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 * $FreeBSD: src/tools/regression/lib/msun/test-next.c,v 1.5 2012/11/17 01:53:51 svnexp Exp $ 27 */ 28 29 /* 30 * Test the correctness of nextafter{,f,l} and nexttoward{,f,l}. 31 */ 32 33 #include <fenv.h> 34 #include <float.h> 35 #include <math.h> 36 #include <stdio.h> 37 #include <stdlib.h> 38 39 #ifdef __i386__ 40 #include <ieeefp.h> 41 #endif 42 43 #define ALL_STD_EXCEPT (FE_DIVBYZERO | FE_INEXACT | FE_INVALID |\ 44 FE_OVERFLOW | FE_UNDERFLOW) 45 #define test(exp, ans, ex) do { \ 46 double __ans = (ans); \ 47 feclearexcept(ALL_STD_EXCEPT); \ 48 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 49 } while (0) 50 #define testf(exp, ans, ex) do { \ 51 float __ans = (ans); \ 52 feclearexcept(ALL_STD_EXCEPT); \ 53 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 54 } while (0) 55 #define testl(exp, ans, ex) do { \ 56 long double __ans = (ans); \ 57 feclearexcept(ALL_STD_EXCEPT); \ 58 _testl(#exp, __LINE__, (exp), __ans, (ex)); \ 59 } while (0) 60 #define testboth(arg1, arg2, ans, ex, prec) do { \ 61 test##prec(nextafter##prec((arg1), (arg2)), (ans), (ex)); \ 62 test##prec(nexttoward##prec((arg1), (arg2)), (ans), (ex)); \ 63 } while (0) 64 #define testall(arg1, arg2, ans, ex) do { \ 65 testboth((arg1), (arg2), (ans), (ex), ); \ 66 testboth((arg1), (arg2), (ans), (ex), f); \ 67 testboth((arg1), (arg2), (ans), (ex), l); \ 68 } while (0) 69 70 static void _testl(const char *, int, long double, long double, int); 71 static double idd(double); 72 static float idf(float); 73 74 int 75 main(int argc, char *argv[]) 76 { 77 static const int ex_under = FE_UNDERFLOW | FE_INEXACT; /* shorthand */ 78 static const int ex_over = FE_OVERFLOW | FE_INEXACT; 79 long double ldbl_small, ldbl_eps, ldbl_max; 80 81 printf("1..5\n"); 82 83 #ifdef __i386__ 84 fpsetprec(FP_PE); 85 #endif 86 /* 87 * We can't use a compile-time constant here because gcc on 88 * FreeBSD/i386 assumes long doubles are truncated to the 89 * double format. 90 */ 91 ldbl_small = ldexpl(1.0, LDBL_MIN_EXP - LDBL_MANT_DIG); 92 ldbl_eps = LDBL_EPSILON; 93 ldbl_max = ldexpl(1.0 - ldbl_eps / 2, LDBL_MAX_EXP); 94 95 /* 96 * Special cases involving zeroes. 97 */ 98 #define ztest(prec) \ 99 test##prec(copysign##prec(1.0, nextafter##prec(0.0, -0.0)), -1.0, 0); \ 100 test##prec(copysign##prec(1.0, nextafter##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 test##prec(copysign##prec(1.0, nexttoward##prec(-0.0, 0.0)), 1.0, 0) 103 104 ztest(); 105 ztest(f); 106 ztest(l); 107 #undef ztest 108 109 #define stest(next, eps, prec) \ 110 test##prec(next(-0.0, 42.0), eps, ex_under); \ 111 test##prec(next(0.0, -42.0), -eps, ex_under); \ 112 test##prec(next(0.0, INFINITY), eps, ex_under); \ 113 test##prec(next(-0.0, -INFINITY), -eps, ex_under) 114 115 stest(nextafter, 0x1p-1074, ); 116 stest(nextafterf, 0x1p-149f, f); 117 stest(nextafterl, ldbl_small, l); 118 stest(nexttoward, 0x1p-1074, ); 119 stest(nexttowardf, 0x1p-149f, f); 120 stest(nexttowardl, ldbl_small, l); 121 #undef stest 122 123 printf("ok 1 - next\n"); 124 125 /* 126 * `x == y' and NaN tests 127 */ 128 testall(42.0, 42.0, 42.0, 0); 129 testall(-42.0, -42.0, -42.0, 0); 130 testall(INFINITY, INFINITY, INFINITY, 0); 131 testall(-INFINITY, -INFINITY, -INFINITY, 0); 132 testall(NAN, 42.0, NAN, 0); 133 testall(42.0, NAN, NAN, 0); 134 testall(NAN, NAN, NAN, 0); 135 136 printf("ok 2 - next\n"); 137 138 /* 139 * Tests where x is an ordinary normalized number 140 */ 141 testboth(1.0, 2.0, 1.0 + DBL_EPSILON, 0, ); 142 testboth(1.0, -INFINITY, 1.0 - DBL_EPSILON/2, 0, ); 143 testboth(1.0, 2.0, 1.0 + FLT_EPSILON, 0, f); 144 testboth(1.0, -INFINITY, 1.0 - FLT_EPSILON/2, 0, f); 145 testboth(1.0, 2.0, 1.0 + ldbl_eps, 0, l); 146 testboth(1.0, -INFINITY, 1.0 - ldbl_eps/2, 0, l); 147 148 testboth(-1.0, 2.0, -1.0 + DBL_EPSILON/2, 0, ); 149 testboth(-1.0, -INFINITY, -1.0 - DBL_EPSILON, 0, ); 150 testboth(-1.0, 2.0, -1.0 + FLT_EPSILON/2, 0, f); 151 testboth(-1.0, -INFINITY, -1.0 - FLT_EPSILON, 0, f); 152 testboth(-1.0, 2.0, -1.0 + ldbl_eps/2, 0, l); 153 testboth(-1.0, -INFINITY, -1.0 - ldbl_eps, 0, l); 154 155 /* Cases where nextafter(...) != nexttoward(...) */ 156 test(nexttoward(1.0, 1.0 + ldbl_eps), 1.0 + DBL_EPSILON, 0); 157 testf(nexttowardf(1.0, 1.0 + ldbl_eps), 1.0 + FLT_EPSILON, 0); 158 testl(nexttowardl(1.0, 1.0 + ldbl_eps), 1.0 + ldbl_eps, 0); 159 160 printf("ok 3 - next\n"); 161 162 /* 163 * Tests at word boundaries, normalization boundaries, etc. 164 */ 165 testboth(0x1.87654ffffffffp+0, INFINITY, 0x1.87655p+0, 0, ); 166 testboth(0x1.87655p+0, -INFINITY, 0x1.87654ffffffffp+0, 0, ); 167 testboth(0x1.fffffffffffffp+0, INFINITY, 0x1p1, 0, ); 168 testboth(0x1p1, -INFINITY, 0x1.fffffffffffffp+0, 0, ); 169 testboth(0x0.fffffffffffffp-1022, INFINITY, 0x1p-1022, 0, ); 170 testboth(0x1p-1022, -INFINITY, 0x0.fffffffffffffp-1022, ex_under, ); 171 172 testboth(0x1.fffffep0f, INFINITY, 0x1p1, 0, f); 173 testboth(0x1p1, -INFINITY, 0x1.fffffep0f, 0, f); 174 testboth(0x0.fffffep-126f, INFINITY, 0x1p-126f, 0, f); 175 testboth(0x1p-126f, -INFINITY, 0x0.fffffep-126f, ex_under, f); 176 177 #if LDBL_MANT_DIG == 53 178 testboth(0x1.87654ffffffffp+0L, INFINITY, 0x1.87655p+0L, 0, l); 179 testboth(0x1.87655p+0L, -INFINITY, 0x1.87654ffffffffp+0L, 0, l); 180 testboth(0x1.fffffffffffffp+0L, INFINITY, 0x1p1L, 0, l); 181 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffp+0L, 0, l); 182 testboth(0x0.fffffffffffffp-1022L, INFINITY, 0x1p-1022L, 0, l); 183 testboth(0x1p-1022L, -INFINITY, 0x0.fffffffffffffp-1022L, ex_under, l); 184 #elif LDBL_MANT_DIG == 64 && !defined(__i386) 185 testboth(0x1.87654321fffffffep+0L, INFINITY, 0x1.87654322p+0L, 0, l); 186 testboth(0x1.87654322p+0L, -INFINITY, 0x1.87654321fffffffep+0L, 0, l); 187 testboth(0x1.fffffffffffffffep0L, INFINITY, 0x1p1L, 0, l); 188 testboth(0x1p1L, -INFINITY, 0x1.fffffffffffffffep0L, 0, l); 189 testboth(0x0.fffffffffffffffep-16382L, INFINITY, 0x1p-16382L, 0, l); 190 testboth(0x1p-16382L, -INFINITY, 191 0x0.fffffffffffffffep-16382L, ex_under, l); 192 #elif LDBL_MANT_DIG == 113 193 testboth(0x1.876543210987ffffffffffffffffp+0L, INFINITY, 194 0x1.876543210988p+0, 0, l); 195 testboth(0x1.876543210988p+0L, -INFINITY, 196 0x1.876543210987ffffffffffffffffp+0L, 0, l); 197 testboth(0x1.ffffffffffffffffffffffffffffp0L, INFINITY, 0x1p1L, 0, l); 198 testboth(0x1p1L, -INFINITY, 0x1.ffffffffffffffffffffffffffffp0L, 0, l); 199 testboth(0x0.ffffffffffffffffffffffffffffp-16382L, INFINITY, 200 0x1p-16382L, 0, l); 201 testboth(0x1p-16382L, -INFINITY, 202 0x0.ffffffffffffffffffffffffffffp-16382L, ex_under, l); 203 #endif 204 205 printf("ok 4 - next\n"); 206 207 /* 208 * Overflow tests 209 */ 210 test(idd(nextafter(DBL_MAX, INFINITY)), INFINITY, ex_over); 211 test(idd(nextafter(INFINITY, 0.0)), DBL_MAX, 0); 212 test(idd(nexttoward(DBL_MAX, DBL_MAX * 2.0L)), INFINITY, ex_over); 213 #if LDBL_MANT_DIG > 53 214 test(idd(nexttoward(INFINITY, DBL_MAX * 2.0L)), DBL_MAX, 0); 215 #endif 216 217 testf(idf(nextafterf(FLT_MAX, INFINITY)), INFINITY, ex_over); 218 testf(idf(nextafterf(INFINITY, 0.0)), FLT_MAX, 0); 219 testf(idf(nexttowardf(FLT_MAX, FLT_MAX * 2.0)), INFINITY, ex_over); 220 testf(idf(nexttowardf(INFINITY, FLT_MAX * 2.0)), FLT_MAX, 0); 221 222 testboth(ldbl_max, INFINITY, INFINITY, ex_over, l); 223 testboth(INFINITY, 0.0, ldbl_max, 0, l); 224 225 printf("ok 5 - next\n"); 226 227 return (0); 228 } 229 230 static void 231 _testl(const char *exp, int line, long double actual, long double expected, 232 int except) 233 { 234 int actual_except; 235 236 actual_except = fetestexcept(ALL_STD_EXCEPT); 237 if (actual != expected && !(isnan(actual) && isnan(expected))) { 238 fprintf(stderr, "%d: %s returned %La, expecting %La\n", 239 line, exp, actual, expected); 240 abort(); 241 } 242 if (actual_except != except) { 243 fprintf(stderr, "%d: %s raised 0x%x, expecting 0x%x\n", 244 line, exp, actual_except, except); 245 abort(); 246 } 247 } 248 249 /* 250 * The idd() and idf() routines ensure that doubles and floats are 251 * converted to their respective types instead of stored in the FPU 252 * with extra precision. 253 */ 254 static double 255 idd(double x) 256 { 257 return (x); 258 } 259 260 static float 261 idf(float x) 262 { 263 return (x); 264 } 265