/* $NetBSD: t_ldexp.c,v 1.17 2018/11/07 03:59:36 riastradh 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 <sys/cdefs.h>
__RCSID("$NetBSD: t_ldexp.c,v 1.17 2018/11/07 03:59:36 riastradh Exp $");
#include <sys/param.h>
#include <atf-c.h>
#include <float.h>
#include <limits.h>
#include <math.h>
#include <stdio.h>
#include <string.h>
#define SKIP 9999
#define FORMAT "%23.23lg"
static const int exps[] = { 0, 1, -1, 100, -100 };
struct ldexp_test {
double x;
int exp1;
int exp2;
const char *result;
};
struct ldexp_test ldexp_basic[] = {
{ 1.0, 5, SKIP, " 32" },
{ 1.0, 1022, SKIP, "4.4942328371557897693233e+307" },
{ 1.0, 1023, -1, "4.4942328371557897693233e+307" },
{ 1.0, 1023, SKIP, "8.9884656743115795386465e+307" },
{ 1.0, 1022, 1, "8.9884656743115795386465e+307" },
{ 1.0, -1022, 2045, "8.9884656743115795386465e+307" },
{ 1.0, -5, SKIP, " 0.03125" },
{ 1.0, -1021, SKIP, "4.4501477170144027661805e-308" },
{ 1.0, -1022, 1, "4.4501477170144027661805e-308" },
{ 1.0, -1022, SKIP, "2.2250738585072013830902e-308" },
{ 1.0, -1021, -1, "2.2250738585072013830902e-308" },
{ 1.0, 1023, -2045, "2.2250738585072013830902e-308" },
{ 1.0, 1023, -1023, " 1" },
{ 1.0, -1022, 1022, " 1" },
{ 0, 0, 0, NULL }
};
struct ldexp_test ldexp_zero[] = {
{ 0.0, -1, SKIP, " 0" },
{ 0.0, 0, SKIP, " 0" },
{ 0.0, 1, SKIP, " 0" },
{ 0.0, 1024, SKIP, " 0" },
{ 0.0, 1025, SKIP, " 0" },
{ 0.0, -1023, SKIP, " 0" },
{ 0.0, -1024, SKIP, " 0" },
{ 0, 0, 0, NULL }
};
struct ldexp_test ldexp_infinity[] = {
{ 1.0, 1024, -1, " inf" },
{ 1.0, 1024, 0, " inf" },
{ 1.0, 1024, 1, " inf" },
{ -1.0, 1024, -1, " -inf" },
{ -1.0, 1024, 0, " -inf" },
{ -1.0, 1024, 1, " -inf" },
{ 0, 0, 0, NULL }
};
struct ldexp_test ldexp_overflow[] = {
{ 1.0, 1024, SKIP, " inf" },
{ 1.0, 1023, 1, " inf" },
{ 1.0, -1022, 2046, " inf" },
{ 1.0, 1025, SKIP, " inf" },
{ 2.0, INT_MAX,SKIP, " inf" },
{ -1.0, 1024, SKIP, " -inf" },
{ -1.0, 1023, 1, " -inf" },
{ -1.0, -1022, 2046, " -inf" },
{ -1.0, 1025, SKIP, " -inf" },
{ -2.0, INT_MAX,SKIP, " -inf" },
{ 0, 0, 0, NULL }
};
struct ldexp_test ldexp_denormal[] = {
{ 1.0, -1023, SKIP, "1.1125369292536006915451e-308" },
{ 1.0, -1022, -1, "1.1125369292536006915451e-308" },
{ 1.0, 1023, -2046, "1.1125369292536006915451e-308" },
{ 1.0, -1024, SKIP, "5.5626846462680034577256e-309" },
{ 1.0, -1074, SKIP, "4.9406564584124654417657e-324" },
{ -1.0, -1023, SKIP, "-1.1125369292536006915451e-308" },
{ -1.0, -1022, -1, "-1.1125369292536006915451e-308" },
{ -1.0, 1023, -2046, "-1.1125369292536006915451e-308" },
{ -1.0, -1024, SKIP, "-5.5626846462680034577256e-309" },
{ -1.0, -1074, SKIP, "-4.9406564584124654417657e-324" },
{ 0, 0, 0, NULL }
};
struct ldexp_test ldexp_underflow[] = {
{ 1.0, -1075, SKIP, " 0" },
{ 1.0, -1074, -1, " 0" },
{ 1.0, 1023, -2098, " 0" },
{ 1.0, -1076, SKIP, " 0" },
{ -1.0, -1075, SKIP, " -0" },
{ -1.0, -1074, -1, " -0" },
{ -1.0, 1023, -2098, " -0" },
{ -1.0, -1076, SKIP, " -0" },
{ 0, 0, 0, NULL }
};
struct ldexp_test ldexp_denormal_large[] = {
{ 1.0, -1028, 1024, " 0.0625" },
{ 1.0, -1028, 1025, " 0.125" },
{ 1.0, -1028, 1026, " 0.25" },
{ 1.0, -1028, 1027, " 0.5" },
{ 1.0, -1028, 1028, " 1" },
{ 1.0, -1028, 1029, " 2" },
{ 1.0, -1028, 1030, " 4" },
{ 1.0, -1028, 1040, " 4096" },
{ 1.0, -1028, 1050, " 4194304" },
{ 1.0, -1028, 1060, " 4294967296" },
{ 1.0, -1028, 1100, " 4722366482869645213696" },
{ 1.0, -1028, 1200, "5.9863107065073783529623e+51" },
{ 1.0, -1028, 1300, "7.5885503602567541832791e+81" },
{ 1.0, -1028, 1400, "9.6196304190416209014353e+111" },
{ 1.0, -1028, 1500, "1.2194330274671844653834e+142" },
{ 1.0, -1028, 1600, "1.5458150092069033378781e+172" },
{ 1.0, -1028, 1700, "1.9595533242629369747791e+202" },
{ 1.0, -1028, 1800, "2.4840289476811342962384e+232" },
{ 1.0, -1028, 1900, "3.1488807865122869393369e+262" },
{ 1.0, -1028, 2000, "3.9916806190694396233127e+292" },
{ 1.0, -1028, 2046, "2.808895523222368605827e+306" },
{ 1.0, -1028, 2047, "5.6177910464447372116541e+306" },
{ 1.0, -1028, 2048, "1.1235582092889474423308e+307" },
{ 1.0, -1028, 2049, "2.2471164185778948846616e+307" },
{ 1.0, -1028, 2050, "4.4942328371557897693233e+307" },
{ 1.0, -1028, 2051, "8.9884656743115795386465e+307" },
{ 0, 0, 0, NULL }
};
static void
run_test(struct ldexp_test *table)
{
char outbuf[64];
size_t i;
double v;
for (i = 0; table->result != NULL; table++, i++) {
v = ldexp(table->x, table->exp1);
if (table->exp2 != SKIP)
v = ldexp(v, table->exp2);
(void)snprintf(outbuf, sizeof(outbuf), FORMAT, v);
ATF_CHECK_STREQ_MSG(table->result, outbuf,
"Entry %zu:\n\tExp: \"%s\"\n\tAct: \"%s\"",
i, table->result, outbuf);
}
}
/*
* ldexp(3)
*/
ATF_TC(ldexp_exp2);
ATF_TC_HEAD(ldexp_exp2, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexp(x, n) == x * exp2(n)");
}
ATF_TC_BODY(ldexp_exp2, tc)
{
const double n[] = { 1, 2, 3, 10, 50, 100 };
const double eps = DBL_EPSILON;
const double x = 12.0;
size_t i;
for (i = 0; i < __arraycount(n); i++) {
double y = ldexp(x, n[i]);
if (!(fabs((y - (x * exp2(n[i])))/y) <= eps)) {
atf_tc_fail_nonfatal("ldexp(%.17g, %.17g) = %.17g "
"!= %.17g * exp2(%.17g) = %.17g",
x, n[i], y, x, n[i], (x * exp2(n[i])));
}
}
}
ATF_TC(ldexp_nan);
ATF_TC_HEAD(ldexp_nan, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexp(NaN) == NaN");
}
ATF_TC_BODY(ldexp_nan, tc)
{
const double x = 0.0L / 0.0L;
double y;
size_t i;
ATF_REQUIRE(isnan(x) != 0);
for (i = 0; i < __arraycount(exps); i++) {
y = ldexp(x, exps[i]);
ATF_CHECK(isnan(y) != 0);
}
}
ATF_TC(ldexp_inf_neg);
ATF_TC_HEAD(ldexp_inf_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexp(-Inf) == -Inf");
}
ATF_TC_BODY(ldexp_inf_neg, tc)
{
const double x = -1.0L / 0.0L;
size_t i;
for (i = 0; i < __arraycount(exps); i++)
ATF_CHECK(ldexp(x, exps[i]) == x);
}
ATF_TC(ldexp_inf_pos);
ATF_TC_HEAD(ldexp_inf_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexp(+Inf) == +Inf");
}
ATF_TC_BODY(ldexp_inf_pos, tc)
{
const double x = 1.0L / 0.0L;
size_t i;
for (i = 0; i < __arraycount(exps); i++)
ATF_CHECK(ldexp(x, exps[i]) == x);
}
ATF_TC(ldexp_zero_neg);
ATF_TC_HEAD(ldexp_zero_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexp(-0.0) == -0.0");
}
ATF_TC_BODY(ldexp_zero_neg, tc)
{
const double x = -0.0L;
double y;
size_t i;
ATF_REQUIRE(signbit(x) != 0);
for (i = 0; i < __arraycount(exps); i++) {
y = ldexp(x, exps[i]);
ATF_CHECK(x == y);
ATF_CHECK(signbit(y) != 0);
}
}
ATF_TC(ldexp_zero_pos);
ATF_TC_HEAD(ldexp_zero_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexp(+0.0) == +0.0");
}
ATF_TC_BODY(ldexp_zero_pos, tc)
{
const double x = 0.0L;
double y;
size_t i;
ATF_REQUIRE(signbit(x) == 0);
for (i = 0; i < __arraycount(exps); i++) {
y = ldexp(x, exps[i]);
ATF_CHECK(x == y);
ATF_CHECK(signbit(y) == 0);
}
}
/*
* ldexpf(3)
*/
ATF_TC(ldexpf_exp2f);
ATF_TC_HEAD(ldexpf_exp2f, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexpf(x, n) == x * exp2f(n)");
}
ATF_TC_BODY(ldexpf_exp2f, tc)
{
const float n[] = { 1, 2, 3, 10, 50, 100 };
const float eps = FLT_EPSILON;
const float x = 12.0;
size_t i;
for (i = 0; i < __arraycount(n); i++) {
float y = ldexpf(x, n[i]);
if (!(fabsf((y - (x * exp2f(n[i])))/y) <= eps)) {
atf_tc_fail_nonfatal("ldexpf(%.17g, %.17g) = %.17g "
"!= %.17g * exp2f(%.17g) = %.17g",
x, n[i], y, x, n[i], (x * exp2f(n[i])));
}
}
}
ATF_TC(ldexpf_nan);
ATF_TC_HEAD(ldexpf_nan, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexpf(NaN) == NaN");
}
ATF_TC_BODY(ldexpf_nan, tc)
{
const float x = 0.0L / 0.0L;
float y;
size_t i;
ATF_REQUIRE(isnan(x) != 0);
for (i = 0; i < __arraycount(exps); i++) {
y = ldexpf(x, exps[i]);
ATF_CHECK(isnan(y) != 0);
}
}
ATF_TC(ldexpf_inf_neg);
ATF_TC_HEAD(ldexpf_inf_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexpf(-Inf) == -Inf");
}
ATF_TC_BODY(ldexpf_inf_neg, tc)
{
const float x = -1.0L / 0.0L;
size_t i;
for (i = 0; i < __arraycount(exps); i++)
ATF_CHECK(ldexpf(x, exps[i]) == x);
}
ATF_TC(ldexpf_inf_pos);
ATF_TC_HEAD(ldexpf_inf_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexpf(+Inf) == +Inf");
}
ATF_TC_BODY(ldexpf_inf_pos, tc)
{
const float x = 1.0L / 0.0L;
size_t i;
for (i = 0; i < __arraycount(exps); i++)
ATF_CHECK(ldexpf(x, exps[i]) == x);
}
ATF_TC(ldexpf_zero_neg);
ATF_TC_HEAD(ldexpf_zero_neg, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexpf(-0.0) == -0.0");
}
ATF_TC_BODY(ldexpf_zero_neg, tc)
{
const float x = -0.0L;
float y;
size_t i;
ATF_REQUIRE(signbit(x) != 0);
for (i = 0; i < __arraycount(exps); i++) {
y = ldexpf(x, exps[i]);
ATF_CHECK(x == y);
ATF_CHECK(signbit(y) != 0);
}
}
ATF_TC(ldexpf_zero_pos);
ATF_TC_HEAD(ldexpf_zero_pos, tc)
{
atf_tc_set_md_var(tc, "descr", "Test ldexpf(+0.0) == +0.0");
}
ATF_TC_BODY(ldexpf_zero_pos, tc)
{
const float x = 0.0L;
float y;
size_t i;
ATF_REQUIRE(signbit(x) == 0);
for (i = 0; i < __arraycount(exps); i++) {
y = ldexpf(x, exps[i]);
ATF_CHECK(x == y);
ATF_CHECK(signbit(y) == 0);
}
}
#define TEST(name, desc) \
ATF_TC(name); \
ATF_TC_HEAD(name, tc) \
{ \
\
atf_tc_set_md_var(tc, "descr", \
"Test ldexp(3) for " ___STRING(desc)); \
} \
ATF_TC_BODY(name, tc) \
{ \
if (strcmp("vax", MACHINE_ARCH) == 0) \
atf_tc_skip("Test not valid for " MACHINE_ARCH); \
run_test(name); \
}
TEST(ldexp_basic, basics)
TEST(ldexp_zero, zero)
TEST(ldexp_infinity, infinity)
TEST(ldexp_overflow, overflow)
TEST(ldexp_denormal, denormal)
TEST(ldexp_denormal_large, large)
TEST(ldexp_underflow, underflow)
ATF_TP_ADD_TCS(tp)
{
ATF_TP_ADD_TC(tp, ldexp_basic);
ATF_TP_ADD_TC(tp, ldexp_zero);
ATF_TP_ADD_TC(tp, ldexp_infinity);
ATF_TP_ADD_TC(tp, ldexp_overflow);
ATF_TP_ADD_TC(tp, ldexp_denormal);
ATF_TP_ADD_TC(tp, ldexp_underflow);
ATF_TP_ADD_TC(tp, ldexp_denormal_large);
ATF_TP_ADD_TC(tp, ldexp_exp2);
ATF_TP_ADD_TC(tp, ldexp_nan);
ATF_TP_ADD_TC(tp, ldexp_inf_neg);
ATF_TP_ADD_TC(tp, ldexp_inf_pos);
ATF_TP_ADD_TC(tp, ldexp_zero_neg);
ATF_TP_ADD_TC(tp, ldexp_zero_pos);
ATF_TP_ADD_TC(tp, ldexpf_exp2f);
ATF_TP_ADD_TC(tp, ldexpf_nan);
ATF_TP_ADD_TC(tp, ldexpf_inf_neg);
ATF_TP_ADD_TC(tp, ldexpf_inf_pos);
ATF_TP_ADD_TC(tp, ldexpf_zero_neg);
ATF_TP_ADD_TC(tp, ldexpf_zero_pos);
return atf_no_error();
}