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
main(int argc,char * argv[])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
_testl(const char * exp,int line,long double actual,long double expected,int except)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
idd(double x)255 idd(double x)
256 {
257 return (x);
258 }
259
260 static float
idf(float x)261 idf(float x)
262 {
263 return (x);
264 }
265