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Diffstat (limited to 'math/libm-test-support.c')
-rw-r--r-- | math/libm-test-support.c | 1209 |
1 files changed, 1209 insertions, 0 deletions
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; +} |