1 /* $OpenBSD: next_test.c,v 1.1 2021/10/22 18:00:23 mbuhl 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 <sys/cdefs.h> 35 __FBSDID("$FreeBSD$"); 36 37 #include <fenv.h> 38 #include <float.h> 39 #include <math.h> 40 #include <stdio.h> 41 #include <stdlib.h> 42 43 #ifdef __i386__ 44 #include <ieeefp.h> 45 #endif 46 47 #include "test-utils.h" 48 49 #define test(exp, ans, ex) do { \ 50 double __ans = (ans); \ 51 feclearexcept(ALL_STD_EXCEPT); \ 52 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 53 } while (0) 54 #define testf(exp, ans, ex) do { \ 55 float __ans = (ans); \ 56 feclearexcept(ALL_STD_EXCEPT); \ 57 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 58 } while (0) 59 #define testl(exp, ans, ex) do { \ 60 long double __ans = (ans); \ 61 feclearexcept(ALL_STD_EXCEPT); \ 62 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 63 } while (0) 64 #define testboth(arg1, arg2, ans, ex, prec) do { \ 65 test##prec(nextafter##prec((arg1), (arg2)), (ans), (ex)); \ 66 test##prec(nexttoward##prec((arg1), (arg2)), (ans), (ex)); \ 67 } while (0) 68 #define testall(arg1, arg2, ans, ex) do { \ 69 testboth((arg1), (arg2), (ans), (ex), ); \ 70 testboth((arg1), (arg2), (ans), (ex), f); \ 71 testboth((arg1), (arg2), (ans), (ex), l); \ 72 } while (0) 73 74 static void _testl(const char *, int, long double, long double, int); 75 static double idd(double); 76 static float idf(float); 77 78 static const int ex_under = FE_UNDERFLOW | FE_INEXACT; /* shorthand */ 79 static const int ex_over = FE_OVERFLOW | FE_INEXACT; 80 static const long double ldbl_eps = LDBL_EPSILON; 81 82 83 84 ATF_TC_WITHOUT_HEAD(zeros); 85 ATF_TC_BODY(zeros, tc) 86 { 87 long double ldbl_small; 88 89 #ifndef __OpenBSD__ 90 #ifdef __i386__ 91 fpsetprec(FP_PE); 92 #endif 93 #endif 94 /* 95 * We can't use a compile-time constant here because gcc on 96 * FreeBSD/i386 assumes long doubles are truncated to the 97 * double format. 98 */ 99 ldbl_small = ldexpl(1.0, LDBL_MIN_EXP - LDBL_MANT_DIG); 100 101 /* 102 * Special cases involving zeroes. 103 */ 104 #define ztest(prec) \ 105 test##prec(copysign##prec(1.0, nextafter##prec(0.0, -0.0)), -1.0, 0); \ 106 test##prec(copysign##prec(1.0, nextafter##prec(-0.0, 0.0)), 1.0, 0); \ 107 test##prec(copysign##prec(1.0, nexttoward##prec(0.0, -0.0)), -1.0, 0);\ 108 test##prec(copysign##prec(1.0, nexttoward##prec(-0.0, 0.0)), 1.0, 0) 109 110 ztest(); 111 ztest(f); 112 ztest(l); 113 #undef ztest 114 115 #define stest(next, eps, prec) \ 116 test##prec(next(-0.0, 42.0), eps, ex_under); \ 117 test##prec(next(0.0, -42.0), -eps, ex_under); \ 118 test##prec(next(0.0, INFINITY), eps, ex_under); \ 119 test##prec(next(-0.0, -INFINITY), -eps, ex_under) 120 121 stest(nextafter, 0x1p-1074, ); 122 stest(nextafterf, 0x1p-149f, f); 123 stest(nextafterl, ldbl_small, l); 124 stest(nexttoward, 0x1p-1074, ); 125 stest(nexttowardf, 0x1p-149f, f); 126 stest(nexttowardl, ldbl_small, l); 127 #undef stest 128 } 129 130 ATF_TC_WITHOUT_HEAD(eq_and_nan); 131 ATF_TC_BODY(eq_and_nan, tc) 132 { 133 /* 134 * `x == y' and NaN tests 135 */ 136 testall(42.0, 42.0, 42.0, 0); 137 testall(-42.0, -42.0, -42.0, 0); 138 testall(INFINITY, INFINITY, INFINITY, 0); 139 testall(-INFINITY, -INFINITY, -INFINITY, 0); 140 testall(NAN, 42.0, NAN, 0); 141 testall(42.0, NAN, NAN, 0); 142 testall(NAN, NAN, NAN, 0); 143 } 144 145 ATF_TC_WITHOUT_HEAD(ordinary); 146 ATF_TC_BODY(ordinary, tc) 147 { 148 /* 149 * Tests where x is an ordinary normalized number 150 */ 151 testboth(1.0, 2.0, 1.0 + DBL_EPSILON, 0, ); 152 testboth(1.0, -INFINITY, 1.0 - DBL_EPSILON / 2, 0, ); 153 testboth(1.0, 2.0, 1.0 + FLT_EPSILON, 0, f); 154 testboth(1.0, -INFINITY, 1.0 - FLT_EPSILON / 2, 0, f); 155 testboth(1.0, 2.0, 1.0 + ldbl_eps, 0, l); 156 testboth(1.0, -INFINITY, 1.0 - ldbl_eps / 2, 0, l); 157 158 testboth(-1.0, 2.0, -1.0 + DBL_EPSILON / 2, 0, ); 159 testboth(-1.0, -INFINITY, -1.0 - DBL_EPSILON, 0, ); 160 testboth(-1.0, 2.0, -1.0 + FLT_EPSILON / 2, 0, f); 161 testboth(-1.0, -INFINITY, -1.0 - FLT_EPSILON, 0, f); 162 testboth(-1.0, 2.0, -1.0 + ldbl_eps / 2, 0, l); 163 testboth(-1.0, -INFINITY, -1.0 - ldbl_eps, 0, l); 164 165 /* Cases where nextafter(...) != nexttoward(...) */ 166 test(nexttoward(1.0, 1.0 + ldbl_eps), 1.0 + DBL_EPSILON, 0); 167 testf(nexttowardf(1.0, 1.0 + ldbl_eps), 1.0 + FLT_EPSILON, 0); 168 testl(nexttowardl(1.0, 1.0 + ldbl_eps), 1.0 + ldbl_eps, 0); 169 } 170 171 ATF_TC_WITHOUT_HEAD(boundaries); 172 ATF_TC_BODY(boundaries, tc) 173 { 174 /* 175 * Tests at word boundaries, normalization boundaries, etc. 176 */ 177 testboth(0x1.87654ffffffffp+0, INFINITY, 0x1.87655p+0, 0, ); 178 testboth(0x1.87655p+0, -INFINITY, 0x1.87654ffffffffp+0, 0, ); 179 testboth(0x1.fffffffffffffp+0, INFINITY, 0x1p1, 0, ); 180 testboth(0x1p1, -INFINITY, 0x1.fffffffffffffp+0, 0, ); 181 testboth(0x0.fffffffffffffp-1022, INFINITY, 0x1p-1022, 0, ); 182 testboth(0x1p-1022, -INFINITY, 0x0.fffffffffffffp-1022, ex_under, ); 183 184 testboth(0x1.fffffep0f, INFINITY, 0x1p1, 0, f); 185 testboth(0x1p1, -INFINITY, 0x1.fffffep0f, 0, f); 186 testboth(0x0.fffffep-126f, INFINITY, 0x1p-126f, 0, f); 187 testboth(0x1p-126f, -INFINITY, 0x0.fffffep-126f, ex_under, f); 188 189 #if LDBL_MANT_DIG == 53 190 testboth(0x1.87654ffffffffp+0L, INFINITY, 0x1.87655p+0L, 0, l); 191 testboth(0x1.87655p+0L, -INFINITY, 0x1.87654ffffffffp+0L, 0, l); 192 testboth(0x1.fffffffffffffp+0L, INFINITY, 0x1p1L, 0, l); 193 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffp+0L, 0, l); 194 testboth(0x0.fffffffffffffp-1022L, INFINITY, 0x1p-1022L, 0, l); 195 testboth(0x1p-1022L, -INFINITY, 0x0.fffffffffffffp-1022L, ex_under, l); 196 #elif LDBL_MANT_DIG == 64 && !defined(__i386) 197 testboth(0x1.87654321fffffffep+0L, INFINITY, 0x1.87654322p+0L, 0, l); 198 testboth(0x1.87654322p+0L, -INFINITY, 0x1.87654321fffffffep+0L, 0, l); 199 testboth(0x1.fffffffffffffffep0L, INFINITY, 0x1p1L, 0, l); 200 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffffep0L, 0, l); 201 testboth(0x0.fffffffffffffffep-16382L, INFINITY, 0x1p-16382L, 0, l); 202 testboth(0x1p-16382L, -INFINITY, 203 0x0.fffffffffffffffep-16382L, ex_under, l); 204 #elif LDBL_MANT_DIG == 113 205 testboth(0x1.876543210987ffffffffffffffffp+0L, INFINITY, 206 0x1.876543210988p+0, 0, l); 207 testboth(0x1.876543210988p+0L, -INFINITY, 208 0x1.876543210987ffffffffffffffffp+0L, 0, l); 209 testboth(0x1.ffffffffffffffffffffffffffffp0L, INFINITY, 0x1p1L, 0, l); 210 testboth(0x1p1L, -INFINITY, 0x1.ffffffffffffffffffffffffffffp0L, 0, l); 211 testboth(0x0.ffffffffffffffffffffffffffffp-16382L, INFINITY, 212 0x1p-16382L, 0, l); 213 testboth(0x1p-16382L, -INFINITY, 214 0x0.ffffffffffffffffffffffffffffp-16382L, ex_under, l); 215 #endif 216 } 217 218 ATF_TC_WITHOUT_HEAD(overflow); 219 ATF_TC_BODY(overflow, tc) 220 { 221 long double ldbl_max; 222 /* 223 * We can't use a compile-time constant here because gcc on 224 * FreeBSD/i386 assumes long doubles are truncated to the 225 * double format. 226 */ 227 ldbl_max = ldexpl(1.0 - ldbl_eps / 2, LDBL_MAX_EXP); 228 229 /* 230 * Overflow tests 231 */ 232 test(idd(nextafter(DBL_MAX, INFINITY)), INFINITY, ex_over); 233 test(idd(nextafter(INFINITY, 0.0)), DBL_MAX, 0); 234 test(idd(nexttoward(DBL_MAX, DBL_MAX * 2.0L)), INFINITY, ex_over); 235 #if LDBL_MANT_DIG > 53 236 test(idd(nexttoward(INFINITY, DBL_MAX * 2.0L)), DBL_MAX, 0); 237 #endif 238 239 testf(idf(nextafterf(FLT_MAX, INFINITY)), INFINITY, ex_over); 240 testf(idf(nextafterf(INFINITY, 0.0)), FLT_MAX, 0); 241 testf(idf(nexttowardf(FLT_MAX, FLT_MAX * 2.0)), INFINITY, ex_over); 242 testf(idf(nexttowardf(INFINITY, FLT_MAX * 2.0)), FLT_MAX, 0); 243 244 testboth(ldbl_max, INFINITY, INFINITY, ex_over, l); 245 testboth(INFINITY, 0.0, ldbl_max, 0, l); 246 } 247 248 static void 249 _testl(const char *exp, int line, long double actual, long double expected, 250 int except) 251 { 252 int actual_except; 253 254 actual_except = fetestexcept(ALL_STD_EXCEPT); 255 if (!fpequal_cs(actual, expected, true)) { 256 atf_tc_fail_check(__FILE__, line, 257 "%s returned %La, expecting %La\n", exp, actual, expected); 258 } 259 if (actual_except != except) { 260 atf_tc_fail_check(__FILE__, line, 261 "%s raised 0x%x, expecting 0x%x\n", exp, actual_except, 262 except); 263 } 264 } 265 266 /* 267 * The idd() and idf() routines ensure that doubles and floats are 268 * converted to their respective types instead of stored in the FPU 269 * with extra precision. 270 */ 271 static double 272 idd(double x) 273 { 274 return (x); 275 } 276 277 static float 278 idf(float x) 279 { 280 return (x); 281 } 282 283 ATF_TP_ADD_TCS(tp) 284 { 285 ATF_TP_ADD_TC(tp, zeros); 286 ATF_TP_ADD_TC(tp, ordinary); 287 ATF_TP_ADD_TC(tp, eq_and_nan); 288 ATF_TP_ADD_TC(tp, boundaries); 289 ATF_TP_ADD_TC(tp, overflow); 290 291 return (atf_no_error()); 292 } 293