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
|
/*
* Copyright 2017 Google
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#import "Util/FSTComparison.h"
#import <XCTest/XCTest.h>
union DoubleBits {
double d;
uint64_t bits;
};
#define ASSERT_BIT_EQUALS(expected, actual) \
do { \
union DoubleBits expectedBits = {.d = expected}; \
union DoubleBits actualBits = {.d = expected}; \
if (expectedBits.bits != actualBits.bits) { \
XCTFail(@"Expected <%f> to compare equal to <%f> with bits <%llX> equal to <%llX>", actual, \
expected, actualBits.bits, expectedBits.bits); \
} \
} while (0);
#define ASSERT_ORDERED_SAME(doubleValue, longValue) \
do { \
NSComparisonResult result = FSTCompareMixed(doubleValue, longValue); \
if (result != NSOrderedSame) { \
XCTFail(@"Expected <%f> to compare equal to <%lld>", doubleValue, longValue); \
} \
} while (0);
#define ASSERT_ORDERED_DESCENDING(doubleValue, longValue) \
do { \
NSComparisonResult result = FSTCompareMixed(doubleValue, longValue); \
if (result != NSOrderedDescending) { \
XCTFail(@"Expected <%f> to compare equal to <%lld>", doubleValue, longValue); \
} \
} while (0);
#define ASSERT_ORDERED_ASCENDING(doubleValue, longValue) \
do { \
NSComparisonResult result = FSTCompareMixed(doubleValue, longValue); \
if (result != NSOrderedAscending) { \
XCTFail(@"Expected <%f> to compare equal to <%lld>", doubleValue, longValue); \
} \
} while (0);
@interface FSTComparisonTests : XCTestCase
@end
@implementation FSTComparisonTests
- (void)testMixedComparison {
// Infinities
ASSERT_ORDERED_ASCENDING(-INFINITY, LLONG_MIN);
ASSERT_ORDERED_ASCENDING(-INFINITY, LLONG_MAX);
ASSERT_ORDERED_ASCENDING(-INFINITY, 0LL);
ASSERT_ORDERED_DESCENDING(INFINITY, LLONG_MIN);
ASSERT_ORDERED_DESCENDING(INFINITY, LLONG_MAX);
ASSERT_ORDERED_DESCENDING(INFINITY, 0LL);
// NaN
ASSERT_ORDERED_ASCENDING(NAN, LLONG_MIN);
ASSERT_ORDERED_ASCENDING(NAN, LLONG_MAX);
ASSERT_ORDERED_ASCENDING(NAN, 0LL);
// Large values (note DBL_MIN is positive and near zero).
ASSERT_ORDERED_ASCENDING(-DBL_MAX, LLONG_MIN);
// Tests around LLONG_MIN
ASSERT_BIT_EQUALS((double)LLONG_MIN, -0x1.0p63);
ASSERT_ORDERED_SAME(-0x1.0p63, LLONG_MIN);
ASSERT_ORDERED_ASCENDING(-0x1.0p63, LLONG_MIN + 1);
XCTAssertLessThan(-0x1.0000000000001p63, -0x1.0p63);
ASSERT_ORDERED_ASCENDING(-0x1.0000000000001p63, LLONG_MIN);
ASSERT_ORDERED_DESCENDING(-0x1.FFFFFFFFFFFFFp62, LLONG_MIN);
// Tests around LLONG_MAX
// Note LLONG_MAX cannot be exactly represented by a double, so the system rounds it to the
// nearest double, which is 2^63. This number, in turn is larger than the maximum representable
// as a long.
ASSERT_BIT_EQUALS(0x1.0p63, (double)LLONG_MAX);
ASSERT_ORDERED_DESCENDING(0x1.0p63, LLONG_MAX);
// The largest value with an exactly long representation
XCTAssertEqual((long)0x1.FFFFFFFFFFFFFp62, 0x7FFFFFFFFFFFFC00LL);
ASSERT_ORDERED_SAME(0x1.FFFFFFFFFFFFFp62, 0x7FFFFFFFFFFFFC00LL);
ASSERT_ORDERED_DESCENDING(0x1.FFFFFFFFFFFFFp62, 0x7FFFFFFFFFFFFB00LL);
ASSERT_ORDERED_DESCENDING(0x1.FFFFFFFFFFFFFp62, 0x7FFFFFFFFFFFFBFFLL);
ASSERT_ORDERED_ASCENDING(0x1.FFFFFFFFFFFFFp62, 0x7FFFFFFFFFFFFC01LL);
ASSERT_ORDERED_ASCENDING(0x1.FFFFFFFFFFFFFp62, 0x7FFFFFFFFFFFFD00LL);
ASSERT_ORDERED_ASCENDING(0x1.FFFFFFFFFFFFEp62, 0x7FFFFFFFFFFFFC00LL);
// Tests around MAX_SAFE_INTEGER
ASSERT_ORDERED_SAME(0x1.FFFFFFFFFFFFFp52, 0x1FFFFFFFFFFFFFLL);
ASSERT_ORDERED_DESCENDING(0x1.FFFFFFFFFFFFFp52, 0x1FFFFFFFFFFFFELL);
ASSERT_ORDERED_ASCENDING(0x1.FFFFFFFFFFFFEp52, 0x1FFFFFFFFFFFFFLL);
ASSERT_ORDERED_ASCENDING(0x1.FFFFFFFFFFFFFp52, 0x20000000000000LL);
// Tests around MIN_SAFE_INTEGER
ASSERT_ORDERED_SAME(-0x1.FFFFFFFFFFFFFp52, -0x1FFFFFFFFFFFFFLL);
ASSERT_ORDERED_ASCENDING(-0x1.FFFFFFFFFFFFFp52, -0x1FFFFFFFFFFFFELL);
ASSERT_ORDERED_DESCENDING(-0x1.FFFFFFFFFFFFEp52, -0x1FFFFFFFFFFFFFLL);
ASSERT_ORDERED_DESCENDING(-0x1.FFFFFFFFFFFFFp52, -0x20000000000000LL);
// Tests around zero.
ASSERT_ORDERED_SAME(-0.0, 0LL);
ASSERT_ORDERED_SAME(0.0, 0LL);
// The smallest representable positive value should be greater than zero
ASSERT_ORDERED_DESCENDING(DBL_MIN, 0LL);
ASSERT_ORDERED_ASCENDING(-DBL_MIN, 0LL);
// Note that 0x1.0p-1074 is a hex floating point literal representing the minimum subnormal
// number: <https://en.wikipedia.org/wiki/Denormal_number>.
double minSubNormal = 0x1.0p-1074;
ASSERT_ORDERED_DESCENDING(minSubNormal, 0LL);
ASSERT_ORDERED_ASCENDING(-minSubNormal, 0LL);
// Other sanity checks
ASSERT_ORDERED_ASCENDING(0.5, 1LL);
ASSERT_ORDERED_DESCENDING(0.5, 0LL);
ASSERT_ORDERED_ASCENDING(1.5, 2LL);
ASSERT_ORDERED_DESCENDING(1.5, 1LL);
}
@end
|
