diff options
Diffstat (limited to 'math/libm-test.c')
| -rw-r--r-- | math/libm-test.c | 75 |
1 files changed, 62 insertions, 13 deletions
diff --git a/math/libm-test.c b/math/libm-test.c index a4b31a6..c9b3b4d 100644 --- a/math/libm-test.c +++ b/math/libm-test.c @@ -78,12 +78,13 @@ /* "Philosophy": - This suite tests the correct implementation of mathematical - functions in libm. Some simple, specific parameters are tested for - correctness. Handling of specific inputs (e.g. infinity, - not-a-number) is also tested. Correct handling of exceptions is - checked against. These implemented tests should check all cases - that are specified in ISO C 9X. + This suite tests some aspects of the correct implementation of + mathematical functions in libm. Some simple, specific parameters + are tested for correctness but there's no exhaustive + testing. Handling of specific inputs (e.g. infinity, not-a-number) + is also tested. Correct handling of exceptions is checked + against. These implemented tests should check all cases that are + specified in ISO C 9X. Exception testing: At the moment only divide-by-zero and invalid exceptions are tested. Overflow/underflow and inexact exceptions @@ -837,9 +838,15 @@ acos_test (void) FUNC(acos) (x), INVALID_EXCEPTION); #endif + check ("acos (0) == pi/2", FUNC(acos) (0), M_PI_2); + check ("acos (-0) == pi/2", FUNC(acos) (minus_zero), M_PI_2); check ("acos (1) == 0", FUNC(acos) (1), 0); check ("acos (-1) == pi", FUNC(acos) (-1), M_PI); + + check ("acos (0.5) == pi/3", FUNC(acos) (0.5), M_PI_6 * 2.0); + check ("acos (-0.5) == 2*pi/3", FUNC(acos) (-0.5), M_PI_6 * 4.0); + } @@ -878,9 +885,14 @@ asin_test (void) #endif check ("asin (0) == 0", FUNC(asin) (0), 0); + check ("asin (-0) == -0", FUNC(asin) (minus_zero), minus_zero); check_eps ("asin (0.5) == pi/6", FUNC(asin) (0.5), M_PI_6, CHOOSE(3.5e-18, 0, 2e-7)); + check_eps ("asin (-0.5) == -pi/6", FUNC(asin) (-0.5), -M_PI_6, + CHOOSE(3.5e-18, 0, 2e-7)); check ("asin (1.0) == pi/2", FUNC(asin) (1.0), M_PI_2); + check ("asin (-1.0) == -pi/2", FUNC(asin) (-1.0), -M_PI_2); + } @@ -906,6 +918,10 @@ atan_test (void) check ("atan (+inf) == pi/2", FUNC(atan) (plus_infty), M_PI_2); check ("atan (-inf) == -pi/2", FUNC(atan) (minus_infty), -M_PI_2); + + check ("atan (1) == pi/4", FUNC(atan) (1), M_PI_4); + check ("atan (-1) == -pi/4", FUNC(atan) (1), M_PI_4); + } @@ -1062,6 +1078,8 @@ cos_test (void) check_eps ("cos (pi/3) == 0.5", FUNC(cos) (M_PI_6 * 2.0), 0.5, CHOOSE (4e-18L, 1e-15L, 1e-7L)); + check_eps ("cos (2*pi/3) == -0.5", FUNC(cos) (M_PI_6 * 4.0), + -0.5, CHOOSE (4e-18L, 1e-15L, 1e-7L)); check_eps ("cos (pi/2) == 0", FUNC(cos) (M_PI_2), 0, CHOOSE (1e-19L, 1e-16L, 1e-7L)); @@ -1123,6 +1141,9 @@ exp_test (void) check ("exp (-inf) == 0", FUNC(exp) (minus_infty), 0); #endif check_eps ("exp (1) == e", FUNC(exp) (1), M_E, CHOOSE (4e-18L, 5e-16, 0)); + + check ("exp (2) == e^2", FUNC(exp) (2), M_E * M_E); + check ("exp (3) == e^3", FUNC(exp) (3), M_E * M_E * M_E); } @@ -1724,8 +1745,11 @@ sin_test (void) INVALID_EXCEPTION); check_eps ("sin (pi/6) == 0.5", FUNC(sin) (M_PI_6), - 0.5,CHOOSE (4e-18L, 0, 0)); + 0.5, CHOOSE (4e-18L, 0, 0)); + check_eps ("sin (-pi/6) == -0.5", FUNC(sin) (-M_PI_6), + -0.5, CHOOSE (4e-18L, 0, 0)); check ("sin (pi/2) == 1", FUNC(sin) (M_PI_2), 1); + check ("sin (-pi/2) == -1", FUNC(sin) (-M_PI_2), -1); } @@ -2328,6 +2352,9 @@ sqrt_test (void) check_ext ("sqrt (x*x) == x", FUNC(sqrt) (x*x), x, x); check ("sqrt (4) == 2", FUNC(sqrt) (4), 2); check ("sqrt (0.25) == 0.5", FUNC(sqrt) (0.25), 0.5); + check ("sqrt (6642.25) == 81.5", FUNC(sqrt) (6642.25), 81.5); + check_eps ("sqrt (15239.903) == 123.45", FUNC(sqrt) (15239.903), 123.45, + CHOOSE (3e-6L, 3e-6, 8e-6)); } @@ -2459,7 +2486,7 @@ cexp_test (void) check_isnan ("imag(cexp(0 + i inf)) = NaN plus invalid exception", __imag__ result); -#if defined __GNUC__ && __GNUC__ <= 2 && __GNUC_MINOR <= 7 +#if defined __GNUC__ && __GNUC__ <= 2 && __GNUC_MINOR__ <= 7 if (verbose) printf ("The following test for cexp might fail due to a gcc compiler error!\n"); #endif @@ -4767,9 +4794,21 @@ csqrt_test (void) 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 (16.0, -30.0)); + check ("real(csqrt(16 - 30i)) = 5", __real__ result, 5.0); + check ("imag(csqrt(16 - 30i)) = -3", __imag__ result, -3.0); + 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); + + result = FUNC(csqrt) (BUILD_COMPLEX (0, 2)); + check ("real(csqrt(0 + i 2) = 1", __real__ result, 1); + check ("imag(csqrt(0 + i 2) = 1", __imag__ result, 1); + + result = FUNC(csqrt) (BUILD_COMPLEX (119, 120)); + check ("real(csqrt(119 + i 120) = 12", __real__ result, 12); + check ("imag(csqrt(119 + i 120) = 5", __imag__ result, 5); } @@ -4779,14 +4818,24 @@ cpow_test (void) __complex__ MATHTYPE result; result = FUNC (cpow) (BUILD_COMPLEX (1, 0), BUILD_COMPLEX (0, 0)); - check ("real(cpow (1 + i0), (0 + i0)) = 0", __real__ result, 1); - check ("imag(cpow (1 + i0), (0 + i0)) = 0", __imag__ result, 0); + check ("real(cpow (1 + i0), (0 + i0)) == 0", __real__ result, 1); + check ("imag(cpow (1 + i0), (0 + i0)) == 0", __imag__ result, 0); result = FUNC (cpow) (BUILD_COMPLEX (2, 0), BUILD_COMPLEX (10, 0)); - check_eps ("real(cpow (2 + i0), (10 + i0)) = 1024", __real__ result, 1024, + check_eps ("real(cpow (2 + i0), (10 + i0)) == 1024", __real__ result, 1024, CHOOSE (2e-16L, 0, 0)); - check ("imag(cpow (2 + i0), (10 + i0)) = 0", __imag__ result, 0); - + check ("imag(cpow (2 + i0), (10 + i0)) == 0", __imag__ result, 0); + + result = FUNC (cpow) (BUILD_COMPLEX (M_E, 0), BUILD_COMPLEX (0, 2*M_PI)); + check ("real(cpow (e + i0), (0 + i 2*PI)) == 1", __real__ result, 1); + check_eps ("imag(cpow (e + i0), (0 + i 2*PI)) == 0", __imag__ result, 0, + CHOOSE (1e-18L, 3e-16, 4e-7)); + + result = FUNC (cpow) (BUILD_COMPLEX (2, 3), BUILD_COMPLEX (4, 0)); + check_eps ("real(cpow (2 + i3), (4 + i0)) == -119", __real__ result, -119, + CHOOSE (2e-17L, 2e-14, 4e-5)); + check_eps ("imag(cpow (2 + i3), (4 + i0)) == -120", __imag__ result, -120, + CHOOSE (4e-17L, 0, 8e-6)); } |