glibc/math/libm-test.c
Ulrich Drepper 51702635af Update.
* locale/categories.def: Change type of _NL_CTYPE_CLASS_NAMES and
	_NL_CTYPE_MAP_NAMES field to stringlist.
	Change name of _NL_CTYPE_CODESET_NAME to "charmap".
	* locale/localeinfo.h (enum value_type): Add stringlist.
	* locale/programs/locale.c (show_info): Handle stringlist.

	* locale/programs/charmap.c (charmap_read): If charmap file is not
	using the given name try to find it by looking through all available
	charmap files and compare the code set name.
	* locale/programs/locale.c (write_charmaps): Also print names of
	charset in <code_set_name> fields in the files.

	* elf/ldd.bash.in: Correct translatable strings.

	* posix/TESTS: Add some more tests for character class matching.
	* posix/regex.c: Merge with GNU awk version.
	(regex_compile): Use ISO C/amend 1 functions for character class
	handling.
	* posix/regex.h: Merge with GNU awk version.

	* posix/getopt.c: Declare as master copies.
	* posix/getopt1.c: Likewise.
	* posix/getopt.h: Likewise.

	* sysdeps/unix/sysv/linux/sys/mount.h: Add definitions for option
	value to mount functions.
	Patch by a sun <asun@zoology.washington.edu>.

	* stdio-common/bug4.c (main): Use /tmp/bug4.test for concurrency
	with other tests.
	* sunrpc/svc_run.c (svc_exit): New, defined.
	(svc_run): Test for svc_stop variable.
	* sysdeps/m68k/s_cexp.c: Rewritten.
	* sysdeps/m68k/s_cexpf.c: Likewise.
	* sysdeps/m68k/s_cexpl.c: Likewise.
1997-05-07 15:31:21 +00:00

4244 lines
173 KiB
C

/* Copyright (C) 1997 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Andreas Jaeger <aj@arthur.pfalz.de>, 1997.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Library General Public License as
published by the Free Software Foundation; either version 2 of the
License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Library General Public License for more details.
You should have received a copy of the GNU Library General Public
License along with the GNU C Library; see the file COPYING.LIB. If not,
write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA. */
/*
Part of testsuite for libm.
This file has to be included by a master file that defines:
Makros:
FUNC(function): converts general function name (like cos) to
name with correct suffix (e.g. cosl or cosf)
MATHCONST(x): like FUNC but for constants (e.g convert 0.0 to 0.0L)
MATHTYPE: floating point type to test
TEST_MSG: informal message to be displayed
CHOOSE(Clongdouble,Cdouble,Cfloat):
chooses one of the parameters as epsilon for testing
equality
PRINTF_EXPR Floating point conversion specification to print a variable
of type MATHTYPE with printf. PRINTF_EXPR just contains
the specifier, not the percent and width arguments,
e.g. "f"
*/
/* This program isn't finished yet.
It has tests for acos, acosh, asin, asinh, atan, atan2, atanh,
cbrt, ceil, copysign, cos, cosh, exp, exp2, expm1,
fabs, fdim, floor, fmin, fmax, fpclassify,
frexp, hypot, ilogb, ldexp,
log, log10, log1p, log2, logb, modf, nextafter,
pow, scalb, scalbn, sin, sinh, sqrt, tan, tanh, trunc.
Tests for the other libm-functions will come later.
The routines using random variables are still under construction. I don't
like it the way it's working now and will change it.
Exception handling has not been implemented so far so don't get fooled
that these tests pass.
Parameter handling is primitive in the moment:
--verbose=[0..3] for different levels of output:
0: only error count
1: basic report on failed tests
2: full report on failed tests
3: full report on failed and passed tests (default)
-v for full output (equals --verbose=3)
-s,--silent outputs only the error count (equals --verbose=0)
*/
#ifndef _GNU_SOURCE
# define _GNU_SOURCE
#endif
#include <complex.h>
#include <math.h>
#include <float.h>
#include <fenv.h>
#include <errno.h>
#include <stdlib.h>
#include <stdio.h>
#include <time.h>
#include <getopt.h>
/* TEST_EXCEPTION: tests if an exception as occured */
/* for the moment: does nothing */
/* Possible exceptions */
#define NO_EXCEPTION 0x0
#define INVALID_EXCEPTION 0x1
#define DIVIDE_BY_ZERO_EXCEPTION 0x2
#define PRINT 1
#define NO_PRINT 0
static int noErrors;
static int verbose = 3;
static MATHTYPE minus_zero, plus_zero;
static MATHTYPE plus_infty, minus_infty, nan_value;
typedef MATHTYPE (*mathfunc) (MATHTYPE);
#define BUILD_COMPLEX(real, imag) \
({ __complex__ MATHTYPE __retval; \
__real__ __retval = (real); \
__imag__ __retval = (imag); \
__retval; })
#define ISINF(x) \
(sizeof (x) == sizeof (float) ? \
isinff (x) \
: sizeof (x) == sizeof (double) ? \
isinf (x) : isinfl (x))
/*
Test if Floating-Point stack hasn't changed
*/
static void
fpstack_test (const char *test_name)
{
#ifdef i386
static int old_stack;
int sw;
asm ("fnstsw":"=a" (sw));
sw >>= 11;
sw &= 7;
if (sw != old_stack)
{
printf ("FP-Stack wrong after test %s\n", test_name);
if (verbose > 2)
printf ("=======> stack = %d\n", sw);
++noErrors;
old_stack = sw;
}
#endif
}
/*
Get a random value x with min_value < x < max_value
and min_value, max_value finite,
max_value and min_value shouldn't be too close together
*/
static MATHTYPE
random_value (MATHTYPE min_value, MATHTYPE max_value)
{
int r;
MATHTYPE x;
r = rand ();
x = (max_value - min_value) / RAND_MAX * (MATHTYPE) r + min_value;
if ((x <= min_value) || (x >= max_value) || !isfinite (x))
x = (max_value - min_value) / 2 + min_value;
/* Make sure the RNG has no influence on the exceptions. */
feclearexcept (FE_ALL_EXCEPT);
return x;
}
/* Get a random value x with x > min_value. */
static MATHTYPE
random_greater (MATHTYPE min_value)
{
return random_value (min_value, 1e6); /* CHOOSE (LDBL_MAX, DBL_MAX, FLT_MAX) */
}
/* Get a random value x with x < max_value. */
static MATHTYPE
random_less (MATHTYPE max_value)
{
return random_value (-1e6, max_value);
}
/* Test whether a given exception was raised. */
static void
test_single_exception (const char *test_name,
short int exception,
short int exc_flag,
fexcept_t fe_flag,
const char *flag_name)
{
if (exception & exc_flag)
{
if (fetestexcept (fe_flag))
{
if (verbose > 2)
printf ("Pass: %s:\nException \"%s\" set\n", test_name, flag_name);
}
else
{
if (verbose)
printf ("Fail: %s:\nException \"%s\" not set\n",
test_name, flag_name);
++noErrors;
}
}
else
{
if (fetestexcept (fe_flag))
{
if (verbose)
printf ("Fail: %s:\nException \"%s\" set\n",
test_name, flag_name);
++noErrors;
}
else
{
if (verbose > 2)
printf ("Pass: %s:\nException \"%s\" not set\n",
test_name, flag_name);
}
}
}
/* Test whether exception given by EXCEPTION are raised. */
static void
test_not_exception (const char *test_name, short int exception)
{
#ifdef FE_DIVBYZERO
if ((exception & DIVIDE_BY_ZERO_EXCEPTION) == 0)
test_single_exception (test_name, exception,
DIVIDE_BY_ZERO_EXCEPTION, FE_DIVBYZERO,
"Divide by zero");
#endif
#ifdef FE_INVALID
if ((exception & INVALID_EXCEPTION) == 0)
test_single_exception (test_name, exception, INVALID_EXCEPTION, FE_INVALID,
"Invalid operation");
#endif
feclearexcept (FE_ALL_EXCEPT);
}
/* Test whether exceptions given by EXCEPTION are raised. */
static void
test_exceptions (const char *test_name, short int exception)
{
#ifdef FE_DIVBYZERO
test_single_exception (test_name, exception,
DIVIDE_BY_ZERO_EXCEPTION, FE_DIVBYZERO,
"Divide by zero");
#endif
#ifdef FE_INVALID
test_single_exception (test_name, exception, INVALID_EXCEPTION, FE_INVALID,
"Invalid operation");
#endif
feclearexcept (FE_ALL_EXCEPT);
}
/* Test if two floating point numbers are equal. */
static int
check_equal (MATHTYPE computed, MATHTYPE supplied, MATHTYPE eps, MATHTYPE * diff)
{
/* Both plus Infinity or both minus infinity. */
if (ISINF (computed) && (ISINF (computed) == ISINF (supplied)))
return 1;
if (isnan (computed) && isnan (supplied)) /* isnan works for all types */
return 1;
*diff = FUNC(fabs) (computed - supplied);
if (*diff <= eps && (signbit (computed) == signbit (supplied) || eps != 0.0))
return 1;
return 0;
}
static void
output_result_bool (const char *test_name, int result)
{
if (result)
{
if (verbose > 2)
printf ("Pass: %s\n", test_name);
}
else
{
if (verbose)
printf ("Fail: %s\n", test_name);
++noErrors;
}
fpstack_test (test_name);
}
static void
output_isvalue (const char *test_name, int result,
MATHTYPE value)
{
if (result)
{
if (verbose > 2)
printf ("Pass: %s\n", test_name);
}
else
{
if (verbose)
printf ("Fail: %s\n", test_name);
if (verbose > 1)
printf (" Value: %.20" PRINTF_EXPR "\n", value);
noErrors++;
}
fpstack_test (test_name);
}
static void
output_isvalue_ext (const char *test_name, int result,
MATHTYPE value, MATHTYPE parameter)
{
if (result)
{
if (verbose > 2)
printf ("Pass: %s\n", test_name);
}
else
{
if (verbose)
printf ("Fail: %s\n", test_name);
if (verbose > 1)
{
printf (" Value: %.20" PRINTF_EXPR "\n", value);
printf (" Parameter: %.20" PRINTF_EXPR "\n", parameter);
}
noErrors++;
}
fpstack_test (test_name);
}
static void
output_result (const char *test_name, int result,
MATHTYPE computed, MATHTYPE expected,
MATHTYPE difference,
int print_values, int print_diff)
{
if (result)
{
if (verbose > 2)
printf ("Pass: %s\n", test_name);
}
else
{
if (verbose)
printf ("Fail: %s\n", test_name);
if (verbose > 1 && print_values)
{
printf ("Result:\n");
printf (" is: %.20" PRINTF_EXPR "\n", computed);
printf (" should be: %.20" PRINTF_EXPR "\n", expected);
if (print_diff)
printf (" difference: %.20" PRINTF_EXPR "\n", difference);
}
noErrors++;
}
fpstack_test (test_name);
}
static void
output_result_ext (const char *test_name, int result,
MATHTYPE computed, MATHTYPE expected,
MATHTYPE difference,
MATHTYPE parameter,
int print_values, int print_diff)
{
if (result)
{
if (verbose > 2)
printf ("Pass: %s\n", test_name);
}
else
{
if (verbose)
printf ("Fail: %s\n", test_name);
if (verbose > 1 && print_values)
{
printf ("Result:\n");
printf (" is: %.20" PRINTF_EXPR "\n", computed);
printf (" should be: %.20" PRINTF_EXPR "\n", expected);
if (print_diff)
printf (" difference: %.20" PRINTF_EXPR "\n", difference);
printf ("Parameter: %.20" PRINTF_EXPR "\n", parameter);
}
noErrors++;
}
fpstack_test (test_name);
}
static void
check (const char *test_name, MATHTYPE computed, MATHTYPE expected)
{
MATHTYPE diff;
int result;
test_exceptions (test_name, NO_EXCEPTION);
result = check_equal (computed, expected, 0, &diff);
output_result (test_name, result,
computed, expected, diff, PRINT, PRINT);
}
static void
check_ext (const char *test_name, MATHTYPE computed, MATHTYPE expected,
MATHTYPE parameter)
{
MATHTYPE diff;
int result;
test_exceptions (test_name, NO_EXCEPTION);
result = check_equal (computed, expected, 0, &diff);
output_result_ext (test_name, result,
computed, expected, diff, parameter, PRINT, PRINT);
}
static void
check_exc (const char *test_name, MATHTYPE computed, MATHTYPE expected,
short exception)
{
MATHTYPE diff;
int result;
test_exceptions (test_name, exception);
result = check_equal (computed, expected, 0, &diff);
output_result (test_name, result,
computed, expected, diff, PRINT, PRINT);
}
static void
check_eps (const char *test_name, MATHTYPE computed, MATHTYPE expected,
MATHTYPE epsilon)
{
MATHTYPE diff;
int result;
test_exceptions (test_name, NO_EXCEPTION);
result = check_equal (computed, expected, epsilon, &diff);
output_result (test_name, result,
computed, expected, diff, PRINT, PRINT);
}
static void
check_bool (const char *test_name, int computed)
{
test_exceptions (test_name, NO_EXCEPTION);
output_result_bool (test_name, computed);
}
static void
check_long (const char *test_name, long int computed, long int expected)
{
long int diff = computed - expected;
int result = diff == 0;
test_exceptions (test_name, NO_EXCEPTION);
if (result)
{
if (verbose > 2)
printf ("Pass: %s\n", test_name);
}
else
{
if (verbose)
printf ("Fail: %s\n", test_name);
if (verbose > 1)
{
printf ("Result:\n");
printf (" is: %ld\n", computed);
printf (" should be: %ld\n", expected);
}
noErrors++;
}
fpstack_test (test_name);
}
static void
check_longlong (const char *test_name, long long int computed,
long long int expected)
{
long long int diff = computed - expected;
int result = diff == 0;
test_exceptions (test_name, NO_EXCEPTION);
if (result)
{
if (verbose > 2)
printf ("Pass: %s\n", test_name);
}
else
{
if (verbose)
printf ("Fail: %s\n", test_name);
if (verbose > 1)
{
printf ("Result:\n");
printf (" is: %lld\n", computed);
printf (" should be: %lld\n", expected);
}
noErrors++;
}
fpstack_test (test_name);
}
static void
check_isnan (const char *test_name, MATHTYPE computed)
{
test_exceptions (test_name, NO_EXCEPTION);
output_isvalue (test_name, isnan (computed), computed);
}
static void
check_isnan_exc (const char *test_name, MATHTYPE computed,
short exception)
{
test_exceptions (test_name, exception);
output_isvalue (test_name, isnan (computed), computed);
}
static void
check_isnan_maybe_exc (const char *test_name, MATHTYPE computed,
short exception)
{
test_not_exception (test_name, exception);
output_isvalue (test_name, isnan (computed), computed);
}
static void
check_isnan_ext (const char *test_name, MATHTYPE computed,
MATHTYPE parameter)
{
test_exceptions (test_name, NO_EXCEPTION);
output_isvalue_ext (test_name, isnan (computed), computed, parameter);
}
/* Tests if computed is +Inf */
static void
check_isinfp (const char *test_name, MATHTYPE computed)
{
test_exceptions (test_name, NO_EXCEPTION);
output_isvalue (test_name, (ISINF (computed) == +1), computed);
}
static void
check_isinfp_ext (const char *test_name, MATHTYPE computed,
MATHTYPE parameter)
{
test_exceptions (test_name, NO_EXCEPTION);
output_isvalue_ext (test_name, (ISINF (computed) == +1), computed, parameter);
}
/* Tests if computed is +Inf */
static void
check_isinfp_exc (const char *test_name, MATHTYPE computed,
int exception)
{
test_exceptions (test_name, exception);
output_isvalue (test_name, (ISINF (computed) == +1), computed);
}
/* Tests if computed is -Inf */
static void
check_isinfn (const char *test_name, MATHTYPE computed)
{
test_exceptions (test_name, NO_EXCEPTION);
output_isvalue (test_name, (ISINF (computed) == -1), computed);
}
static void
check_isinfn_ext (const char *test_name, MATHTYPE computed,
MATHTYPE parameter)
{
test_exceptions (test_name, NO_EXCEPTION);
output_isvalue_ext (test_name, (ISINF (computed) == -1), computed, parameter);
}
/* Tests if computed is -Inf */
static void
check_isinfn_exc (const char *test_name, MATHTYPE computed,
int exception)
{
test_exceptions (test_name, exception);
output_isvalue (test_name, (ISINF (computed) == -1), computed);
}
/****************************************************************************
Test for single functions of libm
****************************************************************************/
static void
acos_test (void)
{
MATHTYPE x;
check ("acos (1) == 0", FUNC(acos) (1), 0);
x = random_greater (1);
check_isnan_exc ("acos (x) == NaN plus invalid exception for |x| > 1",
FUNC(acos) (x),
INVALID_EXCEPTION);
}
static void
acosh_test (void)
{
MATHTYPE x;
check ("acosh(1) == 0", FUNC(acosh) (1), 0);
check_isinfp ("acosh(+inf) == +inf", FUNC(acosh) (plus_infty));
x = random_less (1);
check_isnan_exc ("acosh(x) == NaN plus invalid exception if x < 1",
FUNC(acosh) (x), INVALID_EXCEPTION);
}
static void
asin_test (void)
{
MATHTYPE x;
check ("asin (0) == 0", FUNC(asin) (0), 0);
x = random_greater (1);
check_isnan_exc ("asin x == NaN plus invalid exception for |x| > 1",
FUNC(asin) (x),
INVALID_EXCEPTION);
}
static void
asinh_test (void)
{
check ("asinh(+0) == +0", FUNC(asinh) (0), 0);
check ("asinh(-0) == -0", FUNC(asinh) (minus_zero), minus_zero);
}
static void
atan_test (void)
{
check ("atan (0) == 0", FUNC(atan) (0), 0);
check ("atan (-0) == -0", FUNC(atan) (minus_zero), minus_zero);
check ("atan (+inf) == pi/2", FUNC(atan) (plus_infty), M_PI_2);
check ("atan (-inf) == -pi/2", FUNC(atan) (minus_infty), -M_PI_2);
}
static void
atan2_test (void)
{
MATHTYPE x;
x = random_greater (0);
check ("atan2 (0,x) == 0 for x > 0",
FUNC(atan2) (0, x), 0);
x = random_greater (0);
check ("atan2 (-0,x) == -0 for x > 0",
FUNC(atan2) (minus_zero, x), minus_zero);
check ("atan2 (+0,+0) == +0", FUNC(atan2) (0, 0), 0);
check ("atan2 (-0,+0) == -0", FUNC(atan2) (minus_zero, 0), minus_zero);
x = -random_greater (0);
check ("atan2 (+0,x) == +pi for x < 0", FUNC(atan2) (0, x), M_PI);
x = -random_greater (0);
check ("atan2 (-0,x) == -pi for x < 0", FUNC(atan2) (minus_zero, x), -M_PI);
check ("atan2 (+0,-0) == +pi", FUNC(atan2) (0, minus_zero), M_PI);
check ("atan2 (-0,-0) == -pi", FUNC(atan2) (minus_zero, minus_zero), -M_PI);
x = random_greater (0);
check ("atan2 (y,+0) == pi/2 for y > 0", FUNC(atan2) (x, 0), M_PI_2);
x = random_greater (0);
check ("atan2 (y,-0) == pi/2 for y > 0", FUNC(atan2) (x, minus_zero), M_PI_2);
x = random_greater (0);
check ("atan2 (y,-inf) == +pi for finite y > 0",
FUNC(atan2) (x, minus_infty), M_PI);
x = -random_greater (0);
check ("atan2 (y,-inf) == -pi for finite y < 0",
FUNC(atan2) (x, minus_infty), -M_PI);
check ("atan2 (+inf,+inf) == +pi/4",
FUNC(atan2) (plus_infty, plus_infty), M_PI_4);
check ("atan2 (-inf,+inf) == -pi/4",
FUNC(atan2) (minus_infty, plus_infty), -M_PI_4);
check ("atan2 (+inf,-inf) == +3*pi/4",
FUNC(atan2) (plus_infty, minus_infty), 3 * M_PI_4);
check ("atan2 (-inf,-inf) == -3*pi/4",
FUNC(atan2) (minus_infty, minus_infty), -3 * M_PI_4);
}
static void
atanh_test (void)
{
check ("atanh(+0) == +0", FUNC(atanh) (0), 0);
check ("atanh(-0) == -0", FUNC(atanh) (minus_zero), minus_zero);
check_isinfp_exc ("atanh(+1) == +inf plus divide-by-zero exception",
FUNC(atanh) (1), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfn_exc ("atanh(-1) == -inf plus divide-by-zero exception",
FUNC(atanh) (-1), DIVIDE_BY_ZERO_EXCEPTION);
}
static void
cbrt_test (void)
{
check ("cbrt (+0) == +0", FUNC(cbrt) (0.0), 0.0);
check ("cbrt (-0) == -0", FUNC(cbrt) (minus_zero), minus_zero);
check_isinfp ("cbrt (+inf) == +inf", FUNC(cbrt) (plus_infty));
check_isinfn ("cbrt (-inf) == -inf", FUNC(cbrt) (minus_infty));
check_isnan ("cbrt (NaN) == NaN", FUNC(cbrt) (nan_value));
check_eps ("cbrt (8) == 2", FUNC(cbrt) (8), 2, CHOOSE (5e-17L, 0, 0));
check_eps ("cbrt (-27) == -3", FUNC(cbrt) (-27.0), -3.0,
CHOOSE (3e-16L, 0, 0));
}
static void
ceil_test (void)
{
check ("ceil (+0) == +0", FUNC(ceil) (0.0), 0.0);
check ("ceil (-0) == -0", FUNC(ceil) (minus_zero), minus_zero);
check_isinfp ("ceil (+inf) == +inf", FUNC(ceil) (plus_infty));
check_isinfn ("ceil (-inf) == -inf", FUNC(ceil) (minus_infty));
check ("ceil (pi) == 4", FUNC(ceil) (M_PI), 4.0);
check ("ceil (-pi) == -3", FUNC(ceil) (-M_PI), -3.0);
}
static void
cos_test (void)
{
check ("cos (+0) == 1", FUNC(cos) (0), 1);
check ("cos (-0) == 1", FUNC(cos) (minus_zero), 1);
check_isnan_exc ("cos (+inf) == NaN plus invalid exception",
FUNC(cos) (plus_infty),
INVALID_EXCEPTION);
check_isnan_exc ("cos (-inf) == NaN plus invalid exception",
FUNC(cos) (minus_infty),
INVALID_EXCEPTION);
check_eps ("cos (pi/3) == 0.5", FUNC(cos) (M_PI / 3.0),
0.5, CHOOSE (4e-18L, 1e-15L, 1e-7L));
check_eps ("cos (pi/2) == 0", FUNC(cos) (M_PI_2),
0, CHOOSE (1e-19L, 1e-16L, 1e-7L));
}
static void
cosh_test (void)
{
check ("cosh (+0) == 1", FUNC(cosh) (0), 1);
check ("cosh (-0) == 1", FUNC(cosh) (minus_zero), 1);
check_isinfp ("cosh (+inf) == +inf", FUNC(cosh) (plus_infty));
check_isinfp ("cosh (-inf) == +inf", FUNC(cosh) (minus_infty));
}
static void
exp_test (void)
{
check ("exp (+0) == 1", FUNC(exp) (0), 1);
check ("exp (-0) == 1", FUNC(exp) (minus_zero), 1);
check_isinfp ("exp (+inf) == +inf", FUNC(exp) (plus_infty));
check ("exp (-inf) == 0", FUNC(exp) (minus_infty), 0);
check_eps ("exp (1) == e", FUNC(exp) (1), M_E, CHOOSE (4e-18L, 0, 0));
}
static void
exp2_test (void)
{
errno = 0;
exp2(0);
if (errno == ENOSYS)
/* Function not implemented. */
return;
check ("exp2 (+0) == 1", FUNC(exp2) (0), 1);
check ("exp2 (-0) == 1", FUNC(exp2) (minus_zero), 1);
check_isinfp ("exp2 (+inf) == +inf", FUNC(exp2) (plus_infty));
check ("exp2 (-inf) == 0", FUNC(exp2) (minus_infty), 0);
check ("exp2 (10) == 1024", FUNC(exp2) (10), 1024);
}
static void
expm1_test (void)
{
check ("expm1 (+0) == 0", FUNC(expm1) (0), 0);
check ("expm1 (-0) == -0", FUNC(expm1) (minus_zero), minus_zero);
check_isinfp ("expm1 (+inf) == +inf", FUNC(expm1) (plus_infty));
check ("expm1 (-inf) == -1", FUNC(expm1) (minus_infty), -1);
check_eps ("expm1 (1) == e-1", FUNC(expm1) (1), M_E - 1.0,
CHOOSE (4e-18L, 0, 0));
}
static void
check_frexp (const char *test_name, MATHTYPE computed, MATHTYPE expected,
int comp_int, int exp_int)
{
MATHTYPE diff;
int result;
result = (check_equal (computed, expected, 0, &diff)
&& (comp_int == exp_int));
if (result)
{
if (verbose > 2)
printf ("Pass: %s\n", test_name);
}
else
{
if (verbose)
printf ("Fail: %s\n", test_name);
if (verbose > 1)
{
printf ("Result:\n");
printf (" is: %.20" PRINTF_EXPR " *2^%d\n", computed, comp_int);
printf (" should be: %.20" PRINTF_EXPR " *2^%d\n", expected, exp_int);
printf (" difference: %.20" PRINTF_EXPR "\n", diff);
}
noErrors++;
}
fpstack_test (test_name);
output_result (test_name, result,
computed, expected, diff, PRINT, PRINT);
}
static void
frexp_test (void)
{
int x_int;
MATHTYPE result;
result = FUNC(frexp) (plus_infty, &x_int);
check_isinfp ("frexp (+inf, expr) == +inf", result);
result = FUNC(frexp) (minus_infty, &x_int);
check_isinfn ("frexp (-inf, expr) == -inf", result);
result = FUNC(frexp) (nan_value, &x_int);
check_isnan ("frexp (Nan, expr) == NaN", result);
result = FUNC(frexp) (0, &x_int);
check_frexp ("frexp: +0 == 0 * 2^0", result, 0, x_int, 0);
result = FUNC(frexp) (minus_zero, &x_int);
check_frexp ("frexp: -0 == -0 * 2^0", result, minus_zero, x_int, 0);
result = FUNC(frexp) (12.8L, &x_int);
check_frexp ("frexp: 12.8 == 0.8 * 2^4", result, 0.8L, x_int, 4);
result = FUNC(frexp) (-27.34L, &x_int);
check_frexp ("frexp: -27.34 == -0.854375 * 2^5", result, -0.854375L, x_int, 5);
}
#if __GLIBC__ < 2 || (__GLIBC__ == 2 && __GLIBC_MINOR__ < 1)
/* All floating-point numbers can be put in one of these categories. */
enum
{
FP_NAN,
#define FP_NAN FP_NAN
FP_INFINITE,
#define FP_INFINITE FP_INFINITE
FP_ZERO,
#define FP_ZERO FP_ZERO
FP_SUBNORMAL,
#define FP_SUBNORMAL FP_SUBNORMAL
FP_NORMAL
#define FP_NORMAL FP_NORMAL
};
#endif
static void
fpclassify_test (void)
{
MATHTYPE x;
/* fpclassify is a macro, don't give it constants as parameter */
check_bool ("fpclassify (NaN) == FP_NAN", fpclassify (nan_value) == FP_NAN);
check_bool ("fpclassify (+inf) == FP_INFINITE",
fpclassify (plus_infty) == FP_INFINITE);
check_bool ("fpclassify (-inf) == FP_INFINITE",
fpclassify (minus_infty) == FP_INFINITE);
check_bool ("fpclassify (+0) == FP_ZERO",
fpclassify (plus_zero) == FP_ZERO);
check_bool ("fpclassify (-0) == FP_ZERO",
fpclassify (minus_zero) == FP_ZERO);
x = 1000.0;
check_bool ("fpclassify (1000) == FP_NORMAL",
fpclassify (x) == FP_NORMAL);
}
static void
ilogb_test (void)
{
/* XXX Are these tests correct? I couldn't find any specification */
#if 0
/* the source suggests that the following calls should fail -
but shall we test these special cases or just ignore them? */
check_isinfp ("ilogb (+inf) == +inf", FUNC(ilogb) (plus_infty));
check_isinfp ("ilogb (-inf) == +inf", FUNC(ilogb) (minus_infty));
check_isinfn_exc ("ilogb (+0) == -inf plus divide-by-zero exception",
FUNC(ilogb) (0), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfn_exc ("ilogb (-0) == -inf plus divide-by-zero exception",
FUNC(ilogb) (minus_zero), DIVIDE_BY_ZERO_EXCEPTION);
#endif
check ("ilogb (1) == 0", FUNC(ilogb) (1), 0);
check ("ilogb (e) == 1", FUNC(ilogb) (M_E), 1);
check ("ilogb (1024) == 10", FUNC(ilogb) (1024), 10);
check ("ilogb (-2000) == 10", FUNC(ilogb) (-2000), 10);
}
static void
ldexp_test (void)
{
MATHTYPE x;
check ("ldexp (0, 0) == 0", FUNC(ldexp) (0, 0), 0);
check_isinfp ("ldexp (+inf, 1) == +inf", FUNC(ldexp) (plus_infty, 1));
check_isinfn ("ldexp (-inf, 1) == -inf", FUNC(ldexp) (minus_infty, 1));
check_isnan ("ldexp (NaN, 1) == NaN", FUNC(ldexp) (nan_value, 1));
check ("ldexp (0.8, 4) == 12.8", FUNC(ldexp) (0.8L, 4), 12.8L);
check ("ldexp (-0.854375, 5) == -27.34", FUNC(ldexp) (-0.854375L, 5), -27.34L);
x = random_greater (0.0);
check_ext ("ldexp (x, 0) == x", FUNC(ldexp) (x, 0L), x, x);
}
static void
log_test (void)
{
check_isinfn_exc ("log (+0) == -inf plus divide-by-zero exception",
FUNC(log) (0), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfn_exc ("log (-0) == -inf plus divide-by-zero exception",
FUNC(log) (minus_zero), DIVIDE_BY_ZERO_EXCEPTION);
check ("log (1) == 0", FUNC(log) (1), 0);
check_isnan_exc ("log (x) == NaN plus invalid exception if x < 0",
FUNC(log) (-1), INVALID_EXCEPTION);
check_isinfp ("log (+inf) == +inf", FUNC(log) (plus_infty));
check_eps ("log (e) == 1", FUNC(log) (M_E), 1, CHOOSE (1e-18L, 0, 9e-8L));
check_eps ("log (1/e) == -1", FUNC(log) (1.0 / M_E), -1,
CHOOSE (2e-18L, 0, 0));
check ("log (2) == M_LN2", FUNC(log) (2), M_LN2);
check_eps ("log (10) == M_LN10", FUNC(log) (10), M_LN10,
CHOOSE (1e-18L, 0, 0));
}
static void
log10_test (void)
{
check_isinfn_exc ("log10 (+0) == -inf plus divide-by-zero exception",
FUNC(log10) (0), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfn_exc ("log10 (-0) == -inf plus divide-by-zero exception",
FUNC(log10) (minus_zero), DIVIDE_BY_ZERO_EXCEPTION);
check ("log10 (1) == +0", FUNC(log10) (1), 0);
check_isnan_exc ("log10 (x) == NaN plus invalid exception if x < 0",
FUNC(log10) (-1), INVALID_EXCEPTION);
check_isinfp ("log10 (+inf) == +inf", FUNC(log10) (plus_infty));
check_eps ("log10 (0.1) == -1", FUNC(log10) (0.1L), -1,
CHOOSE (1e-18L, 0, 0));
check_eps ("log10 (10) == 1", FUNC(log10) (10.0), 1,
CHOOSE (1e-18L, 0, 0));
check_eps ("log10 (100) == 2", FUNC(log10) (100.0), 2,
CHOOSE (1e-18L, 0, 0));
check ("log10 (10000) == 4", FUNC(log10) (10000.0), 4);
check_eps ("log10 (e) == M_LOG10E", FUNC(log10) (M_E), M_LOG10E,
CHOOSE (1e-18, 0, 9e-8));
}
static void
log1p_test (void)
{
check ("log1p (+0) == +0", FUNC(log1p) (0), 0);
check ("log1p (-0) == -0", FUNC(log1p) (minus_zero), minus_zero);
check_isinfn_exc ("log1p (-1) == -inf plus divide-by-zero exception",
FUNC(log1p) (-1), DIVIDE_BY_ZERO_EXCEPTION);
check_isnan_exc ("log1p (x) == NaN plus invalid exception if x < -1",
FUNC(log1p) (-2), INVALID_EXCEPTION);
check_isinfp ("log1p (+inf) == +inf", FUNC(log1p) (plus_infty));
check_eps ("log1p (e-1) == 1", FUNC(log1p) (M_E - 1.0), 1,
CHOOSE (1e-18L, 0, 0));
}
static void
log2_test (void)
{
check_isinfn_exc ("log2 (+0) == -inf plus divide-by-zero exception",
FUNC(log2) (0), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfn_exc ("log2 (-0) == -inf plus divide-by-zero exception",
FUNC(log2) (minus_zero), DIVIDE_BY_ZERO_EXCEPTION);
check ("log2 (1) == +0", FUNC(log2) (1), 0);
check_isnan_exc ("log2 (x) == NaN plus invalid exception if x < 0",
FUNC(log2) (-1), INVALID_EXCEPTION);
check_isinfp ("log2 (+inf) == +inf", FUNC(log2) (plus_infty));
check_eps ("log2 (e) == M_LOG2E", FUNC(log2) (M_E), M_LOG2E,
CHOOSE (1e-18L, 0, 0));
check ("log2 (2) == 1", FUNC(log2) (2.0), 1);
check_eps ("log2 (16) == 4", FUNC(log2) (16.0), 4, CHOOSE (1e-18L, 0, 0));
check ("log2 (256) == 8", FUNC(log2) (256.0), 8);
}
static void
logb_test (void)
{
check_isinfp ("logb (+inf) == +inf", FUNC(logb) (plus_infty));
check_isinfp ("logb (-inf) == +inf", FUNC(logb) (minus_infty));
check_isinfn_exc ("logb (+0) == -inf plus divide-by-zero exception",
FUNC(logb) (0), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfn_exc ("logb (-0) == -inf plus divide-by-zero exception",
FUNC(logb) (minus_zero), DIVIDE_BY_ZERO_EXCEPTION);
check ("logb (1) == 0", FUNC(logb) (1), 0);
check ("logb (e) == 1", FUNC(logb) (M_E), 1);
check ("logb (1024) == 10", FUNC(logb) (1024), 10);
check ("logb (-2000) == 10", FUNC(logb) (-2000), 10);
}
static void
modf_test (void)
{
MATHTYPE result, intpart;
result = FUNC(modf) (plus_infty, &intpart);
check ("modf (+inf, &x) returns +0", result, 0);
check_isinfp ("modf (+inf, &x) set x to +inf", intpart);
result = FUNC(modf) (minus_infty, &intpart);
check ("modf (-inf, &x) returns -0", result, minus_zero);
check_isinfn ("modf (-inf, &x) sets x to -inf", intpart);
result = FUNC(modf) (nan_value, &intpart);
check_isnan ("modf (NaN, &x) returns NaN", result);
check_isnan ("modf (NaN, &x) sets x to NaN", intpart);
result = FUNC(modf) (0, &intpart);
check ("modf (0, &x) returns 0", result, 0);
check ("modf (0, &x) sets x to 0", intpart, 0);
result = FUNC(modf) (minus_zero, &intpart);
check ("modf (-0, &x) returns -0", result, minus_zero);
check ("modf (-0, &x) sets x to -0", intpart, minus_zero);
result = FUNC(modf) (2.5, &intpart);
check ("modf (2.5, &x) returns 0.5", result, 0.5);
check ("modf (2.5, &x) sets x to 2", intpart, 2);
result = FUNC(modf) (-2.5, &intpart);
check ("modf (-2.5, &x) returns -0.5", result, -0.5);
check ("modf (-2.5, &x) sets x to -2", intpart, -2);
}
static void
scalb_test (void)
{
MATHTYPE x;
check ("scalb (0, 0) == 0", FUNC(scalb) (0, 0), 0);
check_isinfp ("scalb (+inf, 1) == +inf", FUNC(scalb) (plus_infty, 1));
check_isinfn ("scalb (-inf, 1) == -inf", FUNC(scalb) (minus_infty, 1));
check_isnan ("scalb (NaN, 1) == NaN", FUNC(scalb) (nan_value, 1));
check ("scalb (0.8, 4) == 12.8", FUNC(scalb) (0.8L, 4), 12.8L);
check ("scalb (-0.854375, 5) == -27.34", FUNC(scalb) (-0.854375L, 5), -27.34L);
x = random_greater (0.0);
check_ext ("scalb (x, 0) == x", FUNC(scalb) (x, 0L), x, x);
}
static void
scalbn_test (void)
{
MATHTYPE x;
check ("scalbn (0, 0) == 0", FUNC(scalbn) (0, 0), 0);
check_isinfp ("scalbn (+inf, 1) == +inf", FUNC(scalbn) (plus_infty, 1));
check_isinfn ("scalbn (-inf, 1) == -inf", FUNC(scalbn) (minus_infty, 1));
check_isnan ("scalbn (NaN, 1) == NaN", FUNC(scalbn) (nan_value, 1));
check ("scalbn (0.8, 4) == 12.8", FUNC(scalbn) (0.8L, 4), 12.8L);
check ("scalbn (-0.854375, 5) == -27.34", FUNC(scalbn) (-0.854375L, 5), -27.34L);
x = random_greater (0.0);
check_ext ("scalbn (x, 0) == x", FUNC(scalbn) (x, 0L), x, x);
}
static void
sin_test (void)
{
check ("sin (+0) == +0", FUNC(sin) (0), 0);
check ("sin (-0) == -0", FUNC(sin) (minus_zero), minus_zero);
check_isnan_exc ("sin (+inf) == NaN plus invalid exception",
FUNC(sin) (plus_infty),
INVALID_EXCEPTION);
check_isnan_exc ("sin (-inf) == NaN plus invalid exception",
FUNC(sin) (minus_infty),
INVALID_EXCEPTION);
check_eps ("sin (pi/6) == 0.5", FUNC(sin) (M_PI / 6.0), 0.5,
CHOOSE (4e-18L, 0, 0));
check ("sin (pi/2) == 1", FUNC(sin) (M_PI_2), 1);
}
static void
sinh_test (void)
{
check ("sinh (+0) == +0", FUNC(sinh) (0), 0);
check ("sinh (-0) == -0", FUNC(sinh) (minus_zero), minus_zero);
check_isinfp ("sinh (+inf) == +inf", FUNC(sinh) (plus_infty));
check_isinfn ("sinh (-inf) == -inf", FUNC(sinh) (minus_infty));
}
static void
tan_test (void)
{
check ("tan (+0) == +0", FUNC(tan) (0), 0);
check ("tan (-0) == -0", FUNC(tan) (minus_zero), minus_zero);
check_isnan_exc ("tan (+inf) == NaN plus invalid exception",
FUNC(tan) (plus_infty), INVALID_EXCEPTION);
check_isnan_exc ("tan (-inf) == NaN plus invalid exception",
FUNC(tan) (minus_infty), INVALID_EXCEPTION);
check_eps ("tan (pi/4) == 1", FUNC(tan) (M_PI_4), 1,
CHOOSE (2e-18L, 1e-15L, 0));
}
static void
tanh_test (void)
{
check ("tanh (+0) == +0", FUNC(tanh) (0), 0);
check ("tanh (-0) == -0", FUNC(tanh) (minus_zero), minus_zero);
check ("tanh (+inf) == +1", FUNC(tanh) (plus_infty), 1);
check ("tanh (-inf) == -1", FUNC(tanh) (minus_infty), -1);
}
static void
fabs_test (void)
{
check ("fabs (+0) == +0", FUNC(fabs) (0), 0);
check ("fabs (-0) == +0", FUNC(fabs) (minus_zero), 0);
check_isinfp ("fabs (+inf) == +inf", FUNC(fabs) (plus_infty));
check_isinfp ("fabs (-inf) == +inf", FUNC(fabs) (minus_infty));
check ("fabs (+38) == 38", FUNC(fabs) (38.0), 38.0);
check ("fabs (-e) == e", FUNC(fabs) (-M_E), M_E);
}
static void
floor_test (void)
{
check ("floor (+0) == +0", FUNC(floor) (0.0), 0.0);
check ("floor (-0) == -0", FUNC(floor) (minus_zero), minus_zero);
check_isinfp ("floor (+inf) == +inf", FUNC(floor) (plus_infty));
check_isinfn ("floor (-inf) == -inf", FUNC(floor) (minus_infty));
check ("floor (pi) == 3", FUNC(floor) (M_PI), 3.0);
check ("floor (-pi) == -4", FUNC(floor) (-M_PI), -4.0);
}
static void
hypot_test (void)
{
MATHTYPE a;
a = random_greater (0);
check_isinfp_ext ("hypot (+inf, x) == +inf", FUNC(hypot) (plus_infty, a), a);
check_isinfp_ext ("hypot (-inf, x) == +inf", FUNC(hypot) (minus_infty, a), a);
check_isnan ("hypot (NaN, NaN) == NaN", FUNC(hypot) (nan_value, nan_value));
a = FUNC(hypot) (12.4L, 0.7L);
check ("hypot (x,y) == hypot (y,x)", FUNC(hypot) (0.7L, 12.4L), a);
check ("hypot (x,y) == hypot (-x,y)", FUNC(hypot) (-12.4L, 0.7L), a);
check ("hypot (x,y) == hypot (-y,x)", FUNC(hypot) (-0.7L, 12.4L), a);
check ("hypot (x,y) == hypot (-x,-y)", FUNC(hypot) (-12.4L, -0.7L), a);
check ("hypot (x,y) == hypot (-y,-x)", FUNC(hypot) (-0.7L, -12.4L), a);
check ("hypot (x,0) == fabs (x)", FUNC(hypot) (-0.7L, 0), 0.7L);
check ("hypot (x,0) == fabs (x)", FUNC(hypot) (0.7L, 0), 0.7L);
check ("hypot (x,0) == fabs (x)", FUNC(hypot) (-1.0L, 0), 1.0L);
check ("hypot (x,0) == fabs (x)", FUNC(hypot) (1.0L, 0), 1.0L);
check ("hypot (x,0) == fabs (x)", FUNC(hypot) (-5.7e7L, 0), 5.7e7L);
check ("hypot (x,0) == fabs (x)", FUNC(hypot) (5.7e7L, 0), 5.7e7L);
}
static void
pow_test (void)
{
MATHTYPE x;
check ("pow (+0, +0) == 1", FUNC(pow) (0, 0), 1);
check ("pow (+0, -0) == 1", FUNC(pow) (0, minus_zero), 1);
check ("pow (-0, +0) == 1", FUNC(pow) (minus_zero, 0), 1);
check ("pow (-0, -0) == 1", FUNC(pow) (minus_zero, minus_zero), 1);
check ("pow (+10, +0) == 1", FUNC(pow) (10, 0), 1);
check ("pow (+10, -0) == 1", FUNC(pow) (10, minus_zero), 1);
check ("pow (-10, +0) == 1", FUNC(pow) (-10, 0), 1);
check ("pow (-10, -0) == 1", FUNC(pow) (-10, minus_zero), 1);
check ("pow (NaN, +0) == 1", FUNC(pow) (nan_value, 0), 1);
check ("pow (NaN, -0) == 1", FUNC(pow) (nan_value, minus_zero), 1);
check_isinfp ("pow (+1.1, +inf) == +inf", FUNC(pow) (1.1, plus_infty));
check_isinfp ("pow (+inf, +inf) == +inf", FUNC(pow) (plus_infty, plus_infty));
check_isinfp ("pow (-1.1, +inf) == +inf", FUNC(pow) (-1.1, plus_infty));
check_isinfp ("pow (-inf, +inf) == +inf", FUNC(pow) (minus_infty, plus_infty));
check ("pow (0.9, +inf) == +0", FUNC(pow) (0.9L, plus_infty), 0);
check ("pow (1e-7, +inf) == +0", FUNC(pow) (1e-7L, plus_infty), 0);
check ("pow (-0.9, +inf) == +0", FUNC(pow) (-0.9L, plus_infty), 0);
check ("pow (-1e-7, +inf) == +0", FUNC(pow) (-1e-7L, plus_infty), 0);
check ("pow (+1.1, -inf) == 0", FUNC(pow) (1.1, minus_infty), 0);
check ("pow (+inf, -inf) == 0", FUNC(pow) (plus_infty, minus_infty), 0);
check ("pow (-1.1, -inf) == 0", FUNC(pow) (-1.1, minus_infty), 0);
check ("pow (-inf, -inf) == 0", FUNC(pow) (minus_infty, minus_infty), 0);
check_isinfp ("pow (0.9, -inf) == +inf", FUNC(pow) (0.9L, minus_infty));
check_isinfp ("pow (1e-7, -inf) == +inf", FUNC(pow) (1e-7L, minus_infty));
check_isinfp ("pow (-0.9, -inf) == +inf", FUNC(pow) (-0.9L, minus_infty));
check_isinfp ("pow (-1e-7, -inf) == +inf", FUNC(pow) (-1e-7L, minus_infty));
check_isinfp ("pow (+inf, 1e-7) == +inf", FUNC(pow) (plus_infty, 1e-7L));
check_isinfp ("pow (+inf, 1) == +inf", FUNC(pow) (plus_infty, 1));
check_isinfp ("pow (+inf, 1e7) == +inf", FUNC(pow) (plus_infty, 1e7L));
check ("pow (+inf, -1e-7) == 0", FUNC(pow) (plus_infty, -1e-7L), 0);
check ("pow (+inf, -1) == 0", FUNC(pow) (plus_infty, -1), 0);
check ("pow (+inf, -1e7) == 0", FUNC(pow) (plus_infty, -1e7L), 0);
check_isinfn ("pow (-inf, 1) == -inf", FUNC(pow) (minus_infty, 1));
check_isinfn ("pow (-inf, 11) == -inf", FUNC(pow) (minus_infty, 11));
check_isinfn ("pow (-inf, 1001) == -inf", FUNC(pow) (minus_infty, 1001));
check_isinfp ("pow (-inf, 2) == +inf", FUNC(pow) (minus_infty, 2));
check_isinfp ("pow (-inf, 12) == +inf", FUNC(pow) (minus_infty, 12));
check_isinfp ("pow (-inf, 1002) == +inf", FUNC(pow) (minus_infty, 1002));
check_isinfp ("pow (-inf, 0.1) == +inf", FUNC(pow) (minus_infty, 0.1));
check_isinfp ("pow (-inf, 1.1) == +inf", FUNC(pow) (minus_infty, 1.1));
check_isinfp ("pow (-inf, 11.1) == +inf", FUNC(pow) (minus_infty, 11.1));
check_isinfp ("pow (-inf, 1001.1) == +inf", FUNC(pow) (minus_infty, 1001.1));
check ("pow (-inf, -1) == -0", FUNC(pow) (minus_infty, -1), minus_zero);
check ("pow (-inf, -11) == -0", FUNC(pow) (minus_infty, -11), minus_zero);
check ("pow (-inf, -1001) == -0", FUNC(pow) (minus_infty, -1001), minus_zero);
check ("pow (-inf, -2) == +0", FUNC(pow) (minus_infty, -2), 0);
check ("pow (-inf, -12) == +0", FUNC(pow) (minus_infty, -12), 0);
check ("pow (-inf, -1002) == +0", FUNC(pow) (minus_infty, -1002), 0);
check ("pow (-inf, -0.1) == +0", FUNC(pow) (minus_infty, -0.1), 0);
check ("pow (-inf, -1.1) == +0", FUNC(pow) (minus_infty, -1.1), 0);
check ("pow (-inf, -11.1) == +0", FUNC(pow) (minus_infty, -11.1), 0);
check ("pow (-inf, -1001.1) == +0", FUNC(pow) (minus_infty, -1001.1), 0);
check_isnan ("pow (NaN, NaN) == NaN", FUNC(pow) (nan_value, nan_value));
check_isnan ("pow (0, NaN) == NaN", FUNC(pow) (0, nan_value));
check_isnan ("pow (1, NaN) == NaN", FUNC(pow) (1, nan_value));
check_isnan ("pow (-1, NaN) == NaN", FUNC(pow) (-1, nan_value));
check_isnan ("pow (NaN, 1) == NaN", FUNC(pow) (nan_value, 1));
check_isnan ("pow (NaN, -1) == NaN", FUNC(pow) (nan_value, -1));
x = random_greater (0.0);
check_isnan_ext ("pow (x, NaN) == NaN", FUNC(pow) (x, nan_value), x);
check_isnan_exc ("pow (+1, +inf) == NaN plus invalid exception",
FUNC(pow) (1, plus_infty), INVALID_EXCEPTION);
check_isnan_exc ("pow (-1, +inf) == NaN plus invalid exception",
FUNC(pow) (-1, plus_infty), INVALID_EXCEPTION);
check_isnan_exc ("pow (+1, -inf) == NaN plus invalid exception",
FUNC(pow) (1, minus_infty), INVALID_EXCEPTION);
check_isnan_exc ("pow (-1, -inf) == NaN plus invalid exception",
FUNC(pow) (-1, minus_infty), INVALID_EXCEPTION);
check_isnan_exc ("pow (-0.1, 1.1) == NaN plus invalid exception",
FUNC(pow) (-0.1, 1.1), INVALID_EXCEPTION);
check_isnan_exc ("pow (-0.1, -1.1) == NaN plus invalid exception",
FUNC(pow) (-0.1, -1.1), INVALID_EXCEPTION);
check_isnan_exc ("pow (-10.1, 1.1) == NaN plus invalid exception",
FUNC(pow) (-10.1, 1.1), INVALID_EXCEPTION);
check_isnan_exc ("pow (-10.1, -1.1) == NaN plus invalid exception",
FUNC(pow) (-10.1, -1.1), INVALID_EXCEPTION);
check_isinfp_exc ("pow (+0, -1) == +inf plus divide-by-zero exception",
FUNC(pow) (0, -1), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfp_exc ("pow (+0, -11) == +inf plus divide-by-zero exception",
FUNC(pow) (0, -11), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfn_exc ("pow (-0, -1) == -inf plus divide-by-zero exception",
FUNC(pow) (minus_zero, -1), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfn_exc ("pow (-0, -11) == -inf plus divide-by-zero exception",
FUNC(pow) (minus_zero, -11), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfp_exc ("pow (+0, -2) == +inf plus divide-by-zero exception",
FUNC(pow) (0, -2), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfp_exc ("pow (+0, -11.1) == +inf plus divide-by-zero exception",
FUNC(pow) (0, -11.1), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfp_exc ("pow (-0, -2) == +inf plus divide-by-zero exception",
FUNC(pow) (minus_zero, -2), DIVIDE_BY_ZERO_EXCEPTION);
check_isinfp_exc ("pow (-0, -11.1) == +inf plus divide-by-zero exception",
FUNC(pow) (minus_zero, -11.1), DIVIDE_BY_ZERO_EXCEPTION);
check ("pow (+0, 1) == +0", FUNC(pow) (0, 1), 0);
check ("pow (+0, 11) == +0", FUNC(pow) (0, 11), 0);
check ("pow (-0, 1) == -0", FUNC(pow) (minus_zero, 1), minus_zero);
check ("pow (-0, 11) == -0", FUNC(pow) (minus_zero, 11), minus_zero);
check ("pow (+0, 2) == +0", FUNC(pow) (0, 2), 0);
check ("pow (+0, 11.1) == +0", FUNC(pow) (0, 11.1), 0);
check ("pow (-0, 2) == +0", FUNC(pow) (minus_zero, 2), 0);
check ("pow (-0, 11.1) == +0", FUNC(pow) (minus_zero, 11.1), 0);
x = random_greater (1.0);
check_isinfp_ext ("pow (x, +inf) == +inf for |x| > 1",
FUNC(pow) (x, plus_infty), x);
x = random_value (-1.0, 1.0);
check_ext ("pow (x, +inf) == +0 for |x| < 1",
FUNC(pow) (x, plus_infty), 0.0, x);
x = random_greater (1.0);
check_ext ("pow (x, -inf) == +0 for |x| > 1",
FUNC(pow) (x, minus_infty), 0.0, x);
x = random_value (-1.0, 1.0);
check_isinfp_ext ("pow (x, -inf) == +inf for |x| < 1",
FUNC(pow) (x, minus_infty), x);
x = random_greater (0.0);
check_isinfp_ext ("pow (+inf, y) == +inf for y > 0",
FUNC(pow) (plus_infty, x), x);
x = random_less (0.0);
check_ext ("pow (+inf, y) == +0 for y < 0",
FUNC(pow) (plus_infty, x), 0.0, x);
x = (rand () % 1000000) * 2.0 + 1; /* Get random odd integer > 0 */
check_isinfn_ext ("pow (-inf, y) == -inf for y an odd integer > 0",
FUNC(pow) (minus_infty, x), x);
x = ((rand () % 1000000) + 1) * 2.0; /* Get random even integer > 1 */
check_isinfp_ext ("pow (-inf, y) == +inf for y > 0 and not an odd integer",
FUNC(pow) (minus_infty, x), x);
x = -((rand () % 1000000) * 2.0 + 1); /* Get random odd integer < 0 */
check_ext ("pow (-inf, y) == -0 for y an odd integer < 0",
FUNC(pow) (minus_infty, x), minus_zero, x);
x = ((rand () % 1000000) + 1) * -2.0; /* Get random even integer < 0 */
check_ext ("pow (-inf, y) == +0 for y < 0 and not an odd integer",
FUNC(pow) (minus_infty, x), 0.0, x);
x = (rand () % 1000000) * 2.0 + 1; /* Get random odd integer > 0 */
check_ext ("pow (+0, y) == +0 for y an odd integer > 0",
FUNC(pow) (0.0, x), 0.0, x);
x = (rand () % 1000000) * 2.0 + 1; /* Get random odd integer > 0 */
check_ext ("pow (-0, y) == -0 for y an odd integer > 0",
FUNC(pow) (minus_zero, x), minus_zero, x);
x = ((rand () % 1000000) + 1) * 2.0; /* Get random even integer > 1 */
check_ext ("pow (+0, y) == +0 for y > 0 and not an odd integer",
FUNC(pow) (0.0, x), 0.0, x);
x = ((rand () % 1000000) + 1) * 2.0; /* Get random even integer > 1 */
check_ext ("pow (-0, y) == +0 for y > 0 and not an odd integer",
FUNC(pow) (minus_zero, x), 0.0, x);
}
static void
fdim_test (void)
{
check ("fdim (+0, +0) = +0", FUNC(fdim) (0, 0), 0);
check ("fdim (9, 0) = 9", FUNC(fdim) (9, 0), 9);
check ("fdim (0, 9) = 0", FUNC(fdim) (0, 9), 0);
check ("fdim (-9, 0) = 9", FUNC(fdim) (-9, 0), 0);
check ("fdim (0, -9) = 9", FUNC(fdim) (0, -9), 9);
check_isinfp ("fdim (+inf, 9) = +inf", FUNC(fdim) (plus_infty, 9));
check_isinfp ("fdim (+inf, -9) = +inf", FUNC(fdim) (plus_infty, -9));
check ("fdim (-inf, 9) = 0", FUNC(fdim) (minus_infty, 9), 0);
check ("fdim (-inf, -9) = 0", FUNC(fdim) (minus_infty, -9), 0);
check_isinfp ("fdim (+9, -inf) = +inf", FUNC(fdim) (9, minus_infty));
check_isinfp ("fdim (-9, -inf) = +inf", FUNC(fdim) (-9, minus_infty));
check ("fdim (9, inf) = 0", FUNC(fdim) (9, plus_infty), 0);
check ("fdim (-9, inf) = 0", FUNC(fdim) (-9, plus_infty), 0);
check_isnan ("fdim (0, NaN) = NaN", FUNC(fdim) (0, nan_value));
check_isnan ("fdim (9, NaN) = NaN", FUNC(fdim) (9, nan_value));
check_isnan ("fdim (-9, NaN) = NaN", FUNC(fdim) (-9, nan_value));
check_isnan ("fdim (NaN, 9) = NaN", FUNC(fdim) (nan_value, 9));
check_isnan ("fdim (NaN, -9) = NaN", FUNC(fdim) (nan_value, -9));
check_isnan ("fdim (+inf, NaN) = NaN", FUNC(fdim) (plus_infty, nan_value));
check_isnan ("fdim (-inf, NaN) = NaN", FUNC(fdim) (minus_infty, nan_value));
check_isnan ("fdim (NaN, +inf) = NaN", FUNC(fdim) (nan_value, plus_infty));
check_isnan ("fdim (NaN, -inf) = NaN", FUNC(fdim) (nan_value, minus_infty));
check_isnan ("fdim (NaN, NaN) = NaN", FUNC(fdim) (nan_value, nan_value));
}
static void
fmin_test (void)
{
check ("fmin (+0, +0) = +0", FUNC(fmin) (0, 0), 0);
check ("fmin (9, 0) = 0", FUNC(fmin) (9, 0), 0);
check ("fmin (0, 9) = 0", FUNC(fmin) (0, 9), 0);
check ("fmin (-9, 0) = -9", FUNC(fmin) (-9, 0), -9);
check ("fmin (0, -9) = -9", FUNC(fmin) (0, -9), -9);
check ("fmin (+inf, 9) = 9", FUNC(fmin) (plus_infty, 9), 9);
check ("fmin (9, +inf) = 9", FUNC(fmin) (9, plus_infty), 9);
check ("fmin (+inf, -9) = -9", FUNC(fmin) (plus_infty, -9), -9);
check ("fmin (-9, +inf) = -9", FUNC(fmin) (-9, plus_infty), -9);
check_isinfn ("fmin (-inf, 9) = -inf", FUNC(fmin) (minus_infty, 9));
check_isinfn ("fmin (-inf, -9) = -inf", FUNC(fmin) (minus_infty, -9));
check_isinfn ("fmin (+9, -inf) = -inf", FUNC(fmin) (9, minus_infty));
check_isinfn ("fmin (-9, -inf) = -inf", FUNC(fmin) (-9, minus_infty));
check ("fmin (0, NaN) = 0", FUNC(fmin) (0, nan_value), 0);
check ("fmin (9, NaN) = 9", FUNC(fmin) (9, nan_value), 9);
check ("fmin (-9, NaN) = 9", FUNC(fmin) (-9, nan_value), -9);
check ("fmin (NaN, 0) = 0", FUNC(fmin) (nan_value, 0), 0);
check ("fmin (NaN, 9) = NaN", FUNC(fmin) (nan_value, 9), 9);
check ("fmin (NaN, -9) = NaN", FUNC(fmin) (nan_value, -9), -9);
check_isinfp ("fmin (+inf, NaN) = +inf", FUNC(fmin) (plus_infty, nan_value));
check_isinfn ("fmin (-inf, NaN) = -inf", FUNC(fmin) (minus_infty, nan_value));
check_isinfp ("fmin (NaN, +inf) = +inf", FUNC(fmin) (nan_value, plus_infty));
check_isinfn ("fmin (NaN, -inf) = -inf", FUNC(fmin) (nan_value, minus_infty));
check_isnan ("fmin (NaN, NaN) = NaN", FUNC(fmin) (nan_value, nan_value));
}
static void
fmax_test (void)
{
check ("fmax (+0, +0) = +0", FUNC(fmax) (0, 0), 0);
check ("fmax (9, 0) = 9", FUNC(fmax) (9, 0), 9);
check ("fmax (0, 9) = 9", FUNC(fmax) (0, 9), 9);
check ("fmax (-9, 0) = 0", FUNC(fmax) (-9, 0), 0);
check ("fmax (0, -9) = 0", FUNC(fmax) (0, -9), 0);
check_isinfp ("fmax (+inf, 9) = +inf", FUNC(fmax) (plus_infty, 9));
check_isinfp ("fmax (9, +inf) = +inf", FUNC(fmax) (0, plus_infty));
check_isinfp ("fmax (-9, +inf) = +inf", FUNC(fmax) (-9, plus_infty));
check_isinfp ("fmax (+inf, -9) = +inf", FUNC(fmax) (plus_infty, -9));
check ("fmax (-inf, 9) = 9", FUNC(fmax) (minus_infty, 9), 9);
check ("fmax (-inf, -9) = -9", FUNC(fmax) (minus_infty, -9), -9);
check ("fmax (+9, -inf) = 9", FUNC(fmax) (9, minus_infty), 9);
check ("fmax (-9, -inf) = -9", FUNC(fmax) (-9, minus_infty), -9);
check ("fmax (0, NaN) = 0", FUNC(fmax) (0, nan_value), 0);
check ("fmax (9, NaN) = 9", FUNC(fmax) (9, nan_value), 9);
check ("fmax (-9, NaN) = 9", FUNC(fmax) (-9, nan_value), -9);
check ("fmax (NaN, 0) = 0", FUNC(fmax) (nan_value, 0), 0);
check ("fmax (NaN, 9) = NaN", FUNC(fmax) (nan_value, 9), 9);
check ("fmax (NaN, -9) = NaN", FUNC(fmax) (nan_value, -9), -9);
check_isinfp ("fmax (+inf, NaN) = +inf", FUNC(fmax) (plus_infty, nan_value));
check_isinfn ("fmax (-inf, NaN) = -inf", FUNC(fmax) (minus_infty, nan_value));
check_isinfp ("fmax (NaN, +inf) = +inf", FUNC(fmax) (nan_value, plus_infty));
check_isinfn ("fmax (NaN, -inf) = -inf", FUNC(fmax) (nan_value, minus_infty));
check_isnan ("fmax (NaN, NaN) = NaN", FUNC(fmax) (nan_value, nan_value));
}
static void
nextafter_test (void)
{
MATHTYPE x;
check ("nextafter (+0, +0) = +0", FUNC(nextafter) (0, 0), 0);
check ("nextafter (-0, +0) = +0", FUNC(nextafter) (minus_zero, 0), 0);
check ("nextafter (+0, -0) = -0", FUNC(nextafter) (0, minus_zero),
minus_zero);
check ("nextafter (-0, -0) = -0", FUNC(nextafter) (minus_zero, minus_zero),
minus_zero);
check ("nextafter (9, 9) = 9", FUNC(nextafter) (9, 9), 9);
check ("nextafter (-9, -9) = -9", FUNC(nextafter) (-9, -9), -9);
check_isinfp ("nextafter (+inf, +inf) = +inf",
FUNC(nextafter) (plus_infty, plus_infty));
check_isinfn ("nextafter (-inf, -inf) = -inf",
FUNC(nextafter) (minus_infty, minus_infty));
x = rand () * 1.1;
check_isnan ("nextafter (NaN, x) = NaN", FUNC(nextafter) (nan_value, x));
check_isnan ("nextafter (x, NaN) = NaN", FUNC(nextafter) (x, nan_value));
check_isnan ("nextafter (NaN, NaN) = NaN", FUNC(nextafter) (nan_value,
nan_value));
/* XXX We need the hexadecimal FP number representation here for further
tests. */
}
static void
copysign_test (void)
{
check ("copysign (0, 4) = 0", FUNC(copysign) (0, 4), 0);
check ("copysign (0, -4) = -0", FUNC(copysign) (0, -4), minus_zero);
check ("copysign (-0, 4) = 0", FUNC(copysign) (minus_zero, 4), 0);
check ("copysign (-0, -4) = -0", FUNC(copysign) (minus_zero, -4),
minus_zero);
check_isinfp ("copysign (+inf, 0) = +inf", FUNC(copysign) (plus_infty, 0));
check_isinfn ("copysign (+inf, -0) = -inf", FUNC(copysign) (plus_infty,
minus_zero));
check_isinfp ("copysign (-inf, 0) = +inf", FUNC(copysign) (minus_infty, 0));
check_isinfn ("copysign (-inf, -0) = -inf", FUNC(copysign) (minus_infty,
minus_zero));
check ("copysign (0, +inf) = 0", FUNC(copysign) (0, plus_infty), 0);
check ("copysign (0, -inf) = -0", FUNC(copysign) (0, minus_zero),
minus_zero);
check ("copysign (-0, +inf) = 0", FUNC(copysign) (minus_zero, plus_infty),
0);
check ("copysign (-0, -inf) = -0", FUNC(copysign) (minus_zero, minus_zero),
minus_zero);
/* XXX More correctly we would have to check the sign of the NaN. */
check_isnan ("copysign (+NaN, 0) = +NaN", FUNC(copysign) (nan_value, 0));
check_isnan ("copysign (+NaN, -0) = -NaN", FUNC(copysign) (nan_value,
minus_zero));
check_isnan ("copysign (-NaN, 0) = +NaN", FUNC(copysign) (-nan_value, 0));
check_isnan ("copysign (-NaN, -0) = -NaN", FUNC(copysign) (-nan_value,
minus_zero));
}
static void
trunc_test (void)
{
check ("trunc(0) = 0", FUNC(trunc) (0), 0);
check ("trunc(-0) = -0", FUNC(trunc) (minus_zero), minus_zero);
check ("trunc(0.625) = 0", FUNC(trunc) (0.625), 0);
check ("trunc(-0.625) = -0", FUNC(trunc) (-0.625), minus_zero);
check ("trunc(1) = 1", FUNC(trunc) (1), 1);
check ("trunc(-1) = -1", FUNC(trunc) (-1), -1);
check ("trunc(1.625) = 1", FUNC(trunc) (1.625), 1);
check ("trunc(-1.625) = -1", FUNC(trunc) (-1.625), -1);
check ("trunc(1048580.625) = 1048580", FUNC(trunc) (1048580.625L),
1048580L);
check ("trunc(-1048580.625) = -1048580", FUNC(trunc) (-1048580.625L),
-1048580L);
check ("trunc(8388610.125) = 8388610", FUNC(trunc) (8388610.125L),
8388610.0L);
check ("trunc(-8388610.125) = -8388610", FUNC(trunc) (-8388610.125L),
-8388610.0L);
check ("trunc(4294967296.625) = 4294967296", FUNC(trunc) (4294967296.625L),
4294967296.0L);
check ("trunc(-4294967296.625) = -4294967296",
FUNC(trunc) (-4294967296.625L), -4294967296.0L);
check_isinfp ("trunc(+inf) = +inf", FUNC(trunc) (plus_infty));
check_isinfn ("trunc(-inf) = -inf", FUNC(trunc) (minus_infty));
check_isnan ("trunc(NaN) = NaN", FUNC(trunc) (nan_value));
}
static void
sqrt_test (void)
{
MATHTYPE x;
/* XXX Tests fuer negative x are missing */
check ("sqrt (0) == 0", FUNC(sqrt) (0), 0);
check_isnan ("sqrt (NaN) == NaN", FUNC(sqrt) (nan_value));
check_isinfp ("sqrt (+inf) == +inf", FUNC(sqrt) (plus_infty));
x = random_value (0, 10000);
check_ext ("sqrt (x*x) == x", FUNC(sqrt) (x*x), x, x);
check ("sqrt (4) == 2", FUNC(sqrt) (4), 2);
}
static void
remquo_test (void)
{
int quo;
MATHTYPE result;
result = FUNC(remquo) (1.625, 1.0, &quo);
check ("remquo(1.625, 1.0, &x) == -0.375", result, -0.375);
check_long ("remquo(1.625, 1.0, &x) puts 1 in x", quo, 1);
result = FUNC(remquo) (-1.625, 1.0, &quo);
check ("remquo(-1.625, 1.0, &x) == 0.375", result, 0.375);
check_long ("remquo(-1.625, 1.0, &x) puts -1 in x", quo, -1);
result = FUNC(remquo) (1.625, -1.0, &quo);
check ("remquo(1.625, -1.0, &x) == -0.375", result, -0.375);
check_long ("remquo(1.625, -1.0, &x) puts -1 in x", quo, -1);
result = FUNC(remquo) (-1.625, -1.0, &quo);
check ("remquo(-1.625, -1.0, &x) == 0.375", result, 0.375);
check_long ("remquo(-1.625, -1.0, &x) puts 1 in x", quo, 1);
}
static void
cexp_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(cexp) (BUILD_COMPLEX (plus_zero, plus_zero));
check ("real(cexp(0 + 0i)) = 1", __real__ result, 1);
check ("imag(cexp(0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(cexp) (BUILD_COMPLEX (minus_zero, plus_zero));
check ("real(cexp(-0 + 0i)) = 1", __real__ result, 1);
check ("imag(cexp(-0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(cexp) (BUILD_COMPLEX (plus_zero, minus_zero));
check ("real(cexp(0 - 0i)) = 1", __real__ result, 1);
check ("imag(cexp(0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(cexp) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(cexp(-0 - 0i)) = 1", __real__ result, 1);
check ("imag(cexp(-0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(cexp) (BUILD_COMPLEX (plus_infty, plus_zero));
check_isinfp ("real(cexp(+inf + 0i)) = +inf", __real__ result);
check ("imag(cexp(+inf + 0i)) = 0", __imag__ result, 0);
result = FUNC(cexp) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isinfp ("real(cexp(+inf - 0i)) = +inf", __real__ result);
check ("imag(cexp(+inf - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(cexp) (BUILD_COMPLEX (minus_infty, plus_zero));
check ("real(cexp(-inf + 0i)) = 0", __real__ result, 0);
check ("imag(cexp(-inf + 0i)) = 0", __imag__ result, 0);
result = FUNC(cexp) (BUILD_COMPLEX (minus_infty, minus_zero));
check ("real(cexp(-inf - 0i)) = 0", __real__ result, 0);
check ("imag(cexp(-inf - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(cexp) (BUILD_COMPLEX (0.0, plus_infty));
check_isnan_exc ("real(cexp(0 + i inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(0 + i inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (minus_zero, plus_infty));
check_isnan_exc ("real(cexp(-0 + i inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(-0 + i inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (0.0, minus_infty));
check_isnan_exc ("real(cexp(0 - i inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(0 - i inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (minus_zero, minus_infty));
check_isnan_exc ("real(cexp(-0 - i inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(-0 - i inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (100.0, plus_infty));
check_isnan_exc ("real(cexp(100.0 + i inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(100.0 + i inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (-100.0, plus_infty));
check_isnan_exc ("real(cexp(-100.0 + i inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(-100.0 + i inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (100.0, minus_infty));
check_isnan_exc ("real(cexp(100.0 - i inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(100.0 - i inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (-100.0, minus_infty));
check_isnan_exc ("real(cexp(-100.0 - i inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(-100.0 - i inf)) = NaN", __imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (minus_infty, 2.0));
check ("real(cexp(-inf + 2.0i)) = -0", __real__ result, minus_zero);
check ("imag(cexp(-inf + 2.0i)) = 0", __imag__ result, 0);
result = FUNC(cexp) (BUILD_COMPLEX (minus_infty, 4.0));
check ("real(cexp(-inf + 4.0i)) = -0", __real__ result, minus_zero);
check ("imag(cexp(-inf + 4.0i)) = -0", __imag__ result, minus_zero);
result = FUNC(cexp) (BUILD_COMPLEX (plus_infty, 2.0));
check_isinfn ("real(cexp(+inf + 2.0i)) = -inf", __real__ result);
check_isinfp ("imag(cexp(+inf + 2.0i)) = +inf", __imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (plus_infty, 4.0));
check_isinfn ("real(cexp(+inf + 4.0i)) = -inf", __real__ result);
check_isinfn ("imag(cexp(+inf + 4.0i)) = -inf", __imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (plus_infty, plus_infty));
check_isinfp_exc ("real(cexp(+inf + i inf)) = +inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(+inf + i inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (plus_infty, minus_infty));
check_isinfp_exc ("real(cexp(+inf - i inf)) = +inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(+inf - i inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (minus_infty, plus_infty));
check ("real(cexp(-inf + i inf)) = 0", __real__ result, 0);
check ("imag(cexp(-inf + i inf)) = 0", __imag__ result, 0);
result = FUNC(cexp) (BUILD_COMPLEX (minus_infty, minus_infty));
check ("real(cexp(-inf - i inf)) = 0", __real__ result, 0);
check ("imag(cexp(-inf - i inf)) = -0", __imag__ result, minus_zero);
result = FUNC(cexp) (BUILD_COMPLEX (minus_infty, nan_value));
check ("real(cexp(-inf + i NaN)) = 0", __real__ result, 0);
check ("imag(cexp(-inf + i NaN)) = 0", fabs (__imag__ result), 0);
result = FUNC(cexp) (BUILD_COMPLEX (plus_infty, nan_value));
check_isinfp ("real(cexp(+inf + i NaN)) = +inf", __real__ result);
check_isnan ("imag(cexp(+inf + i NaN)) = NaN", __imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (nan_value, 0.0));
check_isnan_maybe_exc ("real(cexp(NaN + i0)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(NaN + i0)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (nan_value, 1.0));
check_isnan_maybe_exc ("real(cexp(NaN + 1i)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(NaN + 1i)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (nan_value, plus_infty));
check_isnan_maybe_exc ("real(cexp(NaN + i inf)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(NaN + i inf)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (0, nan_value));
check_isnan_maybe_exc ("real(cexp(0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (1, nan_value));
check_isnan_maybe_exc ("real(cexp(1 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cexp(1 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cexp) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(cexp(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(cexp(NaN + i NaN)) = NaN", __imag__ result);
}
static void
csin_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(csin) (BUILD_COMPLEX (0.0, 0.0));
check ("real(csin(0 + 0i)) = 0", __real__ result, 0);
check ("imag(csin(0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(csin) (BUILD_COMPLEX (minus_zero, 0.0));
check ("real(csin(-0 + 0i)) = -0", __real__ result, minus_zero);
check ("imag(csin(-0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(csin) (BUILD_COMPLEX (0.0, minus_zero));
check ("real(csin(0 - 0i)) = 0", __real__ result, 0);
check ("imag(csin(0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(csin) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(csin(-0 - 0i)) = -0", __real__ result, minus_zero);
check ("imag(csin(-0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(csin) (BUILD_COMPLEX (0.0, plus_infty));
check ("real(csin(0 + i Inf)) = 0", __real__ result, 0);
check_isinfp ("imag(csin(0 + i Inf)) = +Inf", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (minus_zero, plus_infty));
check ("real(csin(-0 + i Inf)) = -0", __real__ result, minus_zero);
check_isinfp ("imag(csin(-0 + i Inf)) = +Inf", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (0.0, minus_infty));
check ("real(csin(0 - i Inf)) = 0", __real__ result, 0);
check_isinfn ("imag(csin(0 - i Inf)) = -Inf", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (minus_zero, minus_infty));
check ("real(csin(-0 - i Inf)) = -0", __real__ result, minus_zero);
check_isinfn("imag(csin(-0 - i Inf)) = -Inf", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (plus_infty, 0.0));
check_isnan_exc ("real(csin(+Inf + 0i)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(csin(+Inf + 0i)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(csin) (BUILD_COMPLEX (minus_infty, 0.0));
check_isnan_exc ("real(csin(-Inf + 0i)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(csin(-Inf + 0i)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(csin) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isnan_exc ("real(csin(+Inf - 0i)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(csin(+Inf - 0i)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0.0);
result = FUNC(csin) (BUILD_COMPLEX (minus_infty, minus_zero));
check_isnan_exc ("real(csin(-Inf - 0i)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(csin(-Inf - 0i)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0.0);
result = FUNC(csin) (BUILD_COMPLEX (plus_infty, plus_infty));
check_isnan_exc ("real(csin(+Inf + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isinfp ("imag(csin(+Inf + i Inf)) = +-Inf plus invalid exception",
FUNC(fabs) (__imag__ result));
result = FUNC(csin) (BUILD_COMPLEX (minus_infty, plus_infty));
check_isnan_exc ("real(csin(-Inf + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isinfp ("imag(csin(-Inf + i Inf)) = +-Inf plus invalid exception",
FUNC(fabs) (__imag__ result));
result = FUNC(csin) (BUILD_COMPLEX (plus_infty, minus_infty));
check_isnan_exc ("real(csin(Inf - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isinfp ("imag(csin(Inf - i Inf)) = +-Inf plus invalid exception",
FUNC(fabs) (__imag__ result));
result = FUNC(csin) (BUILD_COMPLEX (minus_infty, minus_infty));
check_isnan_exc ("real(csin(-Inf - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isinfp ("imag(csin(-Inf - i Inf)) = +-Inf plus invalid exception",
FUNC(fabs) (__imag__ result));
result = FUNC(csin) (BUILD_COMPLEX (plus_infty, 6.75));
check_isnan_exc ("real(csin(+Inf + i 6.75)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(+Inf + i6.75)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (plus_infty, -6.75));
check_isnan_exc ("real(csin(+Inf - i 6.75)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(+Inf - i6.75)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (minus_infty, 6.75));
check_isnan_exc ("real(csin(-Inf + i6.75)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(-Inf + i6.75)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (minus_infty, -6.75));
check_isnan_exc ("real(csin(-Inf - i6.75)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(-Inf - i6.75)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (4.625, plus_infty));
check_isinfn ("real(csin(4.625 + i Inf)) = -Inf", __real__ result);
check_isinfn ("imag(csin(4.625 + i Inf)) = -Inf", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (4.625, minus_infty));
check_isinfn ("real(csin(4.625 - i Inf)) = -Inf", __real__ result);
check_isinfp ("imag(csin(4.625 - i Inf)) = +Inf", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (-4.625, plus_infty));
check_isinfp ("real(csin(-4.625 + i Inf)) = +Inf", __real__ result);
check_isinfn ("imag(csin(-4.625 + i Inf)) = -Inf", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (-4.625, minus_infty));
check_isinfp ("real(csin(-4.625 - i Inf)) = +Inf", __real__ result);
check_isinfp ("imag(csin(-4.625 - i Inf)) = +Inf", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (nan_value, 0.0));
check_isnan ("real(csin(NaN + i0)) = NaN", __real__ result);
check ("imag(csin(NaN + i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(csin) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(csin(NaN - i0)) = NaN", __real__ result);
check ("imag(csin(NaN - i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(csin) (BUILD_COMPLEX (nan_value, plus_infty));
check_isnan ("real(csin(NaN + i Inf)) = NaN", __real__ result);
check_isinfp ("imag(csin(NaN + i Inf)) = +-Inf",
FUNC(fabs) (__imag__ result));
result = FUNC(csin) (BUILD_COMPLEX (nan_value, minus_infty));
check_isnan ("real(csin(NaN - i Inf)) = NaN", __real__ result);
check_isinfp ("real(csin(NaN - i Inf)) = +-Inf",
FUNC(fabs) (__imag__ result));
result = FUNC(csin) (BUILD_COMPLEX (nan_value, 9.0));
check_isnan_maybe_exc ("real(csin(NaN + i9.0)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(NaN + i9.0)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (nan_value, -9.0));
check_isnan_maybe_exc ("real(csin(NaN - i9.0)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(NaN - i9.0)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (0.0, nan_value));
check ("real(csin(0 + i NaN))", __real__ result, 0.0);
check_isnan ("imag(csin(0 + i NaN)) = NaN", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (minus_zero, nan_value));
check ("real(csin(-0 + i NaN)) = -0", __real__ result, minus_zero);
check_isnan ("imag(csin(-0 + NaN)) = NaN", __imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (10.0, nan_value));
check_isnan_maybe_exc ("real(csin(10 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(10 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (nan_value, -10.0));
check_isnan_maybe_exc ("real(csin(-10 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(-10 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (plus_infty, nan_value));
check_isnan_maybe_exc ("real(csin(+Inf + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(+Inf + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (minus_infty, nan_value));
check_isnan_maybe_exc ("real(csin(-Inf + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csin(-Inf + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csin) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(csin(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(csin(NaN + i NaN)) = NaN", __imag__ result);
}
static void
csinh_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(csinh) (BUILD_COMPLEX (0.0, 0.0));
check ("real(csinh(0 + 0i)) = 0", __real__ result, 0);
check ("imag(csinh(0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(csinh) (BUILD_COMPLEX (minus_zero, 0.0));
check ("real(csinh(-0 + 0i)) = -0", __real__ result, minus_zero);
check ("imag(csinh(-0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(csinh) (BUILD_COMPLEX (0.0, minus_zero));
check ("real(csinh(0 - 0i)) = 0", __real__ result, 0);
check ("imag(csinh(0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(csinh) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(csinh(-0 - 0i)) = -0", __real__ result, minus_zero);
check ("imag(csinh(-0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(csinh) (BUILD_COMPLEX (0.0, plus_infty));
check_exc ("real(csinh(0 + i Inf)) = +-0 plus invalid exception",
FUNC(fabs) (__real__ result), 0, INVALID_EXCEPTION);
check_isnan ("imag(csinh(0 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_zero, plus_infty));
check_exc ("real(csinh(-0 + i Inf)) = +-0 plus invalid exception",
FUNC(fabs) (__real__ result), 0, INVALID_EXCEPTION);
check_isnan ("imag(csinh(-0 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (0.0, minus_infty));
check_exc ("real(csinh(0 - i Inf)) = +-0 plus invalid exception",
FUNC(fabs) (__real__ result), 0, INVALID_EXCEPTION);
check_isnan ("imag(csinh(0 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_zero, minus_infty));
check_exc ("real(csinh(-0 - i Inf)) = +-0 plus invalid exception",
FUNC(fabs) (__real__ result), 0, INVALID_EXCEPTION);
check_isnan ("imag(csinh(-0 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (plus_infty, 0.0));
check_isinfp ("real(csinh(+Inf + 0i)) = +Inf", __real__ result);
check ("imag(csinh(+Inf + 0i)) = 0", __imag__ result, 0);
result = FUNC(csinh) (BUILD_COMPLEX (minus_infty, 0.0));
check_isinfn ("real(csinh(-Inf + 0i)) = -Inf", __real__ result);
check ("imag(csinh(-Inf + 0i)) = 0", __imag__ result, 0);
result = FUNC(csinh) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isinfp ("real(csinh(+Inf - 0i)) = +Inf", __real__ result);
check ("imag(csinh(+Inf - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(csinh) (BUILD_COMPLEX (minus_infty, minus_zero));
check_isinfn ("real(csinh(-Inf - 0i)) = -Inf", __real__ result);
check ("imag(csinh(-Inf - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(csinh) (BUILD_COMPLEX (plus_infty, plus_infty));
check_isinfp_exc ("real(csinh(+Inf + i Inf)) = +-Inf plus invalid exception",
FUNC(fabs) (__real__ result), INVALID_EXCEPTION);
check_isnan ("imag(csinh(+Inf + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_infty, plus_infty));
check_isinfp_exc ("real(csinh(-Inf + i Inf)) = +-Inf plus invalid exception",
FUNC(fabs) (__real__ result), INVALID_EXCEPTION);
check_isnan ("imag(csinh(-Inf + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (plus_infty, minus_infty));
check_isinfp_exc ("real(csinh(Inf - i Inf)) = +-Inf plus invalid exception",
FUNC(fabs) (__real__ result), INVALID_EXCEPTION);
check_isnan ("imag(csinh(Inf - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_infty, minus_infty));
check_isinfp_exc ("real(csinh(-Inf - i Inf)) = +-Inf plus invalid exception",
FUNC(fabs) (__real__ result), INVALID_EXCEPTION);
check_isnan ("imag(csinh(-Inf - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (plus_infty, 4.625));
check_isinfn ("real(csinh(+Inf + i4.625)) = -Inf", __real__ result);
check_isinfn ("imag(csinh(+Inf + i4.625)) = -Inf", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_infty, 4.625));
check_isinfp ("real(csinh(-Inf + i4.625)) = +Inf", __real__ result);
check_isinfn ("imag(csinh(-Inf + i4.625)) = -Inf", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (plus_infty, -4.625));
check_isinfn ("real(csinh(+Inf - i4.625)) = -Inf", __real__ result);
check_isinfp ("imag(csinh(+Inf - i4.625)) = +Inf", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_infty, -4.625));
check_isinfp ("real(csinh(-Inf - i4.625)) = +Inf", __real__ result);
check_isinfp ("imag(csinh(-Inf - i4.625)) = +Inf", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (6.75, plus_infty));
check_isnan_exc ("real(csinh(6.75 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(6.75 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (-6.75, plus_infty));
check_isnan_exc ("real(csinh(-6.75 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(-6.75 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (6.75, minus_infty));
check_isnan_exc ("real(csinh(6.75 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(6.75 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (-6.75, minus_infty));
check_isnan_exc ("real(csinh(-6.75 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(-6.75 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (0.0, nan_value));
check ("real(csinh(0 + i NaN)) = +-0", FUNC(fabs) (__real__ result), 0);
check_isnan ("imag(csinh(0 + i NaN)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_zero, nan_value));
check ("real(csinh(-0 + i NaN)) = +-0", FUNC(fabs) (__real__ result), 0);
check_isnan ("imag(csinh(-0 + i NaN)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (plus_infty, nan_value));
check_isinfp ("real(csinh(+Inf + i NaN)) = +-Inf",
FUNC(fabs) (__real__ result));
check_isnan ("imag(csinh(+Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (minus_infty, nan_value));
check_isinfp ("real(csinh(-Inf + i NaN)) = +-Inf",
FUNC(fabs) (__real__ result));
check_isnan ("imag(csinh(-Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (9.0, nan_value));
check_isnan_maybe_exc ("real(csinh(9.0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(9.0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (-9.0, nan_value));
check_isnan_maybe_exc ("real(csinh(-9.0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(-9.0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, 0.0));
check_isnan ("real(csinh(NaN + i0)) = NaN", __real__ result);
check ("imag(csinh(NaN + i0)) = 0", __imag__ result, 0.0);
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(csinh(NaN - i0)) = NaN", __real__ result);
check ("imag(csinh(NaN - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, 10.0));
check_isnan_maybe_exc ("real(csinh(NaN + i10)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(NaN + i10)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, -10.0));
check_isnan_maybe_exc ("real(csinh(NaN - i10)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(NaN - i10)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, plus_infty));
check_isnan_maybe_exc ("real(csinh(NaN + i Inf)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(NaN + i Inf)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, minus_infty));
check_isnan_maybe_exc ("real(csinh(NaN - i Inf)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csinh(NaN - i Inf)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csinh) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(csinh(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(csinh(NaN + i NaN)) = NaN", __imag__ result);
}
static void
ccos_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(ccos) (BUILD_COMPLEX (0.0, 0.0));
check ("real(ccos(0 + 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccos(0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, 0.0));
check ("real(ccos(-0 + 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccos(-0 + 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(ccos) (BUILD_COMPLEX (0.0, minus_zero));
check ("real(ccos(0 - 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccos(0 - 0i)) = 0", __imag__ result, 0.0);
result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(ccos(-0 - 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccos(-0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, 0.0));
check_isnan_exc ("real(ccos(+Inf + i0)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(ccos(Inf + i0)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isnan_exc ("real(ccos(Inf - i0)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(ccos(Inf - i0)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, 0.0));
check_isnan_exc ("real(ccos(-Inf + i0)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(ccos(-Inf + i0)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, minus_zero));
check_isnan_exc ("real(ccos(-Inf - i0)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(ccos(-Inf - i0)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccos) (BUILD_COMPLEX (0.0, plus_infty));
check_isinfp ("real(ccos(0 + i Inf)) = +Inf", __real__ result);
check ("imag(ccos(0 + i Inf)) = 0", __imag__ result, 0);
result = FUNC(ccos) (BUILD_COMPLEX (0.0, minus_infty));
check_isinfp ("real(ccos(0 - i Inf)) = +Inf", __real__ result);
check ("imag(ccos(0 - i Inf)) = 0", __imag__ result, 0);
result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, plus_infty));
check_isinfp ("real(ccos(-0 + i Inf)) = +Inf", __real__ result);
check ("imag(ccos(-0 + i Inf)) = -0", __imag__ result, minus_zero);
result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, minus_infty));
check_isinfp ("real(ccos(-0 - i Inf)) = +Inf", __real__ result);
check ("imag(ccos(-0 - i Inf)) = -0", __imag__ result, minus_zero);
result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, plus_infty));
check_isinfp_exc ("real(ccos(+Inf + i Inf)) = +Inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(+Inf + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, plus_infty));
check_isinfp_exc ("real(ccos(-Inf + i Inf)) = +Inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(-Inf + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, minus_infty));
check_isinfp_exc ("real(ccos(Inf - i Inf)) = +Inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(Inf - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, minus_infty));
check_isinfp_exc ("real(ccos(-Inf - i Inf)) = +Inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(-Inf - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (4.625, plus_infty));
check_isinfn ("real(ccos(4.625 + i Inf)) = -Inf", __real__ result);
check_isinfn ("imag(ccos(4.625 + i Inf)) = -Inf", __imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (4.625, minus_infty));
check_isinfn ("real(ccos(4.625 - i Inf)) = -Inf", __real__ result);
check_isinfn ("imag(ccos(4.625 - i Inf)) = -Inf", __imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (-4.625, plus_infty));
check_isinfn ("real(ccos(-4.625 + i Inf)) = -Inf", __real__ result);
check_isinfp ("imag(ccos(-4.625 + i Inf)) = +Inf", __imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (-4.625, minus_infty));
check_isinfn ("real(ccos(-4.625 - i Inf)) = -Inf", __real__ result);
check_isinfp ("imag(ccos(-4.625 - i Inf)) = +Inf", __imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, 6.75));
check_isnan_exc ("real(ccos(+Inf + i6.75)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(+Inf + i6.75)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, -6.75));
check_isnan_exc ("real(ccos(+Inf - i6.75)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(+Inf - i6.75)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, 6.75));
check_isnan_exc ("real(ccos(-Inf + i6.75)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(-Inf + i6.75)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, -6.75));
check_isnan_exc ("real(ccos(-Inf - i6.75)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(-Inf - i6.75)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (nan_value, 0.0));
check_isnan ("real(ccos(NaN + i0)) = NaN", __real__ result);
check ("imag(ccos(NaN + i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccos) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(ccos(NaN - i0)) = NaN", __real__ result);
check ("imag(ccos(NaN - i0)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccos) (BUILD_COMPLEX (nan_value, plus_infty));
check_isinfp ("real(ccos(NaN + i Inf)) = +Inf", __real__ result);
check_isnan ("imag(ccos(NaN + i Inf)) = NaN", __imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (nan_value, minus_infty));
check_isinfp ("real(ccos(NaN - i Inf)) = +Inf", __real__ result);
check_isnan ("imag(ccos(NaN - i Inf)) = NaN", __imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (nan_value, 9.0));
check_isnan_maybe_exc ("real(ccos(NaN + i9.0)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(NaN + i9.0)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (nan_value, -9.0));
check_isnan_maybe_exc ("real(ccos(NaN - i9.0)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(NaN - i9.0)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (0.0, nan_value));
check_isnan ("real(ccos(0 + i NaN)) = NaN", __real__ result);
check ("imag(ccos(0 + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0.0);
result = FUNC(ccos) (BUILD_COMPLEX (minus_zero, nan_value));
check_isnan ("real(ccos(-0 + i NaN)) = NaN", __real__ result);
check ("imag(ccos(-0 + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0.0);
result = FUNC(ccos) (BUILD_COMPLEX (10.0, nan_value));
check_isnan_maybe_exc ("real(ccos(10 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(10 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (-10.0, nan_value));
check_isnan_maybe_exc ("real(ccos(-10 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(-10 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (plus_infty, nan_value));
check_isnan_maybe_exc ("real(ccos(+Inf + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(+Inf + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (minus_infty, nan_value));
check_isnan_maybe_exc ("real(ccos(-Inf + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccos(-Inf + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccos) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(ccos(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(ccos(NaN + i NaN)) = NaN", __imag__ result);
}
static void
ccosh_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(ccosh) (BUILD_COMPLEX (0.0, 0.0));
check ("real(ccosh(0 + 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccosh(0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_zero, 0.0));
check ("real(ccosh(-0 + 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccosh(-0 + 0i)) = 0", __imag__ result, 0);
result = FUNC(ccosh) (BUILD_COMPLEX (0.0, minus_zero));
check ("real(ccosh(0 - 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccosh(0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(ccosh(-0 - 0i)) = 1.0", __real__ result, 1.0);
check ("imag(ccosh(-0 - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(ccosh) (BUILD_COMPLEX (0.0, plus_infty));
check_isnan_exc ("real(ccosh(0 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(ccosh(0 + i Inf)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_zero, plus_infty));
check_isnan_exc ("real(ccosh(-0 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(ccosh(-0 + i Inf)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (0.0, minus_infty));
check_isnan_exc ("real(ccosh(0 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(ccosh(0 - i Inf)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_zero, minus_infty));
check_isnan_exc ("real(ccosh(-0 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check ("imag(ccosh(-0 - i Inf)) = +-0 plus invalid exception",
FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (plus_infty, 0.0));
check_isinfp ("real(ccosh(+Inf + 0i)) = +Inf", __real__ result);
check ("imag(ccosh(+Inf + 0i)) = 0", __imag__ result, 0);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_infty, 0.0));
check_isinfp ("real(ccosh(-Inf + 0i)) = +Inf", __real__ result);
check ("imag(ccosh(-Inf + 0i)) = 0", __imag__ result, 0);
result = FUNC(ccosh) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isinfp ("real(ccosh(+Inf - 0i)) = +Inf", __real__ result);
check ("imag(ccosh(+Inf - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_infty, minus_zero));
check_isinfp ("real(ccosh(-Inf - 0i)) = +Inf", __real__ result);
check ("imag(ccosh(-Inf - 0i)) = -0", __imag__ result, minus_zero);
result = FUNC(ccosh) (BUILD_COMPLEX (plus_infty, plus_infty));
check_isinfp_exc ("real(ccosh(+Inf + i Inf)) = +Inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(+Inf + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_infty, plus_infty));
check_isinfp_exc ("real(ccosh(-Inf + i Inf)) = +Inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(-Inf + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (plus_infty, minus_infty));
check_isinfp_exc ("real(ccosh(Inf - i Inf)) = +Inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(Inf - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_infty, minus_infty));
check_isinfp_exc ("real(ccosh(-Inf - i Inf)) = +Inf plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(-Inf - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (plus_infty, 4.625));
check_isinfn ("real(ccosh(+Inf + i4.625)) = -Inf", __real__ result);
check_isinfn ("imag(ccosh(+Inf + i4.625)) = -Inf", __imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_infty, 4.625));
check_isinfn ("real(ccosh(-Inf + i4.625)) = -Inf", __real__ result);
check_isinfn ("imag(ccosh(-Inf + i4.625)) = -Inf", __imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (plus_infty, -4.625));
check_isinfn ("real(ccosh(+Inf - i4.625)) = -Inf", __real__ result);
check_isinfp ("imag(ccosh(+Inf - i4.625)) = +Inf", __imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_infty, -4.625));
check_isinfn ("real(ccosh(-Inf - i4.625)) = -Inf", __real__ result);
check_isinfp ("imag(ccosh(-Inf - i4.625)) = +Inf", __imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (6.75, plus_infty));
check_isnan_exc ("real(ccosh(6.75 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(6.75 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (-6.75, plus_infty));
check_isnan_exc ("real(ccosh(-6.75 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(-6.75 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (6.75, minus_infty));
check_isnan_exc ("real(ccosh(6.75 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(6.75 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (-6.75, minus_infty));
check_isnan_exc ("real(ccosh(-6.75 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(-6.75 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (0.0, nan_value));
check_isnan ("real(ccosh(0 + i NaN)) = NaN", __real__ result);
check ("imag(ccosh(0 + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_zero, nan_value));
check_isnan ("real(ccosh(-0 + i NaN)) = NaN", __real__ result);
check ("imag(ccosh(-0 + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ccosh) (BUILD_COMPLEX (plus_infty, nan_value));
check_isinfp ("real(ccosh(+Inf + i NaN)) = +Inf", __real__ result);
check_isnan ("imag(ccosh(+Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (minus_infty, nan_value));
check_isinfp ("real(ccosh(-Inf + i NaN)) = +Inf", __real__ result);
check_isnan ("imag(ccosh(-Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (9.0, nan_value));
check_isnan_maybe_exc ("real(ccosh(9.0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(9.0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (-9.0, nan_value));
check_isnan_maybe_exc ("real(ccosh(-9.0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(-9.0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, 0.0));
check_isnan ("real(ccosh(NaN + i0)) = NaN", __real__ result);
check ("imag(ccosh(NaN + i0)) = +-0", FUNC(fabs) (__imag__ result), 0.0);
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(ccosh(NaN - i0)) = NaN", __real__ result);
check ("imag(ccosh(NaN - i0)) = +-0", FUNC(fabs) (__imag__ result), 0.0);
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, 10.0));
check_isnan_maybe_exc ("real(ccosh(NaN + i10)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(NaN + i10)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, -10.0));
check_isnan_maybe_exc ("real(ccosh(NaN - i10)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(NaN - i10)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, plus_infty));
check_isnan_maybe_exc ("real(ccosh(NaN + i Inf)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(NaN + i Inf)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, minus_infty));
check_isnan_maybe_exc ("real(ccosh(NaN - i Inf)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ccosh(NaN - i Inf)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ccosh) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(ccosh(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(ccosh(NaN + i NaN)) = NaN", __imag__ result);
}
static void
cacos_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(cacos) (BUILD_COMPLEX (0, 0));
check ("real(cacos(0 + i0)) = pi/2", __real__ result, M_PI_2);
check ("imag(cacos(0 + i0)) = -0", __imag__ result, minus_zero);
result = FUNC(cacos) (BUILD_COMPLEX (minus_zero, 0));
check ("real(cacos(-0 + i0)) = pi/2", __real__ result, M_PI_2);
check ("imag(cacos(-0 + i0)) = -0", __imag__ result, minus_zero);
result = FUNC(cacos) (BUILD_COMPLEX (0, minus_zero));
check ("real(cacos(0 - i0)) = pi/2", __real__ result, M_PI_2);
check ("imag(cacos(0 - i0)) = 0", __imag__ result, 0);
result = FUNC(cacos) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(cacos(-0 - i0)) = pi/2", __real__ result, M_PI_2);
check ("imag(cacos(-0 - i0)) = 0", __imag__ result, 0);
result = FUNC(cacos) (BUILD_COMPLEX (minus_infty, plus_infty));
check ("real(cacos(-Inf + i Inf)) = 3*pi/4", __real__ result, M_PI - M_PI_4);
check_isinfn ("imag(cacos(-Inf + i Inf)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (minus_infty, minus_infty));
check ("real(cacos(-Inf - i Inf)) = 3*pi/4", __real__ result, M_PI - M_PI_4);
check_isinfp ("imag(cacos(-Inf - i Inf)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (plus_infty, plus_infty));
check ("real(cacos(+Inf + i Inf)) = pi/4", __real__ result, M_PI_4);
check_isinfn ("imag(cacos(+Inf + i Inf)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (plus_infty, minus_infty));
check ("real(cacos(+Inf - i Inf)) = pi/4", __real__ result, M_PI_4);
check_isinfp ("imag(cacos(+Inf - i Inf)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (-10.0, plus_infty));
check ("real(cacos(-10.0 + i Inf)) = pi/2", __real__ result, M_PI_2);
check_isinfn ("imag(cacos(-10.0 + i Inf)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (-10.0, minus_infty));
check ("real(cacos(-10.0 - i Inf)) = pi/2", __real__ result, M_PI_2);
check_isinfp ("imag(cacos(-10.0 - i Inf)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (0, plus_infty));
check ("real(cacos(0 + i Inf)) = pi/2", __real__ result, M_PI_2);
check_isinfn ("imag(cacos(0 + i Inf)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (0, minus_infty));
check ("real(cacos(0 - i Inf)) = pi/2", __real__ result, M_PI_2);
check_isinfp ("imag(cacos(0 - i Inf)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (0.1, plus_infty));
check ("real(cacos(0.1 + i Inf)) = pi/2", __real__ result, M_PI_2);
check_isinfn ("imag(cacos(0.1 + i Inf)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (0.1, minus_infty));
check ("real(cacos(0.1 - i Inf)) = pi/2", __real__ result, M_PI_2);
check_isinfp ("imag(cacos(0.1 - i Inf)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (minus_infty, 0));
check ("real(cacos(-Inf + i0)) = pi", __real__ result, M_PI);
check_isinfn ("imag(cacos(-Inf + i0)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (minus_infty, minus_zero));
check ("real(cacos(-Inf - i0)) = pi", __real__ result, M_PI);
check_isinfp ("imag(cacos(-Inf - i0)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (minus_infty, 100));
check ("real(cacos(-Inf + i100)) = pi", __real__ result, M_PI);
check_isinfn ("imag(cacos(-Inf + i100)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (minus_infty, -100));
check ("real(cacos(-Inf - i100)) = pi", __real__ result, M_PI);
check_isinfp ("imag(cacos(-Inf - i100)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (plus_infty, 0));
check ("real(cacos(+Inf + i0)) = 0", __real__ result, 0);
check_isinfn ("imag(cacos(+Inf + i0)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (plus_infty, minus_zero));
check ("real(cacos(+Inf - i0)) = 0", __real__ result, 0);
check_isinfp ("imag(cacos(+Inf - i0)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (plus_infty, 0.5));
check ("real(cacos(+Inf + i0.5)) = 0", __real__ result, 0);
check_isinfn ("imag(cacos(+Inf + i0.5)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (plus_infty, -0.5));
check ("real(cacos(+Inf - i0.5)) = 0", __real__ result, 0);
check_isinfp ("imag(cacos(+Inf - i0.5)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (plus_infty, nan_value));
check_isnan ("real(cacos(+Inf + i NaN)) = NaN", __real__ result);
check_isinfp ("imag(cacos(+Inf + i NaN)) = +-Inf",
FUNC(fabs) (__imag__ result));
result = FUNC(cacos) (BUILD_COMPLEX (minus_infty, nan_value));
check_isnan ("real(cacos(-Inf + i NaN)) = NaN", __real__ result);
check_isinfp ("imag(cacos(-Inf + i NaN)) = +-Inf",
FUNC(fabs) (__imag__ result));
result = FUNC(cacos) (BUILD_COMPLEX (0, nan_value));
check ("real(cacos(0 + i NaN)) = pi/2", __real__ result, M_PI_2);
check_isnan ("imag(cacos(0 + i NaN)) = NaN", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (minus_zero, nan_value));
check ("real(cacos(-0 + i NaN)) = pi/2", __real__ result, M_PI_2);
check_isnan ("imag(cacos(-0 + i NaN)) = NaN", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (nan_value, plus_infty));
check_isnan ("real(cacos(NaN + i Inf)) = NaN", __real__ result);
check_isinfn ("imag(cacos(NaN + i Inf)) = -Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (nan_value, minus_infty));
check_isnan ("real(cacos(NaN - i Inf)) = NaN", __real__ result);
check_isinfp ("imag(cacos(NaN - i Inf)) = +Inf", __imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (10.5, nan_value));
check_isnan_maybe_exc ("real(cacos(10.5 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cacos(10.5 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (-10.5, nan_value));
check_isnan_maybe_exc ("real(cacos(-10.5 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cacos(-10.5 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (nan_value, 0.75));
check_isnan_maybe_exc ("real(cacos(NaN + i0.75)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cacos(NaN + i0.75)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (-10.5, nan_value));
check_isnan_maybe_exc ("real(cacos(NaN - i0.75)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cacos(NaN - i0.75)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cacos) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(cacos(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(cacos(NaN + i NaN)) = NaN", __imag__ result);
}
static void
cacosh_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(cacosh) (BUILD_COMPLEX (0, 0));
check ("real(cacosh(0 + i0)) = 0", __real__ result, 0);
check ("imag(cacosh(0 + i0)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_zero, 0));
check ("real(cacosh(-0 + i0)) = 0", __real__ result, 0);
check ("imag(cacosh(-0 + i0)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (0, minus_zero));
check ("real(cacosh(0 - i0)) = 0", __real__ result, 0);
check ("imag(cacosh(0 - i0)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(cacosh(-0 - i0)) = 0", __real__ result, 0);
check ("imag(cacosh(-0 - i0)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_infty, plus_infty));
check_isinfp ("real(cacosh(-Inf + i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(-Inf + i Inf)) = 3*pi/4", __imag__ result,
M_PI - M_PI_4);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_infty, minus_infty));
check_isinfp ("real(cacosh(-Inf - i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(-Inf - i Inf)) = -3*pi/4", __imag__ result,
M_PI_4 - M_PI);
result = FUNC(cacosh) (BUILD_COMPLEX (plus_infty, plus_infty));
check_isinfp ("real(cacosh(+Inf + i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(+Inf + i Inf)) = pi/4", __imag__ result, M_PI_4);
result = FUNC(cacosh) (BUILD_COMPLEX (plus_infty, minus_infty));
check_isinfp ("real(cacosh(+Inf - i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(+Inf - i Inf)) = -pi/4", __imag__ result, -M_PI_4);
result = FUNC(cacosh) (BUILD_COMPLEX (-10.0, plus_infty));
check_isinfp ("real(cacosh(-10.0 + i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(-10.0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (-10.0, minus_infty));
check_isinfp ("real(cacosh(-10.0 - i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(-10.0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (0, plus_infty));
check_isinfp ("real(cacosh(0 + i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (0, minus_infty));
check_isinfp ("real(cacosh(0 - i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (0.1, plus_infty));
check_isinfp ("real(cacosh(0.1 + i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(0.1 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (0.1, minus_infty));
check_isinfp ("real(cacosh(0.1 - i Inf)) = +Inf", __real__ result);
check ("imag(cacosh(0.1 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_infty, 0));
check_isinfp ("real(cacosh(-Inf + i0)) = +Inf", __real__ result);
check ("imag(cacosh(-Inf + i0)) = pi", __imag__ result, M_PI);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_infty, minus_zero));
check_isinfp ("real(cacosh(-Inf - i0)) = +Inf", __real__ result);
check ("imag(cacosh(-Inf - i0)) = -pi", __imag__ result, -M_PI);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_infty, 100));
check_isinfp ("real(cacosh(-Inf + i100)) = +Inf", __real__ result);
check ("imag(cacosh(-Inf + i100)) = pi", __imag__ result, M_PI);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_infty, -100));
check_isinfp ("real(cacosh(-Inf - i100)) = +Inf", __real__ result);
check ("imag(cacosh(-Inf - i100)) = -pi", __imag__ result, -M_PI);
result = FUNC(cacosh) (BUILD_COMPLEX (plus_infty, 0));
check_isinfp ("real(cacosh(+Inf + i0)) = +Inf", __real__ result);
check ("imag(cacosh(+Inf + i0)) = 0", __imag__ result, 0);
result = FUNC(cacosh) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isinfp ("real(cacosh(+Inf - i0)) = +Inf", __real__ result);
check ("imag(cacosh(+Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(cacosh) (BUILD_COMPLEX (plus_infty, 0.5));
check_isinfp ("real(cacosh(+Inf + i0.5)) = +Inf", __real__ result);
check ("imag(cacosh(+Inf + i0.5)) = 0", __imag__ result, 0);
result = FUNC(cacosh) (BUILD_COMPLEX (plus_infty, -0.5));
check_isinfp ("real(cacosh(+Inf - i0.5)) = +Inf", __real__ result);
check ("imag(cacosh(+Inf - i0.5)) = -0", __imag__ result, minus_zero);
result = FUNC(cacosh) (BUILD_COMPLEX (plus_infty, nan_value));
check_isinfp ("real(cacosh(+Inf + i NaN)) = +Inf", __real__ result);
check_isnan ("imag(cacosh(+Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_infty, nan_value));
check_isinfp ("real(cacosh(-Inf + i NaN)) = +Inf", __real__ result);
check_isnan ("imag(cacosh(-Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (0, nan_value));
check_isnan ("real(cacosh(0 + i NaN)) = NaN", __real__ result);
check_isnan ("imag(cacosh(0 + i NaN)) = NaN", __imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (minus_zero, nan_value));
check_isnan ("real(cacosh(-0 + i NaN)) = NaN", __real__ result);
check_isnan ("imag(cacosh(-0 + i NaN)) = NaN", __imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (nan_value, plus_infty));
check_isinfp ("real(cacosh(NaN + i Inf)) = +Inf", __real__ result);
check_isnan ("imag(cacosh(NaN + i Inf)) = NaN", __imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (nan_value, minus_infty));
check_isinfp ("real(cacosh(NaN - i Inf)) = +Inf", __real__ result);
check_isnan ("imag(cacosh(NaN - i Inf)) = NaN", __imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (10.5, nan_value));
check_isnan_maybe_exc ("real(cacosh(10.5 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cacosh(10.5 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (-10.5, nan_value));
check_isnan_maybe_exc ("real(cacosh(-10.5 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cacosh(-10.5 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (nan_value, 0.75));
check_isnan_maybe_exc ("real(cacosh(NaN + i0.75)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cacosh(NaN + i0.75)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (-10.5, nan_value));
check_isnan_maybe_exc ("real(cacosh(NaN - i0.75)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(cacosh(NaN - i0.75)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(cacosh) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(cacosh(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(cacosh(NaN + i NaN)) = NaN", __imag__ result);
}
static void
casin_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(casin) (BUILD_COMPLEX (0, 0));
check ("real(casin(0 + i0)) = 0", __real__ result, 0);
check ("imag(casin(0 + i0)) = 0", __imag__ result, 0);
result = FUNC(casin) (BUILD_COMPLEX (minus_zero, 0));
check ("real(casin(-0 + i0)) = -0", __real__ result, minus_zero);
check ("imag(casin(-0 + i0)) = 0", __imag__ result, 0);
result = FUNC(casin) (BUILD_COMPLEX (0, minus_zero));
check ("real(casin(0 - i0)) = 0", __real__ result, 0);
check ("imag(casin(0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(casin) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(casin(-0 - i0)) = -0", __real__ result, minus_zero);
check ("imag(casin(-0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(casin) (BUILD_COMPLEX (plus_infty, plus_infty));
check ("real(casin(+Inf + i Inf)) = pi/4", __real__ result, M_PI_4);
check_isinfp ("imag(casin(+Inf + i Inf)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (plus_infty, minus_infty));
check ("real(casin(+Inf - i Inf)) = pi/4", __real__ result, M_PI_4);
check_isinfn ("imag(casin(+Inf - i Inf)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (minus_infty, plus_infty));
check ("real(casin(-Inf + i Inf)) = -pi/4", __real__ result, -M_PI_4);
check_isinfp ("imag(casin(-Inf + i Inf)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (minus_infty, minus_infty));
check ("real(casin(-Inf - i Inf)) = -pi/4", __real__ result, -M_PI_4);
check_isinfn ("imag(casin(-Inf - i Inf)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (-10.0, plus_infty));
check ("real(casin(-10.0 + i Inf)) = -0", __real__ result, minus_zero);
check_isinfp ("imag(casin(-10.0 + i Inf)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (-10.0, minus_infty));
check ("real(casin(-10.0 - i Inf)) = -0", __real__ result, minus_zero);
check_isinfn ("imag(casin(-10.0 - i Inf)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (0, plus_infty));
check ("real(casin(0 + i Inf)) = 0", __real__ result, 0.0);
check_isinfp ("imag(casin(0 + i Inf)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (0, minus_infty));
check ("real(casin(0 - i Inf)) = 0", __real__ result, 0.0);
check_isinfn ("imag(casin(0 - i Inf)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (minus_zero, plus_infty));
check ("real(casin(-0 + i Inf)) = -0", __real__ result, minus_zero);
check_isinfp ("imag(casin(-0 + i Inf)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (minus_zero, minus_infty));
check ("real(casin(-0 - i Inf)) = -0", __real__ result, minus_zero);
check_isinfn ("imag(casin(-0 - i Inf)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (0.1, plus_infty));
check ("real(casin(0.1 + i Inf)) = 0", __real__ result, 0);
check_isinfp ("imag(casin(0.1 + i Inf)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (0.1, minus_infty));
check ("real(casin(0.1 - i Inf)) = 0", __real__ result, 0);
check_isinfn ("imag(casin(0.1 - i Inf)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (minus_infty, 0));
check ("real(casin(-Inf + i0)) = -pi/2", __real__ result, -M_PI_2);
check_isinfp ("imag(casin(-Inf + i0)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (minus_infty, minus_zero));
check ("real(casin(-Inf - i0)) = -pi/2", __real__ result, -M_PI_2);
check_isinfn ("imag(casin(-Inf - i0)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (minus_infty, 100));
check ("real(casin(-Inf + i100)) = -pi/2", __real__ result, -M_PI_2);
check_isinfp ("imag(casin(-Inf + i100)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (minus_infty, -100));
check ("real(casin(-Inf - i100)) = -pi/2", __real__ result, -M_PI_2);
check_isinfn ("imag(casin(-Inf - i100)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (plus_infty, 0));
check ("real(casin(+Inf + i0)) = pi/2", __real__ result, M_PI_2);
check_isinfp ("imag(casin(+Inf + i0)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (plus_infty, minus_zero));
check ("real(casin(+Inf - i0)) = pi/2", __real__ result, M_PI_2);
check_isinfn ("imag(casin(+Inf - i0)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (plus_infty, 0.5));
check ("real(casin(+Inf + i0.5)) = pi/2", __real__ result, M_PI_2);
check_isinfp ("imag(casin(+Inf + i0.5)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (plus_infty, -0.5));
check ("real(casin(+Inf - i0.5)) = pi/2", __real__ result, M_PI_2);
check_isinfn ("imag(casin(+Inf - i0.5)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (nan_value, plus_infty));
check_isnan ("real(casin(NaN + i Inf)) = NaN", __real__ result);
check_isinfp ("imag(casin(NaN + i Inf)) = +Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (nan_value, minus_infty));
check_isnan ("real(casin(NaN - i Inf)) = NaN", __real__ result);
check_isinfn ("imag(casin(NaN - i Inf)) = -Inf", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (0.0, nan_value));
check ("real(casin(0 + i NaN)) = 0", __real__ result, 0.0);
check_isnan ("imag(casin(0 + i NaN)) = NaN", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (minus_zero, nan_value));
check ("real(casin(-0 + i NaN)) = -0", __real__ result, minus_zero);
check_isnan ("imag(casin(-0 + i NaN)) = NaN", __imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (plus_infty, nan_value));
check_isnan ("real(casin(+Inf + i NaN)) = NaN", __real__ result);
check_isinfp ("imag(casin(+Inf + i NaN)) = +-Inf",
FUNC(fabs) (__imag__ result));
result = FUNC(casin) (BUILD_COMPLEX (minus_infty, nan_value));
check_isnan ("real(casin(-Inf + i NaN)) = NaN", __real__ result);
check_isinfp ("imag(casin(-Inf + NaN)) = +-Inf",
FUNC(fabs) (__imag__ result));
result = FUNC(casin) (BUILD_COMPLEX (nan_value, 10.5));
check_isnan_maybe_exc ("real(casin(NaN + i10.5)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(casin(NaN + i10.5)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (nan_value, -10.5));
check_isnan_maybe_exc ("real(casin(NaN - i10.5)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(casin(NaN - i10.5)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (0.75, nan_value));
check_isnan_maybe_exc ("real(casin(0.75 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(casin(0.75 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (-0.75, nan_value));
check_isnan_maybe_exc ("real(casin(-0.75 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(casin(-0.75 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(casin) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(casin(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(casin(NaN + i NaN)) = NaN", __imag__ result);
}
static void
casinh_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(casinh) (BUILD_COMPLEX (0, 0));
check ("real(casinh(0 + i0)) = 0", __real__ result, 0);
check ("imag(casinh(0 + i0)) = 0", __imag__ result, 0);
result = FUNC(casinh) (BUILD_COMPLEX (minus_zero, 0));
check ("real(casinh(-0 + i0)) = -0", __real__ result, minus_zero);
check ("imag(casinh(-0 + i0)) = 0", __imag__ result, 0);
result = FUNC(casinh) (BUILD_COMPLEX (0, minus_zero));
check ("real(casinh(0 - i0)) = 0", __real__ result, 0);
check ("imag(casinh(0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(casinh) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(casinh(-0 - i0)) = -0", __real__ result, minus_zero);
check ("imag(casinh(-0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(casinh) (BUILD_COMPLEX (plus_infty, plus_infty));
check_isinfp ("real(casinh(+Inf + i Inf)) = +Inf", __real__ result);
check ("imag(casinh(+Inf + i Inf)) = pi/4", __imag__ result, M_PI_4);
result = FUNC(casinh) (BUILD_COMPLEX (plus_infty, minus_infty));
check_isinfp ("real(casinh(+Inf - i Inf)) = +Inf", __real__ result);
check ("imag(casinh(+Inf - i Inf)) = -pi/4", __imag__ result, -M_PI_4);
result = FUNC(casinh) (BUILD_COMPLEX (minus_infty, plus_infty));
check_isinfn ("real(casinh(-Inf + i Inf)) = -Inf", __real__ result);
check ("imag(casinh(-Inf + i Inf)) = pi/4", __imag__ result, M_PI_4);
result = FUNC(casinh) (BUILD_COMPLEX (minus_infty, minus_infty));
check_isinfn ("real(casinh(-Inf - i Inf)) = -Inf", __real__ result);
check ("imag(casinh(-Inf - i Inf)) = -pi/4", __imag__ result, -M_PI_4);
result = FUNC(casinh) (BUILD_COMPLEX (-10.0, plus_infty));
check_isinfn ("real(casinh(-10.0 + i Inf)) = -Inf", __real__ result);
check ("imag(casinh(-10.0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(casinh) (BUILD_COMPLEX (-10.0, minus_infty));
check_isinfn ("real(casinh(-10.0 - i Inf)) = -Inf", __real__ result);
check ("imag(casinh(-10.0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(casinh) (BUILD_COMPLEX (0, plus_infty));
check_isinfp ("real(casinh(0 + i Inf)) = +Inf", __real__ result);
check ("imag(casinh(0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(casinh) (BUILD_COMPLEX (0, minus_infty));
check_isinfp ("real(casinh(0 - i Inf)) = +Inf", __real__ result);
check ("imag(casinh(0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(casinh) (BUILD_COMPLEX (minus_zero, plus_infty));
check_isinfn ("real(casinh(-0 + i Inf)) = -Inf", __real__ result);
check ("imag(casinh(-0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(casinh) (BUILD_COMPLEX (minus_zero, minus_infty));
check_isinfn ("real(casinh(-0 - i Inf)) = -Inf", __real__ result);
check ("imag(casinh(-0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(casinh) (BUILD_COMPLEX (0.1, plus_infty));
check_isinfp ("real(casinh(0.1 + i Inf)) = +Inf", __real__ result);
check ("imag(casinh(0.1 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(casinh) (BUILD_COMPLEX (0.1, minus_infty));
check_isinfp ("real(casinh(0.1 - i Inf)) = +Inf", __real__ result);
check ("imag(casinh(0.1 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(casinh) (BUILD_COMPLEX (minus_infty, 0));
check_isinfn ("real(casinh(-Inf + i0)) = -Inf", __real__ result);
check ("imag(casinh(-Inf + i0)) = 0", __imag__ result, 0);
result = FUNC(casinh) (BUILD_COMPLEX (minus_infty, minus_zero));
check_isinfn ("real(casinh(-Inf - i0)) = -Inf", __real__ result);
check ("imag(casinh(-Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(casinh) (BUILD_COMPLEX (minus_infty, 100));
check_isinfn ("real(casinh(-Inf + i100)) = -Inf", __real__ result);
check ("imag(casinh(-Inf + i100)) = 0", __imag__ result, 0);
result = FUNC(casinh) (BUILD_COMPLEX (minus_infty, -100));
check_isinfn ("real(casinh(-Inf - i100)) = -Inf", __real__ result);
check ("imag(casinh(-Inf - i100)) = -0", __imag__ result, minus_zero);
result = FUNC(casinh) (BUILD_COMPLEX (plus_infty, 0));
check_isinfp ("real(casinh(+Inf + i0)) = +Inf", __real__ result);
check ("imag(casinh(+Inf + i0)) = 0", __imag__ result, 0);
result = FUNC(casinh) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isinfp ("real(casinh(+Inf - i0)) = +Inf", __real__ result);
check ("imag(casinh(+Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(casinh) (BUILD_COMPLEX (plus_infty, 0.5));
check_isinfp ("real(casinh(+Inf + i0.5)) = +Inf", __real__ result);
check ("imag(casinh(+Inf + i0.5)) = 0", __imag__ result, 0);
result = FUNC(casinh) (BUILD_COMPLEX (plus_infty, -0.5));
check_isinfp ("real(casinh(+Inf - i0.5)) = +Inf", __real__ result);
check ("imag(casinh(+Inf - i0.5)) = -0", __imag__ result, minus_zero);
result = FUNC(casinh) (BUILD_COMPLEX (plus_infty, nan_value));
check_isinfp ("real(casinh(+Inf + i NaN)) = +Inf", __real__ result);
check_isnan ("imag(casinh(+Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(casinh) (BUILD_COMPLEX (minus_infty, nan_value));
check_isinfn ("real(casinh(-Inf + i NaN)) = -Inf", __real__ result);
check_isnan ("imag(casinh(-Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, 0));
check_isnan ("real(casinh(NaN + i0)) = NaN", __real__ result);
check ("imag(casinh(NaN + i0)) = 0", __imag__ result, 0);
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(casinh(NaN - i0)) = NaN", __real__ result);
check ("imag(casinh(NaN - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, plus_infty));
check_isinfp ("real(casinh(NaN + i Inf)) = +-Inf",
FUNC(fabs) (__real__ result));
check_isnan ("imag(casinh(NaN + i Inf)) = NaN", __imag__ result);
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, minus_infty));
check_isinfp ("real(casinh(NaN - i Inf)) = +-Inf",
FUNC(fabs) (__real__ result));
check_isnan ("imag(casinh(NaN - i Inf)) = NaN", __imag__ result);
result = FUNC(casinh) (BUILD_COMPLEX (10.5, nan_value));
check_isnan_maybe_exc ("real(casinh(10.5 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(casinh(10.5 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(casinh) (BUILD_COMPLEX (-10.5, nan_value));
check_isnan_maybe_exc ("real(casinh(-10.5 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(casinh(-10.5 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, 0.75));
check_isnan_maybe_exc ("real(casinh(NaN + i0.75)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(casinh(NaN + i0.75)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(casinh) (BUILD_COMPLEX (-0.75, nan_value));
check_isnan_maybe_exc ("real(casinh(NaN - i0.75)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(casinh(NaN - i0.75)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(casinh) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(casinh(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(casinh(NaN + i NaN)) = NaN", __imag__ result);
}
static void
catan_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(catan) (BUILD_COMPLEX (0, 0));
check ("real(catan(0 + i0)) = 0", __real__ result, 0);
check ("imag(catan(0 + i0)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (minus_zero, 0));
check ("real(catan(-0 + i0)) = -0", __real__ result, minus_zero);
check ("imag(catan(-0 + i0)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (0, minus_zero));
check ("real(catan(0 - i0)) = 0", __real__ result, 0);
check ("imag(catan(0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(catan(-0 - i0)) = -0", __real__ result, minus_zero);
check ("imag(catan(-0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (plus_infty, plus_infty));
check ("real(catan(+Inf + i Inf)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(+Inf + i Inf)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (plus_infty, minus_infty));
check ("real(catan(+Inf - i Inf)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(+Inf - i Inf)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (minus_infty, plus_infty));
check ("real(catan(-Inf + i Inf)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-Inf + i Inf)) = 0", __imag__ result, 0.0);
result = FUNC(catan) (BUILD_COMPLEX (minus_infty, minus_infty));
check ("real(catan(-Inf - i Inf)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-Inf - i Inf)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (plus_infty, -10.0));
check ("real(catan(+Inf - i10.0)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(+Inf - i10.0)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (minus_infty, -10.0));
check ("real(catan(-Inf - i10.0)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-Inf - i10.0)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (plus_infty, minus_zero));
check ("real(catan(Inf - i0)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (minus_infty, minus_zero));
check ("real(catan(-Inf - i0)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (plus_infty, 0.0));
check ("real(catan(Inf + i0)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(Inf + i0)) = 0", __imag__ result, 0.0);
result = FUNC(catan) (BUILD_COMPLEX (minus_infty, 0.0));
check ("real(catan(-Inf + i0)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-Inf + i0)) = 0", __imag__ result, 0.0);
result = FUNC(catan) (BUILD_COMPLEX (plus_infty, 0.1));
check ("real(catan(+Inf + i0.1)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(+Inf + i0.1)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (minus_infty, 0.1));
check ("real(catan(-Inf + i0.1)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-Inf + i0.1)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (0.0, minus_infty));
check ("real(catan(0 - i Inf)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(0 - i Inf)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (minus_zero, minus_infty));
check ("real(catan(-0 - i Inf)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-0 - i Inf)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (100.0, minus_infty));
check ("real(catan(100 - i Inf)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(100 - i Inf)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (-100.0, minus_infty));
check ("real(catan(-100 - i Inf)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-100 - i Inf)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (0.0, plus_infty));
check ("real(catan(0 + i Inf)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(0 + i Inf)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (minus_zero, plus_infty));
check ("real(catan(-0 + i Inf)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-0 + i Inf)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (0.5, plus_infty));
check ("real(catan(0.5 + i Inf)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(0.5 + i Inf)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (-0.5, plus_infty));
check ("real(catan(-0.5 + i Inf)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-0.5 + i Inf)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (nan_value, 0.0));
check_isnan ("real(catan(NaN + i0)) = NaN", __real__ result);
check ("imag(catan(NaN + i0)) = 0", __imag__ result, 0.0);
result = FUNC(catan) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(catan(NaN - i0)) = NaN", __real__ result);
check ("imag(catan(NaN - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (nan_value, plus_infty));
check_isnan ("real(catan(NaN + i Inf)) = NaN", __real__ result);
check ("imag(catan(NaN + i Inf)) = 0", __imag__ result, 0);
result = FUNC(catan) (BUILD_COMPLEX (nan_value, minus_infty));
check_isnan ("real(catan(NaN - i Inf)) = NaN", __real__ result);
check ("imag(catan(NaN - i Inf)) = -0", __imag__ result, minus_zero);
result = FUNC(catan) (BUILD_COMPLEX (0.0, nan_value));
check_isnan ("real(catan(0 + i NaN)) = NaN", __real__ result);
check_isnan ("imag(catan(0 + i NaN)) = NaN", __imag__ result);
result = FUNC(catan) (BUILD_COMPLEX (minus_zero, nan_value));
check_isnan ("real(catan(-0 + i NaN)) = NaN", __real__ result);
check_isnan ("imag(catan(-0 + i NaN)) = NaN", __imag__ result);
result = FUNC(catan) (BUILD_COMPLEX (plus_infty, nan_value));
check ("real(catan(+Inf + i NaN)) = pi/2", __real__ result, M_PI_2);
check ("imag(catan(+Inf + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(catan) (BUILD_COMPLEX (minus_infty, nan_value));
check ("real(catan(-Inf + i NaN)) = -pi/2", __real__ result, -M_PI_2);
check ("imag(catan(-Inf + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(catan) (BUILD_COMPLEX (nan_value, 10.5));
check_isnan_maybe_exc ("real(catan(NaN + i10.5)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(catan(NaN + i10.5)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(catan) (BUILD_COMPLEX (nan_value, -10.5));
check_isnan_maybe_exc ("real(catan(NaN - i10.5)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(catan(NaN - i10.5)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(catan) (BUILD_COMPLEX (0.75, nan_value));
check_isnan_maybe_exc ("real(catan(0.75 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(catan(0.75 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(catan) (BUILD_COMPLEX (-0.75, nan_value));
check_isnan_maybe_exc ("real(catan(-0.75 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(catan(-0.75 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(catan) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(catan(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(catan(NaN + i NaN)) = NaN", __imag__ result);
}
static void
catanh_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(catanh) (BUILD_COMPLEX (0, 0));
check ("real(catanh(0 + i0)) = 0", __real__ result, 0);
check ("imag(catanh(0 + i0)) = 0", __imag__ result, 0);
result = FUNC(catanh) (BUILD_COMPLEX (minus_zero, 0));
check ("real(catanh(-0 + i0)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-0 + i0)) = 0", __imag__ result, 0);
result = FUNC(catanh) (BUILD_COMPLEX (0, minus_zero));
check ("real(catanh(0 - i0)) = 0", __real__ result, 0);
check ("imag(catanh(0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(catanh) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(catanh(-0 - i0)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(catanh) (BUILD_COMPLEX (plus_infty, plus_infty));
check ("real(catanh(+Inf + i Inf)) = 0", __real__ result, 0);
check ("imag(catanh(+Inf + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (plus_infty, minus_infty));
check ("real(catanh(+Inf - i Inf)) = 0", __real__ result, 0);
check ("imag(catanh(+Inf - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (minus_infty, plus_infty));
check ("real(catanh(-Inf + i Inf)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-Inf + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (minus_infty, minus_infty));
check ("real(catanh(-Inf - i Inf)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-Inf - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (-10.0, plus_infty));
check ("real(catanh(-10.0 + i Inf)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-10.0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (-10.0, minus_infty));
check ("real(catanh(-10.0 - i Inf)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-10.0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (minus_zero, plus_infty));
check ("real(catanh(-0 + i Inf)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (minus_zero, minus_infty));
check ("real(catanh(-0 - i Inf)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (0, plus_infty));
check ("real(catanh(0 + i Inf)) = 0", __real__ result, 0);
check ("imag(catanh(0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (0, minus_infty));
check ("real(catanh(0 - i Inf)) = 0", __real__ result, 0);
check ("imag(catanh(0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (0.1, plus_infty));
check ("real(catanh(0.1 + i Inf)) = 0", __real__ result, 0);
check ("imag(catanh(0.1 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (0.1, minus_infty));
check ("real(catanh(0.1 - i Inf)) = 0", __real__ result, 0);
check ("imag(catanh(0.1 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (minus_infty, 0));
check ("real(catanh(-Inf + i0)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-Inf + i0)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (minus_infty, minus_zero));
check ("real(catanh(-Inf - i0)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-Inf - i0)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (minus_infty, 100));
check ("real(catanh(-Inf + i100)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-Inf + i100)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (minus_infty, -100));
check ("real(catanh(-Inf - i100)) = -0", __real__ result, minus_zero);
check ("imag(catanh(-Inf - i100)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (plus_infty, 0));
check ("real(catanh(+Inf + i0)) = 0", __real__ result, 0);
check ("imag(catanh(+Inf + i0)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (plus_infty, minus_zero));
check ("real(catanh(+Inf - i0)) = 0", __real__ result, 0);
check ("imag(catanh(+Inf - i0)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (plus_infty, 0.5));
check ("real(catanh(+Inf + i0.5)) = 0", __real__ result, 0);
check ("imag(catanh(+Inf + i0.5)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (plus_infty, -0.5));
check ("real(catanh(+Inf - i0.5)) = 0", __real__ result, 0);
check ("imag(catanh(+Inf - i0.5)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (0, nan_value));
check ("real(catanh(0 + i NaN)) = 0", __real__ result, 0);
check_isnan ("imag(catanh(0 + i NaN)) = NaN", __imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (minus_zero, nan_value));
check ("real(catanh(-0 + i NaN)) = -0", __real__ result, minus_zero);
check_isnan ("imag(catanh(-0 + i NaN)) = NaN", __imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (plus_infty, nan_value));
check ("real(catanh(+Inf + i NaN)) = 0", __real__ result, 0);
check_isnan ("imag(catanh(+Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (minus_infty, nan_value));
check ("real(catanh(-Inf + i NaN)) = -0", __real__ result, minus_zero);
check_isnan ("imag(catanh(-Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (nan_value, 0));
check_isnan ("real(catanh(NaN + i0)) = NaN", __real__ result);
check_isnan ("imag(catanh(NaN + i0)) = NaN", __imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(catanh(NaN - i0)) = NaN", __real__ result);
check_isnan ("imag(catanh(NaN - i0)) = NaN", __imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (nan_value, plus_infty));
check ("real(catanh(NaN + i Inf)) = +-0", FUNC(fabs) (__real__ result), 0);
check ("imag(catanh(NaN + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (nan_value, minus_infty));
check ("real(catanh(NaN - i Inf)) = +-0", FUNC(fabs) (__real__ result), 0);
check ("imag(catanh(NaN - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(catanh) (BUILD_COMPLEX (10.5, nan_value));
check_isnan_maybe_exc ("real(catanh(10.5 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(catanh(10.5 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (-10.5, nan_value));
check_isnan_maybe_exc ("real(catanh(-10.5 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(catanh(-10.5 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (nan_value, 0.75));
check_isnan_maybe_exc ("real(catanh(NaN + i0.75)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(catanh(NaN + i0.75)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (nan_value, -0.75));
check_isnan_maybe_exc ("real(catanh(NaN - i0.75)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(catanh(NaN - i0.75)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(catanh) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(catanh(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(catanh(NaN + i NaN)) = NaN", __imag__ result);
}
static void
ctanh_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(ctanh) (BUILD_COMPLEX (0, 0));
check ("real(ctanh(0 + i0)) = 0", __real__ result, 0);
check ("imag(ctanh(0 + i0)) = 0", __imag__ result, 0);
result = FUNC(ctanh) (BUILD_COMPLEX (0, minus_zero));
check ("real(ctanh(0 - i0)) = 0", __real__ result, 0);
check ("imag(ctanh(0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_zero, 0));
check ("real(ctanh(-0 + i0)) = -0", __real__ result, minus_zero);
check ("imag(ctanh(-0 + i0)) = 0", __imag__ result, 0);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(ctanh(-0 - i0)) = -0", __real__ result, minus_zero);
check ("imag(ctanh(-0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (plus_infty, 0));
check ("real(ctanh(+Inf + i0)) = 1", __real__ result, 1);
check ("imag(ctanh(+Inf + i0)) = 0", __imag__ result, 0);
result = FUNC(ctanh) (BUILD_COMPLEX (plus_infty, 1));
check ("real(ctanh(+Inf + i1)) = 1", __real__ result, 1);
check ("imag(ctanh(+Inf + i1)) = 0", __imag__ result, 0);
result = FUNC(ctanh) (BUILD_COMPLEX (plus_infty, minus_zero));
check ("real(ctanh(+Inf - i0)) = 1", __real__ result, 1);
check ("imag(ctanh(+Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (plus_infty, -1));
check ("real(ctanh(+Inf - i1)) = 1", __real__ result, 1);
check ("imag(ctanh(+Inf - i1)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_infty, 0));
check ("real(ctanh(-Inf + i0)) = -1", __real__ result, -1);
check ("imag(ctanh(-Inf + i0)) = 0", __imag__ result, 0);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_infty, 1));
check ("real(ctanh(-Inf + i1)) = -1", __real__ result, -1);
check ("imag(ctanh(-Inf + i1)) = 0", __imag__ result, 0);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_infty, minus_zero));
check ("real(ctanh(-Inf - i0)) = -1", __real__ result, -1);
check ("imag(ctanh(-Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_infty, -1));
check ("real(ctanh(-Inf - i1)) = -1", __real__ result, -1);
check ("imag(ctanh(-Inf - i1)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (0, plus_infty));
check_isnan_exc ("real(ctanh(0 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(0 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (2, plus_infty));
check_isnan_exc ("real(ctanh(2 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(2 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (0, minus_infty));
check_isnan_exc ("real(ctanh(0 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(0 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (2, minus_infty));
check_isnan_exc ("real(ctanh(2 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(2 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_zero, plus_infty));
check_isnan_exc ("real(ctanh(-0 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(-0 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (-2, plus_infty));
check_isnan_exc ("real(ctanh(-2 + i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(-2 + i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_zero, minus_infty));
check_isnan_exc ("real(ctanh(-0 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(-0 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (-2, minus_infty));
check_isnan_exc ("real(ctanh(-2 - i Inf)) = NaN plus invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(-2 - i Inf)) = NaN plus invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (plus_infty, nan_value));
check ("real(ctanh(+Inf + i NaN)) = 1", __real__ result, 1);
check ("imag(ctanh(+Inf + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_infty, nan_value));
check ("real(ctanh(-Inf + i NaN)) = -1", __real__ result, -1);
check ("imag(ctanh(-Inf + i NaN)) = +-0", FUNC(fabs) (__imag__ result), 0);
result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, 0));
check_isnan ("real(ctanh(NaN + i0)) = NaN", __real__ result);
check ("imag(ctanh(NaN + i0)) = 0", __imag__ result, 0);
result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan ("real(ctanh(NaN - i0)) = NaN", __real__ result);
check ("imag(ctanh(NaN - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, 0.5));
check_isnan_maybe_exc ("real(ctanh(NaN + i0.5)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(NaN + i0.5)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, -4.5));
check_isnan_maybe_exc ("real(ctanh(NaN - i4.5)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(NaN - i4.5)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (0, nan_value));
check_isnan_maybe_exc ("real(ctanh(0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (5, nan_value));
check_isnan_maybe_exc ("real(ctanh(5 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(5 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (minus_zero, nan_value));
check_isnan_maybe_exc ("real(ctanh(-0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(-0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (-0.25, nan_value));
check_isnan_maybe_exc ("real(ctanh(-0.25 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(ctanh(-0.25 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(ctanh) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(ctanh(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(ctanh(NaN + i NaN)) = NaN", __imag__ result);
}
static void
clog_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(clog) (BUILD_COMPLEX (minus_zero, 0));
check_isinfn_exc ("real(clog(-0 + i0)) = -Inf plus divide-by-zero exception",
__real__ result, DIVIDE_BY_ZERO_EXCEPTION);
check ("imag(clog(-0 + i0)) = pi plus divide-by-zero exception",
__imag__ result, M_PI);
result = FUNC(clog) (BUILD_COMPLEX (minus_zero, minus_zero));
check_isinfn_exc ("real(clog(-0 - i0)) = -Inf plus divide-by-zero exception",
__real__ result, DIVIDE_BY_ZERO_EXCEPTION);
check ("imag(clog(-0 - i0)) = -pi plus divide-by-zero exception",
__imag__ result, -M_PI);
result = FUNC(clog) (BUILD_COMPLEX (0, 0));
check_isinfn_exc ("real(clog(0 + i0)) = -Inf plus divide-by-zero exception",
__real__ result, DIVIDE_BY_ZERO_EXCEPTION);
check ("imag(clog(0 + i0)) = 0 plus divide-by-zero exception",
__imag__ result, 0);
result = FUNC(clog) (BUILD_COMPLEX (0, minus_zero));
check_isinfn_exc ("real(clog(0 - i0)) = -Inf plus divide-by-zero exception",
__real__ result, DIVIDE_BY_ZERO_EXCEPTION);
check ("imag(clog(0 - i0)) = -0 plus divide-by-zero exception",
__imag__ result, minus_zero);
result = FUNC(clog) (BUILD_COMPLEX (minus_infty, plus_infty));
check_isinfp ("real(clog(-Inf + i Inf)) = +Inf", __real__ result);
check ("imag(clog(-Inf + i Inf)) = 3*pi/4", __imag__ result, M_PI - M_PI_4);
result = FUNC(clog) (BUILD_COMPLEX (minus_infty, minus_infty));
check_isinfp ("real(clog(-Inf - i Inf)) = +Inf", __real__ result);
check ("imag(clog(-Inf - i Inf)) = -3*pi/4", __imag__ result, M_PI_4 - M_PI);
result = FUNC(clog) (BUILD_COMPLEX (plus_infty, plus_infty));
check_isinfp ("real(clog(+Inf + i Inf)) = +Inf", __real__ result);
check ("imag(clog(+Inf + i Inf)) = pi/4", __imag__ result, M_PI_4);
result = FUNC(clog) (BUILD_COMPLEX (plus_infty, minus_infty));
check_isinfp ("real(clog(+Inf - i Inf)) = +Inf", __real__ result);
check ("imag(clog(+Inf - i Inf)) = -pi/4", __imag__ result, -M_PI_4);
result = FUNC(clog) (BUILD_COMPLEX (0, plus_infty));
check_isinfp ("real(clog(0 + i Inf)) = +Inf", __real__ result);
check ("imag(clog(0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(clog) (BUILD_COMPLEX (3, plus_infty));
check_isinfp ("real(clog(3 + i Inf)) = +Inf", __real__ result);
check ("imag(clog(3 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(clog) (BUILD_COMPLEX (minus_zero, plus_infty));
check_isinfp ("real(clog(-0 + i Inf)) = +Inf", __real__ result);
check ("imag(clog(-0 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(clog) (BUILD_COMPLEX (-3, plus_infty));
check_isinfp ("real(clog(-3 + i Inf)) = +Inf", __real__ result);
check ("imag(clog(-3 + i Inf)) = pi/2", __imag__ result, M_PI_2);
result = FUNC(clog) (BUILD_COMPLEX (0, minus_infty));
check_isinfp ("real(clog(0 - i Inf)) = +Inf", __real__ result);
check ("imag(clog(0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(clog) (BUILD_COMPLEX (3, minus_infty));
check_isinfp ("real(clog(3 - i Inf)) = +Inf", __real__ result);
check ("imag(clog(3 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(clog) (BUILD_COMPLEX (minus_zero, minus_infty));
check_isinfp ("real(clog(-0 - i Inf)) = +Inf", __real__ result);
check ("imag(clog(-0 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(clog) (BUILD_COMPLEX (-3, minus_infty));
check_isinfp ("real(clog(-3 - i Inf)) = +Inf", __real__ result);
check ("imag(clog(-3 - i Inf)) = -pi/2", __imag__ result, -M_PI_2);
result = FUNC(clog) (BUILD_COMPLEX (minus_infty, 0));
check_isinfp ("real(clog(-Inf + i0)) = +Inf", __real__ result);
check ("imag(clog(-Inf + i0)) = pi", __imag__ result, M_PI);
result = FUNC(clog) (BUILD_COMPLEX (minus_infty, 1));
check_isinfp ("real(clog(-Inf + i1)) = +Inf", __real__ result);
check ("imag(clog(-Inf + i1)) = pi", __imag__ result, M_PI);
result = FUNC(clog) (BUILD_COMPLEX (minus_infty, minus_zero));
check_isinfp ("real(clog(-Inf - i0)) = +Inf", __real__ result);
check ("imag(clog(-Inf - i0)) = -pi", __imag__ result, -M_PI);
result = FUNC(clog) (BUILD_COMPLEX (minus_infty, -1));
check_isinfp ("real(clog(-Inf - i1)) = +Inf", __real__ result);
check ("imag(clog(-Inf - i1)) = -pi", __imag__ result, -M_PI);
result = FUNC(clog) (BUILD_COMPLEX (plus_infty, 0));
check_isinfp ("real(clog(+Inf + i0)) = +Inf", __real__ result);
check ("imag(clog(+Inf + i0)) = 0", __imag__ result, 0);
result = FUNC(clog) (BUILD_COMPLEX (plus_infty, 1));
check_isinfp ("real(clog(+Inf + i1)) = +Inf", __real__ result);
check ("imag(clog(+Inf + i1)) = 0", __imag__ result, 0);
result = FUNC(clog) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isinfp ("real(clog(+Inf - i0)) = +Inf", __real__ result);
check ("imag(clog(+Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(clog) (BUILD_COMPLEX (plus_infty, -1));
check_isinfp ("real(clog(+Inf - i1)) = +Inf", __real__ result);
check ("imag(clog(+Inf - i1)) = -0", __imag__ result, minus_zero);
result = FUNC(clog) (BUILD_COMPLEX (plus_infty, nan_value));
check_isinfp ("real(clog(+Inf + i NaN)) = +Inf", __real__ result);
check_isnan ("imag(clog(+Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (minus_infty, nan_value));
check_isinfp ("real(clog(-Inf + i NaN)) = +Inf", __real__ result);
check_isnan ("imag(clog(-Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (nan_value, plus_infty));
check_isinfp ("real(clog(NaN + i Inf)) = +Inf", __real__ result);
check_isnan ("imag(clog(NaN + i Inf)) = NaN", __imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (nan_value, minus_infty));
check_isinfp ("real(clog(NaN - i Inf)) = +Inf", __real__ result);
check_isnan ("imag(clog(NaN - i Inf)) = NaN", __imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (0, nan_value));
check_isnan_maybe_exc ("real(clog(0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(clog(0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (3, nan_value));
check_isnan_maybe_exc ("real(clog(3 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(clog(3 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (minus_zero, nan_value));
check_isnan_maybe_exc ("real(clog(-0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(clog(-0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (-3, nan_value));
check_isnan_maybe_exc ("real(clog(-3 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(clog(-3 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (nan_value, 0));
check_isnan_maybe_exc ("real(clog(NaN + i0)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(clog(NaN + i0)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (nan_value, 5));
check_isnan_maybe_exc ("real(clog(NaN + i5)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(clog(NaN + i5)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan_maybe_exc ("real(clog(NaN - i0)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(clog(NaN - i0)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (nan_value, -5));
check_isnan_maybe_exc ("real(clog(NaN - i5)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(clog(NaN - i5)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(clog) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(clog(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(clog(NaN + i NaN)) = NaN", __imag__ result);
}
static void
csqrt_test (void)
{
__complex__ MATHTYPE result;
result = FUNC(csqrt) (BUILD_COMPLEX (0, 0));
check ("real(csqrt(0 + i0)) = 0", __real__ result, 0);
check ("imag(csqrt(0 + i0)) = 0", __imag__ result, 0);
result = FUNC(csqrt) (BUILD_COMPLEX (0, minus_zero));
check ("real(csqrt(0 - i0)) = 0", __real__ result, 0);
check ("imag(csqrt(0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_zero, 0));
check ("real(csqrt(-0 + i0)) = 0", __real__ result, 0);
check ("imag(csqrt(-0 + i0)) = 0", __imag__ result, 0);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_zero, minus_zero));
check ("real(csqrt(-0 - i0)) = 0", __real__ result, 0);
check ("imag(csqrt(-0 - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_infty, 0));
check ("real(csqrt(-Inf + i0)) = 0", __real__ result, 0);
check_isinfp ("imag(csqrt(-Inf + i0)) = +Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_infty, 6));
check ("real(csqrt(-Inf + i6)) = 0", __real__ result, 0);
check_isinfp ("imag(csqrt(-Inf + i6)) = +Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_infty, minus_zero));
check ("real(csqrt(-Inf - i0)) = 0", __real__ result, 0);
check_isinfn ("imag(csqrt(-Inf - i0)) = -Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_infty, -6));
check ("real(csqrt(-Inf - i6)) = 0", __real__ result, 0);
check_isinfn ("imag(csqrt(-Inf - i6)) = -Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, 0));
check_isinfp ("real(csqrt(+Inf + i0)) = +Inf", __real__ result);
check ("imag(csqrt(+Inf + i0)) = 0", __imag__ result, 0);
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, 6));
check_isinfp ("real(csqrt(+Inf + i6)) = +Inf", __real__ result);
check ("imag(csqrt(+Inf + i6)) = 0", __imag__ result, 0);
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, minus_zero));
check_isinfp ("real(csqrt(+Inf - i0)) = +Inf", __real__ result);
check ("imag(csqrt(+Inf - i0)) = -0", __imag__ result, minus_zero);
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, -6));
check_isinfp ("real(csqrt(+Inf - i6)) = +Inf", __real__ result);
check ("imag(csqrt(+Inf - i6)) = -0", __imag__ result, minus_zero);
result = FUNC(csqrt) (BUILD_COMPLEX (0, plus_infty));
check_isinfp ("real(csqrt(0 + i Inf)) = +Inf", __real__ result);
check_isinfp ("imag(csqrt(0 + i Inf)) = +Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (4, plus_infty));
check_isinfp ("real(csqrt(4 + i Inf)) = +Inf", __real__ result);
check_isinfp ("imag(csqrt(4 + i Inf)) = +Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, plus_infty));
check_isinfp ("real(csqrt(+Inf + i Inf)) = +Inf", __real__ result);
check_isinfp ("imag(csqrt(+Inf + i Inf)) = +Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_zero, plus_infty));
check_isinfp ("real(csqrt(-0 + i Inf)) = +Inf", __real__ result);
check_isinfp ("imag(csqrt(-0 + i Inf)) = +Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (-4, plus_infty));
check_isinfp ("real(csqrt(-4 + i Inf)) = +Inf", __real__ result);
check_isinfp ("imag(csqrt(-4 + i Inf)) = +Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_infty, plus_infty));
check_isinfp ("real(csqrt(-Inf + i Inf)) = +Inf", __real__ result);
check_isinfp ("imag(csqrt(-Inf + i Inf)) = +Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (0, minus_infty));
check_isinfp ("real(csqrt(0 - i Inf)) = +Inf", __real__ result);
check_isinfn ("imag(csqrt(0 - i Inf)) = -Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (4, minus_infty));
check_isinfp ("real(csqrt(4 - i Inf)) = +Inf", __real__ result);
check_isinfn ("imag(csqrt(4 - i Inf)) = -Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, minus_infty));
check_isinfp ("real(csqrt(+Inf - i Inf)) = +Inf", __real__ result);
check_isinfn ("imag(csqrt(+Inf - i Inf)) = -Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_zero, minus_infty));
check_isinfp ("real(csqrt(-0 - i Inf)) = +Inf", __real__ result);
check_isinfn ("imag(csqrt(-0 - i Inf)) = -Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (-4, minus_infty));
check_isinfp ("real(csqrt(-4 - i Inf)) = +Inf", __real__ result);
check_isinfn ("imag(csqrt(-4 - i Inf)) = -Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_infty, minus_infty));
check_isinfp ("real(csqrt(-Inf - i Inf)) = +Inf", __real__ result);
check_isinfn ("imag(csqrt(-Inf - i Inf)) = -Inf", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_infty, nan_value));
check_isnan ("real(csqrt(-Inf + i NaN)) = NaN", __real__ result);
check_isinfp ("imag(csqrt(-Inf + i NaN)) = +-Inf",
FUNC(fabs) (__imag__ result));
result = FUNC(csqrt) (BUILD_COMPLEX (plus_infty, nan_value));
check_isinfp ("real(csqrt(+Inf + i NaN)) = +Inf", __real__ result);
check_isnan ("imag(csqrt(+Inf + i NaN)) = NaN", __imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (0, nan_value));
check_isnan_maybe_exc ("real(csqrt(0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csqrt(0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (1, nan_value));
check_isnan_maybe_exc ("real(csqrt(1 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csqrt(1 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (minus_zero, nan_value));
check_isnan_maybe_exc ("real(csqrt(-0 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csqrt(-0 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (-1, nan_value));
check_isnan_maybe_exc ("real(csqrt(-1 + i NaN)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csqrt(-1 + i NaN)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (nan_value, 0));
check_isnan_maybe_exc ("real(csqrt(NaN + i0)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csqrt(NaN + i0)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (nan_value, 8));
check_isnan_maybe_exc ("real(csqrt(NaN + i8)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csqrt(NaN + i8)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (nan_value, minus_zero));
check_isnan_maybe_exc ("real(csqrt(NaN - i0)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csqrt(NaN - i0)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (nan_value, -8));
check_isnan_maybe_exc ("real(csqrt(NaN - i8)) = NaN plus maybe invalid exception",
__real__ result, INVALID_EXCEPTION);
check_isnan ("imag(csqrt(NaN - i8)) = NaN plus maybe invalid exception",
__imag__ result);
result = FUNC(csqrt) (BUILD_COMPLEX (nan_value, nan_value));
check_isnan ("real(csqrt(NaN + i NaN)) = NaN", __real__ result);
check_isnan ("imag(csqrt(NaN + i NaN)) = NaN", __imag__ result);
}
static void
cpow_test (void)
{
__complex__ MATHTYPE result;
}
static void
rint_test (void)
{
check ("rint(0) = 0", FUNC(rint) (0.0), 0.0);
check ("rint(-0) = -0", FUNC(rint) (minus_zero), minus_zero);
check_isinfp ("rint(+Inf) = +Inf", FUNC(rint) (plus_infty));
check_isinfn ("rint(-Inf) = -Inf", FUNC(rint) (minus_infty));
}
static void
rinttol_test (void)
{
/* XXX this test is incomplete. We need to have a way to specifiy
the rounding method and test the critical cases. So far, only
unproblematic numbers are tested. */
check_long ("rinttol(0) = 0", rinttol (0.0), 0);
check_long ("rinttol(-0) = 0", rinttol (minus_zero), 0);
check_long ("rinttol(0.2) = 0", rinttol (0.2), 0);
check_long ("rinttol(-0.2) = 0", rinttol (-0.2), 0);
check_long ("rinttol(1.4) = 1", rinttol (1.4), 1);
check_long ("rinttol(-1.4) = -1", rinttol (-1.4), -1);
check_long ("rinttol(8388600.3) = 8388600", rinttol (8388600.3), 8388600);
check_long ("rinttol(-8388600.3) = -8388600", rinttol (-8388600.3),
-8388600);
}
static void
rinttoll_test (void)
{
/* XXX this test is incomplete. We need to have a way to specifiy
the rounding method and test the critical cases. So far, only
unproblematic numbers are tested. */
check_longlong ("rinttoll(0) = 0", rinttoll (0.0), 0);
check_longlong ("rinttoll(-0) = 0", rinttoll (minus_zero), 0);
check_longlong ("rinttoll(0.2) = 0", rinttoll (0.2), 0);
check_longlong ("rinttoll(-0.2) = 0", rinttoll (-0.2), 0);
check_longlong ("rinttoll(1.4) = 1", rinttoll (1.4), 1);
check_longlong ("rinttoll(-1.4) = -1", rinttoll (-1.4), -1);
check_longlong ("rinttoll(8388600.3) = 8388600", rinttoll (8388600.3),
8388600);
check_longlong ("rinttoll(-8388600.3) = -8388600", rinttoll (-8388600.3),
-8388600);
}
static void
round_test (void)
{
check ("round(0) = 0", FUNC(round) (0), 0);
check ("round(-0) = -0", FUNC(round) (minus_zero), minus_zero);
check ("round(0.2) = 0", FUNC(round) (0.2), 0.0);
check ("round(-0.2) = -0", FUNC(round) (-0.2), minus_zero);
check ("round(0.5) = 1", FUNC(round) (0.5), 1.0);
check ("round(-0.5) = -1", FUNC(round) (-0.5), -1.0);
check ("round(0.8) = 1", FUNC(round) (0.8), 1.0);
check ("round(-0.8) = -1", FUNC(round) (-0.8), -1.0);
check ("round(1.5) = 2", FUNC(round) (1.5), 2.0);
check ("round(-1.5) = -2", FUNC(round) (-1.5), -2.0);
check ("round(2097152.5) = 2097153", FUNC(round) (2097152.5), 2097153);
check ("round(-2097152.5) = -2097153", FUNC(round) (-2097152.5), -2097153);
}
static void
roundtol_test (void)
{
check_long ("roundtol(0) = 0", roundtol (0), 0);
check_long ("roundtol(-0) = 0", roundtol (minus_zero), 0);
check_long ("roundtol(0.2) = 0", roundtol (0.2), 0.0);
check_long ("roundtol(-0.2) = 0", roundtol (-0.2), 0);
check_long ("roundtol(0.5) = 1", roundtol (0.5), 1);
check_long ("roundtol(-0.5) = -1", roundtol (-0.5), -1);
check_long ("roundtol(0.8) = 1", roundtol (0.8), 1);
check_long ("roundtol(-0.8) = -1", roundtol (-0.8), -1);
check_long ("roundtol(1.5) = 2", roundtol (1.5), 2);
check_long ("roundtol(-1.5) = -2", roundtol (-1.5), -2);
check_long ("roundtol(2097152.5) = 2097153", roundtol (2097152.5), 2097153);
check_long ("roundtol(-2097152.5) = -2097153", roundtol (-2097152.5),
-2097153);
}
static void
roundtoll_test (void)
{
check_longlong ("roundtoll(0) = 0", roundtoll (0), 0);
check_longlong ("roundtoll(-0) = 0", roundtoll (minus_zero), 0);
check_longlong ("roundtoll(0.2) = 0", roundtoll (0.2), 0.0);
check_longlong ("roundtoll(-0.2) = 0", roundtoll (-0.2), 0);
check_longlong ("roundtoll(0.5) = 1", roundtoll (0.5), 1);
check_longlong ("roundtoll(-0.5) = -1", roundtoll (-0.5), -1);
check_longlong ("roundtoll(0.8) = 1", roundtoll (0.8), 1);
check_longlong ("roundtoll(-0.8) = -1", roundtoll (-0.8), -1);
check_longlong ("roundtoll(1.5) = 2", roundtoll (1.5), 2);
check_longlong ("roundtoll(-1.5) = -2", roundtoll (-1.5), -2);
check_longlong ("roundtoll(2097152.5) = 2097153",
roundtoll (2097152.5), 2097153);
check_longlong ("roundtoll(-2097152.5) = -2097153",
roundtoll (-2097152.5), -2097153);
check_longlong ("roundtoll(34359738368.5) = 34359738369",
roundtoll (34359738368.5), 34359738369ll);
check_longlong ("roundtoll(-34359738368.5) = -34359738369",
roundtoll (-34359738368.5), -34359738369ll);
}
static void
inverse_func_pair_test (const char *test_name,
mathfunc f1, mathfunc inverse,
MATHTYPE x, MATHTYPE epsilon)
{
MATHTYPE a, b, difference;
int result;
a = f1 (x);
(void) &a;
b = inverse (a);
(void) &b;
result = check_equal (b, x, epsilon, &difference);
output_result (test_name, result,
b, x, difference, PRINT, PRINT);
}
static void
inverse_functions (void)
{
inverse_func_pair_test ("asin(sin(x)) == x",
FUNC(sin), FUNC(asin), 1.0, CHOOSE (2e-18L, 0, 1e-7L));
inverse_func_pair_test ("sin(asin(x)) == x",
FUNC(asin), FUNC(sin), 1.0, 0.0);
inverse_func_pair_test ("acos(cos(x)) == x",
FUNC(cos), FUNC(acos), 1.0, CHOOSE (4e-18L, 1e-15L, 0));
inverse_func_pair_test ("cos(acos(x)) == x",
FUNC(acos), FUNC(cos), 1.0, 0.0);
inverse_func_pair_test ("atan(tan(x)) == x",
FUNC(tan), FUNC(atan), 1.0, CHOOSE (2e-18L, 0, 0));
inverse_func_pair_test ("tan(atan(x)) == x",
FUNC(atan), FUNC(tan), 1.0, CHOOSE (2e-18L, 1e-15L, 0));
inverse_func_pair_test ("asinh(sinh(x)) == x",
FUNC(sinh), FUNC(asinh), 1.0, CHOOSE (1e-18L, 0, 1e-7));
inverse_func_pair_test ("sinh(asinh(x)) == x",
FUNC(asinh), FUNC(sinh), 1.0, CHOOSE (2e-18L, 0, 0));
inverse_func_pair_test ("acosh(cosh(x)) == x",
FUNC(cosh), FUNC(acosh), 1.0, CHOOSE (1e-18L, 1e-15L, 0));
inverse_func_pair_test ("cosh(acosh(x)) == x",
FUNC(acosh), FUNC(cosh), 1.0, 0.0);
inverse_func_pair_test ("atanh(tanh(x)) == x",
FUNC(tanh), FUNC(atanh), 1.0, CHOOSE (1e-18L, 1e-15L, 0));
inverse_func_pair_test ("tanh(atanh(x)) == x",
FUNC(atanh), FUNC(tanh), 1.0, 0.0);
}
/* Test sin and cos with the identity: sin(x)^2 + cos(x)^2 = 1. */
static void
identities1_test (MATHTYPE x, MATHTYPE epsilon)
{
MATHTYPE res1, res2, res3, diff;
int result;
res1 = FUNC(sin) (x);
(void) &res1;
res2 = FUNC(cos) (x);
(void) &res2;
res3 = res1 * res1 + res2 * res2;
(void) &res3;
result = check_equal (res3, 1.0, epsilon, &diff);
output_result_ext ("sin^2 + cos^2 == 1", result,
res3, 1.0, diff, x, PRINT, PRINT);
}
/* Test sin, cos, tan with the following relation: tan = sin/cos. */
static void
identities2_test (MATHTYPE x, MATHTYPE epsilon)
{
MATHTYPE res1, res2, res3, res4, diff;
int result;
res1 = FUNC(sin) (x);
(void) &res1;
res2 = FUNC(cos) (x);
(void) &res2;
res3 = FUNC(tan) (x);
(void) &res3;
res4 = res1 / res2;
(void) &res4;
result = check_equal (res4, res3, epsilon, &diff);
output_result_ext ("sin/cos == tan", result,
res4, res3, diff, x, PRINT, PRINT);
}
/* Test cosh and sinh with the identity cosh^2 - sinh^2 = 1. */
static void
identities3_test (MATHTYPE x, MATHTYPE epsilon)
{
MATHTYPE res1, res2, res3, diff;
int result;
res1 = FUNC(sinh) (x);
(void) &res1;
res2 = FUNC(cosh) (x);
(void) &res2;
res3 = res2 * res2 - res1 * res1;
(void) &res3;
result = check_equal (res3, 1.0, epsilon, &diff);
output_result_ext ("cosh^2 - sinh^2 == 1", result,
res3, 1.0, diff, x, PRINT, PRINT);
}
static void
identities (void)
{
identities1_test (0.2L, CHOOSE (1e-18L, 0, 2e-7));
identities1_test (0.9L, CHOOSE (1e-18L, 0, 0));
identities1_test (0, 0);
identities1_test (-1, CHOOSE (1e-18L, 0, 1e-7));
identities2_test (0.2L, CHOOSE (0, 1e-16, 0));
identities2_test (0.9L, CHOOSE (0, 1e-15, 0));
identities2_test (0, 0);
identities2_test (-1, CHOOSE (1e-18L, 1e-15, 0));
identities3_test (0.2L, CHOOSE (1e-18L, 0, 1e-7));
identities3_test (0.9L, CHOOSE (1e-18L, 1e-15, 1e-6));
identities3_test (0, CHOOSE (0, 0, 1e-6));
identities3_test (-1, CHOOSE (1e-18L, 0, 1e-6));
}
/*
Let's test that basic arithmetic is working
tests: Infinity and NaN
*/
static void
basic_tests (void)
{
/* variables are declared volatile to forbid some compiler
optimizations */
volatile MATHTYPE Inf_var, NaN_var, zero_var, one_var;
MATHTYPE x1, x2;
zero_var = 0.0;
one_var = 1.0;
NaN_var = nan_value;
Inf_var = one_var / zero_var;
(void) &zero_var;
(void) &one_var;
(void) &NaN_var;
(void) &Inf_var;
/* Clear all exceptions. The previous computations raised exceptions. */
feclearexcept (FE_ALL_EXCEPT);
check_isinfp ("isinf (inf) == +1", Inf_var);
check_isinfn ("isinf (-inf) == -1", -Inf_var);
check_bool ("!isinf (1)", !(FUNC(isinf) (one_var)));
check_bool ("!isinf (NaN)", !(FUNC(isinf) (NaN_var)));
check_isnan ("isnan (NaN)", NaN_var);
check_isnan ("isnan (-NaN)", -NaN_var);
check_bool ("!isnan (1)", !(FUNC(isnan) (one_var)));
check_bool ("!isnan (inf)", !(FUNC(isnan) (Inf_var)));
check_bool ("inf == inf", Inf_var == Inf_var);
check_bool ("-inf == -inf", -Inf_var == -Inf_var);
check_bool ("inf != -inf", Inf_var != -Inf_var);
check_bool ("NaN != NaN", NaN_var != NaN_var);
/*
the same tests but this time with NAN from <nan.h>
NAN is a double const
*/
check_bool ("isnan (NAN)", isnan (NAN));
check_bool ("isnan (-NAN)", isnan (-NAN));
check_bool ("!isinf (NAN)", !(isinf (NAN)));
check_bool ("!isinf (-NAN)", !(isinf (-NAN)));
check_bool ("NAN != NAN", NAN != NAN);
/*
And again with the value returned by the `nan' function.
*/
check_bool ("isnan (NAN)", FUNC(isnan) (FUNC(nan) ("")));
check_bool ("isnan (-NAN)", FUNC(isnan) (-FUNC(nan) ("")));
check_bool ("!isinf (NAN)", !(FUNC(isinf) (FUNC(nan) (""))));
check_bool ("!isinf (-NAN)", !(FUNC(isinf) (-FUNC(nan) (""))));
check_bool ("NAN != NAN", FUNC(nan) ("") != FUNC(nan) (""));
/* test if EPSILON is ok */
x1 = MATHCONST (1.0);
x2 = x1 + CHOOSE (LDBL_EPSILON, DBL_EPSILON, FLT_EPSILON);
check_bool ("1 != 1+EPSILON", x1 != x2);
x1 = MATHCONST (1.0);
x2 = x1 - CHOOSE (LDBL_EPSILON, DBL_EPSILON, FLT_EPSILON);
check_bool ("1 != 1-EPSILON", x1 != x2);
/* test if HUGE_VALx is ok */
x1 = CHOOSE (HUGE_VALL, HUGE_VAL, HUGE_VALF);
check_bool ("isinf (HUGE_VALx) == +1", ISINF (x1) == +1);
x1 = -CHOOSE (HUGE_VALL, HUGE_VAL, HUGE_VALF);
check_bool ("isinf (-HUGE_VALx) == -1", ISINF (x1) == -1);
}
static void
initialize (void)
{
fpstack_test ("start *init*");
plus_zero = 0.0;
nan_value = plus_zero / plus_zero; /* Suppress GCC warning */
minus_zero = FUNC (copysign) (0.0, -1.0);
plus_infty = CHOOSE (HUGE_VALL, HUGE_VAL, HUGE_VALF);
minus_infty = -CHOOSE (HUGE_VALL, HUGE_VAL, HUGE_VALF);
(void) &plus_zero;
(void) &nan_value;
(void) &minus_zero;
(void) &plus_infty;
(void) &minus_infty;
/* Clear all exceptions. From now on we must not get random exceptions. */
feclearexcept (FE_ALL_EXCEPT);
/* Test to make sure we start correctly. */
fpstack_test ("end *init*");
}
static struct option long_options[] =
{
{"verbose", optional_argument, NULL, 'v'},
{"silent", no_argument, NULL, 's'},
{0, 0, 0, 0}
};
static void
parse_options (int argc, char *argv[])
{
int c;
int option_index;
verbose = 1;
while (1)
{
c = getopt_long (argc, argv, "v::s",
long_options, &option_index);
/* Detect the end of the options. */
if (c == -1)
break;
switch (c)
{
case 'v':
if (optarg)
verbose = (unsigned int) strtoul (optarg, NULL, 0);
else
verbose = 3;
break;
case 's':
verbose = 0;
default:
break;
}
}
}
int
main (int argc, char *argv[])
{
parse_options (argc, argv);
initialize ();
printf (TEST_MSG);
basic_tests ();
acos_test ();
acosh_test ();
asin_test ();
asinh_test ();
atan_test ();
atanh_test ();
atan2_test ();
cbrt_test ();
ceil_test ();
cos_test ();
cosh_test ();
exp_test ();
exp2_test ();
expm1_test ();
frexp_test ();
ilogb_test ();
ldexp_test ();
log_test ();
log10_test ();
log1p_test ();
log2_test ();
logb_test ();
modf_test ();
scalb_test ();
scalbn_test ();
sin_test ();
sinh_test ();
tan_test ();
tanh_test ();
fabs_test ();
floor_test ();
fpclassify_test ();
hypot_test ();
pow_test ();
fdim_test ();
fmin_test ();
fmax_test ();
nextafter_test ();
copysign_test ();
sqrt_test ();
trunc_test ();
#if 0
/* XXX I'm not sure what is the correct result. */
remquo_test ();
#endif
cexp_test ();
csin_test ();
csinh_test ();
ccos_test ();
ccosh_test ();
clog_test ();
cacos_test ();
cacosh_test ();
casin_test ();
casinh_test ();
catan_test ();
catanh_test ();
ctanh_test ();
csqrt_test ();
cpow_test ();
rint_test ();
rinttol_test ();
rinttoll_test ();
round_test ();
roundtol_test ();
roundtoll_test ();
identities ();
inverse_functions ();
if (noErrors)
{
printf ("\n%d errors occured.\n", noErrors);
exit (1);
}
printf ("\n All tests passed successfully.\n");
exit (0);
}