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Diffstat (limited to 'tools/regression/lib/msun/test-invctrig.c')
| -rw-r--r-- | tools/regression/lib/msun/test-invctrig.c | 367 |
1 files changed, 0 insertions, 367 deletions
diff --git a/tools/regression/lib/msun/test-invctrig.c b/tools/regression/lib/msun/test-invctrig.c deleted file mode 100644 index 34e78a1..0000000 --- a/tools/regression/lib/msun/test-invctrig.c +++ /dev/null @@ -1,367 +0,0 @@ -/*- - * 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); -} |
