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+/* 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 (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;
+}