diff options
Diffstat (limited to 'math')
| -rw-r--r-- | math/libm-test.c | 286 |
1 files changed, 283 insertions, 3 deletions
diff --git a/math/libm-test.c b/math/libm-test.c index b7f265c..a4b31a6 100644 --- a/math/libm-test.c +++ b/math/libm-test.c @@ -53,11 +53,11 @@ scalb, scalbn, signbit, sin, sincos, sinh, sqrt, tan, tanh, trunc and for the following complex math functions: - cacos, cacosh, casin, casinh, catan, catanh, - ccos, ccosh, cexp, clog, cpow, csin, csinh, csqrt, ctanh. + cabs, cacos, cacosh, carg, casin, casinh, catan, catanh, + ccos, ccosh, cexp, clog, cpow, csin, csinh, csqrt, ctan, ctanh. At the moment the following functions aren't tested: - cabs, carg, conj, cproj, cimag, creal, ctan, drem, + conj, cproj, cimag, creal, drem, j0, j1, jn, y0, y1, yn, significand, nan, comparison macros (isless,isgreater,...). @@ -4044,6 +4044,145 @@ catanh_test (void) static void +ctan_test (void) +{ + __complex__ MATHTYPE result; + + result = FUNC(ctan) (BUILD_COMPLEX (0, 0)); + check ("real(ctan(0 + i0)) = 0", __real__ result, 0); + check ("imag(ctan(0 + i0)) = 0", __imag__ result, 0); + result = FUNC(ctan) (BUILD_COMPLEX (0, minus_zero)); + check ("real(ctan(0 - i0)) = 0", __real__ result, 0); + check ("imag(ctan(0 - i0)) = -0", __imag__ result, minus_zero); + result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, 0)); + check ("real(ctan(-0 + i0)) = -0", __real__ result, minus_zero); + check ("imag(ctan(-0 + i0)) = 0", __imag__ result, 0); + result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, minus_zero)); + check ("real(ctan(-0 - i0)) = -0", __real__ result, minus_zero); + check ("imag(ctan(-0 - i0)) = -0", __imag__ result, minus_zero); + + + result = FUNC(ctan) (BUILD_COMPLEX (0, plus_infty)); + check ("real(ctan(0 + i Inf)) = 0", __real__ result, 0); + check ("imag(ctan(0 + i Inf)) = 1", __imag__ result, 1); + result = FUNC(ctan) (BUILD_COMPLEX (1, plus_infty)); + check ("real(ctan(1 + i Inf)) = 0", __real__ result, 0); + check ("imag(ctan(1 + i Inf)) = 1", __imag__ result, 1); + result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, plus_infty)); + check ("real(ctan(-0 + i Inf)) = -0", __real__ result, minus_zero); + check ("imag(ctan(-0 + i Inf)) = 1", __imag__ result, 1); + result = FUNC(ctan) (BUILD_COMPLEX (-1, plus_infty)); + check ("real(ctan(-1 + i Inf)) = -0", __real__ result, minus_zero); + check ("imag(ctan(-1 + i Inf)) = 1", __imag__ result, 1); + + result = FUNC(ctan) (BUILD_COMPLEX (0, minus_infty)); + check ("real(ctan(0 - i Inf)) = 0", __real__ result, 0); + check ("imag(ctan(0 - i Inf)) = -1", __imag__ result, -1); + result = FUNC(ctan) (BUILD_COMPLEX (1, minus_infty)); + check ("real(ctan(1 - i Inf)) = 0", __real__ result, 0); + check ("imag(ctan(1 - i Inf)) = -1", __imag__ result, -1); + result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, minus_infty)); + check ("real(ctan(-0 - i Inf)) = -0", __real__ result, minus_zero); + check ("imag(ctan(-0 - i Inf)) = -1", __imag__ result, -1); + result = FUNC(ctan) (BUILD_COMPLEX (-1, minus_infty)); + check ("real(ctan(-1 - i Inf)) = -0", __real__ result, minus_zero); + check ("imag(ctan(-1 - i Inf)) = -1", __imag__ result, -1); + + result = FUNC(ctan) (BUILD_COMPLEX (plus_infty, 0)); + check_isnan_exc ("real(ctan(Inf + i 0)) = NaN plus invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(Inf + i 0)) = NaN plus invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (plus_infty, 2)); + check_isnan_exc ("real(ctan(Inf + i 2)) = NaN plus invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(Inf + i 2)) = NaN plus invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (minus_infty, 0)); + check_isnan_exc ("real(ctan(-Inf + i 0)) = NaN plus invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(-Inf + i 0)) = NaN plus invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (minus_infty, 2)); + check_isnan_exc ("real(ctan(- Inf + i 2)) = NaN plus invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(- Inf + i 2)) = NaN plus invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (plus_infty, minus_zero)); + check_isnan_exc ("real(ctan(Inf - i 0)) = NaN plus invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(Inf - i 0)) = NaN plus invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (plus_infty, -2)); + check_isnan_exc ("real(ctan(Inf - i 2)) = NaN plus invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(Inf - i 2)) = NaN plus invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (minus_infty, minus_zero)); + check_isnan_exc ("real(ctan(-Inf - i 0)) = NaN plus invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(-Inf - i 0)) = NaN plus invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (minus_infty, -2)); + check_isnan_exc ("real(ctan(-Inf - i 2)) = NaN plus invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(-Inf - i 2)) = NaN plus invalid exception", + __imag__ result); + + result = FUNC(ctan) (BUILD_COMPLEX (nan_value, plus_infty)); + check ("real(ctan(NaN + i Inf)) = +-0", FUNC(fabs) (__real__ result), 0); + check ("imag(ctan(NaN + i Inf)) = 1", __imag__ result, 1); + result = FUNC(ctan) (BUILD_COMPLEX (nan_value, minus_infty)); + check ("real(ctan(NaN - i Inf)) = +-0", FUNC(fabs) (__real__ result), 0); + check ("imag(ctan(NaN - i Inf)) = -1", __imag__ result, -1); + + result = FUNC(ctan) (BUILD_COMPLEX (0, nan_value)); + check ("real(ctan(0 + i NaN)) = 0", __real__ result, 0); + check_isnan ("imag(ctan(0 + i NaN)) = NaN", __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, nan_value)); + check ("real(ctan(-0 + i NaN)) = -0", __real__ result, minus_zero); + check_isnan ("imag(ctan(-0 + i NaN)) = NaN", __imag__ result); + + result = FUNC(ctan) (BUILD_COMPLEX (0.5, nan_value)); + check_isnan_maybe_exc ("real(ctan(0.5 + i NaN)) = NaN plus maybe invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(0.5 + i NaN)) = NaN plus maybe invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (-4.5, nan_value)); + check_isnan_maybe_exc ("real(ctan(-4.5 + i NaN)) = NaN plus maybe invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(-4.5 + i NaN)) = NaN plus maybe invalid exception", + __imag__ result); + + result = FUNC(ctan) (BUILD_COMPLEX (nan_value, 0)); + check_isnan_maybe_exc ("real(ctan(NaN + i 0)) = NaN plus maybe invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(NaN + i 0)) = NaN plus maybe invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (nan_value, 5)); + check_isnan_maybe_exc ("real(ctan(NaN + i 5)) = NaN plus maybe invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(NaN + i 5)) = NaN plus maybe invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (nan_value, minus_zero)); + check_isnan_maybe_exc ("real(ctan(NaN - i 0)) = NaN plus maybe invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctan(NaN - i 0)) = NaN plus maybe invalid exception", + __imag__ result); + result = FUNC(ctan) (BUILD_COMPLEX (nan_value, -0.25)); + check_isnan_maybe_exc ("real(ctan(NaN -i 0.25)) = NaN plus maybe invalid exception", + __real__ result, INVALID_EXCEPTION); + check_isnan ("imag(ctanh(NaN -i 0.25)) = NaN plus maybe invalid exception", + __imag__ result); + + result = FUNC(ctan) (BUILD_COMPLEX (nan_value, nan_value)); + check_isnan ("real(ctan(NaN + i NaN)) = NaN", __real__ result); + check_isnan ("imag(ctan(NaN + i NaN)) = NaN", __imag__ result); + +} + + +static void ctanh_test (void) { __complex__ MATHTYPE result; @@ -4176,6 +4315,11 @@ ctanh_test (void) result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, nan_value)); check_isnan ("real(ctanh(NaN + i NaN)) = NaN", __real__ result); check_isnan ("imag(ctanh(NaN + i NaN)) = NaN", __imag__ result); + + result = FUNC(ctanh) (BUILD_COMPLEX (0, M_PI_4)); + check ("real(ctanh (0 + i pi/4)) == 0", __real__ result, 0); + check_eps ("imag(ctanh (0 + i pi/4)) == 1", __imag__ result, 1, + CHOOSE (0, 0, 2e-7)); } @@ -4622,6 +4766,10 @@ csqrt_test (void) result = FUNC(csqrt) (BUILD_COMPLEX (nan_value, nan_value)); check_isnan ("real(csqrt(NaN + i NaN)) = NaN", __real__ result); check_isnan ("imag(csqrt(NaN + i NaN)) = NaN", __imag__ result); + + result = FUNC(csqrt) (BUILD_COMPLEX (-1, 0)); + check ("real(csqrt(1 + i0) = 0", __real__ result, 0); + check ("imag(csqrt(1 + i0) = 1", __imag__ result, 1); } @@ -4643,6 +4791,133 @@ cpow_test (void) static void +cabs_test (void) +{ + /* cabs (x + iy) is specified as hypot (x,y) */ + MATHTYPE a; + a = random_greater (0); + check_isinfp_ext ("cabs (+inf + i x) == +inf", + FUNC(cabs) (BUILD_COMPLEX (plus_infty, a)), a); + check_isinfp_ext ("cabs (-inf + i x) == +inf", + FUNC(cabs) (BUILD_COMPLEX (minus_infty, a)), a); + + check_isinfp ("cabs (+inf+ iNaN) == +inf", + FUNC(cabs) (BUILD_COMPLEX(minus_infty, nan_value))); + check_isinfp ("cabs (-inf+ iNaN) == +inf", + FUNC(cabs) (BUILD_COMPLEX(minus_infty, nan_value))); + + check_isnan ("cabs (NaN+ iNaN) == NaN", + FUNC(cabs) (BUILD_COMPLEX(nan_value, nan_value))); + + a = FUNC(cabs) (BUILD_COMPLEX (12.4L, 0.7L)); + check ("cabs (x,y) == cabs (y,x)", + FUNC(cabs) (BUILD_COMPLEX(0.7L, 12.4L)), a); + check ("cabs (x,y) == cabs (-x,y)", + FUNC(cabs) (BUILD_COMPLEX(-12.4L, 0.7L)), a); + check ("cabs (x,y) == cabs (-y,x)", + FUNC(cabs) (BUILD_COMPLEX(-0.7L, 12.4L)), a); + check ("cabs (x,y) == cabs (-x,-y)", + FUNC(cabs) (BUILD_COMPLEX(-12.4L, -0.7L)), a); + check ("cabs (x,y) == cabs (-y,-x)", + FUNC(cabs) (BUILD_COMPLEX(-0.7L, -12.4L)), a); + check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX(-0.7L, 0)), 0.7L); + check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX(0.7L, 0)), 0.7L); + check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX(-1.0L, 0)), 1.0L); + check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX(1.0L, 0)), 1.0L); + check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX(-5.7e7L, 0)), + 5.7e7L); + check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX(5.7e7L, 0)), + 5.7e7L); + +} + + +static void +carg_test (void) +{ + /* carg (x + iy) is specified as atan2 (y, x) */ + MATHTYPE x; + + x = random_greater (0); + check ("carg (x + i 0) == 0 for x > 0", + FUNC(carg) (BUILD_COMPLEX(x, 0)), 0); + x = random_greater (0); + check ("carg (x - i 0) == -0 for x > 0", + FUNC(carg) (BUILD_COMPLEX(x, minus_zero)), minus_zero); + + check ("carg (+0 + i 0) == +0", FUNC(carg) (BUILD_COMPLEX(0, 0)), 0); + check ("carg (+0 - i 0) == -0", FUNC(carg) (BUILD_COMPLEX(0, minus_zero)), + minus_zero); + + x = -random_greater (0); + check ("carg (x + i 0) == +pi for x < 0", FUNC(carg) (BUILD_COMPLEX(x, 0)), + M_PI); + + x = -random_greater (0); + check ("carg (x - i 0) == -pi for x < 0", + FUNC(carg) (BUILD_COMPLEX(x, minus_zero)), -M_PI); + + check ("carg (-0 + i 0) == +pi", FUNC(carg) (BUILD_COMPLEX(minus_zero, 0)), + M_PI); + check ("carg (-0 - i 0) == -pi", + FUNC(carg) (BUILD_COMPLEX(minus_zero, minus_zero)), -M_PI); + + x = random_greater (0); + check ("carg (+0 + i y) == pi/2 for y > 0", FUNC(carg) (BUILD_COMPLEX(0, x)), + M_PI_2); + + x = random_greater (0); + check ("carg (-0 + i y) == pi/2 for y > 0", + FUNC(carg) (BUILD_COMPLEX(minus_zero, x)), M_PI_2); + + x = random_less (0); + check ("carg (+0 + i y) == -pi/2 for y < 0", FUNC(carg) (BUILD_COMPLEX(0, x)), + -M_PI_2); + + x = random_less (0); + check ("carg (-0 + i y) == -pi/2 for y < 0", + FUNC(carg) (BUILD_COMPLEX(minus_zero, x)), -M_PI_2); + + x = random_greater (0); + check ("carg (inf + i y) == +0 for finite y > 0", + FUNC(carg) (BUILD_COMPLEX(plus_infty, x)), 0); + + x = -random_greater (0); + check ("carg (inf + i y) == -0 for finite y < 0", + FUNC(carg) (BUILD_COMPLEX(plus_infty, x)), minus_zero); + + x = random_value (-1e4, 1e4); + check ("carg(x + i inf) == pi/2 for finite x", + FUNC(carg) (BUILD_COMPLEX(x, plus_infty)), M_PI_2); + + x = random_value (-1e4, 1e4); + check ("carg(x - i inf) == -pi/2 for finite x", + FUNC(carg) (BUILD_COMPLEX(x, minus_infty)), -M_PI_2); + + x = random_greater (0); + check ("carg (-inf + i y) == +pi for finite y > 0", + FUNC(carg) (BUILD_COMPLEX(minus_infty, x)), M_PI); + + x = -random_greater (0); + check ("carg (-inf + i y) == -pi for finite y < 0", + FUNC(carg) (BUILD_COMPLEX(minus_infty, x)), -M_PI); + + check ("carg (+inf + i inf) == +pi/4", + FUNC(carg) (BUILD_COMPLEX(plus_infty, plus_infty)), M_PI_4); + + check ("carg (+inf -i inf) == -pi/4", + FUNC(carg) (BUILD_COMPLEX(plus_infty, minus_infty)), -M_PI_4); + + check ("carg (-inf +i inf) == +3*pi/4", + FUNC(carg) (BUILD_COMPLEX(minus_infty, plus_infty)), 3 * M_PI_4); + + check ("carg (-inf -i inf) == -3*pi/4", + FUNC(carg) (BUILD_COMPLEX(minus_infty, minus_infty)), -3 * M_PI_4); + +} + + +static void nearbyint_test (void) { check ("nearbyint(+0) = 0", FUNC(nearbyint) (0.0), 0.0); @@ -5266,6 +5541,8 @@ main (int argc, char *argv[]) fmax_test (); /* complex functions */ + cabs_test (); + carg_test (); cexp_test (); csin_test (); csinh_test (); @@ -5279,9 +5556,12 @@ main (int argc, char *argv[]) casinh_test (); catan_test (); catanh_test (); + ctan_test (); ctanh_test (); csqrt_test (); cpow_test (); + + /* multiply and add */ fma_test (); /* special tests */ |