1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
|
/*-
* Copyright (c) 2008 David Schultz <das@FreeBSD.org>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
/*
* Tests for corner cases in exp*().
*/
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
#include <fenv.h>
#include <float.h>
#include <math.h>
#include <stdio.h>
#ifdef __i386__
#include <ieeefp.h>
#endif
#include "test-utils.h"
#pragma STDC FENV_ACCESS ON
/*
* Test that a function returns the correct value and sets the
* exception flags correctly. The exceptmask specifies which
* exceptions we should check. We need to be lenient for several
* reasoons, but mainly because on some architectures it's impossible
* to raise FE_OVERFLOW without raising FE_INEXACT.
*
* These are macros instead of functions so that assert provides more
* meaningful error messages.
*
* XXX The volatile here is to avoid gcc's bogus constant folding and work
* around the lack of support for the FENV_ACCESS pragma.
*/
#define test(func, x, result, exceptmask, excepts) do { \
volatile long double _d = x; \
ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT)); \
CHECK_FPEQUAL((func)(_d), (result)); \
CHECK_FP_EXCEPTIONS_MSG(excepts, exceptmask, "for %s(%s)", \
#func, #x); \
} while (0)
/* Test all the functions that compute b^x. */
#define _testall0(x, result, exceptmask, excepts) do { \
test(exp, x, result, exceptmask, excepts); \
test(expf, x, result, exceptmask, excepts); \
test(exp2, x, result, exceptmask, excepts); \
test(exp2f, x, result, exceptmask, excepts); \
} while (0)
/* Skip over exp2l on platforms that don't support it. */
#if LDBL_PREC == 53
#define testall0 _testall0
#else
#define testall0(x, result, exceptmask, excepts) do { \
_testall0(x, result, exceptmask, excepts); \
test(exp2l, x, result, exceptmask, excepts); \
} while (0)
#endif
/* Test all the functions that compute b^x - 1. */
#define testall1(x, result, exceptmask, excepts) do { \
test(expm1, x, result, exceptmask, excepts); \
test(expm1f, x, result, exceptmask, excepts); \
} while (0)
static void
run_generic_tests(void)
{
/* exp(0) == 1, no exceptions raised */
testall0(0.0, 1.0, ALL_STD_EXCEPT, 0);
testall1(0.0, 0.0, ALL_STD_EXCEPT, 0);
testall0(-0.0, 1.0, ALL_STD_EXCEPT, 0);
testall1(-0.0, -0.0, ALL_STD_EXCEPT, 0);
/* exp(NaN) == NaN, no exceptions raised */
testall0(NAN, NAN, ALL_STD_EXCEPT, 0);
testall1(NAN, NAN, ALL_STD_EXCEPT, 0);
/* exp(Inf) == Inf, no exceptions raised */
testall0(INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
testall1(INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
/* exp(-Inf) == 0, no exceptions raised */
testall0(-INFINITY, 0.0, ALL_STD_EXCEPT, 0);
testall1(-INFINITY, -1.0, ALL_STD_EXCEPT, 0);
#if !defined(__i386__)
/* exp(big) == Inf, overflow exception */
testall0(50000.0, INFINITY, ALL_STD_EXCEPT & ~FE_INEXACT, FE_OVERFLOW);
testall1(50000.0, INFINITY, ALL_STD_EXCEPT & ~FE_INEXACT, FE_OVERFLOW);
/* exp(small) == 0, underflow and inexact exceptions */
testall0(-50000.0, 0.0, ALL_STD_EXCEPT, FE_UNDERFLOW | FE_INEXACT);
#endif
testall1(-50000.0, -1.0, ALL_STD_EXCEPT, FE_INEXACT);
}
/*
* We should insist that exp2() return exactly the correct
* result and not raise an inexact exception for integer
* arguments.
*/
ATF_TC_WITHOUT_HEAD(exp2f);
ATF_TC_BODY(exp2f, tc)
{
ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT));
for (int i = FLT_MIN_EXP - FLT_MANT_DIG; i < FLT_MAX_EXP; i++) {
ATF_CHECK_EQ(exp2f(i), ldexpf(1.0, i));
CHECK_FP_EXCEPTIONS(0, ALL_STD_EXCEPT);
}
}
ATF_TC_WITHOUT_HEAD(exp2);
ATF_TC_BODY(exp2, tc)
{
ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT));
for (int i = DBL_MIN_EXP - DBL_MANT_DIG; i < DBL_MAX_EXP; i++) {
ATF_CHECK_EQ(exp2(i), ldexp(1.0, i));
CHECK_FP_EXCEPTIONS(0, ALL_STD_EXCEPT);
}
}
ATF_TC_WITHOUT_HEAD(exp2l);
ATF_TC_BODY(exp2l, tc)
{
ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT));
for (int i = LDBL_MIN_EXP - LDBL_MANT_DIG; i < LDBL_MAX_EXP; i++) {
ATF_CHECK_EQ(exp2l(i), ldexpl(1.0, i));
CHECK_FP_EXCEPTIONS(0, ALL_STD_EXCEPT);
}
}
ATF_TC_WITHOUT_HEAD(generic);
ATF_TC_BODY(generic, tc)
{
run_generic_tests();
}
#ifdef __i386__
ATF_TC_WITHOUT_HEAD(generic_fp_pe);
ATF_TC_BODY(generic_fp_pe, tc)
{
fpsetprec(FP_PE);
run_generic_tests();
}
#endif
ATF_TP_ADD_TCS(tp)
{
ATF_TP_ADD_TC(tp, generic);
#ifdef __i386__
ATF_TP_ADD_TC(tp, generic_fp_pe);
#endif
ATF_TP_ADD_TC(tp, exp2);
ATF_TP_ADD_TC(tp, exp2f);
ATF_TP_ADD_TC(tp, exp2l);
return (atf_no_error());
}
|
