1/*- 2 * Copyright (c) 2005 David Schultz <das@FreeBSD.org> 3 * All rights reserved. 4 * 5 * Redistribution and use in source and binary forms, with or without 6 * modification, are permitted provided that the following conditions 7 * are met: 8 * 1. Redistributions of source code must retain the above copyright 9 * notice, this list of conditions and the following disclaimer. 10 * 2. Redistributions in binary form must reproduce the above copyright 11 * notice, this list of conditions and the following disclaimer in the 12 * documentation and/or other materials provided with the distribution. 13 * 14 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 15 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 16 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 17 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 18 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 19 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 24 * SUCH DAMAGE. 25 */ 26 27/* 28 * Test the correctness of nextafter{,f,l} and nexttoward{,f,l}. 29 */ 30 31#include <sys/cdefs.h> 32#include <fenv.h> 33#include <float.h> 34#include <math.h> 35#include <stdio.h> 36#include <stdlib.h> 37 38#ifdef __i386__ 39#include <ieeefp.h> 40#endif 41 42#include "test-utils.h" 43 44#define test(exp, ans, ex) do { \ 45 double __ans = (ans); \ 46 feclearexcept(ALL_STD_EXCEPT); \ 47 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 48} while (0) 49#define testf(exp, ans, ex) do { \ 50 float __ans = (ans); \ 51 feclearexcept(ALL_STD_EXCEPT); \ 52 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 53} while (0) 54#define testl(exp, ans, ex) do { \ 55 long double __ans = (ans); \ 56 feclearexcept(ALL_STD_EXCEPT); \ 57 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 58} while (0) 59#define testboth(arg1, arg2, ans, ex, prec) do { \ 60 test##prec(nextafter##prec((arg1), (arg2)), (ans), (ex)); \ 61 test##prec(nexttoward##prec((arg1), (arg2)), (ans), (ex)); \ 62} while (0) 63#define testall(arg1, arg2, ans, ex) do { \ 64 testboth((arg1), (arg2), (ans), (ex), ); \ 65 testboth((arg1), (arg2), (ans), (ex), f); \ 66 testboth((arg1), (arg2), (ans), (ex), l); \ 67} while (0) 68 69static void _testl(const char *, int, long double, long double, int); 70static double idd(double); 71static float idf(float); 72 73static const int ex_under = FE_UNDERFLOW | FE_INEXACT; /* shorthand */ 74static const int ex_over = FE_OVERFLOW | FE_INEXACT; 75static const long double ldbl_eps = LDBL_EPSILON; 76 77 78 79ATF_TC_WITHOUT_HEAD(zeros); 80ATF_TC_BODY(zeros, tc) 81{ 82 long double ldbl_small; 83 84#ifdef __i386__ 85 fpsetprec(FP_PE); 86#endif 87 /* 88 * We can't use a compile-time constant here because gcc on 89 * FreeBSD/i386 assumes long doubles are truncated to the 90 * double format. 91 */ 92 ldbl_small = ldexpl(1.0, LDBL_MIN_EXP - LDBL_MANT_DIG); 93 94 /* 95 * Special cases involving zeroes. 96 */ 97#define ztest(prec) \ 98 test##prec(copysign##prec(1.0, nextafter##prec(0.0, -0.0)), -1.0, 0); \ 99 test##prec(copysign##prec(1.0, nextafter##prec(-0.0, 0.0)), 1.0, 0); \ 100 test##prec(copysign##prec(1.0, nexttoward##prec(0.0, -0.0)), -1.0, 0);\ 101 test##prec(copysign##prec(1.0, nexttoward##prec(-0.0, 0.0)), 1.0, 0) 102 103 ztest(); 104 ztest(f); 105 ztest(l); 106#undef ztest 107 108#define stest(next, eps, prec) \ 109 test##prec(next(-0.0, 42.0), eps, ex_under); \ 110 test##prec(next(0.0, -42.0), -eps, ex_under); \ 111 test##prec(next(0.0, INFINITY), eps, ex_under); \ 112 test##prec(next(-0.0, -INFINITY), -eps, ex_under) 113 114 stest(nextafter, 0x1p-1074, ); 115 stest(nextafterf, 0x1p-149f, f); 116 stest(nextafterl, ldbl_small, l); 117 stest(nexttoward, 0x1p-1074, ); 118 stest(nexttowardf, 0x1p-149f, f); 119 stest(nexttowardl, ldbl_small, l); 120#undef stest 121} 122 123ATF_TC_WITHOUT_HEAD(eq_and_nan); 124ATF_TC_BODY(eq_and_nan, tc) 125{ 126 /* 127 * `x == y' and NaN tests 128 */ 129 testall(42.0, 42.0, 42.0, 0); 130 testall(-42.0, -42.0, -42.0, 0); 131 testall(INFINITY, INFINITY, INFINITY, 0); 132 testall(-INFINITY, -INFINITY, -INFINITY, 0); 133 testall(NAN, 42.0, NAN, 0); 134 testall(42.0, NAN, NAN, 0); 135 testall(NAN, NAN, NAN, 0); 136} 137 138ATF_TC_WITHOUT_HEAD(ordinary); 139ATF_TC_BODY(ordinary, tc) 140{ 141 /* 142 * Tests where x is an ordinary normalized number 143 */ 144 testboth(1.0, 2.0, 1.0 + DBL_EPSILON, 0, ); 145 testboth(1.0, -INFINITY, 1.0 - DBL_EPSILON / 2, 0, ); 146 testboth(1.0, 2.0, 1.0 + FLT_EPSILON, 0, f); 147 testboth(1.0, -INFINITY, 1.0 - FLT_EPSILON / 2, 0, f); 148 testboth(1.0, 2.0, 1.0 + ldbl_eps, 0, l); 149 testboth(1.0, -INFINITY, 1.0 - ldbl_eps / 2, 0, l); 150 151 testboth(-1.0, 2.0, -1.0 + DBL_EPSILON / 2, 0, ); 152 testboth(-1.0, -INFINITY, -1.0 - DBL_EPSILON, 0, ); 153 testboth(-1.0, 2.0, -1.0 + FLT_EPSILON / 2, 0, f); 154 testboth(-1.0, -INFINITY, -1.0 - FLT_EPSILON, 0, f); 155 testboth(-1.0, 2.0, -1.0 + ldbl_eps / 2, 0, l); 156 testboth(-1.0, -INFINITY, -1.0 - ldbl_eps, 0, l); 157 158 /* Cases where nextafter(...) != nexttoward(...) */ 159 test(nexttoward(1.0, 1.0 + ldbl_eps), 1.0 + DBL_EPSILON, 0); 160 testf(nexttowardf(1.0, 1.0 + ldbl_eps), 1.0 + FLT_EPSILON, 0); 161 testl(nexttowardl(1.0, 1.0 + ldbl_eps), 1.0 + ldbl_eps, 0); 162} 163 164ATF_TC_WITHOUT_HEAD(boundaries); 165ATF_TC_BODY(boundaries, tc) 166{ 167 /* 168 * Tests at word boundaries, normalization boundaries, etc. 169 */ 170 testboth(0x1.87654ffffffffp+0, INFINITY, 0x1.87655p+0, 0, ); 171 testboth(0x1.87655p+0, -INFINITY, 0x1.87654ffffffffp+0, 0, ); 172 testboth(0x1.fffffffffffffp+0, INFINITY, 0x1p1, 0, ); 173 testboth(0x1p1, -INFINITY, 0x1.fffffffffffffp+0, 0, ); 174 testboth(0x0.fffffffffffffp-1022, INFINITY, 0x1p-1022, 0, ); 175 testboth(0x1p-1022, -INFINITY, 0x0.fffffffffffffp-1022, ex_under, ); 176 177 testboth(0x1.fffffep0f, INFINITY, 0x1p1, 0, f); 178 testboth(0x1p1, -INFINITY, 0x1.fffffep0f, 0, f); 179 testboth(0x0.fffffep-126f, INFINITY, 0x1p-126f, 0, f); 180 testboth(0x1p-126f, -INFINITY, 0x0.fffffep-126f, ex_under, f); 181 182#if LDBL_MANT_DIG == 53 183 testboth(0x1.87654ffffffffp+0L, INFINITY, 0x1.87655p+0L, 0, l); 184 testboth(0x1.87655p+0L, -INFINITY, 0x1.87654ffffffffp+0L, 0, l); 185 testboth(0x1.fffffffffffffp+0L, INFINITY, 0x1p1L, 0, l); 186 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffp+0L, 0, l); 187 testboth(0x0.fffffffffffffp-1022L, INFINITY, 0x1p-1022L, 0, l); 188 testboth(0x1p-1022L, -INFINITY, 0x0.fffffffffffffp-1022L, ex_under, l); 189#elif LDBL_MANT_DIG == 64 && !defined(__i386) 190 testboth(0x1.87654321fffffffep+0L, INFINITY, 0x1.87654322p+0L, 0, l); 191 testboth(0x1.87654322p+0L, -INFINITY, 0x1.87654321fffffffep+0L, 0, l); 192 testboth(0x1.fffffffffffffffep0L, INFINITY, 0x1p1L, 0, l); 193 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffffep0L, 0, l); 194 testboth(0x0.fffffffffffffffep-16382L, INFINITY, 0x1p-16382L, 0, l); 195 testboth(0x1p-16382L, -INFINITY, 196 0x0.fffffffffffffffep-16382L, ex_under, l); 197#elif LDBL_MANT_DIG == 113 198 testboth(0x1.876543210987ffffffffffffffffp+0L, INFINITY, 199 0x1.876543210988p+0, 0, l); 200 testboth(0x1.876543210988p+0L, -INFINITY, 201 0x1.876543210987ffffffffffffffffp+0L, 0, l); 202 testboth(0x1.ffffffffffffffffffffffffffffp0L, INFINITY, 0x1p1L, 0, l); 203 testboth(0x1p1L, -INFINITY, 0x1.ffffffffffffffffffffffffffffp0L, 0, l); 204 testboth(0x0.ffffffffffffffffffffffffffffp-16382L, INFINITY, 205 0x1p-16382L, 0, l); 206 testboth(0x1p-16382L, -INFINITY, 207 0x0.ffffffffffffffffffffffffffffp-16382L, ex_under, l); 208#endif 209} 210 211ATF_TC_WITHOUT_HEAD(overflow); 212ATF_TC_BODY(overflow, tc) 213{ 214 long double ldbl_max; 215 /* 216 * We can't use a compile-time constant here because gcc on 217 * FreeBSD/i386 assumes long doubles are truncated to the 218 * double format. 219 */ 220 ldbl_max = ldexpl(1.0 - ldbl_eps / 2, LDBL_MAX_EXP); 221 222 /* 223 * Overflow tests 224 */ 225 test(idd(nextafter(DBL_MAX, INFINITY)), INFINITY, ex_over); 226 test(idd(nextafter(INFINITY, 0.0)), DBL_MAX, 0); 227 test(idd(nexttoward(DBL_MAX, DBL_MAX * 2.0L)), INFINITY, ex_over); 228#if LDBL_MANT_DIG > 53 229 test(idd(nexttoward(INFINITY, DBL_MAX * 2.0L)), DBL_MAX, 0); 230#endif 231 232 testf(idf(nextafterf(FLT_MAX, INFINITY)), INFINITY, ex_over); 233 testf(idf(nextafterf(INFINITY, 0.0)), FLT_MAX, 0); 234 testf(idf(nexttowardf(FLT_MAX, FLT_MAX * 2.0)), INFINITY, ex_over); 235 testf(idf(nexttowardf(INFINITY, FLT_MAX * 2.0)), FLT_MAX, 0); 236 237 testboth(ldbl_max, INFINITY, INFINITY, ex_over, l); 238 testboth(INFINITY, 0.0, ldbl_max, 0, l); 239} 240 241static void 242_testl(const char *exp, int line, long double actual, long double expected, 243 int except) 244{ 245 int actual_except; 246 247 actual_except = fetestexcept(ALL_STD_EXCEPT); 248 if (!fpequal_cs(actual, expected, true)) { 249 atf_tc_fail_check(__FILE__, line, 250 "%s returned %La, expecting %La\n", exp, actual, expected); 251 } 252 if (actual_except != except) { 253 atf_tc_fail_check(__FILE__, line, 254 "%s raised 0x%x, expecting 0x%x\n", exp, actual_except, 255 except); 256 } 257} 258 259/* 260 * The idd() and idf() routines ensure that doubles and floats are 261 * converted to their respective types instead of stored in the FPU 262 * with extra precision. 263 */ 264static double 265idd(double x) 266{ 267 return (x); 268} 269 270static float 271idf(float x) 272{ 273 return (x); 274} 275 276ATF_TP_ADD_TCS(tp) 277{ 278 ATF_TP_ADD_TC(tp, zeros); 279 ATF_TP_ADD_TC(tp, ordinary); 280 ATF_TP_ADD_TC(tp, eq_and_nan); 281 ATF_TP_ADD_TC(tp, boundaries); 282 ATF_TP_ADD_TC(tp, overflow); 283 284 return (atf_no_error()); 285} 286