0x1.0003fffff0000p+964, -0x1.ffff800007f80p+904, 0x1.000007ffffe00p+308, -0x1.fe0c000004000p+250, -0x1.0003f7ffd0600p+656, -0x1.4dc26b9fd5b00p+601},
{-0x1.0003fffff0000p+964, -0x1.ffff800007f80p+904, -0x1.000007ffffe00p+308, 0x1.fe0c000004000p+250, 0x1.0003f7ffd0600p+656, 0x1.4dc26b9fd5b00p+601},
{0x1.00000003f0000p+137, 0x1.ffffffe000000p+59, 0x1.0100000000000p+110, -0x1.fffffff000080p+50, 0x1.fe01fe09d629dp+26, 0x1.9a55be319d934p-28},
{0x1.00000003f0000p+137, 0x1.ffffffe000000p+59, -0x1.0100000000000p+110, 0x1.fffffff000080p+50, -0x1.fe01fe09d629dp+26, -0x1.9a55be319d934p-28},
{-0x1.00000003f0000p+137, -0x1.ffffffe000000p+59, 0x1.0100000000000p+110, -0x1.fffffff000080p+50, -0x1.fe01fe09d629dp+26, -0x1.9a55be319d934p-28},
{-0x1.00000003f0000p+137, -0x1.ffffffe000000p+59, -0x1.0100000000000p+110, 0x1.fffffff000080p+50, 0x1.fe01fe09d629dp+26, 0x1.9a55be319d934p-28},
{0x1.007fffffffc00p+472, 0x1.fffffe0000000p+390, 0x1.0000003fffff8p-373, 0x1.fffff80000000p-444, 0x1.007fffbfdfc09p+845, 0x1.202ee977b9860p+787},
{0x1.007fffffffc00p+472, 0x1.fffffe0000000p+390, -0x1.0000003fffff8p-373, -0x1.fffff80000000p-444, -0x1.007fffbfdfc09p+845, -0x1.202ee977b9860p+787},
{-0x1.007fffffffc00p+472, -0x1.fffffe0000000p+390, 0x1.0000003fffff8p-373, 0x1.fffff80000000p-444, -0x1.007fffbfdfc09p+845, -0x1.202ee977b9860p+787},
{-0x1.007fffffffc00p+472, -0x1.fffffe0000000p+390, -0x1.0000003fffff8p-373, -0x1.fffff80000000p-444, 0x1.007fffbfdfc09p+845, 0x1.202ee977b9860p+787},
{0x1.00000003ff000p+517, 0x1.ffffff0000000p+455, 0x1.0000ffff80000p+482, 0x1.e0000000fffc0p+423, 0x1.fffe000afdf40p+34, 0x1.a97dc87838c28p-22},
{0x1.00000003ff000p+517, 0x1.ffffff0000000p+455, -0x1.0000ffff80000p+482, -0x1.e0000000fffc0p+423, -0x1.fffe000afdf40p+34, -0x1.a97dc87838c28p-22},
{-0x1.00000003ff000p+517, -0x1.ffffff0000000p+455, 0x1.0000ffff80000p+482, 0x1.e0000000fffc0p+423, -0x1.fffe000afdf40p+34, -0x1.a97dc87838c28p-22},
{-0x1.00000003ff000p+517, -0x1.ffffff0000000p+455, -0x1.0000ffff80000p+482, -0x1.e0000000fffc0p+423, 0x1.fffe000afdf40p+34, 0x1.a97dc87838c28p-22},
{0x1.007ffffffc000p-870, 0x1.ffffff8000000p-937, 0x1.0003fffffffe0p-380, 0x1.fffffff000780p-440, 0x1.007bfe1003c1fp-490, 0x1.d0655eb0f91c0p-546},
{0x1.007ffffffc000p-870, 0x1.ffffff8000000p-937, -0x1.0003fffffffe0p-380, -0x1.fffffff000780p-440, -0x1.007bfe1003c1fp-490, -0x1.d0655eb0f91c0p-546},
{-0x1.007ffffffc000p-870, -0x1.ffffff8000000p-937, 0x1.0003fffffffe0p-380, 0x1.fffffff000780p-440, -0x1.007bfe1003c1fp-490, -0x1.d0655eb0f91c0p-546},
{-0x1.007ffffffc000p-870, -0x1.ffffff8000000p-937, -0x1.0003fffffffe0p-380, -0x1.fffffff000780p-440, 0x1.007bfe1003c1fp-490, 0x1.d0655eb0f91c0p-546},
{0x1.07fffffe0003cp+175, 0x1.ffe000007f000p+110, 0x1.1ffff00800000p-290, -0x1.0000000000000p-387, 0x1.d5556f57b59dcp+464, 0x1.ea436d67e8132p+410},
{0x1.07fffffe0003cp+175, 0x1.ffe000007f000p+110, -0x1.1ffff00800000p-290, 0x1.0000000000000p-387, -0x1.d5556f57b59dcp+464, -0x1.ea436d67e8132p+410},
{-0x1.07fffffe0003cp+175, -0x1.ffe000007f000p+110, 0x1.1ffff00800000p-290, -0x1.0000000000000p-387, -0x1.d5556f57b59dcp+464, -0x1.ea436d67e8132p+410},
{-0x1.07fffffe0003cp+175, -0x1.ffe000007f000p+110, -0x1.1ffff00800000p-290, 0x1.0000000000000p-387, 0x1.d5556f57b59dcp+464, 0x1.ea436d67e8132p+410},
{0x1.000003fff8000p+401, 0x1.ffff00000003cp+346, 0x1.000001ffff020p+721, -0x1.fff0000200000p+651, 0x1.000001fff8fa0p-320, 0x1.04037c2a010d6p-374},
{0x1.000003fff8000p+401, 0x1.ffff00000003cp+346, -0x1.000001ffff020p+721, 0x1.fff0000200000p+651, -0x1.000001fff8fa0p-320, -0x1.04037c2a010d6p-374},
{-0x1.000003fff8000p+401, -0x1.ffff00000003cp+346, 0x1.000001ffff020p+721, -0x1.fff0000200000p+651, -0x1.000001fff8fa0p-320, -0x1.04037c2a010d6p-374},
{-0x1.000003fff8000p+401, -0x1.ffff00000003cp+346, -0x1.000001ffff020p+721, 0x1.fff0000200000p+651, 0x1.000001fff8fa0p-320, 0x1.04037c2a010d6p-374},
{0x1.00ffe00000000p-249, 0x1.fe00000000000p-309, 0x1.0000100000000p+516, -0x1.ffff800010000p+447, 0x1.00ffcff003010p-765, -0x1.01fef05060e00p-825},
{0x1.00ffe00000000p-249, 0x1.fe00000000000p-309, -0x1.0000100000000p+516, 0x1.ffff800010000p+447, -0x1.00ffcff003010p-765, 0x1.01fef05060e00p-825},
{-0x1.00ffe00000000p-249, -0x1.fe00000000000p-309, 0x1.0000100000000p+516, -0x1.ffff800010000p+447, -0x1.00ffcff003010p-765, 0x1.01fef05060e00p-825},
{-0x1.00ffe00000000p-249, -0x1.fe00000000000p-309, -0x1.0000100000000p+516, 0x1.ffff800010000p+447, 0x1.00ffcff003010p-765, -0x1.01fef05060e00p-825},
{0x1.fffffff000008p-375, -0x1.ffffff1000000p-452, 0x1.0001fffffff80p-412, 0x1.fffe000000000p-497, 0x1.fffbfff800208p+37, -0x1.83fe387f7d700p-21},
{0x1.fffffff000008p-375, -0x1.ffffff1000000p-452, -0x1.0001fffffff80p-412, -0x1.fffe000000000p-497, -0x1.fffbfff800208p+37, 0x1.83fe387f7d700p-21},
{-0x1.fffffff000008p-375, 0x1.ffffff1000000p-452, 0x1.0001fffffff80p-412, 0x1.fffe000000000p-497, -0x1.fffbfff800208p+37, 0x1.83fe387f7d700p-21},
{-0x1.fffffff000008p-375, 0x1.ffffff1000000p-452, -0x1.0001fffffff80p-412, -0x1.fffe000000000p-497, 0x1.fffbfff800208p+37, -0x1.83fe387f7d700p-21},
};
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_qdiv(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;
}