1 //===- llvm/unittest/Support/ScaledNumberTest.cpp - ScaledPair tests -----==// 2 // 3 // The LLVM Compiler Infrastructure 4 // 5 // This file is distributed under the University of Illinois Open Source 6 // License. See LICENSE.TXT for details. 7 // 8 //===----------------------------------------------------------------------===// 9 10 #include "llvm/Support/ScaledNumber.h" 11 12 #include "llvm/Support/DataTypes.h" 13 #include "gtest/gtest.h" 14 15 using namespace llvm; 16 using namespace llvm::ScaledNumbers; 17 18 namespace { 19 20 template <class UIntT> struct ScaledPair { 21 UIntT D; 22 int S; 23 ScaledPair(const std::pair<UIntT, int16_t> &F) : D(F.first), S(F.second) {} 24 ScaledPair(UIntT D, int S) : D(D), S(S) {} 25 26 bool operator==(const ScaledPair<UIntT> &X) const { 27 return D == X.D && S == X.S; 28 } 29 }; 30 template <class UIntT> 31 bool operator==(const std::pair<UIntT, int16_t> &L, 32 const ScaledPair<UIntT> &R) { 33 return ScaledPair<UIntT>(L) == R; 34 } 35 template <class UIntT> 36 void PrintTo(const ScaledPair<UIntT> &F, ::std::ostream *os) { 37 *os << F.D << "*2^" << F.S; 38 } 39 40 typedef ScaledPair<uint32_t> SP32; 41 typedef ScaledPair<uint64_t> SP64; 42 43 TEST(ScaledNumberHelpersTest, getRounded) { 44 EXPECT_EQ(getRounded32(0, 0, false), SP32(0, 0)); 45 EXPECT_EQ(getRounded32(0, 0, true), SP32(1, 0)); 46 EXPECT_EQ(getRounded32(20, 21, true), SP32(21, 21)); 47 EXPECT_EQ(getRounded32(UINT32_MAX, 0, false), SP32(UINT32_MAX, 0)); 48 EXPECT_EQ(getRounded32(UINT32_MAX, 0, true), SP32(1 << 31, 1)); 49 50 EXPECT_EQ(getRounded64(0, 0, false), SP64(0, 0)); 51 EXPECT_EQ(getRounded64(0, 0, true), SP64(1, 0)); 52 EXPECT_EQ(getRounded64(20, 21, true), SP64(21, 21)); 53 EXPECT_EQ(getRounded64(UINT32_MAX, 0, false), SP64(UINT32_MAX, 0)); 54 EXPECT_EQ(getRounded64(UINT32_MAX, 0, true), SP64(UINT64_C(1) << 32, 0)); 55 EXPECT_EQ(getRounded64(UINT64_MAX, 0, false), SP64(UINT64_MAX, 0)); 56 EXPECT_EQ(getRounded64(UINT64_MAX, 0, true), SP64(UINT64_C(1) << 63, 1)); 57 } 58 59 TEST(ScaledNumberHelpersTest, getAdjusted) { 60 const uint64_t Max32In64 = UINT32_MAX; 61 EXPECT_EQ(getAdjusted32(0), SP32(0, 0)); 62 EXPECT_EQ(getAdjusted32(0, 5), SP32(0, 5)); 63 EXPECT_EQ(getAdjusted32(UINT32_MAX), SP32(UINT32_MAX, 0)); 64 EXPECT_EQ(getAdjusted32(Max32In64 << 1), SP32(UINT32_MAX, 1)); 65 EXPECT_EQ(getAdjusted32(Max32In64 << 1, 1), SP32(UINT32_MAX, 2)); 66 EXPECT_EQ(getAdjusted32(Max32In64 << 31), SP32(UINT32_MAX, 31)); 67 EXPECT_EQ(getAdjusted32(Max32In64 << 32), SP32(UINT32_MAX, 32)); 68 EXPECT_EQ(getAdjusted32(Max32In64 + 1), SP32(1u << 31, 1)); 69 EXPECT_EQ(getAdjusted32(UINT64_MAX), SP32(1u << 31, 33)); 70 71 EXPECT_EQ(getAdjusted64(0), SP64(0, 0)); 72 EXPECT_EQ(getAdjusted64(0, 5), SP64(0, 5)); 73 EXPECT_EQ(getAdjusted64(UINT32_MAX), SP64(UINT32_MAX, 0)); 74 EXPECT_EQ(getAdjusted64(Max32In64 << 1), SP64(Max32In64 << 1, 0)); 75 EXPECT_EQ(getAdjusted64(Max32In64 << 1, 1), SP64(Max32In64 << 1, 1)); 76 EXPECT_EQ(getAdjusted64(Max32In64 << 31), SP64(Max32In64 << 31, 0)); 77 EXPECT_EQ(getAdjusted64(Max32In64 << 32), SP64(Max32In64 << 32, 0)); 78 EXPECT_EQ(getAdjusted64(Max32In64 + 1), SP64(Max32In64 + 1, 0)); 79 EXPECT_EQ(getAdjusted64(UINT64_MAX), SP64(UINT64_MAX, 0)); 80 } 81 82 TEST(ScaledNumberHelpersTest, getProduct) { 83 // Zero. 84 EXPECT_EQ(SP32(0, 0), getProduct32(0, 0)); 85 EXPECT_EQ(SP32(0, 0), getProduct32(0, 1)); 86 EXPECT_EQ(SP32(0, 0), getProduct32(0, 33)); 87 88 // Basic. 89 EXPECT_EQ(SP32(6, 0), getProduct32(2, 3)); 90 EXPECT_EQ(SP32(UINT16_MAX / 3 * UINT16_MAX / 5 * 2, 0), 91 getProduct32(UINT16_MAX / 3, UINT16_MAX / 5 * 2)); 92 93 // Overflow, no loss of precision. 94 // ==> 0xf00010 * 0x1001 95 // ==> 0xf00f00000 + 0x10010 96 // ==> 0xf00f10010 97 // ==> 0xf00f1001 * 2^4 98 EXPECT_EQ(SP32(0xf00f1001, 4), getProduct32(0xf00010, 0x1001)); 99 100 // Overflow, loss of precision, rounds down. 101 // ==> 0xf000070 * 0x1001 102 // ==> 0xf00f000000 + 0x70070 103 // ==> 0xf00f070070 104 // ==> 0xf00f0700 * 2^8 105 EXPECT_EQ(SP32(0xf00f0700, 8), getProduct32(0xf000070, 0x1001)); 106 107 // Overflow, loss of precision, rounds up. 108 // ==> 0xf000080 * 0x1001 109 // ==> 0xf00f000000 + 0x80080 110 // ==> 0xf00f080080 111 // ==> 0xf00f0801 * 2^8 112 EXPECT_EQ(SP32(0xf00f0801, 8), getProduct32(0xf000080, 0x1001)); 113 114 // Reverse operand order. 115 EXPECT_EQ(SP32(0, 0), getProduct32(1, 0)); 116 EXPECT_EQ(SP32(0, 0), getProduct32(33, 0)); 117 EXPECT_EQ(SP32(6, 0), getProduct32(3, 2)); 118 EXPECT_EQ(SP32(UINT16_MAX / 3 * UINT16_MAX / 5 * 2, 0), 119 getProduct32(UINT16_MAX / 5 * 2, UINT16_MAX / 3)); 120 EXPECT_EQ(SP32(0xf00f1001, 4), getProduct32(0x1001, 0xf00010)); 121 EXPECT_EQ(SP32(0xf00f0700, 8), getProduct32(0x1001, 0xf000070)); 122 EXPECT_EQ(SP32(0xf00f0801, 8), getProduct32(0x1001, 0xf000080)); 123 124 // Round to overflow. 125 EXPECT_EQ(SP64(UINT64_C(1) << 63, 64), 126 getProduct64(UINT64_C(10376293541461622786), 127 UINT64_C(16397105843297379211))); 128 129 // Big number with rounding. 130 EXPECT_EQ(SP64(UINT64_C(9223372036854775810), 64), 131 getProduct64(UINT64_C(18446744073709551556), 132 UINT64_C(9223372036854775840))); 133 } 134 135 TEST(ScaledNumberHelpersTest, getQuotient) { 136 // Zero. 137 EXPECT_EQ(SP32(0, 0), getQuotient32(0, 0)); 138 EXPECT_EQ(SP32(0, 0), getQuotient32(0, 1)); 139 EXPECT_EQ(SP32(0, 0), getQuotient32(0, 73)); 140 EXPECT_EQ(SP32(UINT32_MAX, MaxScale), getQuotient32(1, 0)); 141 EXPECT_EQ(SP32(UINT32_MAX, MaxScale), getQuotient32(6, 0)); 142 143 // Powers of two. 144 EXPECT_EQ(SP32(1u << 31, -31), getQuotient32(1, 1)); 145 EXPECT_EQ(SP32(1u << 31, -30), getQuotient32(2, 1)); 146 EXPECT_EQ(SP32(1u << 31, -33), getQuotient32(4, 16)); 147 EXPECT_EQ(SP32(7u << 29, -29), getQuotient32(7, 1)); 148 EXPECT_EQ(SP32(7u << 29, -30), getQuotient32(7, 2)); 149 EXPECT_EQ(SP32(7u << 29, -33), getQuotient32(7, 16)); 150 151 // Divide evenly. 152 EXPECT_EQ(SP32(3u << 30, -30), getQuotient32(9, 3)); 153 EXPECT_EQ(SP32(9u << 28, -28), getQuotient32(63, 7)); 154 155 // Divide unevenly. 156 EXPECT_EQ(SP32(0xaaaaaaab, -33), getQuotient32(1, 3)); 157 EXPECT_EQ(SP32(0xd5555555, -31), getQuotient32(5, 3)); 158 159 // 64-bit division is hard to test, since divide64 doesn't canonicalized its 160 // output. However, this is the algorithm the implementation uses: 161 // 162 // - Shift divisor right. 163 // - If we have 1 (power of 2), return early -- not canonicalized. 164 // - Shift dividend left. 165 // - 64-bit integer divide. 166 // - If there's a remainder, continue with long division. 167 // 168 // TODO: require less knowledge about the implementation in the test. 169 170 // Zero. 171 EXPECT_EQ(SP64(0, 0), getQuotient64(0, 0)); 172 EXPECT_EQ(SP64(0, 0), getQuotient64(0, 1)); 173 EXPECT_EQ(SP64(0, 0), getQuotient64(0, 73)); 174 EXPECT_EQ(SP64(UINT64_MAX, MaxScale), getQuotient64(1, 0)); 175 EXPECT_EQ(SP64(UINT64_MAX, MaxScale), getQuotient64(6, 0)); 176 177 // Powers of two. 178 EXPECT_EQ(SP64(1, 0), getQuotient64(1, 1)); 179 EXPECT_EQ(SP64(2, 0), getQuotient64(2, 1)); 180 EXPECT_EQ(SP64(4, -4), getQuotient64(4, 16)); 181 EXPECT_EQ(SP64(7, 0), getQuotient64(7, 1)); 182 EXPECT_EQ(SP64(7, -1), getQuotient64(7, 2)); 183 EXPECT_EQ(SP64(7, -4), getQuotient64(7, 16)); 184 185 // Divide evenly. 186 EXPECT_EQ(SP64(UINT64_C(3) << 60, -60), getQuotient64(9, 3)); 187 EXPECT_EQ(SP64(UINT64_C(9) << 58, -58), getQuotient64(63, 7)); 188 189 // Divide unevenly. 190 EXPECT_EQ(SP64(0xaaaaaaaaaaaaaaab, -65), getQuotient64(1, 3)); 191 EXPECT_EQ(SP64(0xd555555555555555, -63), getQuotient64(5, 3)); 192 } 193 194 TEST(ScaledNumberHelpersTest, getLg) { 195 EXPECT_EQ(0, getLg(UINT32_C(1), 0)); 196 EXPECT_EQ(1, getLg(UINT32_C(1), 1)); 197 EXPECT_EQ(1, getLg(UINT32_C(2), 0)); 198 EXPECT_EQ(3, getLg(UINT32_C(1), 3)); 199 EXPECT_EQ(3, getLg(UINT32_C(7), 0)); 200 EXPECT_EQ(3, getLg(UINT32_C(8), 0)); 201 EXPECT_EQ(3, getLg(UINT32_C(9), 0)); 202 EXPECT_EQ(3, getLg(UINT32_C(64), -3)); 203 EXPECT_EQ(31, getLg((UINT32_MAX >> 1) + 2, 0)); 204 EXPECT_EQ(32, getLg(UINT32_MAX, 0)); 205 EXPECT_EQ(-1, getLg(UINT32_C(1), -1)); 206 EXPECT_EQ(-1, getLg(UINT32_C(2), -2)); 207 EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), -1)); 208 EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), 0)); 209 EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), 1)); 210 211 EXPECT_EQ(0, getLg(UINT64_C(1), 0)); 212 EXPECT_EQ(1, getLg(UINT64_C(1), 1)); 213 EXPECT_EQ(1, getLg(UINT64_C(2), 0)); 214 EXPECT_EQ(3, getLg(UINT64_C(1), 3)); 215 EXPECT_EQ(3, getLg(UINT64_C(7), 0)); 216 EXPECT_EQ(3, getLg(UINT64_C(8), 0)); 217 EXPECT_EQ(3, getLg(UINT64_C(9), 0)); 218 EXPECT_EQ(3, getLg(UINT64_C(64), -3)); 219 EXPECT_EQ(63, getLg((UINT64_MAX >> 1) + 2, 0)); 220 EXPECT_EQ(64, getLg(UINT64_MAX, 0)); 221 EXPECT_EQ(-1, getLg(UINT64_C(1), -1)); 222 EXPECT_EQ(-1, getLg(UINT64_C(2), -2)); 223 EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), -1)); 224 EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), 0)); 225 EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), 1)); 226 } 227 228 TEST(ScaledNumberHelpersTest, getLgFloor) { 229 EXPECT_EQ(0, getLgFloor(UINT32_C(1), 0)); 230 EXPECT_EQ(1, getLgFloor(UINT32_C(1), 1)); 231 EXPECT_EQ(1, getLgFloor(UINT32_C(2), 0)); 232 EXPECT_EQ(2, getLgFloor(UINT32_C(7), 0)); 233 EXPECT_EQ(3, getLgFloor(UINT32_C(1), 3)); 234 EXPECT_EQ(3, getLgFloor(UINT32_C(8), 0)); 235 EXPECT_EQ(3, getLgFloor(UINT32_C(9), 0)); 236 EXPECT_EQ(3, getLgFloor(UINT32_C(64), -3)); 237 EXPECT_EQ(31, getLgFloor((UINT32_MAX >> 1) + 2, 0)); 238 EXPECT_EQ(31, getLgFloor(UINT32_MAX, 0)); 239 EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), -1)); 240 EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), 0)); 241 EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), 1)); 242 243 EXPECT_EQ(0, getLgFloor(UINT64_C(1), 0)); 244 EXPECT_EQ(1, getLgFloor(UINT64_C(1), 1)); 245 EXPECT_EQ(1, getLgFloor(UINT64_C(2), 0)); 246 EXPECT_EQ(2, getLgFloor(UINT64_C(7), 0)); 247 EXPECT_EQ(3, getLgFloor(UINT64_C(1), 3)); 248 EXPECT_EQ(3, getLgFloor(UINT64_C(8), 0)); 249 EXPECT_EQ(3, getLgFloor(UINT64_C(9), 0)); 250 EXPECT_EQ(3, getLgFloor(UINT64_C(64), -3)); 251 EXPECT_EQ(63, getLgFloor((UINT64_MAX >> 1) + 2, 0)); 252 EXPECT_EQ(63, getLgFloor(UINT64_MAX, 0)); 253 EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), -1)); 254 EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), 0)); 255 EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), 1)); 256 } 257 258 TEST(ScaledNumberHelpersTest, getLgCeiling) { 259 EXPECT_EQ(0, getLgCeiling(UINT32_C(1), 0)); 260 EXPECT_EQ(1, getLgCeiling(UINT32_C(1), 1)); 261 EXPECT_EQ(1, getLgCeiling(UINT32_C(2), 0)); 262 EXPECT_EQ(3, getLgCeiling(UINT32_C(1), 3)); 263 EXPECT_EQ(3, getLgCeiling(UINT32_C(7), 0)); 264 EXPECT_EQ(3, getLgCeiling(UINT32_C(8), 0)); 265 EXPECT_EQ(3, getLgCeiling(UINT32_C(64), -3)); 266 EXPECT_EQ(4, getLgCeiling(UINT32_C(9), 0)); 267 EXPECT_EQ(32, getLgCeiling(UINT32_MAX, 0)); 268 EXPECT_EQ(32, getLgCeiling((UINT32_MAX >> 1) + 2, 0)); 269 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), -1)); 270 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), 0)); 271 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), 1)); 272 273 EXPECT_EQ(0, getLgCeiling(UINT64_C(1), 0)); 274 EXPECT_EQ(1, getLgCeiling(UINT64_C(1), 1)); 275 EXPECT_EQ(1, getLgCeiling(UINT64_C(2), 0)); 276 EXPECT_EQ(3, getLgCeiling(UINT64_C(1), 3)); 277 EXPECT_EQ(3, getLgCeiling(UINT64_C(7), 0)); 278 EXPECT_EQ(3, getLgCeiling(UINT64_C(8), 0)); 279 EXPECT_EQ(3, getLgCeiling(UINT64_C(64), -3)); 280 EXPECT_EQ(4, getLgCeiling(UINT64_C(9), 0)); 281 EXPECT_EQ(64, getLgCeiling((UINT64_MAX >> 1) + 2, 0)); 282 EXPECT_EQ(64, getLgCeiling(UINT64_MAX, 0)); 283 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), -1)); 284 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), 0)); 285 EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), 1)); 286 } 287 288 TEST(ScaledNumberHelpersTest, compare) { 289 EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), 1)); 290 EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), -10)); 291 EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), 20)); 292 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(64), -3)); 293 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(32), -2)); 294 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(16), -1)); 295 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(8), 0)); 296 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(4), 1)); 297 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(2), 2)); 298 EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(1), 3)); 299 EXPECT_EQ(-1, compare(UINT32_C(0), 0, UINT32_C(1), 3)); 300 EXPECT_EQ(-1, compare(UINT32_C(7), 0, UINT32_C(1), 3)); 301 EXPECT_EQ(-1, compare(UINT32_C(7), 0, UINT32_C(64), -3)); 302 EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(1), 3)); 303 EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(64), -3)); 304 EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(0), 0)); 305 306 EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), 1)); 307 EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), -10)); 308 EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), 20)); 309 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(64), -3)); 310 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(32), -2)); 311 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(16), -1)); 312 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(8), 0)); 313 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(4), 1)); 314 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(2), 2)); 315 EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(1), 3)); 316 EXPECT_EQ(-1, compare(UINT64_C(0), 0, UINT64_C(1), 3)); 317 EXPECT_EQ(-1, compare(UINT64_C(7), 0, UINT64_C(1), 3)); 318 EXPECT_EQ(-1, compare(UINT64_C(7), 0, UINT64_C(64), -3)); 319 EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(1), 3)); 320 EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(64), -3)); 321 EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(0), 0)); 322 EXPECT_EQ(-1, compare(UINT64_MAX, 0, UINT64_C(1), 64)); 323 } 324 325 TEST(ScaledNumberHelpersTest, matchScales) { 326 #define MATCH_SCALES(T, LDIn, LSIn, RDIn, RSIn, LDOut, RDOut, SOut) \ 327 do { \ 328 T LDx = LDIn; \ 329 T RDx = RDIn; \ 330 T LDy = LDOut; \ 331 T RDy = RDOut; \ 332 int16_t LSx = LSIn; \ 333 int16_t RSx = RSIn; \ 334 int16_t Sy = SOut; \ 335 \ 336 EXPECT_EQ(SOut, matchScales(LDx, LSx, RDx, RSx)); \ 337 EXPECT_EQ(LDy, LDx); \ 338 EXPECT_EQ(RDy, RDx); \ 339 if (LDy) \ 340 EXPECT_EQ(Sy, LSx); \ 341 if (RDy) \ 342 EXPECT_EQ(Sy, RSx); \ 343 } while (false) 344 345 MATCH_SCALES(uint32_t, 0, 0, 0, 0, 0, 0, 0); 346 MATCH_SCALES(uint32_t, 0, 50, 7, 1, 0, 7, 1); 347 MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 1, 9, 0, UINT32_C(1) << 31, 4, 1); 348 MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 2, 9, 0, UINT32_C(1) << 31, 2, 2); 349 MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 3, 9, 0, UINT32_C(1) << 31, 1, 3); 350 MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 4, 9, 0, UINT32_C(1) << 31, 0, 4); 351 MATCH_SCALES(uint32_t, UINT32_C(1) << 30, 4, 9, 0, UINT32_C(1) << 31, 1, 3); 352 MATCH_SCALES(uint32_t, UINT32_C(1) << 29, 4, 9, 0, UINT32_C(1) << 31, 2, 2); 353 MATCH_SCALES(uint32_t, UINT32_C(1) << 28, 4, 9, 0, UINT32_C(1) << 31, 4, 1); 354 MATCH_SCALES(uint32_t, UINT32_C(1) << 27, 4, 9, 0, UINT32_C(1) << 31, 9, 0); 355 MATCH_SCALES(uint32_t, 7, 1, 0, 50, 7, 0, 1); 356 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 1, 4, UINT32_C(1) << 31, 1); 357 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 2, 2, UINT32_C(1) << 31, 2); 358 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 3, 1, UINT32_C(1) << 31, 3); 359 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 4, 0, UINT32_C(1) << 31, 4); 360 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 30, 4, 1, UINT32_C(1) << 31, 3); 361 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 29, 4, 2, UINT32_C(1) << 31, 2); 362 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 28, 4, 4, UINT32_C(1) << 31, 1); 363 MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 27, 4, 9, UINT32_C(1) << 31, 0); 364 365 MATCH_SCALES(uint64_t, 0, 0, 0, 0, 0, 0, 0); 366 MATCH_SCALES(uint64_t, 0, 100, 7, 1, 0, 7, 1); 367 MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 1, 9, 0, UINT64_C(1) << 63, 4, 1); 368 MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 2, 9, 0, UINT64_C(1) << 63, 2, 2); 369 MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 3, 9, 0, UINT64_C(1) << 63, 1, 3); 370 MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 4, 9, 0, UINT64_C(1) << 63, 0, 4); 371 MATCH_SCALES(uint64_t, UINT64_C(1) << 62, 4, 9, 0, UINT64_C(1) << 63, 1, 3); 372 MATCH_SCALES(uint64_t, UINT64_C(1) << 61, 4, 9, 0, UINT64_C(1) << 63, 2, 2); 373 MATCH_SCALES(uint64_t, UINT64_C(1) << 60, 4, 9, 0, UINT64_C(1) << 63, 4, 1); 374 MATCH_SCALES(uint64_t, UINT64_C(1) << 59, 4, 9, 0, UINT64_C(1) << 63, 9, 0); 375 MATCH_SCALES(uint64_t, 7, 1, 0, 100, 7, 0, 1); 376 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 1, 4, UINT64_C(1) << 63, 1); 377 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 2, 2, UINT64_C(1) << 63, 2); 378 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 3, 1, UINT64_C(1) << 63, 3); 379 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 4, 0, UINT64_C(1) << 63, 4); 380 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 62, 4, 1, UINT64_C(1) << 63, 3); 381 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 61, 4, 2, UINT64_C(1) << 63, 2); 382 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 60, 4, 4, UINT64_C(1) << 63, 1); 383 MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 59, 4, 9, UINT64_C(1) << 63, 0); 384 } 385 386 TEST(ScaledNumberHelpersTest, getSum) { 387 // Zero. 388 EXPECT_EQ(SP32(1, 0), getSum32(0, 0, 1, 0)); 389 EXPECT_EQ(SP32(8, -3), getSum32(0, 0, 8, -3)); 390 EXPECT_EQ(SP32(UINT32_MAX, 0), getSum32(0, 0, UINT32_MAX, 0)); 391 392 // Basic. 393 EXPECT_EQ(SP32(2, 0), getSum32(1, 0, 1, 0)); 394 EXPECT_EQ(SP32(3, 0), getSum32(1, 0, 2, 0)); 395 EXPECT_EQ(SP32(67, 0), getSum32(7, 0, 60, 0)); 396 397 // Different scales. 398 EXPECT_EQ(SP32(3, 0), getSum32(1, 0, 1, 1)); 399 EXPECT_EQ(SP32(4, 0), getSum32(2, 0, 1, 1)); 400 401 // Loss of precision. 402 EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 32, 1, 0)); 403 EXPECT_EQ(SP32(UINT32_C(1) << 31, -31), getSum32(1, -32, 1, 0)); 404 405 // Not quite loss of precision. 406 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), getSum32(1, 32, 1, 1)); 407 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -32), getSum32(1, -32, 1, -1)); 408 409 // Overflow. 410 EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 0, UINT32_MAX, 0)); 411 412 // Reverse operand order. 413 EXPECT_EQ(SP32(1, 0), getSum32(1, 0, 0, 0)); 414 EXPECT_EQ(SP32(8, -3), getSum32(8, -3, 0, 0)); 415 EXPECT_EQ(SP32(UINT32_MAX, 0), getSum32(UINT32_MAX, 0, 0, 0)); 416 EXPECT_EQ(SP32(3, 0), getSum32(2, 0, 1, 0)); 417 EXPECT_EQ(SP32(67, 0), getSum32(60, 0, 7, 0)); 418 EXPECT_EQ(SP32(3, 0), getSum32(1, 1, 1, 0)); 419 EXPECT_EQ(SP32(4, 0), getSum32(1, 1, 2, 0)); 420 EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 0, 1, 32)); 421 EXPECT_EQ(SP32(UINT32_C(1) << 31, -31), getSum32(1, 0, 1, -32)); 422 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), getSum32(1, 1, 1, 32)); 423 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -32), getSum32(1, -1, 1, -32)); 424 EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(UINT32_MAX, 0, 1, 0)); 425 426 // Zero. 427 EXPECT_EQ(SP64(1, 0), getSum64(0, 0, 1, 0)); 428 EXPECT_EQ(SP64(8, -3), getSum64(0, 0, 8, -3)); 429 EXPECT_EQ(SP64(UINT64_MAX, 0), getSum64(0, 0, UINT64_MAX, 0)); 430 431 // Basic. 432 EXPECT_EQ(SP64(2, 0), getSum64(1, 0, 1, 0)); 433 EXPECT_EQ(SP64(3, 0), getSum64(1, 0, 2, 0)); 434 EXPECT_EQ(SP64(67, 0), getSum64(7, 0, 60, 0)); 435 436 // Different scales. 437 EXPECT_EQ(SP64(3, 0), getSum64(1, 0, 1, 1)); 438 EXPECT_EQ(SP64(4, 0), getSum64(2, 0, 1, 1)); 439 440 // Loss of precision. 441 EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 64, 1, 0)); 442 EXPECT_EQ(SP64(UINT64_C(1) << 63, -63), getSum64(1, -64, 1, 0)); 443 444 // Not quite loss of precision. 445 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), getSum64(1, 64, 1, 1)); 446 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -64), getSum64(1, -64, 1, -1)); 447 448 // Overflow. 449 EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 0, UINT64_MAX, 0)); 450 451 // Reverse operand order. 452 EXPECT_EQ(SP64(1, 0), getSum64(1, 0, 0, 0)); 453 EXPECT_EQ(SP64(8, -3), getSum64(8, -3, 0, 0)); 454 EXPECT_EQ(SP64(UINT64_MAX, 0), getSum64(UINT64_MAX, 0, 0, 0)); 455 EXPECT_EQ(SP64(3, 0), getSum64(2, 0, 1, 0)); 456 EXPECT_EQ(SP64(67, 0), getSum64(60, 0, 7, 0)); 457 EXPECT_EQ(SP64(3, 0), getSum64(1, 1, 1, 0)); 458 EXPECT_EQ(SP64(4, 0), getSum64(1, 1, 2, 0)); 459 EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 0, 1, 64)); 460 EXPECT_EQ(SP64(UINT64_C(1) << 63, -63), getSum64(1, 0, 1, -64)); 461 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), getSum64(1, 1, 1, 64)); 462 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -64), getSum64(1, -1, 1, -64)); 463 EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(UINT64_MAX, 0, 1, 0)); 464 } 465 466 TEST(ScaledNumberHelpersTest, getDifference) { 467 // Basic. 468 EXPECT_EQ(SP32(0, 0), getDifference32(1, 0, 1, 0)); 469 EXPECT_EQ(SP32(1, 0), getDifference32(2, 0, 1, 0)); 470 EXPECT_EQ(SP32(53, 0), getDifference32(60, 0, 7, 0)); 471 472 // Equals "0", different scales. 473 EXPECT_EQ(SP32(0, 0), getDifference32(2, 0, 1, 1)); 474 475 // Subtract "0". 476 EXPECT_EQ(SP32(1, 0), getDifference32(1, 0, 0, 0)); 477 EXPECT_EQ(SP32(8, -3), getDifference32(8, -3, 0, 0)); 478 EXPECT_EQ(SP32(UINT32_MAX, 0), getDifference32(UINT32_MAX, 0, 0, 0)); 479 480 // Loss of precision. 481 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), 482 getDifference32((UINT32_C(1) << 31) + 1, 1, 1, 0)); 483 EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -31), 484 getDifference32((UINT32_C(1) << 31) + 1, -31, 1, -32)); 485 486 // Not quite loss of precision. 487 EXPECT_EQ(SP32(UINT32_MAX, 0), getDifference32(1, 32, 1, 0)); 488 EXPECT_EQ(SP32(UINT32_MAX, -32), getDifference32(1, 0, 1, -32)); 489 490 // Saturate to "0". 491 EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, 1, 0)); 492 EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, 8, -3)); 493 EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, UINT32_MAX, 0)); 494 EXPECT_EQ(SP32(0, 0), getDifference32(7, 0, 60, 0)); 495 EXPECT_EQ(SP32(0, 0), getDifference32(1, 0, 1, 1)); 496 EXPECT_EQ(SP32(0, 0), getDifference32(1, -32, 1, 0)); 497 EXPECT_EQ(SP32(0, 0), getDifference32(1, -32, 1, -1)); 498 499 // Regression tests for cases that failed during bringup. 500 EXPECT_EQ(SP32(UINT32_C(1) << 26, -31), 501 getDifference32(1, 0, UINT32_C(31) << 27, -32)); 502 503 // Basic. 504 EXPECT_EQ(SP64(0, 0), getDifference64(1, 0, 1, 0)); 505 EXPECT_EQ(SP64(1, 0), getDifference64(2, 0, 1, 0)); 506 EXPECT_EQ(SP64(53, 0), getDifference64(60, 0, 7, 0)); 507 508 // Equals "0", different scales. 509 EXPECT_EQ(SP64(0, 0), getDifference64(2, 0, 1, 1)); 510 511 // Subtract "0". 512 EXPECT_EQ(SP64(1, 0), getDifference64(1, 0, 0, 0)); 513 EXPECT_EQ(SP64(8, -3), getDifference64(8, -3, 0, 0)); 514 EXPECT_EQ(SP64(UINT64_MAX, 0), getDifference64(UINT64_MAX, 0, 0, 0)); 515 516 // Loss of precision. 517 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), 518 getDifference64((UINT64_C(1) << 63) + 1, 1, 1, 0)); 519 EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -63), 520 getDifference64((UINT64_C(1) << 63) + 1, -63, 1, -64)); 521 522 // Not quite loss of precision. 523 EXPECT_EQ(SP64(UINT64_MAX, 0), getDifference64(1, 64, 1, 0)); 524 EXPECT_EQ(SP64(UINT64_MAX, -64), getDifference64(1, 0, 1, -64)); 525 526 // Saturate to "0". 527 EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, 1, 0)); 528 EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, 8, -3)); 529 EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, UINT64_MAX, 0)); 530 EXPECT_EQ(SP64(0, 0), getDifference64(7, 0, 60, 0)); 531 EXPECT_EQ(SP64(0, 0), getDifference64(1, 0, 1, 1)); 532 EXPECT_EQ(SP64(0, 0), getDifference64(1, -64, 1, 0)); 533 EXPECT_EQ(SP64(0, 0), getDifference64(1, -64, 1, -1)); 534 } 535 536 } // end namespace 537
