1ad83445fc
For some reason the ld128 log1pl() implementation is less accurate than logl(), but does at least guarantee precision >= the ld80 implementation. Mark log1p_accuracy_tests as XFAIL for ld128 and increase the log1p tolerance to the ld80 equivalent in accuracy_tests to avoid losing test coverage for the other functions. PR: 253984 Reviewed By: ngie, dim Differential Revision: https://reviews.freebsd.org/D29039
281 lines
9.4 KiB
C
281 lines
9.4 KiB
C
/*-
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* Copyright (c) 2008-2010 David Schultz <das@FreeBSD.org>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*/
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/*
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* Tests for corner cases in log*().
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*/
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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#include <sys/param.h>
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#include <fenv.h>
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#include <float.h>
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#include <math.h>
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#include <stdio.h>
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#ifdef __i386__
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#include <ieeefp.h>
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#endif
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#include "test-utils.h"
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#pragma STDC FENV_ACCESS ON
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/*
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* Test that a function returns the correct value and sets the
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* exception flags correctly. The exceptmask specifies which
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* exceptions we should check. We need to be lenient for several
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* reasoons, but mainly because on some architectures it's impossible
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* to raise FE_OVERFLOW without raising FE_INEXACT.
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*
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* These are macros instead of functions so that assert provides more
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* meaningful error messages.
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*
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* XXX The volatile here is to avoid gcc's bogus constant folding and work
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* around the lack of support for the FENV_ACCESS pragma.
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*/
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#define test(func, x, result, exceptmask, excepts) do { \
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volatile long double _d = x; \
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ATF_CHECK_EQ(0, feclearexcept(FE_ALL_EXCEPT)); \
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CHECK_FPEQUAL((func)(_d), (result)); \
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CHECK_FP_EXCEPTIONS_MSG(excepts, exceptmask, "for %s(%s)", \
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#func, #x); \
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} while (0)
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#define test_tol(func, z, result, tol) do { \
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volatile long double _d = z; \
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debug(" testing %6s(%15La) ~= % .36Le\n", #func, _d, result); \
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CHECK_FPEQUAL_TOL((func)(_d), (result), (tol), CS_BOTH); \
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} while (0)
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/* Test all the functions that compute log(x). */
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#define testall0(x, result, exceptmask, excepts) do { \
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test(log, x, result, exceptmask, excepts); \
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test(logf, x, result, exceptmask, excepts); \
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test(logl, x, result, exceptmask, excepts); \
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test(log2, x, result, exceptmask, excepts); \
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test(log2f, x, result, exceptmask, excepts); \
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test(log2l, x, result, exceptmask, excepts); \
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test(log10, x, result, exceptmask, excepts); \
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test(log10f, x, result, exceptmask, excepts); \
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test(log10l, x, result, exceptmask, excepts); \
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} while (0)
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/* Test all the functions that compute log(1+x). */
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#define testall1(x, result, exceptmask, excepts) do { \
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test(log1p, x, result, exceptmask, excepts); \
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test(log1pf, x, result, exceptmask, excepts); \
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test(log1pl, x, result, exceptmask, excepts); \
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} while (0)
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ATF_TC_WITHOUT_HEAD(generic_tests);
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ATF_TC_BODY(generic_tests, tc)
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{
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/* log(1) == 0, no exceptions raised */
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testall0(1.0, 0.0, ALL_STD_EXCEPT, 0);
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testall1(0.0, 0.0, ALL_STD_EXCEPT, 0);
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testall1(-0.0, -0.0, ALL_STD_EXCEPT, 0);
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/* log(NaN) == NaN, no exceptions raised */
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testall0(NAN, NAN, ALL_STD_EXCEPT, 0);
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testall1(NAN, NAN, ALL_STD_EXCEPT, 0);
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/* log(Inf) == Inf, no exceptions raised */
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testall0(INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
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testall1(INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
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/* log(x) == NaN for x < 0, invalid exception raised */
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testall0(-INFINITY, NAN, ALL_STD_EXCEPT, FE_INVALID);
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testall1(-INFINITY, NAN, ALL_STD_EXCEPT, FE_INVALID);
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testall0(-1.0, NAN, ALL_STD_EXCEPT, FE_INVALID);
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testall1(-1.5, NAN, ALL_STD_EXCEPT, FE_INVALID);
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/* log(0) == -Inf, divide-by-zero exception */
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testall0(0.0, -INFINITY, ALL_STD_EXCEPT & ~FE_INEXACT, FE_DIVBYZERO);
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testall0(-0.0, -INFINITY, ALL_STD_EXCEPT & ~FE_INEXACT, FE_DIVBYZERO);
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testall1(-1.0, -INFINITY, ALL_STD_EXCEPT & ~FE_INEXACT, FE_DIVBYZERO);
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}
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ATF_TC_WITHOUT_HEAD(log2_tests);
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ATF_TC_BODY(log2_tests, tc)
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{
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unsigned i;
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/*
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* We should insist that log2() return exactly the correct
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* result and not raise an inexact exception for powers of 2.
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*/
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ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT));
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for (i = FLT_MIN_EXP - FLT_MANT_DIG; i < FLT_MAX_EXP; i++) {
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ATF_CHECK_EQ(i, log2f(ldexpf(1.0, i)));
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CHECK_FP_EXCEPTIONS(0, ALL_STD_EXCEPT);
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}
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for (i = DBL_MIN_EXP - DBL_MANT_DIG; i < DBL_MAX_EXP; i++) {
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ATF_CHECK_EQ(i, log2(ldexp(1.0, i)));
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CHECK_FP_EXCEPTIONS(0, ALL_STD_EXCEPT);
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}
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for (i = LDBL_MIN_EXP - LDBL_MANT_DIG; i < LDBL_MAX_EXP; i++) {
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ATF_CHECK_EQ(i, log2l(ldexpl(1.0, i)));
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CHECK_FP_EXCEPTIONS(0, ALL_STD_EXCEPT);
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}
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}
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ATF_TC_WITHOUT_HEAD(roundingmode_tests);
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ATF_TC_BODY(roundingmode_tests, tc)
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{
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/*
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* Corner cases in other rounding modes.
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*/
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fesetround(FE_DOWNWARD);
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/* These are still positive per IEEE 754R */
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#if 0
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testall0(1.0, 0.0, ALL_STD_EXCEPT, 0);
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#else
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/* logl, log2l, and log10l don't pass yet. */
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test(log, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(logf, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(log2, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(log2f, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(log10, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(log10f, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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#endif
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testall1(0.0, 0.0, ALL_STD_EXCEPT, 0);
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fesetround(FE_TOWARDZERO);
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testall0(1.0, 0.0, ALL_STD_EXCEPT, 0);
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testall1(0.0, 0.0, ALL_STD_EXCEPT, 0);
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fesetround(FE_UPWARD);
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testall0(1.0, 0.0, ALL_STD_EXCEPT, 0);
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testall1(0.0, 0.0, ALL_STD_EXCEPT, 0);
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/* log1p(-0.0) == -0.0 even when rounding upwards */
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testall1(-0.0, -0.0, ALL_STD_EXCEPT, 0);
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fesetround(FE_TONEAREST);
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}
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ATF_TC_WITHOUT_HEAD(accuracy_tests);
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ATF_TC_BODY(accuracy_tests, tc)
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{
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static const struct {
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float x;
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long double log2x;
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long double logex;
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long double log10x;
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} tests[] = {
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{ 0x1p-120 + 0x1p-140,
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-1.19999998624139449158861798943319717e2L,
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-8.31776607135195754708796206665656732e1L,
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-3.61235990655024477716980559136055915e1L,
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},
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{ 1.0 - 0x1p-20,
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-1.37586186296463416424364914705656460e-6L,
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-9.53674771153890007250243736279163253e-7L,
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-4.14175690642480911859354110516159131e-7L, },
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{ 1.0 + 0x1p-20,
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1.37586055084113820105668028340371476e-6L,
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9.53673861659188233908415514963336144e-7L,
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4.14175295653950611453333571759200697e-7L },
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{ 19.75,
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4.30378074817710292442728634194115348e0L,
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2.98315349134713087533848129856505779e0L,
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1.29556709996247903756734359702926363e0L },
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{ 19.75 * 0x1p100,
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1.043037807481771029244272863419411534e2L,
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72.29787154734166181706169344438271459357255439172762452L,
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3.139856666636059855894123306947856631e1L },
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};
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unsigned i;
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long double log1p_ldbl_ulp = LDBL_ULP();
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#if LDBL_MANT_DIG > 64
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/*
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* On ld128 platforms the log1p() implementation provides less accuracy,
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* but does still match the ld80 precision. Use the ld80 LDBL_ULP()
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* value for now to avoid losing test coverage for the other functions.
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* Reported as https://bugs.freebsd.org/bugzilla/show_bug.cgi?id=253984
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*/
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log1p_ldbl_ulp = ldexpl(1.0, 1 - 64);
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#endif
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for (i = 0; i < nitems(tests); i++) {
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test_tol(log2, tests[i].x, tests[i].log2x, DBL_ULP());
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test_tol(log2f, tests[i].x, tests[i].log2x, FLT_ULP());
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test_tol(log2l, tests[i].x, tests[i].log2x, LDBL_ULP());
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test_tol(log, tests[i].x, tests[i].logex, DBL_ULP());
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test_tol(logf, tests[i].x, tests[i].logex, FLT_ULP());
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test_tol(logl, tests[i].x, tests[i].logex, LDBL_ULP());
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test_tol(log10, tests[i].x, tests[i].log10x, DBL_ULP());
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test_tol(log10f, tests[i].x, tests[i].log10x, FLT_ULP());
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test_tol(log10l, tests[i].x, tests[i].log10x, LDBL_ULP());
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if (tests[i].x >= 0.5) {
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test_tol(log1p, tests[i].x - 1, tests[i].logex,
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DBL_ULP());
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test_tol(log1pf, tests[i].x - 1, tests[i].logex,
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FLT_ULP());
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test_tol(log1pl, tests[i].x - 1, tests[i].logex,
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log1p_ldbl_ulp);
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}
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}
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}
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ATF_TC_WITHOUT_HEAD(log1p_accuracy_tests);
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ATF_TC_BODY(log1p_accuracy_tests, tc)
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{
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#if LDBL_MANT_DIG > 64
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if (atf_tc_get_config_var_as_bool_wd(tc, "ci", false))
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atf_tc_expect_fail("https://bugs.freebsd.org/253984");
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#endif
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test_tol(log1pf, 0x0.333333p0F,
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1.82321546859847114303367992804596800640e-1L, FLT_ULP());
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test_tol(log1p, 0x0.3333333333333p0,
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1.82321556793954589204283870982629267635e-1L, DBL_ULP());
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test_tol(log1pl, 0x0.33333333333333332p0L,
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1.82321556793954626202683007050468762914e-1L, LDBL_ULP());
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test_tol(log1pf, -0x0.333333p0F,
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-2.23143536413048672940940199918017467652e-1L, FLT_ULP());
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test_tol(log1p, -0x0.3333333333333p0,
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-2.23143551314209700255143859052009022937e-1L, DBL_ULP());
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test_tol(log1pl, -0x0.33333333333333332p0L,
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-2.23143551314209755752742563153765697950e-1L, LDBL_ULP());
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}
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ATF_TP_ADD_TCS(tp)
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{
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ATF_TP_ADD_TC(tp, generic_tests);
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ATF_TP_ADD_TC(tp, log2_tests);
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ATF_TP_ADD_TC(tp, roundingmode_tests);
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ATF_TP_ADD_TC(tp, accuracy_tests);
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ATF_TP_ADD_TC(tp, log1p_accuracy_tests);
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return (atf_no_error());
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}
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