/*- * Copyright (c) 2005 David Schultz * 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 __FBSDID("$FreeBSD$"); #include #include #include #include #include #ifdef __i386__ #include #endif #define ALL_STD_EXCEPT (FE_DIVBYZERO | FE_INEXACT | FE_INVALID |\ FE_OVERFLOW | FE_UNDERFLOW) #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); test(idd(nexttoward(INFINITY, DBL_MAX * 2.0L)), DBL_MAX, 0); 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 (actual != expected && !(isnan(actual) && isnan(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); }