summaryrefslogtreecommitdiffstats
path: root/lib
diff options
context:
space:
mode:
authorngie <ngie@FreeBSD.org>2016-01-18 03:55:40 +0000
committerngie <ngie@FreeBSD.org>2016-01-18 03:55:40 +0000
commit2af193e575ae45f10a13624d1242fc6fd424cdf6 (patch)
treeb101a75a2f642add5d9b1d630957151a0455159d /lib
parent6391e7176199f2b99c1f8d3e9d1a218b254a5fc6 (diff)
downloadFreeBSD-src-2af193e575ae45f10a13624d1242fc6fd424cdf6.zip
FreeBSD-src-2af193e575ae45f10a13624d1242fc6fd424cdf6.tar.gz
MFC r292497:
Integrate the remaining tools/regression/lib/msun testcases into the FreeBSD test suite under lib/msun/tests
Diffstat (limited to 'lib')
-rw-r--r--lib/msun/tests/Makefile8
-rw-r--r--lib/msun/tests/ctrig_test.c482
-rw-r--r--lib/msun/tests/exponential_test.c169
-rw-r--r--lib/msun/tests/fma_test.c542
-rw-r--r--lib/msun/tests/invtrig_test.c479
-rw-r--r--lib/msun/tests/lround_test.c115
-rw-r--r--lib/msun/tests/lround_test.t10
-rw-r--r--lib/msun/tests/test-utils.h174
8 files changed, 1978 insertions, 1 deletions
diff --git a/lib/msun/tests/Makefile b/lib/msun/tests/Makefile
index ffa1765..2561ef7 100644
--- a/lib/msun/tests/Makefile
+++ b/lib/msun/tests/Makefile
@@ -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
diff --git a/lib/msun/tests/ctrig_test.c b/lib/msun/tests/ctrig_test.c
new file mode 100644
index 0000000..475b6c5
--- /dev/null
+++ b/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);
+}
diff --git a/lib/msun/tests/exponential_test.c b/lib/msun/tests/exponential_test.c
new file mode 100644
index 0000000..df552ee
--- /dev/null
+++ b/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);
+}
diff --git a/lib/msun/tests/fma_test.c b/lib/msun/tests/fma_test.c
new file mode 100644
index 0000000..af7910e
--- /dev/null
+++ b/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,
+ 0x1.34e48a78aae97p-18, 0x1.34e48a78aae96p-18,
+ 0x1.34e48a78aae96p-18, ALL_STD_EXCEPT, FE_INEXACT);
+#if LDBL_MANT_DIG == 113
+ testrnd(fmal, -0x1.c139d7b84f1a3079263afcc5bae3p-51L,
+ -0x1.600e7a2a164840edbe2e7d301a72p32L,
+ 0x1.26558cac315807eb07e448042101p-38L,
+ 0x1.34e48a78aae96c76ed36077dd387p-18L,
+ 0x1.34e48a78aae96c76ed36077dd388p-18L,
+ 0x1.34e48a78aae96c76ed36077dd387p-18L,
+ 0x1.34e48a78aae96c76ed36077dd387p-18L,
+ ALL_STD_EXCEPT, FE_INEXACT);
+#elif LDBL_MANT_DIG == 64
+ testrnd(fmal, -0x1.c139d7b84f1a307ap-51L, -0x1.600e7a2a164840eep32L,
+ 0x1.26558cac315807ecp-38L, 0x1.34e48a78aae96c78p-18L,
+ 0x1.34e48a78aae96c78p-18L, 0x1.34e48a78aae96c76p-18L,
+ 0x1.34e48a78aae96c76p-18L, ALL_STD_EXCEPT, FE_INEXACT);
+#elif LDBL_MANT_DIG == 53
+ testrnd(fmal, -0x1.c139d7b84f1a3p-51L, -0x1.600e7a2a16484p32L,
+ 0x1.26558cac31580p-38L, 0x1.34e48a78aae97p-18L,
+ 0x1.34e48a78aae97p-18L, 0x1.34e48a78aae96p-18L,
+ 0x1.34e48a78aae96p-18L, ALL_STD_EXCEPT, FE_INEXACT);
+#endif
+
+ /* ilogb(x*y) - ilogb(z) = -40 */
+ testrnd(fmaf, 0x1.98210ap53, 0x1.9556acp-24, 0x1.d87da4p70,
+ 0x1.d87da4p70, 0x1.d87da6p70, 0x1.d87da4p70, 0x1.d87da4p70,
+ ALL_STD_EXCEPT, FE_INEXACT);
+ testrnd(fma, 0x1.98210ac83fe2bp53, 0x1.9556ac1475f0fp-24,
+ 0x1.d87da3aafc60ep70, 0x1.d87da3aafda40p70,
+ 0x1.d87da3aafda40p70, 0x1.d87da3aafda3fp70,
+ 0x1.d87da3aafda3fp70, ALL_STD_EXCEPT, FE_INEXACT);
+#if LDBL_MANT_DIG == 113
+ testrnd(fmal, 0x1.98210ac83fe2a8f65b6278b74cebp53L,
+ 0x1.9556ac1475f0f28968b61d0de65ap-24L,
+ 0x1.d87da3aafc60d830aa4c6d73b749p70L,
+ 0x1.d87da3aafda3f36a69eb86488224p70L,
+ 0x1.d87da3aafda3f36a69eb86488225p70L,
+ 0x1.d87da3aafda3f36a69eb86488224p70L,
+ 0x1.d87da3aafda3f36a69eb86488224p70L,
+ ALL_STD_EXCEPT, FE_INEXACT);
+#elif LDBL_MANT_DIG == 64
+ testrnd(fmal, 0x1.98210ac83fe2a8f6p53L, 0x1.9556ac1475f0f28ap-24L,
+ 0x1.d87da3aafc60d83p70L, 0x1.d87da3aafda3f36ap70L,
+ 0x1.d87da3aafda3f36ap70L, 0x1.d87da3aafda3f368p70L,
+ 0x1.d87da3aafda3f368p70L, ALL_STD_EXCEPT, FE_INEXACT);
+#elif LDBL_MANT_DIG == 53
+ testrnd(fmal, 0x1.98210ac83fe2bp53L, 0x1.9556ac1475f0fp-24L,
+ 0x1.d87da3aafc60ep70L, 0x1.d87da3aafda40p70L,
+ 0x1.d87da3aafda40p70L, 0x1.d87da3aafda3fp70L,
+ 0x1.d87da3aafda3fp70L, ALL_STD_EXCEPT, FE_INEXACT);
+#endif
+
+ /* ilogb(x*y) - ilogb(z) = 0 */
+ testrnd(fmaf, 0x1.31ad02p+100, 0x1.2fbf7ap-42, -0x1.c3e106p+58,
+ -0x1.64c27cp+56, -0x1.64c27ap+56, -0x1.64c27cp+56,
+ -0x1.64c27ap+56, ALL_STD_EXCEPT, FE_INEXACT);
+ testrnd(fma, 0x1.31ad012ede8aap+100, 0x1.2fbf79c839067p-42,
+ -0x1.c3e106929056ep+58, -0x1.64c282b970a5fp+56,
+ -0x1.64c282b970a5ep+56, -0x1.64c282b970a5fp+56,
+ -0x1.64c282b970a5ep+56, ALL_STD_EXCEPT, FE_INEXACT);
+#if LDBL_MANT_DIG == 113
+ testrnd(fmal, 0x1.31ad012ede8aa282fa1c19376d16p+100L,
+ 0x1.2fbf79c839066f0f5c68f6d2e814p-42L,
+ -0x1.c3e106929056ec19de72bfe64215p+58L,
+ -0x1.64c282b970a612598fc025ca8cddp+56L,
+ -0x1.64c282b970a612598fc025ca8cddp+56L,
+ -0x1.64c282b970a612598fc025ca8cdep+56L,
+ -0x1.64c282b970a612598fc025ca8cddp+56L,
+ ALL_STD_EXCEPT, FE_INEXACT);
+#elif LDBL_MANT_DIG == 64
+ testrnd(fmal, 0x1.31ad012ede8aa4eap+100L, 0x1.2fbf79c839066aeap-42L,
+ -0x1.c3e106929056e61p+58L, -0x1.64c282b970a60298p+56L,
+ -0x1.64c282b970a60298p+56L, -0x1.64c282b970a6029ap+56L,
+ -0x1.64c282b970a60298p+56L, ALL_STD_EXCEPT, FE_INEXACT);
+#elif LDBL_MANT_DIG == 53
+ testrnd(fmal, 0x1.31ad012ede8aap+100L, 0x1.2fbf79c839067p-42L,
+ -0x1.c3e106929056ep+58L, -0x1.64c282b970a5fp+56L,
+ -0x1.64c282b970a5ep+56L, -0x1.64c282b970a5fp+56L,
+ -0x1.64c282b970a5ep+56L, ALL_STD_EXCEPT, FE_INEXACT);
+#endif
+
+ /* x*y (rounded) ~= -z */
+ /* XXX spurious inexact exceptions */
+ testrnd(fmaf, 0x1.bbffeep-30, -0x1.1d164cp-74, 0x1.ee7296p-104,
+ -0x1.c46ea8p-128, -0x1.c46ea8p-128, -0x1.c46ea8p-128,
+ -0x1.c46ea8p-128, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
+ testrnd(fma, 0x1.bbffeea6fc7d6p-30, 0x1.1d164c6cbf078p-74,
+ -0x1.ee72993aff948p-104, -0x1.71f72ac7d9d8p-159,
+ -0x1.71f72ac7d9d8p-159, -0x1.71f72ac7d9d8p-159,
+ -0x1.71f72ac7d9d8p-159, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
+#if LDBL_MANT_DIG == 113
+ testrnd(fmal, 0x1.bbffeea6fc7d65927d147f437675p-30L,
+ 0x1.1d164c6cbf078b7a22607d1cd6a2p-74L,
+ -0x1.ee72993aff94973876031bec0944p-104L,
+ 0x1.64e086175b3a2adc36e607058814p-217L,
+ 0x1.64e086175b3a2adc36e607058814p-217L,
+ 0x1.64e086175b3a2adc36e607058814p-217L,
+ 0x1.64e086175b3a2adc36e607058814p-217L,
+ ALL_STD_EXCEPT & ~FE_INEXACT, 0);
+#elif LDBL_MANT_DIG == 64
+ testrnd(fmal, 0x1.bbffeea6fc7d6592p-30L, 0x1.1d164c6cbf078b7ap-74L,
+ -0x1.ee72993aff949736p-104L, 0x1.af190e7a1ee6ad94p-168L,
+ 0x1.af190e7a1ee6ad94p-168L, 0x1.af190e7a1ee6ad94p-168L,
+ 0x1.af190e7a1ee6ad94p-168L, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
+#elif LDBL_MANT_DIG == 53
+ testrnd(fmal, 0x1.bbffeea6fc7d6p-30L, 0x1.1d164c6cbf078p-74L,
+ -0x1.ee72993aff948p-104L, -0x1.71f72ac7d9d8p-159L,
+ -0x1.71f72ac7d9d8p-159L, -0x1.71f72ac7d9d8p-159L,
+ -0x1.71f72ac7d9d8p-159L, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
+#endif
+}
+
+static void
+test_double_rounding(void)
+{
+
+ /*
+ * a = 0x1.8000000000001p0
+ * b = 0x1.8000000000001p0
+ * c = -0x0.0000000000000000000000000080...1p+1
+ * a * b = 0x1.2000000000001800000000000080p+1
+ *
+ * The correct behavior is to round DOWN to 0x1.2000000000001p+1 in
+ * round-to-nearest mode. An implementation that computes a*b+c in
+ * double+double precision, however, will get 0x1.20000000000018p+1,
+ * and then round UP.
+ */
+ fesetround(FE_TONEAREST);
+ test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
+ -0x1.0000000000001p-104, 0x1.2000000000001p+1,
+ ALL_STD_EXCEPT, FE_INEXACT);
+ fesetround(FE_DOWNWARD);
+ test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
+ -0x1.0000000000001p-104, 0x1.2000000000001p+1,
+ ALL_STD_EXCEPT, FE_INEXACT);
+ fesetround(FE_UPWARD);
+ test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
+ -0x1.0000000000001p-104, 0x1.2000000000002p+1,
+ ALL_STD_EXCEPT, FE_INEXACT);
+
+ fesetround(FE_TONEAREST);
+ test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1,
+ ALL_STD_EXCEPT, FE_INEXACT);
+ fesetround(FE_DOWNWARD);
+ test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1,
+ ALL_STD_EXCEPT, FE_INEXACT);
+ fesetround(FE_UPWARD);
+ test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200004p+1,
+ ALL_STD_EXCEPT, FE_INEXACT);
+
+ fesetround(FE_TONEAREST);
+#if LDBL_MANT_DIG == 64
+ test(fmal, 0x1.4p+0L, 0x1.0000000000000004p+0L, 0x1p-128L,
+ 0x1.4000000000000006p+0L, ALL_STD_EXCEPT, FE_INEXACT);
+#elif LDBL_MANT_DIG == 113
+ test(fmal, 0x1.8000000000000000000000000001p+0L,
+ 0x1.8000000000000000000000000001p+0L,
+ -0x1.0000000000000000000000000001p-224L,
+ 0x1.2000000000000000000000000001p+1L, ALL_STD_EXCEPT, FE_INEXACT);
+#endif
+
+}
+
+int
+main(int argc, char *argv[])
+{
+ int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO };
+ int i, j;
+
+#if defined(__i386__)
+ printf("1..0 # SKIP all testcases fail on i386\n");
+ exit(0);
+#endif
+
+ j = 1;
+
+ printf("1..19\n");
+
+ for (i = 0; i < nitems(rmodes); i++, j++) {
+ printf("rmode = %d\n", rmodes[i]);
+ fesetround(rmodes[i]);
+ test_zeroes();
+ printf("ok %d - fma zeroes\n", j);
+ }
+
+ for (i = 0; i < nitems(rmodes); i++, j++) {
+#if defined(__amd64__)
+ printf("ok %d # SKIP testcase fails assertion on "
+ "amd64\n", j);
+ continue;
+#endif
+ printf("rmode = %d\n", rmodes[i]);
+ fesetround(rmodes[i]);
+ test_infinities();
+ printf("ok %d - fma infinities\n", j);
+ }
+
+ fesetround(FE_TONEAREST);
+ test_nans();
+ printf("ok 9 - fma NaNs\n");
+
+ for (i = 0; i < nitems(rmodes); i++, j++) {
+ printf("rmode = %d\n", rmodes[i]);
+ fesetround(rmodes[i]);
+ test_small_z();
+ printf("ok %d - fma small z\n", j);
+ }
+
+ for (i = 0; i < nitems(rmodes); i++, j++) {
+ printf("rmode = %d\n", rmodes[i]);
+ fesetround(rmodes[i]);
+ test_big_z();
+ printf("ok %d - fma big z\n", j);
+ }
+
+ fesetround(FE_TONEAREST);
+ test_accuracy();
+ printf("ok %d - fma accuracy\n", j);
+ j++;
+
+ test_double_rounding();
+ printf("ok %d - fma double rounding\n", j);
+ j++;
+
+ /*
+ * TODO:
+ * - Tests for subnormals
+ * - Cancellation tests (e.g., z = (double)x*y, but x*y is inexact)
+ */
+
+ return (0);
+}
diff --git a/lib/msun/tests/invtrig_test.c b/lib/msun/tests/invtrig_test.c
new file mode 100644
index 0000000..01b0379
--- /dev/null
+++ b/lib/msun/tests/invtrig_test.c
@@ -0,0 +1,479 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.org>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/*
+ * Tests for corner cases in the inverse trigonometric functions. Some
+ * accuracy tests are included as well, but these are very basic
+ * sanity checks, not intended to be comprehensive.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <assert.h>
+#include <fenv.h>
+#include <float.h>
+#include <math.h>
+#include <stdio.h>
+
+#include "test-utils.h"
+
+#pragma STDC FENV_ACCESS ON
+
+/*
+ * Test that a function returns the correct value and sets the
+ * exception flags correctly. A tolerance specifying the maximum
+ * relative error allowed may be specified. For the 'testall'
+ * functions, the tolerance is specified in ulps.
+ *
+ * These are macros instead of functions so that assert provides more
+ * meaningful error messages.
+ */
+#define test_tol(func, x, result, tol, excepts) do { \
+ volatile long double _in = (x), _out = (result); \
+ assert(feclearexcept(FE_ALL_EXCEPT) == 0); \
+ assert(fpequal_tol(func(_in), _out, (tol), CS_BOTH)); \
+ assert(((void)func, fetestexcept(ALL_STD_EXCEPT) == (excepts))); \
+} while (0)
+#define test(func, x, result, excepts) \
+ test_tol(func, (x), (result), 0, (excepts))
+
+#define _testall_tol(prefix, x, result, tol, excepts) do { \
+ test_tol(prefix, (double)(x), (double)(result), \
+ (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \
+ test_tol(prefix##f, (float)(x), (float)(result), \
+ (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \
+} while (0)
+
+#if LDBL_PREC == 53
+#define testall_tol _testall_tol
+#else
+#define testall_tol(prefix, x, result, tol, excepts) do { \
+ _testall_tol(prefix, x, result, tol, excepts); \
+ test_tol(prefix##l, (x), (result), \
+ (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \
+} while (0)
+#endif
+
+#define testall(prefix, x, result, excepts) \
+ testall_tol(prefix, (x), (result), 0, (excepts))
+
+#define test2_tol(func, y, x, result, tol, excepts) do { \
+ volatile long double _iny = (y), _inx = (x), _out = (result); \
+ assert(feclearexcept(FE_ALL_EXCEPT) == 0); \
+ assert(fpequal_tol(func(_iny, _inx), _out, (tol), CS_BOTH)); \
+ assert(((void)func, fetestexcept(ALL_STD_EXCEPT) == (excepts))); \
+} while (0)
+#define test2(func, y, x, result, excepts) \
+ test2_tol(func, (y), (x), (result), 0, (excepts))
+
+#define _testall2_tol(prefix, y, x, result, tol, excepts) do { \
+ test2_tol(prefix, (double)(y), (double)(x), (double)(result), \
+ (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \
+ test2_tol(prefix##f, (float)(y), (float)(x), (float)(result), \
+ (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \
+} while (0)
+
+#if LDBL_PREC == 53
+#define testall2_tol _testall2_tol
+#else
+#define testall2_tol(prefix, y, x, result, tol, excepts) do { \
+ _testall2_tol(prefix, y, x, result, tol, excepts); \
+ test2_tol(prefix##l, (y), (x), (result), \
+ (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \
+} while (0)
+#endif
+
+#define testall2(prefix, y, x, result, excepts) \
+ testall2_tol(prefix, (y), (x), (result), 0, (excepts))
+
+long double
+pi = 3.14159265358979323846264338327950280e+00L,
+pio3 = 1.04719755119659774615421446109316766e+00L,
+c3pi = 9.42477796076937971538793014983850839e+00L,
+c5pi = 1.57079632679489661923132169163975140e+01L,
+c7pi = 2.19911485751285526692385036829565196e+01L,
+c5pio3 = 5.23598775598298873077107230546583851e+00L,
+sqrt2m1 = 4.14213562373095048801688724209698081e-01L;
+
+
+/*
+ * Test special case inputs in asin(), acos() and atan(): signed
+ * zeroes, infinities, and NaNs.
+ */
+static void
+test_special(void)
+{
+
+ testall(asin, 0.0, 0.0, 0);
+ testall(acos, 0.0, pi / 2, FE_INEXACT);
+ testall(atan, 0.0, 0.0, 0);
+ testall(asin, -0.0, -0.0, 0);
+ testall(acos, -0.0, pi / 2, FE_INEXACT);
+ testall(atan, -0.0, -0.0, 0);
+
+ testall(asin, INFINITY, NAN, FE_INVALID);
+ testall(acos, INFINITY, NAN, FE_INVALID);
+ testall(atan, INFINITY, pi / 2, FE_INEXACT);
+ testall(asin, -INFINITY, NAN, FE_INVALID);
+ testall(acos, -INFINITY, NAN, FE_INVALID);
+ testall(atan, -INFINITY, -pi / 2, FE_INEXACT);
+
+ testall(asin, NAN, NAN, 0);
+ testall(acos, NAN, NAN, 0);
+ testall(atan, NAN, NAN, 0);
+}
+
+/*
+ * Test special case inputs in atan2(), where the exact value of y/x is
+ * zero or non-finite.
+ */
+static void
+test_special_atan2(void)
+{
+ long double z;
+ int e;
+
+ testall2(atan2, 0.0, -0.0, pi, FE_INEXACT);
+ testall2(atan2, -0.0, -0.0, -pi, FE_INEXACT);
+ testall2(atan2, 0.0, 0.0, 0.0, 0);
+ testall2(atan2, -0.0, 0.0, -0.0, 0);
+
+ testall2(atan2, INFINITY, -INFINITY, c3pi / 4, FE_INEXACT);
+ testall2(atan2, -INFINITY, -INFINITY, -c3pi / 4, FE_INEXACT);
+ testall2(atan2, INFINITY, INFINITY, pi / 4, FE_INEXACT);
+ testall2(atan2, -INFINITY, INFINITY, -pi / 4, FE_INEXACT);
+
+ /* Tests with one input in the range (0, Inf]. */
+ z = 1.23456789L;
+ for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP; e++) {
+ test2(atan2f, 0.0, ldexpf(z, e), 0.0, 0);
+ test2(atan2f, -0.0, ldexpf(z, e), -0.0, 0);
+ test2(atan2f, 0.0, ldexpf(-z, e), (float)pi, FE_INEXACT);
+ test2(atan2f, -0.0, ldexpf(-z, e), (float)-pi, FE_INEXACT);
+ test2(atan2f, ldexpf(z, e), 0.0, (float)pi / 2, FE_INEXACT);
+ test2(atan2f, ldexpf(z, e), -0.0, (float)pi / 2, FE_INEXACT);
+ test2(atan2f, ldexpf(-z, e), 0.0, (float)-pi / 2, FE_INEXACT);
+ test2(atan2f, ldexpf(-z, e), -0.0, (float)-pi / 2, FE_INEXACT);
+ }
+ for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP; e++) {
+ test2(atan2, 0.0, ldexp(z, e), 0.0, 0);
+ test2(atan2, -0.0, ldexp(z, e), -0.0, 0);
+ test2(atan2, 0.0, ldexp(-z, e), (double)pi, FE_INEXACT);
+ test2(atan2, -0.0, ldexp(-z, e), (double)-pi, FE_INEXACT);
+ test2(atan2, ldexp(z, e), 0.0, (double)pi / 2, FE_INEXACT);
+ test2(atan2, ldexp(z, e), -0.0, (double)pi / 2, FE_INEXACT);
+ test2(atan2, ldexp(-z, e), 0.0, (double)-pi / 2, FE_INEXACT);
+ test2(atan2, ldexp(-z, e), -0.0, (double)-pi / 2, FE_INEXACT);
+ }
+ for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP; e++) {
+ test2(atan2l, 0.0, ldexpl(z, e), 0.0, 0);
+ test2(atan2l, -0.0, ldexpl(z, e), -0.0, 0);
+ test2(atan2l, 0.0, ldexpl(-z, e), pi, FE_INEXACT);
+ test2(atan2l, -0.0, ldexpl(-z, e), -pi, FE_INEXACT);
+ test2(atan2l, ldexpl(z, e), 0.0, pi / 2, FE_INEXACT);
+ test2(atan2l, ldexpl(z, e), -0.0, pi / 2, FE_INEXACT);
+ test2(atan2l, ldexpl(-z, e), 0.0, -pi / 2, FE_INEXACT);
+ test2(atan2l, ldexpl(-z, e), -0.0, -pi / 2, FE_INEXACT);
+ }
+
+ /* Tests with one input in the range (0, Inf). */
+ for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP - 1; e++) {
+ test2(atan2f, ldexpf(z, e), INFINITY, 0.0, 0);
+ test2(atan2f, ldexpf(-z,e), INFINITY, -0.0, 0);
+ test2(atan2f, ldexpf(z, e), -INFINITY, (float)pi, FE_INEXACT);
+ test2(atan2f, ldexpf(-z,e), -INFINITY, (float)-pi, FE_INEXACT);
+ test2(atan2f, INFINITY, ldexpf(z,e), (float)pi/2, FE_INEXACT);
+ test2(atan2f, INFINITY, ldexpf(-z,e), (float)pi/2, FE_INEXACT);
+ test2(atan2f, -INFINITY, ldexpf(z,e), (float)-pi/2,FE_INEXACT);
+ test2(atan2f, -INFINITY, ldexpf(-z,e),(float)-pi/2,FE_INEXACT);
+ }
+ for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP - 1; e++) {
+ test2(atan2, ldexp(z, e), INFINITY, 0.0, 0);
+ test2(atan2, ldexp(-z,e), INFINITY, -0.0, 0);
+ test2(atan2, ldexp(z, e), -INFINITY, (double)pi, FE_INEXACT);
+ test2(atan2, ldexp(-z,e), -INFINITY, (double)-pi, FE_INEXACT);
+ test2(atan2, INFINITY, ldexp(z,e), (double)pi/2, FE_INEXACT);
+ test2(atan2, INFINITY, ldexp(-z,e), (double)pi/2, FE_INEXACT);
+ test2(atan2, -INFINITY, ldexp(z,e), (double)-pi/2,FE_INEXACT);
+ test2(atan2, -INFINITY, ldexp(-z,e),(double)-pi/2,FE_INEXACT);
+ }
+ for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP - 1; e++) {
+ test2(atan2l, ldexpl(z, e), INFINITY, 0.0, 0);
+ test2(atan2l, ldexpl(-z,e), INFINITY, -0.0, 0);
+ test2(atan2l, ldexpl(z, e), -INFINITY, pi, FE_INEXACT);
+ test2(atan2l, ldexpl(-z,e), -INFINITY, -pi, FE_INEXACT);
+ test2(atan2l, INFINITY, ldexpl(z, e), pi / 2, FE_INEXACT);
+ test2(atan2l, INFINITY, ldexpl(-z, e), pi / 2, FE_INEXACT);
+ test2(atan2l, -INFINITY, ldexpl(z, e), -pi / 2, FE_INEXACT);
+ test2(atan2l, -INFINITY, ldexpl(-z, e), -pi / 2, FE_INEXACT);
+ }
+}
+
+/*
+ * Test various inputs to asin(), acos() and atan() and verify that the
+ * results are accurate to within 1 ulp.
+ */
+static void
+test_accuracy(void)
+{
+
+ /* We expect correctly rounded results for these basic cases. */
+ testall(asin, 1.0, pi / 2, FE_INEXACT);
+ testall(acos, 1.0, 0, 0);
+ testall(atan, 1.0, pi / 4, FE_INEXACT);
+ testall(asin, -1.0, -pi / 2, FE_INEXACT);
+ testall(acos, -1.0, pi, FE_INEXACT);
+ testall(atan, -1.0, -pi / 4, FE_INEXACT);
+
+ /*
+ * Here we expect answers to be within 1 ulp, although inexactness
+ * in the input, combined with double rounding, could cause larger
+ * errors.
+ */
+
+ testall_tol(asin, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT);
+ testall_tol(acos, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT);
+ testall_tol(asin, -sqrtl(2) / 2, -pi / 4, 1, FE_INEXACT);
+ testall_tol(acos, -sqrtl(2) / 2, c3pi / 4, 1, FE_INEXACT);
+
+ testall_tol(asin, sqrtl(3) / 2, pio3, 1, FE_INEXACT);
+ testall_tol(acos, sqrtl(3) / 2, pio3 / 2, 1, FE_INEXACT);
+ testall_tol(atan, sqrtl(3), pio3, 1, FE_INEXACT);
+ testall_tol(asin, -sqrtl(3) / 2, -pio3, 1, FE_INEXACT);
+ testall_tol(acos, -sqrtl(3) / 2, c5pio3 / 2, 1, FE_INEXACT);
+ testall_tol(atan, -sqrtl(3), -pio3, 1, FE_INEXACT);
+
+ testall_tol(atan, sqrt2m1, pi / 8, 1, FE_INEXACT);
+ testall_tol(atan, -sqrt2m1, -pi / 8, 1, FE_INEXACT);
+}
+
+/*
+ * Test inputs to atan2() where x is a power of 2. These are easy cases
+ * because y/x is exact.
+ */
+static void
+test_p2x_atan2(void)
+{
+
+ testall2(atan2, 1.0, 1.0, pi / 4, FE_INEXACT);
+ testall2(atan2, 1.0, -1.0, c3pi / 4, FE_INEXACT);
+ testall2(atan2, -1.0, 1.0, -pi / 4, FE_INEXACT);
+ testall2(atan2, -1.0, -1.0, -c3pi / 4, FE_INEXACT);
+
+ testall2_tol(atan2, sqrt2m1 * 2, 2.0, pi / 8, 1, FE_INEXACT);
+ testall2_tol(atan2, sqrt2m1 * 2, -2.0, c7pi / 8, 1, FE_INEXACT);
+ testall2_tol(atan2, -sqrt2m1 * 2, 2.0, -pi / 8, 1, FE_INEXACT);
+ testall2_tol(atan2, -sqrt2m1 * 2, -2.0, -c7pi / 8, 1, FE_INEXACT);
+
+ testall2_tol(atan2, sqrtl(3) * 0.5, 0.5, pio3, 1, FE_INEXACT);
+ testall2_tol(atan2, sqrtl(3) * 0.5, -0.5, pio3 * 2, 1, FE_INEXACT);
+ testall2_tol(atan2, -sqrtl(3) * 0.5, 0.5, -pio3, 1, FE_INEXACT);
+ testall2_tol(atan2, -sqrtl(3) * 0.5, -0.5, -pio3 * 2, 1, FE_INEXACT);
+}
+
+/*
+ * Test inputs very close to 0.
+ */
+static void
+test_tiny(void)
+{
+ float tiny = 0x1.23456p-120f;
+
+ testall(asin, tiny, tiny, FE_INEXACT);
+ testall(acos, tiny, pi / 2, FE_INEXACT);
+ testall(atan, tiny, tiny, FE_INEXACT);
+
+ testall(asin, -tiny, -tiny, FE_INEXACT);
+ testall(acos, -tiny, pi / 2, FE_INEXACT);
+ testall(atan, -tiny, -tiny, FE_INEXACT);
+
+ /* Test inputs to atan2() that would cause y/x to underflow. */
+ test2(atan2f, 0x1.0p-100, 0x1.0p100, 0.0, FE_INEXACT | FE_UNDERFLOW);
+ test2(atan2, 0x1.0p-1000, 0x1.0p1000, 0.0, FE_INEXACT | FE_UNDERFLOW);
+ test2(atan2l, ldexpl(1.0, 100 - LDBL_MAX_EXP),
+ ldexpl(1.0, LDBL_MAX_EXP - 100), 0.0, FE_INEXACT | FE_UNDERFLOW);
+ test2(atan2f, -0x1.0p-100, 0x1.0p100, -0.0, FE_INEXACT | FE_UNDERFLOW);
+ test2(atan2, -0x1.0p-1000, 0x1.0p1000, -0.0, FE_INEXACT | FE_UNDERFLOW);
+ test2(atan2l, -ldexpl(1.0, 100 - LDBL_MAX_EXP),
+ ldexpl(1.0, LDBL_MAX_EXP - 100), -0.0, FE_INEXACT | FE_UNDERFLOW);
+ test2(atan2f, 0x1.0p-100, -0x1.0p100, (float)pi, FE_INEXACT);
+ test2(atan2, 0x1.0p-1000, -0x1.0p1000, (double)pi, FE_INEXACT);
+ test2(atan2l, ldexpl(1.0, 100 - LDBL_MAX_EXP),
+ -ldexpl(1.0, LDBL_MAX_EXP - 100), pi, FE_INEXACT);
+ test2(atan2f, -0x1.0p-100, -0x1.0p100, (float)-pi, FE_INEXACT);
+ test2(atan2, -0x1.0p-1000, -0x1.0p1000, (double)-pi, FE_INEXACT);
+ test2(atan2l, -ldexpl(1.0, 100 - LDBL_MAX_EXP),
+ -ldexpl(1.0, LDBL_MAX_EXP - 100), -pi, FE_INEXACT);
+}
+
+/*
+ * Test very large inputs to atan().
+ */
+static void
+test_atan_huge(void)
+{
+ float huge = 0x1.23456p120;
+
+ testall(atan, huge, pi / 2, FE_INEXACT);
+ testall(atan, -huge, -pi / 2, FE_INEXACT);
+
+ /* Test inputs to atan2() that would cause y/x to overflow. */
+ test2(atan2f, 0x1.0p100, 0x1.0p-100, (float)pi / 2, FE_INEXACT);
+ test2(atan2, 0x1.0p1000, 0x1.0p-1000, (double)pi / 2, FE_INEXACT);
+ test2(atan2l, ldexpl(1.0, LDBL_MAX_EXP - 100),
+ ldexpl(1.0, 100 - LDBL_MAX_EXP), pi / 2, FE_INEXACT);
+ test2(atan2f, -0x1.0p100, 0x1.0p-100, (float)-pi / 2, FE_INEXACT);
+ test2(atan2, -0x1.0p1000, 0x1.0p-1000, (double)-pi / 2, FE_INEXACT);
+ test2(atan2l, -ldexpl(1.0, LDBL_MAX_EXP - 100),
+ ldexpl(1.0, 100 - LDBL_MAX_EXP), -pi / 2, FE_INEXACT);
+
+ test2(atan2f, 0x1.0p100, -0x1.0p-100, (float)pi / 2, FE_INEXACT);
+ test2(atan2, 0x1.0p1000, -0x1.0p-1000, (double)pi / 2, FE_INEXACT);
+ test2(atan2l, ldexpl(1.0, LDBL_MAX_EXP - 100),
+ -ldexpl(1.0, 100 - LDBL_MAX_EXP), pi / 2, FE_INEXACT);
+ test2(atan2f, -0x1.0p100, -0x1.0p-100, (float)-pi / 2, FE_INEXACT);
+ test2(atan2, -0x1.0p1000, -0x1.0p-1000, (double)-pi / 2, FE_INEXACT);
+ test2(atan2l, -ldexpl(1.0, LDBL_MAX_EXP - 100),
+ -ldexpl(1.0, 100 - LDBL_MAX_EXP), -pi / 2, FE_INEXACT);
+}
+
+/*
+ * Test that sin(asin(x)) == x, and similarly for acos() and atan().
+ * You need to have a working sinl(), cosl(), and tanl() for these
+ * tests to pass.
+ */
+static long double
+sinasinf(float x)
+{
+
+ return (sinl(asinf(x)));
+}
+
+static long double
+sinasin(double x)
+{
+
+ return (sinl(asin(x)));
+}
+
+static long double
+sinasinl(long double x)
+{
+
+ return (sinl(asinl(x)));
+}
+
+static long double
+cosacosf(float x)
+{
+
+ return (cosl(acosf(x)));
+}
+
+static long double
+cosacos(double x)
+{
+
+ return (cosl(acos(x)));
+}
+
+static long double
+cosacosl(long double x)
+{
+
+ return (cosl(acosl(x)));
+}
+
+static long double
+tanatanf(float x)
+{
+
+ return (tanl(atanf(x)));
+}
+
+static long double
+tanatan(double x)
+{
+
+ return (tanl(atan(x)));
+}
+
+static long double
+tanatanl(long double x)
+{
+
+ return (tanl(atanl(x)));
+}
+
+static void
+test_inverse(void)
+{
+ float i;
+
+ for (i = -1; i <= 1; i += 0x1.0p-12f) {
+ testall_tol(sinasin, i, i, 2, i == 0 ? 0 : FE_INEXACT);
+ /* The relative error for cosacos is very large near x=0. */
+ if (fabsf(i) > 0x1.0p-4f)
+ testall_tol(cosacos, i, i, 16, i == 1 ? 0 : FE_INEXACT);
+ testall_tol(tanatan, i, i, 2, i == 0 ? 0 : FE_INEXACT);
+ }
+}
+
+int
+main(int argc, char *argv[])
+{
+
+#if defined(__i386__)
+ printf("1..0 # SKIP fails all assertions on i386\n");
+ return (0);
+#endif
+
+ printf("1..7\n");
+
+ test_special();
+ printf("ok 1 - special\n");
+
+ test_special_atan2();
+ printf("ok 2 - atan2 special\n");
+
+ test_accuracy();
+ printf("ok 3 - accuracy\n");
+
+ test_p2x_atan2();
+ printf("ok 4 - atan2 p2x\n");
+
+ test_tiny();
+ printf("ok 5 - tiny inputs\n");
+
+ test_atan_huge();
+ printf("ok 6 - atan huge inputs\n");
+
+ test_inverse();
+ printf("ok 7 - inverse\n");
+
+ return (0);
+}
diff --git a/lib/msun/tests/lround_test.c b/lib/msun/tests/lround_test.c
new file mode 100644
index 0000000..2a37367
--- /dev/null
+++ b/lib/msun/tests/lround_test.c
@@ -0,0 +1,115 @@
+/*-
+ * Copyright (c) 2005 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.
+ */
+
+/*
+ * Test for lround(), lroundf(), llround(), and llroundf().
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <assert.h>
+#include <fenv.h>
+#include <limits.h>
+#include <math.h>
+#include <stdio.h>
+
+/*
+ * 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, excepts) do { \
+ volatile double _d = x; \
+ assert(feclearexcept(FE_ALL_EXCEPT) == 0); \
+ assert((func)(_d) == (result) || fetestexcept(FE_INVALID)); \
+ assert(fetestexcept(FE_ALL_EXCEPT) == (excepts)); \
+} while (0)
+
+#define testall(x, result, excepts) do { \
+ test(lround, x, result, excepts); \
+ test(lroundf, x, result, excepts); \
+ test(llround, x, result, excepts); \
+ test(llroundf, x, result, excepts); \
+} while (0)
+
+#define IGNORE 0
+
+#pragma STDC FENV_ACCESS ON
+
+int
+main(int argc, char *argv[])
+{
+
+ printf("1..1\n");
+
+ testall(0.0, 0, 0);
+ testall(0.25, 0, FE_INEXACT);
+ testall(0.5, 1, FE_INEXACT);
+ testall(-0.5, -1, FE_INEXACT);
+ testall(1.0, 1, 0);
+ testall(0x12345000p0, 0x12345000, 0);
+ testall(0x1234.fp0, 0x1235, FE_INEXACT);
+ testall(INFINITY, IGNORE, FE_INVALID);
+ testall(NAN, IGNORE, FE_INVALID);
+
+#if (LONG_MAX == 0x7fffffffl)
+ test(lround, 0x7fffffff.8p0, IGNORE, FE_INVALID);
+ test(lround, -0x80000000.8p0, IGNORE, FE_INVALID);
+ test(lround, 0x80000000.0p0, IGNORE, FE_INVALID);
+ test(lround, 0x7fffffff.4p0, 0x7fffffffl, FE_INEXACT);
+ test(lround, -0x80000000.4p0, -0x80000000l, FE_INEXACT);
+ test(lroundf, 0x80000000.0p0f, IGNORE, FE_INVALID);
+ test(lroundf, 0x7fffff80.0p0f, 0x7fffff80l, 0);
+#elif (LONG_MAX == 0x7fffffffffffffffll)
+ test(lround, 0x8000000000000000.0p0, IGNORE, FE_INVALID);
+ test(lroundf, 0x8000000000000000.0p0f, IGNORE, FE_INVALID);
+ test(lround, 0x7ffffffffffffc00.0p0, 0x7ffffffffffffc00l, 0);
+ test(lroundf, 0x7fffff8000000000.0p0f, 0x7fffff8000000000l, 0);
+ test(lround, -0x8000000000000800.0p0, IGNORE, FE_INVALID);
+ test(lroundf, -0x8000010000000000.0p0f, IGNORE, FE_INVALID);
+ test(lround, -0x8000000000000000.0p0, -0x8000000000000000l, 0);
+ test(lroundf, -0x8000000000000000.0p0f, -0x8000000000000000l, 0);
+#else
+#error "Unsupported long size"
+#endif
+
+#if (LLONG_MAX == 0x7fffffffffffffffLL)
+ test(llround, 0x8000000000000000.0p0, IGNORE, FE_INVALID);
+ test(llroundf, 0x8000000000000000.0p0f, IGNORE, FE_INVALID);
+ test(llround, 0x7ffffffffffffc00.0p0, 0x7ffffffffffffc00ll, 0);
+ test(llroundf, 0x7fffff8000000000.0p0f, 0x7fffff8000000000ll, 0);
+ test(llround, -0x8000000000000800.0p0, IGNORE, FE_INVALID);
+ test(llroundf, -0x8000010000000000.0p0f, IGNORE, FE_INVALID);
+ test(llround, -0x8000000000000000.0p0, -0x8000000000000000ll, 0);
+ test(llroundf, -0x8000000000000000.0p0f, -0x8000000000000000ll, 0);
+#else
+#error "Unsupported long long size"
+#endif
+
+ printf("ok 1 - lround\n");
+
+ return (0);
+}
diff --git a/lib/msun/tests/lround_test.t b/lib/msun/tests/lround_test.t
new file mode 100644
index 0000000..8bdfd03
--- /dev/null
+++ b/lib/msun/tests/lround_test.t
@@ -0,0 +1,10 @@
+#!/bin/sh
+# $FreeBSD$
+
+cd `dirname $0`
+
+executable=`basename $0 .t`
+
+make $executable 2>&1 > /dev/null
+
+exec ./$executable
diff --git a/lib/msun/tests/test-utils.h b/lib/msun/tests/test-utils.h
new file mode 100644
index 0000000..bf0d6de
--- /dev/null
+++ b/lib/msun/tests/test-utils.h
@@ -0,0 +1,174 @@
+/*-
+ * Copyright (c) 2005-2013 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.
+ *
+ * $FreeBSD$
+ */
+
+#ifndef _TEST_UTILS_H_
+#define _TEST_UTILS_H_
+
+#include <complex.h>
+#include <fenv.h>
+
+/*
+ * Implementations are permitted to define additional exception flags
+ * not specified in the standard, so it is not necessarily true that
+ * FE_ALL_EXCEPT == ALL_STD_EXCEPT.
+ */
+#define ALL_STD_EXCEPT (FE_DIVBYZERO | FE_INEXACT | FE_INVALID | \
+ FE_OVERFLOW | FE_UNDERFLOW)
+#define OPT_INVALID (ALL_STD_EXCEPT & ~FE_INVALID)
+#define OPT_INEXACT (ALL_STD_EXCEPT & ~FE_INEXACT)
+#define FLT_ULP() ldexpl(1.0, 1 - FLT_MANT_DIG)
+#define DBL_ULP() ldexpl(1.0, 1 - DBL_MANT_DIG)
+#define LDBL_ULP() ldexpl(1.0, 1 - LDBL_MANT_DIG)
+
+/*
+ * Flags that control the behavior of various fpequal* functions.
+ * XXX This is messy due to merging various notions of "close enough"
+ * that are best suited for different functions.
+ *
+ * CS_REAL
+ * CS_IMAG
+ * CS_BOTH
+ * (cfpequal_cs, fpequal_tol, cfpequal_tol) Whether to check the sign of
+ * the real part of the result, the imaginary part, or both.
+ *
+ * FPE_ABS_ZERO
+ * (fpequal_tol, cfpequal_tol) If set, treats the tolerance as an absolute
+ * tolerance when the expected value is 0. This is useful when there is
+ * round-off error in the input, e.g., cos(Pi/2) ~= 0.
+ */
+#define CS_REAL 0x01
+#define CS_IMAG 0x02
+#define CS_BOTH (CS_REAL | CS_IMAG)
+#define FPE_ABS_ZERO 0x04
+
+#ifdef DEBUG
+#define debug(...) printf(__VA_ARGS__)
+#else
+#define debug(...) (void)0
+#endif
+
+/*
+ * XXX The ancient version of gcc in the base system doesn't support CMPLXL,
+ * but we can fake it most of the time.
+ */
+#ifndef CMPLXL
+static inline long double complex
+CMPLXL(long double x, long double y)
+{
+ long double complex z;
+
+ __real__ z = x;
+ __imag__ z = y;
+ return (z);
+}
+#endif
+
+/*
+ * Compare d1 and d2 using special rules: NaN == NaN and +0 != -0.
+ * Fail an assertion if they differ.
+ */
+static int
+fpequal(long double d1, long double d2)
+{
+
+ if (d1 != d2)
+ return (isnan(d1) && isnan(d2));
+ return (copysignl(1.0, d1) == copysignl(1.0, d2));
+}
+
+/*
+ * Determine whether x and y are equal, with two special rules:
+ * +0.0 != -0.0
+ * NaN == NaN
+ * If checksign is 0, we compare the absolute values instead.
+ */
+static int
+fpequal_cs(long double x, long double y, int checksign)
+{
+ if (isnan(x) && isnan(y))
+ return (1);
+ if (checksign)
+ return (x == y && !signbit(x) == !signbit(y));
+ else
+ return (fabsl(x) == fabsl(y));
+}
+
+static int
+fpequal_tol(long double x, long double y, long double tol, unsigned int flags)
+{
+ fenv_t env;
+ int ret;
+
+ if (isnan(x) && isnan(y))
+ return (1);
+ if (!signbit(x) != !signbit(y) && (flags & CS_BOTH))
+ return (0);
+ if (x == y)
+ return (1);
+ if (tol == 0)
+ return (0);
+
+ /* Hard case: need to check the tolerance. */
+ feholdexcept(&env);
+ /*
+ * For our purposes here, if y=0, we interpret tol as an absolute
+ * tolerance. This is to account for roundoff in the input, e.g.,
+ * cos(Pi/2) ~= 0.
+ */
+ if ((flags & FPE_ABS_ZERO) && y == 0.0)
+ ret = fabsl(x - y) <= fabsl(tol);
+ else
+ ret = fabsl(x - y) <= fabsl(y * tol);
+ fesetenv(&env);
+ return (ret);
+}
+
+static int
+cfpequal(long double complex d1, long double complex d2)
+{
+
+ return (fpequal(creall(d1), creall(d2)) &&
+ fpequal(cimagl(d1), cimagl(d2)));
+}
+
+static int
+cfpequal_cs(long double complex x, long double complex y, int checksign)
+{
+ return (fpequal_cs(creal(x), creal(y), checksign)
+ && fpequal_cs(cimag(x), cimag(y), checksign));
+}
+
+static int
+cfpequal_tol(long double complex x, long double complex y, long double tol,
+ unsigned int flags)
+{
+ return (fpequal_tol(creal(x), creal(y), tol, flags)
+ && fpequal_tol(cimag(x), cimag(y), tol, flags));
+}
+
+#endif /* _TEST_UTILS_H_ */
OpenPOWER on IntegriCloud