1 /*-
2 * Copyright (c) 2005-2008 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 for remainder functions: remainder, remainderf, remainderl,
29 * remquo, remquof, and remquol.
30 * Missing tests: fmod, fmodf.
31 */
32
33 #include <sys/cdefs.h>
34 __FBSDID("$FreeBSD: stable/9/tools/regression/lib/msun/test-rem.c 177767 2008-03-30 20:48:33Z das $");
35
36 #include <assert.h>
37 #include <float.h>
38 #include <math.h>
39 #include <stdio.h>
40 #include <stdlib.h>
41 #include <strings.h>
42
43 static void test_invalid(long double, long double);
44 static void testl(long double, long double, long double, int);
45 static void testd(double, double, double, int);
46 static void testf(float, float, float, int);
47
48 #define test(x, y, e_r, e_q) do { \
49 testl(x, y, e_r, e_q); \
50 testd(x, y, e_r, e_q); \
51 testf(x, y, e_r, e_q); \
52 } while (0)
53
54 int
main(int argc,char * argv[])55 main(int argc, char *argv[])
56 {
57
58 printf("1..2\n");
59
60 test_invalid(0.0, 0.0);
61 test_invalid(1.0, 0.0);
62 test_invalid(INFINITY, 0.0);
63 test_invalid(INFINITY, 1.0);
64 test_invalid(-INFINITY, 1.0);
65 test_invalid(NAN, 1.0);
66 test_invalid(1.0, NAN);
67
68 test(4, 4, 0, 1);
69 test(0, 3.0, 0, 0);
70 testd(0x1p-1074, 1, 0x1p-1074, 0x1p-1074);
71 testf(0x1p-149, 1, 0x1p-149, 0x1p-149);
72 test(3.0, 4, -1, 1);
73 test(3.0, -4, -1, -1);
74 testd(275 * 1193040, 275, 0, 1193040);
75 test(4.5 * 7.5, 4.5, -2.25, 8); /* we should get the even one */
76 testf(0x1.9044f6p-1, 0x1.ce662ep-1, -0x1.f109cp-4, 1);
77 #if LDBL_MANT_DIG > 53
78 testl(-0x1.23456789abcdefp-2000L, 0x1.fedcba987654321p-2000L,
79 0x1.b72ea61d950c862p-2001L, -1);
80 #endif
81
82 printf("ok 1 - rem\n");
83
84 /*
85 * The actual quotient here is 864062210.50000003..., but
86 * double-precision division gets -8.64062210.5, which rounds
87 * the wrong way. This test ensures that remquo() is smart
88 * enough to get the low-order bit right.
89 */
90 testd(-0x1.98260f22fc6dep-302, 0x1.fb3167c430a13p-332,
91 0x1.fb3165b82de72p-333, -864062211);
92 /* Even harder cases with greater exponent separation */
93 test(0x1.fp100, 0x1.ep-40, -0x1.cp-41, 143165577);
94 testd(-0x1.abcdefp120, 0x1.87654321p-120,
95 -0x1.69c78ec4p-121, -63816414);
96
97 printf("ok 2 - rem\n");
98
99 return (0);
100 }
101
102 static void
test_invalid(long double x,long double y)103 test_invalid(long double x, long double y)
104 {
105 int q;
106
107 q = 0xdeadbeef;
108
109 assert(isnan(remainder(x, y)));
110 assert(isnan(remquo(x, y, &q)));
111 #ifdef STRICT
112 assert(q == 0xdeadbeef);
113 #endif
114
115 assert(isnan(remainderf(x, y)));
116 assert(isnan(remquof(x, y, &q)));
117 #ifdef STRICT
118 assert(q == 0xdeadbeef);
119 #endif
120
121 assert(isnan(remainderl(x, y)));
122 assert(isnan(remquol(x, y, &q)));
123 #ifdef STRICT
124 assert(q == 0xdeadbeef);
125 #endif
126 }
127
128 /* 0x012345 ==> 0x01ffff */
129 static inline int
mask(int x)130 mask(int x)
131 {
132 return ((unsigned)~0 >> (32 - fls(x)));
133 }
134
135 static void
testl(long double x,long double y,long double expected_rem,int expected_quo)136 testl(long double x, long double y, long double expected_rem, int expected_quo)
137 {
138 int q;
139
140 q = random();
141 assert(remainderl(x, y) == expected_rem);
142 assert(remquol(x, y, &q) == expected_rem);
143 assert((q & 0x7) == (expected_quo & 0x7));
144 if (q != 0) {
145 assert((q > 0) ^ !(expected_quo > 0));
146 q = abs(q);
147 assert(q == (abs(expected_quo) & mask(q)));
148 }
149 }
150
151 static void
testd(double x,double y,double expected_rem,int expected_quo)152 testd(double x, double y, double expected_rem, int expected_quo)
153 {
154 int q;
155
156 q = random();
157 assert(remainder(x, y) == expected_rem);
158 assert(remquo(x, y, &q) == expected_rem);
159 assert((q & 0x7) == (expected_quo & 0x7));
160 if (q != 0) {
161 assert((q > 0) ^ !(expected_quo > 0));
162 q = abs(q);
163 assert(q == (abs(expected_quo) & mask(q)));
164 }
165 }
166
167 static void
testf(float x,float y,float expected_rem,int expected_quo)168 testf(float x, float y, float expected_rem, int expected_quo)
169 {
170 int q;
171
172 q = random();
173 assert(remainderf(x, y) == expected_rem);
174 assert(remquof(x, y, &q) == expected_rem);
175 assert((q & 0x7) == (expected_quo & 0x7));
176 if (q != 0) {
177 assert((q > 0) ^ !(expected_quo > 0));
178 q = abs(q);
179 assert((q & mask(q)) == (abs(expected_quo) & mask(q)));
180 }
181 }
182