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Diffstat (limited to 'lib/msun/tests/invctrig_test.c')
| -rw-r--r-- | lib/msun/tests/invctrig_test.c | 367 |
1 files changed, 367 insertions, 0 deletions
diff --git a/lib/msun/tests/invctrig_test.c b/lib/msun/tests/invctrig_test.c new file mode 100644 index 0000000..34e78a1 --- /dev/null +++ b/lib/msun/tests/invctrig_test.c @@ -0,0 +1,367 @@ +/*- + * Copyright (c) 2008-2013 David Schultz <das@FreeBSD.org> + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +/* + * Tests for casin[h](), cacos[h](), and catan[h](). + */ + +#include <sys/cdefs.h> +__FBSDID("$FreeBSD$"); + +#include <assert.h> +#include <complex.h> +#include <fenv.h> +#include <float.h> +#include <math.h> +#include <stdio.h> + +#include "test-utils.h" + +#pragma STDC FENV_ACCESS ON +#pragma STDC CX_LIMITED_RANGE OFF + +/* + * Test that a function returns the correct value and sets the + * exception flags correctly. The exceptmask specifies which + * exceptions we should check. We need to be lenient for several + * reasons, but mainly because on some architectures it's impossible + * to raise FE_OVERFLOW without raising FE_INEXACT. + * + * These are macros instead of functions so that assert provides more + * meaningful error messages. + * + * XXX The volatile here is to avoid gcc's bogus constant folding and work + * around the lack of support for the FENV_ACCESS pragma. + */ +#define test_p(func, z, result, exceptmask, excepts, checksign) do { \ + volatile long double complex _d = z; \ + debug(" testing %s(%Lg + %Lg I) == %Lg + %Lg I\n", #func, \ + creall(_d), cimagl(_d), creall(result), cimagl(result)); \ + assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ + assert(cfpequal_cs((func)(_d), (result), (checksign))); \ + assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \ +} while (0) + +/* + * Test within a given tolerance. The tolerance indicates relative error + * in ulps. + */ +#define test_p_tol(func, z, result, tol) do { \ + volatile long double complex _d = z; \ + debug(" testing %s(%Lg + %Lg I) ~= %Lg + %Lg I\n", #func, \ + creall(_d), cimagl(_d), creall(result), cimagl(result)); \ + assert(cfpequal_tol((func)(_d), (result), (tol), CS_BOTH)); \ +} while (0) + +/* These wrappers apply the identities f(conj(z)) = conj(f(z)). */ +#define test(func, z, result, exceptmask, excepts, checksign) do { \ + test_p(func, z, result, exceptmask, excepts, checksign); \ + test_p(func, conjl(z), conjl(result), exceptmask, excepts, checksign); \ +} while (0) +#define test_tol(func, z, result, tol) do { \ + test_p_tol(func, z, result, tol); \ + test_p_tol(func, conjl(z), conjl(result), tol); \ +} while (0) + +/* Test the given function in all precisions. */ +#define testall(func, x, result, exceptmask, excepts, checksign) do { \ + test(func, x, result, exceptmask, excepts, checksign); \ + test(func##f, x, result, exceptmask, excepts, checksign); \ +} while (0) +#define testall_odd(func, x, result, exceptmask, excepts, checksign) do { \ + testall(func, x, result, exceptmask, excepts, checksign); \ + testall(func, -(x), -result, exceptmask, excepts, checksign); \ +} while (0) +#define testall_even(func, x, result, exceptmask, excepts, checksign) do { \ + testall(func, x, result, exceptmask, excepts, checksign); \ + testall(func, -(x), result, exceptmask, excepts, checksign); \ +} while (0) + +/* + * Test the given function in all precisions, within a given tolerance. + * The tolerance is specified in ulps. + */ +#define testall_tol(func, x, result, tol) do { \ + test_tol(func, x, result, (tol) * DBL_ULP()); \ + test_tol(func##f, x, result, (tol) * FLT_ULP()); \ +} while (0) +#define testall_odd_tol(func, x, result, tol) do { \ + testall_tol(func, x, result, tol); \ + testall_tol(func, -(x), -result, tol); \ +} while (0) +#define testall_even_tol(func, x, result, tol) do { \ + testall_tol(func, x, result, tol); \ + testall_tol(func, -(x), result, tol); \ +} while (0) + +static const long double +pi = 3.14159265358979323846264338327950280L, +c3pi = 9.42477796076937971538793014983850839L; + + +/* Tests for 0 */ +void +test_zero(void) +{ + long double complex zero = CMPLXL(0.0, 0.0); + + testall_tol(cacosh, zero, CMPLXL(0.0, pi / 2), 1); + testall_tol(cacosh, -zero, CMPLXL(0.0, -pi / 2), 1); + testall_tol(cacos, zero, CMPLXL(pi / 2, -0.0), 1); + testall_tol(cacos, -zero, CMPLXL(pi / 2, 0.0), 1); + + testall_odd(casinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); + testall_odd(casin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); + + testall_odd(catanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); + testall_odd(catan, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); +} + +/* + * 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); +} + +void +test_inf(void) +{ + long double complex z; + + /* + * IN CACOSH CACOS CASINH CATANH + * Inf,Inf Inf,pi/4 pi/4,-Inf Inf,pi/4 0,pi/2 + * -Inf,Inf Inf,3pi/4 3pi/4,-Inf --- --- + * Inf,finite Inf,0 0,-Inf Inf,0 0,pi/2 + * -Inf,finite Inf,pi pi,-Inf --- --- + * finite,Inf Inf,pi/2 pi/2,-Inf Inf,pi/2 0,pi/2 + */ + z = CMPLXL(INFINITY, INFINITY); + testall_tol(cacosh, z, CMPLXL(INFINITY, pi / 4), 1); + testall_tol(cacosh, -z, CMPLXL(INFINITY, -c3pi / 4), 1); + testall_tol(cacos, z, CMPLXL(pi / 4, -INFINITY), 1); + testall_tol(cacos, -z, CMPLXL(c3pi / 4, INFINITY), 1); + testall_odd_tol(casinh, z, CMPLXL(INFINITY, pi / 4), 1); + testall_odd_tol(casin, z, CMPLXL(pi / 4, INFINITY), 1); + testall_odd_tol(catanh, z, CMPLXL(0, pi / 2), 1); + testall_odd_tol(catan, z, CMPLXL(pi / 2, 0), 1); + + z = CMPLXL(INFINITY, 0.5); + /* XXX We allow a spurious inexact exception here. */ + testall(cacosh, z, CMPLXL(INFINITY, 0), OPT_INEXACT, 0, CS_BOTH); + testall_tol(cacosh, -z, CMPLXL(INFINITY, -pi), 1); + testall(cacos, z, CMPLXL(0, -INFINITY), OPT_INEXACT, 0, CS_BOTH); + testall_tol(cacos, -z, CMPLXL(pi, INFINITY), 1); + testall_odd(casinh, z, CMPLXL(INFINITY, 0), OPT_INEXACT, 0, CS_BOTH); + testall_odd_tol(casin, z, CMPLXL(pi / 2, INFINITY), 1); + testall_odd_tol(catanh, z, CMPLXL(0, pi / 2), 1); + testall_odd_tol(catan, z, CMPLXL(pi / 2, 0), 1); + + z = CMPLXL(0.5, INFINITY); + testall_tol(cacosh, z, CMPLXL(INFINITY, pi / 2), 1); + testall_tol(cacosh, -z, CMPLXL(INFINITY, -pi / 2), 1); + testall_tol(cacos, z, CMPLXL(pi / 2, -INFINITY), 1); + testall_tol(cacos, -z, CMPLXL(pi / 2, INFINITY), 1); + testall_odd_tol(casinh, z, CMPLXL(INFINITY, pi / 2), 1); + /* XXX We allow a spurious inexact exception here. */ + testall_odd(casin, z, CMPLXL(0.0, INFINITY), OPT_INEXACT, 0, CS_BOTH); + testall_odd_tol(catanh, z, CMPLXL(0, pi / 2), 1); + testall_odd_tol(catan, z, CMPLXL(pi / 2, 0), 1); +} + +/* Tests along the real and imaginary axes. */ +void +test_axes(void) +{ + static const long double nums[] = { + -2, -1, -0.5, 0.5, 1, 2 + }; + long double complex z; + int i; + + for (i = 0; i < sizeof(nums) / sizeof(nums[0]); i++) { + /* Real axis */ + z = CMPLXL(nums[i], 0.0); + if (fabsl(nums[i]) <= 1) { + testall_tol(cacosh, z, CMPLXL(0.0, acos(nums[i])), 1); + testall_tol(cacos, z, CMPLXL(acosl(nums[i]), -0.0), 1); + testall_tol(casin, z, CMPLXL(asinl(nums[i]), 0.0), 1); + testall_tol(catanh, z, CMPLXL(atanh(nums[i]), 0.0), 1); + } else { + testall_tol(cacosh, z, + CMPLXL(acosh(fabsl(nums[i])), + (nums[i] < 0) ? pi : 0), 1); + testall_tol(cacos, z, + CMPLXL((nums[i] < 0) ? pi : 0, + -acosh(fabsl(nums[i]))), 1); + testall_tol(casin, z, + CMPLXL(copysign(pi / 2, nums[i]), + acosh(fabsl(nums[i]))), 1); + testall_tol(catanh, z, + CMPLXL(atanh(1 / nums[i]), pi / 2), 1); + } + testall_tol(casinh, z, CMPLXL(asinh(nums[i]), 0.0), 1); + testall_tol(catan, z, CMPLXL(atan(nums[i]), 0), 1); + + /* TODO: Test the imaginary axis. */ + } +} + +void +test_small(void) +{ + /* + * z = 0.75 + i 0.25 + * acos(z) = Pi/4 - i ln(2)/2 + * asin(z) = Pi/4 + i ln(2)/2 + * atan(z) = atan(4)/2 + i ln(17/9)/4 + */ + complex long double z; + complex long double acos_z; + complex long double asin_z; + complex long double atan_z; + + z = CMPLXL(0.75L, 0.25L); + acos_z = CMPLXL(pi / 4, -0.34657359027997265470861606072908828L); + asin_z = CMPLXL(pi / 4, 0.34657359027997265470861606072908828L); + atan_z = CMPLXL(0.66290883183401623252961960521423782L, + 0.15899719167999917436476103600701878L); + + testall_tol(cacos, z, acos_z, 2); + testall_odd_tol(casin, z, asin_z, 2); + testall_odd_tol(catan, z, atan_z, 2); +} + +/* Test inputs that might cause overflow in a sloppy implementation. */ +void +test_large(void) +{ + + /* TODO: Write these tests */ +} + +int +main(int argc, char *argv[]) +{ + + printf("1..6\n"); + + test_zero(); + printf("ok 1 - invctrig zero\n"); + + test_nan(); + printf("ok 2 - invctrig nan\n"); + + test_inf(); + printf("ok 3 - invctrig inf\n"); + + test_axes(); + printf("ok 4 - invctrig axes\n"); + + test_small(); + printf("ok 5 - invctrig small\n"); + + test_large(); + printf("ok 6 - invctrig large\n"); + + return (0); +} |
