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