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1 /* | |
2 * Copyright (C) 2012 Intel Corporation | |
3 * | |
4 * Redistribution and use in source and binary forms, with or without | |
5 * modification, are permitted provided that the following conditions | |
6 * are met: | |
7 * 1. Redistributions of source code must retain the above copyright | |
8 * notice, this list of conditions and the following disclaimer. | |
9 * 2. Redistributions in binary form must reproduce the above copyright | |
10 * notice, this list of conditions and the following disclaimer in the | |
11 * documentation and/or other materials provided with the distribution. | |
12 * | |
13 * THIS SOFTWARE IS PROVIDED BY APPLE INC. AND ITS CONTRIBUTORS ``AS IS'' | |
14 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, | |
15 * THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
16 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL APPLE INC. OR ITS CONTRIBUTORS | |
17 * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | |
18 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | |
19 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | |
20 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | |
21 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
22 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF | |
23 * THE POSSIBILITY OF SUCH DAMAGE. | |
24 */ | |
25 | |
26 #include "wtf/MathExtras.h" | |
27 | |
28 #include "testing/gtest/include/gtest/gtest.h" | |
29 | |
30 namespace WTF { | |
31 | |
32 TEST(MathExtrasTest, Lrint) { | |
33 EXPECT_EQ(-8, lrint(-7.5)); | |
34 EXPECT_EQ(-8, lrint(-8.5)); | |
35 EXPECT_EQ(0, lrint(-0.5)); | |
36 EXPECT_EQ(0, lrint(0.5)); | |
37 EXPECT_EQ(0, lrint(-0.5)); | |
38 EXPECT_EQ(1, lrint(1.3)); | |
39 EXPECT_EQ(2, lrint(1.7)); | |
40 EXPECT_EQ(0, lrint(0)); | |
41 EXPECT_EQ(0, lrint(-0)); | |
42 if (sizeof(long int) == 8) { | |
43 // Largest double number with 0.5 precision and one halfway rounding case | |
44 // below. | |
45 EXPECT_EQ(pow(2.0, 52), lrint(pow(2.0, 52) - 0.5)); | |
46 EXPECT_EQ(pow(2.0, 52) - 2, lrint(pow(2.0, 52) - 1.5)); | |
47 // Smallest double number with 0.5 precision and one halfway rounding case | |
48 // above. | |
49 EXPECT_EQ(-pow(2.0, 52), lrint(-pow(2.0, 52) + 0.5)); | |
50 EXPECT_EQ(-pow(2.0, 52) + 2, lrint(-pow(2.0, 52) + 1.5)); | |
51 } | |
52 } | |
53 | |
54 TEST(MathExtrasTest, clampToIntLong) { | |
55 if (sizeof(long) == sizeof(int)) | |
56 return; | |
57 | |
58 long maxInt = std::numeric_limits<int>::max(); | |
59 long minInt = std::numeric_limits<int>::min(); | |
60 long overflowInt = maxInt + 1; | |
61 long underflowInt = minInt - 1; | |
62 | |
63 EXPECT_GT(overflowInt, maxInt); | |
64 EXPECT_LT(underflowInt, minInt); | |
65 | |
66 EXPECT_EQ(maxInt, clampTo<int>(maxInt)); | |
67 EXPECT_EQ(minInt, clampTo<int>(minInt)); | |
68 | |
69 EXPECT_EQ(maxInt, clampTo<int>(overflowInt)); | |
70 EXPECT_EQ(minInt, clampTo<int>(underflowInt)); | |
71 } | |
72 | |
73 TEST(MathExtrasTest, clampToIntLongLong) { | |
74 long long maxInt = std::numeric_limits<int>::max(); | |
75 long long minInt = std::numeric_limits<int>::min(); | |
76 long long overflowInt = maxInt + 1; | |
77 long long underflowInt = minInt - 1; | |
78 | |
79 EXPECT_GT(overflowInt, maxInt); | |
80 EXPECT_LT(underflowInt, minInt); | |
81 | |
82 EXPECT_EQ(maxInt, clampTo<int>(maxInt)); | |
83 EXPECT_EQ(minInt, clampTo<int>(minInt)); | |
84 | |
85 EXPECT_EQ(maxInt, clampTo<int>(overflowInt)); | |
86 EXPECT_EQ(minInt, clampTo<int>(underflowInt)); | |
87 } | |
88 | |
89 TEST(MathExtrasTest, clampToIntFloat) { | |
90 float maxInt = static_cast<float>(std::numeric_limits<int>::max()); | |
91 float minInt = static_cast<float>(std::numeric_limits<int>::min()); | |
92 float overflowInt = maxInt * 1.1f; | |
93 float underflowInt = minInt * 1.1f; | |
94 | |
95 EXPECT_GT(overflowInt, maxInt); | |
96 EXPECT_LT(underflowInt, minInt); | |
97 | |
98 EXPECT_EQ(maxInt, clampTo<int>(maxInt)); | |
99 EXPECT_EQ(minInt, clampTo<int>(minInt)); | |
100 | |
101 EXPECT_EQ(maxInt, clampTo<int>(overflowInt)); | |
102 EXPECT_EQ(minInt, clampTo<int>(underflowInt)); | |
103 | |
104 // This value and the value one greater are typically represented the same | |
105 // way when stored in a 32-bit float. Make sure clamping does not cause us | |
106 // to erroneously jump to the larger value. | |
107 int nearFloatPrecisionLimit = 2147483520; | |
108 EXPECT_EQ(nearFloatPrecisionLimit, | |
109 clampTo<int>(static_cast<float>(nearFloatPrecisionLimit), 0, | |
110 nearFloatPrecisionLimit + 1)); | |
111 EXPECT_EQ(-nearFloatPrecisionLimit, | |
112 clampTo<int>(static_cast<float>(-nearFloatPrecisionLimit), | |
113 -nearFloatPrecisionLimit - 1, 0)); | |
114 } | |
115 | |
116 TEST(MathExtrasTest, clampToIntDouble) { | |
117 int maxInt = std::numeric_limits<int>::max(); | |
118 int minInt = std::numeric_limits<int>::min(); | |
119 double almostOverflowInt = maxInt - 0.5; | |
120 double overflowInt = maxInt + 0.5; | |
121 double almostUnderflowInt = minInt + 0.5; | |
122 double underflowInt = minInt - 0.5; | |
123 | |
124 EXPECT_LT(almostOverflowInt, maxInt); | |
125 EXPECT_GT(overflowInt, maxInt); | |
126 EXPECT_GT(almostUnderflowInt, minInt); | |
127 EXPECT_LT(underflowInt, minInt); | |
128 | |
129 EXPECT_EQ(maxInt, clampTo<int>(static_cast<double>(maxInt))); | |
130 EXPECT_EQ(minInt, clampTo<int>(static_cast<double>(minInt))); | |
131 | |
132 EXPECT_EQ(maxInt - 1, clampTo<int>(almostOverflowInt)); | |
133 EXPECT_EQ(maxInt, clampTo<int>(overflowInt)); | |
134 EXPECT_EQ(minInt + 1, clampTo<int>(almostUnderflowInt)); | |
135 EXPECT_EQ(minInt, clampTo<int>(underflowInt)); | |
136 } | |
137 | |
138 TEST(MathExtrasTest, clampToFloatDouble) { | |
139 double maxFloat = std::numeric_limits<float>::max(); | |
140 double minFloat = -maxFloat; | |
141 double overflowFloat = maxFloat * 1.1; | |
142 double underflowFloat = minFloat * 1.1; | |
143 | |
144 EXPECT_GT(overflowFloat, maxFloat); | |
145 EXPECT_LT(underflowFloat, minFloat); | |
146 | |
147 EXPECT_EQ(maxFloat, clampTo<float>(maxFloat)); | |
148 EXPECT_EQ(minFloat, clampTo<float>(minFloat)); | |
149 | |
150 EXPECT_EQ(maxFloat, clampTo<float>(overflowFloat)); | |
151 EXPECT_EQ(minFloat, clampTo<float>(underflowFloat)); | |
152 | |
153 EXPECT_EQ(maxFloat, clampTo<float>(std::numeric_limits<float>::infinity())); | |
154 EXPECT_EQ(minFloat, clampTo<float>(-std::numeric_limits<float>::infinity())); | |
155 } | |
156 | |
157 TEST(MathExtrasTest, clampToDouble) { | |
158 EXPECT_EQ(0.0, clampTo<double>(0)); | |
159 EXPECT_EQ(0.0, clampTo<double>(0.0f)); | |
160 EXPECT_EQ(0.0, clampTo<double>(0ULL)); | |
161 EXPECT_EQ(3.5, clampTo<double>(std::numeric_limits<unsigned long long>::max(), | |
162 0.0, 3.5)); | |
163 } | |
164 | |
165 TEST(MathExtrasText, clampToLongLongDouble) { | |
166 double overflowLL = | |
167 static_cast<double>(std::numeric_limits<long long>::max()) * 2; | |
168 EXPECT_EQ(std::numeric_limits<long long>::max(), | |
169 clampTo<long long>(overflowLL)); | |
170 EXPECT_EQ(std::numeric_limits<long long>::min(), | |
171 clampTo<long long>(-overflowLL)); | |
172 } | |
173 | |
174 TEST(MathExtrasText, clampToUnsignedLongLongDouble) { | |
175 double overflowULL = | |
176 static_cast<double>(std::numeric_limits<unsigned long long>::max()) * 2; | |
177 EXPECT_EQ(std::numeric_limits<unsigned long long>::max(), | |
178 clampTo<unsigned long long>(overflowULL)); | |
179 EXPECT_EQ(std::numeric_limits<unsigned long long>::min(), | |
180 clampTo<unsigned long long>(-overflowULL)); | |
181 } | |
182 | |
183 TEST(MathExtrasTest, clampToUnsignedUnsignedLong) { | |
184 if (sizeof(unsigned long) == sizeof(unsigned)) | |
185 return; | |
186 | |
187 unsigned long maxUnsigned = std::numeric_limits<unsigned>::max(); | |
188 unsigned long overflowUnsigned = maxUnsigned + 1; | |
189 | |
190 EXPECT_GT(overflowUnsigned, maxUnsigned); | |
191 | |
192 EXPECT_EQ(maxUnsigned, clampTo<unsigned>(maxUnsigned)); | |
193 | |
194 EXPECT_EQ(maxUnsigned, clampTo<unsigned>(overflowUnsigned)); | |
195 EXPECT_EQ(0u, clampTo<unsigned>(-1)); | |
196 } | |
197 | |
198 TEST(MathExtrasTest, clampToUnsignedUnsignedLongLong) { | |
199 unsigned long long maxUnsigned = std::numeric_limits<unsigned>::max(); | |
200 unsigned long long overflowUnsigned = maxUnsigned + 1; | |
201 | |
202 EXPECT_GT(overflowUnsigned, maxUnsigned); | |
203 | |
204 EXPECT_EQ(maxUnsigned, clampTo<unsigned>(maxUnsigned)); | |
205 | |
206 EXPECT_EQ(maxUnsigned, clampTo<unsigned>(overflowUnsigned)); | |
207 EXPECT_EQ(0u, clampTo<unsigned>(-1)); | |
208 } | |
209 | |
210 TEST(MathExtrasTest, clampToLongLongUnsignedLongLong) { | |
211 long long maxLongLongLL = std::numeric_limits<long long>::max(); | |
212 unsigned long long maxLongLongULL = maxLongLongLL; | |
213 unsigned long long overflowLongLong = maxLongLongULL + 1; | |
214 | |
215 EXPECT_GT(overflowLongLong, maxLongLongULL); | |
216 | |
217 EXPECT_EQ(maxLongLongLL, clampTo<long long>(maxLongLongULL)); | |
218 EXPECT_EQ(maxLongLongLL - 1, clampTo<long long>(maxLongLongULL - 1)); | |
219 EXPECT_EQ(maxLongLongLL, clampTo<long long>(overflowLongLong)); | |
220 | |
221 EXPECT_EQ(-3LL, clampTo<long long>(2ULL, -5LL, -3LL)); | |
222 } | |
223 | |
224 TEST(MathExtrasTest, clampToUnsignedLongLongInt) { | |
225 EXPECT_EQ(0ULL, clampTo<unsigned long long>(-1)); | |
226 EXPECT_EQ(0ULL, clampTo<unsigned long long>(0)); | |
227 EXPECT_EQ(1ULL, clampTo<unsigned long long>(1)); | |
228 } | |
229 | |
230 TEST(MathExtrasTest, clampToUnsignedLongLongUnsignedLongLong) { | |
231 EXPECT_EQ(0ULL, clampTo<unsigned long long>(0ULL)); | |
232 EXPECT_EQ(1ULL, clampTo<unsigned long long>(0ULL, 1ULL, 2ULL)); | |
233 EXPECT_EQ(2ULL, clampTo<unsigned long long>(3ULL, 1ULL, 2ULL)); | |
234 EXPECT_EQ(0xFFFFFFFFFFFFFFF5ULL, | |
235 clampTo<unsigned long long>(0xFFFFFFFFFFFFFFF5ULL)); | |
236 } | |
237 | |
238 // Make sure that various +-inf cases are handled properly (they aren't | |
239 // by default on VS). | |
240 TEST(MathExtrasTest, infinityMath) { | |
241 double posInf = std::numeric_limits<double>::infinity(); | |
242 double negInf = -std::numeric_limits<double>::infinity(); | |
243 double nan = std::numeric_limits<double>::quiet_NaN(); | |
244 | |
245 EXPECT_EQ(M_PI_4, atan2(posInf, posInf)); | |
246 EXPECT_EQ(3.0 * M_PI_4, atan2(posInf, negInf)); | |
247 EXPECT_EQ(-M_PI_4, atan2(negInf, posInf)); | |
248 EXPECT_EQ(-3.0 * M_PI_4, atan2(negInf, negInf)); | |
249 | |
250 EXPECT_EQ(0.0, fmod(0.0, posInf)); | |
251 EXPECT_EQ(7.0, fmod(7.0, posInf)); | |
252 EXPECT_EQ(-7.0, fmod(-7.0, posInf)); | |
253 EXPECT_EQ(0.0, fmod(0.0, negInf)); | |
254 EXPECT_EQ(7.0, fmod(7.0, negInf)); | |
255 EXPECT_EQ(-7.0, fmod(-7.0, negInf)); | |
256 | |
257 EXPECT_EQ(1.0, pow(5.0, 0.0)); | |
258 EXPECT_EQ(1.0, pow(-5.0, 0.0)); | |
259 EXPECT_EQ(1.0, pow(nan, 0.0)); | |
260 } | |
261 | |
262 } // namespace WTF | |
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