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 69 static void _testl(const char *, int, long double, long double, int); 70 static double idd(double); 71 static float idf(float); 72 73 static const int ex_under = FE_UNDERFLOW | FE_INEXACT; /* shorthand */ 74 static const int ex_over = FE_OVERFLOW | FE_INEXACT; 75 static const long double ldbl_eps = LDBL_EPSILON; 76 77 78 79 ATF_TC_WITHOUT_HEAD(zeros); 80 ATF_TC_BODY(zeros, tc) 81 { 82 #if defined(__aarch64__) || defined(__riscv) 83 atf_tc_expect_fail("https://bugs.freebsd.org/290099"); 84 #endif 85 long double ldbl_small; 86 87 #ifdef __i386__ 88 fpsetprec(FP_PE); 89 #endif 90 /* 91 * We can't use a compile-time constant here because gcc on 92 * FreeBSD/i386 assumes long doubles are truncated to the 93 * double format. 94 */ 95 ldbl_small = ldexpl(1.0, LDBL_MIN_EXP - LDBL_MANT_DIG); 96 97 /* 98 * Special cases involving zeroes. 99 */ 100 #define ztest(prec) \ 101 test##prec(copysign##prec(1.0, nextafter##prec(0.0, -0.0)), -1.0, 0); \ 102 test##prec(copysign##prec(1.0, nextafter##prec(-0.0, 0.0)), 1.0, 0); \ 103 test##prec(copysign##prec(1.0, nexttoward##prec(0.0, -0.0)), -1.0, 0);\ 104 test##prec(copysign##prec(1.0, nexttoward##prec(-0.0, 0.0)), 1.0, 0) 105 106 ztest(); 107 ztest(f); 108 ztest(l); 109 #undef ztest 110 111 #define stest(next, eps, prec) \ 112 test##prec(next(-0.0, 42.0), eps, ex_under); \ 113 test##prec(next(0.0, -42.0), -eps, ex_under); \ 114 test##prec(next(0.0, INFINITY), eps, ex_under); \ 115 test##prec(next(-0.0, -INFINITY), -eps, ex_under) 116 117 stest(nextafter, 0x1p-1074, ); 118 stest(nextafterf, 0x1p-149f, f); 119 stest(nextafterl, ldbl_small, l); 120 stest(nexttoward, 0x1p-1074, ); 121 stest(nexttowardf, 0x1p-149f, f); 122 stest(nexttowardl, ldbl_small, l); 123 #undef stest 124 } 125 126 ATF_TC_WITHOUT_HEAD(eq_and_nan); 127 ATF_TC_BODY(eq_and_nan, tc) 128 { 129 /* 130 * `x == y' and NaN tests 131 */ 132 testall(42.0, 42.0, 42.0, 0); 133 testall(-42.0, -42.0, -42.0, 0); 134 testall(INFINITY, INFINITY, INFINITY, 0); 135 testall(-INFINITY, -INFINITY, -INFINITY, 0); 136 testall(NAN, 42.0, NAN, 0); 137 testall(42.0, NAN, NAN, 0); 138 testall(NAN, NAN, NAN, 0); 139 } 140 141 ATF_TC_WITHOUT_HEAD(ordinary); 142 ATF_TC_BODY(ordinary, tc) 143 { 144 /* 145 * Tests where x is an ordinary normalized number 146 */ 147 testboth(1.0, 2.0, 1.0 + DBL_EPSILON, 0, ); 148 testboth(1.0, -INFINITY, 1.0 - DBL_EPSILON / 2, 0, ); 149 testboth(1.0, 2.0, 1.0 + FLT_EPSILON, 0, f); 150 testboth(1.0, -INFINITY, 1.0 - FLT_EPSILON / 2, 0, f); 151 testboth(1.0, 2.0, 1.0 + ldbl_eps, 0, l); 152 testboth(1.0, -INFINITY, 1.0 - ldbl_eps / 2, 0, l); 153 154 testboth(-1.0, 2.0, -1.0 + DBL_EPSILON / 2, 0, ); 155 testboth(-1.0, -INFINITY, -1.0 - DBL_EPSILON, 0, ); 156 testboth(-1.0, 2.0, -1.0 + FLT_EPSILON / 2, 0, f); 157 testboth(-1.0, -INFINITY, -1.0 - FLT_EPSILON, 0, f); 158 testboth(-1.0, 2.0, -1.0 + ldbl_eps / 2, 0, l); 159 testboth(-1.0, -INFINITY, -1.0 - ldbl_eps, 0, l); 160 161 /* Cases where nextafter(...) != nexttoward(...) */ 162 test(nexttoward(1.0, 1.0 + ldbl_eps), 1.0 + DBL_EPSILON, 0); 163 testf(nexttowardf(1.0, 1.0 + ldbl_eps), 1.0 + FLT_EPSILON, 0); 164 testl(nexttowardl(1.0, 1.0 + ldbl_eps), 1.0 + ldbl_eps, 0); 165 } 166 167 ATF_TC_WITHOUT_HEAD(boundaries); 168 ATF_TC_BODY(boundaries, tc) 169 { 170 #if defined(__aarch64__) || defined(__riscv) 171 atf_tc_expect_fail("https://bugs.freebsd.org/290099"); 172 #endif 173 /* 174 * Tests at word boundaries, normalization boundaries, etc. 175 */ 176 testboth(0x1.87654ffffffffp+0, INFINITY, 0x1.87655p+0, 0, ); 177 testboth(0x1.87655p+0, -INFINITY, 0x1.87654ffffffffp+0, 0, ); 178 testboth(0x1.fffffffffffffp+0, INFINITY, 0x1p1, 0, ); 179 testboth(0x1p1, -INFINITY, 0x1.fffffffffffffp+0, 0, ); 180 testboth(0x0.fffffffffffffp-1022, INFINITY, 0x1p-1022, 0, ); 181 testboth(0x1p-1022, -INFINITY, 0x0.fffffffffffffp-1022, ex_under, ); 182 183 testboth(0x1.fffffep0f, INFINITY, 0x1p1, 0, f); 184 testboth(0x1p1, -INFINITY, 0x1.fffffep0f, 0, f); 185 testboth(0x0.fffffep-126f, INFINITY, 0x1p-126f, 0, f); 186 testboth(0x1p-126f, -INFINITY, 0x0.fffffep-126f, ex_under, f); 187 188 #if LDBL_MANT_DIG == 53 189 testboth(0x1.87654ffffffffp+0L, INFINITY, 0x1.87655p+0L, 0, l); 190 testboth(0x1.87655p+0L, -INFINITY, 0x1.87654ffffffffp+0L, 0, l); 191 testboth(0x1.fffffffffffffp+0L, INFINITY, 0x1p1L, 0, l); 192 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffp+0L, 0, l); 193 testboth(0x0.fffffffffffffp-1022L, INFINITY, 0x1p-1022L, 0, l); 194 testboth(0x1p-1022L, -INFINITY, 0x0.fffffffffffffp-1022L, ex_under, l); 195 #elif LDBL_MANT_DIG == 64 && !defined(__i386) 196 testboth(0x1.87654321fffffffep+0L, INFINITY, 0x1.87654322p+0L, 0, l); 197 testboth(0x1.87654322p+0L, -INFINITY, 0x1.87654321fffffffep+0L, 0, l); 198 testboth(0x1.fffffffffffffffep0L, INFINITY, 0x1p1L, 0, l); 199 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffffep0L, 0, l); 200 testboth(0x0.fffffffffffffffep-16382L, INFINITY, 0x1p-16382L, 0, l); 201 testboth(0x1p-16382L, -INFINITY, 202 0x0.fffffffffffffffep-16382L, ex_under, l); 203 #elif LDBL_MANT_DIG == 113 204 testboth(0x1.876543210987ffffffffffffffffp+0L, INFINITY, 205 0x1.876543210988p+0, 0, l); 206 testboth(0x1.876543210988p+0L, -INFINITY, 207 0x1.876543210987ffffffffffffffffp+0L, 0, l); 208 testboth(0x1.ffffffffffffffffffffffffffffp0L, INFINITY, 0x1p1L, 0, l); 209 testboth(0x1p1L, -INFINITY, 0x1.ffffffffffffffffffffffffffffp0L, 0, l); 210 testboth(0x0.ffffffffffffffffffffffffffffp-16382L, INFINITY, 211 0x1p-16382L, 0, l); 212 testboth(0x1p-16382L, -INFINITY, 213 0x0.ffffffffffffffffffffffffffffp-16382L, ex_under, l); 214 #endif 215 } 216 217 ATF_TC_WITHOUT_HEAD(overflow); 218 ATF_TC_BODY(overflow, tc) 219 { 220 #if defined(__aarch64__) || defined(__riscv) 221 atf_tc_expect_fail("https://bugs.freebsd.org/290099"); 222 #endif 223 long double ldbl_max; 224 /* 225 * We can't use a compile-time constant here because gcc on 226 * FreeBSD/i386 assumes long doubles are truncated to the 227 * double format. 228 */ 229 ldbl_max = ldexpl(1.0 - ldbl_eps / 2, LDBL_MAX_EXP); 230 231 /* 232 * Overflow tests 233 */ 234 test(idd(nextafter(DBL_MAX, INFINITY)), INFINITY, ex_over); 235 test(idd(nextafter(INFINITY, 0.0)), DBL_MAX, 0); 236 test(idd(nexttoward(DBL_MAX, DBL_MAX * 2.0L)), INFINITY, ex_over); 237 #if LDBL_MANT_DIG > 53 238 test(idd(nexttoward(INFINITY, DBL_MAX * 2.0L)), DBL_MAX, 0); 239 #endif 240 241 testf(idf(nextafterf(FLT_MAX, INFINITY)), INFINITY, ex_over); 242 testf(idf(nextafterf(INFINITY, 0.0)), FLT_MAX, 0); 243 testf(idf(nexttowardf(FLT_MAX, FLT_MAX * 2.0)), INFINITY, ex_over); 244 testf(idf(nexttowardf(INFINITY, FLT_MAX * 2.0)), FLT_MAX, 0); 245 246 testboth(ldbl_max, INFINITY, INFINITY, ex_over, l); 247 testboth(INFINITY, 0.0, ldbl_max, 0, l); 248 } 249 250 static void 251 _testl(const char *exp, int line, long double actual, long double expected, 252 int except) 253 { 254 int actual_except; 255 256 actual_except = fetestexcept(ALL_STD_EXCEPT); 257 if (!fpequal_cs(actual, expected, true)) { 258 atf_tc_fail_check(__FILE__, line, 259 "%s returned %La, expecting %La\n", exp, actual, expected); 260 } 261 if (actual_except != except) { 262 atf_tc_fail_check(__FILE__, line, 263 "%s raised 0x%x, expecting 0x%x\n", exp, actual_except, 264 except); 265 } 266 } 267 268 /* 269 * The idd() and idf() routines ensure that doubles and floats are 270 * converted to their respective types instead of stored in the FPU 271 * with extra precision. 272 */ 273 static double 274 idd(double x) 275 { 276 return (x); 277 } 278 279 static float 280 idf(float x) 281 { 282 return (x); 283 } 284 285 ATF_TP_ADD_TCS(tp) 286 { 287 ATF_TP_ADD_TC(tp, zeros); 288 ATF_TP_ADD_TC(tp, ordinary); 289 ATF_TP_ADD_TC(tp, eq_and_nan); 290 ATF_TP_ADD_TC(tp, boundaries); 291 ATF_TP_ADD_TC(tp, overflow); 292 293 return (atf_no_error()); 294 } 295