/* 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); }