#include <sys/param.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
#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); \
CHECK_CFPEQUAL_CS((func)(_d), (result), (checksign)); \
volatile int _e = fetestexcept(exceptmask); \
ATF_CHECK_MSG(_e == (excepts), \
"%s fetestexcept(%s) (%#x) != %#x", __XSTRING(func), \
__XSTRING(exceptmask), _e, (excepts)); \
} while (0)
#define test_p_tol(func, z, result, tol) do { \
debug(" testing %s(%Lg + %Lg I) ~= %Lg + %Lg I\n", #func, \
creall(z), cimagl(z), creall(result), cimagl(result)); \
CHECK_CFPEQUAL_TOL((func)(z), (result), (tol), FPE_ABS_ZERO); \
} while (0)
#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)
#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)
#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);
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;
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);
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);
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, CS_REAL);
testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0);
testall_odd(ctanh, z, CMPLXL(0, NAN), OPT_INVALID, 0, CS_REAL);
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, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG);
}
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;
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);
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(0, NAN), ALL_STD_EXCEPT, FE_INVALID, CS_REAL);
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, 0), ALL_STD_EXCEPT, FE_INVALID, CS_IMAG);
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);
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);
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)
{
#if defined(__riscv)
atf_tc_expect_death("https://bugs.freebsd.org/290099");
#endif
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++) {
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());
debug("%a %a\n", creal(z), cimag(z));
debug("%a %a\n", creal(ctanhf(z)), cimag(ctanhf(z)));
debug("%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());
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)
{
#if defined(__riscv)
atf_tc_expect_death("https://bugs.freebsd.org/290099");
#endif
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)
{
#if defined(__riscv)
atf_tc_expect_death("https://bugs.freebsd.org/290099");
#endif
long double complex z;
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());
}