File: [cvs.NetBSD.org] / src / tests / lib / libm / t_exp.c (download)
Revision 1.7.4.1, Sun Dec 7 14:32:03 2014 UTC (9 years, 4 months ago) by martin
Branch: netbsd-7
CVS Tags: netbsd-7-nhusb-base-20170116, netbsd-7-nhusb-base, netbsd-7-nhusb, netbsd-7-2-RELEASE, netbsd-7-1-RELEASE, netbsd-7-1-RC2, netbsd-7-1-RC1, netbsd-7-1-2-RELEASE, netbsd-7-1-1-RELEASE, netbsd-7-1, netbsd-7-0-RELEASE, netbsd-7-0-RC3, netbsd-7-0-RC2, netbsd-7-0-RC1, netbsd-7-0-2-RELEASE, netbsd-7-0-1-RELEASE, netbsd-7-0
Changes since 1.7: +17 -19
lines
Pull up following revision(s) (requested by gson in ticket #296):
tests/lib/libm/t_exp.c: revision 1.8
In the exp2_values test case, provide separate expected return values
for the float case, reflecting the actual exp2f() argument value after
rounding to float precision. Fixes PR lib/49256. Thanks to Makoto
Kamada and Tetsuya Isaki for the analysis.
|
/* $NetBSD: t_exp.c,v 1.7.4.1 2014/12/07 14:32:03 martin Exp $ */
/*-
* Copyright (c) 2011 The NetBSD Foundation, Inc.
* All rights reserved.
*
* This code is derived from software contributed to The NetBSD Foundation
* by Jukka Ruohonen.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
* ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
* TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
* BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*/
#include <atf-c.h>
#include <math.h>
#include "t_libm.h"
/* y = exp(x) */
static const struct {
double x;
double y;
double e;
} exp_values[] = {
{ -10, 0.4539992976248485e-4, 1e-4, },
{ -5, 0.6737946999085467e-2, 1e-2, },
{ -1, 0.3678794411714423, 1e-1, },
{ -0.1, 0.9048374180359595, 1e-1, },
{ 0, 1.0000000000000000, 1, },
{ 0.1, 1.1051709180756477, 1, },
{ 1, 2.7182818284590452, 1, },
{ 5, 148.41315910257660, 1e2, },
{ 10, 22026.465794806718, 1e4, },
};
/*
* exp2/exp2f(3)
*/
ATF_LIBM_TEST(exp2_is_nan, "Test exp2(x) == NaN")
{
#ifdef T_LIBM_NAN
T_LIBM_CHECK_NAN(0, exp2, T_LIBM_NAN);
T_LIBM_CHECK_NAN(0, exp2f, T_LIBM_NAN);
#else
atf_tc_skip("no NaN on this machine");
#endif
}
ATF_LIBM_TEST(exp2_is_plus_zero, "Test exp2(x) == +0.0")
{
#ifdef T_LIBM_MINUS_INF
T_LIBM_CHECK_PLUS_ZERO(0, exp2, T_LIBM_MINUS_INF);
T_LIBM_CHECK_PLUS_ZERO(0, exp2f, T_LIBM_MINUS_INF);
#else
atf_tc_skip("no +/-Inf on this machine");
#endif
}
ATF_LIBM_TEST(exp2_powers, "Test exp2(x) is correct for some integer x")
{
static const struct {
double x;
double d_y;
double f_y;
} v[] = {
{ +0.0, 1.0, 1.0 },
{ -0.0, 1.0, 1.0 },
{ 1, 0x1p1, 0x1p1 },
{ 2, 0x1p2, 0x1p2 },
{ 100, 0x1p100, 0x1p100 },
{ 125, 0x1p125, 0x1p125 },
{ 126, 0x1p126, 0x1p126 },
#if __DBL_MAX_EXP__ > 129
{ 127, 0x1p127, 0x1p127 },
#endif
#ifdef T_LIBM_PLUS_INF
{ 128, 0x1p128, T_LIBM_PLUS_INF },
{ 129, 0x1p129, T_LIBM_PLUS_INF },
{ 1000, 0x1p1000, T_LIBM_PLUS_INF },
{ 1020, 0x1p1020, T_LIBM_PLUS_INF },
{ 1023, 0x1p1023, T_LIBM_PLUS_INF },
{ 1024, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF },
{ 1030, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF },
{ 1050, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF },
{ 2000, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF },
{ 16383, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF },
{ 16384, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF },
{ 16385, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF },
#endif
{ -1, 0x1p-1, 0x1p-1 },
{ -2, 0x1p-2, 0x1p-2 },
{ -100, 0x1p-100, 0x1p-100 },
{ -127, 0x1p-127, 0x1p-127 },
{ -128, 0x1p-128, 0x1p-128 },
#if __LDBL_MIN_EXP__ < -129
{ -300, 0x1p-300, 0.0},
{ -400, 0x1p-400, 0.0},
{-1000, 0x1p-1000, 0.0},
{-1022, 0x1p-1022, 0.0},
/* These should be denormal numbers */
{-1023, 0x1p-1023, 0.0},
{-1024, 0x1p-1024, 0.0},
{-1040, 0x1p-1040, 0.0},
{-1060, 0x1p-1060, 0.0},
/* This is the smallest result gcc will allow */
{-1074, 0x1p-1074, 0.0},
#endif
{-1075, 0x0, 0.0},
{-1080, 0x0, 0.0},
{-2000, 0x0, 0.0},
{-16382, 0x0, 0.0},
{-16383, 0x0, 0.0},
{-16384, 0x0, 0.0},
};
unsigned int i;
for (i = 0; i < __arraycount(v); i++) {
T_LIBM_CHECK(i, exp2, v[i].x, v[i].d_y, 0.0);
T_LIBM_CHECK(i, exp2f, v[i].x, v[i].f_y, 0.0);
}
}
ATF_LIBM_TEST(exp2_values, "Test exp2(x) is correct for some x")
{
static const struct {
double x;
double d_y;
float f_y;
double d_eps;
double f_eps;
} v[] = {
#if __DBL_MAX_EXP__ > 128
/* The largest double constant */
{ 0x1.fffffffffffffp9, 0x1.ffffffffffd3ap1023, 0.00,
0x1p969, 0.0 },
/* The largest float constant */
{ 0x1.fffffep6, 0x1.ffff4ep+127, 0x1.ffff4ep+127, 6e30, 0.0 },
#endif
#ifdef T_LIBM_PLUS_INF
{ T_LIBM_PLUS_INF, T_LIBM_PLUS_INF, T_LIBM_PLUS_INF, 0.0, 0.0 },
#endif
/* The few values from the old tests */
/* Results from i386/amd64, d_eps needed on i386 */
/* f_y values calculated using py-mpmath */
{ 1.1, 0x1.125fbee250664p+1, 0x1.125fc0p+1, 0x1p-52, 0x1.8p-22 },
{ 2.2, 0x1.2611186bae675p+2, 0x1.26111ap+2, 0x1p-51, 0x1.8p-21 },
{ 3.3, 0x1.3b2c47bff8328p+3, 0x1.3b2c48p+3, 0x1p-50, 0x1.8p-20 },
{ 4.4, 0x1.51cb453b9536ep+4, 0x1.51cb46p+4, 0x1p-49, 0x1.8p-19 },
{ 5.5, 0x1.6a09e667f3bcdp+5, 0x1.6a09e6p+5, 0x1p-48, 0x1.8p-18 },
{ 6.6, 0x1.8406003b2ae5bp+6, 0x1.8405fep+6, 0x1p-47, 0x1.8p-17 },
{ 7.7, 0x1.9fdf8bcce533ep+7, 0x1.9fdf88p+7, 0x1p-46, 0x1.8p-16 },
{ 8.8, 0x1.bdb8cdadbe124p+8, 0x1.bdb8d2p+8, 0x1p-45, 0x1.8p-15 },
};
unsigned int i;
for (i = 0; i < __arraycount(v); i++) {
T_LIBM_CHECK(i, exp2, v[i].x, v[i].d_y, v[i].d_eps);
if (i > 1)
T_LIBM_CHECK(i, exp2f, v[i].x, v[i].f_y, v[i].f_eps);
}
}
/*
* exp(3)
*/
ATF_TC(exp_nan);
ATF_TC_HEAD(exp_nan, tc)
{
atf_tc_set_md_var(tc, "descr", "Test exp(NaN) == NaN");
}
ATF_TC_BODY(exp_nan, tc)
{
const double x = 0.0L / 0.0L;
if (isnan(exp(x)) == 0)
atf_tc_fail_nonfatal("exp(NaN) != NaN");
}
ATF_TC(exp_inf_neg);
ATF_TC_HEAD(exp_inf_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test exp(-Inf) == +0.0");
}
ATF_TC_BODY(exp_inf_neg, tc)
{
const double x = -1.0L / 0.0L;
double y = exp(x);
if (fabs(y) > 0.0 || signbit(y) != 0)
atf_tc_fail_nonfatal("exp(-Inf) != +0.0");
}
ATF_TC(exp_inf_pos);
ATF_TC_HEAD(exp_inf_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test exp(+Inf) == +Inf");
}
ATF_TC_BODY(exp_inf_pos, tc)
{
const double x = 1.0L / 0.0L;
double y = exp(x);
if (isinf(y) == 0 || signbit(y) != 0)
atf_tc_fail_nonfatal("exp(+Inf) != +Inf");
}
ATF_TC(exp_product);
ATF_TC_HEAD(exp_product, tc)
{
atf_tc_set_md_var(tc, "descr", "Test some selected exp(x)");
}
ATF_TC_BODY(exp_product, tc)
{
double eps;
double x;
double y;
size_t i;
for (i = 0; i < __arraycount(exp_values); i++) {
x = exp_values[i].x;
y = exp_values[i].y;
eps = 1e-15 * exp_values[i].e;
if (fabs(exp(x) - y) > eps)
atf_tc_fail_nonfatal("exp(%0.01f) != %18.18e", x, y);
}
}
ATF_TC(exp_zero_neg);
ATF_TC_HEAD(exp_zero_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test exp(-0.0) == 1.0");
}
ATF_TC_BODY(exp_zero_neg, tc)
{
const double x = -0.0L;
if (fabs(exp(x) - 1.0) > 0.0)
atf_tc_fail_nonfatal("exp(-0.0) != 1.0");
}
ATF_TC(exp_zero_pos);
ATF_TC_HEAD(exp_zero_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test exp(+0.0) == 1.0");
}
ATF_TC_BODY(exp_zero_pos, tc)
{
const double x = 0.0L;
if (fabs(exp(x) - 1.0) > 0.0)
atf_tc_fail_nonfatal("exp(+0.0) != 1.0");
}
/*
* expf(3)
*/
ATF_TC(expf_nan);
ATF_TC_HEAD(expf_nan, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expf(NaN) == NaN");
}
ATF_TC_BODY(expf_nan, tc)
{
const float x = 0.0L / 0.0L;
if (isnan(expf(x)) == 0)
atf_tc_fail_nonfatal("expf(NaN) != NaN");
}
ATF_TC(expf_inf_neg);
ATF_TC_HEAD(expf_inf_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expf(-Inf) == +0.0");
}
ATF_TC_BODY(expf_inf_neg, tc)
{
const float x = -1.0L / 0.0L;
float y = expf(x);
if (fabsf(y) > 0.0 || signbit(y) != 0)
atf_tc_fail_nonfatal("expf(-Inf) != +0.0");
}
ATF_TC(expf_inf_pos);
ATF_TC_HEAD(expf_inf_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expf(+Inf) == +Inf");
}
ATF_TC_BODY(expf_inf_pos, tc)
{
const float x = 1.0L / 0.0L;
float y = expf(x);
if (isinf(y) == 0 || signbit(y) != 0)
atf_tc_fail_nonfatal("expf(+Inf) != +Inf");
}
ATF_TC(expf_product);
ATF_TC_HEAD(expf_product, tc)
{
atf_tc_set_md_var(tc, "descr", "Test some selected expf(x)");
}
ATF_TC_BODY(expf_product, tc)
{
float eps;
float x;
float y;
size_t i;
for (i = 0; i < __arraycount(exp_values); i++) {
x = exp_values[i].x;
y = exp_values[i].y;
eps = 1e-6 * exp_values[i].e;
if (fabsf(expf(x) - y) > eps)
atf_tc_fail_nonfatal("expf(%0.01f) != %18.18e", x, y);
}
}
ATF_TC(expf_zero_neg);
ATF_TC_HEAD(expf_zero_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expf(-0.0) == 1.0");
}
ATF_TC_BODY(expf_zero_neg, tc)
{
const float x = -0.0L;
if (fabsf(expf(x) - 1.0f) > 0.0)
atf_tc_fail_nonfatal("expf(-0.0) != 1.0");
}
ATF_TC(expf_zero_pos);
ATF_TC_HEAD(expf_zero_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expf(+0.0) == 1.0");
}
ATF_TC_BODY(expf_zero_pos, tc)
{
const float x = 0.0L;
if (fabsf(expf(x) - 1.0f) > 0.0)
atf_tc_fail_nonfatal("expf(+0.0) != 1.0");
}
/*
* expm1(3)
*/
ATF_TC(expm1_nan);
ATF_TC_HEAD(expm1_nan, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1(NaN) == NaN");
}
ATF_TC_BODY(expm1_nan, tc)
{
const double x = 0.0L / 0.0L;
if (isnan(expm1(x)) == 0)
atf_tc_fail_nonfatal("expm1(NaN) != NaN");
}
ATF_TC(expm1_inf_neg);
ATF_TC_HEAD(expm1_inf_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1(-Inf) == -1");
}
ATF_TC_BODY(expm1_inf_neg, tc)
{
const double x = -1.0L / 0.0L;
if (expm1(x) != -1.0)
atf_tc_fail_nonfatal("expm1(-Inf) != -1.0");
}
ATF_TC(expm1_inf_pos);
ATF_TC_HEAD(expm1_inf_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1(+Inf) == +Inf");
}
ATF_TC_BODY(expm1_inf_pos, tc)
{
const double x = 1.0L / 0.0L;
double y = expm1(x);
if (isinf(y) == 0 || signbit(y) != 0)
atf_tc_fail_nonfatal("expm1(+Inf) != +Inf");
}
ATF_TC(expm1_zero_neg);
ATF_TC_HEAD(expm1_zero_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1(-0.0) == -0.0");
}
ATF_TC_BODY(expm1_zero_neg, tc)
{
const double x = -0.0L;
double y = expm1(x);
if (fabs(y) > 0.0 || signbit(y) == 0)
atf_tc_fail_nonfatal("expm1(-0.0) != -0.0");
}
ATF_TC(expm1_zero_pos);
ATF_TC_HEAD(expm1_zero_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1(+0.0) == 1.0");
}
ATF_TC_BODY(expm1_zero_pos, tc)
{
const double x = 0.0L;
double y = expm1(x);
if (fabs(y) > 0.0 || signbit(y) != 0)
atf_tc_fail_nonfatal("expm1(+0.0) != +0.0");
}
/*
* expm1f(3)
*/
ATF_TC(expm1f_nan);
ATF_TC_HEAD(expm1f_nan, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1f(NaN) == NaN");
}
ATF_TC_BODY(expm1f_nan, tc)
{
const float x = 0.0L / 0.0L;
if (isnan(expm1f(x)) == 0)
atf_tc_fail_nonfatal("expm1f(NaN) != NaN");
}
ATF_TC(expm1f_inf_neg);
ATF_TC_HEAD(expm1f_inf_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1f(-Inf) == -1");
}
ATF_TC_BODY(expm1f_inf_neg, tc)
{
const float x = -1.0L / 0.0L;
if (expm1f(x) != -1.0)
atf_tc_fail_nonfatal("expm1f(-Inf) != -1.0");
}
ATF_TC(expm1f_inf_pos);
ATF_TC_HEAD(expm1f_inf_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1f(+Inf) == +Inf");
}
ATF_TC_BODY(expm1f_inf_pos, tc)
{
const float x = 1.0L / 0.0L;
float y = expm1f(x);
if (isinf(y) == 0 || signbit(y) != 0)
atf_tc_fail_nonfatal("expm1f(+Inf) != +Inf");
}
ATF_TC(expm1f_zero_neg);
ATF_TC_HEAD(expm1f_zero_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1f(-0.0) == -0.0");
}
ATF_TC_BODY(expm1f_zero_neg, tc)
{
const float x = -0.0L;
float y = expm1f(x);
if (fabsf(y) > 0.0 || signbit(y) == 0)
atf_tc_fail_nonfatal("expm1f(-0.0) != -0.0");
}
ATF_TC(expm1f_zero_pos);
ATF_TC_HEAD(expm1f_zero_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test expm1f(+0.0) == 1.0");
}
ATF_TC_BODY(expm1f_zero_pos, tc)
{
const float x = 0.0L;
float y = expm1f(x);
if (fabsf(y) > 0.0 || signbit(y) != 0)
atf_tc_fail_nonfatal("expm1f(+0.0) != +0.0");
}
ATF_TP_ADD_TCS(tp)
{
ATF_TP_ADD_TC(tp, exp2_is_nan);
ATF_TP_ADD_TC(tp, exp2_is_plus_zero);
ATF_TP_ADD_TC(tp, exp2_values);
ATF_TP_ADD_TC(tp, exp2_powers);
ATF_TP_ADD_TC(tp, exp_nan);
ATF_TP_ADD_TC(tp, exp_inf_neg);
ATF_TP_ADD_TC(tp, exp_inf_pos);
ATF_TP_ADD_TC(tp, exp_product);
ATF_TP_ADD_TC(tp, exp_zero_neg);
ATF_TP_ADD_TC(tp, exp_zero_pos);
ATF_TP_ADD_TC(tp, expf_nan);
ATF_TP_ADD_TC(tp, expf_inf_neg);
ATF_TP_ADD_TC(tp, expf_inf_pos);
ATF_TP_ADD_TC(tp, expf_product);
ATF_TP_ADD_TC(tp, expf_zero_neg);
ATF_TP_ADD_TC(tp, expf_zero_pos);
ATF_TP_ADD_TC(tp, expm1_nan);
ATF_TP_ADD_TC(tp, expm1_inf_neg);
ATF_TP_ADD_TC(tp, expm1_inf_pos);
ATF_TP_ADD_TC(tp, expm1_zero_neg);
ATF_TP_ADD_TC(tp, expm1_zero_pos);
ATF_TP_ADD_TC(tp, expm1f_nan);
ATF_TP_ADD_TC(tp, expm1f_inf_neg);
ATF_TP_ADD_TC(tp, expm1f_inf_pos);
ATF_TP_ADD_TC(tp, expm1f_zero_neg);
ATF_TP_ADD_TC(tp, expm1f_zero_pos);
return atf_no_error();
}
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