/* Tests for 0 */
void
test_zero(void)
{
long double complex zero = cpackl(0.0, 0.0);
/* csinh(0) = ctanh(0) = 0; ccosh(0) = 1 (no exceptions raised) */
testall_odd(csinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH);
testall_odd(csin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH);
testall_even(ccosh, zero, 1.0, ALL_STD_EXCEPT, 0, CS_BOTH);
testall_even(ccos, zero, cpackl(1.0, -0.0), ALL_STD_EXCEPT, 0, CS_BOTH);
testall_odd(ctanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH);
testall_odd(ctan, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH);
}
/* Test inputs that might cause overflow in a sloppy implementation. */
void
test_large(void)
{
long double complex z;
/* tanh() uses a threshold around x=22, so check both sides. */
z = cpackl(21, 0.78539816339744830961566084581987572L);
testall_odd_tol(ctanh, z,
cpackl(1.0, 1.14990445285871196133287617611468468e-18L), 1);
z++;
testall_odd_tol(ctanh, z,
cpackl(1.0, 1.55622644822675930314266334585597964e-19L), 1);
z = cpackl(355, 0.78539816339744830961566084581987572L);
testall_odd_tol(ctanh, z,
cpackl(1.0, 8.95257245135025991216632140458264468e-309L), 1);
z = cpackl(30, 0x1p1023L);
testall_odd_tol(ctanh, z,
cpackl(1.0, -1.62994325413993477997492170229268382e-26L), 1);
z = cpackl(1, 0x1p1023L);
testall_odd_tol(ctanh, z,
cpackl(0.878606311888306869546254022621986509L,
-0.225462792499754505792678258169527424L), 1);
z = cpackl(710.6, 0.78539816339744830961566084581987572L);
testall_odd_tol(csinh, z,
cpackl(1.43917579766621073533185387499658944e308L,
1.43917579766621073533185387499658944e308L), 1);
testall_even_tol(ccosh, z,
cpackl(1.43917579766621073533185387499658944e308L,
1.43917579766621073533185387499658944e308L), 1);
z = cpackl(1500, 0.78539816339744830961566084581987572L);
testall_odd(csinh, z, cpackl(INFINITY, INFINITY), OPT_INEXACT,
FE_OVERFLOW, CS_BOTH);
testall_even(ccosh, z, cpackl(INFINITY, INFINITY), OPT_INEXACT,
FE_OVERFLOW, CS_BOTH);
}
void
test_inf(void)
{
static const long double finites[] = {
0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4,
};
long double complex z, c, s;
int i;
/*
* IN CSINH CCOSH CTANH
* Inf,Inf +-Inf,NaN inval +-Inf,NaN inval 1,+-0
* Inf,finite Inf cis(finite) Inf cis(finite) 1,0 sin(2 finite)
* 0,Inf +-0,NaN inval NaN,+-0 inval NaN,NaN inval
* finite,Inf NaN,NaN inval NaN,NaN inval NaN,NaN inval
*/
z = cpackl(INFINITY, INFINITY);
testall_odd(csinh, z, cpackl(INFINITY, NAN),
ALL_STD_EXCEPT, FE_INVALID, 0);
testall_even(ccosh, z, cpackl(INFINITY, NAN),
ALL_STD_EXCEPT, FE_INVALID, 0);
testall_odd(ctanh, z, cpackl(1, 0), ALL_STD_EXCEPT, 0, CS_REAL);
testall_odd(csin, z, cpackl(NAN, INFINITY),
ALL_STD_EXCEPT, FE_INVALID, 0);
testall_even(ccos, z, cpackl(INFINITY, NAN),
ALL_STD_EXCEPT, FE_INVALID, 0);
testall_odd(ctan, z, cpackl(0, 1), ALL_STD_EXCEPT, 0, CS_REAL);
/* XXX We allow spurious inexact exceptions here (hard to avoid). */
for (i = 0; i < sizeof(finites) / sizeof(finites[0]); i++) {
z = cpackl(INFINITY, finites[i]);
c = INFINITY * cosl(finites[i]);
s = finites[i] == 0 ? finites[i] : INFINITY * sinl(finites[i]);
testall_odd(csinh, z, cpackl(c, s), OPT_INEXACT, 0, CS_BOTH);
testall_even(ccosh, z, cpackl(c, s), OPT_INEXACT, 0, CS_BOTH);
testall_odd(ctanh, z, cpackl(1, 0 * sin(finites[i] * 2)),
OPT_INEXACT, 0, CS_BOTH);
z = cpackl(finites[i], INFINITY);
testall_odd(csin, z, cpackl(s, c), OPT_INEXACT, 0, CS_BOTH);
testall_even(ccos, z, cpackl(c, -s), OPT_INEXACT, 0, CS_BOTH);
testall_odd(ctan, z, cpackl(0 * sin(finites[i] * 2), 1),
OPT_INEXACT, 0, CS_BOTH);
}
z = cpackl(0, INFINITY);
testall_odd(csinh, z, cpackl(0, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
testall_even(ccosh, z, cpackl(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0);
testall_odd(ctanh, z, cpackl(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
z = cpackl(INFINITY, 0);
testall_odd(csin, z, cpackl(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0);
testall_even(ccos, z, cpackl(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0);
testall_odd(ctan, z, cpackl(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
z = cpackl(42, INFINITY);
testall_odd(csinh, z, cpackl(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
testall_even(ccosh, z, cpackl(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
/* XXX We allow a spurious inexact exception here. */
testall_odd(ctanh, z, cpackl(NAN, NAN), OPT_INEXACT, FE_INVALID, 0);
z = cpackl(INFINITY, 42);
testall_odd(csin, z, cpackl(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
testall_even(ccos, z, cpackl(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
/* XXX We allow a spurious inexact exception here. */
testall_odd(ctan, z, cpackl(NAN, NAN), OPT_INEXACT, FE_INVALID, 0);
}
/*
* Tests for NaN inputs.
*/
void
test_nan()
{
long double complex nan_nan = cpackl(NAN, NAN);
long double complex z;
/*
* IN CSINH CCOSH CTANH
* NaN,NaN NaN,NaN NaN,NaN NaN,NaN
* finite,NaN NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval]
* NaN,finite NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval]
* NaN,Inf NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval]
* Inf,NaN +-Inf,NaN Inf,NaN 1,+-0
* 0,NaN +-0,NaN NaN,+-0 NaN,NaN [inval]
* NaN,0 NaN,0 NaN,+-0 NaN,0
*/
z = nan_nan;
testall_odd(csinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall_even(ccosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall_odd(ctanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall_odd(csin, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall_even(ccos, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall_odd(ctan, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
z = cpackl(42, NAN);
testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0);
testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0);
/* XXX We allow a spurious inexact exception here. */
testall_odd(ctanh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0);
testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0);
testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0);
testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0);
z = cpackl(NAN, 42);
testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0);
testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0);
testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0);
testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0);
testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0);
/* XXX We allow a spurious inexact exception here. */
testall_odd(ctan, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0);
z = cpackl(NAN, INFINITY);
testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0);
testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0);
testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0);
testall_odd(csin, z, cpackl(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0);
testall_even(ccos, z, cpackl(INFINITY, NAN), ALL_STD_EXCEPT, 0,
CS_IMAG);
testall_odd(ctan, z, cpackl(0, 1), ALL_STD_EXCEPT, 0, CS_IMAG);
z = cpackl(INFINITY, NAN);
testall_odd(csinh, z, cpackl(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0);
testall_even(ccosh, z, cpackl(INFINITY, NAN), ALL_STD_EXCEPT, 0,
CS_REAL);
testall_odd(ctanh, z, cpackl(1, 0), ALL_STD_EXCEPT, 0, CS_REAL);
testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0);
testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0);
testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0);
z = cpackl(0, NAN);
testall_odd(csinh, z, cpackl(0, NAN), ALL_STD_EXCEPT, 0, 0);
testall_even(ccosh, z, cpackl(NAN, 0), ALL_STD_EXCEPT, 0, 0);
testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0);
testall_odd(csin, z, cpackl(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL);
testall_even(ccos, z, cpackl(NAN, 0), ALL_STD_EXCEPT, 0, 0);
testall_odd(ctan, z, cpackl(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL);
z = cpackl(NAN, 0);
testall_odd(csinh, z, cpackl(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG);
testall_even(ccosh, z, cpackl(NAN, 0), ALL_STD_EXCEPT, 0, 0);
testall_odd(ctanh, z, cpackl(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG);
testall_odd(csin, z, cpackl(NAN, 0), ALL_STD_EXCEPT, 0, 0);
testall_even(ccos, z, cpackl(NAN, 0), ALL_STD_EXCEPT, 0, 0);
testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0);
}
/*
* Tests for NaN inputs.
*/
void
test_nan()
{
long double complex nan_nan = CMPLXL(NAN, NAN);
long double complex z;
/*
* IN CACOSH CACOS CASINH CATANH
* NaN,NaN NaN,NaN NaN,NaN NaN,NaN NaN,NaN
* finite,NaN NaN,NaN* NaN,NaN* NaN,NaN* NaN,NaN*
* NaN,finite NaN,NaN* NaN,NaN* NaN,NaN* NaN,NaN*
* NaN,Inf Inf,NaN NaN,-Inf ?Inf,NaN ?0,pi/2
* +-Inf,NaN Inf,NaN NaN,?Inf +-Inf,NaN +-0,NaN
* +-0,NaN NaN,NaN* pi/2,NaN NaN,NaN* +-0,NaN
* NaN,0 NaN,NaN* NaN,NaN* NaN,0 NaN,NaN*
*
* * = raise invalid
*/
z = nan_nan;
testall(cacosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall(cacos, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall(casinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall(casin, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall(catanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
testall(catan, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
z = CMPLXL(0.5, NAN);
testall(cacosh, z, nan_nan, OPT_INVALID, 0, 0);
testall(cacos, z, nan_nan, OPT_INVALID, 0, 0);
testall(casinh, z, nan_nan, OPT_INVALID, 0, 0);
testall(casin, z, nan_nan, OPT_INVALID, 0, 0);
testall(catanh, z, nan_nan, OPT_INVALID, 0, 0);
testall(catan, z, nan_nan, OPT_INVALID, 0, 0);
z = CMPLXL(NAN, 0.5);
testall(cacosh, z, nan_nan, OPT_INVALID, 0, 0);
testall(cacos, z, nan_nan, OPT_INVALID, 0, 0);
testall(casinh, z, nan_nan, OPT_INVALID, 0, 0);
testall(casin, z, nan_nan, OPT_INVALID, 0, 0);
testall(catanh, z, nan_nan, OPT_INVALID, 0, 0);
testall(catan, z, nan_nan, OPT_INVALID, 0, 0);
z = CMPLXL(NAN, INFINITY);
testall(cacosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, CS_REAL);
testall(cacosh, -z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, CS_REAL);
testall(cacos, z, CMPLXL(NAN, -INFINITY), ALL_STD_EXCEPT, 0, CS_IMAG);
testall(casinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0);
testall(casin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, CS_IMAG);
testall_tol(catanh, z, CMPLXL(0.0, pi / 2), 1);
testall(catan, z, CMPLXL(NAN, 0.0), ALL_STD_EXCEPT, 0, CS_IMAG);
z = CMPLXL(INFINITY, NAN);
testall_even(cacosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0,
CS_REAL);
testall_even(cacos, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0);
testall_odd(casinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0,
CS_REAL);
testall_odd(casin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0);
testall_odd(catanh, z, CMPLXL(0.0, NAN), ALL_STD_EXCEPT, 0, CS_REAL);
testall_odd_tol(catan, z, CMPLXL(pi / 2, 0.0), 1);
z = CMPLXL(0.0, NAN);
/* XXX We allow a spurious inexact exception here. */
testall_even(cacosh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0);
testall_even_tol(cacos, z, CMPLXL(pi / 2, NAN), 1);
testall_odd(casinh, z, nan_nan, OPT_INVALID, 0, 0);
testall_odd(casin, z, CMPLXL(0.0, NAN), ALL_STD_EXCEPT, 0, CS_REAL);
testall_odd(catanh, z, CMPLXL(0.0, NAN), OPT_INVALID, 0, CS_REAL);
testall_odd(catan, z, nan_nan, OPT_INVALID, 0, 0);
z = CMPLXL(NAN, 0.0);
testall(cacosh, z, nan_nan, OPT_INVALID, 0, 0);
testall(cacos, z, nan_nan, OPT_INVALID, 0, 0);
testall(casinh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG);
testall(casin, z, nan_nan, OPT_INVALID, 0, 0);
testall(catanh, z, nan_nan, OPT_INVALID, 0, CS_IMAG);
testall(catan, z, CMPLXL(NAN, 0.0), ALL_STD_EXCEPT, 0, 0);
}
