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| author | Ulrich Drepper <drepper@redhat.com> | 1999-10-19 06:29:27 +0000 |
|---|---|---|
| committer | Ulrich Drepper <drepper@redhat.com> | 1999-10-19 06:29:27 +0000 |
| commit | 8847214f239965f538e42a09d3d08ce8c700dea2 (patch) | |
| tree | a30f842a83c823affb01fedbe803535f1c2ec2fa /math/libm-test.c | |
| parent | 4dba81eafc9aead81c0644ea64f092bb2185e5b8 (diff) | |
| download | glibc-8847214f239965f538e42a09d3d08ce8c700dea2.tar glibc-8847214f239965f538e42a09d3d08ce8c700dea2.tar.gz glibc-8847214f239965f538e42a09d3d08ce8c700dea2.tar.bz2 glibc-8847214f239965f538e42a09d3d08ce8c700dea2.zip | |
Update.
1999-10-18 Andreas Jaeger <aj@suse.de>
Added improved math testsuite:
* math/libm-test.inc: New file, contains all tests from
libm-test.c but in a different form.
* math/libm-test.c: Removed.
* sysdeps/generic/libm-test-ulps: New file: Fallback ulps file.
* math/gen-libm-test.pl: New file: Preprocessor.
* math/test-double.c: Adopted to new testsuite.
* math/test-idouble.c: Likewise.
* math/test-float.c: Likewise.
* math/test-ifloat.c: Likewise.
* math/test-ldouble.c: Likewise.
* math/test-ildoubl.c: Likewise.
* math/Makefile: Added rules to generate new suite.
Diffstat (limited to 'math/libm-test.c')
| -rw-r--r-- | math/libm-test.c | 6327 |
1 files changed, 0 insertions, 6327 deletions
diff --git a/math/libm-test.c b/math/libm-test.c deleted file mode 100644 index 4c7fe8b7ae..0000000000 --- a/math/libm-test.c +++ /dev/null @@ -1,6327 +0,0 @@ -/* Copyright (C) 1997, 1998, 1999 Free Software Foundation, Inc. - This file is part of the GNU C Library. - Contributed by Andreas Jaeger <aj@arthur.rhein-neckar.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". - PRINTF_XEXPR Like PRINTF_EXPR, but print in hexadecimal format. - */ - -/* This program isn't finished yet. - It has tests for: - acos, acosh, asin, asinh, atan, atan2, atanh, - cbrt, ceil, copysign, cos, cosh, erf, erfc, exp, exp10, exp2, expm1, - fabs, fdim, floor, fma, fmax, fmin, fmod, fpclassify, - frexp, gamma, hypot, - ilogb, isfinite, isinf, isnan, isnormal, - isless, islessequal, isgreater, isgreaterequal, islessgreater, isunordered, - j0, j1, jn, - ldexp, lgamma, log, log10, log1p, log2, logb, - modf, nearbyint, nextafter, - pow, remainder, remquo, rint, lrint, llrint, - round, lround, llround, - scalb, scalbn, signbit, sin, sincos, sinh, sqrt, tan, tanh, tgamma, trunc, - y0, y1, yn - - and for the following complex math functions: - cabs, cacos, cacosh, carg, casin, casinh, catan, catanh, - ccos, ccosh, cexp, clog, cpow, csin, csinh, csqrt, ctan, ctanh. - - At the moment the following functions aren't tested: - conj, cproj, cimag, creal, drem, - significand, - nan - - The routines using random variables are still under construction. I don't - like it the way it's working now and will change it. - - Parameter handling is primitive in the moment: - --verbose=[0..4] for different levels of output: - 0: only error count - 1: basic report on failed tests (default) - 2: full report on failed tests - 3: full report on failed and passed tests - 4: additional report on exceptions - -v for full output (equals --verbose=4) - -s,--silent outputs only the error count (equals --verbose=0) - */ - -/* "Philosophy": - - This suite tests some aspects of the correct implementation of - mathematical functions in libm. Some simple, specific parameters - are tested for correctness but there's no exhaustive - testing. Handling of specific inputs (e.g. infinity, not-a-number) - is also tested. Correct handling of exceptions is checked - against. These implemented tests should check all cases that are - specified in ISO C 9X. - - Exception testing: At the moment only divide-by-zero and invalid - exceptions are tested. Overflow/underflow and inexact exceptions - aren't checked at the moment. - - NaN values: There exist signalling and quiet NaNs. This implementation - only uses signalling NaN as parameter but does not differenciate - between the two kinds of NaNs as result. - - Inline functions: Inlining functions should give an improvement in - speed - but not in precission. The inlined functions return - reasonable values for a reasonable range of input values. The - result is not necessarily correct for all values and exceptions are - not correctly raised in all cases. Problematic input and return - values are infinity, not-a-number and minus zero. This suite - therefore does not check these specific inputs and the exception - handling for inlined mathematical functions - just the "reasonable" - values are checked. - - Beware: The tests might fail for any of the following reasons: - - Tests are wrong - - Functions are wrong - - Floating Point Unit not working properly - - Compiler has errors - - With e.g. gcc 2.7.2.2 the test for cexp fails because of a compiler error. - */ - -#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 <getopt.h> - -/* Possible exceptions */ -#define NO_EXCEPTION 0x0 -#define INVALID_EXCEPTION 0x1 -#define DIVIDE_BY_ZERO_EXCEPTION 0x2 - -#define PRINT 1 -#define NO_PRINT 0 - -/* Various constants (we must supply them precalculated for accuracy). */ -#define M_PI_6l .52359877559829887308L -#define M_E2l 7.389056098930650227230L -#define M_E3l 20.08553692318766774093L - -static int noErrors; /* number of errors */ -static int noTests; /* number of tests (without testing exceptions) */ -static int noExcTests; /* number of tests for exception flags */ - -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; }) - -/* 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 (%d, should be %d)\n", - test_name, sw, old_stack); - ++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); -} - - -static void -output_new_test (const char *test_name) -{ - if (verbose > 2) - printf ("\nTesting: %s\n", test_name); -} - - -static void -output_pass_value (void) -{ - if (verbose > 2) - printf ("Pass: Value Ok.\n"); -} - - -static void -output_fail_value (const char *test_name) -{ - if (verbose > 0 && verbose < 3) - printf ("Fail: %s\n", test_name); - if (verbose >= 3) - printf ("Fail:\n"); -} - - -/* Test whether a given exception was raised. */ -static void -test_single_exception (const char *test_name, - short int exception, - short int exc_flag, - int fe_flag, - const char *flag_name) -{ -#ifndef TEST_INLINE - if (exception & exc_flag) - { - if (fetestexcept (fe_flag)) - { - if (verbose > 3) - printf ("Pass: Exception \"%s\" set\n", flag_name); - } - else - { - if (verbose && verbose < 3) - printf ("Fail: %s: Exception \"%s\" not set\n", - test_name, flag_name); - if (verbose >= 3) - printf ("Fail: Exception \"%s\" not set\n", - flag_name); - ++noErrors; - } - } - else - { - if (fetestexcept (fe_flag)) - { - if (verbose && verbose < 3) - printf ("Fail: %s: Exception \"%s\" set\n", - test_name, flag_name); - if (verbose >= 3) - printf ("Fail: Exception \"%s\" set\n", - flag_name); - ++noErrors; - } - else - { - if (verbose > 3) - printf ("Pass: Exception \"%s\" not set\n", - flag_name); - } - } -#endif -} - - -/* Test whether exception given by EXCEPTION are raised. */ -static void -test_not_exception (const char *test_name, short int exception) -{ - ++noExcTests; -#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) -{ - ++noExcTests; -#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) -{ - int ret_value; - - /* 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); - - - ret_value = (*diff <= eps && - (signbit (computed) == signbit (supplied) || eps != 0.0)); - - /* Make sure the subtraction/comparison - have no influence on the exceptions. */ - feclearexcept (FE_ALL_EXCEPT); - - return ret_value; -} - - -static void -output_result_bool (const char *test_name, int result) -{ - ++noTests; - if (result) - { - output_pass_value (); - } - else - { - output_fail_value (test_name); - if (verbose > 1) - printf (" Value: %d\n", result); - ++noErrors; - } - - fpstack_test (test_name); -} - - -static void -output_isvalue (const char *test_name, int result, - MATHTYPE value) -{ - ++noTests; - if (result) - { - output_pass_value (); - } - else - { - output_fail_value (test_name); - if (verbose > 1) - printf (" Value: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n", - value, value); - ++noErrors; - } - - fpstack_test (test_name); -} - - -static void -output_isvalue_ext (const char *test_name, int result, - MATHTYPE value, MATHTYPE parameter) -{ - ++noTests; - if (result) - { - output_pass_value (); - } - else - { - output_fail_value (test_name); - if (verbose > 1) - { - printf (" Value: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n", - value, value); - printf (" Parameter: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n", - parameter, 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) -{ - ++noTests; - if (result) - { - output_pass_value (); - } - else - { - output_fail_value (test_name); - if (verbose > 1 && print_values) - { - printf ("Result:\n"); - printf (" is: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n", - computed, computed); - printf (" should be: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n", - expected, expected); - if (print_diff) - printf (" difference: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR - "\n", difference, 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) -{ - ++noTests; - if (result) - { - output_pass_value (); - } - else - { - output_fail_value (test_name); - if (verbose > 1 && print_values) - { - printf ("Result:\n"); - printf (" is: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n", - computed, computed); - printf (" should be: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n", - expected, expected); - if (print_diff) - printf (" difference: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR - "\n", difference, difference); - printf ("Parameter: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n", - parameter, parameter); - } - ++noErrors; - } - - fpstack_test (test_name); -} - - -/* check that computed and expected values are the same */ -static void -check (const char *test_name, MATHTYPE computed, MATHTYPE expected) -{ - MATHTYPE diff; - int result; - - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - result = check_equal (computed, expected, 0, &diff); - output_result (test_name, result, - computed, expected, diff, PRINT, PRINT); -} - - -/* check that computed and expected values are the same, - outputs the parameter to the function */ -static void -check_ext (const char *test_name, MATHTYPE computed, MATHTYPE expected, - MATHTYPE parameter) -{ - MATHTYPE diff; - int result; - - output_new_test (test_name); - 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); -} - - -/* check that computed and expected values are the same and - checks also for exception flags */ -static void -check_exc (const char *test_name, MATHTYPE computed, MATHTYPE expected, - short exception) -{ - MATHTYPE diff; - int result; - - output_new_test (test_name); - test_exceptions (test_name, exception); - result = check_equal (computed, expected, 0, &diff); - output_result (test_name, result, - computed, expected, diff, PRINT, PRINT); -} - - -/* check that computed and expected values are close enough */ -static void -check_eps (const char *test_name, MATHTYPE computed, MATHTYPE expected, - MATHTYPE epsilon) -{ - MATHTYPE diff; - int result; - - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - result = check_equal (computed, expected, epsilon, &diff); - output_result (test_name, result, - computed, expected, diff, PRINT, PRINT); -} - - -/* check a boolean condition */ -static void -check_bool (const char *test_name, int computed) -{ - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - output_result_bool (test_name, computed); -} - - -/* check that computed and expected values are equal (int values) */ -static void -check_int (const char *test_name, int computed, int expected) -{ - int diff = computed - expected; - int result = diff == 0; - - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - - if (result) - { - output_pass_value (); - } - else - { - output_fail_value (test_name); - if (verbose > 1) - { - printf ("Result:\n"); - printf (" is: %d\n", computed); - printf (" should be: %d\n", expected); - } - noErrors++; - } - - fpstack_test (test_name); -} - - -/* check that computed and expected values are equal (long int values) */ -static void -check_long (const char *test_name, long int computed, long int expected) -{ - long int diff = computed - expected; - int result = diff == 0; - - ++noTests; - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - - if (result) - { - output_pass_value (); - } - else - { - output_fail_value (test_name); - if (verbose > 1) - { - printf ("Result:\n"); - printf (" is: %ld\n", computed); - printf (" should be: %ld\n", expected); - } - noErrors++; - } - - fpstack_test (test_name); -} - - -/* check that computed and expected values are equal (long long int values) */ -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; - - ++noTests; - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - - if (result) - { - output_pass_value (); - } - else - { - output_fail_value (test_name); - if (verbose > 1) - { - printf ("Result:\n"); - printf (" is: %lld\n", computed); - printf (" should be: %lld\n", expected); - } - noErrors++; - } - - fpstack_test (test_name); -} - - -/* check that computed value is not-a-number */ -static void -check_isnan (const char *test_name, MATHTYPE computed) -{ - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - output_isvalue (test_name, isnan (computed), computed); -} - - -/* check that computed value is not-a-number and test for exceptions */ -static void -check_isnan_exc (const char *test_name, MATHTYPE computed, - short exception) -{ - output_new_test (test_name); - test_exceptions (test_name, exception); - output_isvalue (test_name, isnan (computed), computed); -} - - -/* check that computed value is not-a-number and test for exceptions */ -static void -check_isnan_maybe_exc (const char *test_name, MATHTYPE computed, - short exception) -{ - output_new_test (test_name); - test_not_exception (test_name, exception); - output_isvalue (test_name, isnan (computed), computed); -} - - -/* check that computed value is not-a-number and supply parameter */ -#ifndef TEST_INLINE -static void -check_isnan_ext (const char *test_name, MATHTYPE computed, - MATHTYPE parameter) -{ - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - output_isvalue_ext (test_name, isnan (computed), computed, parameter); -} -#endif - -/* check that computed value is not-a-number, test for exceptions - and supply parameter */ -static void -check_isnan_exc_ext (const char *test_name, MATHTYPE computed, - short exception, MATHTYPE parameter) -{ - output_new_test (test_name); - test_exceptions (test_name, 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) -{ - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - output_isvalue (test_name, (isinf (computed) == +1), computed); -} - - -/* Tests if computed is +Inf and supply parameter */ -static void -check_isinfp_ext (const char *test_name, MATHTYPE computed, - MATHTYPE parameter) -{ - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - output_isvalue_ext (test_name, (isinf (computed) == +1), computed, parameter); -} - - -/* Tests if computed is +Inf and check exceptions */ -static void -check_isinfp_exc (const char *test_name, MATHTYPE computed, - int exception) -{ - output_new_test (test_name); - 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) -{ - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - output_isvalue (test_name, (isinf (computed) == -1), computed); -} - - -/* Tests if computed is -Inf and supply parameter */ -#ifndef TEST_INLINE -static void -check_isinfn_ext (const char *test_name, MATHTYPE computed, - MATHTYPE parameter) -{ - output_new_test (test_name); - test_exceptions (test_name, NO_EXCEPTION); - output_isvalue_ext (test_name, (isinf (computed) == -1), computed, parameter); -} -#endif - -/* Tests if computed is -Inf and check exceptions */ -static void -check_isinfn_exc (const char *test_name, MATHTYPE computed, - int exception) -{ - output_new_test (test_name); - test_exceptions (test_name, exception); - output_isvalue (test_name, (isinf (computed) == -1), computed); -} - - -/* This is to prevent messages from the SVID libm emulation. */ -int -matherr (struct exception *x __attribute__ ((unused))) -{ - return 1; -} - - -/**************************************************************************** - Test for single functions of libm -****************************************************************************/ - -static void -acos_test (void) -{ -#ifndef TEST_INLINE - MATHTYPE x; - - x = random_greater (1); - check_isnan_exc ("acos (x) == NaN plus invalid exception for |x| > 1", - FUNC(acos) (x), - INVALID_EXCEPTION); - - x = random_less (1); - check_isnan_exc ("acos (x) == NaN plus invalid exception for |x| > 1", - FUNC(acos) (x), - INVALID_EXCEPTION); -#endif - check ("acos (0) == pi/2", FUNC(acos) (0), M_PI_2l); - check ("acos (-0) == pi/2", FUNC(acos) (minus_zero), M_PI_2l); - - check ("acos (1) == 0", FUNC(acos) (1), 0); - check ("acos (-1) == pi", FUNC(acos) (-1), M_PIl); - - check_eps ("acos (0.5) == pi/3", FUNC(acos) (0.5), M_PI_6l * 2.0, - CHOOSE (1e-18, 0, 0)); - check_eps ("acos (-0.5) == 2*pi/3", FUNC(acos) (-0.5), M_PI_6l * 4.0, - CHOOSE (1e-17, 0, 0)); - - check_eps ("acos (0.7) == 0.795398830...", FUNC(acos) (0.7), - 0.7953988301841435554L, CHOOSE (7e-17L, 0, 0)); -} - - -static void -acosh_test (void) -{ -#ifndef TEST_INLINE - MATHTYPE x; - - 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); -#endif - - check ("acosh(1) == 0", FUNC(acosh) (1), 0); - check_eps ("acosh(7) == 2.633915793...", FUNC(acosh) (7), - 2.6339157938496334172L, CHOOSE (3e-19, 0, 0)); -} - - -static void -asin_test (void) -{ -#ifndef TEST_INLINE - MATHTYPE x; - - x = random_greater (1); - check_isnan_exc ("asin x == NaN plus invalid exception for |x| > 1", - FUNC(asin) (x), - INVALID_EXCEPTION); - - x = random_less (1); - check_isnan_exc ("asin x == NaN plus invalid exception for |x| > 1", - FUNC(asin) (x), - INVALID_EXCEPTION); -#endif - - check ("asin (0) == 0", FUNC(asin) (0), 0); - check ("asin (-0) == -0", FUNC(asin) (minus_zero), minus_zero); - check_eps ("asin (0.5) == pi/6", FUNC(asin) (0.5), M_PI_6l, - CHOOSE (3.5e-18, 0, 2e-7)); - check_eps ("asin (-0.5) == -pi/6", FUNC(asin) (-0.5), -M_PI_6l, - CHOOSE (3.5e-18, 0, 2e-7)); - check ("asin (1.0) == pi/2", FUNC(asin) (1.0), M_PI_2l); - check ("asin (-1.0) == -pi/2", FUNC(asin) (-1.0), -M_PI_2l); - check_eps ("asin (0.7) == 0.775397496...", FUNC(asin) (0.7), - 0.7753974966107530637L, CHOOSE (7e-17L, 2e-16, 2e-7)); -} - - -static void -asinh_test (void) -{ - check ("asinh(+0) == +0", FUNC(asinh) (0), 0); -#ifndef TEST_INLINE - check ("asinh(-0) == -0", FUNC(asinh) (minus_zero), minus_zero); - check_isinfp ("asinh(+inf) == +inf", FUNC(asinh) (plus_infty)); - check_isinfn ("asinh(-inf) == -inf", FUNC(asinh) (minus_infty)); -#endif - check_eps ("asinh(0.7) == 0.652666566...", FUNC(asinh) (0.7), - 0.652666566082355786L, CHOOSE (4e-17L, 0, 6e-8)); -} - - -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_2l); - check ("atan (-inf) == -pi/2", FUNC(atan) (minus_infty), -M_PI_2l); - - check_eps ("atan (1) == pi/4", FUNC(atan) (1), M_PI_4l, - CHOOSE (1e-18, 0, 0)); - check_eps ("atan (-1) == -pi/4", FUNC(atan) (1), M_PI_4l, - CHOOSE (1e-18, 0, 0)); - - check_eps ("atan (0.7) == 0.610725964...", FUNC(atan) (0.7), - 0.6107259643892086165L, CHOOSE (3e-17L, 0, 0)); -} - - -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_PIl); - - x = -random_greater (0); - check ("atan2 (-0,x) == -pi for x < 0", FUNC(atan2) (minus_zero, x), -M_PIl); - - check ("atan2 (+0,-0) == +pi", FUNC(atan2) (0, minus_zero), M_PIl); - check ("atan2 (-0,-0) == -pi", FUNC(atan2) (minus_zero, minus_zero), -M_PIl); - - x = random_greater (0); - check ("atan2 (y,+0) == pi/2 for y > 0", FUNC(atan2) (x, 0), M_PI_2l); - - x = random_greater (0); - check ("atan2 (y,-0) == pi/2 for y > 0", FUNC(atan2) (x, minus_zero), - M_PI_2l); - - x = random_less (0); - check ("atan2 (y,+0) == -pi/2 for y < 0", FUNC(atan2) (x, 0), -M_PI_2l); - - x = random_less (0); - check ("atan2 (y,-0) == -pi/2 for y < 0", FUNC(atan2) (x, minus_zero), - -M_PI_2l); - - x = random_greater (0); - check ("atan2 (y,inf) == +0 for finite y > 0", - FUNC(atan2) (x, plus_infty), 0); - - x = -random_greater (0); - check ("atan2 (y,inf) == -0 for finite y < 0", - FUNC(atan2) (x, plus_infty), minus_zero); - - x = random_value (-1e4, 1e4); - check ("atan2(+inf, x) == pi/2 for finite x", - FUNC(atan2) (plus_infty, x), M_PI_2l); - - x = random_value (-1e4, 1e4); - check ("atan2(-inf, x) == -pi/2 for finite x", - FUNC(atan2) (minus_infty, x), -M_PI_2l); - - x = random_greater (0); - check ("atan2 (y,-inf) == +pi for finite y > 0", - FUNC(atan2) (x, minus_infty), M_PIl); - - x = -random_greater (0); - check ("atan2 (y,-inf) == -pi for finite y < 0", - FUNC(atan2) (x, minus_infty), -M_PIl); - - check ("atan2 (+inf,+inf) == +pi/4", - FUNC(atan2) (plus_infty, plus_infty), M_PI_4l); - - check ("atan2 (-inf,+inf) == -pi/4", - FUNC(atan2) (minus_infty, plus_infty), -M_PI_4l); - - check ("atan2 (+inf,-inf) == +3*pi/4", - FUNC(atan2) (plus_infty, minus_infty), 3 * M_PI_4l); - - check ("atan2 (-inf,-inf) == -3*pi/4", - FUNC(atan2) (minus_infty, minus_infty), -3 * M_PI_4l); - - /* FIXME: Add some specific tests */ - check_eps ("atan2 (0.7,1) == 0.61072...", FUNC(atan2) (0.7, 1), - 0.6107259643892086165L, CHOOSE (3e-17L, 0, 0)); - check_eps ("atan2 (0.4,0.0003) == 1.57004...", FUNC(atan2) (0.4, 0.0003), - 1.5700463269355215718L, CHOOSE (2e-19L, 0, 1.2e-7)); -} - - -static void -atanh_test (void) -{ -#ifndef TEST_INLINE - MATHTYPE x; -#endif - - check ("atanh(+0) == +0", FUNC(atanh) (0), 0); -#ifndef TEST_INLINE - 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); - - x = random_greater (1.0); - check_isnan_exc_ext ("atanh (x) == NaN plus invalid exception if |x| > 1", - FUNC(atanh) (x), INVALID_EXCEPTION, x); - - x = random_less (1.0); - check_isnan_exc_ext ("atanh (x) == NaN plus invalid exception if |x| > 1", - FUNC(atanh) (x), INVALID_EXCEPTION, x); - -#endif - check_eps ("atanh(0.7) == 0.867300527...", FUNC(atanh) (0.7), - 0.8673005276940531944L, CHOOSE (9e-17L, 2e-16, 0)); -} - - -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); - -#ifndef TEST_INLINE - 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)); -#endif - check_eps ("cbrt (-0.001) == -0.1", FUNC(cbrt) (-0.001), -0.1, - CHOOSE (5e-18L, 0, 0)); - 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, 5e-16, 0)); - check_eps ("cbrt (0.970299) == 0.99", FUNC(cbrt) (0.970299), 0.99, - CHOOSE (2e-17L, 2e-16, 0)); - check_eps ("cbrt (0.7) == .8879040017...", FUNC(cbrt) (0.7), - 0.8879040017426007084L, CHOOSE (2e-17L, 6e-16, 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_PIl), 4.0); - check ("ceil (-pi) == -3", FUNC(ceil) (-M_PIl), -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_6l * 2.0), - 0.5, CHOOSE (4e-18L, 1e-15L, 1e-7L)); - check_eps ("cos (2*pi/3) == -0.5", FUNC(cos) (M_PI_6l * 4.0), - -0.5, CHOOSE (4e-18L, 1e-15L, 1e-7L)); - check_eps ("cos (pi/2) == 0", FUNC(cos) (M_PI_2l), - 0, CHOOSE (1e-19L, 1e-16L, 1e-7L)); - - check_eps ("cos (0.7) == 0.7648421872...", FUNC(cos) (0.7), - 0.7648421872844884262L, CHOOSE (3e-17, 2e-16, 6e-8)); -} - - -static void -cosh_test (void) -{ - check ("cosh (+0) == 1", FUNC(cosh) (0), 1); - check ("cosh (-0) == 1", FUNC(cosh) (minus_zero), 1); - -#ifndef TEST_INLINE - check_isinfp ("cosh (+inf) == +inf", FUNC(cosh) (plus_infty)); - check_isinfp ("cosh (-inf) == +inf", FUNC(cosh) (minus_infty)); -#endif - - check_eps ("cosh (0.7) == 1.2551690056...", FUNC(cosh) (0.7), - 1.255169005630943018L, CHOOSE (4e-17L, 2.3e-16, 0)); -} - - -static void -erf_test (void) -{ - errno = 0; - FUNC(erf) (0); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - - check ("erf (+0) == +0", FUNC(erf) (0), 0); - check ("erf (-0) == -0", FUNC(erf) (minus_zero), minus_zero); - check ("erf (+inf) == +1", FUNC(erf) (plus_infty), 1); - check ("erf (-inf) == -1", FUNC(erf) (minus_infty), -1); - - check_eps ("erf (0.7) == 0.6778011938...", FUNC(erf) (0.7), - 0.67780119383741847297L, CHOOSE (0, 2e-16, 0)); - - check ("erf (1.2) == 0.9103139782...", FUNC(erf) (1.2), - 0.91031397822963538024L); - check ("erf (2.0) == 0.99532...", FUNC(erf) (2.0), - 0.99532226501895273416L); - check ("erf (4.1) == 0.99999...", FUNC(erf) (4.1), - 0.99999999329997234592L); - check ("erf (27) == 1.0", FUNC(erf) (27), - 1.0L); -} - - -static void -erfc_test (void) -{ - errno = 0; - FUNC(erfc) (0); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - - check ("erfc (+inf) == 0", FUNC(erfc) (plus_infty), 0.0); - check ("erfc (-inf) == 2", FUNC(erfc) (minus_infty), 2.0); - check ("erfc (+0) == 1", FUNC(erfc) (0.0), 1.0); - check ("erfc (-0) == 1", FUNC(erfc) (minus_zero), 1.0); - - check_eps ("erfc (0.7) == 0.3221988061...", FUNC(erfc) (0.7), - 0.32219880616258152702L, CHOOSE (0, 6e-17, 0)); - - check_eps ("erfc (1.2) == 0.0896860218...", FUNC(erfc) (1.2), - 0.089686021770364619762L, CHOOSE (0, 0, 8e-9)); - check_eps ("erfc (2.0) == 0.0046777349...", FUNC(erfc) (2.0), - 0.0046777349810472658379L, CHOOSE (0, 9e-19, 0)); - check_eps ("erfc (4.1) == 6.70002...*10^-9", FUNC(erfc) (4.1), - 0.67000276540848983727e-8L, CHOOSE (0, 2e-23, 6e-15)); - check ("erfc (9) == 4.13703...*10^-37", FUNC(erfc) (9), - 0.41370317465138102381e-36L); -} - - -static void -exp_test (void) -{ - check ("exp (+0) == 1", FUNC(exp) (0), 1); - check ("exp (-0) == 1", FUNC(exp) (minus_zero), 1); - -#ifndef TEST_INLINE - check_isinfp ("exp (+inf) == +inf", FUNC(exp) (plus_infty)); - check ("exp (-inf) == 0", FUNC(exp) (minus_infty), 0); -#endif - check_eps ("exp (1) == e", FUNC(exp) (1), M_El, CHOOSE (4e-18L, 0, 0)); - - check_eps ("exp (2) == e^2", FUNC(exp) (2), M_E2l, - CHOOSE (1e-18, 8.9e-16, 0)); - check_eps ("exp (3) == e^3", FUNC(exp) (3), M_E3l, - CHOOSE (1.5e-17, 3.6e-15, 0)); - check_eps ("exp (0.7) == 2.0137527074...", FUNC(exp) (0.7), - 2.0137527074704765216L, CHOOSE (9e-17L, 4.5e-16, 0)); -} - - -static void -exp10_test (void) -{ - errno = 0; - FUNC(exp10) (0); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - - check ("exp10 (+0) == 1", FUNC(exp10) (0), 1); - check ("exp10 (-0) == 1", FUNC(exp10) (minus_zero), 1); - - check_isinfp ("exp10 (+inf) == +inf", FUNC(exp10) (plus_infty)); - check ("exp10 (-inf) == 0", FUNC(exp10) (minus_infty), 0); - check_eps ("exp10 (3) == 1000", FUNC(exp10) (3), 1000, - CHOOSE (5e-16, 7e-13, 2e-4)); - check_eps ("exp10 (-1) == 0.1", FUNC(exp10) (-1), 0.1, - CHOOSE (6e-18, 3e-17, 8e-09)); - check_isinfp ("exp10 (1e6) == +inf", FUNC(exp10) (1e6)); - check ("exp10 (-1e6) == 0", FUNC(exp10) (-1e6), 0); - check_eps ("exp10 (0.7) == 5.0118723...", FUNC(exp10) (0.7), - 5.0118723362727228500L, CHOOSE (6e-16, 9e-16, 5e-7)); -} - - -static void -exp2_test (void) -{ - errno = 0; - FUNC(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); - check ("exp2 (-1) == 0.5", FUNC(exp2) (-1), 0.5); - check_isinfp ("exp2 (1e6) == +inf", FUNC(exp2) (1e6)); - check ("exp2 (-1e6) == 0", FUNC(exp2) (-1e6), 0); - check_eps ("exp2 (0.7) == 1.6245047927...", FUNC(exp2) (0.7), - 1.6245047927124710452L, CHOOSE (6e-17L, 0, 1.2e-7)); -} - - -static void -expm1_test (void) -{ - check ("expm1 (+0) == 0", FUNC(expm1) (0), 0); -#ifndef TEST_INLINE - 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); -#endif - - check_eps ("expm1 (1) == e-1", FUNC(expm1) (1), M_El - 1.0, - CHOOSE (4e-18L, 0, 2e-7)); - - check_eps ("expm1 (0.7) == 1.01375...", FUNC(expm1) (0.7), - 1.0137527074704765216L, CHOOSE (9e-17L, 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 %.20" - PRINTF_XEXPR "*2^%d\n", - computed, comp_int, computed, comp_int); - printf (" should be: %.20" PRINTF_EXPR " *2^%d %.20" - PRINTF_XEXPR "*2^%d\n", - expected, exp_int, expected, exp_int); - printf (" difference: %.20" PRINTF_EXPR " %.20" PRINTF_XEXPR "\n", - diff, 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); -} - - -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 -isfinite_test (void) -{ - check_bool ("isfinite (0) != 0", isfinite (0)); - check_bool ("isfinite (-0) != 0", isfinite (minus_zero)); - check_bool ("isfinite (10) != 0", isfinite (10)); - check_bool ("isfinite (+inf) == 0", isfinite (plus_infty) == 0); - check_bool ("isfinite (-inf) == 0", isfinite (minus_infty) == 0); - check_bool ("isfinite (NaN) == 0", isfinite (nan_value) == 0); -} - - -static void -isnormal_test (void) -{ - check_bool ("isnormal (0) == 0", isnormal (0) == 0); - check_bool ("isnormal (-0) == 0", isnormal (minus_zero) == 0); - check_bool ("isnormal (10) != 0", isnormal (10)); - check_bool ("isnormal (+inf) == 0", isnormal (plus_infty) == 0); - check_bool ("isnormal (-inf) == 0", isnormal (minus_infty) == 0); - check_bool ("isnormal (NaN) == 0", isnormal (nan_value) == 0); -} - - -static void -signbit_test (void) -{ - MATHTYPE x; - - check_bool ("signbit (+0) == 0", signbit (0) == 0); - check_bool ("signbit (-0) != 0", signbit (minus_zero)); - check_bool ("signbit (+inf) == 0", signbit (plus_infty) == 0); - check_bool ("signbit (-inf) != 0", signbit (minus_infty)); - - x = random_less (0); - check_bool ("signbit (x) != 0 for x < 0", signbit (x)); - - x = random_greater (0); - check_bool ("signbit (x) == 0 for x > 0", signbit (x) == 0); -} - - -static void -gamma_test (void) -{ - errno = 0; - FUNC(gamma) (1); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - feclearexcept (FE_ALL_EXCEPT); - - - check_isinfp ("gamma (+inf) == +inf", FUNC(gamma) (plus_infty)); - check_isinfp_exc ("gamma (0) == +inf plus divide by zero exception", - FUNC(gamma) (0), DIVIDE_BY_ZERO_EXCEPTION); - - check_isinfp_exc ("gamma (x) == +inf plus divide by zero exception for integer x <= 0", - FUNC(gamma) (-3), DIVIDE_BY_ZERO_EXCEPTION); - check_isnan_exc ("gamma (-inf) == NaN plus invalid exception", - FUNC(gamma) (minus_infty), INVALID_EXCEPTION); - - signgam = 0; - check ("gamma (1) == 0", FUNC(gamma) (1), 0); - check_int ("gamma (1) sets signgam to 1", signgam, 1); - - signgam = 0; - check ("gamma (3) == M_LN2", FUNC(gamma) (3), M_LN2l); - check_int ("gamma (3) sets signgam to 1", signgam, 1); - - signgam = 0; - check_eps ("gamma (0.5) == log(sqrt(pi))", FUNC(gamma) (0.5), - FUNC(log) (FUNC(sqrt) (M_PIl)), CHOOSE (0, 1e-15, 1e-7)); - check_int ("gamma (0.5) sets signgam to 1", signgam, 1); - - signgam = 0; - check_eps ("gamma (-0.5) == log(2*sqrt(pi))", FUNC(gamma) (-0.5), - FUNC(log) (2*FUNC(sqrt) (M_PIl)), CHOOSE (0, 1e-15, 0)); - - check_int ("gamma (-0.5) sets signgam to -1", signgam, -1); -} - - -static void -tgamma_test (void) -{ - errno = 0; - FUNC(tgamma) (1); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - feclearexcept (FE_ALL_EXCEPT); - - check_isinfp ("tgamma (+inf) == +inf", FUNC(tgamma) (plus_infty)); - check_isnan_exc ("tgamma (0) == NaN plus invalid exception", - FUNC(tgamma) (0), INVALID_EXCEPTION); - - check_isnan_exc_ext ("tgamma (x) == NaN plus invalid exception for integer x <= 0", - FUNC(tgamma) (-2), INVALID_EXCEPTION, -2); - check_isnan_exc ("tgamma (-inf) == NaN plus invalid exception", - FUNC(tgamma) (minus_infty), INVALID_EXCEPTION); - - check_eps ("tgamma (0.5) == sqrt(pi)", FUNC(tgamma) (0.5), - FUNC(sqrt) (M_PIl), CHOOSE (0, 5e-16, 2e-7)); - check_eps ("tgamma (-0.5) == -2*sqrt(pi)", FUNC(tgamma) (-0.5), - -2*FUNC(sqrt) (M_PIl), CHOOSE (0, 5e-16, 3e-7)); - - check ("tgamma (1) == 1", FUNC(tgamma) (1), 1); - check_eps ("tgamma (4) == 6", FUNC(tgamma) (4), 6, CHOOSE (0, 8.9e-16, 0)); - - check_eps ("tgamma (0.7) == 1.29805...", FUNC(tgamma) (0.7), - 1.29805533264755778568L, CHOOSE (0, 3e-16, 2e-7)); - check_eps ("tgamma (1.2) == 0.91816...", FUNC(tgamma) (1.2), - 0.91816874239976061064L, CHOOSE (0, 1.2e-16, 0)); -} - - -static void -lgamma_test (void) -{ - errno = 0; - FUNC(lgamma) (0); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - feclearexcept (FE_ALL_EXCEPT); - - check_isinfp ("lgamma (+inf) == +inf", FUNC(lgamma) (plus_infty)); - check_isinfp_exc ("lgamma (0) == +inf plus divide by zero exception", - FUNC(lgamma) (0), DIVIDE_BY_ZERO_EXCEPTION); - - check_isinfp_exc ("lgamma (x) == +inf plus divide by zero exception for integer x <= 0", - FUNC(lgamma) (-3), DIVIDE_BY_ZERO_EXCEPTION); - check_isnan_exc ("lgamma (-inf) == NaN plus invalid exception", - FUNC(lgamma) (minus_infty), INVALID_EXCEPTION); - - signgam = 0; - check ("lgamma (1) == 0", FUNC(lgamma) (1), 0); - check_int ("lgamma (0) sets signgam to 1", signgam, 1); - - signgam = 0; - check ("lgamma (3) == M_LN2", FUNC(lgamma) (3), M_LN2l); - check_int ("lgamma (3) sets signgam to 1", signgam, 1); - - signgam = 0; - check_eps ("lgamma (0.5) == log(sqrt(pi))", FUNC(lgamma) (0.5), - FUNC(log) (FUNC(sqrt) (M_PIl)), CHOOSE (0, 1e-15, 1e-7)); - check_int ("lgamma (0.5) sets signgam to 1", signgam, 1); - - signgam = 0; - check_eps ("lgamma (-0.5) == log(2*sqrt(pi))", FUNC(lgamma) (-0.5), - FUNC(log) (2*FUNC(sqrt) (M_PIl)), CHOOSE (0, 1e-15, 0)); - - check_int ("lgamma (-0.5) sets signgam to -1", signgam, -1); - - signgam = 0; - check_eps ("lgamma (0.7) == 0.26086...", FUNC(lgamma) (0.7), - 0.26086724653166651439L, CHOOSE (0, 6e-17, 3e-8)); - check_int ("lgamma (0.7) sets signgam to 1", signgam, 1); - - signgam = 0; - check_eps ("lgamma (1.2) == -0.08537...", FUNC(lgamma) (1.2), - -0.853740900033158497197e-1L, CHOOSE (0, 2e-17, 2e-8)); - check_int ("lgamma (1.2) sets signgam to 1", signgam, 1); -} - - -static void -ilogb_test (void) -{ - int i; - - check_int ("ilogb (1) == 0", FUNC(ilogb) (1), 0); - check_int ("ilogb (e) == 1", FUNC(ilogb) (M_El), 1); - check_int ("ilogb (1024) == 10", FUNC(ilogb) (1024), 10); - check_int ("ilogb (-2000) == 10", FUNC(ilogb) (-2000), 10); - - /* XXX We have a problem here: the standard does not tell us whether - exceptions are allowed/required. ignore them for now. */ - i = FUNC(ilogb) (0.0); - feclearexcept (FE_ALL_EXCEPT); - check_int ("ilogb (0) == FP_ILOGB0", i, FP_ILOGB0); - i = FUNC(ilogb) (nan_value); - feclearexcept (FE_ALL_EXCEPT); - check_int ("ilogb (NaN) == FP_ILOGBNAN", i, FP_ILOGBNAN); -} - - -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_El), 1, CHOOSE (1e-18L, 0, 9e-8L)); - check_eps ("log (1/e) == -1", FUNC(log) (1.0 / M_El), -1, - CHOOSE (2e-18L, 0, 0)); - check_eps ("log (2) == M_LN2", FUNC(log) (2), M_LN2l, - CHOOSE (6e-20L, 0, 0)); - check_eps ("log (10) == M_LN10", FUNC(log) (10), M_LN10l, - CHOOSE (1e-18L, 0, 0)); - check_eps ("log (0.7) == -0.3566749439...", FUNC(log) (0.7), - -0.35667494393873237891L, CHOOSE (7e-17L, 6e-17, 3e-8)); -} - - -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_El), M_LOG10El, - CHOOSE (1e-18, 0, 9e-8)); - check_eps ("log10 (0.7) == -0.1549019599...", FUNC(log10) (0.7), - -0.15490195998574316929L, CHOOSE (3e-17L, 3e-17, 2e-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_El - 1.0), 1, - CHOOSE (1e-18L, 0, 6e-8)); - - check_eps ("log1p (-0.3) == -0.35667...", FUNC(log1p) (-0.3), - -0.35667494393873237891L, CHOOSE (2e-17L, 6e-17, 3e-8)); -} - - -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_El), M_LOG2El, - 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); - check_eps ("log2 (0.7) == -0.5145731728...", FUNC(log2) (0.7), - -0.51457317282975824043L, CHOOSE (1e-16L, 2e-16, 6e-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_El), 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) (1.5, &intpart); - check ("modf (1.5, &x) returns 0.5", result, 0.5); - check ("modf (1.5, &x) sets x to 1", intpart, 1); - - 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); - - result = FUNC(modf) (20, &intpart); - check ("modf (20, &x) returns 0", result, 0); - check ("modf (20, &x) sets x to 20", intpart, 20); - - result = FUNC(modf) (21, &intpart); - check ("modf (21, &x) returns 0", result, 0); - check ("modf (21, &x) sets x to 21", intpart, 21); - - result = FUNC(modf) (89.6, &intpart); - check_eps ("modf (89.6, &x) returns 0.6", result, 0.6, - CHOOSE (6e-15L, 6e-15, 2e-6)); - check ("modf (89.6, &x) sets x to 89", intpart, 89); -} - - -static void -scalb_test (void) -{ - MATHTYPE x; - - check_isnan ("scalb (2, 0.5) == NaN", FUNC(scalb) (2, 0.5)); - check_isnan ("scalb (3, -2.5) == NaN", FUNC(scalb) (3, -2.5)); - - check_isnan ("scalb (0, NaN) == NaN", FUNC(scalb) (0, nan_value)); - check_isnan ("scalb (1, NaN) == NaN", FUNC(scalb) (1, nan_value)); - - x = random_greater (0.0); - check ("scalb (x, 0) == 0", FUNC(scalb) (x, 0), x); - x = random_greater (0.0); - check ("scalb (-x, 0) == 0", FUNC(scalb) (-x, 0), -x); - - check_isnan_exc ("scalb (+0, +inf) == NaN plus invalid exception", - FUNC(scalb) (0, plus_infty), INVALID_EXCEPTION); - check_isnan_exc ("scalb (-0, +inf) == NaN plus invalid exception", - FUNC(scalb) (minus_zero, plus_infty), INVALID_EXCEPTION); - - check ("scalb (+0, 2) == +0", FUNC(scalb) (0, 2), 0); - check ("scalb (-0, 4) == -0", FUNC(scalb) (minus_zero, -4), minus_zero); - check ("scalb (+0, 0) == +0", FUNC(scalb) (0, 0), 0); - check ("scalb (-0, 0) == -0", FUNC(scalb) (minus_zero, 0), minus_zero); - check ("scalb (+0, -1) == +0", FUNC(scalb) (0, -1), 0); - check ("scalb (-0, -10) == -0", FUNC(scalb) (minus_zero, -10), minus_zero); - check ("scalb (+0, -inf) == +0", FUNC(scalb) (0, minus_infty), 0); - check ("scalb (-0, -inf) == -0", FUNC(scalb) (minus_zero, minus_infty), - minus_zero); - - check_isinfp ("scalb (+inf, -1) == +inf", FUNC(scalb) (plus_infty, -1)); - check_isinfn ("scalb (-inf, -10) == -inf", FUNC(scalb) (minus_infty, -10)); - check_isinfp ("scalb (+inf, 0) == +inf", FUNC(scalb) (plus_infty, 0)); - check_isinfn ("scalb (-inf, 0) == -inf", FUNC(scalb) (minus_infty, 0)); - check_isinfp ("scalb (+inf, 2) == +inf", FUNC(scalb) (plus_infty, 2)); - check_isinfn ("scalb (-inf, 100) == -inf", FUNC(scalb) (minus_infty, 100)); - - x = random_greater (0.0); - check ("scalb (x, -inf) == 0", FUNC(scalb) (x, minus_infty), 0.0); - check ("scalb (-x, -inf) == -0", FUNC(scalb) (-x, minus_infty), minus_zero); - - x = random_greater (0.0); - check_isinfp ("scalb (x, +inf) == +inf", FUNC(scalb) (x, plus_infty)); - x = random_greater (0.0); - check_isinfn ("scalb (-x, +inf) == -inf", FUNC(scalb) (-x, plus_infty)); - check_isinfp ("scalb (+inf, +inf) == +inf", - FUNC(scalb) (plus_infty, plus_infty)); - check_isinfn ("scalb (-inf, +inf) == -inf", - FUNC(scalb) (minus_infty, plus_infty)); - - check_isnan ("scalb (+inf, -inf) == NaN", - FUNC(scalb) (plus_infty, minus_infty)); - check_isnan ("scalb (-inf, -inf) == NaN", - FUNC(scalb) (minus_infty, minus_infty)); - - check_isnan ("scalb (NaN, 1) == NaN", FUNC(scalb) (nan_value, 1)); - check_isnan ("scalb (1, NaN) == NaN", FUNC(scalb) (1, nan_value)); - check_isnan ("scalb (NaN, 0) == NaN", FUNC(scalb) (nan_value, 0)); - check_isnan ("scalb (0, NaN) == NaN", FUNC(scalb) (0, nan_value)); - check_isnan ("scalb (NaN, +inf) == NaN", - FUNC(scalb) (nan_value, plus_infty)); - check_isnan ("scalb (+inf, NaN) == NaN", - FUNC(scalb) (plus_infty, nan_value)); - check_isnan ("scalb (NaN, NaN) == NaN", FUNC(scalb) (nan_value, nan_value)); - - 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); -} - - -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_6l), - 0.5, CHOOSE (4e-18L, 0, 0)); - check_eps ("sin (-pi/6) == -0.5", FUNC(sin) (-M_PI_6l), - -0.5, CHOOSE (4e-18L, 0, 0)); - check ("sin (pi/2) == 1", FUNC(sin) (M_PI_2l), 1); - check ("sin (-pi/2) == -1", FUNC(sin) (-M_PI_2l), -1); - check_eps ("sin (0.7) == 0.6442176872...", FUNC(sin) (0.7), - 0.64421768723769105367L, CHOOSE (4e-17L, 0, 0)); -} - - -static void -sinh_test (void) -{ - check ("sinh (+0) == +0", FUNC(sinh) (0), 0); - -#ifndef TEST_INLINE - 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)); -#endif - - check_eps ("sinh (0.7) == 0.7585837018...", FUNC(sinh) (0.7), - 0.75858370183953350346L, CHOOSE (6e-17L, 2e-16, 6e-8)); -} - - -static void -sincos_test (void) -{ - MATHTYPE sin_res, cos_res; - fenv_t fenv; - - FUNC(sincos) (0, &sin_res, &cos_res); - fegetenv (&fenv); - check ("sincos (+0, &sin, &cos) puts +0 in sin", sin_res, 0); - fesetenv (&fenv); - check ("sincos (+0, &sin, &cos) puts 1 in cos", cos_res, 1); - - FUNC(sincos) (minus_zero, &sin_res, &cos_res); - fegetenv (&fenv); - check ("sincos (-0, &sin, &cos) puts -0 in sin", sin_res, minus_zero); - fesetenv (&fenv); - check ("sincos (-0, &sin, &cos) puts 1 in cos", cos_res, 1); - - FUNC(sincos) (plus_infty, &sin_res, &cos_res); - fegetenv (&fenv); - check_isnan_exc ("sincos (+inf, &sin, &cos) puts NaN in sin plus invalid exception", - sin_res, INVALID_EXCEPTION); - fesetenv (&fenv); - check_isnan_exc ("sincos (+inf, &sin, &cos) puts NaN in cos plus invalid exception", - cos_res, INVALID_EXCEPTION); - - FUNC(sincos) (minus_infty, &sin_res, &cos_res); - fegetenv (&fenv); - check_isnan_exc ("sincos (-inf,&sin, &cos) puts NaN in sin plus invalid exception", - sin_res, INVALID_EXCEPTION); - fesetenv (&fenv); - check_isnan_exc ("sincos (-inf,&sin, &cos) puts NaN in cos plus invalid exception", - cos_res, INVALID_EXCEPTION); - - FUNC(sincos) (M_PI_2l, &sin_res, &cos_res); - fegetenv (&fenv); - check ("sincos (pi/2, &sin, &cos) puts 1 in sin", sin_res, 1); - fesetenv (&fenv); - check_eps ("sincos (pi/2, &sin, &cos) puts 0 in cos", cos_res, 0, - CHOOSE (1e-18L, 1e-16, 1e-7)); - - FUNC(sincos) (M_PI_6l, &sin_res, &cos_res); - check_eps ("sincos (pi/6, &sin, &cos) puts 0.5 in sin", sin_res, 0.5, - CHOOSE (5e-18L, 0, 0)); - - FUNC(sincos) (M_PI_6l*2.0, &sin_res, &cos_res); - check_eps ("sincos (pi/3, &sin, &cos) puts 0.5 in cos", cos_res, 0.5, - CHOOSE (5e-18L, 1e-15, 1e-7)); - - FUNC(sincos) (0.7, &sin_res, &cos_res); - check_eps ("sincos (0.7, &sin, &cos) puts 0.6442176872... in sin", sin_res, - 0.64421768723769105367L, CHOOSE (4e-17L, 0, 0)); - check_eps ("sincos (0.7, &sin, &cos) puts 0.7648421872... in cos", cos_res, - 0.76484218728448842626L, CHOOSE (3e-17L, 2e-16, 6e-8)); -} - - -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_4l), 1, - CHOOSE (2e-18L, 1e-15L, 2e-7)); - check_eps ("tan (0.7) == 0.8422883804...", FUNC(tan) (0.7), - 0.84228838046307944813L, CHOOSE (8e-17L, 0, 0)); -} - - -static void -tanh_test (void) -{ - check ("tanh (+0) == +0", FUNC(tanh) (0), 0); -#ifndef TEST_INLINE - 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); -#endif - check_eps ("tanh (0.7) == 0.6043677771...", FUNC(tanh) (0.7), - 0.60436777711716349631L, CHOOSE (3e-17L, 2e-16, 6e-8)); -} - - -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_El), M_El); -} - - -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_PIl), 3.0); - check ("floor (-pi) == -4", FUNC(floor) (-M_PIl), -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); - -#ifndef TEST_INLINE - check_isinfp ("hypot (+inf, NaN) == +inf", FUNC(hypot) (plus_infty, nan_value)); - check_isinfp ("hypot (-inf, NaN) == +inf", FUNC(hypot) (minus_infty, nan_value)); -#endif - - 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); - - check_eps ("hypot (0.7,1.2) == 1.38924...", FUNC(hypot) (0.7, 1.2), - 1.3892443989449804508L, CHOOSE (7e-17L, 3e-16, 0)); -} - - -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); - -#ifndef TEST_INLINE - 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); -#endif - - check ("pow (+0, 1) == +0", FUNC(pow) (0, 1), 0); - check ("pow (+0, 11) == +0", FUNC(pow) (0, 11), 0); -#ifndef TEST_INLINE - check ("pow (-0, 1) == -0", FUNC(pow) (minus_zero, 1), minus_zero); - check ("pow (-0, 11) == -0", FUNC(pow) (minus_zero, 11), minus_zero); -#endif - - check ("pow (+0, 2) == +0", FUNC(pow) (0, 2), 0); - check ("pow (+0, 11.1) == +0", FUNC(pow) (0, 11.1), 0); - -#ifndef TEST_INLINE - 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); -#endif - - 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); -#ifndef TEST_INLINE - 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); -#endif - - 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); - - check_eps ("pow (0.7, 1.2) == 0.65180...", FUNC(pow) (0.7, 1.2), - 0.65180494056638638188L, CHOOSE (4e-17L, 0, 0)); - -#ifdef TEST_DOUBLE - check ("pow (-7.49321e+133, -9.80818e+16) == 0", - FUNC(pow) (-7.49321e+133, -9.80818e+16), 0); -#endif -} - - -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) = 0", 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 -fmod_test (void) -{ - MATHTYPE x; - - x = random_greater (0); - check_ext ("fmod (+0, y) == +0 for y != 0", FUNC(fmod) (0, x), 0, x); - - x = random_greater (0); - check_ext ("fmod (-0, y) == -0 for y != 0", FUNC(fmod) (minus_zero, x), - minus_zero, x); - - check_isnan_exc_ext ("fmod (+inf, y) == NaN plus invalid exception", - FUNC(fmod) (plus_infty, x), INVALID_EXCEPTION, x); - check_isnan_exc_ext ("fmod (-inf, y) == NaN plus invalid exception", - FUNC(fmod) (minus_infty, x), INVALID_EXCEPTION, x); - check_isnan_exc_ext ("fmod (x, +0) == NaN plus invalid exception", - FUNC(fmod) (x, 0), INVALID_EXCEPTION, x); - check_isnan_exc_ext ("fmod (x, -0) == NaN plus invalid exception", - FUNC(fmod) (x, minus_zero), INVALID_EXCEPTION, x); - - x = random_greater (0); - check_ext ("fmod (x, +inf) == x for x not infinite", - FUNC(fmod) (x, plus_infty), x, x); - x = random_greater (0); - check_ext ("fmod (x, -inf) == x for x not infinite", - FUNC(fmod) (x, minus_infty), x, x); - - check_eps ("fmod (6.5, 2.3) == 1.9", FUNC(fmod) (6.5, 2.3), 1.9, - CHOOSE (5e-16, 1e-15, 2e-7)); - check_eps ("fmod (-6.5, 2.3) == -1.9", FUNC(fmod) (-6.5, 2.3), -1.9, - CHOOSE (5e-16, 1e-15, 2e-7)); - check_eps ("fmod (6.5, -2.3) == 1.9", FUNC(fmod) (6.5, -2.3), 1.9, - CHOOSE (5e-16, 1e-15, 2e-7)); - check_eps ("fmod (-6.5, -2.3) == -1.9", FUNC(fmod) (-6.5, -2.3), -1.9, - CHOOSE (5e-16, 1e-15, 2e-7)); -} - - -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)); - - check ("sqrt (-0) == -0", FUNC(sqrt) (0), 0); - - x = random_less (0.0); - check_isnan_exc_ext ("sqrt (x) == NaN plus invalid exception for x < 0", - FUNC(sqrt) (x), INVALID_EXCEPTION, x); - - 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); - check ("sqrt (2) == 1.14142...", FUNC(sqrt) (2), M_SQRT2l); - check ("sqrt (0.25) == 0.5", FUNC(sqrt) (0.25), 0.5); - check ("sqrt (6642.25) == 81.5", FUNC(sqrt) (6642.25), 81.5); - check_eps ("sqrt (15239.903) == 123.45", FUNC(sqrt) (15239.903), 123.45, - CHOOSE (3e-6L, 3e-6, 8e-6)); - check_eps ("sqrt (0.7) == 0.8366600265", FUNC(sqrt) (0.7), - 0.83666002653407554798L, CHOOSE (3e-17L, 0, 0)); -} - - -static void -remainder_test (void) -{ - MATHTYPE result; - - result = FUNC(remainder) (1, 0); - check_isnan_exc ("remainder(1, +0) == NaN plus invalid exception", - result, INVALID_EXCEPTION); - - result = FUNC(remainder) (1, minus_zero); - check_isnan_exc ("remainder(1, -0) == NaN plus invalid exception", - result, INVALID_EXCEPTION); - - result = FUNC(remainder) (plus_infty, 1); - check_isnan_exc ("remainder(+inf, 1) == NaN plus invalid exception", - result, INVALID_EXCEPTION); - - result = FUNC(remainder) (minus_infty, 1); - check_isnan_exc ("remainder(-inf, 1) == NaN plus invalid exception", - result, INVALID_EXCEPTION); - - result = FUNC(remainder) (1.625, 1.0); - check ("remainder(1.625, 1.0) == -0.375", result, -0.375); - - result = FUNC(remainder) (-1.625, 1.0); - check ("remainder(-1.625, 1.0) == 0.375", result, 0.375); - - result = FUNC(remainder) (1.625, -1.0); - check ("remainder(1.625, -1.0) == -0.375", result, -0.375); - - result = FUNC(remainder) (-1.625, -1.0); - check ("remainder(-1.625, -1.0) == 0.375", result, 0.375); - - result = FUNC(remainder) (5.0, 2.0); - check ("remainder(5.0, 2.0) == 1.0", result, 1.0); - - result = FUNC(remainder) (3.0, 2.0); - check ("remainder(3.0, 2.0) == -1.0", result, -1.0); -} - - -static void -remquo_test (void) -{ - int quo; - MATHTYPE result; - - result = FUNC(remquo) (1, 0, &quo); - check_isnan_exc ("remquo(1, +0, &x) == NaN plus invalid exception", - result, INVALID_EXCEPTION); - - result = FUNC(remquo) (1, minus_zero, &quo); - check_isnan_exc ("remquo(1, -0, &x) == NaN plus invalid exception", - result, INVALID_EXCEPTION); - - result = FUNC(remquo) (plus_infty, 1, &quo); - check_isnan_exc ("remquo(+inf, 1, &x) == NaN plus invalid exception", - result, INVALID_EXCEPTION); - - result = FUNC(remquo) (minus_infty, 1, &quo); - check_isnan_exc ("remquo(-inf, 1, &x) == NaN plus invalid exception", - result, INVALID_EXCEPTION); - - 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 2 in x", quo, 2); - - 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 -2 in x", quo, -2); - - 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 -2 in x", quo, -2); - - 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 2 in x", quo, 2); - - result = FUNC(remquo) (5.0, 2.0, &quo); - check ("remquo(5.0, 2.0, &x) == 1.0", result, 1.0); - check_long ("remquo (5.0, 2.0, &x) puts 2 in x", quo, 2); - - result = FUNC(remquo) (3.0, 2.0, &quo); - check ("remquo(3.0, 2.0, &x) == -1.0", result, -1.0); - check_long ("remquo (3.0, 2.0, &x) puts 2 in x", quo, 2); -} - - -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); - - result = FUNC(cexp) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(cexp(0.7 + i 1.2)) == 0.72969...", __real__ result, - 0.7296989091503236012L, CHOOSE (6e-17L, 2e-16, 2e-7)); - check_eps ("imag(cexp(0.7 + i 1.2)) == 1.87689...", __imag__ result, - 1.8768962328348102821L, CHOOSE (2e-16L, 4.5e-16, 3e-7)); - - result = FUNC(cexp) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(cexp(-2 - i 3)) == -0.13398...", __real__ result, - -0.1339809149295426134L, CHOOSE (6.8e-20L, 2.8e-17, 2e-8)); - check_eps ("imag(cexp(-2 - i 3)) == -0.01909...", __imag__ result, - -0.0190985162611351964L, CHOOSE (4e-20L, 3.5e-18, 2e-9)); -} - - -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); - - result = FUNC(csin) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(csin(0.7 + i 1.2)) = 1.166456341...", __real__ result, - 1.1664563419657581376L, CHOOSE (2e-16L, 2.3e-16, 0)); - check_eps ("imag(csin(0.7 + i 1.2)) = 1.154499724...", __imag__ result, - 1.1544997246948547371L, CHOOSE (2e-17L, 0, 2e-7)); - - result = FUNC(csin) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(csin(-2 - i 3)) == -9.15449...", __real__ result, - -9.1544991469114295734L, CHOOSE (4e-18L, 1.8e-15, 1e-6)); - check_eps ("imag(csin(-2 - i 3)) == -4.16890...", __imag__ result, - 4.1689069599665643507L, CHOOSE (2e-17L, 0, 5e-7)); -} - - -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); - - result = FUNC(csinh) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(csinh(0.7 + i 1.2)) = 0.274878686...", __real__ result, - 0.27487868678117583582L, CHOOSE (2e-17L, 6e-17, 3e-8)); - check_eps ("imag(csinh(0.7 + i 1.2)) = 1.169866572...", __imag__ result, - 1.1698665727426565139L, CHOOSE (6e-17L, 2.3e-16, 2e-7)); - - result = FUNC(csinh) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(csinh(-2 - i 3)) == -3.59056...", __real__ result, - 3.5905645899857799520L, CHOOSE (7e-19L, 5e-16, 3e-7)); - check_eps ("imag(csinh(-2 - i 3)) == -0.53092...", __imag__ result, - -0.5309210862485198052L, CHOOSE (3e-19L, 2e-16, 6e-8)); -} - - -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, minus_zero); - 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, 0.0); - 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, minus_zero); - 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, 0.0); - 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_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_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_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_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); - - result = FUNC(ccos) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(ccos(0.7 + i 1.2)) = 1.384865764...", __real__ result, - 1.3848657645312111080L, CHOOSE (4e-18L, 3e-16, 2e-7)); - check_eps ("imag(ccos(0.7 + i 1.2)) = -0.972421703...", __imag__ result, - -0.97242170335830028619L, CHOOSE (2e-16L, 2e-16, 0)); - - result = FUNC(ccos) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(ccos(-2 - i 3)) == -4.18962...", __real__ result, - -4.1896256909688072301L, CHOOSE (2e-17L, 8.9e-16, 5e-7)); - check_eps ("imag(ccos(-2 - i 3)) == -9.10922...", __imag__ result, - -9.1092278937553365979L, CHOOSE (3e-18L, 0, 1e-6)); -} - - -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, minus_zero); - 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, 0.0); - - 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, minus_zero); - 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, 0.0); - - 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_isinfp ("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_isinfn ("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); - - result = FUNC(ccosh) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(ccosh(0.7 + i 1.2)) == 0.45482...", __real__ result, - 0.4548202223691477654L, CHOOSE (5e-17L, 6e-17, 9e-8)); - check_eps ("imag(ccosh(0.7 + i 1.2)) == 0.70702...", __imag__ result, - 0.7070296600921537682L, CHOOSE (7e-17L, 2e-16, 6e-8)); - - result = FUNC(ccosh) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(ccosh(-2 - i 3)) == -3.72454...", __real__ result, - -3.7245455049153225654L, CHOOSE (7e-19L, 4.5e-16, 3e-7)); - check_eps ("imag(ccosh(-2 - i 3)) == -0.51182...", __imag__ result, - 0.5118225699873846088L, CHOOSE (3e-19L, 2e-16, 6e-8)); -} - - -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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_PIl - M_PI_4l); - 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_PIl - M_PI_4l); - 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_4l); - 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_4l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_PIl); - 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_PIl); - 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_PIl); - 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_PIl); - 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_2l); - 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_2l); - 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); - - result = FUNC(cacos) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(cacos(0.7 + i 1.2)) == 1.13518...", __real__ result, - 1.1351827477151551089L, CHOOSE (2e-17L, 3e-16, 2e-7)); - check_eps ("imag(cacos(0.7 + i 1.2)) == -1.09276...", __imag__ result, - -1.0927647857577371459L, CHOOSE (4e-17L, 3e-16, 3e-7)); - - result = FUNC(cacos) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(cacos(-2 - i 3)) == 2.14144...", __real__ result, - 2.1414491111159960199L, CHOOSE (3e-19L, 0, 0)); - check_eps ("imag(cacos(-2 - i 3)) == -1.98338...", __imag__ result, - 1.9833870299165354323L, CHOOSE (3e-19L, 0, 0)); -} - - -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_2l); - 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_2l); - 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_2l); - 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_2l); - - 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_PIl - M_PI_4l); - 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_4l - M_PIl); - - 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_4l); - 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_4l); - - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - - 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_PIl); - 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_PIl); - 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_PIl); - 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_PIl); - - 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); - - result = FUNC(cacosh) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(cacosh(0.7 + i 1.2)) == 1.09276...", __real__ result, - 1.0927647857577371459L, CHOOSE (4e-17L, 3e-16, 2e-7)); - check_eps ("imag(cacosh(0.7 + i 1.2)) == 1.13518...", __imag__ result, - 1.1351827477151551089L, CHOOSE (2e-17L, 0, 1.2e-7)); - - result = FUNC(cacosh) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(cacosh(-2 - i 3)) == -1.98338...", __real__ result, - -1.9833870299165354323L, CHOOSE (2e-18L, 3e-16, 9e-7)); - check_eps ("imag(cacosh(-2 - i 3)) == 2.14144...", __imag__ result, - 2.1414491111159960199L, CHOOSE (4.5e-19, 5e-16, 1e-6)); -} - - -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_4l); - 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_4l); - 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_4l); - 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_4l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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); - - result = FUNC(casin) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(casin(0.7 + i 1.2)) == 0.43561...", __real__ result, - 0.4356135790797415103L, CHOOSE (2e-17L, 2e-16, 2e-7)); - check_eps ("imag(casin(0.7 + i 1.2)) == 1.09276...", __imag__ result, - 1.0927647857577371459L, CHOOSE (4e-17L, 3e-16, 3e-7)); - - result = FUNC(casin) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(casin(-2 - i 3)) == -0.57065...", __real__ result, - -0.5706527843210994007L, CHOOSE (4e-19L, 0, 0)); - check_eps ("imag(casin(-2 - i 3)) == -1.98338...", __imag__ result, - -1.9833870299165354323L, CHOOSE (3e-19L, 0, 0)); -} - - -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_4l); - 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_4l); - 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_4l); - 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_4l); - - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - - 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); - - result = FUNC(casinh) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(casinh(0.7 + i 1.2)) == 0.97865...", __real__ result, - 0.9786545955936738768L, CHOOSE (5e-17L, 2e-16, 0)); - check_eps ("imag(casinh(0.7 + i 1.2)) == 0.91135...", __imag__ result, - 0.9113541895315601156L, CHOOSE (7e-19L, 2e-16, 2e-7)); - - result = FUNC(casinh) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(casinh(-2 - i 3)) == -1.96863...", __real__ result, - -1.9686379257930962917L, CHOOSE (7e-19L, 2e-15, 3e-6)); - check_eps ("imag(casinh(-2 - i 3)) == -0.96465...", __imag__ result, - -0.9646585044076027920L, CHOOSE (4e-19L, 2e-15, 4.5e-7)); -} - - -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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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); - - result = FUNC(catan) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(catan(0.7 + i 1.2)) == 1.07857...", __real__ result, - 1.0785743834118921877L, CHOOSE (3e-17, 0, 5e-7)); - check_eps ("imag(catan(0.7 + i 1.2)) == 0.57705...", __imag__ result, - 0.5770573776534306764L, CHOOSE (3e-17L, 2e-16, 6e-8)); - - result = FUNC(catan) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(catan(-2 - i 3)) == -1.40992...", __real__ result, - -1.4099210495965755225L, CHOOSE (0, 0, 4e-7)); - check_eps ("imag(catan(-2 - i 3)) == -0.22907...", __imag__ result, - -0.2290726829685387662L, CHOOSE (1.1e-19L, 3e-17, 2e-8)); -} - - -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_2l); - 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_2l); - 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_2l); - 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_2l); - - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - - 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_2l); - 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_2l); - 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_2l); - 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_2l); - - 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_2l); - 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_2l); - 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_2l); - 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_2l); - - 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_2l); - 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_2l); - - 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); - - result = FUNC(catanh) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(catanh(0.7 + i 1.2)) == 0.26007...", __real__ result, - 0.2600749516525135959L, CHOOSE (2e-18, 6e-17, 3e-8)); - check_eps ("imag(catanh(0.7 + i 1.2)) == 0.97024...", __imag__ result, - 0.9702403077950989849L, CHOOSE (3e-17, 2e-16, 4e-7)); - - result = FUNC(catanh) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(catanh(-2 - i 3)) == -0.14694...", __real__ result, - -0.1469466662255297520L, CHOOSE (9e-20L, 2e-16, 2e-8)); - check_eps ("imag(catanh(-2 - i 3)) == -1.33897...", __imag__ result, - -1.3389725222944935611L, CHOOSE (7e-19L, 0, 5e-7)); -} - - -static void -ctan_test (void) -{ - __complex__ MATHTYPE result; - - result = FUNC(ctan) (BUILD_COMPLEX (0, 0)); - check ("real(ctan(0 + i0)) = 0", __real__ result, 0); - check ("imag(ctan(0 + i0)) = 0", __imag__ result, 0); - result = FUNC(ctan) (BUILD_COMPLEX (0, minus_zero)); - check ("real(ctan(0 - i0)) = 0", __real__ result, 0); - check ("imag(ctan(0 - i0)) = -0", __imag__ result, minus_zero); - result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, 0)); - check ("real(ctan(-0 + i0)) = -0", __real__ result, minus_zero); - check ("imag(ctan(-0 + i0)) = 0", __imag__ result, 0); - result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, minus_zero)); - check ("real(ctan(-0 - i0)) = -0", __real__ result, minus_zero); - check ("imag(ctan(-0 - i0)) = -0", __imag__ result, minus_zero); - - - result = FUNC(ctan) (BUILD_COMPLEX (0, plus_infty)); - check ("real(ctan(0 + i Inf)) = 0", __real__ result, 0); - check ("imag(ctan(0 + i Inf)) = 1", __imag__ result, 1); - result = FUNC(ctan) (BUILD_COMPLEX (1, plus_infty)); - check ("real(ctan(1 + i Inf)) = 0", __real__ result, 0); - check ("imag(ctan(1 + i Inf)) = 1", __imag__ result, 1); - result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, plus_infty)); - check ("real(ctan(-0 + i Inf)) = -0", __real__ result, minus_zero); - check ("imag(ctan(-0 + i Inf)) = 1", __imag__ result, 1); - result = FUNC(ctan) (BUILD_COMPLEX (-1, plus_infty)); - check ("real(ctan(-1 + i Inf)) = -0", __real__ result, minus_zero); - check ("imag(ctan(-1 + i Inf)) = 1", __imag__ result, 1); - - result = FUNC(ctan) (BUILD_COMPLEX (0, minus_infty)); - check ("real(ctan(0 - i Inf)) = 0", __real__ result, 0); - check ("imag(ctan(0 - i Inf)) = -1", __imag__ result, -1); - result = FUNC(ctan) (BUILD_COMPLEX (1, minus_infty)); - check ("real(ctan(1 - i Inf)) = 0", __real__ result, 0); - check ("imag(ctan(1 - i Inf)) = -1", __imag__ result, -1); - result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, minus_infty)); - check ("real(ctan(-0 - i Inf)) = -0", __real__ result, minus_zero); - check ("imag(ctan(-0 - i Inf)) = -1", __imag__ result, -1); - result = FUNC(ctan) (BUILD_COMPLEX (-1, minus_infty)); - check ("real(ctan(-1 - i Inf)) = -0", __real__ result, minus_zero); - check ("imag(ctan(-1 - i Inf)) = -1", __imag__ result, -1); - - result = FUNC(ctan) (BUILD_COMPLEX (plus_infty, 0)); - check_isnan_exc ("real(ctan(Inf + i 0)) = NaN plus invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(Inf + i 0)) = NaN plus invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (plus_infty, 2)); - check_isnan_exc ("real(ctan(Inf + i 2)) = NaN plus invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(Inf + i 2)) = NaN plus invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (minus_infty, 0)); - check_isnan_exc ("real(ctan(-Inf + i 0)) = NaN plus invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(-Inf + i 0)) = NaN plus invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (minus_infty, 2)); - check_isnan_exc ("real(ctan(- Inf + i 2)) = NaN plus invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(- Inf + i 2)) = NaN plus invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (plus_infty, minus_zero)); - check_isnan_exc ("real(ctan(Inf - i 0)) = NaN plus invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(Inf - i 0)) = NaN plus invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (plus_infty, -2)); - check_isnan_exc ("real(ctan(Inf - i 2)) = NaN plus invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(Inf - i 2)) = NaN plus invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (minus_infty, minus_zero)); - check_isnan_exc ("real(ctan(-Inf - i 0)) = NaN plus invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(-Inf - i 0)) = NaN plus invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (minus_infty, -2)); - check_isnan_exc ("real(ctan(-Inf - i 2)) = NaN plus invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(-Inf - i 2)) = NaN plus invalid exception", - __imag__ result); - - result = FUNC(ctan) (BUILD_COMPLEX (nan_value, plus_infty)); - check ("real(ctan(NaN + i Inf)) = +-0", FUNC(fabs) (__real__ result), 0); - check ("imag(ctan(NaN + i Inf)) = 1", __imag__ result, 1); - result = FUNC(ctan) (BUILD_COMPLEX (nan_value, minus_infty)); - check ("real(ctan(NaN - i Inf)) = +-0", FUNC(fabs) (__real__ result), 0); - check ("imag(ctan(NaN - i Inf)) = -1", __imag__ result, -1); - - result = FUNC(ctan) (BUILD_COMPLEX (0, nan_value)); - check ("real(ctan(0 + i NaN)) = 0", __real__ result, 0); - check_isnan ("imag(ctan(0 + i NaN)) = NaN", __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (minus_zero, nan_value)); - check ("real(ctan(-0 + i NaN)) = -0", __real__ result, minus_zero); - check_isnan ("imag(ctan(-0 + i NaN)) = NaN", __imag__ result); - - result = FUNC(ctan) (BUILD_COMPLEX (0.5, nan_value)); - check_isnan_maybe_exc ("real(ctan(0.5 + i NaN)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(0.5 + i NaN)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (-4.5, nan_value)); - check_isnan_maybe_exc ("real(ctan(-4.5 + i NaN)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(-4.5 + i NaN)) = NaN plus maybe invalid exception", - __imag__ result); - - result = FUNC(ctan) (BUILD_COMPLEX (nan_value, 0)); - check_isnan_maybe_exc ("real(ctan(NaN + i 0)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(NaN + i 0)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (nan_value, 5)); - check_isnan_maybe_exc ("real(ctan(NaN + i 5)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(NaN + i 5)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (nan_value, minus_zero)); - check_isnan_maybe_exc ("real(ctan(NaN - i 0)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(NaN - i 0)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(ctan) (BUILD_COMPLEX (nan_value, -0.25)); - check_isnan_maybe_exc ("real(ctan(NaN -i 0.25)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(ctan(NaN -i 0.25)) = NaN plus maybe invalid exception", - __imag__ result); - - result = FUNC(ctan) (BUILD_COMPLEX (nan_value, nan_value)); - check_isnan ("real(ctan(NaN + i NaN)) = NaN", __real__ result); - check_isnan ("imag(ctan(NaN + i NaN)) = NaN", __imag__ result); - - result = FUNC(ctan) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(ctan(0.7 + i 1.2)) == 0.17207...", __real__ result, - 0.1720734197630349001L, CHOOSE (1e-17L, 5.6e-17, 2e-8)); - check_eps ("imag(ctan(0.7 + i 1.2)) == 0.95448...", __imag__ result, - 0.9544807059989405538L, CHOOSE (2e-17L, 2.3e-16, 6e-8)); - - result = FUNC(ctan) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(ctan(-2 - i 3)) == -0.00376...", __real__ result, - 0.0037640256415042482L, CHOOSE (1e-19L, 5e-19, 0)); - check_eps ("imag(ctan(-2 - i 3)) == -1.00323...", __imag__ result, - -1.0032386273536098014L, CHOOSE (2e-19L, 2.3e-16, 2e-7)); -} - - -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); - - result = FUNC(ctanh) (BUILD_COMPLEX (0, M_PI_4l)); - check ("real(ctanh (0 + i pi/4)) == 0", __real__ result, 0); - check_eps ("imag(ctanh (0 + i pi/4)) == 1", __imag__ result, 1, - CHOOSE (0, 2e-16, 2e-7)); - - result = FUNC(ctanh) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(ctanh(0.7 + i 1.2)) == 1.34721...", __real__ result, - 1.3472197399061191630L, CHOOSE (4e-17L, 6.7e-16, 2e-7)); - check_eps ("imag(ctanh(0.7 + i 1.2)) == -0.47786...", __imag__ result, - 0.4778641038326365540L, CHOOSE (9e-17L, 2.8e-16, 9e-8)); - - result = FUNC(ctanh) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(ctanh(-2 - i 3)) == -0.96538...", __real__ result, - -0.9653858790221331242L, CHOOSE (2e-19L, 2e-16, 2e-7)); - check_eps ("imag(ctanh(-2 - i 3)) == 0.00988...", __imag__ result, - 0.0098843750383224937L, CHOOSE (7e-20L, 2e-16, 1e-9)); -} - - -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_PIl); - 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_PIl); - - 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_PIl - M_PI_4l); - 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_4l - M_PIl); - - 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_4l); - 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_4l); - - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - 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_2l); - - 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_PIl); - 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_PIl); - 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_PIl); - 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_PIl); - - 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); - - result = FUNC(clog) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(clog(0.7 + i 1.2)) == 0.32876...", __real__ result, - 0.3287600014583970919L, CHOOSE (5e-17L, 6e-17, 3e-8)); - check_eps ("imag(clog(0.7 + i 1.2)) == 1.04272...", __imag__ result, - 1.0427218783685369524L, CHOOSE (2e-17L, 2.5e-16, 1.2e-7)); - - result = FUNC(clog) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(clog(-2 - i 3)) == 1.28247...", __real__ result, - 1.2824746787307683680L, CHOOSE (3e-19L, 0, 0)); - check_eps ("imag(clog(-2 - i 3)) == -2.15879...", __imag__ result, - -2.1587989303424641704L, CHOOSE (2e-18L, 5e-16, 8e-7)); -} - - -static void -clog10_test (void) -{ - __complex__ MATHTYPE result; - - result = FUNC(clog10) (BUILD_COMPLEX (minus_zero, 0)); - check_isinfn_exc ("real(clog10(-0 + i0)) = -Inf plus divide-by-zero exception", - __real__ result, DIVIDE_BY_ZERO_EXCEPTION); - check ("imag(clog10(-0 + i0)) = pi plus divide-by-zero exception", - __imag__ result, M_PIl); - result = FUNC(clog10) (BUILD_COMPLEX (minus_zero, minus_zero)); - check_isinfn_exc ("real(clog10(-0 - i0)) = -Inf plus divide-by-zero exception", - __real__ result, DIVIDE_BY_ZERO_EXCEPTION); - check ("imag(clog10(-0 - i0)) = -pi plus divide-by-zero exception", - __imag__ result, -M_PIl); - - result = FUNC(clog10) (BUILD_COMPLEX (0, 0)); - check_isinfn_exc ("real(clog10(0 + i0)) = -Inf plus divide-by-zero exception", - __real__ result, DIVIDE_BY_ZERO_EXCEPTION); - check ("imag(clog10(0 + i0)) = 0 plus divide-by-zero exception", - __imag__ result, 0); - result = FUNC(clog10) (BUILD_COMPLEX (0, minus_zero)); - check_isinfn_exc ("real(clog10(0 - i0)) = -Inf plus divide-by-zero exception", - __real__ result, DIVIDE_BY_ZERO_EXCEPTION); - check ("imag(clog10(0 - i0)) = -0 plus divide-by-zero exception", - __imag__ result, minus_zero); - - result = FUNC(clog10) (BUILD_COMPLEX (minus_infty, plus_infty)); - check_isinfp ("real(clog10(-Inf + i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(-Inf + i Inf)) = 3*pi/4*M_LOG10E", __imag__ result, - (M_PIl - M_PI_4l) * M_LOG10El, CHOOSE (0, 3e-16, 0)); - result = FUNC(clog10) (BUILD_COMPLEX (minus_infty, minus_infty)); - check_isinfp ("real(clog10(-Inf - i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(-Inf - i Inf)) = -3*pi/4*M_LOG10E", __imag__ result, - (M_PI_4l - M_PIl) * M_LOG10El, CHOOSE (0, 3e-16, 0)); - - result = FUNC(clog10) (BUILD_COMPLEX (plus_infty, plus_infty)); - check_isinfp ("real(clog10(+Inf + i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(+Inf + i Inf)) = pi/4*M_LOG10E", __imag__ result, - M_PI_4l * M_LOG10El, CHOOSE (0, 6e-17, 3e-8)); - result = FUNC(clog10) (BUILD_COMPLEX (plus_infty, minus_infty)); - check_isinfp ("real(clog10(+Inf - i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(+Inf - i Inf)) = -pi/4*M_LOG10E", __imag__ result, - -M_PI_4l * M_LOG10El, CHOOSE (0, 6e-17, 3e-8)); - - result = FUNC(clog10) (BUILD_COMPLEX (0, plus_infty)); - check_isinfp ("real(clog10(0 + i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(0 + i Inf)) = pi/2*M_LOG10E", __imag__ result, - M_PI_2l * M_LOG10El, CHOOSE (0, 2e-16, 6e-8)); - result = FUNC(clog10) (BUILD_COMPLEX (3, plus_infty)); - check_isinfp ("real(clog10(3 + i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(3 + i Inf)) = pi/2*M_LOG10E", __imag__ result, - M_PI_2l * M_LOG10El, CHOOSE (0, 2e-16, 6e-8)); - result = FUNC(clog10) (BUILD_COMPLEX (minus_zero, plus_infty)); - check_isinfp ("real(clog10(-0 + i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(-0 + i Inf)) = pi/2*M_LOG10E", __imag__ result, - M_PI_2l * M_LOG10El, CHOOSE (0, 2e-16, 6e-8)); - result = FUNC(clog10) (BUILD_COMPLEX (-3, plus_infty)); - check_isinfp ("real(clog10(-3 + i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(-3 + i Inf)) = pi/2*M_LOG10E", __imag__ result, - M_PI_2l * M_LOG10El, CHOOSE (0, 2e-16, 6e-8)); - result = FUNC(clog10) (BUILD_COMPLEX (0, minus_infty)); - check_isinfp ("real(clog10(0 - i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(0 - i Inf)) = -pi/2*M_LOG10E", __imag__ result, - -M_PI_2l * M_LOG10El, CHOOSE (0, 2e-16, 6e-8)); - result = FUNC(clog10) (BUILD_COMPLEX (3, minus_infty)); - check_isinfp ("real(clog10(3 - i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(3 - i Inf)) = -pi/2*M_LOG10E", __imag__ result, - -M_PI_2l * M_LOG10El, CHOOSE (0, 2e-16, 6e-8)); - result = FUNC(clog10) (BUILD_COMPLEX (minus_zero, minus_infty)); - check_isinfp ("real(clog10(-0 - i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(-0 - i Inf)) = -pi/2*M_LOG10E", __imag__ result, - -M_PI_2l * M_LOG10El, CHOOSE (0, 2e-16, 6e-8)); - result = FUNC(clog10) (BUILD_COMPLEX (-3, minus_infty)); - check_isinfp ("real(clog10(-3 - i Inf)) = +Inf", __real__ result); - check_eps ("imag(clog10(-3 - i Inf)) = -pi/2*M_LOG10E", __imag__ result, - -M_PI_2l * M_LOG10El, CHOOSE (0, 2e-16, 6e-8)); - - result = FUNC(clog10) (BUILD_COMPLEX (minus_infty, 0)); - check_isinfp ("real(clog10(-Inf + i0)) = +Inf", __real__ result); - check_eps ("imag(clog10(-Inf + i0)) = pi*M_LOG10E", __imag__ result, - M_PIl * M_LOG10El, CHOOSE (0, 3e-16, 2e-7)); - result = FUNC(clog10) (BUILD_COMPLEX (minus_infty, 1)); - check_isinfp ("real(clog10(-Inf + i1)) = +Inf", __real__ result); - check_eps ("imag(clog10(-Inf + i1)) = pi*M_LOG10E", __imag__ result, - M_PIl * M_LOG10El, CHOOSE (0, 3e-16, 2e-7)); - result = FUNC(clog10) (BUILD_COMPLEX (minus_infty, minus_zero)); - check_isinfp ("real(clog10(-Inf - i0)) = +Inf", __real__ result); - check_eps ("imag(clog10(-Inf - i0)) = -pi*M_LOG10E", __imag__ result, - -M_PIl * M_LOG10El, CHOOSE (0, 3e-16, 2e-7)); - result = FUNC(clog10) (BUILD_COMPLEX (minus_infty, -1)); - check_isinfp ("real(clog10(-Inf - i1)) = +Inf", __real__ result); - check_eps ("imag(clog10(-Inf - i1)) = -pi*M_LOG10E", __imag__ result, - -M_PIl * M_LOG10El, CHOOSE (0, 3e-16, 2e-7)); - - result = FUNC(clog10) (BUILD_COMPLEX (plus_infty, 0)); - check_isinfp ("real(clog10(+Inf + i0)) = +Inf", __real__ result); - check ("imag(clog10(+Inf + i0)) = 0", __imag__ result, 0); - result = FUNC(clog10) (BUILD_COMPLEX (plus_infty, 1)); - check_isinfp ("real(clog10(+Inf + i1)) = +Inf", __real__ result); - check ("imag(clog10(+Inf + i1)) = 0", __imag__ result, 0); - result = FUNC(clog10) (BUILD_COMPLEX (plus_infty, minus_zero)); - check_isinfp ("real(clog10(+Inf - i0)) = +Inf", __real__ result); - check ("imag(clog10(+Inf - i0)) = -0", __imag__ result, minus_zero); - result = FUNC(clog10) (BUILD_COMPLEX (plus_infty, -1)); - check_isinfp ("real(clog10(+Inf - i1)) = +Inf", __real__ result); - check ("imag(clog10(+Inf - i1)) = -0", __imag__ result, minus_zero); - - result = FUNC(clog10) (BUILD_COMPLEX (plus_infty, nan_value)); - check_isinfp ("real(clog10(+Inf + i NaN)) = +Inf", __real__ result); - check_isnan ("imag(clog10(+Inf + i NaN)) = NaN", __imag__ result); - result = FUNC(clog10) (BUILD_COMPLEX (minus_infty, nan_value)); - check_isinfp ("real(clog10(-Inf + i NaN)) = +Inf", __real__ result); - check_isnan ("imag(clog10(-Inf + i NaN)) = NaN", __imag__ result); - - result = FUNC(clog10) (BUILD_COMPLEX (nan_value, plus_infty)); - check_isinfp ("real(clog10(NaN + i Inf)) = +Inf", __real__ result); - check_isnan ("imag(clog10(NaN + i Inf)) = NaN", __imag__ result); - result = FUNC(clog10) (BUILD_COMPLEX (nan_value, minus_infty)); - check_isinfp ("real(clog10(NaN - i Inf)) = +Inf", __real__ result); - check_isnan ("imag(clog10(NaN - i Inf)) = NaN", __imag__ result); - - result = FUNC(clog10) (BUILD_COMPLEX (0, nan_value)); - check_isnan_maybe_exc ("real(clog10(0 + i NaN)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(clog10(0 + i NaN)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(clog10) (BUILD_COMPLEX (3, nan_value)); - check_isnan_maybe_exc ("real(clog10(3 + i NaN)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(clog10(3 + i NaN)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(clog10) (BUILD_COMPLEX (minus_zero, nan_value)); - check_isnan_maybe_exc ("real(clog10(-0 + i NaN)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(clog10(-0 + i NaN)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(clog10) (BUILD_COMPLEX (-3, nan_value)); - check_isnan_maybe_exc ("real(clog10(-3 + i NaN)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(clog10(-3 + i NaN)) = NaN plus maybe invalid exception", - __imag__ result); - - result = FUNC(clog10) (BUILD_COMPLEX (nan_value, 0)); - check_isnan_maybe_exc ("real(clog10(NaN + i0)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(clog10(NaN + i0)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(clog10) (BUILD_COMPLEX (nan_value, 5)); - check_isnan_maybe_exc ("real(clog10(NaN + i5)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(clog10(NaN + i5)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(clog10) (BUILD_COMPLEX (nan_value, minus_zero)); - check_isnan_maybe_exc ("real(clog10(NaN - i0)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(clog10(NaN - i0)) = NaN plus maybe invalid exception", - __imag__ result); - result = FUNC(clog10) (BUILD_COMPLEX (nan_value, -5)); - check_isnan_maybe_exc ("real(clog10(NaN - i5)) = NaN plus maybe invalid exception", - __real__ result, INVALID_EXCEPTION); - check_isnan ("imag(clog10(NaN - i5)) = NaN plus maybe invalid exception", - __imag__ result); - - result = FUNC(clog10) (BUILD_COMPLEX (nan_value, nan_value)); - check_isnan ("real(clog10(NaN + i NaN)) = NaN", __real__ result); - check_isnan ("imag(clog10(NaN + i NaN)) = NaN", __imag__ result); - - result = FUNC(clog10) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(clog10(0.7 + i 1.2)) == 0.14277...", __real__ result, - 0.1427786545038868803L, CHOOSE (2e-17L, 6e-17, 2e-8)); - check_eps ("imag(clog10(0.7 + i 1.2)) == 0.45284...", __imag__ result, - 0.4528483579352493248L, CHOOSE (6e-18, 6e-17, 6e-8)); - - result = FUNC(clog10) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(clog10(-2 - i 3)) == 0.55697...", __real__ result, - 0.5569716761534183846L, CHOOSE (6e-20L, 0, 0)); - check_eps ("imag(clog10(-2 - i 3)) == -0.93755...", __imag__ result, - -0.9375544629863747085L, CHOOSE (7e-19L, 2e-16, 3e-7)); -} - - -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); - - result = FUNC(csqrt) (BUILD_COMPLEX (16.0, -30.0)); - check ("real(csqrt(16 - 30i)) = 5", __real__ result, 5.0); - check ("imag(csqrt(16 - 30i)) = -3", __imag__ result, -3.0); - - result = FUNC(csqrt) (BUILD_COMPLEX (-1, 0)); - check ("real(csqrt(1 + i0) = 0", __real__ result, 0); - check ("imag(csqrt(1 + i0) = 1", __imag__ result, 1); - - result = FUNC(csqrt) (BUILD_COMPLEX (0, 2)); - check ("real(csqrt(0 + i 2) = 1", __real__ result, 1); - check ("imag(csqrt(0 + i 2) = 1", __imag__ result, 1); - - result = FUNC(csqrt) (BUILD_COMPLEX (119, 120)); - check ("real(csqrt(119 + i 120) = 12", __real__ result, 12); - check ("imag(csqrt(119 + i 120) = 5", __imag__ result, 5); - - result = FUNC(csqrt) (BUILD_COMPLEX (0.7, 1.2)); - check_eps ("real(csqrt(0.7 + i 1.2)) == 1.02206...", __real__ result, - 1.0220676100300264507L, CHOOSE (3e-17L, 3e-16, 2e-7)); - check_eps ("imag(csqrt(0.7 + i 1.2)) == 0.58704...", __imag__ result, - 0.5870453129635652115L, CHOOSE (7e-18L, 0, 6e-8)); - - result = FUNC(csqrt) (BUILD_COMPLEX (-2, -3)); - check_eps ("real(csqrt(-2 - i 3)) == 0.89597...", __real__ result, - 0.8959774761298381247L, CHOOSE (6e-16L, 4e-16, 6e-8)); - check_eps ("imag(csqrt(-2 - i 3)) == -1.67414...", __imag__ result, - -1.6741492280355400404L, CHOOSE (0, 5e-16, 0)); - - result = FUNC(csqrt) (BUILD_COMPLEX (-2, 3)); - check_eps ("real(csqrt(-2 + i 3)) == 0.89597...", __real__ result, - 0.8959774761298381247L, CHOOSE (6e-20L, 4e-16, 6e-8)); - check_eps ("imag(csqrt(-2 + i 3)) == 1.67414...", __imag__ result, - 1.6741492280355400404L, CHOOSE (0, 5e-16, 0)); -} - - -static void -cpow_test (void) -{ - __complex__ MATHTYPE result; - - result = FUNC(cpow) (BUILD_COMPLEX (1, 0), BUILD_COMPLEX (0, 0)); - check ("real(cpow (1 + i0), (0 + i0)) == 0", __real__ result, 1); - check ("imag(cpow (1 + i0), (0 + i0)) == 0", __imag__ result, 0); - - result = FUNC(cpow) (BUILD_COMPLEX (2, 0), BUILD_COMPLEX (10, 0)); - check_eps ("real(cpow (2 + i0), (10 + i0)) == 1024", __real__ result, 1024, - CHOOSE (6e-16L, 1.2e-13, 0)); - check ("imag(cpow (2 + i0), (10 + i0)) == 0", __imag__ result, 0); - - result = FUNC(cpow) (BUILD_COMPLEX (M_El, 0), BUILD_COMPLEX (0, 2 * M_PIl)); - check_eps ("real(cpow (e + i0), (0 + i 2*PI)) == 1", __real__ result, 1, - CHOOSE (0, 0, 6e-8)); - check_eps ("imag(cpow (e + i0), (0 + i 2*PI)) == 0", __imag__ result, 0, - CHOOSE (3e-18L, 3e-16, 4e-7)); - - result = FUNC(cpow) (BUILD_COMPLEX (2, 3), BUILD_COMPLEX (4, 0)); - check_eps ("real(cpow (2 + i3), (4 + i0)) == -119", __real__ result, -119, - CHOOSE (9e-16L, 2e-14, 4e-5)); - check_eps ("imag(cpow (2 + i3), (4 + i0)) == -120", __imag__ result, -120, - CHOOSE (1e-15L, 0, 5e-5)); -} - - -static void -cabs_test (void) -{ - /* cabs (x + iy) is specified as hypot (x,y) */ - MATHTYPE a; - a = random_greater (0); - check_isinfp_ext ("cabs (+inf + i x) == +inf", - FUNC(cabs) (BUILD_COMPLEX (plus_infty, a)), a); - check_isinfp_ext ("cabs (-inf + i x) == +inf", - FUNC(cabs) (BUILD_COMPLEX (minus_infty, a)), a); - - check_isinfp ("cabs (+inf+ iNaN) == +inf", - FUNC(cabs) (BUILD_COMPLEX (minus_infty, nan_value))); - check_isinfp ("cabs (-inf+ iNaN) == +inf", - FUNC(cabs) (BUILD_COMPLEX (minus_infty, nan_value))); - - check_isnan ("cabs (NaN+ iNaN) == NaN", - FUNC(cabs) (BUILD_COMPLEX (nan_value, nan_value))); - - a = FUNC(cabs) (BUILD_COMPLEX (12.4L, 0.7L)); - check ("cabs (x,y) == cabs (y,x)", - FUNC(cabs) (BUILD_COMPLEX (0.7L, 12.4L)), a); - check ("cabs (x,y) == cabs (-x,y)", - FUNC(cabs) (BUILD_COMPLEX (-12.4L, 0.7L)), a); - check ("cabs (x,y) == cabs (-y,x)", - FUNC(cabs) (BUILD_COMPLEX (-0.7L, 12.4L)), a); - check ("cabs (x,y) == cabs (-x,-y)", - FUNC(cabs) (BUILD_COMPLEX (-12.4L, -0.7L)), a); - check ("cabs (x,y) == cabs (-y,-x)", - FUNC(cabs) (BUILD_COMPLEX (-0.7L, -12.4L)), a); - check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX (-0.7L, 0)), 0.7L); - check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX (0.7L, 0)), 0.7L); - check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX (-1.0L, 0)), 1.0L); - check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX (1.0L, 0)), 1.0L); - check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX (-5.7e7L, 0)), - 5.7e7L); - check ("cabs (x,0) == fabs (x)", FUNC(cabs) (BUILD_COMPLEX (5.7e7L, 0)), - 5.7e7L); - - check_eps ("cabs (0.7 + i 1.2) == 1.38924...", FUNC(cabs) (BUILD_COMPLEX (0.7, 1.2)), - 1.3892443989449804508L, CHOOSE (7e-17L, 3e-16, 0)); -} - - -static void -carg_test (void) -{ - /* carg (x + iy) is specified as atan2 (y, x) */ - MATHTYPE x; - - x = random_greater (0); - check ("carg (x + i 0) == 0 for x > 0", - FUNC(carg) (BUILD_COMPLEX (x, 0)), 0); - x = random_greater (0); - check ("carg (x - i 0) == -0 for x > 0", - FUNC(carg) (BUILD_COMPLEX (x, minus_zero)), minus_zero); - - check ("carg (+0 + i 0) == +0", FUNC(carg) (BUILD_COMPLEX (0, 0)), 0); - check ("carg (+0 - i 0) == -0", FUNC(carg) (BUILD_COMPLEX (0, minus_zero)), - minus_zero); - - x = -random_greater (0); - check ("carg (x + i 0) == +pi for x < 0", FUNC(carg) (BUILD_COMPLEX (x, 0)), - M_PIl); - - x = -random_greater (0); - check ("carg (x - i 0) == -pi for x < 0", - FUNC(carg) (BUILD_COMPLEX (x, minus_zero)), -M_PIl); - - check ("carg (-0 + i 0) == +pi", FUNC(carg) (BUILD_COMPLEX (minus_zero, 0)), - M_PIl); - check ("carg (-0 - i 0) == -pi", - FUNC(carg) (BUILD_COMPLEX (minus_zero, minus_zero)), -M_PIl); - - x = random_greater (0); - check ("carg (+0 + i y) == pi/2 for y > 0", FUNC(carg) (BUILD_COMPLEX (0, x)), - M_PI_2l); - - x = random_greater (0); - check ("carg (-0 + i y) == pi/2 for y > 0", - FUNC(carg) (BUILD_COMPLEX (minus_zero, x)), M_PI_2l); - - x = random_less (0); - check ("carg (+0 + i y) == -pi/2 for y < 0", FUNC(carg) (BUILD_COMPLEX (0, x)), - -M_PI_2l); - - x = random_less (0); - check ("carg (-0 + i y) == -pi/2 for y < 0", - FUNC(carg) (BUILD_COMPLEX (minus_zero, x)), -M_PI_2l); - - x = random_greater (0); - check ("carg (inf + i y) == +0 for finite y > 0", - FUNC(carg) (BUILD_COMPLEX (plus_infty, x)), 0); - - x = -random_greater (0); - check ("carg (inf + i y) == -0 for finite y < 0", - FUNC(carg) (BUILD_COMPLEX (plus_infty, x)), minus_zero); - - x = random_value (-1e4, 1e4); - check ("carg(x + i inf) == pi/2 for finite x", - FUNC(carg) (BUILD_COMPLEX (x, plus_infty)), M_PI_2l); - - x = random_value (-1e4, 1e4); - check ("carg(x - i inf) == -pi/2 for finite x", - FUNC(carg) (BUILD_COMPLEX (x, minus_infty)), -M_PI_2l); - - x = random_greater (0); - check ("carg (-inf + i y) == +pi for finite y > 0", - FUNC(carg) (BUILD_COMPLEX (minus_infty, x)), M_PIl); - - x = -random_greater (0); - check ("carg (-inf + i y) == -pi for finite y < 0", - FUNC(carg) (BUILD_COMPLEX (minus_infty, x)), -M_PIl); - - check ("carg (+inf + i inf) == +pi/4", - FUNC(carg) (BUILD_COMPLEX (plus_infty, plus_infty)), M_PI_4l); - - check ("carg (+inf -i inf) == -pi/4", - FUNC(carg) (BUILD_COMPLEX (plus_infty, minus_infty)), -M_PI_4l); - - check ("carg (-inf +i inf) == +3*pi/4", - FUNC(carg) (BUILD_COMPLEX (minus_infty, plus_infty)), 3 * M_PI_4l); - - check ("carg (-inf -i inf) == -3*pi/4", - FUNC(carg) (BUILD_COMPLEX (minus_infty, minus_infty)), -3 * M_PI_4l); -} - - -static void -nearbyint_test (void) -{ - check ("nearbyint(+0) = 0", FUNC(nearbyint) (0.0), 0.0); - check ("nearbyint(-0) = -0", FUNC(nearbyint) (minus_zero), minus_zero); - check_isinfp ("nearbyint(+Inf) = +Inf", FUNC(nearbyint) (plus_infty)); - check_isinfn ("nearbyint(-Inf) = -Inf", FUNC(nearbyint) (minus_infty)); -} - - -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 -lrint_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 ("lrint(0) = 0", FUNC(lrint) (0.0), 0); - check_long ("lrint(-0) = 0", FUNC(lrint) (minus_zero), 0); - check_long ("lrint(0.2) = 0", FUNC(lrint) (0.2), 0); - check_long ("lrint(-0.2) = 0", FUNC(lrint) (-0.2), 0); - - check_long ("lrint(1.4) = 1", FUNC(lrint) (1.4), 1); - check_long ("lrint(-1.4) = -1", FUNC(lrint) (-1.4), -1); - - check_long ("lrint(8388600.3) = 8388600", FUNC(lrint) (8388600.3), 8388600); - check_long ("lrint(-8388600.3) = -8388600", FUNC(lrint) (-8388600.3), - -8388600); -} - - -static void -llrint_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 ("llrint(0) = 0", FUNC(llrint) (0.0), 0); - check_longlong ("llrint(-0) = 0", FUNC(llrint) (minus_zero), 0); - check_longlong ("llrint(0.2) = 0", FUNC(llrint) (0.2), 0); - check_longlong ("llrint(-0.2) = 0", FUNC(llrint) (-0.2), 0); - - check_longlong ("llrint(1.4) = 1", FUNC(llrint) (1.4), 1); - check_longlong ("llrint(-1.4) = -1", FUNC(llrint) (-1.4), -1); - - check_longlong ("llrint(8388600.3) = 8388600", FUNC(llrint) (8388600.3), - 8388600); - check_longlong ("llrint(-8388600.3) = -8388600", FUNC(llrint) (-8388600.3), - -8388600); - - /* Test boundary conditions. */ - /* 0x1FFFFF */ - check_longlong ("llrint(2097151.0) = 2097151", FUNC(llrint) (2097151.0), - 2097151LL); - /* 0x800000 */ - check_longlong ("llrint(8388608.0) = 8388608", FUNC(llrint) (8388608.0), - 8388608LL); - /* 0x1000000 */ - check_longlong ("llrint(16777216.0) = 16777216", - FUNC(llrint) (16777216.0), 16777216LL); - /* 0x20000000000 */ - check_longlong ("llrint(2199023255552.0) = 2199023255552", - FUNC(llrint) (2199023255552.0), 2199023255552LL); - /* 0x40000000000 */ - check_longlong ("llrint(4398046511104.0) = 4398046511104", - FUNC(llrint) (4398046511104.0), 4398046511104LL); - /* 0x10000000000000 */ - check_longlong ("llrint(4503599627370496.0) = 4503599627370496", - FUNC(llrint) (4503599627370496.0), 4503599627370496LL); - /* 0x10000080000000 */ - check_longlong ("llrint(4503601774854144.0) = 4503601774854144", - FUNC(llrint) (4503601774854144.0), 4503601774854144LL); - /* 0x20000000000000 */ - check_longlong ("llrint(9007199254740992.0) = 9007199254740992", - FUNC(llrint) (9007199254740992.0), 9007199254740992LL); - /* 0x80000000000000 */ - check_longlong ("llrint(36028797018963968.0) = 36028797018963968", - FUNC(llrint) (36028797018963968.0), 36028797018963968LL); - /* 0x100000000000000 */ - check_longlong ("llrint(72057594037927936.0) = 72057594037927936", - FUNC(llrint) (72057594037927936.0), 72057594037927936LL); -} - - -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 -lround_test (void) -{ - check_long ("lround(0) = 0", FUNC(lround) (0), 0); - check_long ("lround(-0) = 0", FUNC(lround) (minus_zero), 0); - check_long ("lround(0.2) = 0", FUNC(lround) (0.2), 0.0); - check_long ("lround(-0.2) = 0", FUNC(lround) (-0.2), 0); - check_long ("lround(0.5) = 1", FUNC(lround) (0.5), 1); - check_long ("lround(-0.5) = -1", FUNC(lround) (-0.5), -1); - check_long ("lround(0.8) = 1", FUNC(lround) (0.8), 1); - check_long ("lround(-0.8) = -1", FUNC(lround) (-0.8), -1); - check_long ("lround(1.5) = 2", FUNC(lround) (1.5), 2); - check_long ("lround(-1.5) = -2", FUNC(lround) (-1.5), -2); - check_long ("lround(22514.5) = 22515", FUNC(lround) (22514.5), 22515); - check_long ("lround(-22514.5) = -22515", FUNC(lround) (-22514.5), -22515); -#ifndef TEST_FLOAT - check_long ("lround(2097152.5) = 2097153", FUNC(lround) (2097152.5), - 2097153); - check_long ("lround(-2097152.5) = -2097153", FUNC(lround) (-2097152.5), - -2097153); -#endif -} - - -static void -llround_test (void) -{ - check_longlong ("llround(0) = 0", FUNC(llround) (0), 0); - check_longlong ("llround(-0) = 0", FUNC(llround) (minus_zero), 0); - check_longlong ("llround(0.2) = 0", FUNC(llround) (0.2), 0.0); - check_longlong ("llround(-0.2) = 0", FUNC(llround) (-0.2), 0); - check_longlong ("llround(0.5) = 1", FUNC(llround) (0.5), 1); - check_longlong ("llround(-0.5) = -1", FUNC(llround) (-0.5), -1); - check_longlong ("llround(0.8) = 1", FUNC(llround) (0.8), 1); - check_longlong ("llround(-0.8) = -1", FUNC(llround) (-0.8), -1); - check_longlong ("llround(1.5) = 2", FUNC(llround) (1.5), 2); - check_longlong ("llround(-1.5) = -2", FUNC(llround) (-1.5), -2); - check_longlong ("llround(22514.5) = 22515", FUNC(llround) (22514.5), 22515); - check_longlong ("llround(-22514.5) = -22515", FUNC(llround) (-22514.5), - -22515); -#ifndef TEST_FLOAT - check_longlong ("llround(2097152.5) = 2097153", - FUNC(llround) (2097152.5), 2097153); - check_longlong ("llround(-2097152.5) = -2097153", - FUNC(llround) (-2097152.5), -2097153); - check_longlong ("llround(34359738368.5) = 34359738369", - FUNC(llround) (34359738368.5), 34359738369ll); - check_longlong ("llround(-34359738368.5) = -34359738369", - FUNC(llround) (-34359738368.5), -34359738369ll); -#endif - - /* Test boundary conditions. */ - /* 0x1FFFFF */ - check_longlong ("llround(2097151.0) = 2097151", FUNC(llround) (2097151.0), - 2097151LL); - /* 0x800000 */ - check_longlong ("llround(8388608.0) = 8388608", FUNC(llround) (8388608.0), - 8388608LL); - /* 0x1000000 */ - check_longlong ("llround(16777216.0) = 16777216", - FUNC(llround) (16777216.0), 16777216LL); - /* 0x20000000000 */ - check_longlong ("llround(2199023255552.0) = 2199023255552", - FUNC(llround) (2199023255552.0), 2199023255552LL); - /* 0x40000000000 */ - check_longlong ("llround(4398046511104.0) = 4398046511104", - FUNC(llround) (4398046511104.0), 4398046511104LL); - /* 0x10000000000000 */ - check_longlong ("llround(4503599627370496.0) = 4503599627370496", - FUNC(llround) (4503599627370496.0), 4503599627370496LL); - /* 0x10000080000000 */ - check_longlong ("llrint(4503601774854144.0) = 4503601774854144", - FUNC(llrint) (4503601774854144.0), 4503601774854144LL); - /* 0x20000000000000 */ - check_longlong ("llround(9007199254740992.0) = 9007199254740992", - FUNC(llround) (9007199254740992.0), 9007199254740992LL); - /* 0x80000000000000 */ - check_longlong ("llround(36028797018963968.0) = 36028797018963968", - FUNC(llround) (36028797018963968.0), 36028797018963968LL); - /* 0x100000000000000 */ - check_longlong ("llround(72057594037927936.0) = 72057594037927936", - FUNC(llround) (72057594037927936.0), 72057594037927936LL); -} - - -static void -fma_test (void) -{ - check ("fma(1.0, 2.0, 3.0) = 5.0", FUNC(fma) (1.0, 2.0, 3.0), 5.0); - check_isnan ("fma(NaN, 2.0, 3.0) = NaN", FUNC(fma) (nan_value, 2.0, 3.0)); - check_isnan ("fma(1.0, NaN, 3.0) = NaN", FUNC(fma) (1.0, nan_value, 3.0)); - check_isnan_maybe_exc ("fma(1.0, 2.0, NaN) = NaN", - FUNC(fma) (1.0, 2.0, nan_value), INVALID_EXCEPTION); - check_isnan_maybe_exc ("fma(+Inf, 0.0, NaN) = NaN", - FUNC(fma) (plus_infty, 0.0, nan_value), - INVALID_EXCEPTION); - check_isnan_maybe_exc ("fma(-Inf, 0.0, NaN) = NaN", - FUNC(fma) (minus_infty, 0.0, nan_value), - INVALID_EXCEPTION); - check_isnan_maybe_exc ("fma(0.0, +Inf, NaN) = NaN", - FUNC(fma) (0.0, plus_infty, nan_value), - INVALID_EXCEPTION); - check_isnan_maybe_exc ("fma(0.0, -Inf, NaN) = NaN", - FUNC(fma) (0.0, minus_infty, nan_value), - INVALID_EXCEPTION); - check_isnan_exc ("fma(+Inf, 0.0, 1.0) = NaN", - FUNC(fma) (plus_infty, 0.0, 1.0), INVALID_EXCEPTION); - check_isnan_exc ("fma(-Inf, 0.0, 1.0) = NaN", - FUNC(fma) (minus_infty, 0.0, 1.0), INVALID_EXCEPTION); - check_isnan_exc ("fma(0.0, +Inf, 1.0) = NaN", - FUNC(fma) (0.0, plus_infty, 1.0), INVALID_EXCEPTION); - check_isnan_exc ("fma(0.0, -Inf, 1.0) = NaN", - FUNC(fma) (0.0, minus_infty, 1.0), INVALID_EXCEPTION); - - check_isnan_exc ("fma(+Inf, +Inf, -Inf) = NaN", - FUNC(fma) (plus_infty, plus_infty, minus_infty), - INVALID_EXCEPTION); - check_isnan_exc ("fma(-Inf, +Inf, +Inf) = NaN", - FUNC(fma) (minus_infty, plus_infty, plus_infty), - INVALID_EXCEPTION); - check_isnan_exc ("fma(+Inf, -Inf, +Inf) = NaN", - FUNC(fma) (plus_infty, minus_infty, plus_infty), - INVALID_EXCEPTION); - check_isnan_exc ("fma(-Inf, -Inf, -Inf) = NaN", - FUNC(fma) (minus_infty, minus_infty, minus_infty), - INVALID_EXCEPTION); -} - -static void -j0_test (void) -{ - errno = 0; - FUNC(j0) (0); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - - /* j0 is the Bessel function of the first kind of order 0 */ - check_isnan ("j0 (NaN) = NaN", FUNC(j0) (nan_value)); - check ("j0 (+Inf) = 0", FUNC(j0) (plus_infty), 0); - check ("j0 (-1.0) = 0.76519...", FUNC(j0) (-1.0), 0.76519768655796655145); - check ("j0 (0) = 1", FUNC(j0) (0.0), 1.0); - check ("j0 (0.1) = 0.99750...", FUNC(j0) (0.1), 0.99750156206604003228); - check ("j0 (0.7) = 0.88120...", FUNC(j0) (0.7), 0.88120088860740528084); - check ("j0 (1.0) = 0.76519...", FUNC(j0) (1.0), 0.76519768655796655145); - check_eps ("j0 (1.5) = 0.51182...", FUNC(j0) (1.5), 0.51182767173591812875, - CHOOSE (0, 0, 6e-8)); - check_eps ("j0 (2.0) = 0.22389...", FUNC(j0) (2.0), 0.22389077914123566805, - CHOOSE(0, 3e-17, 3e-8)); - check_eps ("j0 (8.0) = 0.17165...", FUNC(j0) (8.0), 0.17165080713755390609, - CHOOSE(0, 0, 1.5e-8)); - check_eps ("j0 (10.0) = -0.24593...", FUNC(j0) (10.0), -0.24593576445134833520, - CHOOSE(0, 6e-17, 5e-8)); -} - -static void -j1_test (void) -{ - errno = 0; - FUNC(j1) (0); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - - /* j1 is the Bessel function of the first kind of order 1 */ - check_isnan ("j1 (NaN) = NaN", FUNC(j1) (nan_value)); - check ("j1 (+Inf) = 0", FUNC(j1) (plus_infty), 0); - - check_eps ("j1 (-1.0) = -0.44005...", FUNC(j1) (-1.0), - -0.44005058574493351596, CHOOSE (0, 0, 3e-8)); - check ("j1 (0) = 0", FUNC(j1) (0.0), 0.0); - check ("j1 (0.1) = 0.049937...", FUNC(j1) (0.1), 0.049937526036241997556); - check ("j1 (0.7) = 0.32899...", FUNC(j1) (0.7), 0.32899574154005894785); - check_eps ("j1 (1.0) = 0.44005...", FUNC(j1) (1.0), 0.44005058574493351596, - CHOOSE (0, 0, 3e-8)); - check_eps ("j1 (1.5) = 0.55793...", FUNC(j1) (1.5), 0.55793650791009964199, - CHOOSE (0, 0, 6e-8)); - check_eps ("j1 (2.0) = 0.57672...", FUNC(j1) (2.0), 0.57672480775687338720, - CHOOSE(0, 2e-16, 0)); - check_eps ("j1 (8.0) = 0.23463...", FUNC(j1) (8.0), 0.23463634685391462438, - CHOOSE(0, 3e-17, 1.5e-8)); - check_eps ("j1 (10.0) = 0.04347...", FUNC(j1) (10.0), 0.043472746168861436670, - CHOOSE(0, 2e-17, 7.5e-9)); -} - -static void -jn_test (void) -{ - errno = 0; - FUNC(jn) (1, 1); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - - /* jn is the Bessel function of the first kind of order n. */ - - /* jn (0, x) == j0 (x) */ - check_isnan ("jn (0, NaN) = NaN", FUNC(jn) (0, nan_value)); - check ("jn (0, +Inf) = 0", FUNC(jn) (0, plus_infty), 0); - check ("jn (0, -1.0) = 0.76519...", FUNC(jn) (0, -1.0), 0.76519768655796655145); - check ("jn (0, 0.0) = 1", FUNC(jn) (0, 0.0), 1.0); - check ("jn (0, 0.1) = 0.99750...", FUNC(jn) (0, 0.1), 0.99750156206604003228); - check ("jn (0, 0.7) = 0.88120...", FUNC(jn) (0, 0.7), 0.88120088860740528084); - check ("jn (0, 1.0) = 0.76519...", FUNC(jn) (0, 1.0), 0.76519768655796655145); - check_eps ("jn (0, 1.5) = 0.51182...", FUNC(jn) (0, 1.5), - 0.51182767173591812875, CHOOSE (0, 0, 6e-8)); - check_eps ("jn (0, 2.0) = 0.22389...", FUNC(jn) (0, 2.0), 0.22389077914123566805, - CHOOSE(0, 3e-17, 3e-8)); - check_eps ("jn (0, 8.0) = 0.17165...", FUNC(jn) (0, 8.0), 0.17165080713755390609, - CHOOSE(0, 0, 1.5e-8)); - check_eps ("jn (0, 10.0) = -0.24593...", FUNC(jn) (0, 10.0), -0.24593576445134833520, - CHOOSE(0, 6e-17, 4.5e-8)); - - /* jn (1, x) == j1 (x) */ - check_isnan ("jn (1, NaN) = NaN", FUNC(jn) (1, nan_value)); - check ("jn (1, +Inf) = 0", FUNC(jn) (1, plus_infty), 0); - - check_eps ("jn (1, -1.0) = -0.44005...", FUNC(jn) (1, -1.0), - -0.44005058574493351596, CHOOSE (0, 0, 3e-8)); - check ("jn (1, 0.0) = 0", FUNC(jn) (1, 0.0), 0.0); - check ("jn (1, 0.1) = 0.049937...", FUNC(jn) (1, 0.1), 0.049937526036241997556); - check ("jn (1, 0.7) = 0.32899...", FUNC(jn) (1, 0.7), 0.32899574154005894785); - check_eps ("jn (1, 1.0) = 0.44005...", FUNC(jn) (1, 1.0), - 0.44005058574493351596, CHOOSE (0, 0, 3e-8)); - check_eps ("jn (1, 1.5) = 0.55793...", FUNC(jn) (1, 1.5), - 0.55793650791009964199, CHOOSE (0, 0, 6e-8)); - check_eps ("jn (1, 2.0) = 0.57672...", FUNC(jn) (1, 2.0), 0.57672480775687338720, - CHOOSE(0, 2e-16, 0)); - check_eps ("jn (1, 8.0) = 0.23463...", FUNC(jn) (1, 8.0), 0.23463634685391462438, - CHOOSE(0, 3e-17, 1.5e-8)); - check_eps ("jn (1, 10.0) = 0.04347...", FUNC(jn) (1, 10.0), 0.043472746168861436670, - CHOOSE(0, 2e-17, 7.5e-9)); - - /* jn (3, x) */ - check_isnan ("jn (3, NaN) = NaN", FUNC(jn) (3, nan_value)); - check ("jn (3, +Inf) = 0", FUNC(jn) (3, plus_infty), 0); - - check_eps ("jn (3, -1.0) = -0.01956...", FUNC(jn) (3, -1.0), - -0.019563353982668405919, CHOOSE (0, 0, 1.9e-9)); - check ("jn (3, 0.0) = 0", FUNC(jn) (3, 0.0), 0.0); - check_eps ("jn (3, 0.1) = 2.082...*10^-6", FUNC(jn) (3, 0.1), 0.000020820315754756261429, - CHOOSE(0, 4e-21, 0)); - check_eps ("jn (3, 0.7) = 0.00692...", FUNC(jn) (3, 0.7), 0.0069296548267508408077, - CHOOSE(0, 2e-18, 5e-10)); - check_eps ("jn (3, 1.0) = 0.01956...", FUNC(jn) (3, 1.0), - 0.019563353982668405919, CHOOSE (0, 0, 1.9e-9)); - check_eps ("jn (3, 2.0) = 0.12894...", FUNC(jn) (3, 2.0), 0.12894324947440205110, - CHOOSE(0, 3e-17, 3e-8)); - check_eps ("jn (3, 10.0) = 0.05837...", FUNC(jn) (3, 10.0), 0.058379379305186812343, - CHOOSE(0, 3e-17, 1.9e-8)); - - /* jn (10, x) */ - check_isnan ("jn (10, NaN) = NaN", FUNC(jn) (10, nan_value)); - check ("jn (10, +Inf) = 0", FUNC(jn) (10, plus_infty), 0); - - check_eps ("jn (10, -1.0) = 2.6306...*10^-10", FUNC(jn) (10, -1.0), 0.26306151236874532070e-9, - CHOOSE(0, 0, 5.6e-17)); - check ("jn (10, 0) = 0", FUNC(jn) (10, 0.0), 0.0); - check_eps ("jn (10, 0.1) = 2.6905...*10^-20", FUNC(jn) (10, 0.1), 0.26905328954342155795e-19, - CHOOSE(0, 2e-35, 9.7e-27)); - check_eps ("jn (10, 0.7) = 7.517...*10^-12", FUNC(jn) (10, 0.7), 0.75175911502153953928e-11, - CHOOSE(0, 7e-27, 1.8e-18)); - check_eps ("jn (10, 1.0) = 2.630...*10^-10", FUNC(jn) (10, 1.0), 0.26306151236874532070e-9, - CHOOSE(0, 0, 5.6e-17)); - check_eps ("jn (10, 2.0) = 2.515...*10^-7", FUNC(jn) (10, 2.0), 0.25153862827167367096e-6, - CHOOSE(0, 2e-22, 1.2e-13)); - check_eps ("jn (10, 10.0) = 0.20748...", FUNC(jn) (10, 10.0), 0.20748610663335885770, - CHOOSE(0, 2e-16, 1.4e-7)); -} - -static void -y0_test (void) -{ - errno = 0; - FUNC(y0) (1); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - - /* y0 is the Bessel function of the second kind of order 0 */ - check_isinfn ("y0 (-1.0) = -inf", FUNC(y0) (-1.0)); - check_isinfn ("y0 (0) = -inf", FUNC(y0) (0.0)); - check_isnan ("y0 (NaN) = NaN", FUNC(y0) (nan_value)); - check ("y0 (+Inf) = 0", FUNC(y0) (plus_infty), 0); - - check_eps ("y0 (0.1) = -1.53423...", FUNC(y0) (0.1), -1.5342386513503668441, - CHOOSE(0, 3e-16, 2.4e-7)); - check_eps ("y0 (0.7) = -0.19066...", FUNC(y0) (0.7), -0.19066492933739506743, - CHOOSE(0, 6e-17, 1.5e-8)); - check_eps ("y0 (1.0) = 0.08825...", FUNC(y0) (1.0), 0.088256964215676957983, - CHOOSE(0, 3e-17, 7.5e-9)); - check_eps ("y0 (1.5) = 0.38244...", FUNC(y0) (1.5), 0.38244892379775884396, - CHOOSE(0, 1.2e-16, 3.0e-8)); - check_eps ("y0 (2.0) = 0.51037...", FUNC(y0) (2.0), 0.51037567264974511960, - CHOOSE(0, 2e-16, 6e-8)); - check_eps ("y0 (8.0) = 0.22352...", FUNC(y0) (8.0), 0.22352148938756622053, - CHOOSE(0, 3e-17, 1.5e-8)); - check_eps ("y0 (10.0) = 0.05567...", FUNC(y0) (10.0), 0.055671167283599391424, - CHOOSE(0, 2e-17, 3.8e-9)); -} - - -static void -y1_test (void) -{ - errno = 0; - FUNC(y1) (1); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - - /* y1 is the Bessel function of the second kind of order 1 */ - check_isinfn ("y1 (-1.0) = -inf", FUNC(y1) (-1.0)); - check_isinfn ("y1 (0) = -inf", FUNC(y1) (0.0)); - check ("y1 (+Inf) = 0", FUNC(y1) (plus_infty), 0); - check_isnan ("y1 (NaN) = NaN", FUNC(y1) (nan_value)); - - check_eps ("y1 (0.1) = -6.45895...", FUNC(y1) (0.1), -6.4589510947020269877, - CHOOSE(0, 9e-16, 9.6e-7)); - check_eps ("y1 (0.7) = -1.10324...", FUNC(y1) (0.7), -1.1032498719076333697, - CHOOSE(0, 3e-16, 1.2e-7)); - check_eps ("y1 (1.0) = -0.78121...", FUNC(y1) (1.0), -0.78121282130028871655, - CHOOSE(0, 2e-16, 0)); - check_eps ("y1 (1.5) = -0.41230...", FUNC(y1) (1.5), -0.41230862697391129595, - CHOOSE (0, 0, 6e-8)); - check_eps ("y1 (2.0) = -0.10703...", FUNC(y1) (2.0), -0.10703243154093754689, - CHOOSE(0, 2e-17, 1.5e-8)); - check_eps ("y1 (8.0) = -0.15806...", FUNC(y1) (8.0), -0.15806046173124749426, - CHOOSE(0, 3e-17, 3.0e-8)); - check_eps ("y1 (10.0) = 0.24901...", FUNC(y1) (10.0), 0.24901542420695388392, - CHOOSE(0, 9e-17, 3.0e-8)); -} - -static void -yn_test (void) -{ - errno = 0; - FUNC(yn) (1, 1); - if (errno == ENOSYS) - /* Function not implemented. */ - return; - - /* yn is the Bessel function of the second kind of order n */ - - /* yn (0, x) == y0 (x) */ - check_isinfn ("yn (0, -1.0) = -inf", FUNC(yn) (0, -1.0)); - check_isinfn ("yn (0, 0) = -inf", FUNC(yn) (0, 0.0)); - check_isnan ("yn (0, NaN) = NaN", FUNC(yn) (0, nan_value)); - check ("yn (0, +Inf) = 0", FUNC(yn) (0, plus_infty), 0); - - check_eps ("yn (0, 0.1) = -1.53423...", FUNC(yn) (0, 0.1), -1.5342386513503668441, - CHOOSE(0, 3e-16, 9.6e-7)); - check_eps ("yn (0, 0.7) = -0.19066...", FUNC(yn) (0, 0.7), -0.19066492933739506743, - CHOOSE(0, 6e-17, 1.2e-7)); - check_eps ("yn (0, 1.0) = 0.08825...", FUNC(yn) (0, 1.0), 0.088256964215676957983, - CHOOSE(0, 3e-17, 3e-8)); - check_eps ("yn (0, 1.5) = 0.38244...", FUNC(yn) (0, 1.5), 0.38244892379775884396, - CHOOSE(0, 1.2e-16, 3e-8)); - check_eps ("yn (0, 2.0) = 0.51037...", FUNC(yn) (0, 2.0), 0.51037567264974511960, - CHOOSE(0, 2e-16, 6e-8)); - check_eps ("yn (0, 8.0) = 0.22352...", FUNC(yn) (0, 8.0), 0.22352148938756622053, - CHOOSE(0, 3e-17, 1.5e-8)); - check_eps ("yn (0, 10.0) = 0.05567...", FUNC(yn) (0, 10.0), 0.055671167283599391424, - CHOOSE(0, 2e-17, 3.8e-8)); - - /* yn (1, x) == y1 (x) */ - check_isinfn ("yn (1, -1.0) = -inf", FUNC(yn) (1, -1.0)); - check_isinfn ("yn (1, 0) = -inf", FUNC(yn) (1, 0.0)); - check ("yn (1, +Inf) = 0", FUNC(yn) (1, plus_infty), 0); - check_isnan ("yn (1, NaN) = NaN", FUNC(yn) (1, nan_value)); - - check_eps ("yn (1, 0.1) = -6.45895...", FUNC(yn) (1, 0.1), -6.4589510947020269877, - CHOOSE(0, 9e-16, 9.6e-7)); - check_eps ("yn (1, 0.7) = -1.10324...", FUNC(yn) (1, 0.7), -1.1032498719076333697, - CHOOSE(0, 3e-16, 1.2e-7)); - check_eps ("yn (1, 1.0) = -0.78121...", FUNC(yn) (1, 1.0), -0.78121282130028871655, - CHOOSE(0, 2e-16, 0)); - check_eps ("yn (1, 1.5) = -0.41230...", FUNC(yn) (1, 1.5), -0.41230862697391129595, - CHOOSE (0, 0, 3e-8)); - check_eps ("yn (1, 2.0) = -0.10703...", FUNC(yn) (1, 2.0), -0.10703243154093754689, - CHOOSE(0, 2e-17, 2e-8)); - check_eps ("yn (1, 8.0) = -0.15806...", FUNC(yn) (1, 8.0), -0.15806046173124749426, - CHOOSE(0, 3e-17, 3e-8)); - check_eps ("yn (1, 10.0) = 0.24901...", FUNC(yn) (1, 10.0), 0.24901542420695388392, - CHOOSE(0, 9e-17, 3e-8)); - - /* yn (3, x) */ - check ("yn (3, +Inf) = 0", FUNC(yn) (3, plus_infty), 0); - check_isnan ("yn (3, NaN) = NaN", FUNC(yn) (3, nan_value)); - - check_eps ("yn (3, 0.1) = -5099.3...", FUNC(yn) (3, 0.1), -5099.3323786129048894, - CHOOSE(0, 1e-12, 9.8e-4)); - check_eps ("yn (3, 0.7) = -15.819...", FUNC(yn) (3, 0.7), -15.819479052819633505, - CHOOSE(0, 6e-15, 9.6e-7)); - check ("yn (3, 1.0) = -5.8215...", FUNC(yn) (3, 1.0), -5.8215176059647288478); - check_eps ("yn (3, 2.0) = -1.1277...", FUNC(yn) (3, 2.0), -1.1277837768404277861, - CHOOSE(0, 3e-16, 1.2e-7)); - check_eps ("yn (3, 10.0) = -0.25136...", FUNC(yn) (3, 10.0), -0.25136265718383732978, - CHOOSE(0, 6e-17, 3e-8)); - - /* yn (10, x) */ - check ("yn (10, +Inf) = 0", FUNC(yn) (10, plus_infty), 0); - check_isnan ("yn (10, NaN) = NaN", FUNC(yn) (10, nan_value)); - - check_eps ("yn (10, 0.1) = -1.183...*10^18", FUNC(yn) (10, 0.1), -0.11831335132045197885e19, - CHOOSE(0, 6e2, 2.8e11)); - check_eps ("yn (10, 0.7) = -4.244...*10^9", FUNC(yn) (10, 0.7), -0.42447194260703866924e10, - CHOOSE(0, 3e-6, 8e2)); - check_eps ("yn (10, 1.0) = -1.216...*10^8", FUNC(yn) (10, 1.0), -0.12161801427868918929e9, - CHOOSE(0, 2e-8, 20)); - check_eps ("yn (10, 2.0) = -129184.5...", FUNC(yn) (10, 2.0), -129184.54220803928264, - CHOOSE(0, 4.4e-11, 3e-2)); - check_eps ("yn (10, 10.0) = -0.35981...", FUNC(yn) (10, 10.0), -0.35981415218340272205, - CHOOSE(0, 1.2e-16, 3e-8)); - -} - - -/* Tests for the comparison macros */ -typedef enum { is_less, is_equal, is_greater, is_unordered } comp_result; - - -static void -comparison2_test (MATHTYPE x, MATHTYPE y, comp_result comp) -{ - char buf[255]; - int result; - int expected; - - expected = (comp == is_greater); - sprintf (buf, "isgreater (%" PRINTF_EXPR ", %" PRINTF_EXPR ") == %d", x, y, - expected); - result = (isgreater (x, y) == expected); - check_bool (buf, result); - - expected = (comp == is_greater || comp == is_equal); - sprintf (buf, "isgreaterequal (%" PRINTF_EXPR ", %" PRINTF_EXPR ") == %d", x, y, - expected); - result = (isgreaterequal (x, y) == expected); - check_bool (buf, result); - - expected = (comp == is_less); - sprintf (buf, "isless (%" PRINTF_EXPR ", %" PRINTF_EXPR ") == %d", x, y, - expected); - result = (isless (x, y) == expected); - check_bool (buf, result); - - expected = (comp == is_less || comp == is_equal); - sprintf (buf, "islessequal (%" PRINTF_EXPR ", %" PRINTF_EXPR ") == %d", x, y, - expected); - result = (islessequal (x, y) == expected); - check_bool (buf, result); - - expected = (comp == is_greater || comp == is_less); - sprintf (buf, "islessgreater (%" PRINTF_EXPR ", %" PRINTF_EXPR ") == %d", x, y, - expected); - result = (islessgreater (x, y) == expected); - check_bool (buf, result); - - expected = (comp == is_unordered); - sprintf (buf, "isunordered (%" PRINTF_EXPR ", %" PRINTF_EXPR ") == %d", x, y, - expected); - result = (isunordered (x, y) == expected); - check_bool (buf, result); -} - - -static void -comparison1_test (MATHTYPE x, MATHTYPE y, comp_result comp) -{ - comp_result comp_swap; - switch (comp) - { - case is_less: - comp_swap = is_greater; - break; - case is_greater: - comp_swap = is_less; - break; - default: - comp_swap = comp; - break; - } - comparison2_test (x, y, comp); - comparison2_test (y, x, comp_swap); -} - - -static void -comparisons_test (void) -{ - comparison1_test (1, 2, is_less); - comparison1_test (-30, 30, is_less); - comparison1_test (42, 42, is_equal); - comparison1_test (1, plus_infty, is_less); - comparison1_test (35, minus_infty, is_greater); - comparison1_test (1, nan_value, is_unordered); - comparison1_test (nan_value, nan_value, is_unordered); - comparison1_test (plus_infty, nan_value, is_unordered); - comparison1_test (minus_infty, nan_value, is_unordered); - comparison1_test (plus_infty, minus_infty, is_greater); -} - - -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; - - output_new_test (test_name); - 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, 3e-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, 2e-7)); - - 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, 2e-16L, 2e-7)); - - inverse_func_pair_test ("acosh(cosh(x)) == x", - FUNC(cosh), FUNC(acosh), 1.0, - CHOOSE (1e-18L, 1e-15L, 6e-8)); - 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; - - output_new_test ("sin^2 + cos^2 == 1"); - 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) -{ -#ifndef TEST_INLINE - 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; - - output_new_test ("sin/cos == tan"); - result = check_equal (res4, res3, epsilon, &diff); - output_result_ext ("sin/cos == tan", result, - res4, res3, diff, x, PRINT, PRINT); -#endif -} - - -/* 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; - - output_new_test ("cosh^2 - sinh^2 == 1"); - 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, 2e-16, 2e-7)); - identities1_test (0, 0); - identities1_test (-1, CHOOSE (1e-18L, 0, 1e-7)); - - identities2_test (0.2L, CHOOSE (1e-19L, 1e-16, 0)); - identities2_test (0.9L, CHOOSE (3e-19L, 1e-15, 2e-7)); - identities2_test (0, 0); - identities2_test (-1, CHOOSE (1e-18L, 1e-15, 2e-7)); - - 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, 7e-16, 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 <bits/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 = 4; - break; - case 's': - verbose = 0; - default: - break; - } - } -} - - -int -main (int argc, char *argv[]) -{ - - parse_options (argc, argv); - - initialize (); - printf (TEST_MSG); - - basic_tests (); - - /* keep the tests a wee bit ordered (according to ISO 9X) */ - /* classification functions */ - fpclassify_test (); - isfinite_test (); - isnormal_test (); - signbit_test (); - - comparisons_test (); - - /* trigonometric functions */ - acos_test (); - asin_test (); - atan_test (); - atan2_test (); - cos_test (); - sin_test (); - sincos_test (); - tan_test (); - - /* hyperbolic functions */ - acosh_test (); - asinh_test (); - atanh_test (); - cosh_test (); - sinh_test (); - tanh_test (); - - /* exponential and logarithmic functions */ - exp_test (); - exp10_test (); - exp2_test (); - expm1_test (); - frexp_test (); - ldexp_test (); - log_test (); - log10_test (); - log1p_test (); - log2_test (); - logb_test (); - modf_test (); - ilogb_test (); - scalb_test (); - scalbn_test (); - - /* power and absolute value functions */ - cbrt_test (); - fabs_test (); - hypot_test (); - pow_test (); - sqrt_test (); - - /* error and gamma functions */ - erf_test (); - erfc_test (); - gamma_test (); - tgamma_test (); - lgamma_test (); - - /* nearest integer functions */ - ceil_test (); - floor_test (); - nearbyint_test (); - rint_test (); - lrint_test (); - llrint_test (); - round_test (); - lround_test (); - llround_test (); - trunc_test (); - - /* remainder functions */ - fmod_test (); - remainder_test (); - remquo_test (); - - /* manipulation functions */ - copysign_test (); - nextafter_test (); - - /* maximum, minimum and positive difference functions */ - fdim_test (); - fmin_test (); - fmax_test (); - - /* complex functions */ - cabs_test (); - carg_test (); - cexp_test (); - csin_test (); - csinh_test (); - ccos_test (); - ccosh_test (); - clog_test (); - clog10_test (); - cacos_test (); - cacosh_test (); - casin_test (); - casinh_test (); - catan_test (); - catanh_test (); - ctan_test (); - ctanh_test (); - csqrt_test (); - cpow_test (); - - /* multiply and add */ - fma_test (); - - /* Bessel functions */ - j0_test (); - j1_test (); - jn_test (); - y0_test (); - y1_test (); - yn_test (); - - /* special tests */ - identities (); - inverse_functions (); - - printf ("\nTest suite completed:\n"); - printf (" %d test cases plus %d tests for exception flags executed.\n", - noTests, noExcTests); - if (noErrors) - { - printf (" %d errors occured.\n", noErrors); - exit (1); - } - printf (" All tests passed successfully.\n"); - exit (0); -} |