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Diffstat (limited to 'math/libm-test.inc')
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diff --git a/math/libm-test.inc b/math/libm-test.inc new file mode 100644 index 0000000..74bdd03 --- /dev/null +++ b/math/libm-test.inc @@ -0,0 +1,3950 @@ +/* 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 is processed by a perl script. The resulting 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) + FLOAT: floating point type to test + - TEST_MSG: informal message to be displayed + CHOOSE(Clongdouble,Cdouble,Cfloat,Cinlinelongdouble,Cinlinedouble,Cinlinefloat): + chooses one of the parameters as delta for testing + equality + PRINTF_EXPR Floating point conversion specification to print a variable + of type FLOAT 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. + PRINTF_NEXPR Like PRINTF_EXPR, but print nice. */ + +/* This testsuite has currently 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, scalbln, 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, cproj, csin, csinh, csqrt, ctan, ctanh. + + At the moment the following functions aren't tested: + conj, cimag, creal, drem, + significand, + nan + + Parameter handling is primitive in the moment: + --verbose=[0..3] for different levels of output: + 0: only error count + 1: basic report on failed tests (default) + 2: full report on all tests + -v for full output (equals --verbose=3) + -u for generation of an ULPs file + */ + +/* "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 "libm-test-ulps.h" +#include <complex.h> +#include <math.h> +#include <float.h> +#include <fenv.h> + +#include <errno.h> +#include <stdlib.h> +#include <stdio.h> +#include <argp.h> + +/* Possible exceptions */ +#define NO_EXCEPTION 0x0 +#define INVALID_EXCEPTION 0x1 +#define DIVIDE_BY_ZERO_EXCEPTION 0x2 +/* The next flags signals that those exceptions are allowed but not required. */ +#define INVALID_EXCEPTION_OK 0x4 +#define DIVIDE_BY_ZERO_EXCEPTION_OK 0x8 +#define EXCEPTIONS_OK INVALID_EXCEPTION_OK+DIVIDE_BY_ZERO_EXCEPTION_OK +/* Some special test flags, passed togther with exceptions. */ +#define IGNORE_ZERO_INF_SIGN 0x10 + +/* Various constants (we must supply them precalculated for accuracy). */ +#define M_PI_6l .52359877559829887308L +#define M_E2l 7.389056098930650227230L +#define M_E3l 20.08553692318766774093L +#define M_2_SQRT_PIl 3.5449077018110320545963L /* 2 sqrt (M_PIl) */ +#define M_SQRT_PIl 1.77245385090551602729817L /* sqrt (M_PIl) */ +#define M_LOG_SQRT_PIl 0.572364942924700087072L /* log(sqrt(M_PIl)) */ +#define M_LOG_2_SQRT_PIl 1.265512123484645396489L /* log(2*sqrt(M_PIl)) */ +#define M_PI_34l (M_PIl - M_PI_4l) /* 3*pi/4 */ +#define M_PI_34_LOG10El (M_PIl - M_PI_4l) * M_LOG10El +#define M_PI2_LOG10El M_PI_2l * M_LOG10El +#define M_PI4_LOG10El M_PI_4l * M_LOG10El +#define M_PI_LOG10El M_PIl * M_LOG10El + +static FILE *ulps_file; /* File to document difference. */ +static int output_ulps; /* Should ulps printed? */ + +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 noXFails; /* number of expected failures. */ +static int noXPasses; /* number of unexpected passes. */ + +static int verbose; +static int output_max_error; /* Should the maximal errors printed? */ +static int output_points; /* Should the single function results printed? */ + +static FLOAT minus_zero, plus_zero; +static FLOAT plus_infty, minus_infty, nan_value; + +static FLOAT max_error; + + +#define BUILD_COMPLEX(real, imag) \ + ({ __complex__ FLOAT __retval; \ + __real__ __retval = (real); \ + __imag__ __retval = (imag); \ + __retval; }) + + +#define MANT_DIG CHOOSE ((LDBL_MANT_DIG-1), (DBL_MANT_DIG-1), (FLT_MANT_DIG-1), \ + (LDBL_MANT_DIG-1), (DBL_MANT_DIG-1), (FLT_MANT_DIG-1)) + +static void +init_max_error (void) +{ + max_error = 0; +} + +static void +set_max_error (FLOAT current) +{ + if (current > max_error) + max_error = current; +} + + +/* Should the message print to screen? This depends on the verbose flag, + and the test status. */ +static int +print_screen (int ok, int xfail) +{ + if (output_points + && (verbose > 1 + || ((verbose == 1) && (ok == xfail)))) + return 1; + return 0; +} + + +/* Should the message print to screen? This depends on the verbose flag, + and the test status. */ +static int +print_screen_max_error (int ok, int xfail) +{ + if (output_max_error + && (verbose > 1 + || ((verbose == 1) && (ok == xfail)))) + return 1; + return 0; +} + +/* Update statistic counters. */ +static void +update_stats (int ok, int xfail) +{ + ++noTests; + if (ok && xfail) + ++noXPasses; + else if (!ok && xfail) + ++noXFails; + else if (!ok && !xfail) + ++noErrors; +} + +static void +print_ulps (const char *test_name, FLOAT ulp) +{ + if (output_ulps) + { + fprintf (ulps_file, "Test \"%s\":\n", test_name); + fprintf (ulps_file, "%s: % .4" PRINTF_NEXPR "\n", + CHOOSE("ldouble", "double", "float", + "ildouble", "idouble", "ifloat"), ulp); + } +} + +static void +print_function_ulps (const char *function_name, FLOAT ulp) +{ + if (output_ulps) + { + fprintf (ulps_file, "Function \"%s\":\n", function_name); + fprintf (ulps_file, "%s: % .4" PRINTF_NEXPR "\n", + CHOOSE("ldouble", "double", "float", + "ildouble", "idouble", "ifloat"), ulp); + } +} + + + +/* 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 +} + + +static void +print_max_error (const char *func_name, FLOAT allowed, int xfail) +{ + char str[500]; + int ok = 0; + + sprintf (str, "Maximal error of `%s':", func_name); + + if (max_error <= allowed) + { + ok = 1; + } + + if (!ok) + print_function_ulps (func_name, max_error); + + + if (print_screen_max_error (ok, xfail)) + { + printf ("%s\n", str); + printf (" is : % .4" PRINTF_NEXPR " ulp\n", max_error); + printf (" accepted: % .4" PRINTF_NEXPR " ulp\n", allowed); + } + + update_stats (ok, xfail); +} + + +/* Test whether a given exception was raised. */ +static void +test_single_exception (const char *test_name, + int exception, + int exc_flag, + int fe_flag, + const char *flag_name) +{ +#ifndef TEST_INLINE + int ok = 1; + if (exception & exc_flag) + { + if (fetestexcept (fe_flag)) + { + if (print_screen (1, 0)) + printf ("Pass: %s: Exception \"%s\" set\n", test_name, flag_name); + } + else + { + ok = 0; + if (print_screen (0, 0)) + printf ("Failure: %s: Exception \"%s\" not set\n", + test_name, flag_name); + } + } + else + { + if (fetestexcept (fe_flag)) + { + ok = 0; + if (print_screen (0, 0)) + printf ("Failure: %s: Exception \"%s\" set\n", + test_name, flag_name); + } + else + { + if (print_screen (1, 0)) + printf ("%s: Exception \"%s\" not set\n", test_name, + flag_name); + } + } + if (!ok) + ++noErrors; + +#endif +} + + +/* Test whether exceptions given by EXCEPTION are raised. Ignore thereby + allowed but not required exceptions. +*/ +static void +test_exceptions (const char *test_name, int exception) +{ + ++noExcTests; +#ifdef FE_DIVBYZERO + if ((exception & DIVIDE_BY_ZERO_EXCEPTION_OK) == 0) + test_single_exception (test_name, exception, + DIVIDE_BY_ZERO_EXCEPTION, FE_DIVBYZERO, + "Divide by zero"); +#endif +#ifdef FE_INVALID + if ((exception & INVALID_EXCEPTION_OK) == 0) + test_single_exception (test_name, exception, INVALID_EXCEPTION, FE_INVALID, + "Invalid operation"); +#endif + feclearexcept (FE_ALL_EXCEPT); +} + + +static void +check_float (const char *test_name, FLOAT computed, FLOAT expected, + FLOAT max_ulp, int xfail, int exceptions) +{ + int ok = 0; + int print_diff = 0; + FLOAT diff = 0; + FLOAT ulp = 0; + + test_exceptions (test_name, exceptions); + if (isnan (computed) && isnan (expected)) + ok = 1; + else if (isinf (computed) && isinf (expected)) + { + /* Test for sign of infinities. */ + if (((exceptions & IGNORE_ZERO_INF_SIGN) == 0) + && (isinf (computed) != isinf (expected))) + { + ok = 0; + printf ("infinity has wrong sign.\n"); + } + else + ok = 1; + } + /* Don't calc ulp for NaNs or infinities. */ + else if (isinf (computed) || isnan (computed) || isinf (expected) || isnan (expected)) + ok = 0; + else + { + diff = FUNC(fabs) (computed - expected); + /* ilogb (0) isn't allowed. */ + if (expected == 0.0) + ulp = diff / FUNC(ldexp) (1.0, - MANT_DIG); + else + ulp = diff / FUNC(ldexp) (1.0, FUNC(ilogb) (expected) - MANT_DIG); + set_max_error (ulp); + print_diff = 1; + if (((exceptions & IGNORE_ZERO_INF_SIGN) == 0) + && (computed == 0.0 && expected == 0.0 + && signbit(computed) != signbit (expected))) + { + ok = 0; + print_ulps (test_name, ulp); + } + else if (ulp <= max_ulp) + ok = 1; + else + { + ok = 0; + print_ulps (test_name, ulp); + } + + } + if (print_screen (ok, xfail)) + { + if (!ok) + printf ("Failure: "); + printf ("Test: %s\n", test_name); + 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", diff, diff); + printf (" ulp : % .4" PRINTF_NEXPR "\n", ulp); + printf (" max.ulp : % .4" PRINTF_NEXPR "\n", max_ulp); + } + } + update_stats (ok, xfail); + + fpstack_test (test_name); +} + + +static void +check_complex (const char *test_name, FLOAT __complex__ computed, + FLOAT __complex__ expected, + FLOAT max_ulp, int xfail, int exception) +{ + FLOAT part_comp, part_exp; + char str[200]; + + sprintf (str, "Real part of: %s", test_name); + part_comp = __real__ computed; + part_exp = __real__ expected; + check_float (str, part_comp, part_exp, max_ulp, xfail, exception); + + sprintf (str, "Complex part of: %s", test_name); + part_comp = __imag__ computed; + part_exp = __imag__ expected; + /* Don't check again for exceptions, just pass through the + zero/inf sign test. */ + check_float (str, part_comp, part_exp, max_ulp, xfail, + exception & IGNORE_ZERO_INF_SIGN); +} + + +/* Check that computed and expected values are equal (int values). */ +static void +check_int (const char *test_name, int computed, int expected, int max_ulp, + int xfail, int exceptions) +{ + int diff = computed - expected; + int ok = 0; + + test_exceptions (test_name, exceptions); + noTests++; + if (abs (diff) <= max_ulp) + ok = 1; + + if (!ok) + print_ulps (test_name, diff); + + if (print_screen (ok, xfail)) + { + if (!ok) + printf ("Failure: "); + printf ("Test: %s\n", test_name); + printf ("Result:\n"); + printf (" is: %d\n", computed); + printf (" should be: %d\n", expected); + } + + update_stats (ok, xfail); + 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 max_ulp, int xfail, int exceptions) +{ + long int diff = computed - expected; + int ok = 0; + + test_exceptions (test_name, exceptions); + noTests++; + if (labs (diff) <= max_ulp) + ok = 1; + + if (!ok) + print_ulps (test_name, diff); + + if (print_screen (ok, xfail)) + { + if (!ok) + printf ("Failure: "); + printf ("Test: %s\n", test_name); + printf ("Result:\n"); + printf (" is: %ld\n", computed); + printf (" should be: %ld\n", expected); + } + + update_stats (ok, xfail); + fpstack_test (test_name); +} + + +/* Check that computed value is true/false. */ +static void +check_bool (const char *test_name, int computed, int expected, + long int max_ulp, int xfail, int exceptions) +{ + int ok = 0; + + test_exceptions (test_name, exceptions); + noTests++; + if ((computed == 0) == (expected == 0)) + ok = 1; + + if (print_screen (ok, xfail)) + { + if (!ok) + printf ("Failure: "); + printf ("Test: %s\n", test_name); + printf ("Result:\n"); + printf (" is: %d\n", computed); + printf (" should be: %d\n", expected); + } + + update_stats (ok, xfail); + fpstack_test (test_name); +} + + +/* check that computed and expected values are equal (long int values) */ +static void +check_longlong (const char *test_name, long long int computed, + long long int expected, + long long int max_ulp, int xfail, + int exceptions) +{ + long long int diff = computed - expected; + int ok = 0; + + test_exceptions (test_name, exceptions); + noTests++; + if (llabs (diff) <= max_ulp) + ok = 1; + + if (!ok) + print_ulps (test_name, diff); + + if (print_screen (ok, xfail)) + { + if (!ok) + printf ("Failure:"); + printf ("Test: %s\n", test_name); + printf ("Result:\n"); + printf (" is: %lld\n", computed); + printf (" should be: %lld\n", expected); + } + + update_stats (ok, xfail); + fpstack_test (test_name); +} + + + +/* This is to prevent messages from the SVID libm emulation. */ +int +matherr (struct exception *x __attribute__ ((unused))) +{ + return 1; +} + + +/**************************************************************************** + Tests for single functions of libm. + Please keep them alphabetically sorted! +****************************************************************************/ + +static void +acos_test (void) +{ + START (acos); + + TEST_f_f (acos, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_f_f (acos, minus_infty, nan_value, INVALID_EXCEPTION); + TEST_f_f (acos, nan_value, nan_value); + + /* |x| > 1: */ + TEST_f_f (acos, 1.1, nan_value, INVALID_EXCEPTION); + TEST_f_f (acos, -1.1, nan_value, INVALID_EXCEPTION); + + TEST_f_f (acos, 0, M_PI_2l); + TEST_f_f (acos, minus_zero, M_PI_2l); + TEST_f_f (acos, 1, 0); + TEST_f_f (acos, -1, M_PIl); + TEST_f_f (acos, 0.5, M_PI_6l*2.0); + TEST_f_f (acos, -0.5, M_PI_6l*4.0); + TEST_f_f (acos, 0.7, 0.7953988301841435554L); + + END (acos); +} + +static void +acosh_test (void) +{ + START (acosh); + + TEST_f_f (acosh, plus_infty, plus_infty); + TEST_f_f (acosh, minus_infty, nan_value, INVALID_EXCEPTION); + + /* x < 1: */ + TEST_f_f (acosh, -1.1, nan_value, INVALID_EXCEPTION); + + TEST_f_f (acosh, 1, 0); + TEST_f_f (acosh, 7, 2.6339157938496334172L); + + END (acosh); +} + +static void +asin_test (void) +{ + + START (asin); + + TEST_f_f (asin, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_f_f (asin, minus_infty, nan_value, INVALID_EXCEPTION); + TEST_f_f (asin, nan_value, nan_value); + + /* asin x == NaN plus invalid exception for |x| > 1. */ + TEST_f_f (asin, 1.1, nan_value, INVALID_EXCEPTION); + TEST_f_f (asin, -1.1, nan_value, INVALID_EXCEPTION); + + TEST_f_f (asin, 0, 0); + TEST_f_f (asin, minus_zero, minus_zero); + TEST_f_f (asin, 0.5, M_PI_6l); + TEST_f_f (asin, -0.5, -M_PI_6l); + TEST_f_f (asin, 1.0, M_PI_2l); + TEST_f_f (asin, -1.0, -M_PI_2l); + TEST_f_f (asin, 0.7, 0.7753974966107530637L); + + END (asin); +} + +static void +asinh_test (void) +{ + START (asinh); + + TEST_f_f (asinh, 0, 0); + TEST_f_f (asinh, minus_zero, minus_zero); + TEST_f_f (asinh, plus_infty, plus_infty); + TEST_f_f (asinh, minus_infty, minus_infty); + TEST_f_f (asinh, 0.7, 0.652666566082355786L); + + END (asinh); +} + +static void +atan_test (void) +{ + + START (atan); + + TEST_f_f (atan, 0, 0); + TEST_f_f (atan, minus_zero, minus_zero); + + TEST_f_f (atan, plus_infty, M_PI_2l); + TEST_f_f (atan, minus_infty, -M_PI_2l); + + TEST_f_f (atan, 1, M_PI_4l); + TEST_f_f (atan, -1, -M_PI_4l); + + TEST_f_f (atan, 0.7, 0.6107259643892086165L); + + END (atan); +} + + + +static void +atanh_test (void) +{ + + START (atanh); + + + TEST_f_f (atanh, 0, 0); + TEST_f_f (atanh, minus_zero, minus_zero); + + TEST_f_f (atanh, 1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_f_f (atanh, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + + /* atanh (x) == NaN plus invalid exception if |x| > 1. */ + TEST_f_f (atanh, 1.1, nan_value, INVALID_EXCEPTION); + TEST_f_f (atanh, -1.1, nan_value, INVALID_EXCEPTION); + + TEST_f_f (atanh, 0.7, 0.8673005276940531944L); + + END (atanh); +} + +static void +atan2_test (void) +{ + START (atan2); + + /* atan2 (0,x) == 0 for x > 0. */ + TEST_ff_f (atan2, 0, 1, 0); + + /* atan2 (-0,x) == -0 for x > 0. */ + TEST_ff_f (atan2, minus_zero, 1, minus_zero); + + TEST_ff_f (atan2, 0, 0, 0); + TEST_ff_f (atan2, minus_zero, 0, minus_zero); + + /* atan2 (+0,x) == +pi for x < 0. */ + TEST_ff_f (atan2, 0, -1, M_PIl); + + /* atan2 (-0,x) == -pi for x < 0. */ + TEST_ff_f (atan2, minus_zero, -1, -M_PIl); + + TEST_ff_f (atan2, 0, minus_zero, M_PIl); + TEST_ff_f (atan2, minus_zero, minus_zero, -M_PIl); + + /* atan2 (y,+0) == pi/2 for y > 0. */ + TEST_ff_f (atan2, 1, 0, M_PI_2l); + + /* atan2 (y,-0) == pi/2 for y > 0. */ + TEST_ff_f (atan2, 1, minus_zero, M_PI_2l); + + /* atan2 (y,+0) == -pi/2 for y < 0. */ + TEST_ff_f (atan2, -1, 0, -M_PI_2l); + + /* atan2 (y,-0) == -pi/2 for y < 0. */ + TEST_ff_f (atan2, -1, minus_zero, -M_PI_2l); + + /* atan2 (y,inf) == +0 for finite y > 0. */ + TEST_ff_f (atan2, 1, plus_infty, 0); + + /* atan2 (y,inf) == -0 for finite y < 0. */ + TEST_ff_f (atan2, -1, plus_infty, minus_zero); + + /* atan2(+inf, x) == pi/2 for finite x. */ + TEST_ff_f (atan2, plus_infty, -1, M_PI_2l); + + /* atan2(-inf, x) == -pi/2 for finite x. */ + TEST_ff_f (atan2, minus_infty, 1, -M_PI_2l); + + /* atan2 (y,-inf) == +pi for finite y > 0. */ + TEST_ff_f (atan2, 1, minus_infty, M_PIl); + + /* atan2 (y,-inf) == -pi for finite y < 0. */ + TEST_ff_f (atan2, -1, minus_infty, -M_PIl); + + TEST_ff_f (atan2, plus_infty, plus_infty, M_PI_4l); + TEST_ff_f (atan2, minus_infty, plus_infty, -M_PI_4l); + TEST_ff_f (atan2, plus_infty, minus_infty, M_PI_34l); + TEST_ff_f (atan2, minus_infty, minus_infty, -M_PI_34l); + + TEST_ff_f (atan2, 0.7, 1, 0.6107259643892086165L); + TEST_ff_f (atan2, 0.4, 0.0003, 1.5700463269355215718L); + + END (atan2); +} + + +static void +cabs_test (void) +{ + START (cabs); + + /* cabs (x + iy) is specified as hypot (x,y) */ + + /* cabs (+inf + i x) == +inf. */ + TEST_c_f (cabs, plus_infty, 1.0, plus_infty); + /* cabs (-inf + i x) == +inf. */ + TEST_c_f (cabs, minus_infty, 1.0, plus_infty); + + TEST_c_f (cabs, minus_infty, nan_value, plus_infty); + TEST_c_f (cabs, minus_infty, nan_value, plus_infty); + + TEST_c_f (cabs, nan_value, nan_value, nan_value); + + /* cabs (x,y) == cabs (y,x). */ + TEST_c_f (cabs, 0.7L, 12.4L, 12.41974234837422060118L); + /* cabs (x,y) == cabs (-x,y). */ + TEST_c_f (cabs, -12.4L, 0.7L, 12.41974234837422060118L); + /* cabs (x,y) == cabs (-y,x). */ + TEST_c_f (cabs, -0.7L, 12.4L, 12.41974234837422060118L); + /* cabs (x,y) == cabs (-x,-y). */ + TEST_c_f (cabs, -12.4L, -0.7L, 12.41974234837422060118L); + /* cabs (x,y) == cabs (-y,-x). */ + TEST_c_f (cabs, -0.7L, -12.4L, 12.41974234837422060118L); + /* cabs (x,0) == fabs (x). */ + TEST_c_f (cabs, -0.7L, 0, 0.7L); + TEST_c_f (cabs, 0.7L, 0, 0.7L); + TEST_c_f (cabs, -1.0L, 0, 1.0L); + TEST_c_f (cabs, 1.0L, 0, 1.0L); + TEST_c_f (cabs, -5.7e7L, 0, 5.7e7L); + TEST_c_f (cabs, 5.7e7L, 0, 5.7e7L); + + TEST_c_f (cabs, 0.7, 1.2, 1.3892443989449804508L); + + END (cabs); +} + +static void +cacos_test (void) +{ + START (cacos); + + + TEST_c_c (cacos, 0, 0, M_PI_2l, minus_zero); + TEST_c_c (cacos, minus_zero, 0, M_PI_2l, minus_zero); + TEST_c_c (cacos, minus_zero, minus_zero, M_PI_2l, 0.0); + TEST_c_c (cacos, 0, minus_zero, M_PI_2l, 0.0); + + TEST_c_c (cacos, minus_infty, plus_infty, M_PI_34l, minus_infty); + TEST_c_c (cacos, minus_infty, minus_infty, M_PI_34l, plus_infty); + + TEST_c_c (cacos, plus_infty, plus_infty, M_PI_4l, minus_infty); + TEST_c_c (cacos, plus_infty, minus_infty, M_PI_4l, plus_infty); + + TEST_c_c (cacos, -10.0, plus_infty, M_PI_2l, minus_infty); + TEST_c_c (cacos, -10.0, minus_infty, M_PI_2l, plus_infty); + TEST_c_c (cacos, 0, plus_infty, M_PI_2l, minus_infty); + TEST_c_c (cacos, 0, minus_infty, M_PI_2l, plus_infty); + TEST_c_c (cacos, 0.1, plus_infty, M_PI_2l, minus_infty); + TEST_c_c (cacos, 0.1, minus_infty, M_PI_2l, plus_infty); + + TEST_c_c (cacos, minus_infty, 0, M_PIl, minus_infty); + TEST_c_c (cacos, minus_infty, minus_zero, M_PIl, plus_infty); + TEST_c_c (cacos, minus_infty, 100, M_PIl, minus_infty); + TEST_c_c (cacos, minus_infty, -100, M_PIl, plus_infty); + + TEST_c_c (cacos, plus_infty, 0, 0.0, minus_infty); + TEST_c_c (cacos, plus_infty, minus_zero, 0.0, plus_infty); + TEST_c_c (cacos, plus_infty, 0.5, 0.0, minus_infty); + TEST_c_c (cacos, plus_infty, -0.5, 0.0, plus_infty); + + TEST_c_c (cacos, plus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN); + TEST_c_c (cacos, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (cacos, 0, nan_value, M_PI_2l, nan_value); + TEST_c_c (cacos, minus_zero, nan_value, M_PI_2l, nan_value); + + TEST_c_c (cacos, nan_value, plus_infty, nan_value, minus_infty); + TEST_c_c (cacos, nan_value, minus_infty, nan_value, plus_infty); + + TEST_c_c (cacos, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (cacos, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (cacos, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (cacos, nan_value, -0.75, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (cacos, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (cacos, 0.7, 1.2, 1.1351827477151551089L, -1.0927647857577371459L); + TEST_c_c (cacos, -2, -3, 2.1414491111159960199L, 1.9833870299165354323L); + + END (cacos); +} + + +static void +cacosh_test (void) +{ + START (cacosh); + + + TEST_c_c (cacosh, 0, 0, 0.0, M_PI_2l); + TEST_c_c (cacosh, minus_zero, 0, 0.0, M_PI_2l); + TEST_c_c (cacosh, 0, minus_zero, 0.0, -M_PI_2l); + TEST_c_c (cacosh, minus_zero, minus_zero, 0.0, -M_PI_2l); + TEST_c_c (cacosh, minus_infty, plus_infty, plus_infty, M_PI_34l); + TEST_c_c (cacosh, minus_infty, minus_infty, plus_infty, -M_PI_34l); + + TEST_c_c (cacosh, plus_infty, plus_infty, plus_infty, M_PI_4l); + TEST_c_c (cacosh, plus_infty, minus_infty, plus_infty, -M_PI_4l); + + TEST_c_c (cacosh, -10.0, plus_infty, plus_infty, M_PI_2l); + TEST_c_c (cacosh, -10.0, minus_infty, plus_infty, -M_PI_2l); + TEST_c_c (cacosh, 0, plus_infty, plus_infty, M_PI_2l); + TEST_c_c (cacosh, 0, minus_infty, plus_infty, -M_PI_2l); + TEST_c_c (cacosh, 0.1, plus_infty, plus_infty, M_PI_2l); + TEST_c_c (cacosh, 0.1, minus_infty, plus_infty, -M_PI_2l); + + TEST_c_c (cacosh, minus_infty, 0, plus_infty, M_PIl); + TEST_c_c (cacosh, minus_infty, minus_zero, plus_infty, -M_PIl); + TEST_c_c (cacosh, minus_infty, 100, plus_infty, M_PIl); + TEST_c_c (cacosh, minus_infty, -100, plus_infty, -M_PIl); + + TEST_c_c (cacosh, plus_infty, 0, plus_infty, 0.0); + TEST_c_c (cacosh, plus_infty, minus_zero, plus_infty, minus_zero); + TEST_c_c (cacosh, plus_infty, 0.5, plus_infty, 0.0); + TEST_c_c (cacosh, plus_infty, -0.5, plus_infty, minus_zero); + + TEST_c_c (cacosh, plus_infty, nan_value, plus_infty, nan_value); + TEST_c_c (cacosh, minus_infty, nan_value, plus_infty, nan_value); + + TEST_c_c (cacosh, 0, nan_value, nan_value, nan_value); + TEST_c_c (cacosh, minus_zero, nan_value, nan_value, nan_value); + + TEST_c_c (cacosh, nan_value, plus_infty, plus_infty, nan_value); + TEST_c_c (cacosh, nan_value, minus_infty, plus_infty, nan_value); + + TEST_c_c (cacosh, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (cacosh, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (cacosh, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (cacosh, nan_value, -0.75, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (cacosh, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (cacosh, 0.7, 1.2, 1.0927647857577371459L, 1.1351827477151551089L); + TEST_c_c (cacosh, -2, -3, -1.9833870299165354323L, 2.1414491111159960199L); + + END (cacosh); +} + +static void +carg_test (void) +{ + START (carg); + + /* carg (x + iy) is specified as atan2 (y, x) */ + + /* carg (x + i 0) == 0 for x > 0. */ + TEST_c_f (carg, 2.0, 0, 0); + /* carg (x - i 0) == -0 for x > 0. */ + TEST_c_f (carg, 2.0, minus_zero, minus_zero); + + TEST_c_f (carg, 0, 0, 0); + TEST_c_f (carg, 0, minus_zero, minus_zero); + + /* carg (x + i 0) == +pi for x < 0. */ + TEST_c_f (carg, -2.0, 0, M_PIl); + + /* carg (x - i 0) == -pi for x < 0. */ + TEST_c_f (carg, -2.0, minus_zero, -M_PIl); + + TEST_c_f (carg, minus_zero, 0, M_PIl); + TEST_c_f (carg, minus_zero, minus_zero, -M_PIl); + + /* carg (+0 + i y) == pi/2 for y > 0. */ + TEST_c_f (carg, 0, 2.0, M_PI_2l); + + /* carg (-0 + i y) == pi/2 for y > 0. */ + TEST_c_f (carg, minus_zero, 2.0, M_PI_2l); + + /* carg (+0 + i y) == -pi/2 for y < 0. */ + TEST_c_f (carg, 0, -2.0, -M_PI_2l); + + /* carg (-0 + i y) == -pi/2 for y < 0. */ + TEST_c_f (carg, minus_zero, -2.0, -M_PI_2l); + + /* carg (inf + i y) == +0 for finite y > 0. */ + TEST_c_f (carg, plus_infty, 2.0, 0); + + /* carg (inf + i y) == -0 for finite y < 0. */ + TEST_c_f (carg, plus_infty, -2.0, minus_zero); + + /* carg(x + i inf) == pi/2 for finite x. */ + TEST_c_f (carg, 10.0, plus_infty, M_PI_2l); + + /* carg(x - i inf) == -pi/2 for finite x. */ + TEST_c_f (carg, 10.0, minus_infty, -M_PI_2l); + + /* carg (-inf + i y) == +pi for finite y > 0. */ + TEST_c_f (carg, minus_infty, 10.0, M_PIl); + + /* carg (-inf + i y) == -pi for finite y < 0. */ + TEST_c_f (carg, minus_infty, -10.0, -M_PIl); + + TEST_c_f (carg, plus_infty, plus_infty, M_PI_4l); + + TEST_c_f (carg, plus_infty, minus_infty, -M_PI_4l); + + TEST_c_f (carg, minus_infty, plus_infty, 3 * M_PI_4l); + + TEST_c_f (carg, minus_infty, minus_infty, -3 * M_PI_4l); + + END (carg); +} + +static void +casin_test (void) +{ + START (casin); + + TEST_c_c (casin, 0, 0, 0.0, 0.0); + TEST_c_c (casin, minus_zero, 0, minus_zero, 0.0); + TEST_c_c (casin, 0, minus_zero, 0.0, minus_zero); + TEST_c_c (casin, minus_zero, minus_zero, minus_zero, minus_zero); + + TEST_c_c (casin, plus_infty, plus_infty, M_PI_4l, plus_infty); + TEST_c_c (casin, plus_infty, minus_infty, M_PI_4l, minus_infty); + TEST_c_c (casin, minus_infty, plus_infty, -M_PI_4l, plus_infty); + TEST_c_c (casin, minus_infty, minus_infty, -M_PI_4l, minus_infty); + + TEST_c_c (casin, -10.0, plus_infty, minus_zero, plus_infty); + TEST_c_c (casin, -10.0, minus_infty, minus_zero, minus_infty); + TEST_c_c (casin, 0, plus_infty, 0.0, plus_infty); + TEST_c_c (casin, 0, minus_infty, 0.0, minus_infty); + TEST_c_c (casin, minus_zero, plus_infty, minus_zero, plus_infty); + TEST_c_c (casin, minus_zero, minus_infty, minus_zero, minus_infty); + TEST_c_c (casin, 0.1, plus_infty, 0.0, plus_infty); + TEST_c_c (casin, 0.1, minus_infty, 0.0, minus_infty); + + TEST_c_c (casin, minus_infty, 0, -M_PI_2l, plus_infty); + TEST_c_c (casin, minus_infty, minus_zero, -M_PI_2l, minus_infty); + TEST_c_c (casin, minus_infty, 100, -M_PI_2l, plus_infty); + TEST_c_c (casin, minus_infty, -100, -M_PI_2l, minus_infty); + + TEST_c_c (casin, plus_infty, 0, M_PI_2l, plus_infty); + TEST_c_c (casin, plus_infty, minus_zero, M_PI_2l, minus_infty); + TEST_c_c (casin, plus_infty, 0.5, M_PI_2l, plus_infty); + TEST_c_c (casin, plus_infty, -0.5, M_PI_2l, minus_infty); + + TEST_c_c (casin, nan_value, plus_infty, nan_value, plus_infty); + TEST_c_c (casin, nan_value, minus_infty, nan_value, minus_infty); + + TEST_c_c (casin, 0.0, nan_value, 0.0, nan_value); + TEST_c_c (casin, minus_zero, nan_value, minus_zero, nan_value); + + TEST_c_c (casin, plus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN); + TEST_c_c (casin, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (casin, nan_value, 10.5, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (casin, nan_value, -10.5, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (casin, 0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (casin, -0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (casin, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (casin, 0.7, 1.2, 0.4356135790797415103L, 1.0927647857577371459L); + TEST_c_c (casin, -2, -3, -0.5706527843210994007L, -1.9833870299165354323L); + + END (casin); +} + + +static void +casinh_test (void) +{ + START (casinh); + + TEST_c_c (casinh, 0, 0, 0.0, 0.0); + TEST_c_c (casinh, minus_zero, 0, minus_zero, 0); + TEST_c_c (casinh, 0, minus_zero, 0.0, minus_zero); + TEST_c_c (casinh, minus_zero, minus_zero, minus_zero, minus_zero); + + TEST_c_c (casinh, plus_infty, plus_infty, plus_infty, M_PI_4l); + TEST_c_c (casinh, plus_infty, minus_infty, plus_infty, -M_PI_4l); + TEST_c_c (casinh, minus_infty, plus_infty, minus_infty, M_PI_4l); + TEST_c_c (casinh, minus_infty, minus_infty, minus_infty, -M_PI_4l); + + TEST_c_c (casinh, -10.0, plus_infty, minus_infty, M_PI_2l); + TEST_c_c (casinh, -10.0, minus_infty, minus_infty, -M_PI_2l); + TEST_c_c (casinh, 0, plus_infty, plus_infty, M_PI_2l); + TEST_c_c (casinh, 0, minus_infty, plus_infty, -M_PI_2l); + TEST_c_c (casinh, minus_zero, plus_infty, minus_infty, M_PI_2l); + TEST_c_c (casinh, minus_zero, minus_infty, minus_infty, -M_PI_2l); + TEST_c_c (casinh, 0.1, plus_infty, plus_infty, M_PI_2l); + TEST_c_c (casinh, 0.1, minus_infty, plus_infty, -M_PI_2l); + + TEST_c_c (casinh, minus_infty, 0, minus_infty, 0.0); + TEST_c_c (casinh, minus_infty, minus_zero, minus_infty, minus_zero); + TEST_c_c (casinh, minus_infty, 100, minus_infty, 0.0); + TEST_c_c (casinh, minus_infty, -100, minus_infty, minus_zero); + + TEST_c_c (casinh, plus_infty, 0, plus_infty, 0.0); + TEST_c_c (casinh, plus_infty, minus_zero, plus_infty, minus_zero); + TEST_c_c (casinh, plus_infty, 0.5, plus_infty, 0.0); + TEST_c_c (casinh, plus_infty, -0.5, plus_infty, minus_zero); + + TEST_c_c (casinh, plus_infty, nan_value, plus_infty, nan_value); + TEST_c_c (casinh, minus_infty, nan_value, minus_infty, nan_value); + + TEST_c_c (casinh, nan_value, 0, nan_value, 0.0); + TEST_c_c (casinh, nan_value, minus_zero, nan_value, minus_zero); + + TEST_c_c (casinh, nan_value, plus_infty, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN); + TEST_c_c (casinh, nan_value, minus_infty, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (casinh, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (casinh, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (casinh, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (casinh, -0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (casinh, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (casinh, 0.7, 1.2, 0.9786545955936738768L, 0.9113541895315601156L); + TEST_c_c (casinh, -2, -3, -1.9686379257930962917L, -0.9646585044076027920L); + + END (casinh); +} + + +static void +catan_test (void) +{ + START (catan); + + TEST_c_c (catan, 0, 0, 0, 0); + TEST_c_c (catan, minus_zero, 0, minus_zero, 0); + TEST_c_c (catan, 0, minus_zero, 0, minus_zero); + TEST_c_c (catan, minus_zero, minus_zero, minus_zero, minus_zero); + + TEST_c_c (catan, plus_infty, plus_infty, M_PI_2l, 0); + TEST_c_c (catan, plus_infty, minus_infty, M_PI_2l, minus_zero); + TEST_c_c (catan, minus_infty, plus_infty, -M_PI_2l, 0); + TEST_c_c (catan, minus_infty, minus_infty, -M_PI_2l, minus_zero); + + + TEST_c_c (catan, plus_infty, -10.0, M_PI_2l, minus_zero); + TEST_c_c (catan, minus_infty, -10.0, -M_PI_2l, minus_zero); + TEST_c_c (catan, plus_infty, minus_zero, M_PI_2l, minus_zero); + TEST_c_c (catan, minus_infty, minus_zero, -M_PI_2l, minus_zero); + TEST_c_c (catan, plus_infty, 0.0, M_PI_2l, 0); + TEST_c_c (catan, minus_infty, 0.0, -M_PI_2l, 0); + TEST_c_c (catan, plus_infty, 0.1, M_PI_2l, 0); + TEST_c_c (catan, minus_infty, 0.1, -M_PI_2l, 0); + + TEST_c_c (catan, 0.0, minus_infty, M_PI_2l, minus_zero); + TEST_c_c (catan, minus_zero, minus_infty, -M_PI_2l, minus_zero); + TEST_c_c (catan, 100.0, minus_infty, M_PI_2l, minus_zero); + TEST_c_c (catan, -100.0, minus_infty, -M_PI_2l, minus_zero); + + TEST_c_c (catan, 0.0, plus_infty, M_PI_2l, 0); + TEST_c_c (catan, minus_zero, plus_infty, -M_PI_2l, 0); + TEST_c_c (catan, 0.5, plus_infty, M_PI_2l, 0); + TEST_c_c (catan, -0.5, plus_infty, -M_PI_2l, 0); + + TEST_c_c (catan, nan_value, 0.0, nan_value, 0); + TEST_c_c (catan, nan_value, minus_zero, nan_value, minus_zero); + + TEST_c_c (catan, nan_value, plus_infty, nan_value, 0); + TEST_c_c (catan, nan_value, minus_infty, nan_value, minus_zero); + + TEST_c_c (catan, 0.0, nan_value, nan_value, nan_value); + TEST_c_c (catan, minus_zero, nan_value, nan_value, nan_value); + + TEST_c_c (catan, plus_infty, nan_value, M_PI_2l, 0, IGNORE_ZERO_INF_SIGN); + TEST_c_c (catan, minus_infty, nan_value, -M_PI_2l, 0, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (catan, nan_value, 10.5, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (catan, nan_value, -10.5, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (catan, 0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (catan, -0.75, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (catan, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (catan, 0.7, 1.2, 1.0785743834118921877L, 0.5770573776534306764L); + + TEST_c_c (catan, -2, -3, -1.4099210495965755225L, -0.2290726829685387662L); + + END (catan); +} + +static void +catanh_test (void) +{ + START (catanh); + + TEST_c_c (catanh, 0, 0, 0.0, 0.0); + TEST_c_c (catanh, minus_zero, 0, minus_zero, 0.0); + TEST_c_c (catanh, 0, minus_zero, 0.0, minus_zero); + TEST_c_c (catanh, minus_zero, minus_zero, minus_zero, minus_zero); + + TEST_c_c (catanh, plus_infty, plus_infty, 0.0, M_PI_2l); + TEST_c_c (catanh, plus_infty, minus_infty, 0.0, -M_PI_2l); + TEST_c_c (catanh, minus_infty, plus_infty, minus_zero, M_PI_2l); + TEST_c_c (catanh, minus_infty, minus_infty, minus_zero, -M_PI_2l); + + TEST_c_c (catanh, -10.0, plus_infty, minus_zero, M_PI_2l); + TEST_c_c (catanh, -10.0, minus_infty, minus_zero, -M_PI_2l); + TEST_c_c (catanh, minus_zero, plus_infty, minus_zero, M_PI_2l); + TEST_c_c (catanh, minus_zero, minus_infty, minus_zero, -M_PI_2l); + TEST_c_c (catanh, 0, plus_infty, 0.0, M_PI_2l); + TEST_c_c (catanh, 0, minus_infty, 0.0, -M_PI_2l); + TEST_c_c (catanh, 0.1, plus_infty, 0.0, M_PI_2l); + TEST_c_c (catanh, 0.1, minus_infty, 0.0, -M_PI_2l); + + TEST_c_c (catanh, minus_infty, 0, minus_zero, M_PI_2l); + TEST_c_c (catanh, minus_infty, minus_zero, minus_zero, -M_PI_2l); + TEST_c_c (catanh, minus_infty, 100, minus_zero, M_PI_2l); + TEST_c_c (catanh, minus_infty, -100, minus_zero, -M_PI_2l); + + TEST_c_c (catanh, plus_infty, 0, 0.0, M_PI_2l); + TEST_c_c (catanh, plus_infty, minus_zero, 0.0, -M_PI_2l); + TEST_c_c (catanh, plus_infty, 0.5, 0.0, M_PI_2l); + TEST_c_c (catanh, plus_infty, -0.5, 0.0, -M_PI_2l); + + TEST_c_c (catanh, 0, nan_value, 0.0, nan_value); + TEST_c_c (catanh, minus_zero, nan_value, minus_zero, nan_value); + + TEST_c_c (catanh, plus_infty, nan_value, 0.0, nan_value); + TEST_c_c (catanh, minus_infty, nan_value, minus_zero, nan_value); + + TEST_c_c (catanh, nan_value, 0, nan_value, nan_value); + TEST_c_c (catanh, nan_value, minus_zero, nan_value, nan_value); + + TEST_c_c (catanh, nan_value, plus_infty, 0.0, M_PI_2l, IGNORE_ZERO_INF_SIGN); + TEST_c_c (catanh, nan_value, minus_infty, 0.0, -M_PI_2l, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (catanh, 10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (catanh, -10.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (catanh, nan_value, 0.75, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (catanh, nan_value, -0.75, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (catanh, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (catanh, 0.7, 1.2, 0.2600749516525135959L, 0.9702403077950989849L); + TEST_c_c (catanh, -2, -3, -0.1469466662255297520L, -1.3389725222944935611L); + + END (catanh); +} + +static void +cbrt_test (void) +{ + START (cbrt); + + TEST_f_f (cbrt, 0.0, 0.0); + TEST_f_f (cbrt, minus_zero, minus_zero); + + TEST_f_f (cbrt, plus_infty, plus_infty); + TEST_f_f (cbrt, minus_infty, minus_infty); + TEST_f_f (cbrt, nan_value, nan_value); + + TEST_f_f (cbrt, -0.001, -0.1); + TEST_f_f (cbrt, 8, 2); + TEST_f_f (cbrt, -27.0, -3.0); + TEST_f_f (cbrt, 0.970299, 0.99); + TEST_f_f (cbrt, 0.7, 0.8879040017426007084L); + + END (cbrt); +} + +static void +ccos_test (void) +{ + + START (ccos); + + TEST_c_c (ccos, 0.0, 0.0, 1.0, minus_zero); + TEST_c_c (ccos, minus_zero, 0.0, 1.0, 0.0); + TEST_c_c (ccos, 0.0, minus_zero, 1.0, 0.0); + TEST_c_c (ccos, minus_zero, minus_zero, 1.0, minus_zero); + + TEST_c_c (ccos, plus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccos, plus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccos, minus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccos, minus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + + TEST_c_c (ccos, 0.0, plus_infty, plus_infty, minus_zero); + TEST_c_c (ccos, 0.0, minus_infty, plus_infty, 0.0); + TEST_c_c (ccos, minus_zero, plus_infty, plus_infty, 0.0); + TEST_c_c (ccos, minus_zero, minus_infty, plus_infty, minus_zero); + + TEST_c_c (ccos, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccos, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccos, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccos, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + + TEST_c_c (ccos, 4.625, plus_infty, minus_infty, plus_infty); + TEST_c_c (ccos, 4.625, minus_infty, minus_infty, minus_infty); + TEST_c_c (ccos, -4.625, plus_infty, minus_infty, minus_infty); + TEST_c_c (ccos, -4.625, minus_infty, minus_infty, plus_infty); + + TEST_c_c (ccos, plus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccos, plus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccos, minus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccos, minus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (ccos, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccos, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (ccos, nan_value, plus_infty, plus_infty, nan_value); + TEST_c_c (ccos, nan_value, minus_infty, plus_infty, nan_value); + + TEST_c_c (ccos, nan_value, 9.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ccos, nan_value, -9.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ccos, 0.0, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccos, minus_zero, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (ccos, 10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ccos, -10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ccos, plus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ccos, minus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ccos, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (ccos, 0.7, 1.2, 1.3848657645312111080L, -0.97242170335830028619L); + + TEST_c_c (ccos, -2, -3, -4.1896256909688072301L, -9.1092278937553365979L); + + END (ccos); +} + + +static void +ccosh_test (void) +{ + + START (ccosh); + + TEST_c_c (ccosh, 0.0, 0.0, 1.0, 0.0); + TEST_c_c (ccosh, minus_zero, 0.0, 1.0, minus_zero); + TEST_c_c (ccosh, 0.0, minus_zero, 1.0, minus_zero); + TEST_c_c (ccosh, minus_zero, minus_zero, 1.0, 0.0); + + TEST_c_c (ccosh, 0.0, plus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccosh, minus_zero, plus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccosh, 0.0, minus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccosh, minus_zero, minus_infty, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + + TEST_c_c (ccosh, plus_infty, 0.0, plus_infty, 0.0); + TEST_c_c (ccosh, minus_infty, 0.0, plus_infty, minus_zero); + TEST_c_c (ccosh, plus_infty, minus_zero, plus_infty, minus_zero); + TEST_c_c (ccosh, minus_infty, minus_zero, plus_infty, 0.0); + + TEST_c_c (ccosh, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccosh, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccosh, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccosh, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + + TEST_c_c (ccosh, plus_infty, 4.625, minus_infty, minus_infty); + TEST_c_c (ccosh, minus_infty, 4.625, minus_infty, plus_infty); + TEST_c_c (ccosh, plus_infty, -4.625, minus_infty, plus_infty); + TEST_c_c (ccosh, minus_infty, -4.625, minus_infty, minus_infty); + + TEST_c_c (ccosh, 6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccosh, -6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccosh, 6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ccosh, -6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (ccosh, 0.0, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccosh, minus_zero, nan_value, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (ccosh, plus_infty, nan_value, plus_infty, nan_value); + TEST_c_c (ccosh, minus_infty, nan_value, plus_infty, nan_value); + + TEST_c_c (ccosh, 9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ccosh, -9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ccosh, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + TEST_c_c (ccosh, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (ccosh, nan_value, 10.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ccosh, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ccosh, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ccosh, nan_value, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ccosh, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (ccosh, 0.7, 1.2, 0.4548202223691477654L, 0.7070296600921537682L); + + TEST_c_c (ccosh, -2, -3, -3.7245455049153225654L, 0.5118225699873846088L); + + END (ccosh); +} + + +static void +ceil_test (void) +{ + START (ceil); + + TEST_f_f (ceil, 0.0, 0.0); + TEST_f_f (ceil, minus_zero, minus_zero); + TEST_f_f (ceil, plus_infty, plus_infty); + TEST_f_f (ceil, minus_infty, minus_infty); + + TEST_f_f (ceil, M_PIl, 4.0); + TEST_f_f (ceil, -M_PIl, -3.0); + + END (ceil); +} + + +static void +cexp_test (void) +{ + START (cexp); + + TEST_c_c (cexp, plus_zero, plus_zero, 1, 0.0); + TEST_c_c (cexp, minus_zero, plus_zero, 1, 0.0); + TEST_c_c (cexp, plus_zero, minus_zero, 1, minus_zero); + TEST_c_c (cexp, minus_zero, minus_zero, 1, minus_zero); + + TEST_c_c (cexp, plus_infty, plus_zero, plus_infty, 0.0); + TEST_c_c (cexp, plus_infty, minus_zero, plus_infty, minus_zero); + + TEST_c_c (cexp, minus_infty, plus_zero, 0.0, 0.0); + TEST_c_c (cexp, minus_infty, minus_zero, 0.0, minus_zero); + + TEST_c_c (cexp, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (cexp, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (cexp, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (cexp, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (cexp, 100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (cexp, -100.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (cexp, 100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (cexp, -100.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (cexp, minus_infty, 2.0, minus_zero, 0.0); + TEST_c_c (cexp, minus_infty, 4.0, minus_zero, minus_zero); + TEST_c_c (cexp, plus_infty, 2.0, minus_infty, plus_infty); + TEST_c_c (cexp, plus_infty, 4.0, minus_infty, minus_infty); + + TEST_c_c (cexp, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (cexp, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + + TEST_c_c (cexp, minus_infty, plus_infty, 0.0, 0.0, IGNORE_ZERO_INF_SIGN); + TEST_c_c (cexp, minus_infty, minus_infty, 0.0, minus_zero, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (cexp, minus_infty, nan_value, 0, 0, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (cexp, plus_infty, nan_value, plus_infty, nan_value); + + TEST_c_c (cexp, nan_value, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (cexp, nan_value, 1.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (cexp, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (cexp, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (cexp, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (cexp, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (cexp, 0.7, 1.2, 0.7296989091503236012L, 1.8768962328348102821L); + TEST_c_c (cexp, -2.0, -3.0, -0.1339809149295426134L, -0.0190985162611351964L); + + END (cexp); +} + +static void +clog_test (void) +{ + START (clog); + + TEST_c_c (clog, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION); + TEST_c_c (clog, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_c_c (clog, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION); + TEST_c_c (clog, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_c_c (clog, minus_infty, plus_infty, plus_infty, M_PI_34l); + TEST_c_c (clog, minus_infty, minus_infty, plus_infty, -M_PI_34l); + + TEST_c_c (clog, plus_infty, plus_infty, plus_infty, M_PI_4l); + TEST_c_c (clog, plus_infty, minus_infty, plus_infty, -M_PI_4l); + + TEST_c_c (clog, 0, plus_infty, plus_infty, M_PI_2l); + TEST_c_c (clog, 3, plus_infty, plus_infty, M_PI_2l); + TEST_c_c (clog, minus_zero, plus_infty, plus_infty, M_PI_2l); + TEST_c_c (clog, -3, plus_infty, plus_infty, M_PI_2l); + TEST_c_c (clog, 0, minus_infty, plus_infty, -M_PI_2l); + TEST_c_c (clog, 3, minus_infty, plus_infty, -M_PI_2l); + TEST_c_c (clog, minus_zero, minus_infty, plus_infty, -M_PI_2l); + TEST_c_c (clog, -3, minus_infty, plus_infty, -M_PI_2l); + + TEST_c_c (clog, minus_infty, 0, plus_infty, M_PIl); + TEST_c_c (clog, minus_infty, 1, plus_infty, M_PIl); + TEST_c_c (clog, minus_infty, minus_zero, plus_infty, -M_PIl); + TEST_c_c (clog, minus_infty, -1, plus_infty, -M_PIl); + + TEST_c_c (clog, plus_infty, 0, plus_infty, 0.0); + TEST_c_c (clog, plus_infty, 1, plus_infty, 0.0); + TEST_c_c (clog, plus_infty, minus_zero, plus_infty, minus_zero); + TEST_c_c (clog, plus_infty, -1, plus_infty, minus_zero); + + TEST_c_c (clog, plus_infty, nan_value, plus_infty, nan_value); + TEST_c_c (clog, minus_infty, nan_value, plus_infty, nan_value); + + TEST_c_c (clog, nan_value, plus_infty, plus_infty, nan_value); + TEST_c_c (clog, nan_value, minus_infty, plus_infty, nan_value); + + TEST_c_c (clog, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (clog, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (clog, nan_value, nan_value, nan_value, nan_value); + TEST_c_c (clog, -2, -3, 1.2824746787307683680L, -2.1587989303424641704L); + + END (clog); +} + + +static void +clog10_test (void) +{ + START (clog10); + + TEST_c_c (clog10, minus_zero, 0, minus_infty, M_PIl, DIVIDE_BY_ZERO_EXCEPTION); + TEST_c_c (clog10, minus_zero, minus_zero, minus_infty, -M_PIl, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_c_c (clog10, 0, 0, minus_infty, 0.0, DIVIDE_BY_ZERO_EXCEPTION); + TEST_c_c (clog10, 0, minus_zero, minus_infty, minus_zero, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_c_c (clog10, minus_infty, plus_infty, plus_infty, M_PI_34_LOG10El); + + TEST_c_c (clog10, plus_infty, plus_infty, plus_infty, M_PI4_LOG10El); + TEST_c_c (clog10, plus_infty, minus_infty, plus_infty, -M_PI4_LOG10El); + + TEST_c_c (clog10, 0, plus_infty, plus_infty, M_PI2_LOG10El); + TEST_c_c (clog10, 3, plus_infty, plus_infty, M_PI2_LOG10El); + TEST_c_c (clog10, minus_zero, plus_infty, plus_infty, M_PI2_LOG10El); + TEST_c_c (clog10, -3, plus_infty, plus_infty, M_PI2_LOG10El); + TEST_c_c (clog10, 0, minus_infty, plus_infty, -M_PI2_LOG10El); + TEST_c_c (clog10, 3, minus_infty, plus_infty, -M_PI2_LOG10El); + TEST_c_c (clog10, minus_zero, minus_infty, plus_infty, -M_PI2_LOG10El); + TEST_c_c (clog10, -3, minus_infty, plus_infty, -M_PI2_LOG10El); + + TEST_c_c (clog10, minus_infty, 0, plus_infty, M_PI_LOG10El); + TEST_c_c (clog10, minus_infty, 1, plus_infty, M_PI_LOG10El); + TEST_c_c (clog10, minus_infty, minus_zero, plus_infty, -M_PI_LOG10El); + TEST_c_c (clog10, minus_infty, -1, plus_infty, -M_PI_LOG10El); + + TEST_c_c (clog10, plus_infty, 0, plus_infty, 0.0); + TEST_c_c (clog10, plus_infty, 1, plus_infty, 0.0); + TEST_c_c (clog10, plus_infty, minus_zero, plus_infty, minus_zero); + TEST_c_c (clog10, plus_infty, -1, plus_infty, minus_zero); + + TEST_c_c (clog10, plus_infty, nan_value, plus_infty, nan_value); + TEST_c_c (clog10, minus_infty, nan_value, plus_infty, nan_value); + + TEST_c_c (clog10, nan_value, plus_infty, plus_infty, nan_value); + TEST_c_c (clog10, nan_value, minus_infty, plus_infty, nan_value); + + TEST_c_c (clog10, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog10, 3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog10, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog10, -3, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (clog10, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog10, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog10, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (clog10, nan_value, -5, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (clog10, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (clog10, 0.7, 1.2, 0.1427786545038868803L, 0.4528483579352493248L); + TEST_c_c (clog10, -2, -3, 0.5569716761534183846L, -0.9375544629863747085L); + + END (clog10); +} + +static void +copysign_test (void) +{ + START (copysign); + + TEST_ff_f (copysign, 0, 4, 0); + TEST_ff_f (copysign, 0, -4, minus_zero); + TEST_ff_f (copysign, minus_zero, 4, 0); + TEST_ff_f (copysign, minus_zero, -4, minus_zero); + + TEST_ff_f (copysign, plus_infty, 0, plus_infty); + TEST_ff_f (copysign, plus_infty, minus_zero, minus_infty); + TEST_ff_f (copysign, minus_infty, 0, plus_infty); + TEST_ff_f (copysign, minus_infty, minus_zero, minus_infty); + + TEST_ff_f (copysign, 0, plus_infty, 0); + TEST_ff_f (copysign, 0, minus_zero, minus_zero); + TEST_ff_f (copysign, minus_zero, plus_infty, 0); + TEST_ff_f (copysign, minus_zero, minus_zero, minus_zero); + + /* XXX More correctly we would have to check the sign of the NaN. */ + TEST_ff_f (copysign, nan_value, 0, nan_value); + TEST_ff_f (copysign, nan_value, minus_zero, nan_value); + TEST_ff_f (copysign, -nan_value, 0, nan_value); + TEST_ff_f (copysign, -nan_value, minus_zero, nan_value); + + END (copysign); +} + +static void +cos_test (void) +{ + START (cos); + + TEST_f_f (cos, 0, 1); + TEST_f_f (cos, minus_zero, 1); + TEST_f_f (cos, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_f_f (cos, minus_infty, nan_value, INVALID_EXCEPTION); + + TEST_f_f (cos, M_PI_6l * 2.0, 0.5); + TEST_f_f (cos, M_PI_6l * 4.0, -0.5); + TEST_f_f (cos, M_PI_2l, 0); + + TEST_f_f (cos, 0.7, 0.7648421872844884262L); + + END (cos); +} + +static void +cosh_test (void) +{ + START (cosh); + TEST_f_f (cosh, 0, 1); + TEST_f_f (cosh, minus_zero, 1); + + TEST_f_f (cosh, plus_infty, plus_infty); + TEST_f_f (cosh, minus_infty, plus_infty); + + TEST_f_f (cosh, 0.7, 1.255169005630943018L); + END (cosh); +} + + +static void +cpow_test (void) +{ + START (cpow); + + TEST_cc_c (cpow, 1, 0, 0, 0, 1.0, 0.0); + TEST_cc_c (cpow, 2, 0, 10, 0, 1024.0, 0.0); + + TEST_cc_c (cpow, M_El, 0, 0, 2 * M_PIl, 1.0, 0.0); + TEST_cc_c (cpow, 2, 3, 4, 0, -119.0, -120.0); + + END (cpow); +} + +static void +cproj_test (void) +{ + START (cproj); + TEST_c_c (cproj, 0.0, 0.0, 0.0, 0.0); + TEST_c_c (cproj, minus_zero, minus_zero, minus_zero, minus_zero); + TEST_c_c (cproj, 0.0, minus_zero, 0.0, minus_zero); + TEST_c_c (cproj, minus_zero, 0.0, minus_zero, 0.0); + + TEST_c_c (cproj, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (cproj, plus_infty, plus_infty, plus_infty, 0.0); + TEST_c_c (cproj, plus_infty, minus_infty, plus_infty, minus_zero); + TEST_c_c (cproj, minus_infty, plus_infty, plus_infty, 0.0); + TEST_c_c (cproj, minus_infty, minus_infty, plus_infty, minus_zero); + + TEST_c_c (cproj, 1.0, 0.0, 1.0, 0.0); + TEST_c_c (cproj, 2.0, 3.0, 0.28571428571428571429L, .42857142857142857143L); + + END (cproj); +} + + +static void +csin_test (void) +{ + + START (csin); + + TEST_c_c (csin, 0.0, 0.0, 0.0, 0.0); + TEST_c_c (csin, minus_zero, 0.0, minus_zero, 0.0); + TEST_c_c (csin, 0.0, minus_zero, 0, minus_zero); + TEST_c_c (csin, minus_zero, minus_zero, minus_zero, minus_zero); + + TEST_c_c (csin, 0.0, plus_infty, 0.0, plus_infty); + TEST_c_c (csin, minus_zero, plus_infty, minus_zero, plus_infty); + TEST_c_c (csin, 0.0, minus_infty, 0.0, minus_infty); + TEST_c_c (csin, minus_zero, minus_infty, minus_zero, minus_infty); + + TEST_c_c (csin, plus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csin, minus_infty, 0.0, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csin, plus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csin, minus_infty, minus_zero, nan_value, 0.0, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + + TEST_c_c (csin, plus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csin, minus_infty, plus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csin, plus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csin, minus_infty, minus_infty, nan_value, plus_infty, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + + TEST_c_c (csin, plus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (csin, plus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (csin, minus_infty, 6.75, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (csin, minus_infty, -6.75, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (csin, 4.625, plus_infty, minus_infty, minus_infty); + TEST_c_c (csin, 4.625, minus_infty, minus_infty, plus_infty); + TEST_c_c (csin, -4.625, plus_infty, plus_infty, minus_infty); + TEST_c_c (csin, -4.625, minus_infty, plus_infty, plus_infty); + + TEST_c_c (csin, nan_value, 0.0, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + TEST_c_c (csin, nan_value, minus_zero, nan_value, 0.0, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (csin, nan_value, plus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN); + TEST_c_c (csin, nan_value, minus_infty, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (csin, nan_value, 9.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csin, nan_value, -9.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (csin, 0.0, nan_value, 0.0, nan_value); + TEST_c_c (csin, minus_zero, nan_value, minus_zero, nan_value); + + TEST_c_c (csin, 10.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csin, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (csin, plus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csin, minus_infty, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (csin, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (csin, 0.7, 1.2, 1.1664563419657581376L, 1.1544997246948547371L); + + TEST_c_c (csin, -2, -3, -9.1544991469114295734L, 4.1689069599665643507L); + + END (csin); +} + + +static void +csinh_test (void) +{ + + START (csinh); + + TEST_c_c (csinh, 0.0, 0.0, 0.0, 0.0); + TEST_c_c (csinh, minus_zero, 0.0, minus_zero, 0.0); + TEST_c_c (csinh, 0.0, minus_zero, 0.0, minus_zero); + TEST_c_c (csinh, minus_zero, minus_zero, minus_zero, minus_zero); + + TEST_c_c (csinh, 0.0, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csinh, minus_zero, plus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csinh, 0.0, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csinh, minus_zero, minus_infty, 0.0, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + + TEST_c_c (csinh, plus_infty, 0.0, plus_infty, 0.0); + TEST_c_c (csinh, minus_infty, 0.0, minus_infty, 0.0); + TEST_c_c (csinh, plus_infty, minus_zero, plus_infty, minus_zero); + TEST_c_c (csinh, minus_infty, minus_zero, minus_infty, minus_zero); + + TEST_c_c (csinh, plus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csinh, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csinh, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + TEST_c_c (csinh, minus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN); + + TEST_c_c (csinh, plus_infty, 4.625, minus_infty, minus_infty); + TEST_c_c (csinh, minus_infty, 4.625, plus_infty, minus_infty); + TEST_c_c (csinh, plus_infty, -4.625, minus_infty, plus_infty); + TEST_c_c (csinh, minus_infty, -4.625, plus_infty, plus_infty); + + TEST_c_c (csinh, 6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (csinh, -6.75, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (csinh, 6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (csinh, -6.75, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (csinh, 0.0, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN); + TEST_c_c (csinh, minus_zero, nan_value, 0.0, nan_value, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (csinh, plus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN); + TEST_c_c (csinh, minus_infty, nan_value, plus_infty, nan_value, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (csinh, 9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (csinh, -9.0, nan_value, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (csinh, nan_value, 0.0, nan_value, 0.0); + TEST_c_c (csinh, nan_value, minus_zero, nan_value, minus_zero); + + TEST_c_c (csinh, nan_value, 10.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csinh, nan_value, -10.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (csinh, nan_value, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csinh, nan_value, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (csinh, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (csinh, 0.7, 1.2, 0.27487868678117583582L, 1.1698665727426565139L); + TEST_c_c (csinh, -2, -3, 3.5905645899857799520L, -0.5309210862485198052L); + + END (csinh); +} + +static void +csqrt_test (void) +{ + START (csqrt); + + TEST_c_c (csqrt, 0, 0, 0.0, 0.0); + TEST_c_c (csqrt, 0, minus_zero, 0, minus_zero); + TEST_c_c (csqrt, minus_zero, 0, 0.0, 0.0); + TEST_c_c (csqrt, minus_zero, minus_zero, 0.0, minus_zero); + + TEST_c_c (csqrt, minus_infty, 0, 0.0, plus_infty); + TEST_c_c (csqrt, minus_infty, 6, 0.0, plus_infty); + TEST_c_c (csqrt, minus_infty, minus_zero, 0.0, minus_infty); + TEST_c_c (csqrt, minus_infty, -6, 0.0, minus_infty); + + TEST_c_c (csqrt, plus_infty, 0, plus_infty, 0.0); + TEST_c_c (csqrt, plus_infty, 6, plus_infty, 0.0); + TEST_c_c (csqrt, plus_infty, minus_zero, plus_infty, minus_zero); + TEST_c_c (csqrt, plus_infty, -6, plus_infty, minus_zero); + + TEST_c_c (csqrt, 0, plus_infty, plus_infty, plus_infty); + TEST_c_c (csqrt, 4, plus_infty, plus_infty, plus_infty); + TEST_c_c (csqrt, plus_infty, plus_infty, plus_infty, plus_infty); + TEST_c_c (csqrt, minus_zero, plus_infty, plus_infty, plus_infty); + TEST_c_c (csqrt, -4, plus_infty, plus_infty, plus_infty); + TEST_c_c (csqrt, minus_infty, plus_infty, plus_infty, plus_infty); + TEST_c_c (csqrt, 0, minus_infty, plus_infty, minus_infty); + TEST_c_c (csqrt, 4, minus_infty, plus_infty, minus_infty); + TEST_c_c (csqrt, plus_infty, minus_infty, plus_infty, minus_infty); + TEST_c_c (csqrt, minus_zero, minus_infty, plus_infty, minus_infty); + TEST_c_c (csqrt, -4, minus_infty, plus_infty, minus_infty); + TEST_c_c (csqrt, minus_infty, minus_infty, plus_infty, minus_infty); + + TEST_c_c (csqrt, minus_infty, nan_value, nan_value, plus_infty, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (csqrt, plus_infty, nan_value, plus_infty, nan_value); + + TEST_c_c (csqrt, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csqrt, 1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csqrt, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csqrt, -1, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (csqrt, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csqrt, nan_value, 8, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csqrt, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (csqrt, nan_value, -8, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (csqrt, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (csqrt, 16.0, -30.0, 5.0, -3.0); + TEST_c_c (csqrt, -1, 0, 0.0, 1.0); + TEST_c_c (csqrt, 0, 2, 1.0, 1.0); + TEST_c_c (csqrt, 119, 120, 12.0, 5.0); + TEST_c_c (csqrt, 0.7, 1.2, 1.0220676100300264507L, 0.5870453129635652115L); + TEST_c_c (csqrt, -2, -3, 0.8959774761298381247L, -1.6741492280355400404L); + TEST_c_c (csqrt, -2, 3, 0.8959774761298381247L, 1.6741492280355400404L); + + END (csqrt); +} + +static void +ctan_test (void) +{ + START (ctan); + + TEST_c_c (ctan, 0, 0, 0.0, 0.0); + TEST_c_c (ctan, 0, minus_zero, 0.0, minus_zero); + TEST_c_c (ctan, minus_zero, 0, minus_zero, 0.0); + TEST_c_c (ctan, minus_zero, minus_zero, minus_zero, minus_zero); + + TEST_c_c (ctan, 0, plus_infty, 0.0, 1.0); + TEST_c_c (ctan, 1, plus_infty, 0.0, 1.0); + TEST_c_c (ctan, minus_zero, plus_infty, minus_zero, 1.0); + TEST_c_c (ctan, -1, plus_infty, minus_zero, 1.0); + + TEST_c_c (ctan, 0, minus_infty, 0.0, -1.0); + TEST_c_c (ctan, 1, minus_infty, 0.0, -1.0); + TEST_c_c (ctan, minus_zero, minus_infty, minus_zero, -1.0); + TEST_c_c (ctan, -1, minus_infty, minus_zero, -1.0); + + TEST_c_c (ctan, plus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctan, plus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctan, minus_infty, 0, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctan, minus_infty, 2, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctan, plus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctan, plus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctan, minus_infty, minus_zero, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctan, minus_infty, -2, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (ctan, nan_value, plus_infty, 0.0, 1.0, IGNORE_ZERO_INF_SIGN); + TEST_c_c (ctan, nan_value, minus_infty, 0.0, -1.0, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (ctan, 0, nan_value, 0.0, nan_value); + TEST_c_c (ctan, minus_zero, nan_value, minus_zero, nan_value); + + TEST_c_c (ctan, 0.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ctan, -4.5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ctan, nan_value, 0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ctan, nan_value, 5, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ctan, nan_value, minus_zero, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ctan, nan_value, -0.25, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ctan, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (ctan, 0.7, 1.2, 0.1720734197630349001L, 0.9544807059989405538L); + TEST_c_c (ctan, -2, -3, 0.0037640256415042482L, -1.0032386273536098014L); + + END (ctan); +} + + +static void +ctanh_test (void) +{ + START (ctanh); + + TEST_c_c (ctanh, 0, 0, 0.0, 0.0); + TEST_c_c (ctanh, 0, minus_zero, 0.0, minus_zero); + TEST_c_c (ctanh, minus_zero, 0, minus_zero, 0.0); + TEST_c_c (ctanh, minus_zero, minus_zero, minus_zero, minus_zero); + + TEST_c_c (ctanh, plus_infty, 0, 1.0, 0.0); + TEST_c_c (ctanh, plus_infty, 1, 1.0, 0.0); + TEST_c_c (ctanh, plus_infty, minus_zero, 1.0, minus_zero); + TEST_c_c (ctanh, plus_infty, -1, 1.0, minus_zero); + TEST_c_c (ctanh, minus_infty, 0, -1.0, 0.0); + TEST_c_c (ctanh, minus_infty, 1, -1.0, 0.0); + TEST_c_c (ctanh, minus_infty, minus_zero, -1.0, minus_zero); + TEST_c_c (ctanh, minus_infty, -1, -1.0, minus_zero); + + TEST_c_c (ctanh, 0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctanh, 2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctanh, 0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctanh, 2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctanh, minus_zero, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctanh, -2, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctanh, minus_zero, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_c_c (ctanh, -2, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_c_c (ctanh, plus_infty, nan_value, 1.0, 0.0, IGNORE_ZERO_INF_SIGN); + TEST_c_c (ctanh, minus_infty, nan_value, -1.0, 0.0, IGNORE_ZERO_INF_SIGN); + + TEST_c_c (ctanh, nan_value, 0, nan_value, 0.0); + TEST_c_c (ctanh, nan_value, minus_zero, nan_value, minus_zero); + + TEST_c_c (ctanh, nan_value, 0.5, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ctanh, nan_value, -4.5, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ctanh, 0, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ctanh, 5, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ctanh, minus_zero, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_c_c (ctanh, -0.25, nan_value, nan_value, nan_value, INVALID_EXCEPTION_OK); + + TEST_c_c (ctanh, nan_value, nan_value, nan_value, nan_value); + + TEST_c_c (ctanh, 0, M_PI_4l, 0.0, 1.0); + + TEST_c_c (ctanh, 0.7, 1.2, 1.3472197399061191630L, 0.4778641038326365540L); + TEST_c_c (ctanh, -2, -3, -0.9653858790221331242L, 0.0098843750383224937L); + + END (ctanh); +} + +static void +erf_test (void) +{ + errno = 0; + FUNC(erf) (0); + if (errno == ENOSYS) + /* Function not implemented. */ + return; + + START (erf); + + TEST_f_f (erf, 0, 0); + TEST_f_f (erf, minus_zero, minus_zero); + TEST_f_f (erf, plus_infty, 1); + TEST_f_f (erf, minus_infty, -1); + + TEST_f_f (erf, 0.7, 0.67780119383741847297L); + + TEST_f_f (erf, 1.2, 0.91031397822963538024L); + TEST_f_f (erf, 2.0, 0.99532226501895273416L); + TEST_f_f (erf, 4.1, 0.99999999329997234592L); + TEST_f_f (erf, 27, 1.0L); + + END (erf); +} + + +static void +erfc_test (void) +{ + errno = 0; + FUNC(erfc) (0); + if (errno == ENOSYS) + /* Function not implemented. */ + return; + + START (erfc); + + TEST_f_f (erfc, plus_infty, 0.0); + TEST_f_f (erfc, minus_infty, 2.0); + TEST_f_f (erfc, 0.0, 1.0); + TEST_f_f (erfc, minus_zero, 1.0); + + TEST_f_f (erfc, 0.7, 0.32219880616258152702L); + + TEST_f_f (erfc, 1.2, 0.089686021770364619762L); + TEST_f_f (erfc, 2.0, 0.0046777349810472658379L); + TEST_f_f (erfc, 4.1, 0.67000276540848983727e-8L); + TEST_f_f (erfc, 9, 0.41370317465138102381e-36L); + + END (erfc); +} + +static void +exp_test (void) +{ + START (exp); + + TEST_f_f (exp, 0, 1); + TEST_f_f (exp, minus_zero, 1); + + TEST_f_f (exp, plus_infty, plus_infty); + TEST_f_f (exp, minus_infty, 0); + TEST_f_f (exp, 1, M_El); + + TEST_f_f (exp, 2, M_E2l); + TEST_f_f (exp, 3, M_E3l); + TEST_f_f (exp, 0.7, 2.0137527074704765216L); + + END (exp); +} + + +static void +exp10_test (void) +{ + errno = 0; + FUNC(exp10) (0); + if (errno == ENOSYS) + /* Function not implemented. */ + return; + + START (exp10); + + TEST_f_f (exp10, 0, 1); + TEST_f_f (exp10, minus_zero, 1); + + TEST_f_f (exp10, plus_infty, plus_infty); + TEST_f_f (exp10, minus_infty, 0); + TEST_f_f (exp10, 3, 1000); + TEST_f_f (exp10, -1, 0.1); + TEST_f_f (exp10, 1e6, plus_infty); + TEST_f_f (exp10, -1e6, 0); + TEST_f_f (exp10, 0.7, 5.0118723362727228500L); + + END (exp10); +} + +static void +exp2_test (void) +{ + errno = 0; + FUNC(exp2) (0); + if (errno == ENOSYS) + /* Function not implemented. */ + return; + + START (exp2); + + TEST_f_f (exp2, 0, 1); + TEST_f_f (exp2, minus_zero, 1); + TEST_f_f (exp2, plus_infty, plus_infty); + TEST_f_f (exp2, minus_infty, 0); + TEST_f_f (exp2, 10, 1024); + TEST_f_f (exp2, -1, 0.5); + TEST_f_f (exp2, 1e6, plus_infty); + TEST_f_f (exp2, -1e6, 0); + TEST_f_f (exp2, 0.7, 1.6245047927124710452L); + + END (exp2); +} + +static void +expm1_test (void) +{ + START (expm1); + + TEST_f_f (expm1, 0, 0); + TEST_f_f (expm1, minus_zero, minus_zero); + + TEST_f_f (expm1, plus_infty, plus_infty); + TEST_f_f (expm1, minus_infty, -1); + + TEST_f_f (expm1, 1, M_El - 1.0); + TEST_f_f (expm1, 0.7, 1.0137527074704765216L); + + END (expm1); +} + +static void +fabs_test (void) +{ + START (fabs); + + TEST_f_f (fabs, 0, 0); + TEST_f_f (fabs, minus_zero, 0); + + TEST_f_f (fabs, plus_infty, plus_infty); + TEST_f_f (fabs, minus_infty, plus_infty); + + TEST_f_f (fabs, 38.0, 38.0); + TEST_f_f (fabs, -M_El, M_El); + + END (fabs); +} + +static void +fdim_test (void) +{ + START (fdim); + + TEST_ff_f (fdim, 0, 0, 0); + TEST_ff_f (fdim, 9, 0, 9); + TEST_ff_f (fdim, 0, 9, 0); + TEST_ff_f (fdim, -9, 0, 0); + TEST_ff_f (fdim, 0, -9, 9); + + TEST_ff_f (fdim, plus_infty, 9, plus_infty); + TEST_ff_f (fdim, plus_infty, -9, plus_infty); + TEST_ff_f (fdim, minus_infty, 9, 0); + TEST_ff_f (fdim, minus_infty, -9, 0); + TEST_ff_f (fdim, 9, minus_infty, plus_infty); + TEST_ff_f (fdim, -9, minus_infty, plus_infty); + TEST_ff_f (fdim, 9, plus_infty, 0); + TEST_ff_f (fdim, -9, plus_infty, 0); + + TEST_ff_f (fdim, 0, nan_value, nan_value); + TEST_ff_f (fdim, 9, nan_value, nan_value); + TEST_ff_f (fdim, -9, nan_value, nan_value); + TEST_ff_f (fdim, nan_value, 9, nan_value); + TEST_ff_f (fdim, nan_value, -9, nan_value); + TEST_ff_f (fdim, plus_infty, nan_value, nan_value); + TEST_ff_f (fdim, minus_infty, nan_value, nan_value); + TEST_ff_f (fdim, nan_value, plus_infty, nan_value); + TEST_ff_f (fdim, nan_value, minus_infty, nan_value); + TEST_ff_f (fdim, nan_value, nan_value, nan_value); + + END (fdim); +} + +static void +floor_test (void) +{ + START (floor); + + TEST_f_f (floor, 0.0, 0.0); + TEST_f_f (floor, minus_zero, minus_zero); + TEST_f_f (floor, plus_infty, plus_infty); + TEST_f_f (floor, minus_infty, minus_infty); + + TEST_f_f (floor, M_PIl, 3.0); + TEST_f_f (floor, -M_PIl, -4.0); + + END (floor); +} + +static void +fma_test (void) +{ + START (fma); + + TEST_fff_f (fma, 1.0, 2.0, 3.0, 5.0); + TEST_fff_f (fma, nan_value, 2.0, 3.0, nan_value); + TEST_fff_f (fma, 1.0, nan_value, 3.0, nan_value); + TEST_fff_f (fma, 1.0, 2.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_fff_f (fma, plus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_fff_f (fma, minus_infty, 0.0, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_fff_f (fma, 0.0, plus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_fff_f (fma, 0.0, minus_infty, nan_value, nan_value, INVALID_EXCEPTION_OK); + TEST_fff_f (fma, plus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION); + TEST_fff_f (fma, minus_infty, 0.0, 1.0, nan_value, INVALID_EXCEPTION); + TEST_fff_f (fma, 0.0, plus_infty, 1.0, nan_value, INVALID_EXCEPTION); + TEST_fff_f (fma, 0.0, minus_infty, 1.0, nan_value, INVALID_EXCEPTION); + + TEST_fff_f (fma, plus_infty, plus_infty, minus_infty, nan_value, INVALID_EXCEPTION); + TEST_fff_f (fma, minus_infty, plus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_fff_f (fma, plus_infty, minus_infty, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_fff_f (fma, minus_infty, minus_infty, minus_infty, nan_value, INVALID_EXCEPTION); + + END (fma); +} + + +static void +fmax_test (void) +{ + START (fmax); + + TEST_ff_f (fmax, 0, 0, 0); + TEST_ff_f (fmax, minus_zero, minus_zero, minus_zero); + TEST_ff_f (fmax, 9, 0, 9); + TEST_ff_f (fmax, 0, 9, 9); + TEST_ff_f (fmax, -9, 0, 0); + TEST_ff_f (fmax, 0, -9, 0); + + TEST_ff_f (fmax, plus_infty, 9, plus_infty); + TEST_ff_f (fmax, 0, plus_infty, plus_infty); + TEST_ff_f (fmax, -9, plus_infty, plus_infty); + TEST_ff_f (fmax, plus_infty, -9, plus_infty); + + TEST_ff_f (fmax, minus_infty, 9, 9); + TEST_ff_f (fmax, minus_infty, -9, -9); + TEST_ff_f (fmax, 9, minus_infty, 9); + TEST_ff_f (fmax, -9, minus_infty, -9); + + TEST_ff_f (fmax, 0, nan_value, 0); + TEST_ff_f (fmax, 9, nan_value, 9); + TEST_ff_f (fmax, -9, nan_value, -9); + TEST_ff_f (fmax, nan_value, 0, 0); + TEST_ff_f (fmax, nan_value, 9, 9); + TEST_ff_f (fmax, nan_value, -9, -9); + TEST_ff_f (fmax, plus_infty, nan_value, plus_infty); + TEST_ff_f (fmax, minus_infty, nan_value, minus_infty); + TEST_ff_f (fmax, nan_value, plus_infty, plus_infty); + TEST_ff_f (fmax, nan_value, minus_infty, minus_infty); + TEST_ff_f (fmax, nan_value, nan_value, nan_value); + + END (fmax); +} + + +static void +fmin_test (void) +{ + START (fmin); + + TEST_ff_f (fmin, 0, 0, 0); + TEST_ff_f (fmin, minus_zero, minus_zero, minus_zero); + TEST_ff_f (fmin, 9, 0, 0); + TEST_ff_f (fmin, 0, 9, 0); + TEST_ff_f (fmin, -9, 0, -9); + TEST_ff_f (fmin, 0, -9, -9); + + TEST_ff_f (fmin, plus_infty, 9, 9); + TEST_ff_f (fmin, 9, plus_infty, 9); + TEST_ff_f (fmin, plus_infty, -9, -9); + TEST_ff_f (fmin, -9, plus_infty, -9); + TEST_ff_f (fmin, minus_infty, 9, minus_infty); + TEST_ff_f (fmin, minus_infty, -9, minus_infty); + TEST_ff_f (fmin, 9, minus_infty, minus_infty); + TEST_ff_f (fmin, -9, minus_infty, minus_infty); + + TEST_ff_f (fmin, 0, nan_value, 0); + TEST_ff_f (fmin, 9, nan_value, 9); + TEST_ff_f (fmin, -9, nan_value, -9); + TEST_ff_f (fmin, nan_value, 0, 0); + TEST_ff_f (fmin, nan_value, 9, 9); + TEST_ff_f (fmin, nan_value, -9, -9); + TEST_ff_f (fmin, plus_infty, nan_value, plus_infty); + TEST_ff_f (fmin, minus_infty, nan_value, minus_infty); + TEST_ff_f (fmin, nan_value, plus_infty, plus_infty); + TEST_ff_f (fmin, nan_value, minus_infty, minus_infty); + TEST_ff_f (fmin, nan_value, nan_value, nan_value); + + END (fmin); +} + + +static void +fmod_test (void) +{ + + START (fmod); + + /* fmod (+0, y) == +0 for y != 0. */ + TEST_ff_f (fmod, 0, 3, 0); + + /* fmod (-0, y) == -0 for y != 0. */ + TEST_ff_f (fmod, minus_zero, 3, minus_zero); + + /* fmod (+inf, y) == NaN plus invalid exception. */ + TEST_ff_f (fmod, plus_infty, 3, nan_value, INVALID_EXCEPTION); + /* fmod (-inf, y) == NaN plus invalid exception. */ + TEST_ff_f (fmod, minus_infty, 3, nan_value, INVALID_EXCEPTION); + /* fmod (x, +0) == NaN plus invalid exception. */ + TEST_ff_f (fmod, 3, 0, nan_value, INVALID_EXCEPTION); + /* fmod (x, -0) == NaN plus invalid exception. */ + TEST_ff_f (fmod, 3, minus_zero, nan_value, INVALID_EXCEPTION); + + /* fmod (x, +inf) == x for x not infinite. */ + TEST_ff_f (fmod, 3.0, plus_infty, 3.0); + /* fmod (x, -inf) == x for x not infinite. */ + TEST_ff_f (fmod, 3.0, minus_infty, 3.0); + + TEST_ff_f (fmod, 6.5, 2.3, 1.9); + TEST_ff_f (fmod, -6.5, 2.3, -1.9); + TEST_ff_f (fmod, 6.5, -2.3, 1.9); + TEST_ff_f (fmod, -6.5, -2.3, -1.9); + + END (fmod); +} + +static void +fpclassify_test (void) +{ + START (fpclassify); + + TEST_f_i (fpclassify, nan_value, FP_NAN); + TEST_f_i (fpclassify, plus_infty, FP_INFINITE); + TEST_f_i (fpclassify, minus_infty, FP_INFINITE); + TEST_f_i (fpclassify, plus_zero, FP_ZERO); + TEST_f_i (fpclassify, minus_zero, FP_ZERO); + TEST_f_i (fpclassify, 1000, FP_NORMAL); + + END (fpclassify); +} + + +static void +frexp_test (void) +{ + int x; + + START (frexp); + + TEST_fI_f1 (frexp, plus_infty, plus_infty, IGNORE); + TEST_fI_f1 (frexp, minus_infty, minus_infty, IGNORE); + TEST_fI_f1 (frexp, nan_value, nan_value, IGNORE); + + TEST_fI_f1 (frexp, 0.0, 0.0, 0.0); + TEST_fI_f1 (frexp, minus_zero, minus_zero, 0.0); + + TEST_fI_f1 (frexp, 12.8, 0.8, 4); + TEST_fI_f1 (frexp, -27.34, -0.854375, 5); + + END (frexp); +} + + +static void +gamma_test (void) +{ + errno = 0; + FUNC(gamma) (1); + + if (errno == ENOSYS) + /* Function not implemented. */ + return; + feclearexcept (FE_ALL_EXCEPT); + + START (gamma); + + TEST_f_f (gamma, plus_infty, plus_infty); + TEST_f_f (gamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_f_f (gamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_f_f (gamma, minus_infty, nan_value, INVALID_EXCEPTION); + + TEST_f_f1 (gamma, 1, 0, 1); + TEST_f_f1 (gamma, 3, M_LN2l, 1); + + TEST_f_f1 (gamma, 0.5, M_LOG_SQRT_PIl, 1); + TEST_f_f1 (gamma, -0.5, M_LOG_2_SQRT_PIl,-1); + + END (gamma); +} + +static void +hypot_test (void) +{ + START (hypot); + + TEST_ff_f (hypot, plus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN); + TEST_ff_f (hypot, minus_infty, 1, plus_infty, IGNORE_ZERO_INF_SIGN); + + TEST_ff_f (hypot, plus_infty, nan_value, plus_infty); + TEST_ff_f (hypot, minus_infty, nan_value, plus_infty); + TEST_ff_f (hypot, nan_value, plus_infty, plus_infty); + TEST_ff_f (hypot, nan_value, minus_infty, plus_infty); + + TEST_ff_f (hypot, nan_value, nan_value, nan_value); + + /* hypot (x,y) == hypot (+-x, +-y) */ + TEST_ff_f (hypot, 0.7, 12.4, 12.41974234837422060118L); + TEST_ff_f (hypot, -0.7, 12.4, 12.41974234837422060118L); + TEST_ff_f (hypot, 0.7, -12.4, 12.41974234837422060118L); + TEST_ff_f (hypot, -0.7, -12.4, 12.41974234837422060118L); + TEST_ff_f (hypot, 12.4, 0.7, 12.41974234837422060118L); + TEST_ff_f (hypot, -12.4, 0.7, 12.41974234837422060118L); + TEST_ff_f (hypot, 12.4, -0.7, 12.41974234837422060118L); + TEST_ff_f (hypot, -12.4, -0.7, 12.41974234837422060118L); + + /* hypot (x,0) == fabs (x) */ + TEST_ff_f (hypot, 0.7, 0, 0.7); + TEST_ff_f (hypot, -0.7, 0, 0.7); + TEST_ff_f (hypot, -5.7e7, 0, 5.7e7); + + TEST_ff_f (hypot, 0.7, 1.2, 1.3892443989449804508L); + + END (hypot); +} + + +static void +ilogb_test (void) +{ + START (ilogb); + + TEST_f_i (ilogb, 1, 0); + TEST_f_i (ilogb, M_El, 1); + TEST_f_i (ilogb, 1024, 10); + TEST_f_i (ilogb, -2000, 10); + + /* XXX We have a problem here: the standard does not tell us whether + exceptions are allowed/required. ignore them for now. */ + + TEST_f_i (ilogb, 0.0, FP_ILOGB0, EXCEPTIONS_OK); + TEST_f_i (ilogb, nan_value, FP_ILOGBNAN, EXCEPTIONS_OK); + + END (ilogb); +} + +static void +isfinite_test (void) +{ + START (isfinite); + + TEST_f_b (isfinite, 0, 1); + TEST_f_b (isfinite, minus_zero, 1); + TEST_f_b (isfinite, 10, 1); + TEST_f_b (isfinite, plus_infty, 0); + TEST_f_b (isfinite, minus_infty, 0); + TEST_f_b (isfinite, nan_value, 0); + + END (isfinite); +} + +static void +isnormal_test (void) +{ + START (isnormal); + + TEST_f_b (isnormal, 0, 0); + TEST_f_b (isnormal, minus_zero, 0); + TEST_f_b (isnormal, 10, 1); + TEST_f_b (isnormal, plus_infty, 0); + TEST_f_b (isnormal, minus_infty, 0); + TEST_f_b (isnormal, nan_value, 0); + + END (isnormal); +} + +static void +j0_test (void) +{ + errno = 0; + FUNC(j0) (0); + if (errno == ENOSYS) + /* Function not implemented. */ + return; + + START (j0); + + /* j0 is the Bessel function of the first kind of order 0 */ + TEST_f_f (j0, nan_value, nan_value); + TEST_f_f (j0, plus_infty, 0); + TEST_f_f (j0, -1.0, 0.76519768655796655145); + TEST_f_f (j0, 0.0, 1.0); + TEST_f_f (j0, 0.1, 0.99750156206604003228); + TEST_f_f (j0, 0.7, 0.88120088860740528084); + TEST_f_f (j0, 1.0, 0.76519768655796655145); + TEST_f_f (j0, 1.5, 0.51182767173591812875); + TEST_f_f (j0, 2.0, 0.22389077914123566805); + TEST_f_f (j0, 8.0, 0.17165080713755390609); + TEST_f_f (j0, 10.0, -0.24593576445134833520); + + END (j0); +} + + +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 */ + + START (j1); + + TEST_f_f (j1, nan_value, nan_value); + TEST_f_f (j1, plus_infty, 0); + + TEST_f_f (j1, -1.0, -0.44005058574493351596); + TEST_f_f (j1, 0.0, 0.0); + TEST_f_f (j1, 0.1, 0.049937526036241997556); + TEST_f_f (j1, 0.7, 0.32899574154005894785); + TEST_f_f (j1, 1.0, 0.44005058574493351596); + TEST_f_f (j1, 1.5, 0.55793650791009964199); + TEST_f_f (j1, 2.0, 0.57672480775687338720); + TEST_f_f (j1, 8.0, 0.23463634685391462438); + TEST_f_f (j1, 10.0, 0.043472746168861436670); + + END (j1); +} + +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. */ + START (jn); + + /* jn (0, x) == j0 (x) */ + TEST_ff_f (jn, 0, nan_value, nan_value); + TEST_ff_f (jn, 0, plus_infty, 0); + TEST_ff_f (jn, 0, -1.0, 0.76519768655796655145); + TEST_ff_f (jn, 0, 0.0, 1.0); + TEST_ff_f (jn, 0, 0.1, 0.99750156206604003228); + TEST_ff_f (jn, 0, 0.7, 0.88120088860740528084); + TEST_ff_f (jn, 0, 1.0, 0.76519768655796655145); + TEST_ff_f (jn, 0, 1.5, 0.51182767173591812875); + TEST_ff_f (jn, 0, 2.0, 0.22389077914123566805); + TEST_ff_f (jn, 0, 8.0, 0.17165080713755390609); + TEST_ff_f (jn, 0, 10.0, -0.24593576445134833520); + + /* jn (1, x) == j1 (x) */ + TEST_ff_f (jn, 1, nan_value, nan_value); + TEST_ff_f (jn, 1, plus_infty, 0); + + TEST_ff_f (jn, 1, -1.0, -0.44005058574493351596); + TEST_ff_f (jn, 1, 0.0, 0.0); + TEST_ff_f (jn, 1, 0.1, 0.049937526036241997556); + TEST_ff_f (jn, 1, 0.7, 0.32899574154005894785); + TEST_ff_f (jn, 1, 1.0, 0.44005058574493351596); + TEST_ff_f (jn, 1, 1.5, 0.55793650791009964199); + TEST_ff_f (jn, 1, 2.0, 0.57672480775687338720); + TEST_ff_f (jn, 1, 8.0, 0.23463634685391462438); + TEST_ff_f (jn, 1, 10.0, 0.043472746168861436670); + + /* jn (3, x) */ + TEST_ff_f (jn, 3, nan_value, nan_value); + TEST_ff_f (jn, 3, plus_infty, 0); + + TEST_ff_f (jn, 3, -1.0, -0.019563353982668405919); + TEST_ff_f (jn, 3, 0.0, 0.0); + TEST_ff_f (jn, 3, 0.1, 0.000020820315754756261429); + TEST_ff_f (jn, 3, 0.7, 0.0069296548267508408077); + TEST_ff_f (jn, 3, 1.0, 0.019563353982668405919); + TEST_ff_f (jn, 3, 2.0, 0.12894324947440205110); + TEST_ff_f (jn, 3, 10.0, 0.058379379305186812343); + + /* jn (10, x) */ + TEST_ff_f (jn, 10, nan_value, nan_value); + TEST_ff_f (jn, 10, plus_infty, 0); + + TEST_ff_f (jn, 10, -1.0, 0.26306151236874532070e-9); + TEST_ff_f (jn, 10, 0.0, 0.0); + TEST_ff_f (jn, 10, 0.1, 0.26905328954342155795e-19); + TEST_ff_f (jn, 10, 0.7, 0.75175911502153953928e-11); + TEST_ff_f (jn, 10, 1.0, 0.26306151236874532070e-9); + TEST_ff_f (jn, 10, 2.0, 0.25153862827167367096e-6); + TEST_ff_f (jn, 10, 10.0, 0.20748610663335885770); + + END (jn); +} + + +static void +ldexp_test (void) +{ + TEST_ff_f (ldexp, 0, 0, 0); + TEST_ff_f (ldexp, minus_zero, 0, minus_zero); + + TEST_ff_f (ldexp, plus_infty, 1, plus_infty); + TEST_ff_f (ldexp, minus_infty, 1, minus_infty); + TEST_ff_f (ldexp, nan_value, 1, nan_value); + + TEST_ff_f (ldexp, 0.8L, 4, 12.8L); + TEST_ff_f (ldexp, -0.854375L, 5, -27.34L); + + /* ldexp (x, 0) == x. */ + TEST_ff_f (ldexp, 1.0L, 0L, 1.0L); +} + +static void +lgamma_test (void) +{ + errno = 0; + FUNC(lgamma) (0); + if (errno == ENOSYS) + /* Function not implemented. */ + return; + feclearexcept (FE_ALL_EXCEPT); + + START (lgamma); + + TEST_f_f (lgamma, plus_infty, plus_infty); + TEST_f_f (lgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + + /* lgamma (x) == +inf plus divide by zero exception for integer x <= 0. */ + TEST_f_f (lgamma, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_f_f (lgamma, minus_infty, plus_infty); + + TEST_f_f1 (lgamma, 1, 0, 1); + + TEST_f_f1 (lgamma, 3, M_LN2l, 1); + + TEST_f_f1 (lgamma, 0.5, M_LOG_SQRT_PIl, 1); + TEST_f_f1 (lgamma, -0.5, M_LOG_2_SQRT_PIl, -1); + TEST_f_f1 (lgamma, 0.7, 0.26086724653166651439L, 1); + TEST_f_f1 (lgamma, 1.2, -0.853740900033158497197e-1L, 1); + + END (lgamma); +} + +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. */ + + START (lrint); + + TEST_f_l (lrint, 0.0, 0); + TEST_f_l (lrint, minus_zero, 0); + TEST_f_l (lrint, 0.2, 0); + TEST_f_l (lrint, -0.2, 0); + + TEST_f_l (lrint, 1.4, 1); + TEST_f_l (lrint, -1.4, -1); + + TEST_f_l (lrint, 8388600.3, 8388600); + TEST_f_l (lrint, -8388600.3, -8388600); + + END (lrint); +} + +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. */ + + START (llrint); + + TEST_f_L (llrint, 0.0, 0); + TEST_f_L (llrint, minus_zero, 0); + TEST_f_L (llrint, 0.2, 0); + TEST_f_L (llrint, -0.2, 0); + + TEST_f_L (llrint, 1.4, 1); + TEST_f_L (llrint, -1.4, -1); + + TEST_f_L (llrint, 8388600.3, 8388600); + TEST_f_L (llrint, -8388600.3, -8388600); + + /* Test boundary conditions. */ + /* 0x1FFFFF */ + TEST_f_L (llrint, 2097151.0,2097151LL); + /* 0x800000 */ + TEST_f_L (llrint, 8388608.0, 8388608LL); + /* 0x1000000 */ + TEST_f_L (llrint, 16777216.0, 16777216LL); + /* 0x20000000000 */ + TEST_f_L (llrint, 2199023255552.0, 2199023255552LL); + /* 0x40000000000 */ + TEST_f_L (llrint, 4398046511104.0, 4398046511104LL); + /* 0x10000000000000 */ + TEST_f_L (llrint, 4503599627370496.0, 4503599627370496LL); + /* 0x10000080000000 */ + TEST_f_L (llrint, 4503601774854144.0, 4503601774854144LL); + /* 0x20000000000000 */ + TEST_f_L (llrint, 9007199254740992.0, 9007199254740992LL); + /* 0x80000000000000 */ + TEST_f_L (llrint, 36028797018963968.0, 36028797018963968LL); + /* 0x100000000000000 */ + TEST_f_L (llrint, 72057594037927936.0, 72057594037927936LL); + + END (llrint); +} + +static void +log_test (void) +{ + START (log); + + TEST_f_f (log, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_f_f (log, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_f_f (log, 1, 0); + + TEST_f_f (log, -1, nan_value, INVALID_EXCEPTION); + TEST_f_f (log, plus_infty, plus_infty); + + TEST_f_f (log, M_El, 1); + TEST_f_f (log, 1.0 / M_El, -1); + TEST_f_f (log, 2, M_LN2l); + TEST_f_f (log, 10, M_LN10l); + TEST_f_f (log, 0.7, -0.35667494393873237891L); + + END (log); +} + + +static void +log10_test (void) +{ + START (log10); + + TEST_f_f (log10, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_f_f (log10, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_f_f (log10, 1, 0); + + /* log10 (x) == NaN plus invalid exception if x < 0. */ + TEST_f_f (log10, -1, nan_value, INVALID_EXCEPTION); + + TEST_f_f (log10, plus_infty, plus_infty); + + TEST_f_f (log10, 0.1L, -1); + TEST_f_f (log10, 10.0, 1); + TEST_f_f (log10, 100.0, 2); + TEST_f_f (log10, 10000.0, 4); + TEST_f_f (log10, M_El, M_LOG10El); + TEST_f_f (log10, 0.7, -0.15490195998574316929L); + + END (log10); +} + + +static void +log1p_test (void) +{ + START (log1p); + + TEST_f_f (log1p, 0, 0); + TEST_f_f (log1p, minus_zero, minus_zero); + + TEST_f_f (log1p, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_f_f (log1p, -2, nan_value, INVALID_EXCEPTION); + + TEST_f_f (log1p, plus_infty, plus_infty); + + TEST_f_f (log1p, M_El - 1.0, 1); + + TEST_f_f (log1p, -0.3, -0.35667494393873237891L); + + END (log1p); +} + + +static void +log2_test (void) +{ + START (log2); + + TEST_f_f (log2, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_f_f (log2, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_f_f (log2, 1, 0); + + TEST_f_f (log2, -1, nan_value, INVALID_EXCEPTION); + + TEST_f_f (log2, plus_infty, plus_infty); + + TEST_f_f (log2, M_El, M_LOG2El); + TEST_f_f (log2, 2.0, 1); + TEST_f_f (log2, 16.0, 4); + TEST_f_f (log2, 256.0, 8); + TEST_f_f (log2, 0.7, -0.51457317282975824043L); + + END (log2); +} + + +static void +logb_test (void) +{ + START (logb); + + TEST_f_f (logb, plus_infty, plus_infty); + TEST_f_f (logb, minus_infty, plus_infty); + + TEST_f_f (logb, 0, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_f_f (logb, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_f_f (logb, 1, 0); + TEST_f_f (logb, M_El, 1); + TEST_f_f (logb, 1024, 10); + TEST_f_f (logb, -2000, 10); + + END (logb); +} + +static void +lround_test (void) +{ + START (lround); + + TEST_f_l (lround, 0, 0); + TEST_f_l (lround, minus_zero, 0); + TEST_f_l (lround, 0.2, 0.0); + TEST_f_l (lround, -0.2, 0); + TEST_f_l (lround, 0.5, 1); + TEST_f_l (lround, -0.5, -1); + TEST_f_l (lround, 0.8, 1); + TEST_f_l (lround, -0.8, -1); + TEST_f_l (lround, 1.5, 2); + TEST_f_l (lround, -1.5, -2); + TEST_f_l (lround, 22514.5, 22515); + TEST_f_l (lround, -22514.5, -22515); +#ifndef TEST_FLOAT + TEST_f_l (lround, 2097152.5, 2097153); + TEST_f_l (lround, -2097152.5, -2097153); +#endif + END (lround); +} + + +static void +llround_test (void) +{ + START (llround); + + TEST_f_L (llround, 0, 0); + TEST_f_L (llround, minus_zero, 0); + TEST_f_L (llround, 0.2, 0.0); + TEST_f_L (llround, -0.2, 0); + TEST_f_L (llround, 0.5, 1); + TEST_f_L (llround, -0.5, -1); + TEST_f_L (llround, 0.8, 1); + TEST_f_L (llround, -0.8, -1); + TEST_f_L (llround, 1.5, 2); + TEST_f_L (llround, -1.5, -2); + TEST_f_L (llround, 22514.5, 22515); + TEST_f_L (llround, -22514.5, -22515); +#ifndef TEST_FLOAT + TEST_f_L (llround, 2097152.5, 2097153); + TEST_f_L (llround, -2097152.5, -2097153); + TEST_f_L (llround, 34359738368.5, 34359738369ll); + TEST_f_L (llround, -34359738368.5, -34359738369ll); +#endif + + /* Test boundary conditions. */ + /* 0x1FFFFF */ + TEST_f_L (llround, 2097151.0, 2097151LL); + /* 0x800000 */ + TEST_f_L (llround, 8388608.0, 8388608LL); + /* 0x1000000 */ + TEST_f_L (llround, 16777216.0, 16777216LL); + /* 0x20000000000 */ + TEST_f_L (llround, 2199023255552.0, 2199023255552LL); + /* 0x40000000000 */ + TEST_f_L (llround, 4398046511104.0, 4398046511104LL); + /* 0x10000000000000 */ + TEST_f_L (llround, 4503599627370496.0, 4503599627370496LL); + /* 0x10000080000000 */ + TEST_f_L (llrint, 4503601774854144.0, 4503601774854144LL); + /* 0x20000000000000 */ + TEST_f_L (llround, 9007199254740992.0, 9007199254740992LL); + /* 0x80000000000000 */ + TEST_f_L (llround, 36028797018963968.0, 36028797018963968LL); + /* 0x100000000000000 */ + TEST_f_L (llround, 72057594037927936.0, 72057594037927936LL); + + END (llround); +} + +static void +modf_test (void) +{ + FLOAT x; + + START (modf); + + TEST_fF_f1 (modf, plus_infty, 0, plus_infty); + TEST_fF_f1 (modf, minus_infty, minus_zero, minus_infty); + TEST_fF_f1 (modf, nan_value, nan_value, nan_value); + TEST_fF_f1 (modf, 0, 0, 0); + TEST_fF_f1 (modf, 1.5, 0.5, 1); + TEST_fF_f1 (modf, 2.5, 0.5, 2); + TEST_fF_f1 (modf, -2.5, -0.5, -2); + TEST_fF_f1 (modf, 20, 0, 20); + TEST_fF_f1 (modf, 21, 0, 21); + TEST_fF_f1 (modf, 89.5, 0.5, 89); + + END (modf); +} + + +static void +nearbyint_test (void) +{ + START (nearbyint); + + TEST_f_f (nearbyint, 0.0, 0.0); + TEST_f_f (nearbyint, minus_zero, minus_zero); + TEST_f_f (nearbyint, plus_infty, plus_infty); + TEST_f_f (nearbyint, minus_infty, minus_infty); + + END (nearbyint); +} + +static void +nextafter_test (void) +{ + + START (nextafter); + + TEST_ff_f (nextafter, 0, 0, 0); + TEST_ff_f (nextafter, minus_zero, 0, 0); + TEST_ff_f (nextafter, 0, minus_zero, minus_zero); + TEST_ff_f (nextafter, minus_zero, minus_zero, minus_zero); + + TEST_ff_f (nextafter, 9, 9, 9); + TEST_ff_f (nextafter, -9, -9, -9); + TEST_ff_f (nextafter, plus_infty, plus_infty, plus_infty); + TEST_ff_f (nextafter, minus_infty, minus_infty, minus_infty); + + TEST_ff_f (nextafter, nan_value, 1.1, nan_value); + TEST_ff_f (nextafter, 1.1, nan_value, nan_value); + TEST_ff_f (nextafter, nan_value, nan_value, nan_value); + + /* XXX We need the hexadecimal FP number representation here for further + tests. */ + + END (nextafter); +} + +#if 0 +static void +nexttoward_test (void) +{ + START (nexttoward); + TEST_ff_f (nexttoward, 0, 0, 0); + TEST_ff_f (nexttoward, minus_zero, 0, 0); + TEST_ff_f (nexttoward, 0, minus_zero, minus_zero); + TEST_ff_f (nexttoward, minus_zero, minus_zero, minus_zero); + + TEST_ff_f (nexttoward, 9, 9, 9); + TEST_ff_f (nexttoward, -9, -9, -9); + TEST_ff_f (nexttoward, plus_infty, plus_infty, plus_infty); + TEST_ff_f (nexttoward, minus_infty, minus_infty, minus_infty); + + TEST_ff_f (nexttoward, nan_value, 1.1, nan_value); + TEST_ff_f (nexttoward, 1.1, nan_value, nan_value); + TEST_ff_f (nexttoward, nan_value, nan_value, nan_value); + + /* XXX We need the hexadecimal FP number representation here for further + tests. */ + + END (nexttoward); +} +#endif + + +static void +pow_test (void) +{ + + START (pow); + + TEST_ff_f (pow, 0, 0, 1); + TEST_ff_f (pow, 0, minus_zero, 1); + TEST_ff_f (pow, minus_zero, 0, 1); + TEST_ff_f (pow, minus_zero, minus_zero, 1); + + TEST_ff_f (pow, 10, 0, 1); + TEST_ff_f (pow, 10, minus_zero, 1); + TEST_ff_f (pow, -10, 0, 1); + TEST_ff_f (pow, -10, minus_zero, 1); + + TEST_ff_f (pow, nan_value, 0, 1); + TEST_ff_f (pow, nan_value, minus_zero, 1); + + + TEST_ff_f (pow, 1.1, plus_infty, plus_infty); + TEST_ff_f (pow, plus_infty, plus_infty, plus_infty); + TEST_ff_f (pow, -1.1, plus_infty, plus_infty); + TEST_ff_f (pow, minus_infty, plus_infty, plus_infty); + + TEST_ff_f (pow, 0.9L, plus_infty, 0); + TEST_ff_f (pow, 1e-7L, plus_infty, 0); + TEST_ff_f (pow, -0.9L, plus_infty, 0); + TEST_ff_f (pow, -1e-7L, plus_infty, 0); + + TEST_ff_f (pow, 1.1, minus_infty, 0); + TEST_ff_f (pow, plus_infty, minus_infty, 0); + TEST_ff_f (pow, -1.1, minus_infty, 0); + TEST_ff_f (pow, minus_infty, minus_infty, 0); + + TEST_ff_f (pow, 0.9L, minus_infty, plus_infty); + TEST_ff_f (pow, 1e-7L, minus_infty, plus_infty); + TEST_ff_f (pow, -0.9L, minus_infty, plus_infty); + TEST_ff_f (pow, -1e-7L, minus_infty, plus_infty); + + TEST_ff_f (pow, plus_infty, 1e-7L, plus_infty); + TEST_ff_f (pow, plus_infty, 1, plus_infty); + TEST_ff_f (pow, plus_infty, 1e7L, plus_infty); + + TEST_ff_f (pow, plus_infty, -1e-7L, 0); + TEST_ff_f (pow, plus_infty, -1, 0); + TEST_ff_f (pow, plus_infty, -1e7L, 0); + + TEST_ff_f (pow, minus_infty, 1, minus_infty); + TEST_ff_f (pow, minus_infty, 11, minus_infty); + TEST_ff_f (pow, minus_infty, 1001, minus_infty); + + TEST_ff_f (pow, minus_infty, 2, plus_infty); + TEST_ff_f (pow, minus_infty, 12, plus_infty); + TEST_ff_f (pow, minus_infty, 1002, plus_infty); + TEST_ff_f (pow, minus_infty, 0.1, plus_infty); + TEST_ff_f (pow, minus_infty, 1.1, plus_infty); + TEST_ff_f (pow, minus_infty, 11.1, plus_infty); + TEST_ff_f (pow, minus_infty, 1001.1, plus_infty); + + TEST_ff_f (pow, minus_infty, -1, minus_zero); + TEST_ff_f (pow, minus_infty, -11, minus_zero); + TEST_ff_f (pow, minus_infty, -1001, minus_zero); + + TEST_ff_f (pow, minus_infty, -2, 0); + TEST_ff_f (pow, minus_infty, -12, 0); + TEST_ff_f (pow, minus_infty, -1002, 0); + TEST_ff_f (pow, minus_infty, -0.1, 0); + TEST_ff_f (pow, minus_infty, -1.1, 0); + TEST_ff_f (pow, minus_infty, -11.1, 0); + TEST_ff_f (pow, minus_infty, -1001.1, 0); + + TEST_ff_f (pow, nan_value, nan_value, nan_value); + TEST_ff_f (pow, 0, nan_value, nan_value); + TEST_ff_f (pow, 1, nan_value, nan_value); + TEST_ff_f (pow, -1, nan_value, nan_value); + TEST_ff_f (pow, nan_value, 1, nan_value); + TEST_ff_f (pow, nan_value, -1, nan_value); + + /* pow (x, NaN) == NaN. */ + TEST_ff_f (pow, 3.0, nan_value, nan_value); + + TEST_ff_f (pow, 1, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_ff_f (pow, -1, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_ff_f (pow, 1, minus_infty, nan_value, INVALID_EXCEPTION); + TEST_ff_f (pow, -1, minus_infty, nan_value, INVALID_EXCEPTION); + + TEST_ff_f (pow, -0.1, 1.1, nan_value, INVALID_EXCEPTION); + TEST_ff_f (pow, -0.1, -1.1, nan_value, INVALID_EXCEPTION); + TEST_ff_f (pow, -10.1, 1.1, nan_value, INVALID_EXCEPTION); + TEST_ff_f (pow, -10.1, -1.1, nan_value, INVALID_EXCEPTION); + + TEST_ff_f (pow, 0, -1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_ff_f (pow, 0, -11, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_ff_f (pow, minus_zero, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_ff_f (pow, minus_zero, -11, minus_infty, DIVIDE_BY_ZERO_EXCEPTION); + + TEST_ff_f (pow, 0, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_ff_f (pow, 0, -11.1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_ff_f (pow, minus_zero, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + TEST_ff_f (pow, minus_zero, -11.1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION); + + + TEST_ff_f (pow, 0, 1, 0); + TEST_ff_f (pow, 0, 11, 0); + + TEST_ff_f (pow, minus_zero, 1, minus_zero); + TEST_ff_f (pow, minus_zero, 11, minus_zero); + + + TEST_ff_f (pow, 0, 2, 0); + TEST_ff_f (pow, 0, 11.1, 0); + + + TEST_ff_f (pow, minus_zero, 2, 0); + TEST_ff_f (pow, minus_zero, 11.1, 0); + + /* pow (x, +inf) == +inf for |x| > 1. */ + TEST_ff_f (pow, 1.5, plus_infty, plus_infty); + + /* pow (x, +inf) == +0 for |x| < 1. */ + TEST_ff_f (pow, 0.5, plus_infty, 0.0); + + /* pow (x, -inf) == +0 for |x| > 1. */ + TEST_ff_f (pow, 1.5, minus_infty, 0.0); + + /* pow (x, -inf) == +inf for |x| < 1. */ + TEST_ff_f (pow, 0.5, minus_infty, plus_infty); + + /* pow (+inf, y) == +inf for y > 0. */ + TEST_ff_f (pow, plus_infty, 2, plus_infty); + + /* pow (+inf, y) == +0 for y < 0. */ + TEST_ff_f (pow, plus_infty, -1, 0.0); + + /* pow (-inf, y) == -inf for y an odd integer > 0. */ + TEST_ff_f (pow, minus_infty, 27, minus_infty); + + /* pow (-inf, y) == +inf for y > 0 and not an odd integer. */ + TEST_ff_f (pow, minus_infty, 28, plus_infty); + + /* pow (-inf, y) == -0 for y an odd integer < 0. */ + TEST_ff_f (pow, minus_infty, -3, minus_zero); + /* pow (-inf, y) == +0 for y < 0 and not an odd integer. */ + TEST_ff_f (pow, minus_infty, -2.0, 0.0); + + /* pow (+0, y) == +0 for y an odd integer > 0. */ + TEST_ff_f (pow, 0.0, 27, 0.0); + + /* pow (-0, y) == -0 for y an odd integer > 0. */ + TEST_ff_f (pow, minus_zero, 27, minus_zero); + + /* pow (+0, y) == +0 for y > 0 and not an odd integer. */ + TEST_ff_f (pow, 0.0, 4, 0.0); + + /* pow (-0, y) == +0 for y > 0 and not an odd integer. */ + TEST_ff_f (pow, minus_zero, 4, 0.0); + + TEST_ff_f (pow, 0.7, 1.2, 0.65180494056638638188L); + +#ifdef TEST_DOUBLE + TEST_ff_f (pow, -7.49321e+133, -9.80818e+16, 0); +#endif + + END (pow); +} + +static void +remainder_test (void) +{ + + START (remainder); + + TEST_ff_f (remainder, 1, 0, nan_value, INVALID_EXCEPTION); + TEST_ff_f (remainder, 1, minus_zero, nan_value, INVALID_EXCEPTION); + TEST_ff_f (remainder, plus_infty, 1, nan_value, INVALID_EXCEPTION); + TEST_ff_f (remainder, minus_infty, 1, nan_value, INVALID_EXCEPTION); + + TEST_ff_f (remainder, 1.625, 1.0, -0.375); + TEST_ff_f (remainder, -1.625, 1.0, 0.375); + TEST_ff_f (remainder, 1.625, -1.0, -0.375); + TEST_ff_f (remainder, -1.625, -1.0, 0.375); + TEST_ff_f (remainder, 5.0, 2.0, 1.0); + TEST_ff_f (remainder, 3.0, 2.0, -1.0); + + END (remainder); +} + +static void +remquo_test (void) +{ + /* x is needed. */ + int x; + + START (remquo); + + TEST_ffI_f1 (remquo, 1, 0, nan_value, IGNORE, INVALID_EXCEPTION); + TEST_ffI_f1 (remquo, 1, minus_zero, nan_value, IGNORE, INVALID_EXCEPTION); + TEST_ffI_f1 (remquo, plus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION); + TEST_ffI_f1 (remquo, minus_infty, 1, nan_value, IGNORE, INVALID_EXCEPTION); + + TEST_ffI_f1 (remquo, 1.625, 1.0, -0.375, 2); + TEST_ffI_f1 (remquo, -1.625, 1.0, 0.375, -2); + TEST_ffI_f1 (remquo, 1.625, -1.0, -0.375, -2); + TEST_ffI_f1 (remquo, -1.625, -1.0, 0.375, 2); + + TEST_ffI_f1 (remquo, 5, 2, 1, 2); + TEST_ffI_f1 (remquo, 3, 2, -1, 2); + + END (remquo); +} + +static void +rint_test (void) +{ + START (rint); + + TEST_f_f (rint, 0.0, 0.0); + TEST_f_f (rint, minus_zero, minus_zero); + TEST_f_f (rint, plus_infty, plus_infty); + TEST_f_f (rint, minus_infty, minus_infty); + + END (rint); +} + +static void +round_test (void) +{ + START (round); + + TEST_f_f (round, 0, 0); + TEST_f_f (round, minus_zero, minus_zero); + TEST_f_f (round, 0.2, 0.0); + TEST_f_f (round, -0.2, minus_zero); + TEST_f_f (round, 0.5, 1.0); + TEST_f_f (round, -0.5, -1.0); + TEST_f_f (round, 0.8, 1.0); + TEST_f_f (round, -0.8, -1.0); + TEST_f_f (round, 1.5, 2.0); + TEST_f_f (round, -1.5, -2.0); + TEST_f_f (round, 2097152.5, 2097153); + TEST_f_f (round, -2097152.5, -2097153); + + END (round); +} + + +static void +scalb_test (void) +{ + + START (scalb); + + TEST_ff_f (scalb, 2.0, 0.5, nan_value); + TEST_ff_f (scalb, 3.0, -2.5, nan_value); + + TEST_ff_f (scalb, 0, nan_value, nan_value); + TEST_ff_f (scalb, 1, nan_value, nan_value); + + TEST_ff_f (scalb, 1, 0, 1); + TEST_ff_f (scalb, -1, 0, -1); + + TEST_ff_f (scalb, 0, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_ff_f (scalb, minus_zero, plus_infty, nan_value, INVALID_EXCEPTION); + + TEST_ff_f (scalb, 0, 2, 0); + TEST_ff_f (scalb, minus_zero, -4, minus_zero); + TEST_ff_f (scalb, 0, 0, 0); + TEST_ff_f (scalb, minus_zero, 0, minus_zero); + TEST_ff_f (scalb, 0, -1, 0); + TEST_ff_f (scalb, minus_zero, -10, minus_zero); + TEST_ff_f (scalb, 0, minus_infty, 0); + TEST_ff_f (scalb, minus_zero, minus_infty, minus_zero); + + TEST_ff_f (scalb, plus_infty, -1, plus_infty); + TEST_ff_f (scalb, minus_infty, -10, minus_infty); + TEST_ff_f (scalb, plus_infty, 0, plus_infty); + TEST_ff_f (scalb, minus_infty, 0, minus_infty); + TEST_ff_f (scalb, plus_infty, 2, plus_infty); + TEST_ff_f (scalb, minus_infty, 100, minus_infty); + + TEST_ff_f (scalb, 0.1, minus_infty, 0.0); + TEST_ff_f (scalb, -0.1, minus_infty, minus_zero); + + TEST_ff_f (scalb, 1, plus_infty, plus_infty); + TEST_ff_f (scalb, -1, plus_infty, minus_infty); + TEST_ff_f (scalb, plus_infty, plus_infty, plus_infty); + TEST_ff_f (scalb, minus_infty, plus_infty, minus_infty); + + TEST_ff_f (scalb, plus_infty, minus_infty, nan_value); + TEST_ff_f (scalb, minus_infty, minus_infty, nan_value); + + TEST_ff_f (scalb, nan_value, 1, nan_value); + TEST_ff_f (scalb, 1, nan_value, nan_value); + TEST_ff_f (scalb, nan_value, 0, nan_value); + TEST_ff_f (scalb, 0, nan_value, nan_value); + TEST_ff_f (scalb, nan_value, plus_infty, nan_value); + TEST_ff_f (scalb, plus_infty, nan_value, nan_value); + TEST_ff_f (scalb, nan_value, nan_value, nan_value); + + TEST_ff_f (scalb, 0.8L, 4, 12.8L); + TEST_ff_f (scalb, -0.854375L, 5, -27.34L); + + END (scalb); +} + + +static void +scalbn_test (void) +{ + + START (scalbn); + + TEST_fi_f (scalbn, 0, 0, 0); + TEST_fi_f (scalbn, minus_zero, 0, minus_zero); + + TEST_fi_f (scalbn, plus_infty, 1, plus_infty); + TEST_fi_f (scalbn, minus_infty, 1, minus_infty); + TEST_fi_f (scalbn, nan_value, 1, nan_value); + + TEST_fi_f (scalbn, 0.8L, 4, 12.8L); + TEST_fi_f (scalbn, -0.854375L, 5, -27.34L); + + TEST_fi_f (scalbn, 1, 0L, 1); + + END (scalbn); +} + +static void +scalbln_test (void) +{ + + START (scalbln); + + TEST_fl_f (scalbln, 0, 0, 0); + TEST_fl_f (scalbln, minus_zero, 0, minus_zero); + + TEST_fl_f (scalbln, plus_infty, 1, plus_infty); + TEST_fl_f (scalbln, minus_infty, 1, minus_infty); + TEST_fl_f (scalbln, nan_value, 1, nan_value); + + TEST_fl_f (scalbln, 0.8L, 4, 12.8L); + TEST_fl_f (scalbln, -0.854375L, 5, -27.34L); + + TEST_fl_f (scalbln, 1, 0L, 1); + + END (scalbn); +} + +static void +signbit_test (void) +{ + + START (signbit); + + TEST_f_b (signbit, 0, 0); + TEST_f_b (signbit, minus_zero, 1); + TEST_f_b (signbit, plus_infty, 0); + TEST_f_b (signbit, minus_infty, 1); + + /* signbit (x) != 0 for x < 0. */ + TEST_f_b (signbit, -1, 1); + /* signbit (x) == 0 for x >= 0. */ + TEST_f_b (signbit, 1, 0); + + END (signbit); +} + +static void +sin_test (void) +{ + START (sin); + + TEST_f_f (sin, 0, 0); + TEST_f_f (sin, minus_zero, minus_zero); + TEST_f_f (sin, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_f_f (sin, minus_infty, nan_value, INVALID_EXCEPTION); + + TEST_f_f (sin, M_PI_6l, 0.5); + TEST_f_f (sin, -M_PI_6l, -0.5); + TEST_f_f (sin, M_PI_2l, 1); + TEST_f_f (sin, -M_PI_2l, -1); + TEST_f_f (sin, 0.7, 0.64421768723769105367L); + + END (sin); + +} + +static void +sincos_test (void) +{ + FLOAT sin_res, cos_res; + + START (sincos); + + /* sincos is treated differently because it returns void. */ + TEST_extra (sincos, 0, 0, 1); + + TEST_extra (sincos, minus_zero, minus_zero, 1); + TEST_extra (sincos, plus_infty, nan_value, nan_value, INVALID_EXCEPTION); + TEST_extra (sincos, minus_infty, nan_value, nan_value, INVALID_EXCEPTION); + + TEST_extra (sincos, M_PI_2l, 1, 0); + TEST_extra (sincos, M_PI_6l, 0.5, 0.866025403784438646764L); + TEST_extra (sincos, M_PI_6l*2.0, 0.866025403784438646764L, 0.5); + TEST_extra (sincos, 0.7, 0.64421768723769105367L, 0.76484218728448842626L); + + END (sincos); +} + +static void +sinh_test (void) +{ + START (sinh); + TEST_f_f (sinh, 0, 0); + TEST_f_f (sinh, minus_zero, minus_zero); + + TEST_f_f (sinh, plus_infty, plus_infty); + TEST_f_f (sinh, minus_infty, minus_infty); + + TEST_f_f (sinh, 0.7, 0.75858370183953350346L); + + END (sinh); +} + +static void +sqrt_test (void) +{ + START (sqrt); + + TEST_f_f (sqrt, 0, 0); + TEST_f_f (sqrt, nan_value, nan_value); + TEST_f_f (sqrt, plus_infty, plus_infty); + + TEST_f_f (sqrt, minus_zero, minus_zero); + + /* sqrt (x) == NaN plus invalid exception for x < 0. */ + TEST_f_f (sqrt, -1, nan_value, INVALID_EXCEPTION); + TEST_f_f (sqrt, minus_infty, nan_value, INVALID_EXCEPTION); + + TEST_f_f (sqrt, 2209, 47); + TEST_f_f (sqrt, 4, 2); + TEST_f_f (sqrt, 2, M_SQRT2l); + TEST_f_f (sqrt, 0.25, 0.5); + TEST_f_f (sqrt, 6642.25, 81.5); + TEST_f_f (sqrt, 15239.9025, 123.45); + TEST_f_f (sqrt, 0.7, 0.83666002653407554798L); + + END (sqrt); +} + +static void +tan_test (void) +{ + START (tan); + + TEST_f_f (tan, 0, 0); + TEST_f_f (tan, minus_zero, minus_zero); + TEST_f_f (tan, plus_infty, nan_value, INVALID_EXCEPTION); + TEST_f_f (tan, minus_infty, nan_value, INVALID_EXCEPTION); + + TEST_f_f (tan, M_PI_4l, 1); + TEST_f_f (tan, 0.7, 0.84228838046307944813L); + + END (tan); +} + +static void +tanh_test (void) +{ + START (tanh); + + TEST_f_f (tanh, 0, 0); + TEST_f_f (tanh, minus_zero, minus_zero); + + TEST_f_f (tanh, plus_infty, 1); + TEST_f_f (tanh, minus_infty, -1); + + TEST_f_f (tanh, 0.7, 0.60436777711716349631L); + + END (tanh); +} + +static void +tgamma_test (void) +{ + errno = 0; + FUNC(tgamma) (1); + if (errno == ENOSYS) + /* Function not implemented. */ + return; + feclearexcept (FE_ALL_EXCEPT); + + START (tgamma); + + TEST_f_f (tgamma, plus_infty, plus_infty); + TEST_f_f (tgamma, 0, nan_value, INVALID_EXCEPTION); + TEST_f_f (tgamma, minus_zero, nan_value, INVALID_EXCEPTION); + /* tgamma (x) == NaN plus invalid exception for integer x <= 0. */ + TEST_f_f (tgamma, -2, nan_value, INVALID_EXCEPTION); + TEST_f_f (tgamma, minus_infty, nan_value, INVALID_EXCEPTION); + + TEST_f_f (tgamma, 0.5, M_SQRT_PIl); + TEST_f_f (tgamma, -0.5, -M_2_SQRT_PIl); + + TEST_f_f (tgamma, 1, 1); + TEST_f_f (tgamma, 4, 6); + + TEST_f_f (tgamma, 0.7, 1.29805533264755778568L); + TEST_f_f (tgamma, 1.2, 0.91816874239976061064L); + + END (tgamma); +} + +static void +trunc_test (void) +{ + START (trunc); + + TEST_f_f (trunc, plus_infty, plus_infty); + TEST_f_f (trunc, minus_infty, minus_infty); + TEST_f_f (trunc, nan_value, nan_value); + + TEST_f_f (trunc, 0, 0); + TEST_f_f (trunc, minus_zero, minus_zero); + TEST_f_f (trunc, 0.625, 0); + TEST_f_f (trunc, -0.625, minus_zero); + TEST_f_f (trunc, 1, 1); + TEST_f_f (trunc, -1, -1); + TEST_f_f (trunc, 1.625, 1); + TEST_f_f (trunc, -1.625, -1); + + TEST_f_f (trunc, 1048580.625L, 1048580L); + TEST_f_f (trunc, -1048580.625L, -1048580L); + + TEST_f_f (trunc, 8388610.125L, 8388610.0L); + TEST_f_f (trunc, -8388610.125L, -8388610.0L); + + TEST_f_f (trunc, 4294967296.625L, 4294967296.0L); + TEST_f_f (trunc, -4294967296.625L, -4294967296.0L); + + + END (trunc); +} + +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 */ + START (y0); + + TEST_f_f (y0, -1.0, minus_infty); + TEST_f_f (y0, 0.0, minus_infty); + TEST_f_f (y0, nan_value, nan_value); + TEST_f_f (y0, plus_infty, 0); + + TEST_f_f (y0, 0.1, -1.5342386513503668441); + TEST_f_f (y0, 0.7, -0.19066492933739506743); + TEST_f_f (y0, 1.0, 0.088256964215676957983); + TEST_f_f (y0, 1.5, 0.38244892379775884396); + TEST_f_f (y0, 2.0, 0.51037567264974511960); + TEST_f_f (y0, 8.0, 0.22352148938756622053); + TEST_f_f (y0, 10.0, 0.055671167283599391424); + + END (y0); +} + + +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 */ + START (y1); + + TEST_f_f (y1, -1.0, minus_infty); + TEST_f_f (y1, 0.0, minus_infty); + TEST_f_f (y1, plus_infty, 0); + TEST_f_f (y1, nan_value, nan_value); + + TEST_f_f (y1, 0.1, -6.4589510947020269877); + TEST_f_f (y1, 0.7, -1.1032498719076333697); + TEST_f_f (y1, 1.0, -0.78121282130028871655); + TEST_f_f (y1, 1.5, -0.41230862697391129595); + TEST_f_f (y1, 2.0, -0.10703243154093754689); + TEST_f_f (y1, 8.0, -0.15806046173124749426); + TEST_f_f (y1, 10.0, 0.24901542420695388392); + + END (y1); +} + +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 */ + START (yn); + + /* yn (0, x) == y0 (x) */ + TEST_ff_f (yn, 0, -1.0, minus_infty); + TEST_ff_f (yn, 0, 0.0, minus_infty); + TEST_ff_f (yn, 0, nan_value, nan_value); + TEST_ff_f (yn, 0, plus_infty, 0); + + TEST_ff_f (yn, 0, 0.1, -1.5342386513503668441); + TEST_ff_f (yn, 0, 0.7, -0.19066492933739506743); + TEST_ff_f (yn, 0, 1.0, 0.088256964215676957983); + TEST_ff_f (yn, 0, 1.5, 0.38244892379775884396); + TEST_ff_f (yn, 0, 2.0, 0.51037567264974511960); + TEST_ff_f (yn, 0, 8.0, 0.22352148938756622053); + TEST_ff_f (yn, 0, 10.0, 0.055671167283599391424); + + /* yn (1, x) == y1 (x) */ + TEST_ff_f (yn, 1, -1.0, minus_infty); + TEST_ff_f (yn, 1, 0.0, minus_infty); + TEST_ff_f (yn, 1, plus_infty, 0); + TEST_ff_f (yn, 1, nan_value, nan_value); + + TEST_ff_f (yn, 1, 0.1, -6.4589510947020269877); + TEST_ff_f (yn, 1, 0.7, -1.1032498719076333697); + TEST_ff_f (yn, 1, 1.0, -0.78121282130028871655); + TEST_ff_f (yn, 1, 1.5, -0.41230862697391129595); + TEST_ff_f (yn, 1, 2.0, -0.10703243154093754689); + TEST_ff_f (yn, 1, 8.0, -0.15806046173124749426); + TEST_ff_f (yn, 1, 10.0, 0.24901542420695388392); + + /* yn (3, x) */ + TEST_ff_f (yn, 3, plus_infty, 0); + TEST_ff_f (yn, 3, nan_value, nan_value); + + TEST_ff_f (yn, 3, 0.1, -5099.3323786129048894); + TEST_ff_f (yn, 3, 0.7, -15.819479052819633505); + TEST_ff_f (yn, 3, 1.0, -5.8215176059647288478); + TEST_ff_f (yn, 3, 2.0, -1.1277837768404277861); + TEST_ff_f (yn, 3, 10.0, -0.25136265718383732978); + + /* yn (10, x) */ + TEST_ff_f (yn, 10, plus_infty, 0); + TEST_ff_f (yn, 10, nan_value, nan_value); + + TEST_ff_f (yn, 10, 0.1, -0.11831335132045197885e19); + TEST_ff_f (yn, 10, 0.7, -0.42447194260703866924e10); + TEST_ff_f (yn, 10, 1.0, -0.12161801427868918929e9); + TEST_ff_f (yn, 10, 2.0, -129184.54220803928264); + TEST_ff_f (yn, 10, 10.0, -0.35981415218340272205); + + END (yn); + +} + + + +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, + HUGE_VALL, HUGE_VAL, HUGE_VALF); + minus_infty = CHOOSE (-HUGE_VALL, -HUGE_VAL, -HUGE_VALF, + -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*"); +} + +/* Definitions of arguments for argp functions. */ +static const struct argp_option options[] = +{ + { "verbose", 'v', "NUMBER", 0, "Level of verbosity (0..3)"}, + { "ulps-file", 'u', NULL, 0, "Output ulps to file ULPs"}, + { "no-max-error", 'f', NULL, 0, + "Don't output maximal errors of functions"}, + { "no-points", 'p', NULL, 0, + "Don't output results of functions invocations"}, + { NULL, 0, NULL, 0, NULL } +}; + +/* Short description of program. */ +static const char doc[] = "Math test suite: " TEST_MSG ; + +/* Prototype for option handler. */ +static error_t parse_opt __P ((int key, char *arg, struct argp_state *state)); + +/* Data structure to communicate with argp functions. */ +static struct argp argp = +{ + options, parse_opt, NULL, doc, +}; + + +/* Handle program arguments. */ +static error_t +parse_opt (int key, char *arg, struct argp_state *state) +{ + switch (key) + { + case 'f': + output_points = 0; + break; + case 'p': + output_max_error = 0; + break; + case 'u': + output_ulps = 1; + break; + case 'v': + if (optarg) + verbose = (unsigned int) strtoul (optarg, NULL, 0); + else + verbose = 3; + break; + default: + return ARGP_ERR_UNKNOWN; + } + return 0; +} + +#if 0 +/* function to check our ulp calculation. */ +void +check_ulp (void) +{ + int i; + + FLOAT u, diff, ulp; + /* This gives one ulp. */ + u = FUNC(nextafter) (10, 20); + check_equal (10.0, u, 1, &diff, &ulp); + printf ("One ulp: % .4" PRINTF_NEXPR "\n", ulp); + + /* This gives one more ulp. */ + u = FUNC(nextafter) (u, 20); + check_equal (10.0, u, 2, &diff, &ulp); + printf ("two ulp: % .4" PRINTF_NEXPR "\n", ulp); + + /* And now calculate 100 ulp. */ + for (i = 2; i < 100; i++) + u = FUNC(nextafter) (u, 20); + check_equal (10.0, u, 100, &diff, &ulp); + printf ("100 ulp: % .4" PRINTF_NEXPR "\n", ulp); +} +#endif + +int +main (int argc, char **argv) +{ + + int remaining; + + verbose = 1; + output_ulps = 0; + output_max_error = 1; + output_points = 1; + + /* Parse and process arguments. */ + argp_parse (&argp, argc, argv, 0, &remaining, NULL); + + if (remaining != argc) + { + fprintf (stderr, "wrong number of arguments"); + argp_help (&argp, stdout, ARGP_HELP_SEE, program_invocation_short_name); + exit (EXIT_FAILURE); + } + + if (output_ulps) + { + ulps_file = fopen ("ULPs", "a"); + if (ulps_file == NULL) + { + perror ("can't open file `ULPs' for writing: "); + exit (1); + } + } + + + initialize (); + printf (TEST_MSG); + +#if 0 + check_ulp (); +#endif + + /* Keep the tests a wee bit ordered (according to ISO 9X). */ + /* Classification macros: */ + fpclassify_test (); + isfinite_test (); + isnormal_test (); + signbit_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 (); + scalbln_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 (); + lgamma_test (); + tgamma_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 (); + // nexttoward_test (); + + /* maximum, minimum and positive difference functions */ + fdim_test (); + fmax_test (); + fmin_test (); + + /* Multiply and add: */ + fma_test (); + + /* Complex functions: */ + cabs_test (); + cacos_test (); + cacosh_test (); + carg_test (); + casin_test (); + casinh_test (); + catan_test (); + catanh_test (); + ccos_test (); + ccosh_test (); + cexp_test (); + clog10_test (); + clog_test (); + cpow_test (); + cproj_test (); + csin_test (); + csinh_test (); + csqrt_test (); + ctan_test (); + ctanh_test (); + + /* Bessel functions: */ + j0_test (); + j1_test (); + jn_test (); + y0_test (); + y1_test (); + yn_test (); + + if (output_ulps) + fclose (ulps_file); + + printf ("\nTest suite completed:\n"); + printf (" %d test cases plus %d tests for exception flags executed.\n", + noTests, noExcTests); + if (noXFails) + printf (" %d expected failures occured.\n", noXFails); + if (noXPasses) + printf (" %d unexpected passes occured.\n", noXPasses); + if (noErrors) + { + printf (" %d errors occured.\n", noErrors); + exit (1); + } + printf (" All tests passed successfully.\n"); + exit (0); +} + +/* + * Local Variables: + * mode:c + * End: + */ |