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 <float.h>
34 #include <math.h>
35 #include <stdio.h>
36 #include <stdlib.h>
37 #include <strings.h>
38
39 #include "test-utils.h"
40
41 static void test_invalid(long double, long double);
42 static void testl(long double, long double, long double, int);
43 static void testd(double, double, double, int);
44 static void testf(float, float, float, int);
45
46 #define test(x, y, e_r, e_q) do { \
47 testl(x, y, e_r, e_q); \
48 testd(x, y, e_r, e_q); \
49 testf(x, y, e_r, e_q); \
50 } while (0)
51
52 ATF_TC_WITHOUT_HEAD(rem1);
ATF_TC_BODY(rem1,tc)53 ATF_TC_BODY(rem1, tc)
54 {
55 test_invalid(0.0, 0.0);
56 test_invalid(1.0, 0.0);
57 test_invalid(INFINITY, 0.0);
58 test_invalid(INFINITY, 1.0);
59 test_invalid(-INFINITY, 1.0);
60 test_invalid(NAN, 1.0);
61 test_invalid(1.0, NAN);
62
63 test(4, 4, 0, 1);
64 test(0, 3.0, 0, 0);
65 testd(0x1p-1074, 1, 0x1p-1074, 0);
66 testf(0x1p-149, 1, 0x1p-149, 0);
67 test(3.0, 4, -1, 1);
68 test(3.0, -4, -1, -1);
69 testd(275 * 1193040, 275, 0, 1193040);
70 test(4.5 * 7.5, 4.5, -2.25, 8); /* we should get the even one */
71 testf(0x1.9044f6p-1, 0x1.ce662ep-1, -0x1.f109cp-4, 1);
72 #if LDBL_MANT_DIG > 53
73 testl(-0x1.23456789abcdefp-2000L, 0x1.fedcba987654321p-2000L,
74 0x1.b72ea61d950c862p-2001L, -1);
75 #endif
76 }
77
78 ATF_TC_WITHOUT_HEAD(rem2);
ATF_TC_BODY(rem2,tc)79 ATF_TC_BODY(rem2, tc)
80 {
81 /*
82 * The actual quotient here is 864062210.50000003..., but
83 * double-precision division gets -8.64062210.5, which rounds
84 * the wrong way. This test ensures that remquo() is smart
85 * enough to get the low-order bit right.
86 */
87 testd(-0x1.98260f22fc6dep-302, 0x1.fb3167c430a13p-332,
88 0x1.fb3165b82de72p-333, -864062211);
89 /* Even harder cases with greater exponent separation */
90 test(0x1.fp100, 0x1.ep-40, -0x1.cp-41, 143165577);
91 testd(-0x1.abcdefp120, 0x1.87654321p-120, -0x1.69c78ec4p-121,
92 -63816414);
93 }
94
95 ATF_TC_WITHOUT_HEAD(rem3);
ATF_TC_BODY(rem3,tc)96 ATF_TC_BODY(rem3, tc)
97 {
98 test(0x1.66666cp+120, 0x1p+71, 0.0, 1476395008);
99 testd(-0x1.0000000000003p+0, 0x1.0000000000003p+0, -0.0, -1);
100 testl(-0x1.0000000000003p+0, 0x1.0000000000003p+0, -0.0, -1);
101 testd(-0x1.0000000000001p-749, 0x1.4p-1072, 0x1p-1074, -1288490189);
102 testl(-0x1.0000000000001p-749, 0x1.4p-1072, 0x1p-1074, -1288490189);
103 }
104
105 static void
test_invalid(long double x,long double y)106 test_invalid(long double x, long double y)
107 {
108 int q;
109
110 q = 0xdeadbeef;
111
112 ATF_CHECK(isnan(remainder(x, y)));
113 ATF_CHECK(isnan(remquo(x, y, &q)));
114 #ifdef STRICT
115 ATF_CHECK(q == 0xdeadbeef);
116 #endif
117
118 ATF_CHECK(isnan(remainderf(x, y)));
119 ATF_CHECK(isnan(remquof(x, y, &q)));
120 #ifdef STRICT
121 ATF_CHECK(q == 0xdeadbeef);
122 #endif
123
124 ATF_CHECK(isnan(remainderl(x, y)));
125 ATF_CHECK(isnan(remquol(x, y, &q)));
126 #ifdef STRICT
127 ATF_CHECK(q == 0xdeadbeef);
128 #endif
129 }
130
131 /* 0x012345 ==> 0x01ffff */
132 static inline int
mask(int x)133 mask(int x)
134 {
135 return ((unsigned)~0 >> (32 - fls(x)));
136 }
137
138 static void
testl(long double x,long double y,long double expected_rem,int expected_quo)139 testl(long double x, long double y, long double expected_rem, int expected_quo)
140 {
141 int q;
142 long double rem;
143
144 q = random();
145 rem = remainderl(x, y);
146 ATF_CHECK(rem == expected_rem);
147 ATF_CHECK(!signbit(rem) == !signbit(expected_rem));
148 rem = remquol(x, y, &q);
149 ATF_CHECK(rem == expected_rem);
150 ATF_CHECK(!signbit(rem) == !signbit(expected_rem));
151 ATF_CHECK((q ^ expected_quo) >= 0); /* sign(q) == sign(expected_quo) */
152 ATF_CHECK((q & 0x7) == (expected_quo & 0x7));
153 if (q != 0) {
154 ATF_CHECK((q > 0) ^ !(expected_quo > 0));
155 q = abs(q);
156 ATF_CHECK(q == (abs(expected_quo) & mask(q)));
157 }
158 }
159
160 static void
testd(double x,double y,double expected_rem,int expected_quo)161 testd(double x, double y, double expected_rem, int expected_quo)
162 {
163 int q;
164 double rem;
165
166 q = random();
167 rem = remainder(x, y);
168 ATF_CHECK(rem == expected_rem);
169 ATF_CHECK(!signbit(rem) == !signbit(expected_rem));
170 rem = remquo(x, y, &q);
171 ATF_CHECK(rem == expected_rem);
172 ATF_CHECK(!signbit(rem) == !signbit(expected_rem));
173 ATF_CHECK((q ^ expected_quo) >= 0); /* sign(q) == sign(expected_quo) */
174 ATF_CHECK((q & 0x7) == (expected_quo & 0x7));
175 if (q != 0) {
176 ATF_CHECK((q > 0) ^ !(expected_quo > 0));
177 q = abs(q);
178 ATF_CHECK(q == (abs(expected_quo) & mask(q)));
179 }
180 }
181
182 static void
testf(float x,float y,float expected_rem,int expected_quo)183 testf(float x, float y, float expected_rem, int expected_quo)
184 {
185 int q;
186 float rem;
187
188 q = random();
189 rem = remainderf(x, y);
190 ATF_CHECK(rem == expected_rem);
191 ATF_CHECK(!signbit(rem) == !signbit(expected_rem));
192 rem = remquof(x, y, &q);
193 ATF_CHECK(rem == expected_rem);
194 ATF_CHECK(!signbit(rem) == !signbit(expected_rem));
195 ATF_CHECK((q ^ expected_quo) >= 0); /* sign(q) == sign(expected_quo) */
196 ATF_CHECK((q & 0x7) == (expected_quo & 0x7));
197 if (q != 0) {
198 ATF_CHECK((q > 0) ^ !(expected_quo > 0));
199 q = abs(q);
200 ATF_CHECK((q & mask(q)) == (abs(expected_quo) & mask(q)));
201 }
202 }
203
ATF_TP_ADD_TCS(tp)204 ATF_TP_ADD_TCS(tp)
205 {
206 ATF_TP_ADD_TC(tp, rem1);
207 ATF_TP_ADD_TC(tp, rem2);
208 ATF_TP_ADD_TC(tp, rem3);
209
210 return (atf_no_error());
211 }
212