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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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