/* Copyright (C) 1997, 1998, 1999, 2000 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Andreas Jaeger , 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: 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 C99. 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 #include #include #include #include #include #include #include #include /* 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 int ignore_max_ulp; /* Should we ignore max_ulp? */ static FLOAT minus_zero, plus_zero; static FLOAT plus_infty, minus_infty, nan_value; static FLOAT max_error, real_max_error, imag_max_error; #define BUILD_COMPLEX(real, imag) \ ({ __complex__ FLOAT __retval; \ __real__ __retval = (real); \ __imag__ __retval = (imag); \ __retval; }) #define BUILD_COMPLEX_INT(real, imag) \ ({ __complex__ int __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; real_max_error = 0; imag_max_error = 0; } static void set_max_error (FLOAT current, FLOAT *curr_max_error) { if (current > *curr_max_error) *curr_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); } } static void print_complex_function_ulps (const char *function_name, FLOAT real_ulp, FLOAT imag_ulp) { if (output_ulps) { if (real_ulp != 0.0) { fprintf (ulps_file, "Function: Real part of \"%s\":\n", function_name); fprintf (ulps_file, "%s: % .4" PRINTF_NEXPR "\n", CHOOSE("ldouble", "double", "float", "ildouble", "idouble", "ifloat"), real_ulp); } if (imag_ulp != 0.0) { fprintf (ulps_file, "Function: Imaginary part of \"%s\":\n", function_name); fprintf (ulps_file, "%s: % .4" PRINTF_NEXPR "\n", CHOOSE("ldouble", "double", "float", "ildouble", "idouble", "ifloat"), imag_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) { int ok = 0; if (max_error == 0.0 || (max_error <= allowed && !ignore_max_ulp)) { ok = 1; } if (!ok) print_function_ulps (func_name, max_error); if (print_screen_max_error (ok, xfail)) { printf ("Maximal error of `%s'\n", func_name); printf (" is : % .4" PRINTF_NEXPR " ulp\n", max_error); printf (" accepted: % .4" PRINTF_NEXPR " ulp\n", allowed); } update_stats (ok, xfail); } static void print_complex_max_error (const char *func_name, __complex__ FLOAT allowed, __complex__ int xfail) { int ok = 0; if ((real_max_error <= __real__ allowed) && (imag_max_error <= __imag__ allowed)) { ok = 1; } if (!ok) print_complex_function_ulps (func_name, real_max_error, imag_max_error); if (print_screen_max_error (ok, xfail)) { printf ("Maximal error of real part of: %s\n", func_name); printf (" is : % .4" PRINTF_NEXPR " ulp\n", real_max_error); printf (" accepted: % .4" PRINTF_NEXPR " ulp\n", __real__ allowed); printf ("Maximal error of imaginary part of: %s\n", func_name); printf (" is : % .4" PRINTF_NEXPR " ulp\n", imag_max_error); printf (" accepted: % .4" PRINTF_NEXPR " ulp\n", __imag__ 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_internal (const char *test_name, FLOAT computed, FLOAT expected, FLOAT max_ulp, int xfail, int exceptions, FLOAT *curr_max_error) { 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, curr_max_error); print_diff = 1; if (((exceptions & IGNORE_ZERO_INF_SIGN) == 0) && (computed == 0.0 && expected == 0.0 && signbit(computed) != signbit (expected))) ok = 0; else if (ulp == 0.0 || (ulp <= max_ulp && !ignore_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_float (const char *test_name, FLOAT computed, FLOAT expected, FLOAT max_ulp, int xfail, int exceptions) { check_float_internal (test_name, computed, expected, max_ulp, xfail, exceptions, &max_error); } static void check_complex (const char *test_name, __complex__ FLOAT computed, __complex__ FLOAT expected, __complex__ FLOAT max_ulp, __complex__ int xfail, int exception) { FLOAT part_comp, part_exp, part_max_ulp; int part_xfail; char str[200]; sprintf (str, "Real part of: %s", test_name); part_comp = __real__ computed; part_exp = __real__ expected; part_max_ulp = __real__ max_ulp; part_xfail = __real__ xfail; check_float_internal (str, part_comp, part_exp, part_max_ulp, part_xfail, exception, &real_max_error); sprintf (str, "Imaginary part of: %s", test_name); part_comp = __imag__ computed; part_exp = __imag__ expected; part_max_ulp = __imag__ max_ulp; part_xfail = __imag__ xfail; /* Don't check again for exceptions, just pass through the zero/inf sign test. */ check_float_internal (str, part_comp, part_exp, part_max_ulp, part_xfail, exception & IGNORE_ZERO_INF_SIGN, &imag_max_error); } /* 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) { errno = 0; FUNC(acos) (0); if (errno == ENOSYS) /* Function not implemented. */ return; 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) { errno = 0; FUNC(asin) (0); if (errno == ENOSYS) /* Function not implemented. */ return; 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); #ifndef TEST_INLINE TEST_f_f (asinh, plus_infty, plus_infty); TEST_f_f (asinh, minus_infty, minus_infty); #endif TEST_f_f (asinh, nan_value, nan_value); TEST_f_f (asinh, 0.7, 0.652666566082355786L); END (asinh); } static void atan_test (void) { errno = 0; FUNC(atan) (0); if (errno == ENOSYS) /* Function not implemented. */ return; 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, nan_value, nan_value); 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); TEST_f_f (atanh, nan_value, nan_value); /* 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, nan_value, nan_value, nan_value); 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, complex); } 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, complex); } 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); TEST_c_f (carg, nan_value, nan_value, nan_value); 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, complex); } 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, complex); } 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, complex); } 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, complex); } 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, complex); } 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, complex); } 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, nan_value, nan_value); 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, complex); } static void cimag_test (void) { START (cimag); TEST_c_f (cimag, 1.0, 0.0, 0.0); TEST_c_f (cimag, 1.0, minus_zero, minus_zero); TEST_c_f (cimag, 1.0, nan_value, nan_value); TEST_c_f (cimag, nan_value, nan_value, nan_value); TEST_c_f (cimag, 1.0, plus_infty, plus_infty); TEST_c_f (cimag, 1.0, minus_infty, minus_infty); TEST_c_f (cimag, 2.0, 3.0, 3.0); END (cimag); } 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, complex); } 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, complex); } static void conj_test (void) { START (conj); TEST_c_c (conj, 0.0, 0.0, 0.0, minus_zero); TEST_c_c (conj, 0.0, minus_zero, 0.0, 0.0); TEST_c_c (conj, nan_value, nan_value, nan_value, nan_value); TEST_c_c (conj, plus_infty, minus_infty, plus_infty, plus_infty); TEST_c_c (conj, plus_infty, plus_infty, plus_infty, minus_infty); TEST_c_c (conj, 1.0, 2.0, 1.0, -2.0); TEST_c_c (conj, 3.0, -4.0, 3.0, 4.0); END (conj, complex); } 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) { errno = 0; FUNC(cos) (0); if (errno == ENOSYS) /* Function not implemented. */ return; 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, nan_value, nan_value); 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); #ifndef TEST_INLINE TEST_f_f (cosh, plus_infty, plus_infty); TEST_f_f (cosh, minus_infty, plus_infty); #endif TEST_f_f (cosh, nan_value, nan_value); 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); TEST_cc_c (cpow, nan_value, nan_value, nan_value, nan_value, nan_value, nan_value); END (cpow, complex); } 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, complex); } static void creal_test (void) { START (creal); TEST_c_f (creal, 0.0, 1.0, 0.0); TEST_c_f (creal, minus_zero, 1.0, minus_zero); TEST_c_f (creal, nan_value, 1.0, nan_value); TEST_c_f (creal, nan_value, nan_value, nan_value); TEST_c_f (creal, plus_infty, 1.0, plus_infty); TEST_c_f (creal, minus_infty, 1.0, minus_infty); TEST_c_f (creal, 2.0, 3.0, 2.0); END (creal); } 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, complex); } 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, complex); } 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, complex); } 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, complex); } 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, complex); } 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, nan_value, nan_value); 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, nan_value, nan_value); 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) { errno = 0; FUNC(exp) (0); if (errno == ENOSYS) /* Function not implemented. */ return; START (exp); TEST_f_f (exp, 0, 1); TEST_f_f (exp, minus_zero, 1); #ifndef TEST_INLINE TEST_f_f (exp, plus_infty, plus_infty); TEST_f_f (exp, minus_infty, 0); #endif TEST_f_f (exp, nan_value, nan_value); 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, nan_value, nan_value); 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, nan_value, nan_value); 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) { errno = 0; FUNC(expm1) (0); if (errno == ENOSYS) /* Function not implemented. */ return; START (expm1); TEST_f_f (expm1, 0, 0); TEST_f_f (expm1, minus_zero, minus_zero); #ifndef TEST_INLINE TEST_f_f (expm1, plus_infty, plus_infty); TEST_f_f (expm1, minus_infty, -1); #endif TEST_f_f (expm1, nan_value, nan_value); 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, nan_value, nan_value); 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, nan_value, nan_value); 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, nan_value, nan_value, nan_value); 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, plus_infty); TEST_f_f (gamma, nan_value, nan_value); 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); #ifndef TEST_INLINE 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); #endif 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); TEST_f_f (lgamma, nan_value, nan_value); /* 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) { errno = 0; FUNC(log) (1); if (errno == ENOSYS) /* Function not implemented. */ return; 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) { errno = 0; FUNC(log10) (1); if (errno == ENOSYS) /* Function not implemented. */ return; 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, nan_value, nan_value); 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) { errno = 0; FUNC(log1p) (0); if (errno == ENOSYS) /* Function not implemented. */ return; 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, nan_value, nan_value); TEST_f_f (log1p, M_El - 1.0, 1); TEST_f_f (log1p, -0.3, -0.35667494393873237891L); END (log1p); } static void log2_test (void) { errno = 0; FUNC(log2) (1); if (errno == ENOSYS) /* Function not implemented. */ return; 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, nan_value, nan_value); 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, nan_value, nan_value); 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); TEST_f_f (nearbyint, nan_value, nan_value); /* Default rounding mode is round to nearest. */ TEST_f_f (nearbyint, 0.5, 0.0); TEST_f_f (nearbyint, 1.5, 2.0); TEST_f_f (nearbyint, -0.5, minus_zero); TEST_f_f (nearbyint, -1.5, -2.0); 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); } 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); } static void pow_test (void) { errno = 0; FUNC(pow) (0, 0); if (errno == ENOSYS) /* Function not implemented. */ return; 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); #ifndef TEST_INLINE 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); #endif 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); #ifndef TEST_INLINE /* 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); #endif /* 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, nan_value, nan_value, nan_value); 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, nan_value, nan_value, nan_value, IGNORE); 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); /* Default rounding mode is round to nearest. */ TEST_f_f (rint, 0.5, 0.0); TEST_f_f (rint, 1.5, 2.0); TEST_f_f (rint, -0.5, -0.0); TEST_f_f (rint, -1.5, -2.0); 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) { errno = 0; FUNC(sin) (0); if (errno == ENOSYS) /* Function not implemented. */ return; 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, nan_value, nan_value); 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, nan_value, nan_value, nan_value); 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); #ifndef TEST_INLINE TEST_f_f (sinh, plus_infty, plus_infty); TEST_f_f (sinh, minus_infty, minus_infty); #endif TEST_f_f (sinh, nan_value, nan_value); TEST_f_f (sinh, 0.7, 0.75858370183953350346L); END (sinh); } static void sqrt_test (void) { errno = 0; FUNC(sqrt) (1); if (errno == ENOSYS) /* Function not implemented. */ return; 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, nan_value, nan_value); 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) { errno = 0; FUNC(tan) (0); if (errno == ENOSYS) /* Function not implemented. */ return; 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, nan_value, nan_value); 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); #ifndef TEST_INLINE TEST_f_f (tanh, plus_infty, 1); TEST_f_f (tanh, minus_infty, -1); #endif TEST_f_f (tanh, nan_value, nan_value); 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, nan_value, nan_value); 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"}, { "ignore-max-ulp", 'i', "yes/no", 0, "Ignore given maximal errors"}, { 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 (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_max_error = 0; break; case 'i': if (strcmp (arg, "yes") == 0) ignore_max_ulp = 1; else if (strcmp (arg, "no") == 0) ignore_max_ulp = 0; break; case 'p': output_points = 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; /* XXX set to 0 for releases. */ ignore_max_ulp = 0; /* 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 C99). */ /* 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 (); cimag_test (); clog10_test (); clog_test (); conj_test (); cpow_test (); cproj_test (); creal_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: */