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/*-
* Copyright (c) 2005 David Schultz <das@FreeBSD.org>
* All rights reserved.
*
* 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 AUTHOR 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 AUTHOR 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.
*/
/*
* Test the correctness of nextafter{,f,l} and nexttoward{,f,l}.
*/
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
#include <fenv.h>
#include <float.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#ifdef __i386__
#include <ieeefp.h>
#endif
#include "test-utils.h"
#define test(exp, ans, ex) do { \
double __ans = (ans); \
feclearexcept(ALL_STD_EXCEPT); \
_testl(#exp, __LINE__, (exp), __ans, (ex)); \
} while (0)
#define testf(exp, ans, ex) do { \
float __ans = (ans); \
feclearexcept(ALL_STD_EXCEPT); \
_testl(#exp, __LINE__, (exp), __ans, (ex)); \
} while (0)
#define testl(exp, ans, ex) do { \
long double __ans = (ans); \
feclearexcept(ALL_STD_EXCEPT); \
_testl(#exp, __LINE__, (exp), __ans, (ex)); \
} while (0)
#define testboth(arg1, arg2, ans, ex, prec) do { \
test##prec(nextafter##prec((arg1), (arg2)), (ans), (ex)); \
test##prec(nexttoward##prec((arg1), (arg2)), (ans), (ex)); \
} while (0)
#define testall(arg1, arg2, ans, ex) do { \
testboth((arg1), (arg2), (ans), (ex), ); \
testboth((arg1), (arg2), (ans), (ex), f); \
testboth((arg1), (arg2), (ans), (ex), l); \
} while (0)
static void _testl(const char *, int, long double, long double, int);
static double idd(double);
static float idf(float);
int
main(int argc, char *argv[])
{
static const int ex_under = FE_UNDERFLOW | FE_INEXACT; /* shorthand */
static const int ex_over = FE_OVERFLOW | FE_INEXACT;
long double ldbl_small, ldbl_eps, ldbl_max;
printf("1..5\n");
#ifdef __i386__
fpsetprec(FP_PE);
#endif
/*
* We can't use a compile-time constant here because gcc on
* FreeBSD/i386 assumes long doubles are truncated to the
* double format.
*/
ldbl_small = ldexpl(1.0, LDBL_MIN_EXP - LDBL_MANT_DIG);
ldbl_eps = LDBL_EPSILON;
ldbl_max = ldexpl(1.0 - ldbl_eps / 2, LDBL_MAX_EXP);
/*
* Special cases involving zeroes.
*/
#define ztest(prec) \
test##prec(copysign##prec(1.0, nextafter##prec(0.0, -0.0)), -1.0, 0); \
test##prec(copysign##prec(1.0, nextafter##prec(-0.0, 0.0)), 1.0, 0); \
test##prec(copysign##prec(1.0, nexttoward##prec(0.0, -0.0)), -1.0, 0);\
test##prec(copysign##prec(1.0, nexttoward##prec(-0.0, 0.0)), 1.0, 0)
ztest();
ztest(f);
ztest(l);
#undef ztest
#define stest(next, eps, prec) \
test##prec(next(-0.0, 42.0), eps, ex_under); \
test##prec(next(0.0, -42.0), -eps, ex_under); \
test##prec(next(0.0, INFINITY), eps, ex_under); \
test##prec(next(-0.0, -INFINITY), -eps, ex_under)
stest(nextafter, 0x1p-1074, );
stest(nextafterf, 0x1p-149f, f);
stest(nextafterl, ldbl_small, l);
stest(nexttoward, 0x1p-1074, );
stest(nexttowardf, 0x1p-149f, f);
stest(nexttowardl, ldbl_small, l);
#undef stest
printf("ok 1 - next\n");
/*
* `x == y' and NaN tests
*/
testall(42.0, 42.0, 42.0, 0);
testall(-42.0, -42.0, -42.0, 0);
testall(INFINITY, INFINITY, INFINITY, 0);
testall(-INFINITY, -INFINITY, -INFINITY, 0);
testall(NAN, 42.0, NAN, 0);
testall(42.0, NAN, NAN, 0);
testall(NAN, NAN, NAN, 0);
printf("ok 2 - next\n");
/*
* Tests where x is an ordinary normalized number
*/
testboth(1.0, 2.0, 1.0 + DBL_EPSILON, 0, );
testboth(1.0, -INFINITY, 1.0 - DBL_EPSILON/2, 0, );
testboth(1.0, 2.0, 1.0 + FLT_EPSILON, 0, f);
testboth(1.0, -INFINITY, 1.0 - FLT_EPSILON/2, 0, f);
testboth(1.0, 2.0, 1.0 + ldbl_eps, 0, l);
testboth(1.0, -INFINITY, 1.0 - ldbl_eps/2, 0, l);
testboth(-1.0, 2.0, -1.0 + DBL_EPSILON/2, 0, );
testboth(-1.0, -INFINITY, -1.0 - DBL_EPSILON, 0, );
testboth(-1.0, 2.0, -1.0 + FLT_EPSILON/2, 0, f);
testboth(-1.0, -INFINITY, -1.0 - FLT_EPSILON, 0, f);
testboth(-1.0, 2.0, -1.0 + ldbl_eps/2, 0, l);
testboth(-1.0, -INFINITY, -1.0 - ldbl_eps, 0, l);
/* Cases where nextafter(...) != nexttoward(...) */
test(nexttoward(1.0, 1.0 + ldbl_eps), 1.0 + DBL_EPSILON, 0);
testf(nexttowardf(1.0, 1.0 + ldbl_eps), 1.0 + FLT_EPSILON, 0);
testl(nexttowardl(1.0, 1.0 + ldbl_eps), 1.0 + ldbl_eps, 0);
printf("ok 3 - next\n");
/*
* Tests at word boundaries, normalization boundaries, etc.
*/
testboth(0x1.87654ffffffffp+0, INFINITY, 0x1.87655p+0, 0, );
testboth(0x1.87655p+0, -INFINITY, 0x1.87654ffffffffp+0, 0, );
testboth(0x1.fffffffffffffp+0, INFINITY, 0x1p1, 0, );
testboth(0x1p1, -INFINITY, 0x1.fffffffffffffp+0, 0, );
testboth(0x0.fffffffffffffp-1022, INFINITY, 0x1p-1022, 0, );
testboth(0x1p-1022, -INFINITY, 0x0.fffffffffffffp-1022, ex_under, );
testboth(0x1.fffffep0f, INFINITY, 0x1p1, 0, f);
testboth(0x1p1, -INFINITY, 0x1.fffffep0f, 0, f);
testboth(0x0.fffffep-126f, INFINITY, 0x1p-126f, 0, f);
testboth(0x1p-126f, -INFINITY, 0x0.fffffep-126f, ex_under, f);
#if LDBL_MANT_DIG == 53
testboth(0x1.87654ffffffffp+0L, INFINITY, 0x1.87655p+0L, 0, l);
testboth(0x1.87655p+0L, -INFINITY, 0x1.87654ffffffffp+0L, 0, l);
testboth(0x1.fffffffffffffp+0L, INFINITY, 0x1p1L, 0, l);
testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffp+0L, 0, l);
testboth(0x0.fffffffffffffp-1022L, INFINITY, 0x1p-1022L, 0, l);
testboth(0x1p-1022L, -INFINITY, 0x0.fffffffffffffp-1022L, ex_under, l);
#elif LDBL_MANT_DIG == 64 && !defined(__i386)
testboth(0x1.87654321fffffffep+0L, INFINITY, 0x1.87654322p+0L, 0, l);
testboth(0x1.87654322p+0L, -INFINITY, 0x1.87654321fffffffep+0L, 0, l);
testboth(0x1.fffffffffffffffep0L, INFINITY, 0x1p1L, 0, l);
testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffffep0L, 0, l);
testboth(0x0.fffffffffffffffep-16382L, INFINITY, 0x1p-16382L, 0, l);
testboth(0x1p-16382L, -INFINITY,
0x0.fffffffffffffffep-16382L, ex_under, l);
#elif LDBL_MANT_DIG == 113
testboth(0x1.876543210987ffffffffffffffffp+0L, INFINITY,
0x1.876543210988p+0, 0, l);
testboth(0x1.876543210988p+0L, -INFINITY,
0x1.876543210987ffffffffffffffffp+0L, 0, l);
testboth(0x1.ffffffffffffffffffffffffffffp0L, INFINITY, 0x1p1L, 0, l);
testboth(0x1p1L, -INFINITY, 0x1.ffffffffffffffffffffffffffffp0L, 0, l);
testboth(0x0.ffffffffffffffffffffffffffffp-16382L, INFINITY,
0x1p-16382L, 0, l);
testboth(0x1p-16382L, -INFINITY,
0x0.ffffffffffffffffffffffffffffp-16382L, ex_under, l);
#endif
printf("ok 4 - next\n");
/*
* Overflow tests
*/
test(idd(nextafter(DBL_MAX, INFINITY)), INFINITY, ex_over);
test(idd(nextafter(INFINITY, 0.0)), DBL_MAX, 0);
test(idd(nexttoward(DBL_MAX, DBL_MAX * 2.0L)), INFINITY, ex_over);
#if LDBL_MANT_DIG > 53
test(idd(nexttoward(INFINITY, DBL_MAX * 2.0L)), DBL_MAX, 0);
#endif
testf(idf(nextafterf(FLT_MAX, INFINITY)), INFINITY, ex_over);
testf(idf(nextafterf(INFINITY, 0.0)), FLT_MAX, 0);
testf(idf(nexttowardf(FLT_MAX, FLT_MAX * 2.0)), INFINITY, ex_over);
testf(idf(nexttowardf(INFINITY, FLT_MAX * 2.0)), FLT_MAX, 0);
testboth(ldbl_max, INFINITY, INFINITY, ex_over, l);
testboth(INFINITY, 0.0, ldbl_max, 0, l);
printf("ok 5 - next\n");
return (0);
}
static void
_testl(const char *exp, int line, long double actual, long double expected,
int except)
{
int actual_except;
actual_except = fetestexcept(ALL_STD_EXCEPT);
if (!fpequal(actual, expected)) {
fprintf(stderr, "%d: %s returned %La, expecting %La\n",
line, exp, actual, expected);
abort();
}
if (actual_except != except) {
fprintf(stderr, "%d: %s raised 0x%x, expecting 0x%x\n",
line, exp, actual_except, except);
abort();
}
}
/*
* The idd() and idf() routines ensure that doubles and floats are
* converted to their respective types instead of stored in the FPU
* with extra precision.
*/
static double
idd(double x)
{
return (x);
}
static float
idf(float x)
{
return (x);
}
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