1 /* $NetBSD: t_round.c,v 1.9 2017/09/03 13:41:19 wiz Exp $ */
2 
3 /*-
4  * Copyright (c) 2011 The NetBSD Foundation, Inc.
5  * All rights reserved.
6  *
7  * Redistribution and use in source and binary forms, with or without
8  * modification, are permitted provided that the following conditions
9  * are met:
10  * 1. Redistributions of source code must retain the above copyright
11  *    notice, this list of conditions and the following disclaimer.
12  * 2. Redistributions in binary form must reproduce the above copyright
13  *    notice, this list of conditions and the following disclaimer in the
14  *    documentation and/or other materials provided with the distribution.
15  *
16  * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
17  * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
18  * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
19  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
20  * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
21  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
22  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
23  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
24  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
25  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
26  * POSSIBILITY OF SUCH DAMAGE.
27  */
28 
29 #include <sys/param.h>
30 
31 #include <atf-c.h>
32 #include <float.h>
33 #include <math.h>
34 #include <stdio.h>
35 #include <stdint.h>
36 #include <inttypes.h>
37 
38 /*
39  * This tests for a bug in the initial implementation where
40  * precision was lost in an internal substraction, leading to
41  * rounding into the wrong direction.
42  */
43 
44 /* 0.5 - EPSILON */
45 #define VAL	0x0.7ffffffffffffcp0
46 #define VALF	0x0.7fffff8p0
47 #define VALL	(0.5 - LDBL_EPSILON)
48 
49 #ifdef __vax__
50 #define SMALL_NUM	1.0e-38
51 #else
52 #define SMALL_NUM	1.0e-40
53 #endif
54 
55 ATF_TC(round_dir);
56 ATF_TC_HEAD(round_dir, tc)
57 {
58 	atf_tc_set_md_var(tc, "descr","Check for rounding in wrong direction");
59 }
60 
61 ATF_TC_BODY(round_dir, tc)
62 {
63 	double a = VAL, b, c;
64 	float af = VALF, bf, cf;
65 	long double al = VALL, bl, cl;
66 
67 	b = round(a);
68 	bf = roundf(af);
69 	bl = roundl(al);
70 
71 	ATF_CHECK(fabs(b) < SMALL_NUM);
72 	ATF_CHECK(fabsf(bf) < SMALL_NUM);
73 	ATF_CHECK(fabsl(bl) < SMALL_NUM);
74 
75 	c = round(-a);
76 	cf = roundf(-af);
77 	cl = roundl(-al);
78 
79 	ATF_CHECK(fabs(c) < SMALL_NUM);
80 	ATF_CHECK(fabsf(cf) < SMALL_NUM);
81 	ATF_CHECK(fabsl(cl) < SMALL_NUM);
82 }
83 
84 ATF_TC(rounding_alpha);
85 ATF_TC_HEAD(rounding_alpha, tc)
86 {
87 	atf_tc_set_md_var(tc, "descr","Checking MPFR's config failure with -mieee on Alpha");
88 }
89 
90 typedef uint64_t gimpy_limb_t;
91 #define GIMPY_NUMB_BITS 64
92 
93 ATF_TC_BODY(rounding_alpha, tc)
94 {
95         double d;
96         gimpy_limb_t u;
97         int i;
98 
99         d = 1.0;
100         for (i = 0; i < GIMPY_NUMB_BITS - 1; i++)
101                 d = d + d;
102 
103         printf("d = %g\n", d);
104         u = (gimpy_limb_t) d;
105 
106         for (; i > 0; i--) {
107                 ATF_CHECK_MSG((u % 2 == 0),
108 		    "%"PRIu64" is not an even number! (iteration %d)", u , i);
109                 u = u >> 1;
110         }
111 }
112 
113 ATF_TC(rounding_alpha_simple);
114 ATF_TC_HEAD(rounding_alpha_simple, tc)
115 {
116 	atf_tc_set_md_var(tc, "descr","Checking double to uint64_t edge case");
117 }
118 
119 
120 static double rounding_alpha_simple_even = 9223372036854775808.000000; /* 2^63 */
121 
122 ATF_TC_BODY(rounding_alpha_simple, tc)
123 {
124 	uint64_t unsigned_even = rounding_alpha_simple_even;
125 
126 	ATF_CHECK_MSG(unsigned_even % 2 == 0,
127 	    "2^63 cast to uint64_t is odd (got %"PRIu64")", unsigned_even);
128 
129 }
130 ATF_TP_ADD_TCS(tp)
131 {
132 
133 	ATF_TP_ADD_TC(tp, round_dir);
134 	ATF_TP_ADD_TC(tp, rounding_alpha);
135 	ATF_TP_ADD_TC(tp, rounding_alpha_simple);
136 
137 	return atf_no_error();
138 }
139