void
run_inf_opt_test(double d)
{
test("optimizations don't break infinities",
fpequal(d / d, NAN) && fpequal(0.0 * d, NAN));
}
void
run_zero_opt_test(double d1, double d2)
{
test("optimizations don't break the sign of 0",
fpequal(d1 - d2, 0.0)
&& fpequal(-d1 + 0.0, 0.0)
&& fpequal(-d1 - d2, -0.0)
&& fpequal(-(d1 - d2), -0.0)
&& fpequal(-d1 - (-d2), 0.0));
}
static void
_testl(const char *exp, int line, long double actual, long double expected,
int except)
{
int actual_except;
actual_except = fetestexcept(ALL_STD_EXCEPT);
if (!fpequal(actual, expected)) {
fprintf(stderr, "%d: %s returned %La, expecting %La\n",
line, exp, actual, expected);
abort();
}
if (actual_except != except) {
fprintf(stderr, "%d: %s raised 0x%x, expecting 0x%x\n",
line, exp, actual_except, except);
abort();
}
}
static void testit(int testnum, float in, float out)
{
feclearexcept(ALL_STD_EXCEPT);
assert(fpequal(out, nearbyintf(in)));
assert(fpequal(-out, nearbyintf(-in)));
assert(fetestexcept(ALL_STD_EXCEPT) == 0);
assert(fpequal(out, nearbyint(in)));
assert(fpequal(-out, nearbyint(-in)));
assert(fetestexcept(ALL_STD_EXCEPT) == 0);
assert(fpequal(out, nearbyintl(in)));
assert(fpequal(-out, nearbyintl(-in)));
assert(fetestexcept(ALL_STD_EXCEPT) == 0);
printf("ok %d\t\t# nearbyint(%g)\n", testnum, in);
}
static int
cfpequal(long double complex x, long double complex y, int checksign)
{
return (fpequal(creal(x), creal(y), checksign & CS_REAL)
&& fpequal(cimag(x), cimag(y), checksign & CS_IMAG));
}
void
run_tests(void)
{
volatile long double vld;
long double ld;
volatile double vd;
double d;
volatile float vf;
float f;
int x;
test("sign bits", fpequal(-0.0, -0.0) && !fpequal(0.0, -0.0));
vd = NAN;
test("NaN equality", fpequal(NAN, NAN) && NAN != NAN && vd != vd);
feclearexcept(ALL_STD_EXCEPT);
test("NaN comparison returns false", !(vd <= vd));
/*
* XXX disabled; gcc/amd64 botches this IEEE 754 requirement by
* emitting ucomisd instead of comisd.
*/
skiptest("FENV_ACCESS: NaN comparison raises invalid exception",
fetestexcept(ALL_STD_EXCEPT) == FE_INVALID);
vd = 0.0;
run_zero_opt_test(vd, vd);
vd = INFINITY;
run_inf_opt_test(vd);
feclearexcept(ALL_STD_EXCEPT);
vd = INFINITY;
x = (int)vd;
/* XXX disabled (works with -O0); gcc doesn't support FENV_ACCESS */
skiptest("FENV_ACCESS: Inf->int conversion raises invalid exception",
fetestexcept(ALL_STD_EXCEPT) == FE_INVALID);
/* Raising an inexact exception here is an IEEE-854 requirement. */
feclearexcept(ALL_STD_EXCEPT);
vd = 0.75;
x = (int)vd;
test("0.75->int conversion rounds toward 0, raises inexact exception",
x == 0 && fetestexcept(ALL_STD_EXCEPT) == FE_INEXACT);
feclearexcept(ALL_STD_EXCEPT);
vd = -42.0;
x = (int)vd;
test("-42.0->int conversion is exact, raises no exception",
x == -42 && fetestexcept(ALL_STD_EXCEPT) == 0);
feclearexcept(ALL_STD_EXCEPT);
x = (int)INFINITY;
/* XXX disabled; gcc doesn't support FENV_ACCESS */
skiptest("FENV_ACCESS: const Inf->int conversion raises invalid",
fetestexcept(ALL_STD_EXCEPT) == FE_INVALID);
feclearexcept(ALL_STD_EXCEPT);
x = (int)0.5;
/* XXX disabled; gcc doesn't support FENV_ACCESS */
skiptest("FENV_ACCESS: const double->int conversion raises inexact",
x == 0 && fetestexcept(ALL_STD_EXCEPT) == FE_INEXACT);
test("compile-time constants don't have too much precision",
one_f == 1.0L && one_d == 1.0L && one_ld == 1.0L);
test("const minimum rounding precision",
1.0F + FLT_EPSILON != 1.0F &&
1.0 + DBL_EPSILON != 1.0 &&
1.0L + LDBL_EPSILON != 1.0L);
/* It isn't the compiler's fault if this fails on FreeBSD/i386. */
vf = FLT_EPSILON;
vd = DBL_EPSILON;
vld = LDBL_EPSILON;
test("runtime minimum rounding precision",
1.0F + vf != 1.0F && 1.0 + vd != 1.0 && 1.0L + vld != 1.0L);
test("explicit float to float conversion discards extra precision",
(float)(1.0F + FLT_EPSILON * 0.5F) == 1.0F &&
(float)(1.0F + vf * 0.5F) == 1.0F);
test("explicit double to float conversion discards extra precision",
(float)(1.0 + FLT_EPSILON * 0.5) == 1.0F &&
(float)(1.0 + vf * 0.5) == 1.0F);
test("explicit ldouble to float conversion discards extra precision",
(float)(1.0L + FLT_EPSILON * 0.5L) == 1.0F &&
(float)(1.0L + vf * 0.5L) == 1.0F);
test("explicit double to double conversion discards extra precision",
(double)(1.0 + DBL_EPSILON * 0.5) == 1.0 &&
(double)(1.0 + vd * 0.5) == 1.0);
test("explicit ldouble to double conversion discards extra precision",
(double)(1.0L + DBL_EPSILON * 0.5L) == 1.0 &&
(double)(1.0L + vd * 0.5L) == 1.0);
/*
* FLT_EVAL_METHOD > 1 implies that float expressions are always
* evaluated in double precision or higher, but some compilers get
* this wrong when registers spill to memory. The following expression
* forces a spill when there are at most 8 FP registers.
*/
test("implicit promption to double or higher precision is consistent",
#if FLT_EVAL_METHOD == 1 || FLT_EVAL_METHOD == 2 || defined(__i386__)
TWICE(TWICE(TWICE(TWICE(TWICE(
TWICE(TWICE(TWICE(TWICE(1.0F + vf * 0.5F)))))))))
== (1.0 + FLT_EPSILON * 0.5) * 512.0
#else
1
#endif
);
f = 1.0 + FLT_EPSILON * 0.5;
d = 1.0L + DBL_EPSILON * 0.5L;
test("const assignment discards extra precision", f == 1.0F && d == 1.0);
f = 1.0 + vf * 0.5;
d = 1.0L + vd * 0.5L;
test("variable assignment discards explicit extra precision",
f == 1.0F && d == 1.0);
f = 1.0F + vf * 0.5F;
d = 1.0 + vd * 0.5;
test("variable assignment discards implicit extra precision",
f == 1.0F && d == 1.0);
test("return discards extra precision",
tofloat(1.0 + vf * 0.5) == 1.0F &&
todouble(1.0L + vd * 0.5L) == 1.0);
fesetround(FE_UPWARD);
/* XXX disabled (works with -frounding-math) */
skiptest("FENV_ACCESS: constant arithmetic respects rounding mode",
1.0F + FLT_MIN == 1.0F + FLT_EPSILON &&
1.0 + DBL_MIN == 1.0 + DBL_EPSILON &&
1.0L + LDBL_MIN == 1.0L + LDBL_EPSILON);
fesetround(FE_TONEAREST);
ld = vld * 0.5;
test("associativity is respected",
1.0L + ld + (LDBL_EPSILON * 0.5) == 1.0L &&
1.0L + (LDBL_EPSILON * 0.5) + ld == 1.0L &&
ld + 1.0 + (LDBL_EPSILON * 0.5) == 1.0L &&
ld + (LDBL_EPSILON * 0.5) + 1.0 == 1.0L + LDBL_EPSILON);
}
int
main(int argc, char *argv[])
{
static const int ntests = sizeof(tests) / sizeof(tests[0]) / 2;
complex float in;
complex long double expected;
int i;
printf("1..%d\n", ntests * 3);
for (i = 0; i < ntests; i++) {
__real__ expected = __real__ in = tests[2 * i];
__imag__ in = tests[2 * i + 1];
__imag__ expected = -cimag(in);
assert(fpequal(libcrealf(in), __real__ in));
assert(fpequal(libcreal(in), __real__ in));
assert(fpequal(libcreall(in), __real__ in));
assert(fpequal(libcimagf(in), __imag__ in));
assert(fpequal(libcimag(in), __imag__ in));
assert(fpequal(libcimagl(in), __imag__ in));
feclearexcept(FE_ALL_EXCEPT);
if (!cfpequal(libconjf(in), expected)) {
printf("not ok %d\t# conjf(%#.2g + %#.2gI): "
"wrong value\n",
3 * i + 1, creal(in), cimag(in));
} else if (fetestexcept(FE_ALL_EXCEPT)) {
printf("not ok %d\t# conjf(%#.2g + %#.2gI): "
"threw an exception\n",
3 * i + 1, creal(in), cimag(in));
} else {
printf("ok %d\t\t# conjf(%#.2g + %#.2gI)\n",
3 * i + 1, creal(in), cimag(in));
}
feclearexcept(FE_ALL_EXCEPT);
if (!cfpequal(libconj(in), expected)) {
printf("not ok %d\t# conj(%#.2g + %#.2gI): "
"wrong value\n",
3 * i + 2, creal(in), cimag(in));
} else if (fetestexcept(FE_ALL_EXCEPT)) {
printf("not ok %d\t# conj(%#.2g + %#.2gI): "
"threw an exception\n",
3 * i + 2, creal(in), cimag(in));
} else {
printf("ok %d\t\t# conj(%#.2g + %#.2gI)\n",
3 * i + 2, creal(in), cimag(in));
}
feclearexcept(FE_ALL_EXCEPT);
if (!cfpequal(libconjl(in), expected)) {
printf("not ok %d\t# conjl(%#.2g + %#.2gI): "
"wrong value\n",
3 * i + 3, creal(in), cimag(in));
} else if (fetestexcept(FE_ALL_EXCEPT)) {
printf("not ok %d\t# conjl(%#.2g + %#.2gI): "
"threw an exception\n",
3 * i + 3, creal(in), cimag(in));
} else {
printf("ok %d\t\t# conjl(%#.2g + %#.2gI)\n",
3 * i + 3, creal(in), cimag(in));
}
}
return (0);
}