diff options
| -rw-r--r-- | ChangeLog | 139 | ||||
| -rw-r--r-- | math/Makefile | 18 | ||||
| -rw-r--r-- | math/libm-test-driver.c | 1328 | ||||
| -rw-r--r-- | math/libm-test-support-double.c | 20 | ||||
| -rw-r--r-- | math/libm-test-support-float.c | 20 | ||||
| -rw-r--r-- | math/libm-test-support-ldouble.c | 20 | ||||
| -rw-r--r-- | math/libm-test-support.c | 1209 | ||||
| -rw-r--r-- | math/libm-test-support.h | 185 |
8 files changed, 1622 insertions, 1317 deletions
@@ -1,3 +1,142 @@ +2017-02-08 Joseph Myers <joseph@codesourcery.com> + + * math/libm-test-support.c: New file. Content from + math/libm-test-driver.c. + * math/libm-test-support.h: Likewise. + * math/libm-test-support-double.c: New file. + * math/libm-test-support-float.c: Likewise. + * math/libm-test-support-ldouble.c: Likewise. + * math/libm-test-driver.c: Remove main comment and header + includes. Include libm-test-support.h. + [!_GNU_SOURCE] (_GNU_SOURCE): Do not define. + (flag_test_errno): Remove static. + (flag_test_exceptions): Likewise. + (flag_test_finite): Likewise. + (flag_test_inline): Likewise. + (flag_test_mathvec): Likewise. + (test_msg): Likewise. + (NO_EXCEPTION): Remove. + (INVALID_EXCEPTION): Likewise. + (DIVIDE_BY_ZERO_EXCEPTION): Likewise. + (OVERFLOW_EXCEPTION): Likewise. + (UNDERFLOW_EXCEPTION): Likewise. + (INEXACT_EXCEPTION): Likewise. + (INVALID_EXCEPTION_OK): Likewise. + (DIVIDE_BY_ZERO_EXCEPTION_OK): Likewise. + (OVERFLOW_EXCEPTION_OK): Likewise. + (UNDERFLOW_EXCEPTION_OK): Likewise. + (NO_INEXACT_EXCEPTION): Likewise. + (EXCEPTIONS_OK): Likewise. + (IGNORE_ZERO_INF_SIGN): Likewise. + (TEST_NAN_SIGN): Likewise. + (TEST_NAN_PAYLOAD): Likewise. + (NO_TEST_INLINE): Likewise. + (XFAIL_TEST): Likewise. + (ERRNO_UNCHANGED): Likewise. + (ERRNO_EDOM): Likewise. + (ERRNO_ERANGE): Likewise. + (IGNORE_RESULT): Likewise. + (NON_FINITE): Likewise. + (TEST_SNAN): Likewise. + (NO_TEST_MATHVEC): Likewise. + (__CONCATX): Likewise. + (TYPE_MIN): Likewise. + (TYPE_TRUE_MIN): Likewise. + (TYPE_MAX): Likewise. + (MIN_EXP): Likewise. + (MAX_EXP): Likewise. + (MANT_DIG): Likewise. + (FSTR_MAX): Likewise. + (ulp_idx): Likewise. + (qtype_str): Remove static. + (TEST_COND_binary32): Remove. + (TEST_COND_binary64): Likewise. + (TEST_COND_binary128): Likewise. + (TEST_COND_ibm128): Likewise. + (TEST_COND_intel96): Likewise. + (TEST_COND_m68k96): Likewise. + (TEST_COND_ibm128_libgcc): Likewise. + (XFAIL_IBM128_LIBGCC): Likewise. + (PAYLOAD_DIG): Likewise. + (UNDERFLOW_EXCEPTION_FLOAT): Likewise. + (UNDERFLOW_EXCEPTION_OK_FLOAT): Likewise. + (UNDERFLOW_EXCEPTION_DOUBLE): Likewise. + (UNDERFLOW_EXCEPTION_OK_DOUBLE): Likewise. + (UNDERFLOW_EXCEPTION_LDOUBLE_IBM): Likewise. + (UNDERFLOW_EXCEPTION_BEFORE_ROUNDING): Likewise. + (TEST_COND_long32): Likewise. + (TEST_COND_long64): Likewise. + (TEST_COND_before_rounding): Likewise. + (TEST_COND_after_rounding): Likewise. + (ulps_file_name): Likewise. + (ulps_file): Likewise. + (output_ulps): Likewise. + (output_dir): Likewise. + (noErrors): Likewise. + (noTests): Likewise. + (noExcTests): Likewise. + (noErrnoTests): Likewise. + (verbose): Likewise. + (output_max_error): Likewise. + (output_points): Likewise. + (ignore_max_ulp): Likewise. + (max_error): Likewise. + (real_max_error): Likewise. + (imag_max_error): Likewise. + (prev_max_error): Likewise. + (prev_real_max_error): Likewise. + (prev_imag_max_error): Likewise. + (max_valid_error): Likewise. + (TYPE_DECIMAL_DIG): Likewise. + (TYPE_HEX_DIG): Likewise. + (fmt_ftostr): Likewise. + (compare_ulp_data): Likewise. + (find_ulps): Likewise. + (init_max_error): Likewise. + (set_max_error): Likewise. + (print_float): Likewise. + (print_screen): Likewise. + (print_screen_max_error): Likewise. + (update_stats): Likewise. + (print_function_ulps): Likewise. + (print_complex_function_ulps): Likewise. + (fpstack_test): Likewise. + (print_max_error): Likewise. + (print_complex_max_error): Likewise. + (test_single_exception): Likewise. + (test_exceptions): Likewise. + (test_single_errno): Likewise. + (test_errno): Likewise. + (ULPDIFF): Likewise. + (ulp): Likewise. + (check_float_internal): Likewise. + (check_float): Likewise. + (check_complex): Likewise. + (check_int): Likewise. + (check_long): Likewise. + (check_bool): Likewise. + (check_longlong): Likewise. + (check_intmax_t): Likewise. + (check_uintmax_t): Likewise. + (enable_test): Likewise. + (matherr): Likewise. + (initialize): Likewise. + (options): Likewise. + (doc): Remove static. + (argp): Likewise. + (parse_opt): Remove. + (check_ulp): Likewise. + (libm_test_init): Likewise. + (libm_test_finish): Likewise. + * math/Makefile (libm-test-support): New variable. + (test-extras): Add libm-test-support files. + (extra-test-objs): Likewise. + (CFLAGS-libm-test-support-float.c): New variable. + (CFLAGS-libm-test-support-double.c): Likewise. + (CFLAGS-libm-test-support-ldouble.c): Likewise. + ($(addprefix $(objpfx),$(libm-tests)): Depend on appropriate + libm-test-support objects. + 2017-02-08 Gabriel F. T. Gomes <gftg@linux.vnet.ibm.com> * math/Makefile (libm-calls): Move w_exp... diff --git a/math/Makefile b/math/Makefile index 0f59123ce9..e5e4412886 100644 --- a/math/Makefile +++ b/math/Makefile @@ -203,6 +203,9 @@ libm-tests = $(foreach t,$(types),test-$(t) test-$(t)-finite test-i$(t)) \ libm-tests.o = $(addsuffix .o,$(libm-tests)) tests += $(libm-tests) +libm-test-support = $(foreach t,$(types),libm-test-support-$(t)) +test-extras += $(libm-test-support) +extra-test-objs += $(addsuffix .o, $(libm-test-support)) libm-vec-test-wrappers = $(addsuffix -wrappers, $(libm-vec-tests)) test-extras += $(libm-vec-test-wrappers) extra-test-objs += $(addsuffix .o, $(libm-vec-test-wrappers)) @@ -290,10 +293,13 @@ libm-test-finite-cflags = $(libm-test-no-inline-cflags) \ -U__FINITE_MATH_ONLY__ -D__FINITE_MATH_ONLY__=1 CFLAGS-test-float.c = $(libm-test-no-inline-cflags) CFLAGS-test-float-finite.c = $(libm-test-finite-cflags) +CFLAGS-libm-test-support-float.c = $(libm-test-no-inline-cflags) CFLAGS-test-double.c = $(libm-test-no-inline-cflags) CFLAGS-test-double-finite.c = $(libm-test-finite-cflags) +CFLAGS-libm-test-support-double.c = $(libm-test-no-inline-cflags) CFLAGS-test-ldouble.c = $(libm-test-no-inline-cflags) CFLAGS-test-ldouble-finite.c = $(libm-test-finite-cflags) +CFLAGS-libm-test-support-ldouble.c = $(libm-test-no-inline-cflags) CFLAGS-test-tgmath.c = -fno-builtin # The following testcase uses very long lines (>3 million), so it may take a # while to compile it. See: http://llvm.org/bugs/show_bug.cgi?id=14106 and @@ -374,6 +380,18 @@ ifneq (no,$(PERL)) $(addprefix $(objpfx), $(libm-tests.o)): $(addprefix $(objpfx),\ $(libm-tests-generated)) +$(addprefix $(objpfx),\ + $(filter test-float% test-ifloat%,\ + $(libm-tests))): $(objpfx)libm-test-support-float.o + +$(addprefix $(objpfx),\ + $(filter test-double% test-idouble%,\ + $(libm-tests))): $(objpfx)libm-test-support-double.o + +$(addprefix $(objpfx),\ + $(filter test-ldouble% test-ildouble%,\ + $(libm-tests))): $(objpfx)libm-test-support-ldouble.o + # Run the math programs to automatically generate ULPs files. .PHONY: regen-ulps diff --git a/math/libm-test-driver.c b/math/libm-test-driver.c index 7773de19bc..1539cd7e4d 100644 --- a/math/libm-test-driver.c +++ b/math/libm-test-driver.c @@ -1,4 +1,4 @@ -/* Support code for testing libm functions. +/* Support code for testing libm functions (driver). Copyright (C) 1997-2017 Free Software Foundation, Inc. This file is part of the GNU C Library. @@ -16,103 +16,14 @@ License along with the GNU C Library; if not, see <http://www.gnu.org/licenses/>. */ -/* Part of testsuite for libm. - - libm-test.inc is processed by a perl script. The resulting file has to - be included by a master file that defines: - - Macros: - FUNC(function): converts general function name (like cos) to - name with correct suffix (e.g. cosl or cosf) - FLOAT: floating point type to test - chooses one of the parameters as delta for testing - equality - PREFIX A macro which defines the prefix for common macros for the - type (i.e LDBL, DBL, or FLT). - LIT A function which appends the correct suffix to a literal. - TYPE_STR A macro which defines a stringitized name of the type. - FTOSTR This macro defines a function similar in type to strfromf - which converts a FLOAT to a string. */ - -/* 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. - - NaN values: The payload of NaNs is set in inputs for functions - where it is significant, and is examined in the outputs of some - functions. - - 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. - - - To Do: All parameter should be numbers that can be represented as - exact floating point values. Currently some values cannot be - represented exactly and therefore the result is not the expected - result. For this we will use 36 digits so that numbers can be - represented exactly. */ - -#ifndef _GNU_SOURCE -# define _GNU_SOURCE -#endif - -#include <complex.h> -#include <math.h> -#include <float.h> -#include <fenv.h> -#include <limits.h> - -#include <errno.h> -#include <stdlib.h> -#include <stdint.h> -#include <stdio.h> -#include <string.h> -#include <argp.h> -#include <tininess.h> -#include <math-tests.h> -#include <math-tests-arch.h> -#include <nan-high-order-bit.h> - -/* This header defines func_ulps, func_real_ulps and func_imag_ulps - arrays. */ -#include "libm-test-ulps.h" +#include "libm-test-support.h" /* Flags set by the including file. */ -static const int flag_test_errno = TEST_ERRNO; -static const int flag_test_exceptions = TEST_EXCEPTIONS; -static const int flag_test_finite = TEST_FINITE; -static const int flag_test_inline = TEST_INLINE; -static const int flag_test_mathvec = TEST_MATHVEC; +const int flag_test_errno = TEST_ERRNO; +const int flag_test_exceptions = TEST_EXCEPTIONS; +const int flag_test_finite = TEST_FINITE; +const int flag_test_inline = TEST_INLINE; +const int flag_test_mathvec = TEST_MATHVEC; #define STRX(x) #x #define STR(x) STRX (x) @@ -129,7 +40,7 @@ static const int flag_test_mathvec = TEST_MATHVEC; #else # define TEST_MSG "testing " STR_FLOAT " (without inline functions)\n" #endif -static const char test_msg[] = TEST_MSG; +const char test_msg[] = TEST_MSG; /* Allow platforms without all rounding modes to test properly, assuming they provide an __FE_UNDEFINED in <bits/fenv.h> which @@ -147,146 +58,16 @@ static const char test_msg[] = TEST_MSG; # define FE_DOWNWARD __FE_UNDEFINED #endif -/* Possible exceptions */ -#define NO_EXCEPTION 0x0 -#define INVALID_EXCEPTION 0x1 -#define DIVIDE_BY_ZERO_EXCEPTION 0x2 -#define OVERFLOW_EXCEPTION 0x4 -#define UNDERFLOW_EXCEPTION 0x8 -#define INEXACT_EXCEPTION 0x10 -/* The next flags signals that those exceptions are allowed but not required. */ -#define INVALID_EXCEPTION_OK 0x20 -#define DIVIDE_BY_ZERO_EXCEPTION_OK 0x40 -#define OVERFLOW_EXCEPTION_OK 0x80 -#define UNDERFLOW_EXCEPTION_OK 0x100 -/* For "inexact" exceptions, the default is allowed but not required - unless INEXACT_EXCEPTION or NO_INEXACT_EXCEPTION is specified. */ -#define NO_INEXACT_EXCEPTION 0x200 -#define EXCEPTIONS_OK INVALID_EXCEPTION_OK+DIVIDE_BY_ZERO_EXCEPTION_OK -/* Some special test flags, passed together with exceptions. */ -#define IGNORE_ZERO_INF_SIGN 0x400 -#define TEST_NAN_SIGN 0x800 -#define TEST_NAN_PAYLOAD 0x1000 -#define NO_TEST_INLINE 0x2000 -#define XFAIL_TEST 0x4000 -/* Indicate errno settings required or disallowed. */ -#define ERRNO_UNCHANGED 0x8000 -#define ERRNO_EDOM 0x10000 -#define ERRNO_ERANGE 0x20000 -/* Flags generated by gen-libm-test.pl, not entered here manually. */ -#define IGNORE_RESULT 0x40000 -#define NON_FINITE 0x80000 -#define TEST_SNAN 0x100000 -#define NO_TEST_MATHVEC 0x200000 - #define TEST_NAN_PAYLOAD_CANONICALIZE (SNAN_TESTS_PRESERVE_PAYLOAD \ ? TEST_NAN_PAYLOAD \ : 0) -#define __CONCATX(a,b) __CONCAT(a,b) - -#define TYPE_MIN __CONCATX (PREFIX, _MIN) -#define TYPE_TRUE_MIN __CONCATX (PREFIX, _TRUE_MIN) -#define TYPE_MAX __CONCATX (PREFIX, _MAX) -#define MIN_EXP __CONCATX (PREFIX, _MIN_EXP) -#define MAX_EXP __CONCATX (PREFIX, _MAX_EXP) -#define MANT_DIG __CONCATX (PREFIX, _MANT_DIG) - -/* Maximum character buffer to store a stringitized FLOAT value. */ -#define FSTR_MAX (128) - #if TEST_INLINE -static const int ulp_idx = __CONCATX (ULP_I_, PREFIX); -static const char qtype_str[] = "i" TYPE_STR; -#else -static const int ulp_idx = __CONCATX (ULP_, PREFIX); -static const char qtype_str[] = TYPE_STR; -#endif - -/* Format specific test macros. */ -#define TEST_COND_binary32 (MANT_DIG == 24 \ - && MIN_EXP == -125 \ - && MAX_EXP == 128) - -#define TEST_COND_binary64 (MANT_DIG == 53 \ - && MIN_EXP == -1021 \ - && MAX_EXP == 1024) - -#define TEST_COND_binary128 (MANT_DIG == 113 \ - && MIN_EXP == -16381 \ - && MAX_EXP == 16384) - -#define TEST_COND_ibm128 (MANT_DIG == 106) - -#define TEST_COND_intel96 (MANT_DIG == 64 \ - && MIN_EXP == -16381 \ - && MAX_EXP == 16384) - -#define TEST_COND_m68k96 (MANT_DIG == 64 \ - && MIN_EXP == -16382 \ - && MAX_EXP == 16384) - -/* The condition ibm128-libgcc is used instead of ibm128 to mark tests - where in principle the glibc code is OK but the tests fail because - of limitations of the libgcc support for that format (e.g. GCC bug - 59666, in non-default rounding modes). */ -#define TEST_COND_ibm128_libgcc TEST_COND_ibm128 - -/* Mark a test as expected to fail for ibm128-libgcc. This is used - via XFAIL_ROUNDING_IBM128_LIBGCC, which gen-libm-test.pl transforms - appropriately for each rounding mode. */ -#define XFAIL_IBM128_LIBGCC (TEST_COND_ibm128_libgcc ? XFAIL_TEST : 0) - -/* Number of bits in NaN payload. */ -#if TEST_COND_ibm128 -# define PAYLOAD_DIG (DBL_MANT_DIG - 2) -#else -# define PAYLOAD_DIG (MANT_DIG - 2) -#endif - -/* Values underflowing only for float. */ -#if TEST_COND_binary32 -# define UNDERFLOW_EXCEPTION_FLOAT UNDERFLOW_EXCEPTION -# define UNDERFLOW_EXCEPTION_OK_FLOAT UNDERFLOW_EXCEPTION_OK -#else -# define UNDERFLOW_EXCEPTION_FLOAT 0 -# define UNDERFLOW_EXCEPTION_OK_FLOAT 0 -#endif - -/* Values underflowing only for double or types with a larger least - positive normal value. */ -#if TEST_COND_binary32 || TEST_COND_binary64 || TEST_COND_ibm128 -# define UNDERFLOW_EXCEPTION_DOUBLE UNDERFLOW_EXCEPTION -# define UNDERFLOW_EXCEPTION_OK_DOUBLE UNDERFLOW_EXCEPTION_OK -#else -# define UNDERFLOW_EXCEPTION_DOUBLE 0 -# define UNDERFLOW_EXCEPTION_OK_DOUBLE 0 -#endif - -/* Values underflowing only for IBM long double or types with a larger least - positive normal value. */ -#if TEST_COND_binary32 || TEST_COND_ibm128 -# define UNDERFLOW_EXCEPTION_LDOUBLE_IBM UNDERFLOW_EXCEPTION +const char qtype_str[] = "i" TYPE_STR; #else -# define UNDERFLOW_EXCEPTION_LDOUBLE_IBM 0 +const char qtype_str[] = TYPE_STR; #endif -/* Values underflowing on architectures detecting tininess before - rounding, but not on those detecting tininess after rounding. */ -#define UNDERFLOW_EXCEPTION_BEFORE_ROUNDING (TININESS_AFTER_ROUNDING \ - ? 0 \ - : UNDERFLOW_EXCEPTION) - -#if LONG_MAX == 0x7fffffff -# define TEST_COND_long32 1 -# define TEST_COND_long64 0 -#else -# define TEST_COND_long32 0 -# define TEST_COND_long64 1 -#endif -#define TEST_COND_before_rounding (!TININESS_AFTER_ROUNDING) -#define TEST_COND_after_rounding TININESS_AFTER_ROUNDING - /* Various constants derived from pi. We must supply them precalculated for accuracy. They are written as a series of postfix operations to keep them concise yet somewhat readable. */ @@ -313,21 +94,6 @@ static const char qtype_str[] = TYPE_STR; /* e */ #define lit_e LITM (M_E) -#define ulps_file_name "ULPs" /* Name of the ULPs file. */ -static FILE *ulps_file; /* File to document difference. */ -static int output_ulps; /* Should ulps printed? */ -static char *output_dir; /* Directory where generated files will be written. */ - -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 noErrnoTests;/* number of tests for errno values */ - -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? */ - #define plus_zero LIT (0.0) #define minus_zero LIT (-0.0) #define plus_infty FUNC (__builtin_inf) () @@ -343,852 +109,6 @@ static int ignore_max_ulp; /* Should we ignore max_ulp? */ /* For nexttoward tests. */ #define snan_value_ld __builtin_nansl ("") -static FLOAT max_error, real_max_error, imag_max_error; - -static FLOAT prev_max_error, prev_real_max_error, prev_imag_max_error; - -static FLOAT max_valid_error; - -/* Sufficient numbers of digits to represent any floating-point value - unambiguously (for any choice of the number of bits in the first - hex digit, in the case of TYPE_HEX_DIG). When used with printf - formats where the precision counts only digits after the point, 1 - is subtracted from these values. */ -#define TYPE_DECIMAL_DIG __CONCATX (PREFIX, _DECIMAL_DIG) -#define TYPE_HEX_DIG ((MANT_DIG + 6) / 4) - -/* Converts VALUE (a floating-point number) to string and writes it to DEST. - PRECISION specifies the number of fractional digits that should be printed. - CONVERSION is the conversion specifier, such as in printf, e.g. 'f' or 'a'. - The output is prepended with an empty space if VALUE is non-negative. */ -static void -fmt_ftostr (char *dest, size_t size, int precision, const char *conversion, - FLOAT value) -{ - char format[64]; - char *ptr_format; - int ret; - - /* Generate the format string. */ - ptr_format = stpcpy (format, "%."); - ret = sprintf (ptr_format, "%d", precision); - ptr_format += ret; - ptr_format = stpcpy (ptr_format, conversion); - - /* Add a space to the beginning of the output string, if the floating-point - number is non-negative. This mimics the behavior of the space (' ') flag - in snprintf, which is not available on strfrom. */ - if (! signbit (value)) - { - *dest = ' '; - dest++; - size--; - } - - /* Call the float to string conversion function, e.g.: strfromd. */ - FTOSTR (dest, size, format, value); -} - -/* Compare KEY (a string, with the name of a function) with ULP (a - pointer to a struct ulp_data structure), returning a value less - than, equal to or greater than zero for use in bsearch. */ - -static int -compare_ulp_data (const void *key, const void *ulp) -{ - const char *keystr = key; - const struct ulp_data *ulpdat = ulp; - return strcmp (keystr, ulpdat->name); -} - -/* Return the ulps for NAME in array DATA with NMEMB elements, or 0 if - no ulps listed. */ - -static FLOAT -find_ulps (const char *name, const struct ulp_data *data, size_t nmemb) -{ - const struct ulp_data *entry = bsearch (name, data, nmemb, sizeof (*data), - compare_ulp_data); - if (entry == NULL) - return 0; - else - return entry->max_ulp[ulp_idx]; -} - -static void -init_max_error (const char *name, int exact) -{ - max_error = 0; - real_max_error = 0; - imag_max_error = 0; - prev_max_error = find_ulps (name, func_ulps, - sizeof (func_ulps) / sizeof (func_ulps[0])); - prev_real_max_error = find_ulps (name, func_real_ulps, - (sizeof (func_real_ulps) - / sizeof (func_real_ulps[0]))); - prev_imag_max_error = find_ulps (name, func_imag_ulps, - (sizeof (func_imag_ulps) - / sizeof (func_imag_ulps[0]))); -#if TEST_COND_ibm128 - /* The documented accuracy of IBM long double division is 3ulp (see - libgcc/config/rs6000/ibm-ldouble-format), so do not require - better accuracy for libm functions that are exactly defined for - other formats. */ - max_valid_error = exact ? 3 : 16; -#else - max_valid_error = exact ? 0 : 9; -#endif - prev_max_error = (prev_max_error <= max_valid_error - ? prev_max_error - : max_valid_error); - prev_real_max_error = (prev_real_max_error <= max_valid_error - ? prev_real_max_error - : max_valid_error); - prev_imag_max_error = (prev_imag_max_error <= max_valid_error - ? prev_imag_max_error - : max_valid_error); - feclearexcept (FE_ALL_EXCEPT); - errno = 0; -} - -static void -set_max_error (FLOAT current, FLOAT *curr_max_error) -{ - if (current > *curr_max_error && current <= max_valid_error) - *curr_max_error = current; -} - - -/* Print a FLOAT. */ -static void -print_float (FLOAT f) -{ - /* As printf doesn't differ between a sNaN and a qNaN, do this manually. */ - if (issignaling (f)) - printf ("sNaN\n"); - else if (isnan (f)) - printf ("qNaN\n"); - else - { - char fstrn[FSTR_MAX], fstrx[FSTR_MAX]; - fmt_ftostr (fstrn, FSTR_MAX, TYPE_DECIMAL_DIG - 1, "e", f); - fmt_ftostr (fstrx, FSTR_MAX, TYPE_HEX_DIG - 1, "a", f); - printf ("%s %s\n", fstrn, fstrx); - } -} - -/* Should the message print to screen? This depends on the verbose flag, - and the test status. */ -static int -print_screen (int ok) -{ - if (output_points - && (verbose > 1 - || (verbose == 1 && ok == 0))) - 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) -{ - if (output_max_error - && (verbose > 1 - || ((verbose == 1) && (ok == 0)))) - return 1; - return 0; -} - -/* Update statistic counters. */ -static void -update_stats (int ok) -{ - ++noTests; - if (!ok) - ++noErrors; -} - -static void -print_function_ulps (const char *function_name, FLOAT ulp) -{ - if (output_ulps) - { - char ustrn[FSTR_MAX]; - FTOSTR (ustrn, FSTR_MAX, "%.0f", FUNC (ceil) (ulp)); - fprintf (ulps_file, "Function: \"%s\":\n", function_name); - fprintf (ulps_file, "%s: %s\n", qtype_str, ustrn); - } -} - - -static void -print_complex_function_ulps (const char *function_name, FLOAT real_ulp, - FLOAT imag_ulp) -{ - if (output_ulps) - { - char fstrn[FSTR_MAX]; - if (real_ulp != 0.0) - { - FTOSTR (fstrn, FSTR_MAX, "%.0f", FUNC (ceil) (real_ulp)); - fprintf (ulps_file, "Function: Real part of \"%s\":\n", function_name); - fprintf (ulps_file, "%s: %s\n", qtype_str, fstrn); - } - if (imag_ulp != 0.0) - { - FTOSTR (fstrn, FSTR_MAX, "%.0f", FUNC (ceil) (imag_ulp)); - fprintf (ulps_file, "Function: Imaginary part of \"%s\":\n", function_name); - fprintf (ulps_file, "%s: %s\n", qtype_str, fstrn); - } - - - } -} - - - -/* Test if Floating-Point stack hasn't changed */ -static void -fpstack_test (const char *test_name) -{ -#if defined (__i386__) || defined (__x86_64__) - 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) -{ - int ok = 0; - - if (max_error == 0.0 || (max_error <= prev_max_error && !ignore_max_ulp)) - { - ok = 1; - } - - if (!ok) - print_function_ulps (func_name, max_error); - - - if (print_screen_max_error (ok)) - { - char mestr[FSTR_MAX], pmestr[FSTR_MAX]; - FTOSTR (mestr, FSTR_MAX, "%.0f", FUNC (ceil) (max_error)); - FTOSTR (pmestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_max_error)); - printf ("Maximal error of `%s'\n", func_name); - printf (" is : %s ulp\n", mestr); - printf (" accepted: %s ulp\n", pmestr); - } - - update_stats (ok); -} - - -static void -print_complex_max_error (const char *func_name) -{ - int real_ok = 0, imag_ok = 0, ok; - - if (real_max_error == 0 - || (real_max_error <= prev_real_max_error && !ignore_max_ulp)) - { - real_ok = 1; - } - - if (imag_max_error == 0 - || (imag_max_error <= prev_imag_max_error && !ignore_max_ulp)) - { - imag_ok = 1; - } - - ok = real_ok && imag_ok; - - if (!ok) - print_complex_function_ulps (func_name, - real_ok ? 0 : real_max_error, - imag_ok ? 0 : imag_max_error); - - if (print_screen_max_error (ok)) - { - char rmestr[FSTR_MAX], prmestr[FSTR_MAX]; - char imestr[FSTR_MAX], pimestr[FSTR_MAX]; - FTOSTR (rmestr, FSTR_MAX, "%.0f", FUNC (ceil) (real_max_error)); - FTOSTR (prmestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_real_max_error)); - FTOSTR (imestr, FSTR_MAX, "%.0f", FUNC (ceil) (imag_max_error)); - FTOSTR (pimestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_imag_max_error)); - printf ("Maximal error of real part of: %s\n", func_name); - printf (" is : %s ulp\n", rmestr); - printf (" accepted: %s ulp\n", prmestr); - printf ("Maximal error of imaginary part of: %s\n", func_name); - printf (" is : %s ulp\n", imestr); - printf (" accepted: %s ulp\n", pimestr); - } - - update_stats (ok); -} - - -#if FE_ALL_EXCEPT -/* 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) -{ - int ok = 1; - if (exception & exc_flag) - { - if (fetestexcept (fe_flag)) - { - if (print_screen (1)) - printf ("Pass: %s: Exception \"%s\" set\n", test_name, flag_name); - } - else - { - ok = 0; - if (print_screen (0)) - printf ("Failure: %s: Exception \"%s\" not set\n", - test_name, flag_name); - } - } - else - { - if (fetestexcept (fe_flag)) - { - ok = 0; - if (print_screen (0)) - printf ("Failure: %s: Exception \"%s\" set\n", - test_name, flag_name); - } - else - { - if (print_screen (1)) - 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) -{ - if (flag_test_exceptions && EXCEPTION_TESTS (FLOAT)) - { - ++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 -#ifdef FE_OVERFLOW - if ((exception & OVERFLOW_EXCEPTION_OK) == 0) - test_single_exception (test_name, exception, OVERFLOW_EXCEPTION, - FE_OVERFLOW, "Overflow"); -#endif - /* Spurious "underflow" and "inexact" exceptions are always - allowed for IBM long double, in line with the underlying - arithmetic. */ -#ifdef FE_UNDERFLOW - if ((exception & UNDERFLOW_EXCEPTION_OK) == 0 - && !(TEST_COND_ibm128 - && (exception & UNDERFLOW_EXCEPTION) == 0)) - test_single_exception (test_name, exception, UNDERFLOW_EXCEPTION, - FE_UNDERFLOW, "Underflow"); -#endif -#ifdef FE_INEXACT - if ((exception & (INEXACT_EXCEPTION | NO_INEXACT_EXCEPTION)) != 0 - && !(TEST_COND_ibm128 - && (exception & NO_INEXACT_EXCEPTION) != 0)) - test_single_exception (test_name, exception, INEXACT_EXCEPTION, - FE_INEXACT, "Inexact"); -#endif - } - feclearexcept (FE_ALL_EXCEPT); -} - -/* Test whether errno for TEST_NAME, set to ERRNO_VALUE, has value - EXPECTED_VALUE (description EXPECTED_NAME). */ -static void -test_single_errno (const char *test_name, int errno_value, - int expected_value, const char *expected_name) -{ - if (errno_value == expected_value) - { - if (print_screen (1)) - printf ("Pass: %s: errno set to %d (%s)\n", test_name, errno_value, - expected_name); - } - else - { - ++noErrors; - if (print_screen (0)) - printf ("Failure: %s: errno set to %d, expected %d (%s)\n", - test_name, errno_value, expected_value, expected_name); - } -} - -/* Test whether errno (value ERRNO_VALUE) has been for TEST_NAME set - as required by EXCEPTIONS. */ -static void -test_errno (const char *test_name, int errno_value, int exceptions) -{ - if (flag_test_errno) - { - ++noErrnoTests; - if (exceptions & ERRNO_UNCHANGED) - test_single_errno (test_name, errno_value, 0, "unchanged"); - if (exceptions & ERRNO_EDOM) - test_single_errno (test_name, errno_value, EDOM, "EDOM"); - if (exceptions & ERRNO_ERANGE) - test_single_errno (test_name, errno_value, ERANGE, "ERANGE"); - } -} - -/* Returns the number of ulps that GIVEN is away from EXPECTED. */ -#define ULPDIFF(given, expected) \ - (FUNC(fabs) ((given) - (expected)) / ulp (expected)) - -/* Returns the size of an ulp for VALUE. */ -static FLOAT -ulp (FLOAT value) -{ - FLOAT ulp; - - switch (fpclassify (value)) - { - case FP_ZERO: - /* We compute the distance to the next FP which is the same as the - value of the smallest subnormal number. Previously we used - 2^-(MANT_DIG - 1) which is too large a value to be useful. Note that we - can't use ilogb(0), since that isn't a valid thing to do. As a point - of comparison Java's ulp returns the next normal value e.g. - 2^(1 - MAX_EXP) for ulp(0), but that is not what we want for - glibc. */ - /* Fall through... */ - case FP_SUBNORMAL: - /* The next closest subnormal value is a constant distance away. */ - ulp = FUNC(ldexp) (1.0, MIN_EXP - MANT_DIG); - break; - - case FP_NORMAL: - ulp = FUNC(ldexp) (1.0, FUNC(ilogb) (value) - MANT_DIG + 1); - break; - - default: - /* It should never happen. */ - abort (); - break; - } - return ulp; -} - -static void -check_float_internal (const char *test_name, FLOAT computed, FLOAT expected, - int exceptions, - FLOAT *curr_max_error, FLOAT max_ulp) -{ - int ok = 0; - int print_diff = 0; - FLOAT diff = 0; - FLOAT ulps = 0; - int errno_value = errno; - - test_exceptions (test_name, exceptions); - test_errno (test_name, errno_value, exceptions); - if (exceptions & IGNORE_RESULT) - goto out; - if (issignaling (computed) && issignaling (expected)) - { - if ((exceptions & TEST_NAN_SIGN) != 0 - && signbit (computed) != signbit (expected)) - { - ok = 0; - printf ("signaling NaN has wrong sign.\n"); - } - else if ((exceptions & TEST_NAN_PAYLOAD) != 0 - && (FUNC (getpayload) (&computed) - != FUNC (getpayload) (&expected))) - { - ok = 0; - printf ("signaling NaN has wrong payload.\n"); - } - else - ok = 1; - } - else if (issignaling (computed) || issignaling (expected)) - ok = 0; - else if (isnan (computed) && isnan (expected)) - { - if ((exceptions & TEST_NAN_SIGN) != 0 - && signbit (computed) != signbit (expected)) - { - ok = 0; - printf ("quiet NaN has wrong sign.\n"); - } - else if ((exceptions & TEST_NAN_PAYLOAD) != 0 - && (FUNC (getpayload) (&computed) - != FUNC (getpayload) (&expected))) - { - ok = 0; - printf ("quiet NaN has wrong payload.\n"); - } - else - ok = 1; - } - else if (isinf (computed) && isinf (expected)) - { - /* Test for sign of infinities. */ - if ((exceptions & IGNORE_ZERO_INF_SIGN) == 0 - && signbit (computed) != signbit (expected)) - { - ok = 0; - printf ("infinity has wrong sign.\n"); - } - else - ok = 1; - } - /* Don't calculate ULPs for infinities or any kind of NaNs. */ - else if (isinf (computed) || isnan (computed) - || isinf (expected) || isnan (expected)) - ok = 0; - else - { - diff = FUNC(fabs) (computed - expected); - ulps = ULPDIFF (computed, expected); - set_max_error (ulps, 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 (ulps <= max_ulp && !ignore_max_ulp) - ok = 1; - else - ok = 0; - } - if (print_screen (ok)) - { - if (!ok) - printf ("Failure: "); - printf ("Test: %s\n", test_name); - printf ("Result:\n"); - printf (" is: "); - print_float (computed); - printf (" should be: "); - print_float (expected); - if (print_diff) - { - char dstrn[FSTR_MAX], dstrx[FSTR_MAX]; - char ustrn[FSTR_MAX], mustrn[FSTR_MAX]; - fmt_ftostr (dstrn, FSTR_MAX, TYPE_DECIMAL_DIG - 1, "e", diff); - fmt_ftostr (dstrx, FSTR_MAX, TYPE_HEX_DIG - 1, "a", diff); - fmt_ftostr (ustrn, FSTR_MAX, 4, "f", ulps); - fmt_ftostr (mustrn, FSTR_MAX, 4, "f", max_ulp); - printf (" difference: %s %s\n", dstrn, dstrx); - printf (" ulp : %s\n", ustrn); - printf (" max.ulp : %s\n", mustrn); - } - } - update_stats (ok); - - out: - fpstack_test (test_name); - errno = 0; -} - - -static void -check_float (const char *test_name, FLOAT computed, FLOAT expected, - int exceptions) -{ - check_float_internal (test_name, computed, expected, - exceptions, &max_error, prev_max_error); -} - - -static void -check_complex (const char *test_name, __complex__ FLOAT computed, - __complex__ FLOAT expected, - int exception) -{ - FLOAT part_comp, part_exp; - char *str; - - if (asprintf (&str, "Real part of: %s", test_name) == -1) - abort (); - - part_comp = __real__ computed; - part_exp = __real__ expected; - - check_float_internal (str, part_comp, part_exp, - exception, &real_max_error, prev_real_max_error); - free (str); - - if (asprintf (&str, "Imaginary part of: %s", test_name) == -1) - abort (); - - part_comp = __imag__ computed; - part_exp = __imag__ expected; - - /* Don't check again for exceptions or errno, just pass through the - other relevant flags. */ - check_float_internal (str, part_comp, part_exp, - exception & (IGNORE_ZERO_INF_SIGN - | TEST_NAN_SIGN - | IGNORE_RESULT), - &imag_max_error, prev_imag_max_error); - free (str); -} - - -/* Check that computed and expected values are equal (int values). */ -static void -check_int (const char *test_name, int computed, int expected, - int exceptions) -{ - int ok = 0; - int errno_value = errno; - - test_exceptions (test_name, exceptions); - test_errno (test_name, errno_value, exceptions); - if (exceptions & IGNORE_RESULT) - goto out; - noTests++; - if (computed == expected) - ok = 1; - - if (print_screen (ok)) - { - 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); - out: - fpstack_test (test_name); - errno = 0; -} - - -/* 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, - int exceptions) -{ - int ok = 0; - int errno_value = errno; - - test_exceptions (test_name, exceptions); - test_errno (test_name, errno_value, exceptions); - if (exceptions & IGNORE_RESULT) - goto out; - noTests++; - if (computed == expected) - ok = 1; - - if (print_screen (ok)) - { - 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); - out: - fpstack_test (test_name); - errno = 0; -} - - -/* Check that computed value is true/false. */ -static void -check_bool (const char *test_name, int computed, int expected, - int exceptions) -{ - int ok = 0; - int errno_value = errno; - - test_exceptions (test_name, exceptions); - test_errno (test_name, errno_value, exceptions); - if (exceptions & IGNORE_RESULT) - goto out; - noTests++; - if ((computed == 0) == (expected == 0)) - ok = 1; - - if (print_screen (ok)) - { - 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); - out: - fpstack_test (test_name); - errno = 0; -} - - -/* 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, - int exceptions) -{ - int ok = 0; - int errno_value = errno; - - test_exceptions (test_name, exceptions); - test_errno (test_name, errno_value, exceptions); - if (exceptions & IGNORE_RESULT) - goto out; - noTests++; - if (computed == expected) - ok = 1; - - if (print_screen (ok)) - { - 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); - out: - fpstack_test (test_name); - errno = 0; -} - - -/* Check that computed and expected values are equal (intmax_t values). */ -static void -check_intmax_t (const char *test_name, intmax_t computed, - intmax_t expected, int exceptions) -{ - int ok = 0; - int errno_value = errno; - - test_exceptions (test_name, exceptions); - test_errno (test_name, errno_value, exceptions); - if (exceptions & IGNORE_RESULT) - goto out; - noTests++; - if (computed == expected) - ok = 1; - - if (print_screen (ok)) - { - if (!ok) - printf ("Failure:"); - printf ("Test: %s\n", test_name); - printf ("Result:\n"); - printf (" is: %jd\n", computed); - printf (" should be: %jd\n", expected); - } - - update_stats (ok); - out: - fpstack_test (test_name); - errno = 0; -} - - -/* Check that computed and expected values are equal (uintmax_t values). */ -static void -check_uintmax_t (const char *test_name, uintmax_t computed, - uintmax_t expected, int exceptions) -{ - int ok = 0; - int errno_value = errno; - - test_exceptions (test_name, exceptions); - test_errno (test_name, errno_value, exceptions); - if (exceptions & IGNORE_RESULT) - goto out; - noTests++; - if (computed == expected) - ok = 1; - - if (print_screen (ok)) - { - if (!ok) - printf ("Failure:"); - printf ("Test: %s\n", test_name); - printf ("Result:\n"); - printf (" is: %ju\n", computed); - printf (" should be: %ju\n", expected); - } - - update_stats (ok); - out: - fpstack_test (test_name); - errno = 0; -} - -/* Return whether a test with flags EXCEPTIONS should be run. */ -static int -enable_test (int exceptions) -{ - if (exceptions & XFAIL_TEST) - return 0; - if (flag_test_inline && (exceptions & NO_TEST_INLINE)) - return 0; - if (flag_test_finite && (exceptions & NON_FINITE) != 0) - return 0; - if (!SNAN_TESTS (FLOAT) && (exceptions & TEST_SNAN) != 0) - return 0; - if (flag_test_mathvec && (exceptions & NO_TEST_MATHVEC) != 0) - return 0; - - return 1; -} - /* Structures for each kind of test. */ /* Used for both RUN_TEST_LOOP_f_f and RUN_TEST_LOOP_fp_f. */ struct test_f_f_data @@ -2081,237 +1001,11 @@ struct test_Ff_b1_data } \ while (0); -/* This is to prevent messages from the SVID libm emulation. */ -int -matherr (struct exception *x __attribute__ ((unused))) -{ - return 1; -} - -static void -initialize (void) -{ - fpstack_test ("start *init*"); - - /* Clear all exceptions. From now on we must not get random exceptions. */ - feclearexcept (FE_ALL_EXCEPT); - errno = 0; - - /* 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"}, - { "output-dir", 'o', "DIR", 0, - "Directory where generated files will be placed"}, - { 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 'o': - output_dir = (char *) malloc (strlen (arg) + 1); - if (output_dir != NULL) - strcpy (output_dir, arg); - else - return errno; - 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; -} - -/* Verify that our ulp () implementation is behaving as expected - or abort. */ -void -check_ulp (void) -{ - FLOAT ulps, ulpx, value; - int i; - /* Check ulp of zero is a subnormal value... */ - ulps = ulp (0x0.0p0); - if (fpclassify (ulps) != FP_SUBNORMAL) - { - fprintf (stderr, "ulp (0x0.0p0) is not FP_SUBNORMAL!\n"); - exit (EXIT_FAILURE); - } - /* Check that the ulp of one is a normal value... */ - ulps = ulp (1.0L); - if (fpclassify (ulps) != FP_NORMAL) - { - fprintf (stderr, "ulp (1.0L) is not FP_NORMAL\n"); - exit (EXIT_FAILURE); - } - - /* Compute the next subnormal value using nextafter to validate ulp. - We allow +/- 1 ulp around the represented value. */ - value = FUNC(nextafter) (0, 1); - ulps = ULPDIFF (value, 0); - ulpx = ulp (1.0L); - if (ulps < (1.0L - ulpx) || ulps > (1.0L + ulpx)) - { - fprintf (stderr, "Value outside of 1 +/- 1ulp.\n"); - exit (EXIT_FAILURE); - } - /* Compute the nearest representable number from 10 towards 20. - The result is 10 + 1ulp. We use this to check the ulp function. - We allow +/- 1 ulp around the represented value. */ - value = FUNC(nextafter) (10, 20); - ulps = ULPDIFF (value, 10); - ulpx = ulp (1.0L); - if (ulps < (1.0L - ulpx) || ulps > (1.0L + ulpx)) - { - fprintf (stderr, "Value outside of 1 +/- 1ulp.\n"); - exit (EXIT_FAILURE); - } - /* This gives one more ulp. */ - value = FUNC(nextafter) (value, 20); - ulps = ULPDIFF (value, 10); - ulpx = ulp (2.0L); - if (ulps < (2.0L - ulpx) || ulps > (2.0L + ulpx)) - { - fprintf (stderr, "Value outside of 2 +/- 1ulp.\n"); - exit (EXIT_FAILURE); - } - /* And now calculate 100 ulp. */ - for (i = 2; i < 100; i++) - value = FUNC(nextafter) (value, 20); - ulps = ULPDIFF (value, 10); - ulpx = ulp (100.0L); - if (ulps < (100.0L - ulpx) || ulps > (100.0L + ulpx)) - { - fprintf (stderr, "Value outside of 100 +/- 1ulp.\n"); - exit (EXIT_FAILURE); - } -} +const char doc[] = "Math test suite: " TEST_MSG ; static void do_test (void); -/* Do all initialization for a test run with arguments given by ARGC - and ARGV. */ -static void -libm_test_init (int argc, char **argv) -{ - int remaining; - char *ulps_file_path; - size_t dir_len = 0; - - verbose = 1; - output_ulps = 0; - output_max_error = 1; - output_points = 1; - output_dir = NULL; - /* 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) - { - if (output_dir != NULL) - dir_len = strlen (output_dir); - ulps_file_path = (char *) malloc (dir_len + strlen (ulps_file_name) + 1); - if (ulps_file_path == NULL) - { - perror ("can't allocate path for `ULPs' file: "); - exit (1); - } - sprintf (ulps_file_path, "%s%s", output_dir == NULL ? "" : output_dir, ulps_file_name); - ulps_file = fopen (ulps_file_path, "a"); - if (ulps_file == NULL) - { - perror ("can't open file `ULPs' for writing: "); - exit (1); - } - } - - - initialize (); - fputs (test_msg, stdout); - - INIT_ARCH_EXT; - - check_ulp (); -} - -/* Process the test results, returning the exit status. */ -static int -libm_test_finish (void) -{ - if (output_ulps) - fclose (ulps_file); - - printf ("\nTest suite completed:\n"); - printf (" %d test cases plus %d tests for exception flags and\n" - " %d tests for errno executed.\n", - noTests, noExcTests, noErrnoTests); - if (noErrors) - { - printf (" %d errors occurred.\n", noErrors); - return 1; - } - printf (" All tests passed successfully.\n"); - - return 0; -} - int main (int argc, char **argv) { diff --git a/math/libm-test-support-double.c b/math/libm-test-support-double.c new file mode 100644 index 0000000000..c90925a26d --- /dev/null +++ b/math/libm-test-support-double.c @@ -0,0 +1,20 @@ +/* Support code for testing libm functions (double). + Copyright (C) 2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 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 + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#include "test-double.h" +#include "libm-test-support.c" diff --git a/math/libm-test-support-float.c b/math/libm-test-support-float.c new file mode 100644 index 0000000000..842d933370 --- /dev/null +++ b/math/libm-test-support-float.c @@ -0,0 +1,20 @@ +/* Support code for testing libm functions (float). + Copyright (C) 2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 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 + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#include "test-float.h" +#include "libm-test-support.c" diff --git a/math/libm-test-support-ldouble.c b/math/libm-test-support-ldouble.c new file mode 100644 index 0000000000..f1eb9c8e65 --- /dev/null +++ b/math/libm-test-support-ldouble.c @@ -0,0 +1,20 @@ +/* Support code for testing libm functions (long double). + Copyright (C) 2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 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 + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#include "test-ldouble.h" +#include "libm-test-support.c" diff --git a/math/libm-test-support.c b/math/libm-test-support.c new file mode 100644 index 0000000000..d387f813d0 --- /dev/null +++ b/math/libm-test-support.c @@ -0,0 +1,1209 @@ +/* Support code for testing libm functions (compiled once per type). + Copyright (C) 1997-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 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 + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +/* Part of testsuite for libm. + + libm-test-support.c contains functions shared by tests of different + libm functions and types; it is compiled once per type. + libm-test-driver.c defines the main function, and various variables + that are used to configure the code in libm-test-support.c for + different types and for variants such as testing inline functions. + + The tests of individual functions are in .inc files processed by + gen-libm-test.pl, with the resulting files included together with + libm-test-driver.c. + + The per-type headers included both before libm-test-support.c and + for the tests of individual functions must define the following + macros: + + FUNC(function): Convert general function name (like cos) to name + with correct suffix (e.g. cosl or cosf). + + FLOAT: Floating-point type to test. + + BUILD_COMPLEX(real, imag): Create a complex number by calling a + macro such as CMPLX. + + PREFIX: The prefix for <float.h> macros for the type (e.g. LDBL, + DBL, or FLT). + + TYPE_STR: The name of the type as used in ulps files, as a string. + + LIT: Append the correct suffix to a literal. + + LITM: Append the correct suffix to an M_* macro name. + + FTOSTR: A function similar in type to strfromf which converts a + FLOAT to a string. + + snan_value_MACRO: The macro such as SNAN for a signaling NaN for + the type. + +*/ + +/* 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. + + NaN values: The payload of NaNs is set in inputs for functions + where it is significant, and is examined in the outputs of some + functions. + + 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. + + + To Do: All parameter should be numbers that can be represented as + exact floating point values. Currently some values cannot be + represented exactly and therefore the result is not the expected + result. For this we will use 36 digits so that numbers can be + represented exactly. */ + +#include "libm-test-support.h" + +#include <argp.h> +#include <errno.h> +#include <string.h> + +/* This header defines func_ulps, func_real_ulps and func_imag_ulps + arrays. */ +#include "libm-test-ulps.h" + +/* Maximum character buffer to store a stringitized FLOAT value. */ +#define FSTR_MAX (128) + +#define ulps_file_name "ULPs" /* Name of the ULPs file. */ +static FILE *ulps_file; /* File to document difference. */ +static int output_ulps; /* Should ulps printed? */ +static char *output_dir; /* Directory where generated files will be written. */ + +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 noErrnoTests;/* number of tests for errno values */ + +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 max_error, real_max_error, imag_max_error; + +static FLOAT prev_max_error, prev_real_max_error, prev_imag_max_error; + +static FLOAT max_valid_error; + +/* Sufficient numbers of digits to represent any floating-point value + unambiguously (for any choice of the number of bits in the first + hex digit, in the case of TYPE_HEX_DIG). When used with printf + formats where the precision counts only digits after the point, 1 + is subtracted from these values. */ +#define TYPE_DECIMAL_DIG __CONCATX (PREFIX, _DECIMAL_DIG) +#define TYPE_HEX_DIG ((MANT_DIG + 6) / 4) + +/* Converts VALUE (a floating-point number) to string and writes it to DEST. + PRECISION specifies the number of fractional digits that should be printed. + CONVERSION is the conversion specifier, such as in printf, e.g. 'f' or 'a'. + The output is prepended with an empty space if VALUE is non-negative. */ +static void +fmt_ftostr (char *dest, size_t size, int precision, const char *conversion, + FLOAT value) +{ + char format[64]; + char *ptr_format; + int ret; + + /* Generate the format string. */ + ptr_format = stpcpy (format, "%."); + ret = sprintf (ptr_format, "%d", precision); + ptr_format += ret; + ptr_format = stpcpy (ptr_format, conversion); + + /* Add a space to the beginning of the output string, if the floating-point + number is non-negative. This mimics the behavior of the space (' ') flag + in snprintf, which is not available on strfrom. */ + if (! signbit (value)) + { + *dest = ' '; + dest++; + size--; + } + + /* Call the float to string conversion function, e.g.: strfromd. */ + FTOSTR (dest, size, format, value); +} + +/* Compare KEY (a string, with the name of a function) with ULP (a + pointer to a struct ulp_data structure), returning a value less + than, equal to or greater than zero for use in bsearch. */ + +static int +compare_ulp_data (const void *key, const void *ulp) +{ + const char *keystr = key; + const struct ulp_data *ulpdat = ulp; + return strcmp (keystr, ulpdat->name); +} + +static const int ulp_i_idx = __CONCATX (ULP_I_, PREFIX); +static const int ulp_idx = __CONCATX (ULP_, PREFIX); + +/* Return the ulps for NAME in array DATA with NMEMB elements, or 0 if + no ulps listed. */ + +static FLOAT +find_ulps (const char *name, const struct ulp_data *data, size_t nmemb) +{ + const struct ulp_data *entry = bsearch (name, data, nmemb, sizeof (*data), + compare_ulp_data); + if (entry == NULL) + return 0; + else + return entry->max_ulp[(flag_test_inline ? ulp_i_idx : ulp_idx)]; +} + +void +init_max_error (const char *name, int exact) +{ + max_error = 0; + real_max_error = 0; + imag_max_error = 0; + prev_max_error = find_ulps (name, func_ulps, + sizeof (func_ulps) / sizeof (func_ulps[0])); + prev_real_max_error = find_ulps (name, func_real_ulps, + (sizeof (func_real_ulps) + / sizeof (func_real_ulps[0]))); + prev_imag_max_error = find_ulps (name, func_imag_ulps, + (sizeof (func_imag_ulps) + / sizeof (func_imag_ulps[0]))); +#if TEST_COND_ibm128 + /* The documented accuracy of IBM long double division is 3ulp (see + libgcc/config/rs6000/ibm-ldouble-format), so do not require + better accuracy for libm functions that are exactly defined for + other formats. */ + max_valid_error = exact ? 3 : 16; +#else + max_valid_error = exact ? 0 : 9; +#endif + prev_max_error = (prev_max_error <= max_valid_error + ? prev_max_error + : max_valid_error); + prev_real_max_error = (prev_real_max_error <= max_valid_error + ? prev_real_max_error + : max_valid_error); + prev_imag_max_error = (prev_imag_max_error <= max_valid_error + ? prev_imag_max_error + : max_valid_error); + feclearexcept (FE_ALL_EXCEPT); + errno = 0; +} + +static void +set_max_error (FLOAT current, FLOAT *curr_max_error) +{ + if (current > *curr_max_error && current <= max_valid_error) + *curr_max_error = current; +} + + +/* Print a FLOAT. */ +static void +print_float (FLOAT f) +{ + /* As printf doesn't differ between a sNaN and a qNaN, do this manually. */ + if (issignaling (f)) + printf ("sNaN\n"); + else if (isnan (f)) + printf ("qNaN\n"); + else + { + char fstrn[FSTR_MAX], fstrx[FSTR_MAX]; + fmt_ftostr (fstrn, FSTR_MAX, TYPE_DECIMAL_DIG - 1, "e", f); + fmt_ftostr (fstrx, FSTR_MAX, TYPE_HEX_DIG - 1, "a", f); + printf ("%s %s\n", fstrn, fstrx); + } +} + +/* Should the message print to screen? This depends on the verbose flag, + and the test status. */ +static int +print_screen (int ok) +{ + if (output_points + && (verbose > 1 + || (verbose == 1 && ok == 0))) + 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) +{ + if (output_max_error + && (verbose > 1 + || ((verbose == 1) && (ok == 0)))) + return 1; + return 0; +} + +/* Update statistic counters. */ +static void +update_stats (int ok) +{ + ++noTests; + if (!ok) + ++noErrors; +} + +static void +print_function_ulps (const char *function_name, FLOAT ulp) +{ + if (output_ulps) + { + char ustrn[FSTR_MAX]; + FTOSTR (ustrn, FSTR_MAX, "%.0f", FUNC (ceil) (ulp)); + fprintf (ulps_file, "Function: \"%s\":\n", function_name); + fprintf (ulps_file, "%s: %s\n", qtype_str, ustrn); + } +} + + +static void +print_complex_function_ulps (const char *function_name, FLOAT real_ulp, + FLOAT imag_ulp) +{ + if (output_ulps) + { + char fstrn[FSTR_MAX]; + if (real_ulp != 0.0) + { + FTOSTR (fstrn, FSTR_MAX, "%.0f", FUNC (ceil) (real_ulp)); + fprintf (ulps_file, "Function: Real part of \"%s\":\n", function_name); + fprintf (ulps_file, "%s: %s\n", qtype_str, fstrn); + } + if (imag_ulp != 0.0) + { + FTOSTR (fstrn, FSTR_MAX, "%.0f", FUNC (ceil) (imag_ulp)); + fprintf (ulps_file, "Function: Imaginary part of \"%s\":\n", function_name); + fprintf (ulps_file, "%s: %s\n", qtype_str, fstrn); + } + + + } +} + + + +/* Test if Floating-Point stack hasn't changed */ +static void +fpstack_test (const char *test_name) +{ +#if defined (__i386__) || defined (__x86_64__) + 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 +} + + +void +print_max_error (const char *func_name) +{ + int ok = 0; + + if (max_error == 0.0 || (max_error <= prev_max_error && !ignore_max_ulp)) + { + ok = 1; + } + + if (!ok) + print_function_ulps (func_name, max_error); + + + if (print_screen_max_error (ok)) + { + char mestr[FSTR_MAX], pmestr[FSTR_MAX]; + FTOSTR (mestr, FSTR_MAX, "%.0f", FUNC (ceil) (max_error)); + FTOSTR (pmestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_max_error)); + printf ("Maximal error of `%s'\n", func_name); + printf (" is : %s ulp\n", mestr); + printf (" accepted: %s ulp\n", pmestr); + } + + update_stats (ok); +} + + +void +print_complex_max_error (const char *func_name) +{ + int real_ok = 0, imag_ok = 0, ok; + + if (real_max_error == 0 + || (real_max_error <= prev_real_max_error && !ignore_max_ulp)) + { + real_ok = 1; + } + + if (imag_max_error == 0 + || (imag_max_error <= prev_imag_max_error && !ignore_max_ulp)) + { + imag_ok = 1; + } + + ok = real_ok && imag_ok; + + if (!ok) + print_complex_function_ulps (func_name, + real_ok ? 0 : real_max_error, + imag_ok ? 0 : imag_max_error); + + if (print_screen_max_error (ok)) + { + char rmestr[FSTR_MAX], prmestr[FSTR_MAX]; + char imestr[FSTR_MAX], pimestr[FSTR_MAX]; + FTOSTR (rmestr, FSTR_MAX, "%.0f", FUNC (ceil) (real_max_error)); + FTOSTR (prmestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_real_max_error)); + FTOSTR (imestr, FSTR_MAX, "%.0f", FUNC (ceil) (imag_max_error)); + FTOSTR (pimestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_imag_max_error)); + printf ("Maximal error of real part of: %s\n", func_name); + printf (" is : %s ulp\n", rmestr); + printf (" accepted: %s ulp\n", prmestr); + printf ("Maximal error of imaginary part of: %s\n", func_name); + printf (" is : %s ulp\n", imestr); + printf (" accepted: %s ulp\n", pimestr); + } + + update_stats (ok); +} + + +#if FE_ALL_EXCEPT +/* 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) +{ + int ok = 1; + if (exception & exc_flag) + { + if (fetestexcept (fe_flag)) + { + if (print_screen (1)) + printf ("Pass: %s: Exception \"%s\" set\n", test_name, flag_name); + } + else + { + ok = 0; + if (print_screen (0)) + printf ("Failure: %s: Exception \"%s\" not set\n", + test_name, flag_name); + } + } + else + { + if (fetestexcept (fe_flag)) + { + ok = 0; + if (print_screen (0)) + printf ("Failure: %s: Exception \"%s\" set\n", + test_name, flag_name); + } + else + { + if (print_screen (1)) + 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) +{ + if (flag_test_exceptions && EXCEPTION_TESTS (FLOAT)) + { + ++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 +#ifdef FE_OVERFLOW + if ((exception & OVERFLOW_EXCEPTION_OK) == 0) + test_single_exception (test_name, exception, OVERFLOW_EXCEPTION, + FE_OVERFLOW, "Overflow"); +#endif + /* Spurious "underflow" and "inexact" exceptions are always + allowed for IBM long double, in line with the underlying + arithmetic. */ +#ifdef FE_UNDERFLOW + if ((exception & UNDERFLOW_EXCEPTION_OK) == 0 + && !(TEST_COND_ibm128 + && (exception & UNDERFLOW_EXCEPTION) == 0)) + test_single_exception (test_name, exception, UNDERFLOW_EXCEPTION, + FE_UNDERFLOW, "Underflow"); +#endif +#ifdef FE_INEXACT + if ((exception & (INEXACT_EXCEPTION | NO_INEXACT_EXCEPTION)) != 0 + && !(TEST_COND_ibm128 + && (exception & NO_INEXACT_EXCEPTION) != 0)) + test_single_exception (test_name, exception, INEXACT_EXCEPTION, + FE_INEXACT, "Inexact"); +#endif + } + feclearexcept (FE_ALL_EXCEPT); +} + +/* Test whether errno for TEST_NAME, set to ERRNO_VALUE, has value + EXPECTED_VALUE (description EXPECTED_NAME). */ +static void +test_single_errno (const char *test_name, int errno_value, + int expected_value, const char *expected_name) +{ + if (errno_value == expected_value) + { + if (print_screen (1)) + printf ("Pass: %s: errno set to %d (%s)\n", test_name, errno_value, + expected_name); + } + else + { + ++noErrors; + if (print_screen (0)) + printf ("Failure: %s: errno set to %d, expected %d (%s)\n", + test_name, errno_value, expected_value, expected_name); + } +} + +/* Test whether errno (value ERRNO_VALUE) has been for TEST_NAME set + as required by EXCEPTIONS. */ +static void +test_errno (const char *test_name, int errno_value, int exceptions) +{ + if (flag_test_errno) + { + ++noErrnoTests; + if (exceptions & ERRNO_UNCHANGED) + test_single_errno (test_name, errno_value, 0, "unchanged"); + if (exceptions & ERRNO_EDOM) + test_single_errno (test_name, errno_value, EDOM, "EDOM"); + if (exceptions & ERRNO_ERANGE) + test_single_errno (test_name, errno_value, ERANGE, "ERANGE"); + } +} + +/* Returns the number of ulps that GIVEN is away from EXPECTED. */ +#define ULPDIFF(given, expected) \ + (FUNC(fabs) ((given) - (expected)) / ulp (expected)) + +/* Returns the size of an ulp for VALUE. */ +static FLOAT +ulp (FLOAT value) +{ + FLOAT ulp; + + switch (fpclassify (value)) + { + case FP_ZERO: + /* We compute the distance to the next FP which is the same as the + value of the smallest subnormal number. Previously we used + 2^-(MANT_DIG - 1) which is too large a value to be useful. Note that we + can't use ilogb(0), since that isn't a valid thing to do. As a point + of comparison Java's ulp returns the next normal value e.g. + 2^(1 - MAX_EXP) for ulp(0), but that is not what we want for + glibc. */ + /* Fall through... */ + case FP_SUBNORMAL: + /* The next closest subnormal value is a constant distance away. */ + ulp = FUNC(ldexp) (1.0, MIN_EXP - MANT_DIG); + break; + + case FP_NORMAL: + ulp = FUNC(ldexp) (1.0, FUNC(ilogb) (value) - MANT_DIG + 1); + break; + + default: + /* It should never happen. */ + abort (); + break; + } + return ulp; +} + +static void +check_float_internal (const char *test_name, FLOAT computed, FLOAT expected, + int exceptions, + FLOAT *curr_max_error, FLOAT max_ulp) +{ + int ok = 0; + int print_diff = 0; + FLOAT diff = 0; + FLOAT ulps = 0; + int errno_value = errno; + + test_exceptions (test_name, exceptions); + test_errno (test_name, errno_value, exceptions); + if (exceptions & IGNORE_RESULT) + goto out; + if (issignaling (computed) && issignaling (expected)) + { + if ((exceptions & TEST_NAN_SIGN) != 0 + && signbit (computed) != signbit (expected)) + { + ok = 0; + printf ("signaling NaN has wrong sign.\n"); + } + else if ((exceptions & TEST_NAN_PAYLOAD) != 0 + && (FUNC (getpayload) (&computed) + != FUNC (getpayload) (&expected))) + { + ok = 0; + printf ("signaling NaN has wrong payload.\n"); + } + else + ok = 1; + } + else if (issignaling (computed) || issignaling (expected)) + ok = 0; + else if (isnan (computed) && isnan (expected)) + { + if ((exceptions & TEST_NAN_SIGN) != 0 + && signbit (computed) != signbit (expected)) + { + ok = 0; + printf ("quiet NaN has wrong sign.\n"); + } + else if ((exceptions & TEST_NAN_PAYLOAD) != 0 + && (FUNC (getpayload) (&computed) + != FUNC (getpayload) (&expected))) + { + ok = 0; + printf ("quiet NaN has wrong payload.\n"); + } + else + ok = 1; + } + else if (isinf (computed) && isinf (expected)) + { + /* Test for sign of infinities. */ + if ((exceptions & IGNORE_ZERO_INF_SIGN) == 0 + && signbit (computed) != signbit (expected)) + { + ok = 0; + printf ("infinity has wrong sign.\n"); + } + else + ok = 1; + } + /* Don't calculate ULPs for infinities or any kind of NaNs. */ + else if (isinf (computed) || isnan (computed) + || isinf (expected) || isnan (expected)) + ok = 0; + else + { + diff = FUNC(fabs) (computed - expected); + ulps = ULPDIFF (computed, expected); + set_max_error (ulps, 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 (ulps <= max_ulp && !ignore_max_ulp) + ok = 1; + else + ok = 0; + } + if (print_screen (ok)) + { + if (!ok) + printf ("Failure: "); + printf ("Test: %s\n", test_name); + printf ("Result:\n"); + printf (" is: "); + print_float (computed); + printf (" should be: "); + print_float (expected); + if (print_diff) + { + char dstrn[FSTR_MAX], dstrx[FSTR_MAX]; + char ustrn[FSTR_MAX], mustrn[FSTR_MAX]; + fmt_ftostr (dstrn, FSTR_MAX, TYPE_DECIMAL_DIG - 1, "e", diff); + fmt_ftostr (dstrx, FSTR_MAX, TYPE_HEX_DIG - 1, "a", diff); + fmt_ftostr (ustrn, FSTR_MAX, 4, "f", ulps); + fmt_ftostr (mustrn, FSTR_MAX, 4, "f", max_ulp); + printf (" difference: %s %s\n", dstrn, dstrx); + printf (" ulp : %s\n", ustrn); + printf (" max.ulp : %s\n", mustrn); + } + } + update_stats (ok); + + out: + fpstack_test (test_name); + errno = 0; +} + + +void +check_float (const char *test_name, FLOAT computed, FLOAT expected, + int exceptions) +{ + check_float_internal (test_name, computed, expected, + exceptions, &max_error, prev_max_error); +} + + +void +check_complex (const char *test_name, __complex__ FLOAT computed, + __complex__ FLOAT expected, + int exception) +{ + FLOAT part_comp, part_exp; + char *str; + + if (asprintf (&str, "Real part of: %s", test_name) == -1) + abort (); + + part_comp = __real__ computed; + part_exp = __real__ expected; + + check_float_internal (str, part_comp, part_exp, + exception, &real_max_error, prev_real_max_error); + free (str); + + if (asprintf (&str, "Imaginary part of: %s", test_name) == -1) + abort (); + + part_comp = __imag__ computed; + part_exp = __imag__ expected; + + /* Don't check again for exceptions or errno, just pass through the + other relevant flags. */ + check_float_internal (str, part_comp, part_exp, + exception & (IGNORE_ZERO_INF_SIGN + | TEST_NAN_SIGN + | IGNORE_RESULT), + &imag_max_error, prev_imag_max_error); + free (str); +} + + +/* Check that computed and expected values are equal (int values). */ +void +check_int (const char *test_name, int computed, int expected, + int exceptions) +{ + int ok = 0; + int errno_value = errno; + + test_exceptions (test_name, exceptions); + test_errno (test_name, errno_value, exceptions); + if (exceptions & IGNORE_RESULT) + goto out; + noTests++; + if (computed == expected) + ok = 1; + + if (print_screen (ok)) + { + 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); + out: + fpstack_test (test_name); + errno = 0; +} + + +/* Check that computed and expected values are equal (long int values). */ +void +check_long (const char *test_name, long int computed, long int expected, + int exceptions) +{ + int ok = 0; + int errno_value = errno; + + test_exceptions (test_name, exceptions); + test_errno (test_name, errno_value, exceptions); + if (exceptions & IGNORE_RESULT) + goto out; + noTests++; + if (computed == expected) + ok = 1; + + if (print_screen (ok)) + { + 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); + out: + fpstack_test (test_name); + errno = 0; +} + + +/* Check that computed value is true/false. */ +void +check_bool (const char *test_name, int computed, int expected, + int exceptions) +{ + int ok = 0; + int errno_value = errno; + + test_exceptions (test_name, exceptions); + test_errno (test_name, errno_value, exceptions); + if (exceptions & IGNORE_RESULT) + goto out; + noTests++; + if ((computed == 0) == (expected == 0)) + ok = 1; + + if (print_screen (ok)) + { + 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); + out: + fpstack_test (test_name); + errno = 0; +} + + +/* check that computed and expected values are equal (long int values) */ +void +check_longlong (const char *test_name, long long int computed, + long long int expected, + int exceptions) +{ + int ok = 0; + int errno_value = errno; + + test_exceptions (test_name, exceptions); + test_errno (test_name, errno_value, exceptions); + if (exceptions & IGNORE_RESULT) + goto out; + noTests++; + if (computed == expected) + ok = 1; + + if (print_screen (ok)) + { + 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); + out: + fpstack_test (test_name); + errno = 0; +} + + +/* Check that computed and expected values are equal (intmax_t values). */ +void +check_intmax_t (const char *test_name, intmax_t computed, + intmax_t expected, int exceptions) +{ + int ok = 0; + int errno_value = errno; + + test_exceptions (test_name, exceptions); + test_errno (test_name, errno_value, exceptions); + if (exceptions & IGNORE_RESULT) + goto out; + noTests++; + if (computed == expected) + ok = 1; + + if (print_screen (ok)) + { + if (!ok) + printf ("Failure:"); + printf ("Test: %s\n", test_name); + printf ("Result:\n"); + printf (" is: %jd\n", computed); + printf (" should be: %jd\n", expected); + } + + update_stats (ok); + out: + fpstack_test (test_name); + errno = 0; +} + + +/* Check that computed and expected values are equal (uintmax_t values). */ +void +check_uintmax_t (const char *test_name, uintmax_t computed, + uintmax_t expected, int exceptions) +{ + int ok = 0; + int errno_value = errno; + + test_exceptions (test_name, exceptions); + test_errno (test_name, errno_value, exceptions); + if (exceptions & IGNORE_RESULT) + goto out; + noTests++; + if (computed == expected) + ok = 1; + + if (print_screen (ok)) + { + if (!ok) + printf ("Failure:"); + printf ("Test: %s\n", test_name); + printf ("Result:\n"); + printf (" is: %ju\n", computed); + printf (" should be: %ju\n", expected); + } + + update_stats (ok); + out: + fpstack_test (test_name); + errno = 0; +} + +/* Return whether a test with flags EXCEPTIONS should be run. */ +int +enable_test (int exceptions) +{ + if (exceptions & XFAIL_TEST) + return 0; + if (flag_test_inline && (exceptions & NO_TEST_INLINE)) + return 0; + if (flag_test_finite && (exceptions & NON_FINITE) != 0) + return 0; + if (!SNAN_TESTS (FLOAT) && (exceptions & TEST_SNAN) != 0) + return 0; + if (flag_test_mathvec && (exceptions & NO_TEST_MATHVEC) != 0) + return 0; + + return 1; +} + +/* This is to prevent messages from the SVID libm emulation. */ +int +matherr (struct exception *x __attribute__ ((unused))) +{ + return 1; +} + +static void +initialize (void) +{ + fpstack_test ("start *init*"); + + /* Clear all exceptions. From now on we must not get random exceptions. */ + feclearexcept (FE_ALL_EXCEPT); + errno = 0; + + /* 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"}, + { "output-dir", 'o', "DIR", 0, + "Directory where generated files will be placed"}, + { NULL, 0, NULL, 0, NULL } +}; + +/* 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 'o': + output_dir = (char *) malloc (strlen (arg) + 1); + if (output_dir != NULL) + strcpy (output_dir, arg); + else + return errno; + 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; +} + +/* Verify that our ulp () implementation is behaving as expected + or abort. */ +static void +check_ulp (void) +{ + FLOAT ulps, ulpx, value; + int i; + /* Check ulp of zero is a subnormal value... */ + ulps = ulp (0x0.0p0); + if (fpclassify (ulps) != FP_SUBNORMAL) + { + fprintf (stderr, "ulp (0x0.0p0) is not FP_SUBNORMAL!\n"); + exit (EXIT_FAILURE); + } + /* Check that the ulp of one is a normal value... */ + ulps = ulp (1.0L); + if (fpclassify (ulps) != FP_NORMAL) + { + fprintf (stderr, "ulp (1.0L) is not FP_NORMAL\n"); + exit (EXIT_FAILURE); + } + + /* Compute the next subnormal value using nextafter to validate ulp. + We allow +/- 1 ulp around the represented value. */ + value = FUNC(nextafter) (0, 1); + ulps = ULPDIFF (value, 0); + ulpx = ulp (1.0L); + if (ulps < (1.0L - ulpx) || ulps > (1.0L + ulpx)) + { + fprintf (stderr, "Value outside of 1 +/- 1ulp.\n"); + exit (EXIT_FAILURE); + } + /* Compute the nearest representable number from 10 towards 20. + The result is 10 + 1ulp. We use this to check the ulp function. + We allow +/- 1 ulp around the represented value. */ + value = FUNC(nextafter) (10, 20); + ulps = ULPDIFF (value, 10); + ulpx = ulp (1.0L); + if (ulps < (1.0L - ulpx) || ulps > (1.0L + ulpx)) + { + fprintf (stderr, "Value outside of 1 +/- 1ulp.\n"); + exit (EXIT_FAILURE); + } + /* This gives one more ulp. */ + value = FUNC(nextafter) (value, 20); + ulps = ULPDIFF (value, 10); + ulpx = ulp (2.0L); + if (ulps < (2.0L - ulpx) || ulps > (2.0L + ulpx)) + { + fprintf (stderr, "Value outside of 2 +/- 1ulp.\n"); + exit (EXIT_FAILURE); + } + /* And now calculate 100 ulp. */ + for (i = 2; i < 100; i++) + value = FUNC(nextafter) (value, 20); + ulps = ULPDIFF (value, 10); + ulpx = ulp (100.0L); + if (ulps < (100.0L - ulpx) || ulps > (100.0L + ulpx)) + { + fprintf (stderr, "Value outside of 100 +/- 1ulp.\n"); + exit (EXIT_FAILURE); + } +} + +/* Do all initialization for a test run with arguments given by ARGC + and ARGV. */ +void +libm_test_init (int argc, char **argv) +{ + int remaining; + char *ulps_file_path; + size_t dir_len = 0; + + verbose = 1; + output_ulps = 0; + output_max_error = 1; + output_points = 1; + output_dir = NULL; + /* 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) + { + if (output_dir != NULL) + dir_len = strlen (output_dir); + ulps_file_path = (char *) malloc (dir_len + strlen (ulps_file_name) + 1); + if (ulps_file_path == NULL) + { + perror ("can't allocate path for `ULPs' file: "); + exit (1); + } + sprintf (ulps_file_path, "%s%s", output_dir == NULL ? "" : output_dir, ulps_file_name); + ulps_file = fopen (ulps_file_path, "a"); + if (ulps_file == NULL) + { + perror ("can't open file `ULPs' for writing: "); + exit (1); + } + } + + + initialize (); + fputs (test_msg, stdout); + + INIT_ARCH_EXT; + + check_ulp (); +} + +/* Process the test results, returning the exit status. */ +int +libm_test_finish (void) +{ + if (output_ulps) + fclose (ulps_file); + + printf ("\nTest suite completed:\n"); + printf (" %d test cases plus %d tests for exception flags and\n" + " %d tests for errno executed.\n", + noTests, noExcTests, noErrnoTests); + if (noErrors) + { + printf (" %d errors occurred.\n", noErrors); + return 1; + } + printf (" All tests passed successfully.\n"); + + return 0; +} diff --git a/math/libm-test-support.h b/math/libm-test-support.h new file mode 100644 index 0000000000..5c9af04f1a --- /dev/null +++ b/math/libm-test-support.h @@ -0,0 +1,185 @@ +/* Support code for testing libm functions (common declarations). + Copyright (C) 1997-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 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 + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#ifndef LIBM_TEST_SUPPORT_H +#define LIBM_TEST_SUPPORT_H 1 + +#include <complex.h> +#include <math.h> +#include <float.h> +#include <fenv.h> +#include <limits.h> + +#include <stdlib.h> +#include <stdint.h> +#include <stdio.h> +#include <tininess.h> +#include <math-tests.h> +#include <math-tests-arch.h> +#include <nan-high-order-bit.h> + +extern const int flag_test_errno; +extern const int flag_test_exceptions; +extern const int flag_test_finite; +extern const int flag_test_inline; +extern const int flag_test_mathvec; +extern const char test_msg[]; +extern const char qtype_str[]; +extern const char doc[]; + +/* Possible exceptions */ +#define NO_EXCEPTION 0x0 +#define INVALID_EXCEPTION 0x1 +#define DIVIDE_BY_ZERO_EXCEPTION 0x2 +#define OVERFLOW_EXCEPTION 0x4 +#define UNDERFLOW_EXCEPTION 0x8 +#define INEXACT_EXCEPTION 0x10 +/* The next flags signals that those exceptions are allowed but not required. */ +#define INVALID_EXCEPTION_OK 0x20 +#define DIVIDE_BY_ZERO_EXCEPTION_OK 0x40 +#define OVERFLOW_EXCEPTION_OK 0x80 +#define UNDERFLOW_EXCEPTION_OK 0x100 +/* For "inexact" exceptions, the default is allowed but not required + unless INEXACT_EXCEPTION or NO_INEXACT_EXCEPTION is specified. */ +#define NO_INEXACT_EXCEPTION 0x200 +#define EXCEPTIONS_OK INVALID_EXCEPTION_OK+DIVIDE_BY_ZERO_EXCEPTION_OK +/* Some special test flags, passed together with exceptions. */ +#define IGNORE_ZERO_INF_SIGN 0x400 +#define TEST_NAN_SIGN 0x800 +#define TEST_NAN_PAYLOAD 0x1000 +#define NO_TEST_INLINE 0x2000 +#define XFAIL_TEST 0x4000 +/* Indicate errno settings required or disallowed. */ +#define ERRNO_UNCHANGED 0x8000 +#define ERRNO_EDOM 0x10000 +#define ERRNO_ERANGE 0x20000 +/* Flags generated by gen-libm-test.pl, not entered here manually. */ +#define IGNORE_RESULT 0x40000 +#define NON_FINITE 0x80000 +#define TEST_SNAN 0x100000 +#define NO_TEST_MATHVEC 0x200000 + +#define __CONCATX(a,b) __CONCAT(a,b) + +#define TYPE_MIN __CONCATX (PREFIX, _MIN) +#define TYPE_TRUE_MIN __CONCATX (PREFIX, _TRUE_MIN) +#define TYPE_MAX __CONCATX (PREFIX, _MAX) +#define MIN_EXP __CONCATX (PREFIX, _MIN_EXP) +#define MAX_EXP __CONCATX (PREFIX, _MAX_EXP) +#define MANT_DIG __CONCATX (PREFIX, _MANT_DIG) + +/* Format specific test macros. */ +#define TEST_COND_binary32 (MANT_DIG == 24 \ + && MIN_EXP == -125 \ + && MAX_EXP == 128) + +#define TEST_COND_binary64 (MANT_DIG == 53 \ + && MIN_EXP == -1021 \ + && MAX_EXP == 1024) + +#define TEST_COND_binary128 (MANT_DIG == 113 \ + && MIN_EXP == -16381 \ + && MAX_EXP == 16384) + +#define TEST_COND_ibm128 (MANT_DIG == 106) + +#define TEST_COND_intel96 (MANT_DIG == 64 \ + && MIN_EXP == -16381 \ + && MAX_EXP == 16384) + +#define TEST_COND_m68k96 (MANT_DIG == 64 \ + && MIN_EXP == -16382 \ + && MAX_EXP == 16384) + +/* The condition ibm128-libgcc is used instead of ibm128 to mark tests + where in principle the glibc code is OK but the tests fail because + of limitations of the libgcc support for that format (e.g. GCC bug + 59666, in non-default rounding modes). */ +#define TEST_COND_ibm128_libgcc TEST_COND_ibm128 + +/* Mark a test as expected to fail for ibm128-libgcc. This is used + via XFAIL_ROUNDING_IBM128_LIBGCC, which gen-libm-test.pl transforms + appropriately for each rounding mode. */ +#define XFAIL_IBM128_LIBGCC (TEST_COND_ibm128_libgcc ? XFAIL_TEST : 0) + +/* Number of bits in NaN payload. */ +#if TEST_COND_ibm128 +# define PAYLOAD_DIG (DBL_MANT_DIG - 2) +#else +# define PAYLOAD_DIG (MANT_DIG - 2) +#endif + +/* Values underflowing only for float. */ +#if TEST_COND_binary32 +# define UNDERFLOW_EXCEPTION_FLOAT UNDERFLOW_EXCEPTION +# define UNDERFLOW_EXCEPTION_OK_FLOAT UNDERFLOW_EXCEPTION_OK +#else +# define UNDERFLOW_EXCEPTION_FLOAT 0 +# define UNDERFLOW_EXCEPTION_OK_FLOAT 0 +#endif + +/* Values underflowing only for double or types with a larger least + positive normal value. */ +#if TEST_COND_binary32 || TEST_COND_binary64 || TEST_COND_ibm128 +# define UNDERFLOW_EXCEPTION_DOUBLE UNDERFLOW_EXCEPTION +# define UNDERFLOW_EXCEPTION_OK_DOUBLE UNDERFLOW_EXCEPTION_OK +#else +# define UNDERFLOW_EXCEPTION_DOUBLE 0 +# define UNDERFLOW_EXCEPTION_OK_DOUBLE 0 +#endif + +/* Values underflowing only for IBM long double or types with a larger least + positive normal value. */ +#if TEST_COND_binary32 || TEST_COND_ibm128 +# define UNDERFLOW_EXCEPTION_LDOUBLE_IBM UNDERFLOW_EXCEPTION +#else +# define UNDERFLOW_EXCEPTION_LDOUBLE_IBM 0 +#endif + +/* Values underflowing on architectures detecting tininess before + rounding, but not on those detecting tininess after rounding. */ +#define UNDERFLOW_EXCEPTION_BEFORE_ROUNDING (TININESS_AFTER_ROUNDING \ + ? 0 \ + : UNDERFLOW_EXCEPTION) + +#if LONG_MAX == 0x7fffffff +# define TEST_COND_long32 1 +# define TEST_COND_long64 0 +#else +# define TEST_COND_long32 0 +# define TEST_COND_long64 1 +#endif +#define TEST_COND_before_rounding (!TININESS_AFTER_ROUNDING) +#define TEST_COND_after_rounding TININESS_AFTER_ROUNDING + +int enable_test (int); +void init_max_error (const char *, int); +void print_max_error (const char *); +void print_complex_max_error (const char *); +void check_float (const char *, FLOAT, FLOAT, int); +void check_complex (const char *, __complex__ FLOAT, __complex__ FLOAT, int); +void check_int (const char *, int, int, int); +void check_long (const char *, long int, long int, int); +void check_bool (const char *, int, int, int); +void check_longlong (const char *, long long int, long long int, int); +void check_intmax_t (const char *, intmax_t, intmax_t, int); +void check_uintmax_t (const char *, uintmax_t, uintmax_t, int); +void libm_test_init (int, char **); +int libm_test_finish (void); + +#endif /* LIBM_TEST_SUPPORT_H. */ |