2 * Copyright (c) 2008 David Schultz <das@FreeBSD.org>
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
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.
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
28 * Tests for corner cases in exp*().
31 #include <sys/cdefs.h>
32 __FBSDID("$FreeBSD$");
43 #include "test-utils.h"
45 #pragma STDC FENV_ACCESS ON
48 * Test that a function returns the correct value and sets the
49 * exception flags correctly. The exceptmask specifies which
50 * exceptions we should check. We need to be lenient for several
51 * reasoons, but mainly because on some architectures it's impossible
52 * to raise FE_OVERFLOW without raising FE_INEXACT.
54 * These are macros instead of functions so that assert provides more
55 * meaningful error messages.
57 * XXX The volatile here is to avoid gcc's bogus constant folding and work
58 * around the lack of support for the FENV_ACCESS pragma.
60 #define test(func, x, result, exceptmask, excepts) do { \
61 volatile long double _d = x; \
62 ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT)); \
63 CHECK_FPEQUAL((func)(_d), (result)); \
64 CHECK_FP_EXCEPTIONS_MSG(excepts, exceptmask, "for %s(%s)", \
68 /* Test all the functions that compute b^x. */
69 #define _testall0(x, result, exceptmask, excepts) do { \
70 test(exp, x, result, exceptmask, excepts); \
71 test(expf, x, result, exceptmask, excepts); \
72 test(exp2, x, result, exceptmask, excepts); \
73 test(exp2f, x, result, exceptmask, excepts); \
76 /* Skip over exp2l on platforms that don't support it. */
78 #define testall0 _testall0
80 #define testall0(x, result, exceptmask, excepts) do { \
81 _testall0(x, result, exceptmask, excepts); \
82 test(exp2l, x, result, exceptmask, excepts); \
86 /* Test all the functions that compute b^x - 1. */
87 #define testall1(x, result, exceptmask, excepts) do { \
88 test(expm1, x, result, exceptmask, excepts); \
89 test(expm1f, x, result, exceptmask, excepts); \
93 run_generic_tests(void)
96 /* exp(0) == 1, no exceptions raised */
97 testall0(0.0, 1.0, ALL_STD_EXCEPT, 0);
98 testall1(0.0, 0.0, ALL_STD_EXCEPT, 0);
99 testall0(-0.0, 1.0, ALL_STD_EXCEPT, 0);
100 testall1(-0.0, -0.0, ALL_STD_EXCEPT, 0);
102 /* exp(NaN) == NaN, no exceptions raised */
103 testall0(NAN, NAN, ALL_STD_EXCEPT, 0);
104 testall1(NAN, NAN, ALL_STD_EXCEPT, 0);
106 /* exp(Inf) == Inf, no exceptions raised */
107 testall0(INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
108 testall1(INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
110 /* exp(-Inf) == 0, no exceptions raised */
111 testall0(-INFINITY, 0.0, ALL_STD_EXCEPT, 0);
112 testall1(-INFINITY, -1.0, ALL_STD_EXCEPT, 0);
114 #if !defined(__i386__)
115 /* exp(big) == Inf, overflow exception */
116 testall0(50000.0, INFINITY, ALL_STD_EXCEPT & ~FE_INEXACT, FE_OVERFLOW);
117 testall1(50000.0, INFINITY, ALL_STD_EXCEPT & ~FE_INEXACT, FE_OVERFLOW);
119 /* exp(small) == 0, underflow and inexact exceptions */
120 testall0(-50000.0, 0.0, ALL_STD_EXCEPT, FE_UNDERFLOW | FE_INEXACT);
122 testall1(-50000.0, -1.0, ALL_STD_EXCEPT, FE_INEXACT);
127 * We should insist that exp2() return exactly the correct
128 * result and not raise an inexact exception for integer
131 ATF_TC_WITHOUT_HEAD(exp2f);
132 ATF_TC_BODY(exp2f, tc)
134 ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT));
135 for (int i = FLT_MIN_EXP - FLT_MANT_DIG; i < FLT_MAX_EXP; i++) {
136 ATF_CHECK_EQ(exp2f(i), ldexpf(1.0, i));
137 CHECK_FP_EXCEPTIONS(0, ALL_STD_EXCEPT);
141 ATF_TC_WITHOUT_HEAD(exp2);
142 ATF_TC_BODY(exp2, tc)
144 ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT));
145 for (int i = DBL_MIN_EXP - DBL_MANT_DIG; i < DBL_MAX_EXP; i++) {
146 ATF_CHECK_EQ(exp2(i), ldexp(1.0, i));
147 CHECK_FP_EXCEPTIONS(0, ALL_STD_EXCEPT);
151 ATF_TC_WITHOUT_HEAD(exp2l);
152 ATF_TC_BODY(exp2l, tc)
154 ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT));
155 for (int i = LDBL_MIN_EXP - LDBL_MANT_DIG; i < LDBL_MAX_EXP; i++) {
156 ATF_CHECK_EQ(exp2l(i), ldexpl(1.0, i));
157 CHECK_FP_EXCEPTIONS(0, ALL_STD_EXCEPT);
161 ATF_TC_WITHOUT_HEAD(generic);
162 ATF_TC_BODY(generic, tc)
168 ATF_TC_WITHOUT_HEAD(generic_fp_pe);
169 ATF_TC_BODY(generic_fp_pe, tc)
178 ATF_TP_ADD_TC(tp, generic);
180 ATF_TP_ADD_TC(tp, generic_fp_pe);
182 ATF_TP_ADD_TC(tp, exp2);
183 ATF_TP_ADD_TC(tp, exp2f);
184 ATF_TP_ADD_TC(tp, exp2l);
186 return (atf_no_error());