summaryrefslogtreecommitdiff
path: root/test/math/libm-test.inc
diff options
context:
space:
mode:
authorWaldemar Brodkorb <wbx@uclibc-ng.org>2016-11-03 13:03:55 +0100
committerWaldemar Brodkorb <wbx@uclibc-ng.org>2016-11-03 13:03:55 +0100
commit3384c45e66ddf18f235654b67ae34ac7dcb07534 (patch)
treeedbd0f03b72acb5961f7919e13da34a34a84fc23 /test/math/libm-test.inc
parent29d1023614fcfef8520edec8b64e9f8953d9a121 (diff)
math: sync with GNU libc
The format of the ULPS files have changed, non-glibc architecture files needs to be updated later. Add all math tests from latest GNU libc and allow to compile and run them on uClibc-ng and GNU libc systems.
Diffstat (limited to 'test/math/libm-test.inc')
-rw-r--r--test/math/libm-test.inc14953
1 files changed, 11329 insertions, 3624 deletions
diff --git a/test/math/libm-test.inc b/test/math/libm-test.inc
index f50b48b..2fc97ee 100644
--- a/test/math/libm-test.inc
+++ b/test/math/libm-test.inc
@@ -1,4 +1,4 @@
-/* Copyright (C) 1997-2002, 2003, 2004, 2005, 2006 Free Software Foundation, Inc.
+/* Copyright (C) 1997-2016 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Andreas Jaeger <aj@suse.de>, 1997.
@@ -24,40 +24,46 @@
Macros:
FUNC(function): converts general function name (like cos) to
name with correct suffix (e.g. cosl or cosf)
- MATHCONST(x): like FUNC but for constants (e.g convert 0.0 to 0.0L)
- FLOAT: floating point type to test
- - TEST_MSG: informal message to be displayed
- CHOOSE(Clongdouble,Cdouble,Cfloat,Cinlinelongdouble,Cinlinedouble,Cinlinefloat):
+ FLOAT: floating point type to test
+ - TEST_MSG: informal message to be displayed
chooses one of the parameters as delta for testing
equality
- PRINTF_EXPR Floating point conversion specification to print a variable
+ PRINTF_EXPR Floating point conversion specification to print a variable
of type FLOAT with printf. PRINTF_EXPR just contains
the specifier, not the percent and width arguments,
e.g. "f".
PRINTF_XEXPR Like PRINTF_EXPR, but print in hexadecimal format.
- PRINTF_NEXPR Like PRINTF_EXPR, but print nice. */
+ PRINTF_NEXPR Like PRINTF_EXPR, but print nice.
+ 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 snprintf
+ which converts a FLOAT to a string. */
/* This testsuite has currently tests for:
acos, acosh, asin, asinh, atan, atan2, atanh,
- cbrt, ceil, copysign, cos, cosh, erf, erfc, exp, exp10, exp2, expm1,
- fabs, fdim, floor, fma, fmax, fmin, fmod, fpclassify,
+ cbrt, ceil, copysign, cos, cosh, drem, erf, erfc, exp, exp10, exp2, expm1,
+ fabs, fdim, finite, floor, fma, fmax, fmin, fmod, fpclassify,
frexp, gamma, hypot,
- ilogb, isfinite, isinf, isnan, isnormal,
+ ilogb, isfinite, isinf, isnan, isnormal, issignaling,
isless, islessequal, isgreater, isgreaterequal, islessgreater, isunordered,
j0, j1, jn,
ldexp, lgamma, log, log10, log1p, log2, logb,
- modf, nearbyint, nextafter,
- pow, remainder, remquo, rint, lrint, llrint,
+ modf, nearbyint, nextafter, nexttoward,
+ pow, pow10, remainder, remquo, rint, lrint, llrint,
round, lround, llround,
scalb, scalbn, scalbln, signbit, sin, sincos, sinh, sqrt, tan, tanh, tgamma, trunc,
y0, y1, yn, significand
and for the following complex math functions:
cabs, cacos, cacosh, carg, casin, casinh, catan, catanh,
- ccos, ccosh, cexp, clog, cpow, cproj, csin, csinh, csqrt, ctan, ctanh.
+ ccos, ccosh, cexp, cimag, clog, clog10, conj, cpow, cproj, creal,
+ csin, csinh, csqrt, ctan, ctanh.
- At the moment the following functions aren't tested:
- drem, nan
+ At the moment the following functions and macros aren't tested:
+ lgamma_r,
+ nan.
Parameter handling is primitive in the moment:
--verbose=[0..3] for different levels of output:
@@ -78,13 +84,7 @@
against. These implemented tests should check all cases that are
specified in ISO C99.
- Exception testing: At the moment only divide-by-zero and invalid
- exceptions are tested. Overflow/underflow and inexact exceptions
- aren't checked at the moment.
-
- NaN values: There exist signalling and quiet NaNs. This implementation
- only uses quiet NaN as parameter but does not differenciate
- between the two kinds of NaNs as result.
+ NaN values: The payload of NaNs is not examined.
Inline functions: Inlining functions should give an improvement in
speed - but not in precission. The inlined functions return
@@ -115,14 +115,14 @@
# define _GNU_SOURCE
#endif
-#undef __CHK_COMPLEX_STUFF
-#define __CHK_COMPLEX_STUFF 0
-
-#include "libm-test-ulps.h"
#include <complex.h>
#include <math.h>
#include <float.h>
+#if defined(__GLIBC__) || defined(__UCLIBC__) && defined(__UCLIBC_HAS_FENV__)
+#include <fenv.h>
+#else
#include "fenv.h"
+#endif
#include <limits.h>
#include <errno.h>
@@ -131,93 +131,311 @@
#include <string.h>
#include <getopt.h>
+#define TININESS_AFTER_ROUNDING 0
+
+#include "math-tests.h"
+#include "math-tests-arch.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 0x4
-#define DIVIDE_BY_ZERO_EXCEPTION_OK 0x8
+#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 togther with exceptions. */
-#define IGNORE_ZERO_INF_SIGN 0x10
-
-/* Various constants (we must supply them precalculated for accuracy). */
-#define M_PI_6l .52359877559829887307710723054658383L
-#define M_E2l 7.389056098930650227230427460575008L
-#define M_E3l 20.085536923187667740928529654581719L
-#define M_2_SQRT_PIl 3.5449077018110320545963349666822903L /* 2 sqrt (M_PIl) */
-#define M_SQRT_PIl 1.7724538509055160272981674833411451L /* sqrt (M_PIl) */
-#define M_LOG_SQRT_PIl 0.57236494292470008707171367567652933L /* log(sqrt(M_PIl)) */
-#define M_LOG_2_SQRT_PIl 1.265512123484645396488945797134706L /* log(2*sqrt(M_PIl)) */
-#define M_PI_34l (M_PIl - M_PI_4l) /* 3*pi/4 */
-#define M_PI_34_LOG10El (M_PIl - M_PI_4l) * M_LOG10El
-#define M_PI2_LOG10El M_PI_2l * M_LOG10El
-#define M_PI4_LOG10El M_PI_4l * M_LOG10El
-#define M_PI_LOG10El M_PIl * M_LOG10El
-#define M_SQRT_2_2 0.70710678118654752440084436210484903L /* sqrt (2) / 2 */
-
-static FILE *ulps_file; /* File to document difference. */
-static int output_ulps; /* Should ulps printed? */
+/* Some special test flags, passed together with exceptions. */
+#define IGNORE_ZERO_INF_SIGN 0x400
+#define TEST_NAN_SIGN 0x800
+#define NO_TEST_INLINE 0x1000
+#define XFAIL_TEST 0x2000
+/* Indicate errno settings required or disallowed. */
+#define ERRNO_UNCHANGED 0x4000
+#define ERRNO_EDOM 0x8000
+#define ERRNO_ERANGE 0x10000
+/* Flags generated by gen-libm-test.pl, not entered here manually. */
+#define IGNORE_RESULT 0x20000
+#define NON_FINITE 0x40000
+#define TEST_SNAN 0x80000
+
+#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)
+
+/* 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 noXFails; /* number of expected failures. */
-static int noXPasses; /* number of unexpected passes. */
+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 minus_zero, plus_zero;
-static FLOAT plus_infty, minus_infty, nan_value, max_value, min_value;
+#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 FUNC (__builtin_nan) ("")
+#define snan_value FUNC (__builtin_nans) ("")
+#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;
-#define BUILD_COMPLEX(real, imag) \
- ({ __complex__ FLOAT __retval; \
- __real__ __retval = (real); \
- __imag__ __retval = (imag); \
- __retval; })
+static FLOAT max_valid_error;
-#define BUILD_COMPLEX_INT(real, imag) \
- ({ __complex__ int __retval; \
- __real__ __retval = (real); \
- __imag__ __retval = (imag); \
- __retval; })
+/* 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)
+
+/* 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. */
-#define MANT_DIG CHOOSE ((LDBL_MANT_DIG-1), (DBL_MANT_DIG-1), (FLT_MANT_DIG-1), \
- (LDBL_MANT_DIG-1), (DBL_MANT_DIG-1), (FLT_MANT_DIG-1))
+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 (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 : 14;
+#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)
+ 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];
+ FTOSTR (fstrn, FSTR_MAX, "% .*" PRINTF_EXPR, TYPE_DECIMAL_DIG - 1, f);
+ FTOSTR (fstrx, FSTR_MAX, "% .*" PRINTF_XEXPR, TYPE_HEX_DIG - 1, 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, int xfail)
+print_screen (int ok)
{
if (output_points
&& (verbose > 1
- || (verbose == 1 && ok == xfail)))
+ || (verbose == 1 && ok == 0)))
return 1;
return 0;
}
@@ -226,51 +444,33 @@ print_screen (int ok, int xfail)
/* Should the message print to screen? This depends on the verbose flag,
and the test status. */
static int
-print_screen_max_error (int ok, int xfail)
+print_screen_max_error (int ok)
{
if (output_max_error
&& (verbose > 1
- || ((verbose == 1) && (ok == xfail))))
+ || ((verbose == 1) && (ok == 0))))
return 1;
return 0;
}
/* Update statistic counters. */
static void
-update_stats (int ok, int xfail)
+update_stats (int ok)
{
++noTests;
- if (ok && xfail)
- ++noXPasses;
- else if (!ok && xfail)
- ++noXFails;
- else if (!ok && !xfail)
+ if (!ok)
++noErrors;
}
static void
-print_ulps (const char *test_name, FLOAT ulp)
-{
- if (output_ulps)
- {
- fprintf (ulps_file, "Test \"%s\":\n", test_name);
- fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
- CHOOSE("ldouble", "double", "float",
- "ildouble", "idouble", "ifloat"),
- FUNC(ceil) (ulp));
- }
-}
-
-static void
print_function_ulps (const char *function_name, FLOAT ulp)
{
if (output_ulps)
{
+ char ustrn[FSTR_MAX];
+ FTOSTR (ustrn, FSTR_MAX, "%.0" PRINTF_NEXPR, FUNC (ceil) (ulp));
fprintf (ulps_file, "Function: \"%s\":\n", function_name);
- fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
- CHOOSE("ldouble", "double", "float",
- "ildouble", "idouble", "ifloat"),
- FUNC(ceil) (ulp));
+ fprintf (ulps_file, QTYPE_STR ": %s\n", ustrn);
}
}
@@ -281,21 +481,20 @@ print_complex_function_ulps (const char *function_name, FLOAT real_ulp,
{
if (output_ulps)
{
+ char fstrn[FSTR_MAX];
if (real_ulp != 0.0)
{
+ FTOSTR (fstrn, FSTR_MAX, "%.0" PRINTF_NEXPR,
+ FUNC (ceil) (real_ulp));
fprintf (ulps_file, "Function: Real part of \"%s\":\n", function_name);
- fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
- CHOOSE("ldouble", "double", "float",
- "ildouble", "idouble", "ifloat"),
- FUNC(ceil) (real_ulp));
+ fprintf (ulps_file, QTYPE_STR ": %s\n", fstrn);
}
if (imag_ulp != 0.0)
{
+ FTOSTR (fstrn, FSTR_MAX, "%.0" PRINTF_NEXPR,
+ FUNC (ceil) (imag_ulp));
fprintf (ulps_file, "Function: Imaginary part of \"%s\":\n", function_name);
- fprintf (ulps_file, "%s: %.0" PRINTF_NEXPR "\n",
- CHOOSE("ldouble", "double", "float",
- "ildouble", "idouble", "ifloat"),
- FUNC(ceil) (imag_ulp));
+ fprintf (ulps_file, QTYPE_STR ": %s\n", fstrn);
}
@@ -308,11 +507,11 @@ print_complex_function_ulps (const char *function_name, FLOAT real_ulp,
static void
fpstack_test (const char *test_name)
{
-#ifdef i386
+#if defined (__i386__) || defined (__x86_64__)
static int old_stack;
int sw;
- __asm__ ("fnstsw" : "=a" (sw));
+ asm ("fnstsw" : "=a" (sw));
sw >>= 11;
sw &= 7;
@@ -328,11 +527,11 @@ fpstack_test (const char *test_name)
static void
-print_max_error (const char *func_name, FLOAT allowed, int xfail)
+print_max_error (const char *func_name)
{
int ok = 0;
- if (max_error == 0.0 || (max_error <= allowed && !ignore_max_ulp))
+ if (max_error == 0.0 || (max_error <= prev_max_error && !ignore_max_ulp))
{
ok = 1;
}
@@ -341,53 +540,69 @@ print_max_error (const char *func_name, FLOAT allowed, int xfail)
print_function_ulps (func_name, max_error);
- if (print_screen_max_error (ok, xfail))
+ if (print_screen_max_error (ok))
{
+ char mestr[FSTR_MAX], pmestr[FSTR_MAX];
+ FTOSTR (mestr, FSTR_MAX, "%.0" PRINTF_NEXPR, FUNC (ceil) (max_error));
+ FTOSTR (pmestr, FSTR_MAX, "%.0" PRINTF_NEXPR, FUNC (ceil) (prev_max_error));
printf ("Maximal error of `%s'\n", func_name);
- printf (" is : %.0" PRINTF_NEXPR " ulp\n", FUNC(ceil) (max_error));
- printf (" accepted: %.0" PRINTF_NEXPR " ulp\n", FUNC(ceil) (allowed));
+ printf (" is : %s ulp\n", mestr);
+ printf (" accepted: %s ulp\n", pmestr);
}
- update_stats (ok, xfail);
+ update_stats (ok);
}
static void
-print_complex_max_error (const char *func_name, __complex__ FLOAT allowed,
- __complex__ int xfail)
+print_complex_max_error (const char *func_name)
{
- int ok = 0;
+ int real_ok = 0, imag_ok = 0, ok;
- if ((real_max_error == 0 && imag_max_error == 0)
- || (real_max_error <= __real__ allowed
- && imag_max_error <= __imag__ allowed
- && !ignore_max_ulp))
+ if (real_max_error == 0
+ || (real_max_error <= prev_real_max_error && !ignore_max_ulp))
{
- ok = 1;
+ real_ok = 1;
}
- if (!ok)
- print_complex_function_ulps (func_name, real_max_error, imag_max_error);
+ if (imag_max_error == 0
+ || (imag_max_error <= prev_imag_max_error && !ignore_max_ulp))
+ {
+ imag_ok = 1;
+ }
+ ok = real_ok && imag_ok;
- if (print_screen_max_error (ok, xfail))
+ 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, "%.0" PRINTF_NEXPR,
+ FUNC (ceil) (real_max_error));
+ FTOSTR (prmestr, FSTR_MAX, "%.0" PRINTF_NEXPR,
+ FUNC (ceil) (prev_real_max_error));
+ FTOSTR (imestr, FSTR_MAX, "%.0" PRINTF_NEXPR,
+ FUNC (ceil) (imag_max_error));
+ FTOSTR (pimestr, FSTR_MAX, "%.0" PRINTF_NEXPR,
+ FUNC (ceil) (prev_imag_max_error));
printf ("Maximal error of real part of: %s\n", func_name);
- printf (" is : %.0" PRINTF_NEXPR " ulp\n",
- FUNC(ceil) (real_max_error));
- printf (" accepted: %.0" PRINTF_NEXPR " ulp\n",
- FUNC(ceil) (__real__ allowed));
+ 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 : %.0" PRINTF_NEXPR " ulp\n",
- FUNC(ceil) (imag_max_error));
- printf (" accepted: %.0" PRINTF_NEXPR " ulp\n",
- FUNC(ceil) (__imag__ allowed));
+ printf (" is : %s ulp\n", imestr);
+ printf (" accepted: %s ulp\n", pimestr);
}
- update_stats (ok, xfail);
+ update_stats (ok);
}
+#if FE_ALL_EXCEPT
/* Test whether a given exception was raised. */
static void
test_single_exception (const char *test_name,
@@ -396,19 +611,18 @@ test_single_exception (const char *test_name,
int fe_flag,
const char *flag_name)
{
-#ifndef TEST_INLINE
int ok = 1;
if (exception & exc_flag)
{
if (fetestexcept (fe_flag))
{
- if (print_screen (1, 0))
+ if (print_screen (1))
printf ("Pass: %s: Exception \"%s\" set\n", test_name, flag_name);
}
else
{
ok = 0;
- if (print_screen (0, 0))
+ if (print_screen (0))
printf ("Failure: %s: Exception \"%s\" not set\n",
test_name, flag_name);
}
@@ -418,23 +632,21 @@ test_single_exception (const char *test_name,
if (fetestexcept (fe_flag))
{
ok = 0;
- if (print_screen (0, 0))
+ if (print_screen (0))
printf ("Failure: %s: Exception \"%s\" set\n",
test_name, flag_name);
}
else
{
- if (print_screen (1, 0))
+ if (print_screen (1))
printf ("%s: Exception \"%s\" not set\n", test_name,
flag_name);
}
}
if (!ok)
++noErrors;
-
-#endif
}
-
+#endif
/* Test whether exceptions given by EXCEPTION are raised. Ignore thereby
allowed but not required exceptions.
@@ -442,35 +654,162 @@ test_single_exception (const char *test_name,
static void
test_exceptions (const char *test_name, int exception)
{
- ++noExcTests;
+ 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");
+ 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");
+ 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 (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,
- FLOAT max_ulp, int xfail, int exceptions,
- FLOAT *curr_max_error)
+ int exceptions,
+ FLOAT *curr_max_error, FLOAT max_ulp)
{
int ok = 0;
int print_diff = 0;
FLOAT diff = 0;
- FLOAT ulp = 0;
+ FLOAT ulps = 0;
+ int errno_value = errno;
test_exceptions (test_name, exceptions);
- if (isnan (computed) && isnan (expected))
- ok = 1;
+ 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
+ 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
+ ok = 1;
+ }
else if (isinf (computed) && isinf (expected))
{
/* Test for sign of infinities. */
@@ -483,115 +822,119 @@ check_float_internal (const char *test_name, FLOAT computed, FLOAT expected,
else
ok = 1;
}
- /* Don't calc ulp for NaNs or infinities. */
- else if (isinf (computed) || isnan (computed) || isinf (expected) || isnan (expected))
+ /* 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);
- /* ilogb (0) isn't allowed. */
- if (expected == 0.0)
- ulp = diff / FUNC(ldexp) (1.0, - MANT_DIG);
- else
- ulp = diff / FUNC(ldexp) (1.0, FUNC(ilogb) (expected) - MANT_DIG);
- set_max_error (ulp, curr_max_error);
+ 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 (ulp <= 0.5 || (ulp <= max_ulp && !ignore_max_ulp))
+ else if (ulps <= max_ulp && !ignore_max_ulp)
ok = 1;
else
- {
- ok = 0;
- print_ulps (test_name, ulp);
- }
-
+ ok = 0;
}
- if (print_screen (ok, xfail))
+ if (print_screen (ok))
{
if (!ok)
printf ("Failure: ");
printf ("Test: %s\n", test_name);
printf ("Result:\n");
- printf (" is: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n",
- computed, computed);
- printf (" should be: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR "\n",
- expected, expected);
+ printf (" is: ");
+ print_float (computed);
+ printf (" should be: ");
+ print_float (expected);
if (print_diff)
{
- printf (" difference: % .20" PRINTF_EXPR " % .20" PRINTF_XEXPR
- "\n", diff, diff);
- printf (" ulp : % .4" PRINTF_NEXPR "\n", ulp);
- printf (" max.ulp : % .4" PRINTF_NEXPR "\n", max_ulp);
+ char dstrn[FSTR_MAX], dstrx[FSTR_MAX];
+ char ustrn[FSTR_MAX], mustrn[FSTR_MAX];
+ FTOSTR (dstrn, FSTR_MAX, "% .*" PRINTF_EXPR,
+ TYPE_DECIMAL_DIG - 1, diff);
+ FTOSTR (dstrx, FSTR_MAX, "% .*" PRINTF_XEXPR,
+ TYPE_HEX_DIG - 1, diff);
+ FTOSTR (ustrn, FSTR_MAX, "% .4" PRINTF_NEXPR, ulps);
+ FTOSTR (mustrn, FSTR_MAX, "% .4" PRINTF_NEXPR, max_ulp);
+ printf (" difference: %s %s\n", dstrn, dstrx);
+ printf (" ulp : %s\n", ustrn);
+ printf (" max.ulp : %s\n", mustrn);
}
}
- update_stats (ok, xfail);
+ update_stats (ok);
+ out:
fpstack_test (test_name);
+ errno = 0;
}
static void
check_float (const char *test_name, FLOAT computed, FLOAT expected,
- FLOAT max_ulp, int xfail, int exceptions)
+ int exceptions)
{
- check_float_internal (test_name, computed, expected, max_ulp, xfail,
- exceptions, &max_error);
+ check_float_internal (test_name, computed, expected,
+ exceptions, &max_error, prev_max_error);
}
static void
check_complex (const char *test_name, __complex__ FLOAT computed,
__complex__ FLOAT expected,
- __complex__ FLOAT max_ulp, __complex__ int xfail,
int exception)
{
- FLOAT part_comp, part_exp, part_max_ulp;
- int part_xfail;
- char str[200];
+ FLOAT part_comp, part_exp;
+ char *str;
+
+ if (asprintf (&str, "Real part of: %s", test_name) == -1)
+ abort ();
- sprintf (str, "Real part of: %s", test_name);
part_comp = __real__ computed;
part_exp = __real__ expected;
- part_max_ulp = __real__ max_ulp;
- part_xfail = __real__ xfail;
- check_float_internal (str, part_comp, part_exp, part_max_ulp, part_xfail,
- exception, &real_max_error);
+ 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 ();
- sprintf (str, "Imaginary part of: %s", test_name);
part_comp = __imag__ computed;
part_exp = __imag__ expected;
- part_max_ulp = __imag__ max_ulp;
- part_xfail = __imag__ xfail;
- /* Don't check again for exceptions, just pass through the
- zero/inf sign test. */
- check_float_internal (str, part_comp, part_exp, part_max_ulp, part_xfail,
- exception & IGNORE_ZERO_INF_SIGN,
- &imag_max_error);
+ /* 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). */
static void
-check_int (const char *test_name, int computed, int expected, int max_ulp,
- int xfail, int exceptions)
+check_int (const char *test_name, int computed, int expected,
+ int exceptions)
{
- int diff = computed - expected;
int ok = 0;
+ int errno_value = errno;
test_exceptions (test_name, exceptions);
+ test_e