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Diffstat (limited to 'lib/msun/tests/cexp_test.c')
| -rw-r--r-- | lib/msun/tests/cexp_test.c | 322 |
1 files changed, 322 insertions, 0 deletions
diff --git a/lib/msun/tests/cexp_test.c b/lib/msun/tests/cexp_test.c new file mode 100644 index 0000000..6be71ad --- /dev/null +++ b/lib/msun/tests/cexp_test.c @@ -0,0 +1,322 @@ +/*- + * Copyright (c) 2008-2011 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 cexp*(). + */ + +#include <sys/cdefs.h> +__FBSDID("$FreeBSD$"); + +#include <sys/param.h> + +#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. In some cases, + * whether cexp() raises an invalid exception is unspecified. + * + * 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(func, z, result, exceptmask, excepts, checksign) do { \ + volatile long double complex _d = z; \ + 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. */ +#define test_tol(func, z, result, tol) do { \ + volatile long double complex _d = z; \ + assert(cfpequal_tol((func)(_d), (result), (tol), \ + FPE_ABS_ZERO | CS_BOTH)); \ +} while (0) + +/* Test all the functions that compute cexp(x). */ +#define testall(x, result, exceptmask, excepts, checksign) do { \ + test(cexp, x, result, exceptmask, excepts, checksign); \ + test(cexpf, x, result, exceptmask, excepts, checksign); \ +} while (0) + +/* + * Test all the functions that compute cexp(x), within a given tolerance. + * The tolerance is specified in ulps. + */ +#define testall_tol(x, result, tol) do { \ + test_tol(cexp, x, result, tol * DBL_ULP()); \ + test_tol(cexpf, x, result, tol * FLT_ULP()); \ +} while (0) + +/* Various finite non-zero numbers to test. */ +static const float finites[] = +{ -42.0e20, -1.0, -1.0e-10, -0.0, 0.0, 1.0e-10, 1.0, 42.0e20 }; + + +/* Tests for 0 */ +void +test_zero(void) +{ + + /* cexp(0) = 1, no exceptions raised */ + testall(0.0, 1.0, ALL_STD_EXCEPT, 0, 1); + testall(-0.0, 1.0, ALL_STD_EXCEPT, 0, 1); + testall(CMPLXL(0.0, -0.0), CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, 1); + testall(CMPLXL(-0.0, -0.0), CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, 1); +} + +/* + * Tests for NaN. The signs of the results are indeterminate unless the + * imaginary part is 0. + */ +void +test_nan() +{ + int i; + + /* cexp(x + NaNi) = NaN + NaNi and optionally raises invalid */ + /* cexp(NaN + yi) = NaN + NaNi and optionally raises invalid (|y|>0) */ + for (i = 0; i < nitems(finites); i++) { + printf("# Run %d..\n", i); + testall(CMPLXL(finites[i], NAN), CMPLXL(NAN, NAN), + ALL_STD_EXCEPT & ~FE_INVALID, 0, 0); + if (finites[i] == 0.0) + continue; + /* XXX FE_INEXACT shouldn't be raised here */ + testall(CMPLXL(NAN, finites[i]), CMPLXL(NAN, NAN), + ALL_STD_EXCEPT & ~(FE_INVALID | FE_INEXACT), 0, 0); + } + + /* cexp(NaN +- 0i) = NaN +- 0i */ + testall(CMPLXL(NAN, 0.0), CMPLXL(NAN, 0.0), ALL_STD_EXCEPT, 0, 1); + testall(CMPLXL(NAN, -0.0), CMPLXL(NAN, -0.0), ALL_STD_EXCEPT, 0, 1); + + /* cexp(inf + NaN i) = inf + nan i */ + testall(CMPLXL(INFINITY, NAN), CMPLXL(INFINITY, NAN), + ALL_STD_EXCEPT, 0, 0); + /* cexp(-inf + NaN i) = 0 */ + testall(CMPLXL(-INFINITY, NAN), CMPLXL(0.0, 0.0), + ALL_STD_EXCEPT, 0, 0); + /* cexp(NaN + NaN i) = NaN + NaN i */ + testall(CMPLXL(NAN, NAN), CMPLXL(NAN, NAN), + ALL_STD_EXCEPT, 0, 0); +} + +void +test_inf(void) +{ + int i; + + /* cexp(x + inf i) = NaN + NaNi and raises invalid */ + for (i = 0; i < nitems(finites); i++) { + printf("# Run %d..\n", i); + testall(CMPLXL(finites[i], INFINITY), CMPLXL(NAN, NAN), + ALL_STD_EXCEPT, FE_INVALID, 1); + } + /* cexp(-inf + yi) = 0 * (cos(y) + sin(y)i) */ + /* XXX shouldn't raise an inexact exception */ + testall(CMPLXL(-INFINITY, M_PI_4), CMPLXL(0.0, 0.0), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + testall(CMPLXL(-INFINITY, 3 * M_PI_4), CMPLXL(-0.0, 0.0), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + testall(CMPLXL(-INFINITY, 5 * M_PI_4), CMPLXL(-0.0, -0.0), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + testall(CMPLXL(-INFINITY, 7 * M_PI_4), CMPLXL(0.0, -0.0), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + testall(CMPLXL(-INFINITY, 0.0), CMPLXL(0.0, 0.0), + ALL_STD_EXCEPT, 0, 1); + testall(CMPLXL(-INFINITY, -0.0), CMPLXL(0.0, -0.0), + ALL_STD_EXCEPT, 0, 1); + /* cexp(inf + yi) = inf * (cos(y) + sin(y)i) (except y=0) */ + /* XXX shouldn't raise an inexact exception */ + testall(CMPLXL(INFINITY, M_PI_4), CMPLXL(INFINITY, INFINITY), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + testall(CMPLXL(INFINITY, 3 * M_PI_4), CMPLXL(-INFINITY, INFINITY), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + testall(CMPLXL(INFINITY, 5 * M_PI_4), CMPLXL(-INFINITY, -INFINITY), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + testall(CMPLXL(INFINITY, 7 * M_PI_4), CMPLXL(INFINITY, -INFINITY), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + /* cexp(inf + 0i) = inf + 0i */ + testall(CMPLXL(INFINITY, 0.0), CMPLXL(INFINITY, 0.0), + ALL_STD_EXCEPT, 0, 1); + testall(CMPLXL(INFINITY, -0.0), CMPLXL(INFINITY, -0.0), + ALL_STD_EXCEPT, 0, 1); +} + +void +test_reals(void) +{ + int i; + + for (i = 0; i < nitems(finites); i++) { + /* XXX could check exceptions more meticulously */ + printf("# Run %d..\n", i); + test(cexp, CMPLXL(finites[i], 0.0), + CMPLXL(exp(finites[i]), 0.0), + FE_INVALID | FE_DIVBYZERO, 0, 1); + test(cexp, CMPLXL(finites[i], -0.0), + CMPLXL(exp(finites[i]), -0.0), + FE_INVALID | FE_DIVBYZERO, 0, 1); + test(cexpf, CMPLXL(finites[i], 0.0), + CMPLXL(expf(finites[i]), 0.0), + FE_INVALID | FE_DIVBYZERO, 0, 1); + test(cexpf, CMPLXL(finites[i], -0.0), + CMPLXL(expf(finites[i]), -0.0), + FE_INVALID | FE_DIVBYZERO, 0, 1); + } +} + +void +test_imaginaries(void) +{ + int i; + + for (i = 0; i < nitems(finites); i++) { + printf("# Run %d..\n", i); + test(cexp, CMPLXL(0.0, finites[i]), + CMPLXL(cos(finites[i]), sin(finites[i])), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + test(cexp, CMPLXL(-0.0, finites[i]), + CMPLXL(cos(finites[i]), sin(finites[i])), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + test(cexpf, CMPLXL(0.0, finites[i]), + CMPLXL(cosf(finites[i]), sinf(finites[i])), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + test(cexpf, CMPLXL(-0.0, finites[i]), + CMPLXL(cosf(finites[i]), sinf(finites[i])), + ALL_STD_EXCEPT & ~FE_INEXACT, 0, 1); + } +} + +void +test_small(void) +{ + static const double tests[] = { + /* csqrt(a + bI) = x + yI */ + /* a b x y */ + 1.0, M_PI_4, M_SQRT2 * 0.5 * M_E, M_SQRT2 * 0.5 * M_E, + -1.0, M_PI_4, M_SQRT2 * 0.5 / M_E, M_SQRT2 * 0.5 / M_E, + 2.0, M_PI_2, 0.0, M_E * M_E, + M_LN2, M_PI, -2.0, 0.0, + }; + double a, b; + double x, y; + int i; + + for (i = 0; i < nitems(tests); i += 4) { + printf("# Run %d..\n", i); + a = tests[i]; + b = tests[i + 1]; + x = tests[i + 2]; + y = tests[i + 3]; + test_tol(cexp, CMPLXL(a, b), CMPLXL(x, y), 3 * DBL_ULP()); + + /* float doesn't have enough precision to pass these tests */ + if (x == 0 || y == 0) + continue; + test_tol(cexpf, CMPLXL(a, b), CMPLXL(x, y), 1 * FLT_ULP()); + } +} + +/* Test inputs with a real part r that would overflow exp(r). */ +void +test_large(void) +{ + + test_tol(cexp, CMPLXL(709.79, 0x1p-1074), + CMPLXL(INFINITY, 8.94674309915433533273e-16), DBL_ULP()); + test_tol(cexp, CMPLXL(1000, 0x1p-1074), + CMPLXL(INFINITY, 9.73344457300016401328e+110), DBL_ULP()); + test_tol(cexp, CMPLXL(1400, 0x1p-1074), + CMPLXL(INFINITY, 5.08228858149196559681e+284), DBL_ULP()); + test_tol(cexp, CMPLXL(900, 0x1.23456789abcdep-1020), + CMPLXL(INFINITY, 7.42156649354218408074e+83), DBL_ULP()); + test_tol(cexp, CMPLXL(1300, 0x1.23456789abcdep-1020), + CMPLXL(INFINITY, 3.87514844965996756704e+257), DBL_ULP()); + + test_tol(cexpf, CMPLXL(88.73, 0x1p-149), + CMPLXL(INFINITY, 4.80265603e-07), 2 * FLT_ULP()); + test_tol(cexpf, CMPLXL(90, 0x1p-149), + CMPLXL(INFINITY, 1.7101492622e-06f), 2 * FLT_ULP()); + test_tol(cexpf, CMPLXL(192, 0x1p-149), + CMPLXL(INFINITY, 3.396809344e+38f), 2 * FLT_ULP()); + test_tol(cexpf, CMPLXL(120, 0x1.234568p-120), + CMPLXL(INFINITY, 1.1163382522e+16f), 2 * FLT_ULP()); + test_tol(cexpf, CMPLXL(170, 0x1.234568p-120), + CMPLXL(INFINITY, 5.7878851079e+37f), 2 * FLT_ULP()); +} + +int +main(int argc, char *argv[]) +{ + + printf("1..7\n"); + + test_zero(); + printf("ok 1 - cexp zero\n"); + + test_nan(); + printf("ok 2 - cexp nan\n"); + + test_inf(); + printf("ok 3 - cexp inf\n"); + +#if defined(__i386__) + printf("not ok 4 - cexp reals # TODO: PR # 191676 fails assertion on i386\n"); +#else + test_reals(); + printf("ok 4 - cexp reals\n"); +#endif + + test_imaginaries(); + printf("ok 5 - cexp imaginaries\n"); + + test_small(); + printf("ok 6 - cexp small\n"); + + test_large(); + printf("ok 7 - cexp large\n"); + + return (0); +} |
