1/* $OpenBSD: next_test.c,v 1.2 2021/12/13 18:04:28 deraadt Exp $ */ 2/*- 3 * Copyright (c) 2005 David Schultz <das@FreeBSD.org> 4 * All rights reserved. 5 * 6 * Redistribution and use in source and binary forms, with or without 7 * modification, are permitted provided that the following conditions 8 * are met: 9 * 1. Redistributions of source code must retain the above copyright 10 * notice, this list of conditions and the following disclaimer. 11 * 2. Redistributions in binary form must reproduce the above copyright 12 * notice, this list of conditions and the following disclaimer in the 13 * documentation and/or other materials provided with the distribution. 14 * 15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 16 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 18 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 19 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 20 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 21 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 22 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 23 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 24 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 25 * SUCH DAMAGE. 26 */ 27 28#include "macros.h" 29 30/* 31 * Test the correctness of nextafter{,f,l} and nexttoward{,f,l}. 32 */ 33 34#include <fenv.h> 35#include <float.h> 36#include <math.h> 37#include <stdio.h> 38#include <stdlib.h> 39 40#ifdef __i386__ 41#include <ieeefp.h> 42#endif 43 44#include "test-utils.h" 45 46#define test(exp, ans, ex) do { \ 47 double __ans = (ans); \ 48 feclearexcept(ALL_STD_EXCEPT); \ 49 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 50} while (0) 51#define testf(exp, ans, ex) do { \ 52 float __ans = (ans); \ 53 feclearexcept(ALL_STD_EXCEPT); \ 54 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 55} while (0) 56#define testl(exp, ans, ex) do { \ 57 long double __ans = (ans); \ 58 feclearexcept(ALL_STD_EXCEPT); \ 59 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 60} while (0) 61#define testboth(arg1, arg2, ans, ex, prec) do { \ 62 test##prec(nextafter##prec((arg1), (arg2)), (ans), (ex)); \ 63 test##prec(nexttoward##prec((arg1), (arg2)), (ans), (ex)); \ 64} while (0) 65#define testall(arg1, arg2, ans, ex) do { \ 66 testboth((arg1), (arg2), (ans), (ex), ); \ 67 testboth((arg1), (arg2), (ans), (ex), f); \ 68 testboth((arg1), (arg2), (ans), (ex), l); \ 69} while (0) 70 71static void _testl(const char *, int, long double, long double, int); 72static double idd(double); 73static float idf(float); 74 75static const int ex_under = FE_UNDERFLOW | FE_INEXACT; /* shorthand */ 76static const int ex_over = FE_OVERFLOW | FE_INEXACT; 77static const long double ldbl_eps = LDBL_EPSILON; 78 79 80 81ATF_TC_WITHOUT_HEAD(zeros); 82ATF_TC_BODY(zeros, tc) 83{ 84 long double ldbl_small; 85 86#ifndef __OpenBSD__ 87#ifdef __i386__ 88 fpsetprec(FP_PE); 89#endif 90#endif 91 /* 92 * We can't use a compile-time constant here because gcc on 93 * FreeBSD/i386 assumes long doubles are truncated to the 94 * double format. 95 */ 96 ldbl_small = ldexpl(1.0, LDBL_MIN_EXP - LDBL_MANT_DIG); 97 98 /* 99 * Special cases involving zeroes. 100 */ 101#define ztest(prec) \ 102 test##prec(copysign##prec(1.0, nextafter##prec(0.0, -0.0)), -1.0, 0); \ 103 test##prec(copysign##prec(1.0, nextafter##prec(-0.0, 0.0)), 1.0, 0); \ 104 test##prec(copysign##prec(1.0, nexttoward##prec(0.0, -0.0)), -1.0, 0);\ 105 test##prec(copysign##prec(1.0, nexttoward##prec(-0.0, 0.0)), 1.0, 0) 106 107 ztest(); 108 ztest(f); 109 ztest(l); 110#undef ztest 111 112#define stest(next, eps, prec) \ 113 test##prec(next(-0.0, 42.0), eps, ex_under); \ 114 test##prec(next(0.0, -42.0), -eps, ex_under); \ 115 test##prec(next(0.0, INFINITY), eps, ex_under); \ 116 test##prec(next(-0.0, -INFINITY), -eps, ex_under) 117 118 stest(nextafter, 0x1p-1074, ); 119 stest(nextafterf, 0x1p-149f, f); 120 stest(nextafterl, ldbl_small, l); 121 stest(nexttoward, 0x1p-1074, ); 122 stest(nexttowardf, 0x1p-149f, f); 123 stest(nexttowardl, ldbl_small, l); 124#undef stest 125} 126 127ATF_TC_WITHOUT_HEAD(eq_and_nan); 128ATF_TC_BODY(eq_and_nan, tc) 129{ 130 /* 131 * `x == y' and NaN tests 132 */ 133 testall(42.0, 42.0, 42.0, 0); 134 testall(-42.0, -42.0, -42.0, 0); 135 testall(INFINITY, INFINITY, INFINITY, 0); 136 testall(-INFINITY, -INFINITY, -INFINITY, 0); 137 testall(NAN, 42.0, NAN, 0); 138 testall(42.0, NAN, NAN, 0); 139 testall(NAN, NAN, NAN, 0); 140} 141 142ATF_TC_WITHOUT_HEAD(ordinary); 143ATF_TC_BODY(ordinary, tc) 144{ 145 /* 146 * Tests where x is an ordinary normalized number 147 */ 148 testboth(1.0, 2.0, 1.0 + DBL_EPSILON, 0, ); 149 testboth(1.0, -INFINITY, 1.0 - DBL_EPSILON / 2, 0, ); 150 testboth(1.0, 2.0, 1.0 + FLT_EPSILON, 0, f); 151 testboth(1.0, -INFINITY, 1.0 - FLT_EPSILON / 2, 0, f); 152 testboth(1.0, 2.0, 1.0 + ldbl_eps, 0, l); 153 testboth(1.0, -INFINITY, 1.0 - ldbl_eps / 2, 0, l); 154 155 testboth(-1.0, 2.0, -1.0 + DBL_EPSILON / 2, 0, ); 156 testboth(-1.0, -INFINITY, -1.0 - DBL_EPSILON, 0, ); 157 testboth(-1.0, 2.0, -1.0 + FLT_EPSILON / 2, 0, f); 158 testboth(-1.0, -INFINITY, -1.0 - FLT_EPSILON, 0, f); 159 testboth(-1.0, 2.0, -1.0 + ldbl_eps / 2, 0, l); 160 testboth(-1.0, -INFINITY, -1.0 - ldbl_eps, 0, l); 161 162 /* Cases where nextafter(...) != nexttoward(...) */ 163 test(nexttoward(1.0, 1.0 + ldbl_eps), 1.0 + DBL_EPSILON, 0); 164 testf(nexttowardf(1.0, 1.0 + ldbl_eps), 1.0 + FLT_EPSILON, 0); 165 testl(nexttowardl(1.0, 1.0 + ldbl_eps), 1.0 + ldbl_eps, 0); 166} 167 168ATF_TC_WITHOUT_HEAD(boundaries); 169ATF_TC_BODY(boundaries, tc) 170{ 171 /* 172 * Tests at word boundaries, normalization boundaries, etc. 173 */ 174 testboth(0x1.87654ffffffffp+0, INFINITY, 0x1.87655p+0, 0, ); 175 testboth(0x1.87655p+0, -INFINITY, 0x1.87654ffffffffp+0, 0, ); 176 testboth(0x1.fffffffffffffp+0, INFINITY, 0x1p1, 0, ); 177 testboth(0x1p1, -INFINITY, 0x1.fffffffffffffp+0, 0, ); 178 testboth(0x0.fffffffffffffp-1022, INFINITY, 0x1p-1022, 0, ); 179 testboth(0x1p-1022, -INFINITY, 0x0.fffffffffffffp-1022, ex_under, ); 180 181 testboth(0x1.fffffep0f, INFINITY, 0x1p1, 0, f); 182 testboth(0x1p1, -INFINITY, 0x1.fffffep0f, 0, f); 183 testboth(0x0.fffffep-126f, INFINITY, 0x1p-126f, 0, f); 184 testboth(0x1p-126f, -INFINITY, 0x0.fffffep-126f, ex_under, f); 185 186#if LDBL_MANT_DIG == 53 187 testboth(0x1.87654ffffffffp+0L, INFINITY, 0x1.87655p+0L, 0, l); 188 testboth(0x1.87655p+0L, -INFINITY, 0x1.87654ffffffffp+0L, 0, l); 189 testboth(0x1.fffffffffffffp+0L, INFINITY, 0x1p1L, 0, l); 190 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffp+0L, 0, l); 191 testboth(0x0.fffffffffffffp-1022L, INFINITY, 0x1p-1022L, 0, l); 192 testboth(0x1p-1022L, -INFINITY, 0x0.fffffffffffffp-1022L, ex_under, l); 193#elif LDBL_MANT_DIG == 64 && !defined(__i386) 194 testboth(0x1.87654321fffffffep+0L, INFINITY, 0x1.87654322p+0L, 0, l); 195 testboth(0x1.87654322p+0L, -INFINITY, 0x1.87654321fffffffep+0L, 0, l); 196 testboth(0x1.fffffffffffffffep0L, INFINITY, 0x1p1L, 0, l); 197 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffffep0L, 0, l); 198 testboth(0x0.fffffffffffffffep-16382L, INFINITY, 0x1p-16382L, 0, l); 199 testboth(0x1p-16382L, -INFINITY, 200 0x0.fffffffffffffffep-16382L, ex_under, l); 201#elif LDBL_MANT_DIG == 113 202 testboth(0x1.876543210987ffffffffffffffffp+0L, INFINITY, 203 0x1.876543210988p+0, 0, l); 204 testboth(0x1.876543210988p+0L, -INFINITY, 205 0x1.876543210987ffffffffffffffffp+0L, 0, l); 206 testboth(0x1.ffffffffffffffffffffffffffffp0L, INFINITY, 0x1p1L, 0, l); 207 testboth(0x1p1L, -INFINITY, 0x1.ffffffffffffffffffffffffffffp0L, 0, l); 208 testboth(0x0.ffffffffffffffffffffffffffffp-16382L, INFINITY, 209 0x1p-16382L, 0, l); 210 testboth(0x1p-16382L, -INFINITY, 211 0x0.ffffffffffffffffffffffffffffp-16382L, ex_under, l); 212#endif 213} 214 215ATF_TC_WITHOUT_HEAD(overflow); 216ATF_TC_BODY(overflow, tc) 217{ 218 long double ldbl_max; 219 /* 220 * We can't use a compile-time constant here because gcc on 221 * FreeBSD/i386 assumes long doubles are truncated to the 222 * double format. 223 */ 224 ldbl_max = ldexpl(1.0 - ldbl_eps / 2, LDBL_MAX_EXP); 225 226 /* 227 * Overflow tests 228 */ 229 test(idd(nextafter(DBL_MAX, INFINITY)), INFINITY, ex_over); 230 test(idd(nextafter(INFINITY, 0.0)), DBL_MAX, 0); 231 test(idd(nexttoward(DBL_MAX, DBL_MAX * 2.0L)), INFINITY, ex_over); 232#if LDBL_MANT_DIG > 53 233 test(idd(nexttoward(INFINITY, DBL_MAX * 2.0L)), DBL_MAX, 0); 234#endif 235 236 testf(idf(nextafterf(FLT_MAX, INFINITY)), INFINITY, ex_over); 237 testf(idf(nextafterf(INFINITY, 0.0)), FLT_MAX, 0); 238 testf(idf(nexttowardf(FLT_MAX, FLT_MAX * 2.0)), INFINITY, ex_over); 239 testf(idf(nexttowardf(INFINITY, FLT_MAX * 2.0)), FLT_MAX, 0); 240 241 testboth(ldbl_max, INFINITY, INFINITY, ex_over, l); 242 testboth(INFINITY, 0.0, ldbl_max, 0, l); 243} 244 245static void 246_testl(const char *exp, int line, long double actual, long double expected, 247 int except) 248{ 249 int actual_except; 250 251 actual_except = fetestexcept(ALL_STD_EXCEPT); 252 if (!fpequal_cs(actual, expected, true)) { 253 atf_tc_fail_check(__FILE__, line, 254 "%s returned %La, expecting %La\n", exp, actual, expected); 255 } 256 if (actual_except != except) { 257 atf_tc_fail_check(__FILE__, line, 258 "%s raised 0x%x, expecting 0x%x\n", exp, actual_except, 259 except); 260 } 261} 262 263/* 264 * The idd() and idf() routines ensure that doubles and floats are 265 * converted to their respective types instead of stored in the FPU 266 * with extra precision. 267 */ 268static double 269idd(double x) 270{ 271 return (x); 272} 273 274static float 275idf(float x) 276{ 277 return (x); 278} 279 280ATF_TP_ADD_TCS(tp) 281{ 282 ATF_TP_ADD_TC(tp, zeros); 283 ATF_TP_ADD_TC(tp, ordinary); 284 ATF_TP_ADD_TC(tp, eq_and_nan); 285 ATF_TP_ADD_TC(tp, boundaries); 286 ATF_TP_ADD_TC(tp, overflow); 287 288 return (atf_no_error()); 289} 290