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-rw-r--r--math/libm-test-driver.c2286
-rw-r--r--math/libm-test.inc2267
2 files changed, 2290 insertions, 2263 deletions
diff --git a/math/libm-test-driver.c b/math/libm-test-driver.c
new file mode 100644
index 0000000000..1227d52d06
--- /dev/null
+++ b/math/libm-test-driver.c
@@ -0,0 +1,2286 @@
+/* Support code for testing libm functions.
+ 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.inc is processed by a perl script. The resulting file has to
+ be included by a master file that defines:
+
+ Macros:
+ FUNC(function): converts general function name (like cos) to
+ name with correct suffix (e.g. cosl or cosf)
+ FLOAT: floating point type to test
+ - TEST_MSG: informal message to be displayed
+ chooses one of the parameters as delta for testing
+ equality
+ PREFIX A macro which defines the prefix for common macros for the
+ type (i.e LDBL, DBL, or FLT).
+ LIT A function which appends the correct suffix to a literal.
+ TYPE_STR A macro which defines a stringitized name of the type.
+ FTOSTR This macro defines a function similar in type to strfromf
+ which converts a FLOAT to a string. */
+
+/* Parameter handling is primitive in the moment:
+ --verbose=[0..3] for different levels of output:
+ 0: only error count
+ 1: basic report on failed tests (default)
+ 2: full report on all tests
+ -v for full output (equals --verbose=3)
+ -u for generation of an ULPs file
+ */
+
+/* "Philosophy":
+
+ This suite tests some aspects of the correct implementation of
+ mathematical functions in libm. Some simple, specific parameters
+ are tested for correctness but there's no exhaustive
+ testing. Handling of specific inputs (e.g. infinity, not-a-number)
+ is also tested. Correct handling of exceptions is checked
+ against. These implemented tests should check all cases that are
+ specified in ISO C99.
+
+ NaN values: The payload of NaNs is set in inputs for functions
+ where it is significant, and is examined in the outputs of some
+ functions.
+
+ Inline functions: Inlining functions should give an improvement in
+ speed - but not in precission. The inlined functions return
+ reasonable values for a reasonable range of input values. The
+ result is not necessarily correct for all values and exceptions are
+ not correctly raised in all cases. Problematic input and return
+ values are infinity, not-a-number and minus zero. This suite
+ therefore does not check these specific inputs and the exception
+ handling for inlined mathematical functions - just the "reasonable"
+ values are checked.
+
+ Beware: The tests might fail for any of the following reasons:
+ - Tests are wrong
+ - Functions are wrong
+ - Floating Point Unit not working properly
+ - Compiler has errors
+
+ With e.g. gcc 2.7.2.2 the test for cexp fails because of a compiler error.
+
+
+ To Do: All parameter should be numbers that can be represented as
+ exact floating point values. Currently some values cannot be
+ represented exactly and therefore the result is not the expected
+ result. For this we will use 36 digits so that numbers can be
+ represented exactly. */
+
+#ifndef _GNU_SOURCE
+# define _GNU_SOURCE
+#endif
+
+#include <complex.h>
+#include <math.h>
+#include <float.h>
+#include <fenv.h>
+#include <limits.h>
+
+#include <errno.h>
+#include <stdlib.h>
+#include <stdint.h>
+#include <stdio.h>
+#include <string.h>
+#include <argp.h>
+#include <tininess.h>
+#include <math-tests.h>
+#include <math-tests-arch.h>
+#include <nan-high-order-bit.h>
+
+/* This header defines func_ulps, func_real_ulps and func_imag_ulps
+ arrays. */
+#include "libm-test-ulps.h"
+
+/* Allow platforms without all rounding modes to test properly,
+ assuming they provide an __FE_UNDEFINED in <bits/fenv.h> which
+ causes fesetround() to return failure. */
+#ifndef FE_TONEAREST
+# define FE_TONEAREST __FE_UNDEFINED
+#endif
+#ifndef FE_TOWARDZERO
+# define FE_TOWARDZERO __FE_UNDEFINED
+#endif
+#ifndef FE_UPWARD
+# define FE_UPWARD __FE_UNDEFINED
+#endif
+#ifndef FE_DOWNWARD
+# define FE_DOWNWARD __FE_UNDEFINED
+#endif
+
+/* Possible exceptions */
+#define NO_EXCEPTION 0x0
+#define INVALID_EXCEPTION 0x1
+#define DIVIDE_BY_ZERO_EXCEPTION 0x2
+#define OVERFLOW_EXCEPTION 0x4
+#define UNDERFLOW_EXCEPTION 0x8
+#define INEXACT_EXCEPTION 0x10
+/* The next flags signals that those exceptions are allowed but not required. */
+#define INVALID_EXCEPTION_OK 0x20
+#define DIVIDE_BY_ZERO_EXCEPTION_OK 0x40
+#define OVERFLOW_EXCEPTION_OK 0x80
+#define UNDERFLOW_EXCEPTION_OK 0x100
+/* For "inexact" exceptions, the default is allowed but not required
+ unless INEXACT_EXCEPTION or NO_INEXACT_EXCEPTION is specified. */
+#define NO_INEXACT_EXCEPTION 0x200
+#define EXCEPTIONS_OK INVALID_EXCEPTION_OK+DIVIDE_BY_ZERO_EXCEPTION_OK
+/* Some special test flags, passed together with exceptions. */
+#define IGNORE_ZERO_INF_SIGN 0x400
+#define TEST_NAN_SIGN 0x800
+#define TEST_NAN_PAYLOAD 0x1000
+#define NO_TEST_INLINE 0x2000
+#define XFAIL_TEST 0x4000
+/* Indicate errno settings required or disallowed. */
+#define ERRNO_UNCHANGED 0x8000
+#define ERRNO_EDOM 0x10000
+#define ERRNO_ERANGE 0x20000
+/* Flags generated by gen-libm-test.pl, not entered here manually. */
+#define IGNORE_RESULT 0x40000
+#define NON_FINITE 0x80000
+#define TEST_SNAN 0x100000
+#define NO_TEST_MATHVEC 0x200000
+
+#define TEST_NAN_PAYLOAD_CANONICALIZE (SNAN_TESTS_PRESERVE_PAYLOAD \
+ ? TEST_NAN_PAYLOAD \
+ : 0)
+
+#define __CONCATX(a,b) __CONCAT(a,b)
+
+#define TYPE_MIN __CONCATX (PREFIX, _MIN)
+#define TYPE_TRUE_MIN __CONCATX (PREFIX, _TRUE_MIN)
+#define TYPE_MAX __CONCATX (PREFIX, _MAX)
+#define MIN_EXP __CONCATX (PREFIX, _MIN_EXP)
+#define MAX_EXP __CONCATX (PREFIX, _MAX_EXP)
+#define MANT_DIG __CONCATX (PREFIX, _MANT_DIG)
+
+/* Maximum character buffer to store a stringitized FLOAT value. */
+#define FSTR_MAX (128)
+
+#if TEST_INLINE
+# define ULP_IDX __CONCATX (ULP_I_, PREFIX)
+# define QTYPE_STR "i" TYPE_STR
+#else
+# define ULP_IDX __CONCATX (ULP_, PREFIX)
+# define QTYPE_STR TYPE_STR
+#endif
+
+/* Format specific test macros. */
+#define TEST_COND_binary32 (MANT_DIG == 24 \
+ && MIN_EXP == -125 \
+ && MAX_EXP == 128)
+
+#define TEST_COND_binary64 (MANT_DIG == 53 \
+ && MIN_EXP == -1021 \
+ && MAX_EXP == 1024)
+
+#define TEST_COND_binary128 (MANT_DIG == 113 \
+ && MIN_EXP == -16381 \
+ && MAX_EXP == 16384)
+
+#define TEST_COND_ibm128 (MANT_DIG == 106)
+
+#define TEST_COND_intel96 (MANT_DIG == 64 \
+ && MIN_EXP == -16381 \
+ && MAX_EXP == 16384)
+
+#define TEST_COND_m68k96 (MANT_DIG == 64 \
+ && MIN_EXP == -16382 \
+ && MAX_EXP == 16384)
+
+/* The condition ibm128-libgcc is used instead of ibm128 to mark tests
+ where in principle the glibc code is OK but the tests fail because
+ of limitations of the libgcc support for that format (e.g. GCC bug
+ 59666, in non-default rounding modes). */
+#define TEST_COND_ibm128_libgcc TEST_COND_ibm128
+
+/* Mark a test as expected to fail for ibm128-libgcc. This is used
+ via XFAIL_ROUNDING_IBM128_LIBGCC, which gen-libm-test.pl transforms
+ appropriately for each rounding mode. */
+#define XFAIL_IBM128_LIBGCC (TEST_COND_ibm128_libgcc ? XFAIL_TEST : 0)
+
+/* Number of bits in NaN payload. */
+#if TEST_COND_ibm128
+# define PAYLOAD_DIG (DBL_MANT_DIG - 2)
+#else
+# define PAYLOAD_DIG (MANT_DIG - 2)
+#endif
+
+/* Values underflowing only for float. */
+#if TEST_COND_binary32
+# define UNDERFLOW_EXCEPTION_FLOAT UNDERFLOW_EXCEPTION
+# define UNDERFLOW_EXCEPTION_OK_FLOAT UNDERFLOW_EXCEPTION_OK
+#else
+# define UNDERFLOW_EXCEPTION_FLOAT 0
+# define UNDERFLOW_EXCEPTION_OK_FLOAT 0
+#endif
+
+/* Values underflowing only for double or types with a larger least
+ positive normal value. */
+#if TEST_COND_binary32 || TEST_COND_binary64 || TEST_COND_ibm128
+# define UNDERFLOW_EXCEPTION_DOUBLE UNDERFLOW_EXCEPTION
+# define UNDERFLOW_EXCEPTION_OK_DOUBLE UNDERFLOW_EXCEPTION_OK
+#else
+# define UNDERFLOW_EXCEPTION_DOUBLE 0
+# define UNDERFLOW_EXCEPTION_OK_DOUBLE 0
+#endif
+
+/* Values underflowing only for IBM long double or types with a larger least
+ positive normal value. */
+#if TEST_COND_binary32 || TEST_COND_ibm128
+# define UNDERFLOW_EXCEPTION_LDOUBLE_IBM UNDERFLOW_EXCEPTION
+#else
+# define UNDERFLOW_EXCEPTION_LDOUBLE_IBM 0
+#endif
+
+/* Values underflowing on architectures detecting tininess before
+ rounding, but not on those detecting tininess after rounding. */
+#define UNDERFLOW_EXCEPTION_BEFORE_ROUNDING (TININESS_AFTER_ROUNDING \
+ ? 0 \
+ : UNDERFLOW_EXCEPTION)
+
+#if LONG_MAX == 0x7fffffff
+# define TEST_COND_long32 1
+# define TEST_COND_long64 0
+#else
+# define TEST_COND_long32 0
+# define TEST_COND_long64 1
+#endif
+#define TEST_COND_before_rounding (!TININESS_AFTER_ROUNDING)
+#define TEST_COND_after_rounding TININESS_AFTER_ROUNDING
+
+/* Various constants derived from pi. We must supply them precalculated for
+ accuracy. They are written as a series of postfix operations to keep
+ them concise yet somewhat readable. */
+
+/* (pi * 3) / 4 */
+#define lit_pi_3_m_4_d LIT (2.356194490192344928846982537459627163)
+/* pi * 3 / (4 * ln(10)) */
+#define lit_pi_3_m_4_ln10_m_d LIT (1.023282265381381010614337719073516828)
+/* pi / (2 * ln(10)) */
+#define lit_pi_2_ln10_m_d LIT (0.682188176920920673742891812715677885)
+/* pi / (4 * ln(10)) */
+#define lit_pi_4_ln10_m_d LIT (0.341094088460460336871445906357838943)
+/* pi / ln(10) */
+#define lit_pi_ln10_d LIT (1.364376353841841347485783625431355770)
+/* pi / 2 */
+#define lit_pi_2_d LITM (M_PI_2)
+/* pi / 4 */
+#define lit_pi_4_d LITM (M_PI_4)
+/* pi */
+#define lit_pi LITM (M_PI)
+
+/* Other useful constants. */
+
+/* e */
+#define lit_e LITM (M_E)
+
+#define ulps_file_name "ULPs" /* Name of the ULPs file. */
+static FILE *ulps_file; /* File to document difference. */
+static int output_ulps; /* Should ulps printed? */
+static char *output_dir; /* Directory where generated files will be written. */
+
+static int noErrors; /* number of errors */
+static int noTests; /* number of tests (without testing exceptions) */
+static int noExcTests; /* number of tests for exception flags */
+static int noErrnoTests;/* number of tests for errno values */
+
+static int verbose;
+static int output_max_error; /* Should the maximal errors printed? */
+static int output_points; /* Should the single function results printed? */
+static int ignore_max_ulp; /* Should we ignore max_ulp? */
+
+#define plus_zero LIT (0.0)
+#define minus_zero LIT (-0.0)
+#define plus_infty FUNC (__builtin_inf) ()
+#define minus_infty -(FUNC (__builtin_inf) ())
+#define qnan_value_pl(S) FUNC (__builtin_nan) (S)
+#define qnan_value qnan_value_pl ("")
+#define snan_value_pl(S) FUNC (__builtin_nans) (S)
+#define snan_value snan_value_pl ("")
+#define max_value TYPE_MAX
+#define min_value TYPE_MIN
+#define min_subnorm_value TYPE_TRUE_MIN
+
+/* For nexttoward tests. */
+#define snan_value_ld __builtin_nansl ("")
+
+static FLOAT max_error, real_max_error, imag_max_error;
+
+static FLOAT prev_max_error, prev_real_max_error, prev_imag_max_error;
+
+static FLOAT max_valid_error;
+
+/* Sufficient numbers of digits to represent any floating-point value
+ unambiguously (for any choice of the number of bits in the first
+ hex digit, in the case of TYPE_HEX_DIG). When used with printf
+ formats where the precision counts only digits after the point, 1
+ is subtracted from these values. */
+#define TYPE_DECIMAL_DIG __CONCATX (PREFIX, _DECIMAL_DIG)
+#define TYPE_HEX_DIG ((MANT_DIG + 6) / 4)
+
+/* Converts VALUE (a floating-point number) to string and writes it to DEST.
+ PRECISION specifies the number of fractional digits that should be printed.
+ CONVERSION is the conversion specifier, such as in printf, e.g. 'f' or 'a'.
+ The output is prepended with an empty space if VALUE is non-negative. */
+static void
+fmt_ftostr (char *dest, size_t size, int precision, const char *conversion,
+ FLOAT value)
+{
+ char format[64];
+ char *ptr_format;
+ int ret;
+
+ /* Generate the format string. */
+ ptr_format = stpcpy (format, "%.");
+ ret = sprintf (ptr_format, "%d", precision);
+ ptr_format += ret;
+ ptr_format = stpcpy (ptr_format, conversion);
+
+ /* Add a space to the beginning of the output string, if the floating-point
+ number is non-negative. This mimics the behavior of the space (' ') flag
+ in snprintf, which is not available on strfrom. */
+ if (! signbit (value))
+ {
+ *dest = ' ';
+ dest++;
+ size--;
+ }
+
+ /* Call the float to string conversion function, e.g.: strfromd. */
+ FTOSTR (dest, size, format, value);
+}
+
+/* Compare KEY (a string, with the name of a function) with ULP (a
+ pointer to a struct ulp_data structure), returning a value less
+ than, equal to or greater than zero for use in bsearch. */
+
+static int
+compare_ulp_data (const void *key, const void *ulp)
+{
+ const char *keystr = key;
+ const struct ulp_data *ulpdat = ulp;
+ return strcmp (keystr, ulpdat->name);
+}
+
+/* Return the ulps for NAME in array DATA with NMEMB elements, or 0 if
+ no ulps listed. */
+
+static FLOAT
+find_ulps (const char *name, const struct ulp_data *data, size_t nmemb)
+{
+ const struct ulp_data *entry = bsearch (name, data, nmemb, sizeof (*data),
+ compare_ulp_data);
+ if (entry == NULL)
+ return 0;
+ else
+ return entry->max_ulp[ULP_IDX];
+}
+
+static void
+init_max_error (const char *name, int exact)
+{
+ max_error = 0;
+ real_max_error = 0;
+ imag_max_error = 0;
+ prev_max_error = find_ulps (name, func_ulps,
+ sizeof (func_ulps) / sizeof (func_ulps[0]));
+ prev_real_max_error = find_ulps (name, func_real_ulps,
+ (sizeof (func_real_ulps)
+ / sizeof (func_real_ulps[0])));
+ prev_imag_max_error = find_ulps (name, func_imag_ulps,
+ (sizeof (func_imag_ulps)
+ / sizeof (func_imag_ulps[0])));
+#if TEST_COND_ibm128
+ /* The documented accuracy of IBM long double division is 3ulp (see
+ libgcc/config/rs6000/ibm-ldouble-format), so do not require
+ better accuracy for libm functions that are exactly defined for
+ other formats. */
+ max_valid_error = exact ? 3 : 16;
+#else
+ max_valid_error = exact ? 0 : 9;
+#endif
+ prev_max_error = (prev_max_error <= max_valid_error
+ ? prev_max_error
+ : max_valid_error);
+ prev_real_max_error = (prev_real_max_error <= max_valid_error
+ ? prev_real_max_error
+ : max_valid_error);
+ prev_imag_max_error = (prev_imag_max_error <= max_valid_error
+ ? prev_imag_max_error
+ : max_valid_error);
+ feclearexcept (FE_ALL_EXCEPT);
+ errno = 0;
+}
+
+static void
+set_max_error (FLOAT current, FLOAT *curr_max_error)
+{
+ if (current > *curr_max_error && current <= max_valid_error)
+ *curr_max_error = current;
+}
+
+
+/* Print a FLOAT. */
+static void
+print_float (FLOAT f)
+{
+ /* As printf doesn't differ between a sNaN and a qNaN, do this manually. */
+ if (issignaling (f))
+ printf ("sNaN\n");
+ else if (isnan (f))
+ printf ("qNaN\n");
+ else
+ {
+ char fstrn[FSTR_MAX], fstrx[FSTR_MAX];
+ fmt_ftostr (fstrn, FSTR_MAX, TYPE_DECIMAL_DIG - 1, "e", f);
+ fmt_ftostr (fstrx, FSTR_MAX, TYPE_HEX_DIG - 1, "a", f);
+ printf ("%s %s\n", fstrn, fstrx);
+ }
+}
+
+/* Should the message print to screen? This depends on the verbose flag,
+ and the test status. */
+static int
+print_screen (int ok)
+{
+ if (output_points
+ && (verbose > 1
+ || (verbose == 1 && ok == 0)))
+ return 1;
+ return 0;
+}
+
+
+/* Should the message print to screen? This depends on the verbose flag,
+ and the test status. */
+static int
+print_screen_max_error (int ok)
+{
+ if (output_max_error
+ && (verbose > 1
+ || ((verbose == 1) && (ok == 0))))
+ return 1;
+ return 0;
+}
+
+/* Update statistic counters. */
+static void
+update_stats (int ok)
+{
+ ++noTests;
+ if (!ok)
+ ++noErrors;
+}
+
+static void
+print_function_ulps (const char *function_name, FLOAT ulp)
+{
+ if (output_ulps)
+ {
+ char ustrn[FSTR_MAX];
+ FTOSTR (ustrn, FSTR_MAX, "%.0f", FUNC (ceil) (ulp));
+ fprintf (ulps_file, "Function: \"%s\":\n", function_name);
+ fprintf (ulps_file, QTYPE_STR ": %s\n", 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, QTYPE_STR ": %s\n", 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, QTYPE_STR ": %s\n", fstrn);
+ }
+
+
+ }
+}
+
+
+
+/* Test if Floating-Point stack hasn't changed */
+static void
+fpstack_test (const char *test_name)
+{
+#if defined (__i386__) || defined (__x86_64__)
+ static int old_stack;
+ int sw;
+
+ asm ("fnstsw" : "=a" (sw));
+ sw >>= 11;
+ sw &= 7;
+
+ if (sw != old_stack)
+ {
+ printf ("FP-Stack wrong after test %s (%d, should be %d)\n",
+ test_name, sw, old_stack);
+ ++noErrors;
+ old_stack = sw;
+ }
+#endif
+}
+
+
+static void
+print_max_error (const char *func_name)
+{
+ int ok = 0;
+
+ if (max_error == 0.0 || (max_error <= prev_max_error && !ignore_max_ulp))
+ {
+ ok = 1;
+ }
+
+ if (!ok)
+ print_function_ulps (func_name, max_error);
+
+
+ if (print_screen_max_error (ok))
+ {
+ char mestr[FSTR_MAX], pmestr[FSTR_MAX];
+ FTOSTR (mestr, FSTR_MAX, "%.0f", FUNC (ceil) (max_error));
+ FTOSTR (pmestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_max_error));
+ printf ("Maximal error of `%s'\n", func_name);
+ printf (" is : %s ulp\n", mestr);
+ printf (" accepted: %s ulp\n", pmestr);
+ }
+
+ update_stats (ok);
+}
+
+
+static void
+print_complex_max_error (const char *func_name)
+{
+ int real_ok = 0, imag_ok = 0, ok;
+
+ if (real_max_error == 0
+ || (real_max_error <= prev_real_max_error && !ignore_max_ulp))
+ {
+ real_ok = 1;
+ }
+
+ if (imag_max_error == 0
+ || (imag_max_error <= prev_imag_max_error && !ignore_max_ulp))
+ {
+ imag_ok = 1;
+ }
+
+ ok = real_ok && imag_ok;
+
+ if (!ok)
+ print_complex_function_ulps (func_name,
+ real_ok ? 0 : real_max_error,
+ imag_ok ? 0 : imag_max_error);
+
+ if (print_screen_max_error (ok))
+ {
+ char rmestr[FSTR_MAX], prmestr[FSTR_MAX];
+ char imestr[FSTR_MAX], pimestr[FSTR_MAX];
+ FTOSTR (rmestr, FSTR_MAX, "%.0f", FUNC (ceil) (real_max_error));
+ FTOSTR (prmestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_real_max_error));
+ FTOSTR (imestr, FSTR_MAX, "%.0f", FUNC (ceil) (imag_max_error));
+ FTOSTR (pimestr, FSTR_MAX, "%.0f", FUNC (ceil) (prev_imag_max_error));
+ printf ("Maximal error of real part of: %s\n", func_name);
+ printf (" is : %s ulp\n", rmestr);
+ printf (" accepted: %s ulp\n", prmestr);
+ printf ("Maximal error of imaginary part of: %s\n", func_name);
+ printf (" is : %s ulp\n", imestr);
+ printf (" accepted: %s ulp\n", pimestr);
+ }
+
+ update_stats (ok);
+}
+
+
+#if FE_ALL_EXCEPT
+/* Test whether a given exception was raised. */
+static void
+test_single_exception (const char *test_name,
+ int exception,
+ int exc_flag,
+ int fe_flag,
+ const char *flag_name)
+{
+ int ok = 1;
+ if (exception & exc_flag)
+ {
+ if (fetestexcept (fe_flag))
+ {
+ if (print_screen (1))
+ printf ("Pass: %s: Exception \"%s\" set\n", test_name, flag_name);
+ }
+ else
+ {
+ ok = 0;
+ if (print_screen (0))
+ printf ("Failure: %s: Exception \"%s\" not set\n",
+ test_name, flag_name);
+ }
+ }
+ else
+ {
+ if (fetestexcept (fe_flag))
+ {
+ ok = 0;
+ if (print_screen (0))
+ printf ("Failure: %s: Exception \"%s\" set\n",
+ test_name, flag_name);
+ }
+ else
+ {
+ if (print_screen (1))
+ printf ("%s: Exception \"%s\" not set\n", test_name,
+ flag_name);
+ }
+ }
+ if (!ok)
+ ++noErrors;
+}
+#endif
+
+/* Test whether exceptions given by EXCEPTION are raised. Ignore thereby
+ allowed but not required exceptions.
+*/
+static void
+test_exceptions (const char *test_name, int exception)
+{
+ if (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)
+{