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1207 lines
32 KiB
C
1207 lines
32 KiB
C
/* Support code for testing libm functions (compiled once per type).
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Copyright (C) 1997-2023 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<https://www.gnu.org/licenses/>. */
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/* Part of testsuite for libm.
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libm-test-support.c contains functions shared by tests of different
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libm functions and types; it is compiled once per type.
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libm-test-driver.c defines the main function, and various variables
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that are used to configure the code in libm-test-support.c for
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different types and for variants such as testing inline functions.
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The tests of individual functions are in .inc files processed by
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gen-libm-test.py, with the resulting files included together with
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libm-test-driver.c.
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The per-type headers included both before libm-test-support.c and
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for the tests of individual functions must define the following
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macros:
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FUNC(function): Convert general function name (like cos) to name
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with correct suffix (e.g. cosl or cosf).
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FLOAT: Floating-point type to test.
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BUILD_COMPLEX(real, imag): Create a complex number by calling a
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macro such as CMPLX.
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PREFIX: The prefix for <float.h> macros for the type (e.g. LDBL,
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DBL, or FLT).
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TYPE_STR: The name of the type as used in ulps files, as a string.
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ULP_IDX: The array indexes for ulps values for this function.
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LIT: Append the correct suffix to a literal.
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LITM: Append the correct suffix to an M_* macro name.
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FTOSTR: A function similar in type to strfromf which converts a
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FLOAT to a string.
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snan_value_MACRO: The macro such as SNAN for a signaling NaN for
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the type.
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*/
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/* Parameter handling is primitive in the moment:
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--verbose=[0..3] for different levels of output:
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0: only error count
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1: basic report on failed tests (default)
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2: full report on all tests
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-v for full output (equals --verbose=3)
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-u for generation of an ULPs file
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*/
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/* "Philosophy":
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This suite tests some aspects of the correct implementation of
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mathematical functions in libm. Some simple, specific parameters
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are tested for correctness but there's no exhaustive
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testing. Handling of specific inputs (e.g. infinity, not-a-number)
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is also tested. Correct handling of exceptions is checked
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against. These implemented tests should check all cases that are
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specified in ISO C99.
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NaN values: The payload of NaNs is set in inputs for functions
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where it is significant, and is examined in the outputs of some
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functions.
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Inline functions: Inlining functions should give an improvement in
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speed - but not in precision. The inlined functions return
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reasonable values for a reasonable range of input values. The
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result is not necessarily correct for all values and exceptions are
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not correctly raised in all cases. Problematic input and return
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values are infinity, not-a-number and minus zero. This suite
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therefore does not check these specific inputs and the exception
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handling for inlined mathematical functions - just the "reasonable"
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values are checked.
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Beware: The tests might fail for any of the following reasons:
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- Tests are wrong
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- Functions are wrong
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- Floating Point Unit not working properly
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- Compiler has errors
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With e.g. gcc 2.7.2.2 the test for cexp fails because of a compiler error.
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To Do: All parameter should be numbers that can be represented as
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exact floating point values. Currently some values cannot be
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represented exactly and therefore the result is not the expected
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result. For this we will use 36 digits so that numbers can be
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represented exactly. */
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#include "libm-test-support.h"
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#include <argp.h>
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#include <errno.h>
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#include <string.h>
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/* This header defines func_ulps, func_real_ulps and func_imag_ulps
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arrays. */
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#include "libm-test-ulps.h"
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/* Maximum character buffer to store a stringitized FLOAT value. */
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#define FSTR_MAX (128)
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#define ulps_file_name "ULPs" /* Name of the ULPs file. */
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static FILE *ulps_file; /* File to document difference. */
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static int output_ulps; /* Should ulps printed? */
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static char *output_dir; /* Directory where generated files will be written. */
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static int noErrors; /* number of errors */
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static int noTests; /* number of tests (without testing exceptions) */
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static int noExcTests; /* number of tests for exception flags */
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static int noErrnoTests;/* number of tests for errno values */
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static int verbose;
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static int output_max_error; /* Should the maximal errors printed? */
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static int output_points; /* Should the single function results printed? */
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static int ignore_max_ulp; /* Should we ignore max_ulp? */
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static int test_ibm128; /* Is argument or result IBM long double? */
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static FLOAT max_error, real_max_error, imag_max_error;
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static FLOAT prev_max_error, prev_real_max_error, prev_imag_max_error;
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static FLOAT max_valid_error;
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/* Sufficient numbers of digits to represent any floating-point value
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unambiguously (for any choice of the number of bits in the first
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hex digit, in the case of TYPE_HEX_DIG). When used with printf
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formats where the precision counts only digits after the point, 1
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is subtracted from these values. */
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#define TYPE_DECIMAL_DIG __CONCATX (PREFIX, _DECIMAL_DIG)
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#define TYPE_HEX_DIG ((MANT_DIG + 6) / 4)
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/* Converts VALUE (a floating-point number) to string and writes it to DEST.
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PRECISION specifies the number of fractional digits that should be printed.
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CONVERSION is the conversion specifier, such as in printf, e.g. 'f' or 'a'.
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The output is prepended with an empty space if VALUE is non-negative. */
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static void
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fmt_ftostr (char *dest, size_t size, int precision, const char *conversion,
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FLOAT value)
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{
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char format[64];
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char *ptr_format;
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int ret;
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/* Generate the format string. */
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ptr_format = stpcpy (format, "%.");
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ret = sprintf (ptr_format, "%d", precision);
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ptr_format += ret;
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ptr_format = stpcpy (ptr_format, conversion);
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/* Add a space to the beginning of the output string, if the floating-point
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number is non-negative. This mimics the behavior of the space (' ') flag
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in snprintf, which is not available on strfrom. */
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if (! signbit (value))
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{
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*dest = ' ';
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dest++;
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size--;
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}
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/* Call the float to string conversion function, e.g.: strfromd. */
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FTOSTR (dest, size, format, value);
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}
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/* Compare KEY (a string, with the name of a function) with ULP (a
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pointer to a struct ulp_data structure), returning a value less
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than, equal to or greater than zero for use in bsearch. */
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static int
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compare_ulp_data (const void *key, const void *ulp)
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{
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const char *keystr = key;
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const struct ulp_data *ulpdat = ulp;
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return strcmp (keystr, ulpdat->name);
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}
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static const int ulp_idx = ULP_IDX;
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/* Return the ulps for NAME in array DATA with NMEMB elements, or 0 if
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no ulps listed. */
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static FLOAT
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find_ulps (const char *name, const struct ulp_data *data, size_t nmemb)
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{
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const struct ulp_data *entry = bsearch (name, data, nmemb, sizeof (*data),
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compare_ulp_data);
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if (entry == NULL)
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return 0;
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else
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return entry->max_ulp[ulp_idx];
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}
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void
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init_max_error (const char *name, int exact, int testing_ibm128)
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{
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max_error = 0;
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real_max_error = 0;
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imag_max_error = 0;
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test_ibm128 = testing_ibm128;
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prev_max_error = find_ulps (name, func_ulps,
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sizeof (func_ulps) / sizeof (func_ulps[0]));
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prev_real_max_error = find_ulps (name, func_real_ulps,
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(sizeof (func_real_ulps)
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/ sizeof (func_real_ulps[0])));
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prev_imag_max_error = find_ulps (name, func_imag_ulps,
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(sizeof (func_imag_ulps)
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/ sizeof (func_imag_ulps[0])));
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if (testing_ibm128)
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/* The documented accuracy of IBM long double division is 3ulp
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(see libgcc/config/rs6000/ibm-ldouble-format), so do not
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require better accuracy for libm functions that are exactly
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defined for other formats. */
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max_valid_error = exact ? 3 : 16;
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else
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max_valid_error = exact ? 0 : 9;
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prev_max_error = (prev_max_error <= max_valid_error
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? prev_max_error
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: max_valid_error);
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prev_real_max_error = (prev_real_max_error <= max_valid_error
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? prev_real_max_error
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: max_valid_error);
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prev_imag_max_error = (prev_imag_max_error <= max_valid_error
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? prev_imag_max_error
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: max_valid_error);
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feclearexcept (FE_ALL_EXCEPT);
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errno = 0;
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}
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static void
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set_max_error (FLOAT current, FLOAT *curr_max_error)
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{
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if (current > *curr_max_error && current <= max_valid_error)
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*curr_max_error = current;
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}
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/* Print a FLOAT. */
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static void
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print_float (FLOAT f)
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{
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/* As printf doesn't differ between a sNaN and a qNaN, do this manually. */
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if (issignaling (f))
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printf ("sNaN\n");
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else if (isnan (f))
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printf ("qNaN\n");
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else
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{
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char fstrn[FSTR_MAX], fstrx[FSTR_MAX];
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fmt_ftostr (fstrn, FSTR_MAX, TYPE_DECIMAL_DIG - 1, "e", f);
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fmt_ftostr (fstrx, FSTR_MAX, TYPE_HEX_DIG - 1, "a", f);
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printf ("%s %s\n", fstrn, fstrx);
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}
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}
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/* Should the message print to screen? This depends on the verbose flag,
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and the test status. */
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static int
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print_screen (int ok)
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{
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if (output_points
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&& (verbose > 1
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|| (verbose == 1 && ok == 0)))
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return 1;
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return 0;
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}
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/* Should the message print to screen? This depends on the verbose flag,
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and the test status. */
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static int
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print_screen_max_error (int ok)
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{
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if (output_max_error
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&& (verbose > 1
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|| ((verbose == 1) && (ok == 0))))
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return 1;
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return 0;
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}
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/* Update statistic counters. */
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static void
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update_stats (int ok)
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{
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++noTests;
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if (!ok)
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++noErrors;
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}
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static void
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print_function_ulps (const char *function_name, FLOAT ulp)
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{
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if (output_ulps)
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{
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char ustrn[FSTR_MAX];
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FTOSTR (ustrn, FSTR_MAX, "%.0f", FUNC (ceil) (ulp));
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fprintf (ulps_file, "Function: \"%s\":\n", function_name);
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fprintf (ulps_file, "%s: %s\n", qtype_str, ustrn);
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}
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}
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static void
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print_complex_function_ulps (const char *function_name, FLOAT real_ulp,
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FLOAT imag_ulp)
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{
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if (output_ulps)
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{
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char fstrn[FSTR_MAX];
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if (real_ulp != 0.0)
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{
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FTOSTR (fstrn, FSTR_MAX, "%.0f", FUNC (ceil) (real_ulp));
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fprintf (ulps_file, "Function: Real part of \"%s\":\n", function_name);
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fprintf (ulps_file, "%s: %s\n", qtype_str, fstrn);
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}
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if (imag_ulp != 0.0)
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{
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FTOSTR (fstrn, FSTR_MAX, "%.0f", FUNC (ceil) (imag_ulp));
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fprintf (ulps_file, "Function: Imaginary part of \"%s\":\n", function_name);
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fprintf (ulps_file, "%s: %s\n", qtype_str, fstrn);
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}
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}
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}
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/* Test if Floating-Point stack hasn't changed */
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static void
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fpstack_test (const char *test_name)
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{
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#if defined (__i386__) || defined (__x86_64__)
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static int old_stack;
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int sw;
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asm ("fnstsw" : "=a" (sw));
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sw >>= 11;
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sw &= 7;
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if (sw != old_stack)
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{
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printf ("FP-Stack wrong after test %s (%d, should be %d)\n",
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test_name, sw, old_stack);
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++noErrors;
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old_stack = sw;
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}
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#endif
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}
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void
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print_max_error (const char *func_name)
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{
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int ok = 0;
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if (max_error == 0.0 || (max_error <= prev_max_error && !ignore_max_ulp))
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{
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ok = 1;
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}
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if (!ok)
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print_function_ulps (func_name, max_error);
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if (print_screen_max_error (ok))
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{
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char mestr[FSTR_MAX], pmestr[FSTR_MAX];
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FTOSTR (mestr, FSTR_MAX, "%.0f", FUNC (ceil) (max_error));
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FTOSTR (pmestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_max_error));
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printf ("Maximal error of `%s'\n", func_name);
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printf (" is : %s ulp\n", mestr);
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printf (" accepted: %s ulp\n", pmestr);
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}
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update_stats (ok);
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}
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void
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print_complex_max_error (const char *func_name)
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{
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int real_ok = 0, imag_ok = 0, ok;
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if (real_max_error == 0
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|| (real_max_error <= prev_real_max_error && !ignore_max_ulp))
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{
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real_ok = 1;
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}
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if (imag_max_error == 0
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|| (imag_max_error <= prev_imag_max_error && !ignore_max_ulp))
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{
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imag_ok = 1;
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}
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ok = real_ok && imag_ok;
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if (!ok)
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print_complex_function_ulps (func_name,
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real_ok ? 0 : real_max_error,
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imag_ok ? 0 : imag_max_error);
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if (print_screen_max_error (ok))
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{
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char rmestr[FSTR_MAX], prmestr[FSTR_MAX];
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char imestr[FSTR_MAX], pimestr[FSTR_MAX];
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FTOSTR (rmestr, FSTR_MAX, "%.0f", FUNC (ceil) (real_max_error));
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FTOSTR (prmestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_real_max_error));
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FTOSTR (imestr, FSTR_MAX, "%.0f", FUNC (ceil) (imag_max_error));
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FTOSTR (pimestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_imag_max_error));
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printf ("Maximal error of real part of: %s\n", func_name);
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printf (" is : %s ulp\n", rmestr);
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printf (" accepted: %s ulp\n", prmestr);
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printf ("Maximal error of imaginary part of: %s\n", func_name);
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printf (" is : %s ulp\n", imestr);
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printf (" accepted: %s ulp\n", pimestr);
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}
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update_stats (ok);
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}
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#if FE_ALL_EXCEPT
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/* Test whether a given exception was raised. */
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static void
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test_single_exception (const char *test_name,
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int exception,
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int exc_flag,
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int fe_flag,
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const char *flag_name)
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|
{
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int ok = 1;
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if (exception & exc_flag)
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{
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if (fetestexcept (fe_flag))
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{
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if (print_screen (1))
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printf ("Pass: %s: Exception \"%s\" set\n", test_name, flag_name);
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}
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else
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{
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ok = 0;
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if (print_screen (0))
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printf ("Failure: %s: Exception \"%s\" not set\n",
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test_name, flag_name);
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}
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}
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else
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{
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if (fetestexcept (fe_flag))
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{
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ok = 0;
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if (print_screen (0))
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printf ("Failure: %s: Exception \"%s\" set\n",
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test_name, flag_name);
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}
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else
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{
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if (print_screen (1))
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printf ("%s: Exception \"%s\" not set\n", test_name,
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flag_name);
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}
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}
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if (!ok)
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++noErrors;
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}
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#endif
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|
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/* Test whether exceptions given by EXCEPTION are raised. Ignore thereby
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allowed but not required exceptions.
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*/
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static void
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test_exceptions (const char *test_name, int exception)
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{
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if (flag_test_exceptions && EXCEPTION_TESTS (FLOAT))
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{
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++noExcTests;
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#ifdef FE_DIVBYZERO
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if ((exception & DIVIDE_BY_ZERO_EXCEPTION_OK) == 0)
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test_single_exception (test_name, exception,
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DIVIDE_BY_ZERO_EXCEPTION, FE_DIVBYZERO,
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"Divide by zero");
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#endif
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#ifdef FE_INVALID
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if ((exception & INVALID_EXCEPTION_OK) == 0)
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test_single_exception (test_name, exception,
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INVALID_EXCEPTION, FE_INVALID,
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"Invalid operation");
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#endif
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#ifdef FE_OVERFLOW
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|
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;
|
|
}
|