xref: /netbsd-src/tests/lib/libm/t_round.c (revision 34908c4889d4750464a0e4f157f4388273124901)
1 /* $NetBSD: t_round.c,v 1.10 2024/02/02 22:39:09 andvar 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 
37 /*
38  * This tests for a bug in the initial implementation where
39  * precision was lost in an internal subtraction, leading to
40  * rounding into the wrong direction.
41  */
42 
43 /* 0.5 - EPSILON */
44 #define VAL	0x0.7ffffffffffffcp0
45 #define VALF	0x0.7fffff8p0
46 #define VALL	(0.5 - LDBL_EPSILON)
47 
48 #ifdef __vax__
49 #define SMALL_NUM	1.0e-38
50 #else
51 #define SMALL_NUM	1.0e-40
52 #endif
53 
54 ATF_TC(round_dir);
ATF_TC_HEAD(round_dir,tc)55 ATF_TC_HEAD(round_dir, tc)
56 {
57 	atf_tc_set_md_var(tc, "descr","Check for rounding in wrong direction");
58 }
59 
ATF_TC_BODY(round_dir,tc)60 ATF_TC_BODY(round_dir, tc)
61 {
62 	double a = VAL, b, c;
63 	float af = VALF, bf, cf;
64 	long double al = VALL, bl, cl;
65 
66 	b = round(a);
67 	bf = roundf(af);
68 	bl = roundl(al);
69 
70 	ATF_CHECK(fabs(b) < SMALL_NUM);
71 	ATF_CHECK(fabsf(bf) < SMALL_NUM);
72 	ATF_CHECK(fabsl(bl) < SMALL_NUM);
73 
74 	c = round(-a);
75 	cf = roundf(-af);
76 	cl = roundl(-al);
77 
78 	ATF_CHECK(fabs(c) < SMALL_NUM);
79 	ATF_CHECK(fabsf(cf) < SMALL_NUM);
80 	ATF_CHECK(fabsl(cl) < SMALL_NUM);
81 }
82 
83 ATF_TC(rounding_alpha);
ATF_TC_HEAD(rounding_alpha,tc)84 ATF_TC_HEAD(rounding_alpha, tc)
85 {
86 	atf_tc_set_md_var(tc, "descr","Checking MPFR's config failure with -mieee on Alpha");
87 }
88 
89 typedef uint64_t gimpy_limb_t;
90 #define GIMPY_NUMB_BITS 64
91 
ATF_TC_BODY(rounding_alpha,tc)92 ATF_TC_BODY(rounding_alpha, tc)
93 {
94         double d;
95         gimpy_limb_t u;
96         int i;
97 
98         d = 1.0;
99         for (i = 0; i < GIMPY_NUMB_BITS - 1; i++)
100                 d = d + d;
101 
102         printf("d = %g\n", d);
103         u = (gimpy_limb_t) d;
104 
105         for (; i > 0; i--) {
106                 ATF_CHECK_MSG((u % 2 == 0),
107 		    "%"PRIu64" is not an even number! (iteration %d)", u , i);
108                 u = u >> 1;
109         }
110 }
111 
112 ATF_TC(rounding_alpha_simple);
ATF_TC_HEAD(rounding_alpha_simple,tc)113 ATF_TC_HEAD(rounding_alpha_simple, tc)
114 {
115 	atf_tc_set_md_var(tc, "descr","Checking double to uint64_t edge case");
116 }
117 
118 
119 double rounding_alpha_simple_even = 9223372036854775808.000000; /* 2^63 */
120 
ATF_TC_BODY(rounding_alpha_simple,tc)121 ATF_TC_BODY(rounding_alpha_simple, tc)
122 {
123 	uint64_t unsigned_even = rounding_alpha_simple_even;
124 
125 	ATF_CHECK_MSG(unsigned_even % 2 == 0,
126 	    "2^63 cast to uint64_t is odd (got %"PRIu64")", unsigned_even);
127 
128 }
ATF_TP_ADD_TCS(tp)129 ATF_TP_ADD_TCS(tp)
130 {
131 
132 	ATF_TP_ADD_TC(tp, round_dir);
133 	ATF_TP_ADD_TC(tp, rounding_alpha);
134 	ATF_TP_ADD_TC(tp, rounding_alpha_simple);
135 
136 	return atf_no_error();
137 }
138