Date: Mon, 18 Jan 2016 03:55:40 +0000 (UTC) From: Garrett Cooper <ngie@FreeBSD.org> To: src-committers@freebsd.org, svn-src-all@freebsd.org, svn-src-stable@freebsd.org, svn-src-stable-10@freebsd.org Subject: svn commit: r294243 - stable/10/lib/msun/tests Message-ID: <201601180355.u0I3teA2096891@repo.freebsd.org>
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Author: ngie Date: Mon Jan 18 03:55:40 2016 New Revision: 294243 URL: https://svnweb.freebsd.org/changeset/base/294243 Log: MFC r292497: Integrate the remaining tools/regression/lib/msun testcases into the FreeBSD test suite under lib/msun/tests Added: stable/10/lib/msun/tests/ctrig_test.c - copied unchanged from r292497, head/lib/msun/tests/ctrig_test.c stable/10/lib/msun/tests/exponential_test.c - copied unchanged from r292497, head/lib/msun/tests/exponential_test.c stable/10/lib/msun/tests/fma_test.c - copied unchanged from r292497, head/lib/msun/tests/fma_test.c stable/10/lib/msun/tests/invtrig_test.c - copied unchanged from r292497, head/lib/msun/tests/invtrig_test.c stable/10/lib/msun/tests/lround_test.c - copied unchanged from r292497, head/lib/msun/tests/lround_test.c stable/10/lib/msun/tests/lround_test.t - copied unchanged from r292497, head/lib/msun/tests/lround_test.t stable/10/lib/msun/tests/test-utils.h - copied unchanged from r292497, head/lib/msun/tests/test-utils.h Modified: stable/10/lib/msun/tests/Makefile Directory Properties: stable/10/ (props changed) Modified: stable/10/lib/msun/tests/Makefile ============================================================================== --- stable/10/lib/msun/tests/Makefile Mon Jan 18 03:52:44 2016 (r294242) +++ stable/10/lib/msun/tests/Makefile Mon Jan 18 03:55:40 2016 (r294243) @@ -39,12 +39,19 @@ NETBSD_ATF_TESTS_C+= tanh_test TAP_TESTS_C+= cexp_test TAP_TESTS_C+= conj_test TAP_TESTS_C+= csqrt_test +TAP_TESTS_C+= ctrig_test +TAP_TESTS_C+= exponential_test TAP_TESTS_C+= fenv_test +TAP_TESTS_C+= fma_test TAP_TESTS_C+= fmaxmin_test TAP_TESTS_C+= ilogb_test +TAP_TESTS_C+= invtrig_test TAP_TESTS_C+= invctrig_test TAP_TESTS_C+= logarithm_test TAP_TESTS_C+= lrint_test +# XXX: the testcase crashes on all platforms, but only on head +# (bug 205451) +#TAP_TESTS_C+= lround_test TAP_TESTS_C+= nan_test TAP_TESTS_C+= nearbyint_test TAP_TESTS_C+= next_test @@ -53,7 +60,6 @@ TAP_TESTS_C+= trig_test .for t in ${TAP_TESTS_C} CFLAGS.$t+= -O0 -CFLAGS.$t+= -I${SRCTOP}/tools/regression/lib/msun .endfor CSTD= c99 Copied: stable/10/lib/msun/tests/ctrig_test.c (from r292497, head/lib/msun/tests/ctrig_test.c) ============================================================================== --- /dev/null 00:00:00 1970 (empty, because file is newly added) +++ stable/10/lib/msun/tests/ctrig_test.c Mon Jan 18 03:55:40 2016 (r294243, copy of r292497, head/lib/msun/tests/ctrig_test.c) @@ -0,0 +1,482 @@ +/*- + * 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 csin[h](), ccos[h](), and ctan[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. If result is 0, however, it measures absolute error in units + * of <format>_EPSILON. + */ +#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), FPE_ABS_ZERO)); \ +} 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) +#define test_odd_tol(func, z, result, tol) do { \ + test_tol(func, z, result, tol); \ + test_tol(func, -(z), -(result), tol); \ +} while (0) +#define test_even_tol(func, z, result, tol) do { \ + test_tol(func, z, result, tol); \ + test_tol(func, -(z), 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 { \ + test_odd_tol(func, x, result, tol * DBL_ULP()); \ + test_odd_tol(func##f, x, result, tol * FLT_ULP()); \ +} while (0) +#define testall_even_tol(func, x, result, tol) do { \ + test_even_tol(func, x, result, tol * DBL_ULP()); \ + test_even_tol(func##f, x, result, tol * FLT_ULP()); \ +} while (0) + + +/* Tests for 0 */ +void +test_zero(void) +{ + long double complex zero = CMPLXL(0.0, 0.0); + + /* csinh(0) = ctanh(0) = 0; ccosh(0) = 1 (no exceptions raised) */ + testall_odd(csinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); + testall_odd(csin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); + testall_even(ccosh, zero, 1.0, ALL_STD_EXCEPT, 0, CS_BOTH); + testall_even(ccos, zero, CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, CS_BOTH); + testall_odd(ctanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); + testall_odd(ctan, 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 CSINH CCOSH CTANH + * NaN,NaN NaN,NaN NaN,NaN NaN,NaN + * finite,NaN NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] + * NaN,finite NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] + * NaN,Inf NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] + * Inf,NaN +-Inf,NaN Inf,NaN 1,+-0 + * 0,NaN +-0,NaN NaN,+-0 NaN,NaN [inval] + * NaN,0 NaN,0 NaN,+-0 NaN,0 + */ + z = nan_nan; + testall_odd(csinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); + testall_even(ccosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); + testall_odd(ctanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); + testall_odd(csin, z, nan_nan, ALL_STD_EXCEPT, 0, 0); + testall_even(ccos, z, nan_nan, ALL_STD_EXCEPT, 0, 0); + testall_odd(ctan, z, nan_nan, ALL_STD_EXCEPT, 0, 0); + + z = CMPLXL(42, NAN); + testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); + testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); + /* XXX We allow a spurious inexact exception here. */ + testall_odd(ctanh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); + testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); + testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); + testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); + + z = CMPLXL(NAN, 42); + testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); + testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); + testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); + testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); + testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); + /* XXX We allow a spurious inexact exception here. */ + testall_odd(ctan, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); + + z = CMPLXL(NAN, INFINITY); + testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); + testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); + testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); + testall_odd(csin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0); + testall_even(ccos, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, + CS_IMAG); + testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_IMAG); + + z = CMPLXL(INFINITY, NAN); + testall_odd(csinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0); + testall_even(ccosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, + CS_REAL); + testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); + testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); + testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); + testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); + + z = CMPLXL(0, NAN); + testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, 0); + testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); + testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); + testall_odd(csin, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); + testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); + testall_odd(ctan, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); + + z = CMPLXL(NAN, 0); + testall_odd(csinh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); + testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); + testall_odd(ctanh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); + testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); + testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); + testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); +} + +void +test_inf(void) +{ + static const long double finites[] = { + 0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4, + }; + long double complex z, c, s; + int i; + + /* + * IN CSINH CCOSH CTANH + * Inf,Inf +-Inf,NaN inval +-Inf,NaN inval 1,+-0 + * Inf,finite Inf cis(finite) Inf cis(finite) 1,0 sin(2 finite) + * 0,Inf +-0,NaN inval NaN,+-0 inval NaN,NaN inval + * finite,Inf NaN,NaN inval NaN,NaN inval NaN,NaN inval + */ + z = CMPLXL(INFINITY, INFINITY); + testall_odd(csinh, z, CMPLXL(INFINITY, NAN), + ALL_STD_EXCEPT, FE_INVALID, 0); + testall_even(ccosh, z, CMPLXL(INFINITY, NAN), + ALL_STD_EXCEPT, FE_INVALID, 0); + testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); + testall_odd(csin, z, CMPLXL(NAN, INFINITY), + ALL_STD_EXCEPT, FE_INVALID, 0); + testall_even(ccos, z, CMPLXL(INFINITY, NAN), + ALL_STD_EXCEPT, FE_INVALID, 0); + testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_REAL); + + /* XXX We allow spurious inexact exceptions here (hard to avoid). */ + for (i = 0; i < sizeof(finites) / sizeof(finites[0]); i++) { + z = CMPLXL(INFINITY, finites[i]); + c = INFINITY * cosl(finites[i]); + s = finites[i] == 0 ? finites[i] : INFINITY * sinl(finites[i]); + testall_odd(csinh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); + testall_even(ccosh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); + testall_odd(ctanh, z, CMPLXL(1, 0 * sin(finites[i] * 2)), + OPT_INEXACT, 0, CS_BOTH); + z = CMPLXL(finites[i], INFINITY); + testall_odd(csin, z, CMPLXL(s, c), OPT_INEXACT, 0, CS_BOTH); + testall_even(ccos, z, CMPLXL(c, -s), OPT_INEXACT, 0, CS_BOTH); + testall_odd(ctan, z, CMPLXL(0 * sin(finites[i] * 2), 1), + OPT_INEXACT, 0, CS_BOTH); + } + + z = CMPLXL(0, INFINITY); + testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); + testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); + testall_odd(ctanh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); + z = CMPLXL(INFINITY, 0); + testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); + testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); + testall_odd(ctan, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); + + z = CMPLXL(42, INFINITY); + testall_odd(csinh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); + testall_even(ccosh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); + /* XXX We allow a spurious inexact exception here. */ + testall_odd(ctanh, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); + z = CMPLXL(INFINITY, 42); + testall_odd(csin, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); + testall_even(ccos, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); + /* XXX We allow a spurious inexact exception here. */ + testall_odd(ctan, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); +} + +/* Tests along the real and imaginary axes. */ +void +test_axes(void) +{ + static const long double nums[] = { + M_PI / 4, M_PI / 2, 3 * M_PI / 4, + 5 * M_PI / 4, 3 * M_PI / 2, 7 * M_PI / 4, + }; + long double complex z; + int i; + + for (i = 0; i < sizeof(nums) / sizeof(nums[0]); i++) { + /* Real axis */ + z = CMPLXL(nums[i], 0.0); + test_odd_tol(csinh, z, CMPLXL(sinh(nums[i]), 0), DBL_ULP()); + test_even_tol(ccosh, z, CMPLXL(cosh(nums[i]), 0), DBL_ULP()); + test_odd_tol(ctanh, z, CMPLXL(tanh(nums[i]), 0), DBL_ULP()); + test_odd_tol(csin, z, CMPLXL(sin(nums[i]), + copysign(0, cos(nums[i]))), DBL_ULP()); + test_even_tol(ccos, z, CMPLXL(cos(nums[i]), + -copysign(0, sin(nums[i]))), DBL_ULP()); + test_odd_tol(ctan, z, CMPLXL(tan(nums[i]), 0), DBL_ULP()); + + test_odd_tol(csinhf, z, CMPLXL(sinhf(nums[i]), 0), FLT_ULP()); + test_even_tol(ccoshf, z, CMPLXL(coshf(nums[i]), 0), FLT_ULP()); + printf("%a %a\n", creal(z), cimag(z)); + printf("%a %a\n", creal(ctanhf(z)), cimag(ctanhf(z))); + printf("%a\n", nextafterf(tanhf(nums[i]), INFINITY)); + test_odd_tol(ctanhf, z, CMPLXL(tanhf(nums[i]), 0), + 1.3 * FLT_ULP()); + test_odd_tol(csinf, z, CMPLXL(sinf(nums[i]), + copysign(0, cosf(nums[i]))), FLT_ULP()); + test_even_tol(ccosf, z, CMPLXL(cosf(nums[i]), + -copysign(0, sinf(nums[i]))), 2 * FLT_ULP()); + test_odd_tol(ctanf, z, CMPLXL(tanf(nums[i]), 0), FLT_ULP()); + + /* Imaginary axis */ + z = CMPLXL(0.0, nums[i]); + test_odd_tol(csinh, z, CMPLXL(copysign(0, cos(nums[i])), + sin(nums[i])), DBL_ULP()); + test_even_tol(ccosh, z, CMPLXL(cos(nums[i]), + copysign(0, sin(nums[i]))), DBL_ULP()); + test_odd_tol(ctanh, z, CMPLXL(0, tan(nums[i])), DBL_ULP()); + test_odd_tol(csin, z, CMPLXL(0, sinh(nums[i])), DBL_ULP()); + test_even_tol(ccos, z, CMPLXL(cosh(nums[i]), -0.0), DBL_ULP()); + test_odd_tol(ctan, z, CMPLXL(0, tanh(nums[i])), DBL_ULP()); + + test_odd_tol(csinhf, z, CMPLXL(copysign(0, cosf(nums[i])), + sinf(nums[i])), FLT_ULP()); + test_even_tol(ccoshf, z, CMPLXL(cosf(nums[i]), + copysign(0, sinf(nums[i]))), FLT_ULP()); + test_odd_tol(ctanhf, z, CMPLXL(0, tanf(nums[i])), FLT_ULP()); + test_odd_tol(csinf, z, CMPLXL(0, sinhf(nums[i])), FLT_ULP()); + test_even_tol(ccosf, z, CMPLXL(coshf(nums[i]), -0.0), + FLT_ULP()); + test_odd_tol(ctanf, z, CMPLXL(0, tanhf(nums[i])), + 1.3 * FLT_ULP()); + } +} + +void +test_small(void) +{ + /* + * z = 0.5 + i Pi/4 + * sinh(z) = (sinh(0.5) + i cosh(0.5)) * sqrt(2)/2 + * cosh(z) = (cosh(0.5) + i sinh(0.5)) * sqrt(2)/2 + * tanh(z) = (2cosh(0.5)sinh(0.5) + i) / (2 cosh(0.5)**2 - 1) + * z = -0.5 + i Pi/2 + * sinh(z) = cosh(0.5) + * cosh(z) = -i sinh(0.5) + * tanh(z) = -coth(0.5) + * z = 1.0 + i 3Pi/4 + * sinh(z) = (-sinh(1) + i cosh(1)) * sqrt(2)/2 + * cosh(z) = (-cosh(1) + i sinh(1)) * sqrt(2)/2 + * tanh(z) = (2cosh(1)sinh(1) - i) / (2cosh(1)**2 - 1) + */ + static const struct { + long double a, b; + long double sinh_a, sinh_b; + long double cosh_a, cosh_b; + long double tanh_a, tanh_b; + } tests[] = { + { 0.5L, + 0.78539816339744830961566084581987572L, + 0.36847002415910435172083660522240710L, + 0.79735196663945774996093142586179334L, + 0.79735196663945774996093142586179334L, + 0.36847002415910435172083660522240710L, + 0.76159415595576488811945828260479359L, + 0.64805427366388539957497735322615032L }, + { -0.5L, + 1.57079632679489661923132169163975144L, + 0.0L, + 1.12762596520638078522622516140267201L, + 0.0L, + -0.52109530549374736162242562641149156L, + -2.16395341373865284877000401021802312L, + 0.0L }, + { 1.0L, + 2.35619449019234492884698253745962716L, + -0.83099273328405698212637979852748608L, + 1.09112278079550143030545602018565236L, + -1.09112278079550143030545602018565236L, + 0.83099273328405698212637979852748609L, + 0.96402758007581688394641372410092315L, + -0.26580222883407969212086273981988897L } + }; + long double complex z; + int i; + + for (i = 0; i < sizeof(tests) / sizeof(tests[0]); i++) { + z = CMPLXL(tests[i].a, tests[i].b); + testall_odd_tol(csinh, z, + CMPLXL(tests[i].sinh_a, tests[i].sinh_b), 1.1); + testall_even_tol(ccosh, z, + CMPLXL(tests[i].cosh_a, tests[i].cosh_b), 1.1); + testall_odd_tol(ctanh, z, + CMPLXL(tests[i].tanh_a, tests[i].tanh_b), 1.4); + } +} + +/* Test inputs that might cause overflow in a sloppy implementation. */ +void +test_large(void) +{ + long double complex z; + + /* tanh() uses a threshold around x=22, so check both sides. */ + z = CMPLXL(21, 0.78539816339744830961566084581987572L); + testall_odd_tol(ctanh, z, + CMPLXL(1.0, 1.14990445285871196133287617611468468e-18L), 1.2); + z++; + testall_odd_tol(ctanh, z, + CMPLXL(1.0, 1.55622644822675930314266334585597964e-19L), 1); + + z = CMPLXL(355, 0.78539816339744830961566084581987572L); + test_odd_tol(ctanh, z, + CMPLXL(1.0, 8.95257245135025991216632140458264468e-309L), + DBL_ULP()); +#if !defined(__i386__) + z = CMPLXL(30, 0x1p1023L); + test_odd_tol(ctanh, z, + CMPLXL(1.0, -1.62994325413993477997492170229268382e-26L), + DBL_ULP()); + z = CMPLXL(1, 0x1p1023L); + test_odd_tol(ctanh, z, + CMPLXL(0.878606311888306869546254022621986509L, + -0.225462792499754505792678258169527424L), + DBL_ULP()); +#endif + + z = CMPLXL(710.6, 0.78539816339744830961566084581987572L); + test_odd_tol(csinh, z, + CMPLXL(1.43917579766621073533185387499658944e308L, + 1.43917579766621073533185387499658944e308L), DBL_ULP()); + test_even_tol(ccosh, z, + CMPLXL(1.43917579766621073533185387499658944e308L, + 1.43917579766621073533185387499658944e308L), DBL_ULP()); + + z = CMPLXL(1500, 0.78539816339744830961566084581987572L); + testall_odd(csinh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, + FE_OVERFLOW, CS_BOTH); + testall_even(ccosh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, + FE_OVERFLOW, CS_BOTH); +} + +int +main(int argc, char *argv[]) +{ + + printf("1..6\n"); + + test_zero(); + printf("ok 1 - ctrig zero\n"); + + test_nan(); + printf("ok 2 - ctrig nan\n"); + + test_inf(); + printf("ok 3 - ctrig inf\n"); + + test_axes(); + printf("ok 4 - ctrig axes\n"); + + test_small(); + printf("ok 5 - ctrig small\n"); + + test_large(); + printf("ok 6 - ctrig large\n"); + + return (0); +} Copied: stable/10/lib/msun/tests/exponential_test.c (from r292497, head/lib/msun/tests/exponential_test.c) ============================================================================== --- /dev/null 00:00:00 1970 (empty, because file is newly added) +++ stable/10/lib/msun/tests/exponential_test.c Mon Jan 18 03:55:40 2016 (r294243, copy of r292497, head/lib/msun/tests/exponential_test.c) @@ -0,0 +1,169 @@ +/*- + * 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 exp*(). + */ + +#include <sys/cdefs.h> +__FBSDID("$FreeBSD$"); + +#include <assert.h> +#include <fenv.h> +#include <float.h> +#include <math.h> +#include <stdio.h> + +#ifdef __i386__ +#include <ieeefp.h> +#endif + +#include "test-utils.h" + +#pragma STDC FENV_ACCESS ON + +/* + * 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 + * reasoons, 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(func, x, result, exceptmask, excepts) do { \ + volatile long double _d = x; \ + assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ + assert(fpequal((func)(_d), (result))); \ + assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \ +} while (0) + +/* Test all the functions that compute b^x. */ +#define _testall0(x, result, exceptmask, excepts) do { \ + test(exp, x, result, exceptmask, excepts); \ + test(expf, x, result, exceptmask, excepts); \ + test(exp2, x, result, exceptmask, excepts); \ + test(exp2f, x, result, exceptmask, excepts); \ +} while (0) + +/* Skip over exp2l on platforms that don't support it. */ +#if LDBL_PREC == 53 +#define testall0 _testall0 +#else +#define testall0(x, result, exceptmask, excepts) do { \ + _testall0(x, result, exceptmask, excepts); \ + test(exp2l, x, result, exceptmask, excepts); \ +} while (0) +#endif + +/* Test all the functions that compute b^x - 1. */ +#define testall1(x, result, exceptmask, excepts) do { \ + test(expm1, x, result, exceptmask, excepts); \ + test(expm1f, x, result, exceptmask, excepts); \ +} while (0) + +void +run_generic_tests(void) +{ + + /* exp(0) == 1, no exceptions raised */ + testall0(0.0, 1.0, ALL_STD_EXCEPT, 0); + testall1(0.0, 0.0, ALL_STD_EXCEPT, 0); + testall0(-0.0, 1.0, ALL_STD_EXCEPT, 0); + testall1(-0.0, -0.0, ALL_STD_EXCEPT, 0); + + /* exp(NaN) == NaN, no exceptions raised */ + testall0(NAN, NAN, ALL_STD_EXCEPT, 0); + testall1(NAN, NAN, ALL_STD_EXCEPT, 0); + + /* exp(Inf) == Inf, no exceptions raised */ + testall0(INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + testall1(INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + + /* exp(-Inf) == 0, no exceptions raised */ + testall0(-INFINITY, 0.0, ALL_STD_EXCEPT, 0); + testall1(-INFINITY, -1.0, ALL_STD_EXCEPT, 0); + +#if !defined(__i386__) + /* exp(big) == Inf, overflow exception */ + testall0(50000.0, INFINITY, ALL_STD_EXCEPT & ~FE_INEXACT, FE_OVERFLOW); + testall1(50000.0, INFINITY, ALL_STD_EXCEPT & ~FE_INEXACT, FE_OVERFLOW); + + /* exp(small) == 0, underflow and inexact exceptions */ + testall0(-50000.0, 0.0, ALL_STD_EXCEPT, FE_UNDERFLOW | FE_INEXACT); +#endif + testall1(-50000.0, -1.0, ALL_STD_EXCEPT, FE_INEXACT); +} + +void +run_exp2_tests(void) +{ + int i; + + /* + * We should insist that exp2() return exactly the correct + * result and not raise an inexact exception for integer + * arguments. + */ + feclearexcept(FE_ALL_EXCEPT); + for (i = FLT_MIN_EXP - FLT_MANT_DIG; i < FLT_MAX_EXP; i++) { + assert(exp2f(i) == ldexpf(1.0, i)); + assert(fetestexcept(ALL_STD_EXCEPT) == 0); + } + for (i = DBL_MIN_EXP - DBL_MANT_DIG; i < DBL_MAX_EXP; i++) { + assert(exp2(i) == ldexp(1.0, i)); + assert(fetestexcept(ALL_STD_EXCEPT) == 0); + } + for (i = LDBL_MIN_EXP - LDBL_MANT_DIG; i < LDBL_MAX_EXP; i++) { + assert(exp2l(i) == ldexpl(1.0, i)); + assert(fetestexcept(ALL_STD_EXCEPT) == 0); + } +} + +int +main(int argc, char *argv[]) +{ + + printf("1..3\n"); + + run_generic_tests(); + printf("ok 1 - exponential\n"); + +#ifdef __i386__ + fpsetprec(FP_PE); + run_generic_tests(); +#endif + printf("ok 2 - exponential\n"); + + run_exp2_tests(); + printf("ok 3 - exponential\n"); + + return (0); +} Copied: stable/10/lib/msun/tests/fma_test.c (from r292497, head/lib/msun/tests/fma_test.c) ============================================================================== --- /dev/null 00:00:00 1970 (empty, because file is newly added) +++ stable/10/lib/msun/tests/fma_test.c Mon Jan 18 03:55:40 2016 (r294243, copy of r292497, head/lib/msun/tests/fma_test.c) @@ -0,0 +1,542 @@ +/*- + * 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 fma{,f,l}(). + */ + +#include <sys/cdefs.h> +__FBSDID("$FreeBSD$"); + +#include <sys/param.h> +#include <assert.h> +#include <fenv.h> +#include <float.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> + +#include "test-utils.h" + +#pragma STDC FENV_ACCESS ON + +/* + * 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. + */ +#define test(func, x, y, z, result, exceptmask, excepts) do { \ + volatile long double _vx = (x), _vy = (y), _vz = (z); \ + assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ + assert(fpequal((func)(_vx, _vy, _vz), (result))); \ + assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \ +} while (0) + +#define testall(x, y, z, result, exceptmask, excepts) do { \ + test(fma, (double)(x), (double)(y), (double)(z), \ + (double)(result), (exceptmask), (excepts)); \ + test(fmaf, (float)(x), (float)(y), (float)(z), \ + (float)(result), (exceptmask), (excepts)); \ + test(fmal, (x), (y), (z), (result), (exceptmask), (excepts)); \ +} while (0) + +/* Test in all rounding modes. */ +#define testrnd(func, x, y, z, rn, ru, rd, rz, exceptmask, excepts) do { \ + fesetround(FE_TONEAREST); \ + test((func), (x), (y), (z), (rn), (exceptmask), (excepts)); \ + fesetround(FE_UPWARD); \ + test((func), (x), (y), (z), (ru), (exceptmask), (excepts)); \ + fesetround(FE_DOWNWARD); \ + test((func), (x), (y), (z), (rd), (exceptmask), (excepts)); \ + fesetround(FE_TOWARDZERO); \ + test((func), (x), (y), (z), (rz), (exceptmask), (excepts)); \ +} while (0) + +/* + * This is needed because clang constant-folds fma in ways that are incorrect + * in rounding modes other than FE_TONEAREST. + */ +volatile double one = 1.0; + +static void +test_zeroes(void) +{ + const int rd = (fegetround() == FE_DOWNWARD); + + testall(0.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); + testall(1.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); + testall(0.0, 1.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); + testall(0.0, 0.0, 1.0, 1.0, ALL_STD_EXCEPT, 0); + + testall(-0.0, 0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(0.0, -0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(-0.0, -0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); + testall(0.0, 0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(-0.0, -0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + + testall(-0.0, 0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0); + testall(0.0, -0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0); + + testall(-one, one, one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(one, -one, one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(-one, -one, -one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + + switch (fegetround()) { + case FE_TONEAREST: + case FE_TOWARDZERO: + test(fmaf, -FLT_MIN, FLT_MIN, 0.0, -0.0, + ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); + test(fma, -DBL_MIN, DBL_MIN, 0.0, -0.0, + ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); + test(fmal, -LDBL_MIN, LDBL_MIN, 0.0, -0.0, + ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); + } +} + +static void +test_infinities(void) +{ + + testall(INFINITY, 1.0, -1.0, INFINITY, ALL_STD_EXCEPT, 0); + testall(-1.0, INFINITY, 0.0, -INFINITY, ALL_STD_EXCEPT, 0); + testall(0.0, 0.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + testall(1.0, 1.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + testall(1.0, 1.0, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); + + testall(INFINITY, -INFINITY, 1.0, -INFINITY, ALL_STD_EXCEPT, 0); + testall(INFINITY, INFINITY, 1.0, INFINITY, ALL_STD_EXCEPT, 0); + testall(-INFINITY, -INFINITY, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + + testall(0.0, INFINITY, 1.0, NAN, ALL_STD_EXCEPT, FE_INVALID); + testall(INFINITY, 0.0, -0.0, NAN, ALL_STD_EXCEPT, FE_INVALID); + + /* The invalid exception is optional in this case. */ + testall(INFINITY, 0.0, NAN, NAN, ALL_STD_EXCEPT & ~FE_INVALID, 0); + + testall(INFINITY, INFINITY, -INFINITY, NAN, + ALL_STD_EXCEPT, FE_INVALID); + testall(-INFINITY, INFINITY, INFINITY, NAN, + ALL_STD_EXCEPT, FE_INVALID); + testall(INFINITY, -1.0, INFINITY, NAN, + ALL_STD_EXCEPT, FE_INVALID); + + test(fmaf, FLT_MAX, FLT_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); + test(fma, DBL_MAX, DBL_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); + test(fmal, LDBL_MAX, LDBL_MAX, -INFINITY, -INFINITY, + ALL_STD_EXCEPT, 0); + test(fmaf, FLT_MAX, -FLT_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + test(fma, DBL_MAX, -DBL_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + test(fmal, LDBL_MAX, -LDBL_MAX, INFINITY, INFINITY, + ALL_STD_EXCEPT, 0); +} + +static void +test_nans(void) +{ + + testall(NAN, 0.0, 0.0, NAN, ALL_STD_EXCEPT, 0); + testall(1.0, NAN, 1.0, NAN, ALL_STD_EXCEPT, 0); + testall(1.0, -1.0, NAN, NAN, ALL_STD_EXCEPT, 0); + testall(0.0, 0.0, NAN, NAN, ALL_STD_EXCEPT, 0); + testall(NAN, NAN, NAN, NAN, ALL_STD_EXCEPT, 0); + + /* x*y should not raise an inexact/overflow/underflow if z is NaN. */ + testall(M_PI, M_PI, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fmaf, FLT_MIN, FLT_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fma, DBL_MIN, DBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fmal, LDBL_MIN, LDBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fmaf, FLT_MAX, FLT_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fma, DBL_MAX, DBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fmal, LDBL_MAX, LDBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); +} + +/* + * Tests for cases where z is very small compared to x*y. + */ +static void +test_small_z(void) +{ + + /* x*y positive, z positive */ + if (fegetround() == FE_UPWARD) { + test(fmaf, one, one, 0x1.0p-100, 1.0 + FLT_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, one, one, 0x1.0p-200, 1.0 + DBL_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, one, one, 0x1.0p-200, 1.0 + LDBL_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p100, one, 0x1.0p-100, 0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* x*y negative, z negative */ + if (fegetround() == FE_DOWNWARD) { + test(fmaf, -one, one, -0x1.0p-100, -(1.0 + FLT_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, -one, one, -0x1.0p-200, -(1.0 + DBL_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, -one, one, -0x1.0p-200, -(1.0 + LDBL_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p100, -one, -0x1.0p-100, -0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* x*y positive, z negative */ + if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) { + test(fmaf, one, one, -0x1.0p-100, 1.0 - FLT_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, one, one, -0x1.0p-200, 1.0 - DBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, one, one, -0x1.0p-200, 1.0 - LDBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p100, one, -0x1.0p-100, 0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* x*y negative, z positive */ + if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) { + test(fmaf, -one, one, 0x1.0p-100, -1.0 + FLT_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, -one, one, 0x1.0p-200, -1.0 + DBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, -one, one, 0x1.0p-200, -1.0 + LDBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(-0x1.0p100, one, 0x1.0p-100, -0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } +} + +/* + * Tests for cases where z is very large compared to x*y. + */ +static void +test_big_z(void) +{ + + /* z positive, x*y positive */ + if (fegetround() == FE_UPWARD) { + test(fmaf, 0x1.0p-50, 0x1.0p-50, 1.0, 1.0 + FLT_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + DBL_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + LDBL_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(-0x1.0p-50, -0x1.0p-50, 0x1.0p100, 0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* z negative, x*y negative */ + if (fegetround() == FE_DOWNWARD) { + test(fmaf, -0x1.0p-50, 0x1.0p-50, -1.0, -(1.0 + FLT_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + DBL_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + LDBL_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p-50, -0x1.0p-50, -0x1.0p100, -0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* z negative, x*y positive */ + if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) { + test(fmaf, -0x1.0p-50, -0x1.0p-50, -1.0, + -1.0 + FLT_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); + test(fma, -0x1.0p-100, -0x1.0p-100, -1.0, + -1.0 + DBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, -0x1.0p-100, -0x1.0p-100, -1.0, + -1.0 + LDBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p-50, 0x1.0p-50, -0x1.0p100, -0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* z positive, x*y negative */ + if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) { + test(fmaf, 0x1.0p-50, -0x1.0p-50, 1.0, 1.0 - FLT_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - DBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - LDBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(-0x1.0p-50, 0x1.0p-50, 0x1.0p100, 0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } +} + +static void +test_accuracy(void) +{ + + /* ilogb(x*y) - ilogb(z) = 20 */ + testrnd(fmaf, -0x1.c139d8p-51, -0x1.600e7ap32, 0x1.26558cp-38, + 0x1.34e48ap-18, 0x1.34e48cp-18, 0x1.34e48ap-18, 0x1.34e48ap-18, + ALL_STD_EXCEPT, FE_INEXACT); + testrnd(fma, -0x1.c139d7b84f1a3p-51, -0x1.600e7a2a16484p32, + 0x1.26558cac31580p-38, 0x1.34e48a78aae97p-18, *** DIFF OUTPUT TRUNCATED AT 1000 LINES ***
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