/* Support code for testing libm functions (compiled once per type). Copyright (C) 1997-2023 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 . */ /* 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.py, 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 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. ULP_IDX: The array indexes for ulps values for this function. 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 #include #include /* 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 int test_ibm128; /* Is argument or result IBM long double? */ 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_idx = ULP_IDX; /* 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]; } void init_max_error (const char *name, int exact, int testing_ibm128) { max_error = 0; real_max_error = 0; imag_max_error = 0; test_ibm128 = testing_ibm128; 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 (testing_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; 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_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_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); feclearexcept (FE_ALL_EXCEPT); 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, CFLOAT computed, CFLOAT 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); feclearexcept (FE_ALL_EXCEPT); 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); feclearexcept (FE_ALL_EXCEPT); 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); feclearexcept (FE_ALL_EXCEPT); 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); feclearexcept (FE_ALL_EXCEPT); 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); feclearexcept (FE_ALL_EXCEPT); 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); feclearexcept (FE_ALL_EXCEPT); errno = 0; } /* Return whether a test with flags EXCEPTIONS should be run. */ int enable_test (int exceptions) { if (exceptions & XFAIL_TEST) return 0; if ((!SNAN_TESTS (FLOAT) || !snan_tests_arg) && (exceptions & TEST_SNAN) != 0) return 0; if (flag_test_mathvec && (exceptions & NO_TEST_MATHVEC) != 0) return 0; 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 (LIT(1.0)); 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 (LIT(1.0)); if (ulps < (LIT(1.0) - ulpx) || ulps > (LIT(1.0) + 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 (LIT(1.0)); if (ulps < (LIT(1.0) - ulpx) || ulps > (LIT(1.0) + 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 (LIT(2.0)); if (ulps < (LIT(2.0) - ulpx) || ulps > (LIT(2.0) + 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 (LIT(100.0)); if (ulps < (LIT(100.0) - ulpx) || ulps > (LIT(100.0) + 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); 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; }