498 lines
18 KiB
C
498 lines
18 KiB
C
/*-
|
|
* 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 <sys/param.h>
|
|
#include <complex.h>
|
|
#include <fenv.h>
|
|
#include <float.h>
|
|
#include <math.h>
|
|
#include <stdio.h>
|
|
|
|
#include <atf-c.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)); \
|
|
ATF_CHECK(feclearexcept(FE_ALL_EXCEPT) == 0); \
|
|
ATF_CHECK(cfpequal_cs((func)(_d), (result), (checksign))); \
|
|
ATF_CHECK(((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)); \
|
|
ATF_CHECK(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)
|
|
|
|
|
|
ATF_TC(test_zero_input);
|
|
ATF_TC_HEAD(test_zero_input, tc)
|
|
{
|
|
atf_tc_set_md_var(tc, "descr", "test 0 input");
|
|
}
|
|
ATF_TC_BODY(test_zero_input, tc)
|
|
{
|
|
long double complex zero = CMPLXL(0.0, 0.0);
|
|
|
|
#if defined(__amd64__)
|
|
#if defined(__clang__) && \
|
|
((__clang_major__ >= 4))
|
|
atf_tc_expect_fail("test fails with clang 4.x+ - bug 217528");
|
|
#endif
|
|
#endif
|
|
|
|
/* 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);
|
|
}
|
|
|
|
ATF_TC(test_nan_inputs);
|
|
ATF_TC_HEAD(test_nan_inputs, tc)
|
|
{
|
|
atf_tc_set_md_var(tc, "descr", "test NaN inputs");
|
|
}
|
|
ATF_TC_BODY(test_nan_inputs, tc)
|
|
{
|
|
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);
|
|
}
|
|
|
|
ATF_TC(test_inf_inputs);
|
|
ATF_TC_HEAD(test_inf_inputs, tc)
|
|
{
|
|
atf_tc_set_md_var(tc, "descr", "test infinity inputs");
|
|
}
|
|
ATF_TC_BODY(test_inf_inputs, tc)
|
|
{
|
|
static const long double finites[] = {
|
|
0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4,
|
|
};
|
|
long double complex z, c, s;
|
|
unsigned i;
|
|
|
|
if (atf_tc_get_config_var_as_bool_wd(tc, "ci", false))
|
|
atf_tc_skip("https://bugs.freebsd.org/244732");
|
|
|
|
/*
|
|
* 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 < nitems(finites); 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);
|
|
}
|
|
|
|
ATF_TC(test_axes);
|
|
ATF_TC_HEAD(test_axes, tc)
|
|
{
|
|
atf_tc_set_md_var(tc, "descr", "test along the real/imaginary axes");
|
|
}
|
|
ATF_TC_BODY(test_axes, tc)
|
|
{
|
|
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;
|
|
unsigned i;
|
|
|
|
for (i = 0; i < nitems(nums); 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());
|
|
}
|
|
}
|
|
|
|
ATF_TC(test_small_inputs);
|
|
ATF_TC_HEAD(test_small_inputs, tc)
|
|
{
|
|
atf_tc_set_md_var(tc, "descr", "test underflow inputs");
|
|
}
|
|
ATF_TC_BODY(test_small_inputs, tc)
|
|
{
|
|
/*
|
|
* 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;
|
|
unsigned i;
|
|
|
|
for (i = 0; i < nitems(tests); 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);
|
|
}
|
|
}
|
|
|
|
ATF_TC(test_large_inputs);
|
|
ATF_TC_HEAD(test_large_inputs, tc)
|
|
{
|
|
atf_tc_set_md_var(tc, "descr",
|
|
"Test inputs that might cause overflow in a sloppy implementation");
|
|
}
|
|
ATF_TC_BODY(test_large_inputs, tc)
|
|
{
|
|
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());
|
|
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());
|
|
|
|
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);
|
|
}
|
|
|
|
ATF_TP_ADD_TCS(tp)
|
|
{
|
|
|
|
ATF_TP_ADD_TC(tp, test_zero_input);
|
|
ATF_TP_ADD_TC(tp, test_nan_inputs);
|
|
ATF_TP_ADD_TC(tp, test_inf_inputs);
|
|
ATF_TP_ADD_TC(tp, test_axes);
|
|
ATF_TP_ADD_TC(tp, test_small_inputs);
|
|
ATF_TP_ADD_TC(tp, test_large_inputs);
|
|
|
|
return (atf_no_error());
|
|
}
|