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Diffstat (limited to 'tools/regression/lib/msun/test-invtrig.c')
| -rw-r--r-- | tools/regression/lib/msun/test-invtrig.c | 481 |
1 files changed, 0 insertions, 481 deletions
diff --git a/tools/regression/lib/msun/test-invtrig.c b/tools/regression/lib/msun/test-invtrig.c deleted file mode 100644 index 2110df4..0000000 --- a/tools/regression/lib/msun/test-invtrig.c +++ /dev/null @@ -1,481 +0,0 @@ -/*- - * Copyright (c) 2008 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 corner cases in the inverse trigonometric functions. Some - * accuracy tests are included as well, but these are very basic - * sanity checks, not intended to be comprehensive. - */ - -#include <sys/cdefs.h> -__FBSDID("$FreeBSD$"); - -#include <assert.h> -#include <fenv.h> -#include <float.h> -#include <math.h> -#include <stdio.h> - -#include "test-utils.h" - -#define LEN(a) (sizeof(a) / sizeof((a)[0])) - -#pragma STDC FENV_ACCESS ON - -/* - * Test that a function returns the correct value and sets the - * exception flags correctly. A tolerance specifying the maximum - * relative error allowed may be specified. For the 'testall' - * functions, the tolerance is specified in ulps. - * - * These are macros instead of functions so that assert provides more - * meaningful error messages. - */ -#define test_tol(func, x, result, tol, excepts) do { \ - volatile long double _in = (x), _out = (result); \ - assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ - assert(fpequal_tol(func(_in), _out, (tol), CS_BOTH)); \ - assert(((void)func, fetestexcept(ALL_STD_EXCEPT) == (excepts))); \ -} while (0) -#define test(func, x, result, excepts) \ - test_tol(func, (x), (result), 0, (excepts)) - -#define _testall_tol(prefix, x, result, tol, excepts) do { \ - test_tol(prefix, (double)(x), (double)(result), \ - (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \ - test_tol(prefix##f, (float)(x), (float)(result), \ - (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \ -} while (0) - -#if LDBL_PREC == 53 -#define testall_tol _testall_tol -#else -#define testall_tol(prefix, x, result, tol, excepts) do { \ - _testall_tol(prefix, x, result, tol, excepts); \ - test_tol(prefix##l, (x), (result), \ - (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \ -} while (0) -#endif - -#define testall(prefix, x, result, excepts) \ - testall_tol(prefix, (x), (result), 0, (excepts)) - -#define test2_tol(func, y, x, result, tol, excepts) do { \ - volatile long double _iny = (y), _inx = (x), _out = (result); \ - assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ - assert(fpequal_tol(func(_iny, _inx), _out, (tol), CS_BOTH)); \ - assert(((void)func, fetestexcept(ALL_STD_EXCEPT) == (excepts))); \ -} while (0) -#define test2(func, y, x, result, excepts) \ - test2_tol(func, (y), (x), (result), 0, (excepts)) - -#define _testall2_tol(prefix, y, x, result, tol, excepts) do { \ - test2_tol(prefix, (double)(y), (double)(x), (double)(result), \ - (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \ - test2_tol(prefix##f, (float)(y), (float)(x), (float)(result), \ - (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \ -} while (0) - -#if LDBL_PREC == 53 -#define testall2_tol _testall2_tol -#else -#define testall2_tol(prefix, y, x, result, tol, excepts) do { \ - _testall2_tol(prefix, y, x, result, tol, excepts); \ - test2_tol(prefix##l, (y), (x), (result), \ - (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \ -} while (0) -#endif - -#define testall2(prefix, y, x, result, excepts) \ - testall2_tol(prefix, (y), (x), (result), 0, (excepts)) - -long double -pi = 3.14159265358979323846264338327950280e+00L, -pio3 = 1.04719755119659774615421446109316766e+00L, -c3pi = 9.42477796076937971538793014983850839e+00L, -c5pi = 1.57079632679489661923132169163975140e+01L, -c7pi = 2.19911485751285526692385036829565196e+01L, -c5pio3 = 5.23598775598298873077107230546583851e+00L, -sqrt2m1 = 4.14213562373095048801688724209698081e-01L; - - -/* - * Test special case inputs in asin(), acos() and atan(): signed - * zeroes, infinities, and NaNs. - */ -static void -test_special(void) -{ - - testall(asin, 0.0, 0.0, 0); - testall(acos, 0.0, pi / 2, FE_INEXACT); - testall(atan, 0.0, 0.0, 0); - testall(asin, -0.0, -0.0, 0); - testall(acos, -0.0, pi / 2, FE_INEXACT); - testall(atan, -0.0, -0.0, 0); - - testall(asin, INFINITY, NAN, FE_INVALID); - testall(acos, INFINITY, NAN, FE_INVALID); - testall(atan, INFINITY, pi / 2, FE_INEXACT); - testall(asin, -INFINITY, NAN, FE_INVALID); - testall(acos, -INFINITY, NAN, FE_INVALID); - testall(atan, -INFINITY, -pi / 2, FE_INEXACT); - - testall(asin, NAN, NAN, 0); - testall(acos, NAN, NAN, 0); - testall(atan, NAN, NAN, 0); -} - -/* - * Test special case inputs in atan2(), where the exact value of y/x is - * zero or non-finite. - */ -static void -test_special_atan2(void) -{ - long double z; - int e; - - testall2(atan2, 0.0, -0.0, pi, FE_INEXACT); - testall2(atan2, -0.0, -0.0, -pi, FE_INEXACT); - testall2(atan2, 0.0, 0.0, 0.0, 0); - testall2(atan2, -0.0, 0.0, -0.0, 0); - - testall2(atan2, INFINITY, -INFINITY, c3pi / 4, FE_INEXACT); - testall2(atan2, -INFINITY, -INFINITY, -c3pi / 4, FE_INEXACT); - testall2(atan2, INFINITY, INFINITY, pi / 4, FE_INEXACT); - testall2(atan2, -INFINITY, INFINITY, -pi / 4, FE_INEXACT); - - /* Tests with one input in the range (0, Inf]. */ - z = 1.23456789L; - for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP; e++) { - test2(atan2f, 0.0, ldexpf(z, e), 0.0, 0); - test2(atan2f, -0.0, ldexpf(z, e), -0.0, 0); - test2(atan2f, 0.0, ldexpf(-z, e), (float)pi, FE_INEXACT); - test2(atan2f, -0.0, ldexpf(-z, e), (float)-pi, FE_INEXACT); - test2(atan2f, ldexpf(z, e), 0.0, (float)pi / 2, FE_INEXACT); - test2(atan2f, ldexpf(z, e), -0.0, (float)pi / 2, FE_INEXACT); - test2(atan2f, ldexpf(-z, e), 0.0, (float)-pi / 2, FE_INEXACT); - test2(atan2f, ldexpf(-z, e), -0.0, (float)-pi / 2, FE_INEXACT); - } - for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP; e++) { - test2(atan2, 0.0, ldexp(z, e), 0.0, 0); - test2(atan2, -0.0, ldexp(z, e), -0.0, 0); - test2(atan2, 0.0, ldexp(-z, e), (double)pi, FE_INEXACT); - test2(atan2, -0.0, ldexp(-z, e), (double)-pi, FE_INEXACT); - test2(atan2, ldexp(z, e), 0.0, (double)pi / 2, FE_INEXACT); - test2(atan2, ldexp(z, e), -0.0, (double)pi / 2, FE_INEXACT); - test2(atan2, ldexp(-z, e), 0.0, (double)-pi / 2, FE_INEXACT); - test2(atan2, ldexp(-z, e), -0.0, (double)-pi / 2, FE_INEXACT); - } - for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP; e++) { - test2(atan2l, 0.0, ldexpl(z, e), 0.0, 0); - test2(atan2l, -0.0, ldexpl(z, e), -0.0, 0); - test2(atan2l, 0.0, ldexpl(-z, e), pi, FE_INEXACT); - test2(atan2l, -0.0, ldexpl(-z, e), -pi, FE_INEXACT); - test2(atan2l, ldexpl(z, e), 0.0, pi / 2, FE_INEXACT); - test2(atan2l, ldexpl(z, e), -0.0, pi / 2, FE_INEXACT); - test2(atan2l, ldexpl(-z, e), 0.0, -pi / 2, FE_INEXACT); - test2(atan2l, ldexpl(-z, e), -0.0, -pi / 2, FE_INEXACT); - } - - /* Tests with one input in the range (0, Inf). */ - for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP - 1; e++) { - test2(atan2f, ldexpf(z, e), INFINITY, 0.0, 0); - test2(atan2f, ldexpf(-z,e), INFINITY, -0.0, 0); - test2(atan2f, ldexpf(z, e), -INFINITY, (float)pi, FE_INEXACT); - test2(atan2f, ldexpf(-z,e), -INFINITY, (float)-pi, FE_INEXACT); - test2(atan2f, INFINITY, ldexpf(z,e), (float)pi/2, FE_INEXACT); - test2(atan2f, INFINITY, ldexpf(-z,e), (float)pi/2, FE_INEXACT); - test2(atan2f, -INFINITY, ldexpf(z,e), (float)-pi/2,FE_INEXACT); - test2(atan2f, -INFINITY, ldexpf(-z,e),(float)-pi/2,FE_INEXACT); - } - for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP - 1; e++) { - test2(atan2, ldexp(z, e), INFINITY, 0.0, 0); - test2(atan2, ldexp(-z,e), INFINITY, -0.0, 0); - test2(atan2, ldexp(z, e), -INFINITY, (double)pi, FE_INEXACT); - test2(atan2, ldexp(-z,e), -INFINITY, (double)-pi, FE_INEXACT); - test2(atan2, INFINITY, ldexp(z,e), (double)pi/2, FE_INEXACT); - test2(atan2, INFINITY, ldexp(-z,e), (double)pi/2, FE_INEXACT); - test2(atan2, -INFINITY, ldexp(z,e), (double)-pi/2,FE_INEXACT); - test2(atan2, -INFINITY, ldexp(-z,e),(double)-pi/2,FE_INEXACT); - } - for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP - 1; e++) { - test2(atan2l, ldexpl(z, e), INFINITY, 0.0, 0); - test2(atan2l, ldexpl(-z,e), INFINITY, -0.0, 0); - test2(atan2l, ldexpl(z, e), -INFINITY, pi, FE_INEXACT); - test2(atan2l, ldexpl(-z,e), -INFINITY, -pi, FE_INEXACT); - test2(atan2l, INFINITY, ldexpl(z, e), pi / 2, FE_INEXACT); - test2(atan2l, INFINITY, ldexpl(-z, e), pi / 2, FE_INEXACT); - test2(atan2l, -INFINITY, ldexpl(z, e), -pi / 2, FE_INEXACT); - test2(atan2l, -INFINITY, ldexpl(-z, e), -pi / 2, FE_INEXACT); - } -} - -/* - * Test various inputs to asin(), acos() and atan() and verify that the - * results are accurate to within 1 ulp. - */ -static void -test_accuracy(void) -{ - - /* We expect correctly rounded results for these basic cases. */ - testall(asin, 1.0, pi / 2, FE_INEXACT); - testall(acos, 1.0, 0, 0); - testall(atan, 1.0, pi / 4, FE_INEXACT); - testall(asin, -1.0, -pi / 2, FE_INEXACT); - testall(acos, -1.0, pi, FE_INEXACT); - testall(atan, -1.0, -pi / 4, FE_INEXACT); - - /* - * Here we expect answers to be within 1 ulp, although inexactness - * in the input, combined with double rounding, could cause larger - * errors. - */ - - testall_tol(asin, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT); - testall_tol(acos, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT); - testall_tol(asin, -sqrtl(2) / 2, -pi / 4, 1, FE_INEXACT); - testall_tol(acos, -sqrtl(2) / 2, c3pi / 4, 1, FE_INEXACT); - - testall_tol(asin, sqrtl(3) / 2, pio3, 1, FE_INEXACT); - testall_tol(acos, sqrtl(3) / 2, pio3 / 2, 1, FE_INEXACT); - testall_tol(atan, sqrtl(3), pio3, 1, FE_INEXACT); - testall_tol(asin, -sqrtl(3) / 2, -pio3, 1, FE_INEXACT); - testall_tol(acos, -sqrtl(3) / 2, c5pio3 / 2, 1, FE_INEXACT); - testall_tol(atan, -sqrtl(3), -pio3, 1, FE_INEXACT); - - testall_tol(atan, sqrt2m1, pi / 8, 1, FE_INEXACT); - testall_tol(atan, -sqrt2m1, -pi / 8, 1, FE_INEXACT); -} - -/* - * Test inputs to atan2() where x is a power of 2. These are easy cases - * because y/x is exact. - */ -static void -test_p2x_atan2(void) -{ - - testall2(atan2, 1.0, 1.0, pi / 4, FE_INEXACT); - testall2(atan2, 1.0, -1.0, c3pi / 4, FE_INEXACT); - testall2(atan2, -1.0, 1.0, -pi / 4, FE_INEXACT); - testall2(atan2, -1.0, -1.0, -c3pi / 4, FE_INEXACT); - - testall2_tol(atan2, sqrt2m1 * 2, 2.0, pi / 8, 1, FE_INEXACT); - testall2_tol(atan2, sqrt2m1 * 2, -2.0, c7pi / 8, 1, FE_INEXACT); - testall2_tol(atan2, -sqrt2m1 * 2, 2.0, -pi / 8, 1, FE_INEXACT); - testall2_tol(atan2, -sqrt2m1 * 2, -2.0, -c7pi / 8, 1, FE_INEXACT); - - testall2_tol(atan2, sqrtl(3) * 0.5, 0.5, pio3, 1, FE_INEXACT); - testall2_tol(atan2, sqrtl(3) * 0.5, -0.5, pio3 * 2, 1, FE_INEXACT); - testall2_tol(atan2, -sqrtl(3) * 0.5, 0.5, -pio3, 1, FE_INEXACT); - testall2_tol(atan2, -sqrtl(3) * 0.5, -0.5, -pio3 * 2, 1, FE_INEXACT); -} - -/* - * Test inputs very close to 0. - */ -static void -test_tiny(void) -{ - float tiny = 0x1.23456p-120f; - - testall(asin, tiny, tiny, FE_INEXACT); - testall(acos, tiny, pi / 2, FE_INEXACT); - testall(atan, tiny, tiny, FE_INEXACT); - - testall(asin, -tiny, -tiny, FE_INEXACT); - testall(acos, -tiny, pi / 2, FE_INEXACT); - testall(atan, -tiny, -tiny, FE_INEXACT); - - /* Test inputs to atan2() that would cause y/x to underflow. */ - test2(atan2f, 0x1.0p-100, 0x1.0p100, 0.0, FE_INEXACT | FE_UNDERFLOW); - test2(atan2, 0x1.0p-1000, 0x1.0p1000, 0.0, FE_INEXACT | FE_UNDERFLOW); - test2(atan2l, ldexpl(1.0, 100 - LDBL_MAX_EXP), - ldexpl(1.0, LDBL_MAX_EXP - 100), 0.0, FE_INEXACT | FE_UNDERFLOW); - test2(atan2f, -0x1.0p-100, 0x1.0p100, -0.0, FE_INEXACT | FE_UNDERFLOW); - test2(atan2, -0x1.0p-1000, 0x1.0p1000, -0.0, FE_INEXACT | FE_UNDERFLOW); - test2(atan2l, -ldexpl(1.0, 100 - LDBL_MAX_EXP), - ldexpl(1.0, LDBL_MAX_EXP - 100), -0.0, FE_INEXACT | FE_UNDERFLOW); - test2(atan2f, 0x1.0p-100, -0x1.0p100, (float)pi, FE_INEXACT); - test2(atan2, 0x1.0p-1000, -0x1.0p1000, (double)pi, FE_INEXACT); - test2(atan2l, ldexpl(1.0, 100 - LDBL_MAX_EXP), - -ldexpl(1.0, LDBL_MAX_EXP - 100), pi, FE_INEXACT); - test2(atan2f, -0x1.0p-100, -0x1.0p100, (float)-pi, FE_INEXACT); - test2(atan2, -0x1.0p-1000, -0x1.0p1000, (double)-pi, FE_INEXACT); - test2(atan2l, -ldexpl(1.0, 100 - LDBL_MAX_EXP), - -ldexpl(1.0, LDBL_MAX_EXP - 100), -pi, FE_INEXACT); -} - -/* - * Test very large inputs to atan(). - */ -static void -test_atan_huge(void) -{ - float huge = 0x1.23456p120; - - testall(atan, huge, pi / 2, FE_INEXACT); - testall(atan, -huge, -pi / 2, FE_INEXACT); - - /* Test inputs to atan2() that would cause y/x to overflow. */ - test2(atan2f, 0x1.0p100, 0x1.0p-100, (float)pi / 2, FE_INEXACT); - test2(atan2, 0x1.0p1000, 0x1.0p-1000, (double)pi / 2, FE_INEXACT); - test2(atan2l, ldexpl(1.0, LDBL_MAX_EXP - 100), - ldexpl(1.0, 100 - LDBL_MAX_EXP), pi / 2, FE_INEXACT); - test2(atan2f, -0x1.0p100, 0x1.0p-100, (float)-pi / 2, FE_INEXACT); - test2(atan2, -0x1.0p1000, 0x1.0p-1000, (double)-pi / 2, FE_INEXACT); - test2(atan2l, -ldexpl(1.0, LDBL_MAX_EXP - 100), - ldexpl(1.0, 100 - LDBL_MAX_EXP), -pi / 2, FE_INEXACT); - - test2(atan2f, 0x1.0p100, -0x1.0p-100, (float)pi / 2, FE_INEXACT); - test2(atan2, 0x1.0p1000, -0x1.0p-1000, (double)pi / 2, FE_INEXACT); - test2(atan2l, ldexpl(1.0, LDBL_MAX_EXP - 100), - -ldexpl(1.0, 100 - LDBL_MAX_EXP), pi / 2, FE_INEXACT); - test2(atan2f, -0x1.0p100, -0x1.0p-100, (float)-pi / 2, FE_INEXACT); - test2(atan2, -0x1.0p1000, -0x1.0p-1000, (double)-pi / 2, FE_INEXACT); - test2(atan2l, -ldexpl(1.0, LDBL_MAX_EXP - 100), - -ldexpl(1.0, 100 - LDBL_MAX_EXP), -pi / 2, FE_INEXACT); -} - -/* - * Test that sin(asin(x)) == x, and similarly for acos() and atan(). - * You need to have a working sinl(), cosl(), and tanl() for these - * tests to pass. - */ -static long double -sinasinf(float x) -{ - - return (sinl(asinf(x))); -} - -static long double -sinasin(double x) -{ - - return (sinl(asin(x))); -} - -static long double -sinasinl(long double x) -{ - - return (sinl(asinl(x))); -} - -static long double -cosacosf(float x) -{ - - return (cosl(acosf(x))); -} - -static long double -cosacos(double x) -{ - - return (cosl(acos(x))); -} - -static long double -cosacosl(long double x) -{ - - return (cosl(acosl(x))); -} - -static long double -tanatanf(float x) -{ - - return (tanl(atanf(x))); -} - -static long double -tanatan(double x) -{ - - return (tanl(atan(x))); -} - -static long double -tanatanl(long double x) -{ - - return (tanl(atanl(x))); -} - -static void -test_inverse(void) -{ - float i; - - for (i = -1; i <= 1; i += 0x1.0p-12f) { - testall_tol(sinasin, i, i, 2, i == 0 ? 0 : FE_INEXACT); - /* The relative error for cosacos is very large near x=0. */ - if (fabsf(i) > 0x1.0p-4f) - testall_tol(cosacos, i, i, 16, i == 1 ? 0 : FE_INEXACT); - testall_tol(tanatan, i, i, 2, i == 0 ? 0 : FE_INEXACT); - } -} - -int -main(int argc, char *argv[]) -{ - -#if defined(__i386__) - printf("1..0 # SKIP fails all assertions on i386\n"); - return (0); -#endif - - printf("1..7\n"); - - test_special(); - printf("ok 1 - special\n"); - - test_special_atan2(); - printf("ok 2 - atan2 special\n"); - - test_accuracy(); - printf("ok 3 - accuracy\n"); - - test_p2x_atan2(); - printf("ok 4 - atan2 p2x\n"); - - test_tiny(); - printf("ok 5 - tiny inputs\n"); - - test_atan_huge(); - printf("ok 6 - atan huge inputs\n"); - - test_inverse(); - printf("ok 7 - inverse\n"); - - return (0); -} |
