svn commit: r294243 - stable/10/lib/msun/tests
Garrett Cooper
ngie at FreeBSD.org
Mon Jan 18 03:55:41 UTC 2016
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 at 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 at 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 at 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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