1 /*-
2  * Copyright (c) 2010 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-nearbyint.c,v 1.2 2011/10/21 06:36:40 das Exp $
27  */
28 
29 /*
30  * Tests for nearbyint{,f,l}()
31  *
32  * TODO:
33  * - adapt tests for rint(3)
34  * - tests for harder values (more mantissa bits than float)
35  */
36 
37 #include <assert.h>
38 #include <fenv.h>
39 #include <math.h>
40 #include <stdio.h>
41 
42 #define	ALL_STD_EXCEPT	(FE_DIVBYZERO | FE_INEXACT | FE_INVALID | \
43 			 FE_OVERFLOW | FE_UNDERFLOW)
44 
45 static int testnum;
46 
47 static const int rmodes[] = {
48 	FE_TONEAREST, FE_DOWNWARD, FE_UPWARD, FE_TOWARDZERO,
49 };
50 
51 static const struct {
52 	float in;
53 	float out[3];	/* one answer per rounding mode except towardzero */
54 } tests[] = {
55 /* input	output (expected) */
56     { 0.0,	{ 0.0, 0.0, 0.0 }},
57     { 0.5,	{ 0.0, 0.0, 1.0 }},
58     { M_PI,	{ 3.0, 3.0, 4.0 }},
59     { 65536.5,	{ 65536, 65536, 65537 }},
60     { INFINITY,	{ INFINITY, INFINITY, INFINITY }},
61     { NAN,	{ NAN, NAN, NAN }},
62 };
63 
64 static const int ntests = sizeof(tests) / sizeof(tests[0]);
65 
66 /*
67  * Compare d1 and d2 using special rules: NaN == NaN and +0 != -0.
68  * Fail an assertion if they differ.
69  */
70 static int
71 fpequal(long double d1, long double d2)
72 {
73 
74 	if (d1 != d2)
75 		return (isnan(d1) && isnan(d2));
76 	return (copysignl(1.0, d1) == copysignl(1.0, d2));
77 }
78 
79 /* Get the appropriate result for the current rounding mode. */
80 static float
81 get_output(int testindex, int rmodeindex, int negative)
82 {
83 	double out;
84 
85 	if (negative) {	/* swap downwards and upwards if input is negative */
86 		if (rmodeindex == 1)
87 			rmodeindex = 2;
88 		else if (rmodeindex == 2)
89 			rmodeindex = 1;
90 	}
91 	if (rmodeindex == 3) /* FE_TOWARDZERO uses the value for downwards */
92 		rmodeindex = 1;
93 	out = tests[testindex].out[rmodeindex];
94 	return (negative ? -out : out);
95 }
96 
97 static void
98 test_nearby(int testindex)
99 {
100 	float in, out;
101 	int i;
102 
103 	for (i = 0; i < sizeof(rmodes) / sizeof(rmodes[0]); i++) {
104 		fesetround(rmodes[i]);
105 		feclearexcept(ALL_STD_EXCEPT);
106 
107 		in = tests[testindex].in;
108 		out = get_output(testindex, i, 0);
109 		assert(fpequal(out, nearbyintf(in)));
110 		assert(fpequal(out, nearbyint(in)));
111 		assert(fpequal(out, nearbyintl(in)));
112 		assert(fetestexcept(ALL_STD_EXCEPT) == 0);
113 
114 		in = -tests[testindex].in;
115 		out = get_output(testindex, i, 1);
116 		assert(fpequal(out, nearbyintf(in)));
117 		assert(fpequal(out, nearbyint(in)));
118 		assert(fpequal(out, nearbyintl(in)));
119 		assert(fetestexcept(ALL_STD_EXCEPT) == 0);
120 	}
121 
122 	printf("ok %d\t\t# nearbyint(+%g)\n", testnum++, in);
123 }
124 
125 static void
126 test_modf(int testindex)
127 {
128 	float in, out;
129 	float ipartf, ipart_expected;
130 	double ipart;
131 	long double ipartl;
132 	int i;
133 
134 	for (i = 0; i < sizeof(rmodes) / sizeof(rmodes[0]); i++) {
135 		fesetround(rmodes[i]);
136 		feclearexcept(ALL_STD_EXCEPT);
137 
138 		in = tests[testindex].in;
139 		ipart_expected = tests[testindex].out[1];
140 		out = copysignf(
141 		    isinf(ipart_expected) ? 0.0 : in - ipart_expected, in);
142 		ipartl = ipart = ipartf = 42.0;
143 
144 		assert(fpequal(out, modff(in, &ipartf)));
145 		assert(fpequal(ipart_expected, ipartf));
146 		assert(fpequal(out, modf(in, &ipart)));
147 		assert(fpequal(ipart_expected, ipart));
148 		assert(fpequal(out, modfl(in, &ipartl)));
149 		assert(fpequal(ipart_expected, ipartl));
150 		assert(fetestexcept(ALL_STD_EXCEPT) == 0);
151 
152 		in = -in;
153 		ipart_expected = -ipart_expected;
154 		out = -out;
155 		ipartl = ipart = ipartf = 42.0;
156 		assert(fpequal(out, modff(in, &ipartf)));
157 		assert(fpequal(ipart_expected, ipartf));
158 		assert(fpequal(out, modf(in, &ipart)));
159 		assert(fpequal(ipart_expected, ipart));
160 		assert(fpequal(out, modfl(in, &ipartl)));
161 		assert(fpequal(ipart_expected, ipartl));
162 		assert(fetestexcept(ALL_STD_EXCEPT) == 0);
163 	}
164 
165 	printf("ok %d\t\t# modf(+%g)\n", testnum++, in);
166 }
167 
168 int
169 main(int argc, char *argv[])
170 {
171 	int i;
172 
173 	printf("1..%d\n", ntests * 2);
174 	testnum = 1;
175 	for (i = 0; i < ntests; i++) {
176 		test_nearby(i);
177 		test_modf(i);
178 	}
179 
180 	return (0);
181 }
182