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