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author | das <das@FreeBSD.org> | 2007-12-15 09:16:26 +0000 |
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committer | das <das@FreeBSD.org> | 2007-12-15 09:16:26 +0000 |
commit | 9a8df6cba78483c7a0813bbdd0de92eed7272231 (patch) | |
tree | 51426d7b2c96082075f399742661ad703480d114 /tools/regression/lib | |
parent | 53fc314c85e10d346c45d3552db14e1d5137656c (diff) | |
download | FreeBSD-src-9a8df6cba78483c7a0813bbdd0de92eed7272231.zip FreeBSD-src-9a8df6cba78483c7a0813bbdd0de92eed7272231.tar.gz |
Regression tests for csqrt(3).
Diffstat (limited to 'tools/regression/lib')
-rw-r--r-- | tools/regression/lib/msun/Makefile | 3 | ||||
-rw-r--r-- | tools/regression/lib/msun/test-csqrt.c | 294 | ||||
-rw-r--r-- | tools/regression/lib/msun/test-csqrt.t | 10 |
3 files changed, 306 insertions, 1 deletions
diff --git a/tools/regression/lib/msun/Makefile b/tools/regression/lib/msun/Makefile index 696cf30..eb26878 100644 --- a/tools/regression/lib/msun/Makefile +++ b/tools/regression/lib/msun/Makefile @@ -1,6 +1,7 @@ # $FreeBSD$ -TESTS= test-fenv test-ilogb test-lrint test-lround test-next test-rem +TESTS= test-csqrt test-fenv test-ilogb test-lrint \ + test-lround test-next test-rem CFLAGS+= -O0 -lm ARCH!= uname -m diff --git a/tools/regression/lib/msun/test-csqrt.c b/tools/regression/lib/msun/test-csqrt.c new file mode 100644 index 0000000..b5bc241 --- /dev/null +++ b/tools/regression/lib/msun/test-csqrt.c @@ -0,0 +1,294 @@ +/*- + * Copyright (c) 2007 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 csqrt{,f}() + */ + +#include <sys/cdefs.h> +__FBSDID("$FreeBSD$"); + +#include <assert.h> +#include <complex.h> +#include <float.h> +#include <math.h> +#include <stdio.h> + +#define N(i) (sizeof(i) / sizeof((i)[0])) + +/* + * This is a test hook that can point to csqrt(), or to _csqrtf(), + * which converts to float and tests csqrtf() with the same arguments. + */ +double complex (*t_csqrt)(double complex); + +static double complex +_csqrtf(double complex d) +{ + + return (csqrtf((float complex)d)); +} + +#pragma STDC CX_LIMITED_RANGE off + +/* + * XXX gcc implements complex multiplication incorrectly. In + * particular, it implements it as if the CX_LIMITED_RANGE pragma + * were ON. Consequently, we need this function to form numbers + * such as x + INFINITY * I, since gcc evalutes INFINITY * I as + * NaN + INFINITY * I. + */ +static inline double complex +cpack(double x, double y) +{ + double complex z; + + __real__ z = x; + __imag__ z = y; + return (z); +} + +/* + * Compare d1 and d2 using special rules: NaN == NaN and +0 != -0. + * Fail an assertion if they differ. + */ +static void +assert_equal(double complex d1, double complex d2) +{ + + if (isnan(creal(d1))) { + assert(isnan(creal(d2))); + } else { + assert(creal(d1) == creal(d2)); + assert(copysign(1.0, creal(d1)) == copysign(1.0, creal(d2))); + } + if (isnan(cimag(d1))) { + assert(isnan(cimag(d2))); + } else { + assert(cimag(d1) == cimag(d2)); + assert(copysign(1.0, cimag(d1)) == copysign(1.0, cimag(d2))); + } +} + +/* + * Test csqrt for some finite arguments where the answer is exact. + * (We do not test if it produces correctly rounded answers when the + * result is inexact, nor do we check whether it throws spurious + * exceptions.) + */ +static void +test_finite() +{ + static const double tests[] = { + /* csqrt(a + bI) = x + yI */ + /* a b x y */ + 0, 8, 2, 2, + 0, -8, 2, -2, + 4, 0, 2, 0, + -4, 0, 0, 2, + 3, 4, 2, 1, + 3, -4, 2, -1, + -3, 4, 1, 2, + -3, -4, 1, -2, + 5, 12, 3, 2, + 7, 24, 4, 3, + 9, 40, 5, 4, + 11, 60, 6, 5, + 13, 84, 7, 6, + 33, 56, 7, 4, + 39, 80, 8, 5, + 65, 72, 9, 4, + 987, 9916, 74, 67, + 5289, 6640, 83, 40, + 460766389075.0, 16762287900.0, 678910, 12345 + }; + /* + * We also test some multiples of the above arguments. This + * array defines which multiples we use. Note that these have + * to be small enough to not cause overflow for float precision + * with all of the constants in the above table. + */ + static const double mults[] = { + 1, + 2, + 3, + 13, + 16, + 0x1.p30, + 0x1.p-30, + }; + + double a, b; + double x, y; + int i, j; + + for (i = 0; i < N(tests); i += 4) { + for (j = 0; j < N(mults); j++) { + a = tests[i] * mults[j] * mults[j]; + b = tests[i + 1] * mults[j] * mults[j]; + x = tests[i + 2] * mults[j]; + y = tests[i + 3] * mults[j]; + assert(t_csqrt(cpack(a, b)) == cpack(x, y)); + } + } + +} + +/* + * Test the handling of +/- 0. + */ +static void +test_zeros() +{ + + assert_equal(t_csqrt(cpack(0.0, 0.0)), cpack(0.0, 0.0)); + assert_equal(t_csqrt(cpack(-0.0, 0.0)), cpack(0.0, 0.0)); + assert_equal(t_csqrt(cpack(0.0, -0.0)), cpack(0.0, -0.0)); + assert_equal(t_csqrt(cpack(-0.0, -0.0)), cpack(0.0, -0.0)); +} + +/* + * Test the handling of infinities when the other argument is not NaN. + */ +static void +test_infinities() +{ + static const double vals[] = { + 0.0, + -0.0, + 42.0, + -42.0, + INFINITY, + -INFINITY, + }; + + int i; + + for (i = 0; i < N(vals); i++) { + if (isfinite(vals[i])) { + assert_equal(t_csqrt(cpack(-INFINITY, vals[i])), + cpack(0.0, copysign(INFINITY, vals[i]))); + assert_equal(t_csqrt(cpack(INFINITY, vals[i])), + cpack(INFINITY, copysign(0.0, vals[i]))); + } + assert_equal(t_csqrt(cpack(vals[i], INFINITY)), + cpack(INFINITY, INFINITY)); + assert_equal(t_csqrt(cpack(vals[i], -INFINITY)), + cpack(INFINITY, -INFINITY)); + } +} + +/* + * Test the handling of NaNs. + */ +static void +test_nans() +{ + + assert(creal(t_csqrt(cpack(INFINITY, NAN))) == INFINITY); + assert(isnan(cimag(t_csqrt(cpack(INFINITY, NAN))))); + + assert(isnan(creal(t_csqrt(cpack(-INFINITY, NAN))))); + assert(isinf(cimag(t_csqrt(cpack(-INFINITY, NAN))))); + + assert_equal(t_csqrt(cpack(NAN, INFINITY)), cpack(INFINITY, INFINITY)); + assert_equal(t_csqrt(cpack(NAN, -INFINITY)), + cpack(INFINITY, -INFINITY)); + + assert_equal(t_csqrt(cpack(0.0, NAN)), cpack(NAN, NAN)); + assert_equal(t_csqrt(cpack(-0.0, NAN)), cpack(NAN, NAN)); + assert_equal(t_csqrt(cpack(42.0, NAN)), cpack(NAN, NAN)); + assert_equal(t_csqrt(cpack(-42.0, NAN)), cpack(NAN, NAN)); + assert_equal(t_csqrt(cpack(NAN, 0.0)), cpack(NAN, NAN)); + assert_equal(t_csqrt(cpack(NAN, -0.0)), cpack(NAN, NAN)); + assert_equal(t_csqrt(cpack(NAN, 42.0)), cpack(NAN, NAN)); + assert_equal(t_csqrt(cpack(NAN, -42.0)), cpack(NAN, NAN)); + assert_equal(t_csqrt(cpack(NAN, NAN)), cpack(NAN, NAN)); +} + +/* + * Test whether csqrt(a + bi) works for inputs that are large enough to + * cause overflow in hypot(a, b) + a. In this case we are using + * csqrt(115 + 252*I) == 14 + 9*I + * scaled up to near MAX_EXP. + */ +static void +test_overflow(int maxexp) +{ + double a, b; + double complex result; + + a = ldexp(115 * 0x1p-8, maxexp); + b = ldexp(252 * 0x1p-8, maxexp); + result = t_csqrt(cpack(a, b)); + assert(creal(result) == ldexp(14 * 0x1p-4, maxexp / 2)); + assert(cimag(result) == ldexp(9 * 0x1p-4, maxexp / 2)); +} + +int +main(int argc, char *argv[]) +{ + + printf("1..10\n"); + + /* Test csqrt() */ + t_csqrt = csqrt; + + test_finite(); + printf("ok 1 - csqrt\n"); + + test_zeros(); + printf("ok 2 - csqrt\n"); + + test_infinities(); + printf("ok 3 - csqrt\n"); + + test_nans(); + printf("ok 4 - csqrt\n"); + + test_overflow(DBL_MAX_EXP); + printf("ok 5 - csqrt\n"); + + /* Now test csqrtf() */ + t_csqrt = _csqrtf; + + test_finite(); + printf("ok 6 - csqrt\n"); + + test_zeros(); + printf("ok 7 - csqrt\n"); + + test_infinities(); + printf("ok 8 - csqrt\n"); + + test_nans(); + printf("ok 9 - csqrt\n"); + + test_overflow(FLT_MAX_EXP); + printf("ok 10 - csqrt\n"); + + return (0); +} diff --git a/tools/regression/lib/msun/test-csqrt.t b/tools/regression/lib/msun/test-csqrt.t new file mode 100644 index 0000000..8bdfd03 --- /dev/null +++ b/tools/regression/lib/msun/test-csqrt.t @@ -0,0 +1,10 @@ +#!/bin/sh +# $FreeBSD$ + +cd `dirname $0` + +executable=`basename $0 .t` + +make $executable 2>&1 > /dev/null + +exec ./$executable |