| //===- llvm/unittest/Support/ScaledNumberTest.cpp - ScaledPair tests -----==// |
| // |
| // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
| // See https://llvm.org/LICENSE.txt for license information. |
| // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
| // |
| //===----------------------------------------------------------------------===// |
| |
| #include "llvm/Support/ScaledNumber.h" |
| #include "llvm/Support/DataTypes.h" |
| #include "gtest/gtest.h" |
| |
| using namespace llvm; |
| using namespace llvm::ScaledNumbers; |
| |
| namespace { |
| |
| template <class UIntT> struct ScaledPair { |
| UIntT D; |
| int S; |
| ScaledPair(const std::pair<UIntT, int16_t> &F) : D(F.first), S(F.second) {} |
| ScaledPair(UIntT D, int S) : D(D), S(S) {} |
| |
| bool operator==(const ScaledPair<UIntT> &X) const { |
| return D == X.D && S == X.S; |
| } |
| }; |
| template <class UIntT> |
| bool operator==(const std::pair<UIntT, int16_t> &L, |
| const ScaledPair<UIntT> &R) { |
| return ScaledPair<UIntT>(L) == R; |
| } |
| template <class UIntT> |
| void PrintTo(const ScaledPair<UIntT> &F, ::std::ostream *os) { |
| *os << F.D << "*2^" << F.S; |
| } |
| |
| typedef ScaledPair<uint32_t> SP32; |
| typedef ScaledPair<uint64_t> SP64; |
| |
| TEST(ScaledNumberHelpersTest, getRounded) { |
| EXPECT_EQ(getRounded32(0, 0, false), SP32(0, 0)); |
| EXPECT_EQ(getRounded32(0, 0, true), SP32(1, 0)); |
| EXPECT_EQ(getRounded32(20, 21, true), SP32(21, 21)); |
| EXPECT_EQ(getRounded32(UINT32_MAX, 0, false), SP32(UINT32_MAX, 0)); |
| EXPECT_EQ(getRounded32(UINT32_MAX, 0, true), SP32(1 << 31, 1)); |
| |
| EXPECT_EQ(getRounded64(0, 0, false), SP64(0, 0)); |
| EXPECT_EQ(getRounded64(0, 0, true), SP64(1, 0)); |
| EXPECT_EQ(getRounded64(20, 21, true), SP64(21, 21)); |
| EXPECT_EQ(getRounded64(UINT32_MAX, 0, false), SP64(UINT32_MAX, 0)); |
| EXPECT_EQ(getRounded64(UINT32_MAX, 0, true), SP64(UINT64_C(1) << 32, 0)); |
| EXPECT_EQ(getRounded64(UINT64_MAX, 0, false), SP64(UINT64_MAX, 0)); |
| EXPECT_EQ(getRounded64(UINT64_MAX, 0, true), SP64(UINT64_C(1) << 63, 1)); |
| } |
| |
| TEST(ScaledNumberHelpersTest, getAdjusted) { |
| const uint64_t Max32In64 = UINT32_MAX; |
| EXPECT_EQ(getAdjusted32(0), SP32(0, 0)); |
| EXPECT_EQ(getAdjusted32(0, 5), SP32(0, 5)); |
| EXPECT_EQ(getAdjusted32(UINT32_MAX), SP32(UINT32_MAX, 0)); |
| EXPECT_EQ(getAdjusted32(Max32In64 << 1), SP32(UINT32_MAX, 1)); |
| EXPECT_EQ(getAdjusted32(Max32In64 << 1, 1), SP32(UINT32_MAX, 2)); |
| EXPECT_EQ(getAdjusted32(Max32In64 << 31), SP32(UINT32_MAX, 31)); |
| EXPECT_EQ(getAdjusted32(Max32In64 << 32), SP32(UINT32_MAX, 32)); |
| EXPECT_EQ(getAdjusted32(Max32In64 + 1), SP32(1u << 31, 1)); |
| EXPECT_EQ(getAdjusted32(UINT64_MAX), SP32(1u << 31, 33)); |
| |
| EXPECT_EQ(getAdjusted64(0), SP64(0, 0)); |
| EXPECT_EQ(getAdjusted64(0, 5), SP64(0, 5)); |
| EXPECT_EQ(getAdjusted64(UINT32_MAX), SP64(UINT32_MAX, 0)); |
| EXPECT_EQ(getAdjusted64(Max32In64 << 1), SP64(Max32In64 << 1, 0)); |
| EXPECT_EQ(getAdjusted64(Max32In64 << 1, 1), SP64(Max32In64 << 1, 1)); |
| EXPECT_EQ(getAdjusted64(Max32In64 << 31), SP64(Max32In64 << 31, 0)); |
| EXPECT_EQ(getAdjusted64(Max32In64 << 32), SP64(Max32In64 << 32, 0)); |
| EXPECT_EQ(getAdjusted64(Max32In64 + 1), SP64(Max32In64 + 1, 0)); |
| EXPECT_EQ(getAdjusted64(UINT64_MAX), SP64(UINT64_MAX, 0)); |
| } |
| |
| TEST(ScaledNumberHelpersTest, getProduct) { |
| // Zero. |
| EXPECT_EQ(SP32(0, 0), getProduct32(0, 0)); |
| EXPECT_EQ(SP32(0, 0), getProduct32(0, 1)); |
| EXPECT_EQ(SP32(0, 0), getProduct32(0, 33)); |
| |
| // Basic. |
| EXPECT_EQ(SP32(6, 0), getProduct32(2, 3)); |
| EXPECT_EQ(SP32(UINT16_MAX / 3 * UINT16_MAX / 5 * 2, 0), |
| getProduct32(UINT16_MAX / 3, UINT16_MAX / 5 * 2)); |
| |
| // Overflow, no loss of precision. |
| // ==> 0xf00010 * 0x1001 |
| // ==> 0xf00f00000 + 0x10010 |
| // ==> 0xf00f10010 |
| // ==> 0xf00f1001 * 2^4 |
| EXPECT_EQ(SP32(0xf00f1001, 4), getProduct32(0xf00010, 0x1001)); |
| |
| // Overflow, loss of precision, rounds down. |
| // ==> 0xf000070 * 0x1001 |
| // ==> 0xf00f000000 + 0x70070 |
| // ==> 0xf00f070070 |
| // ==> 0xf00f0700 * 2^8 |
| EXPECT_EQ(SP32(0xf00f0700, 8), getProduct32(0xf000070, 0x1001)); |
| |
| // Overflow, loss of precision, rounds up. |
| // ==> 0xf000080 * 0x1001 |
| // ==> 0xf00f000000 + 0x80080 |
| // ==> 0xf00f080080 |
| // ==> 0xf00f0801 * 2^8 |
| EXPECT_EQ(SP32(0xf00f0801, 8), getProduct32(0xf000080, 0x1001)); |
| |
| // Reverse operand order. |
| EXPECT_EQ(SP32(0, 0), getProduct32(1, 0)); |
| EXPECT_EQ(SP32(0, 0), getProduct32(33, 0)); |
| EXPECT_EQ(SP32(6, 0), getProduct32(3, 2)); |
| EXPECT_EQ(SP32(UINT16_MAX / 3 * UINT16_MAX / 5 * 2, 0), |
| getProduct32(UINT16_MAX / 5 * 2, UINT16_MAX / 3)); |
| EXPECT_EQ(SP32(0xf00f1001, 4), getProduct32(0x1001, 0xf00010)); |
| EXPECT_EQ(SP32(0xf00f0700, 8), getProduct32(0x1001, 0xf000070)); |
| EXPECT_EQ(SP32(0xf00f0801, 8), getProduct32(0x1001, 0xf000080)); |
| |
| // Round to overflow. |
| EXPECT_EQ(SP64(UINT64_C(1) << 63, 64), |
| getProduct64(UINT64_C(10376293541461622786), |
| UINT64_C(16397105843297379211))); |
| |
| // Big number with rounding. |
| EXPECT_EQ(SP64(UINT64_C(9223372036854775810), 64), |
| getProduct64(UINT64_C(18446744073709551556), |
| UINT64_C(9223372036854775840))); |
| } |
| |
| TEST(ScaledNumberHelpersTest, getQuotient) { |
| // Zero. |
| EXPECT_EQ(SP32(0, 0), getQuotient32(0, 0)); |
| EXPECT_EQ(SP32(0, 0), getQuotient32(0, 1)); |
| EXPECT_EQ(SP32(0, 0), getQuotient32(0, 73)); |
| EXPECT_EQ(SP32(UINT32_MAX, MaxScale), getQuotient32(1, 0)); |
| EXPECT_EQ(SP32(UINT32_MAX, MaxScale), getQuotient32(6, 0)); |
| |
| // Powers of two. |
| EXPECT_EQ(SP32(1u << 31, -31), getQuotient32(1, 1)); |
| EXPECT_EQ(SP32(1u << 31, -30), getQuotient32(2, 1)); |
| EXPECT_EQ(SP32(1u << 31, -33), getQuotient32(4, 16)); |
| EXPECT_EQ(SP32(7u << 29, -29), getQuotient32(7, 1)); |
| EXPECT_EQ(SP32(7u << 29, -30), getQuotient32(7, 2)); |
| EXPECT_EQ(SP32(7u << 29, -33), getQuotient32(7, 16)); |
| |
| // Divide evenly. |
| EXPECT_EQ(SP32(3u << 30, -30), getQuotient32(9, 3)); |
| EXPECT_EQ(SP32(9u << 28, -28), getQuotient32(63, 7)); |
| |
| // Divide unevenly. |
| EXPECT_EQ(SP32(0xaaaaaaab, -33), getQuotient32(1, 3)); |
| EXPECT_EQ(SP32(0xd5555555, -31), getQuotient32(5, 3)); |
| |
| // 64-bit division is hard to test, since divide64 doesn't canonicalize its |
| // output. However, this is the algorithm the implementation uses: |
| // |
| // - Shift divisor right. |
| // - If we have 1 (power of 2), return early -- not canonicalized. |
| // - Shift dividend left. |
| // - 64-bit integer divide. |
| // - If there's a remainder, continue with long division. |
| // |
| // TODO: require less knowledge about the implementation in the test. |
| |
| // Zero. |
| EXPECT_EQ(SP64(0, 0), getQuotient64(0, 0)); |
| EXPECT_EQ(SP64(0, 0), getQuotient64(0, 1)); |
| EXPECT_EQ(SP64(0, 0), getQuotient64(0, 73)); |
| EXPECT_EQ(SP64(UINT64_MAX, MaxScale), getQuotient64(1, 0)); |
| EXPECT_EQ(SP64(UINT64_MAX, MaxScale), getQuotient64(6, 0)); |
| |
| // Powers of two. |
| EXPECT_EQ(SP64(1, 0), getQuotient64(1, 1)); |
| EXPECT_EQ(SP64(2, 0), getQuotient64(2, 1)); |
| EXPECT_EQ(SP64(4, -4), getQuotient64(4, 16)); |
| EXPECT_EQ(SP64(7, 0), getQuotient64(7, 1)); |
| EXPECT_EQ(SP64(7, -1), getQuotient64(7, 2)); |
| EXPECT_EQ(SP64(7, -4), getQuotient64(7, 16)); |
| |
| // Divide evenly. |
| EXPECT_EQ(SP64(UINT64_C(3) << 60, -60), getQuotient64(9, 3)); |
| EXPECT_EQ(SP64(UINT64_C(9) << 58, -58), getQuotient64(63, 7)); |
| |
| // Divide unevenly. |
| EXPECT_EQ(SP64(0xaaaaaaaaaaaaaaab, -65), getQuotient64(1, 3)); |
| EXPECT_EQ(SP64(0xd555555555555555, -63), getQuotient64(5, 3)); |
| } |
| |
| TEST(ScaledNumberHelpersTest, getLg) { |
| EXPECT_EQ(0, getLg(UINT32_C(1), 0)); |
| EXPECT_EQ(1, getLg(UINT32_C(1), 1)); |
| EXPECT_EQ(1, getLg(UINT32_C(2), 0)); |
| EXPECT_EQ(3, getLg(UINT32_C(1), 3)); |
| EXPECT_EQ(3, getLg(UINT32_C(7), 0)); |
| EXPECT_EQ(3, getLg(UINT32_C(8), 0)); |
| EXPECT_EQ(3, getLg(UINT32_C(9), 0)); |
| EXPECT_EQ(3, getLg(UINT32_C(64), -3)); |
| EXPECT_EQ(31, getLg((UINT32_MAX >> 1) + 2, 0)); |
| EXPECT_EQ(32, getLg(UINT32_MAX, 0)); |
| EXPECT_EQ(-1, getLg(UINT32_C(1), -1)); |
| EXPECT_EQ(-1, getLg(UINT32_C(2), -2)); |
| EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), -1)); |
| EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), 0)); |
| EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), 1)); |
| |
| EXPECT_EQ(0, getLg(UINT64_C(1), 0)); |
| EXPECT_EQ(1, getLg(UINT64_C(1), 1)); |
| EXPECT_EQ(1, getLg(UINT64_C(2), 0)); |
| EXPECT_EQ(3, getLg(UINT64_C(1), 3)); |
| EXPECT_EQ(3, getLg(UINT64_C(7), 0)); |
| EXPECT_EQ(3, getLg(UINT64_C(8), 0)); |
| EXPECT_EQ(3, getLg(UINT64_C(9), 0)); |
| EXPECT_EQ(3, getLg(UINT64_C(64), -3)); |
| EXPECT_EQ(63, getLg((UINT64_MAX >> 1) + 2, 0)); |
| EXPECT_EQ(64, getLg(UINT64_MAX, 0)); |
| EXPECT_EQ(-1, getLg(UINT64_C(1), -1)); |
| EXPECT_EQ(-1, getLg(UINT64_C(2), -2)); |
| EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), -1)); |
| EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), 0)); |
| EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), 1)); |
| } |
| |
| TEST(ScaledNumberHelpersTest, getLgFloor) { |
| EXPECT_EQ(0, getLgFloor(UINT32_C(1), 0)); |
| EXPECT_EQ(1, getLgFloor(UINT32_C(1), 1)); |
| EXPECT_EQ(1, getLgFloor(UINT32_C(2), 0)); |
| EXPECT_EQ(2, getLgFloor(UINT32_C(7), 0)); |
| EXPECT_EQ(3, getLgFloor(UINT32_C(1), 3)); |
| EXPECT_EQ(3, getLgFloor(UINT32_C(8), 0)); |
| EXPECT_EQ(3, getLgFloor(UINT32_C(9), 0)); |
| EXPECT_EQ(3, getLgFloor(UINT32_C(64), -3)); |
| EXPECT_EQ(31, getLgFloor((UINT32_MAX >> 1) + 2, 0)); |
| EXPECT_EQ(31, getLgFloor(UINT32_MAX, 0)); |
| EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), -1)); |
| EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), 0)); |
| EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), 1)); |
| |
| EXPECT_EQ(0, getLgFloor(UINT64_C(1), 0)); |
| EXPECT_EQ(1, getLgFloor(UINT64_C(1), 1)); |
| EXPECT_EQ(1, getLgFloor(UINT64_C(2), 0)); |
| EXPECT_EQ(2, getLgFloor(UINT64_C(7), 0)); |
| EXPECT_EQ(3, getLgFloor(UINT64_C(1), 3)); |
| EXPECT_EQ(3, getLgFloor(UINT64_C(8), 0)); |
| EXPECT_EQ(3, getLgFloor(UINT64_C(9), 0)); |
| EXPECT_EQ(3, getLgFloor(UINT64_C(64), -3)); |
| EXPECT_EQ(63, getLgFloor((UINT64_MAX >> 1) + 2, 0)); |
| EXPECT_EQ(63, getLgFloor(UINT64_MAX, 0)); |
| EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), -1)); |
| EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), 0)); |
| EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), 1)); |
| } |
| |
| TEST(ScaledNumberHelpersTest, getLgCeiling) { |
| EXPECT_EQ(0, getLgCeiling(UINT32_C(1), 0)); |
| EXPECT_EQ(1, getLgCeiling(UINT32_C(1), 1)); |
| EXPECT_EQ(1, getLgCeiling(UINT32_C(2), 0)); |
| EXPECT_EQ(3, getLgCeiling(UINT32_C(1), 3)); |
| EXPECT_EQ(3, getLgCeiling(UINT32_C(7), 0)); |
| EXPECT_EQ(3, getLgCeiling(UINT32_C(8), 0)); |
| EXPECT_EQ(3, getLgCeiling(UINT32_C(64), -3)); |
| EXPECT_EQ(4, getLgCeiling(UINT32_C(9), 0)); |
| EXPECT_EQ(32, getLgCeiling(UINT32_MAX, 0)); |
| EXPECT_EQ(32, getLgCeiling((UINT32_MAX >> 1) + 2, 0)); |
| EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), -1)); |
| EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), 0)); |
| EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), 1)); |
| |
| EXPECT_EQ(0, getLgCeiling(UINT64_C(1), 0)); |
| EXPECT_EQ(1, getLgCeiling(UINT64_C(1), 1)); |
| EXPECT_EQ(1, getLgCeiling(UINT64_C(2), 0)); |
| EXPECT_EQ(3, getLgCeiling(UINT64_C(1), 3)); |
| EXPECT_EQ(3, getLgCeiling(UINT64_C(7), 0)); |
| EXPECT_EQ(3, getLgCeiling(UINT64_C(8), 0)); |
| EXPECT_EQ(3, getLgCeiling(UINT64_C(64), -3)); |
| EXPECT_EQ(4, getLgCeiling(UINT64_C(9), 0)); |
| EXPECT_EQ(64, getLgCeiling((UINT64_MAX >> 1) + 2, 0)); |
| EXPECT_EQ(64, getLgCeiling(UINT64_MAX, 0)); |
| EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), -1)); |
| EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), 0)); |
| EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), 1)); |
| } |
| |
| TEST(ScaledNumberHelpersTest, compare) { |
| EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), 1)); |
| EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), -10)); |
| EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), 20)); |
| EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(64), -3)); |
| EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(32), -2)); |
| EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(16), -1)); |
| EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(8), 0)); |
| EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(4), 1)); |
| EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(2), 2)); |
| EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(1), 3)); |
| EXPECT_EQ(-1, compare(UINT32_C(0), 0, UINT32_C(1), 3)); |
| EXPECT_EQ(-1, compare(UINT32_C(7), 0, UINT32_C(1), 3)); |
| EXPECT_EQ(-1, compare(UINT32_C(7), 0, UINT32_C(64), -3)); |
| EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(1), 3)); |
| EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(64), -3)); |
| EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(0), 0)); |
| |
| EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), 1)); |
| EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), -10)); |
| EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), 20)); |
| EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(64), -3)); |
| EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(32), -2)); |
| EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(16), -1)); |
| EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(8), 0)); |
| EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(4), 1)); |
| EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(2), 2)); |
| EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(1), 3)); |
| EXPECT_EQ(-1, compare(UINT64_C(0), 0, UINT64_C(1), 3)); |
| EXPECT_EQ(-1, compare(UINT64_C(7), 0, UINT64_C(1), 3)); |
| EXPECT_EQ(-1, compare(UINT64_C(7), 0, UINT64_C(64), -3)); |
| EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(1), 3)); |
| EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(64), -3)); |
| EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(0), 0)); |
| EXPECT_EQ(-1, compare(UINT64_MAX, 0, UINT64_C(1), 64)); |
| } |
| |
| TEST(ScaledNumberHelpersTest, matchScales) { |
| #define MATCH_SCALES(T, LDIn, LSIn, RDIn, RSIn, LDOut, RDOut, SOut) \ |
| do { \ |
| T LDx = LDIn; \ |
| T RDx = RDIn; \ |
| T LDy = LDOut; \ |
| T RDy = RDOut; \ |
| int16_t LSx = LSIn; \ |
| int16_t RSx = RSIn; \ |
| int16_t Sy = SOut; \ |
| \ |
| EXPECT_EQ(SOut, matchScales(LDx, LSx, RDx, RSx)); \ |
| EXPECT_EQ(LDy, LDx); \ |
| EXPECT_EQ(RDy, RDx); \ |
| if (LDy) { \ |
| EXPECT_EQ(Sy, LSx); \ |
| } \ |
| if (RDy) { \ |
| EXPECT_EQ(Sy, RSx); \ |
| } \ |
| } while (false) |
| |
| MATCH_SCALES(uint32_t, 0, 0, 0, 0, 0, 0, 0); |
| MATCH_SCALES(uint32_t, 0, 50, 7, 1, 0, 7, 1); |
| MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 1, 9, 0, UINT32_C(1) << 31, 4, 1); |
| MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 2, 9, 0, UINT32_C(1) << 31, 2, 2); |
| MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 3, 9, 0, UINT32_C(1) << 31, 1, 3); |
| MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 4, 9, 0, UINT32_C(1) << 31, 0, 4); |
| MATCH_SCALES(uint32_t, UINT32_C(1) << 30, 4, 9, 0, UINT32_C(1) << 31, 1, 3); |
| MATCH_SCALES(uint32_t, UINT32_C(1) << 29, 4, 9, 0, UINT32_C(1) << 31, 2, 2); |
| MATCH_SCALES(uint32_t, UINT32_C(1) << 28, 4, 9, 0, UINT32_C(1) << 31, 4, 1); |
| MATCH_SCALES(uint32_t, UINT32_C(1) << 27, 4, 9, 0, UINT32_C(1) << 31, 9, 0); |
| MATCH_SCALES(uint32_t, 7, 1, 0, 50, 7, 0, 1); |
| MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 1, 4, UINT32_C(1) << 31, 1); |
| MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 2, 2, UINT32_C(1) << 31, 2); |
| MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 3, 1, UINT32_C(1) << 31, 3); |
| MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 4, 0, UINT32_C(1) << 31, 4); |
| MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 30, 4, 1, UINT32_C(1) << 31, 3); |
| MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 29, 4, 2, UINT32_C(1) << 31, 2); |
| MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 28, 4, 4, UINT32_C(1) << 31, 1); |
| MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 27, 4, 9, UINT32_C(1) << 31, 0); |
| |
| MATCH_SCALES(uint64_t, 0, 0, 0, 0, 0, 0, 0); |
| MATCH_SCALES(uint64_t, 0, 100, 7, 1, 0, 7, 1); |
| MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 1, 9, 0, UINT64_C(1) << 63, 4, 1); |
| MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 2, 9, 0, UINT64_C(1) << 63, 2, 2); |
| MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 3, 9, 0, UINT64_C(1) << 63, 1, 3); |
| MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 4, 9, 0, UINT64_C(1) << 63, 0, 4); |
| MATCH_SCALES(uint64_t, UINT64_C(1) << 62, 4, 9, 0, UINT64_C(1) << 63, 1, 3); |
| MATCH_SCALES(uint64_t, UINT64_C(1) << 61, 4, 9, 0, UINT64_C(1) << 63, 2, 2); |
| MATCH_SCALES(uint64_t, UINT64_C(1) << 60, 4, 9, 0, UINT64_C(1) << 63, 4, 1); |
| MATCH_SCALES(uint64_t, UINT64_C(1) << 59, 4, 9, 0, UINT64_C(1) << 63, 9, 0); |
| MATCH_SCALES(uint64_t, 7, 1, 0, 100, 7, 0, 1); |
| MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 1, 4, UINT64_C(1) << 63, 1); |
| MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 2, 2, UINT64_C(1) << 63, 2); |
| MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 3, 1, UINT64_C(1) << 63, 3); |
| MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 4, 0, UINT64_C(1) << 63, 4); |
| MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 62, 4, 1, UINT64_C(1) << 63, 3); |
| MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 61, 4, 2, UINT64_C(1) << 63, 2); |
| MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 60, 4, 4, UINT64_C(1) << 63, 1); |
| MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 59, 4, 9, UINT64_C(1) << 63, 0); |
| } |
| |
| TEST(ScaledNumberHelpersTest, getSum) { |
| // Zero. |
| EXPECT_EQ(SP32(1, 0), getSum32(0, 0, 1, 0)); |
| EXPECT_EQ(SP32(8, -3), getSum32(0, 0, 8, -3)); |
| EXPECT_EQ(SP32(UINT32_MAX, 0), getSum32(0, 0, UINT32_MAX, 0)); |
| |
| // Basic. |
| EXPECT_EQ(SP32(2, 0), getSum32(1, 0, 1, 0)); |
| EXPECT_EQ(SP32(3, 0), getSum32(1, 0, 2, 0)); |
| EXPECT_EQ(SP32(67, 0), getSum32(7, 0, 60, 0)); |
| |
| // Different scales. |
| EXPECT_EQ(SP32(3, 0), getSum32(1, 0, 1, 1)); |
| EXPECT_EQ(SP32(4, 0), getSum32(2, 0, 1, 1)); |
| |
| // Loss of precision. |
| EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 32, 1, 0)); |
| EXPECT_EQ(SP32(UINT32_C(1) << 31, -31), getSum32(1, -32, 1, 0)); |
| |
| // Not quite loss of precision. |
| EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), getSum32(1, 32, 1, 1)); |
| EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -32), getSum32(1, -32, 1, -1)); |
| |
| // Overflow. |
| EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 0, UINT32_MAX, 0)); |
| |
| // Reverse operand order. |
| EXPECT_EQ(SP32(1, 0), getSum32(1, 0, 0, 0)); |
| EXPECT_EQ(SP32(8, -3), getSum32(8, -3, 0, 0)); |
| EXPECT_EQ(SP32(UINT32_MAX, 0), getSum32(UINT32_MAX, 0, 0, 0)); |
| EXPECT_EQ(SP32(3, 0), getSum32(2, 0, 1, 0)); |
| EXPECT_EQ(SP32(67, 0), getSum32(60, 0, 7, 0)); |
| EXPECT_EQ(SP32(3, 0), getSum32(1, 1, 1, 0)); |
| EXPECT_EQ(SP32(4, 0), getSum32(1, 1, 2, 0)); |
| EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 0, 1, 32)); |
| EXPECT_EQ(SP32(UINT32_C(1) << 31, -31), getSum32(1, 0, 1, -32)); |
| EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), getSum32(1, 1, 1, 32)); |
| EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -32), getSum32(1, -1, 1, -32)); |
| EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(UINT32_MAX, 0, 1, 0)); |
| |
| // Zero. |
| EXPECT_EQ(SP64(1, 0), getSum64(0, 0, 1, 0)); |
| EXPECT_EQ(SP64(8, -3), getSum64(0, 0, 8, -3)); |
| EXPECT_EQ(SP64(UINT64_MAX, 0), getSum64(0, 0, UINT64_MAX, 0)); |
| |
| // Basic. |
| EXPECT_EQ(SP64(2, 0), getSum64(1, 0, 1, 0)); |
| EXPECT_EQ(SP64(3, 0), getSum64(1, 0, 2, 0)); |
| EXPECT_EQ(SP64(67, 0), getSum64(7, 0, 60, 0)); |
| |
| // Different scales. |
| EXPECT_EQ(SP64(3, 0), getSum64(1, 0, 1, 1)); |
| EXPECT_EQ(SP64(4, 0), getSum64(2, 0, 1, 1)); |
| |
| // Loss of precision. |
| EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 64, 1, 0)); |
| EXPECT_EQ(SP64(UINT64_C(1) << 63, -63), getSum64(1, -64, 1, 0)); |
| |
| // Not quite loss of precision. |
| EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), getSum64(1, 64, 1, 1)); |
| EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -64), getSum64(1, -64, 1, -1)); |
| |
| // Overflow. |
| EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 0, UINT64_MAX, 0)); |
| |
| // Reverse operand order. |
| EXPECT_EQ(SP64(1, 0), getSum64(1, 0, 0, 0)); |
| EXPECT_EQ(SP64(8, -3), getSum64(8, -3, 0, 0)); |
| EXPECT_EQ(SP64(UINT64_MAX, 0), getSum64(UINT64_MAX, 0, 0, 0)); |
| EXPECT_EQ(SP64(3, 0), getSum64(2, 0, 1, 0)); |
| EXPECT_EQ(SP64(67, 0), getSum64(60, 0, 7, 0)); |
| EXPECT_EQ(SP64(3, 0), getSum64(1, 1, 1, 0)); |
| EXPECT_EQ(SP64(4, 0), getSum64(1, 1, 2, 0)); |
| EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 0, 1, 64)); |
| EXPECT_EQ(SP64(UINT64_C(1) << 63, -63), getSum64(1, 0, 1, -64)); |
| EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), getSum64(1, 1, 1, 64)); |
| EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -64), getSum64(1, -1, 1, -64)); |
| EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(UINT64_MAX, 0, 1, 0)); |
| } |
| |
| TEST(ScaledNumberHelpersTest, getDifference) { |
| // Basic. |
| EXPECT_EQ(SP32(0, 0), getDifference32(1, 0, 1, 0)); |
| EXPECT_EQ(SP32(1, 0), getDifference32(2, 0, 1, 0)); |
| EXPECT_EQ(SP32(53, 0), getDifference32(60, 0, 7, 0)); |
| |
| // Equals "0", different scales. |
| EXPECT_EQ(SP32(0, 0), getDifference32(2, 0, 1, 1)); |
| |
| // Subtract "0". |
| EXPECT_EQ(SP32(1, 0), getDifference32(1, 0, 0, 0)); |
| EXPECT_EQ(SP32(8, -3), getDifference32(8, -3, 0, 0)); |
| EXPECT_EQ(SP32(UINT32_MAX, 0), getDifference32(UINT32_MAX, 0, 0, 0)); |
| |
| // Loss of precision. |
| EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), |
| getDifference32((UINT32_C(1) << 31) + 1, 1, 1, 0)); |
| EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -31), |
| getDifference32((UINT32_C(1) << 31) + 1, -31, 1, -32)); |
| |
| // Not quite loss of precision. |
| EXPECT_EQ(SP32(UINT32_MAX, 0), getDifference32(1, 32, 1, 0)); |
| EXPECT_EQ(SP32(UINT32_MAX, -32), getDifference32(1, 0, 1, -32)); |
| |
| // Saturate to "0". |
| EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, 1, 0)); |
| EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, 8, -3)); |
| EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, UINT32_MAX, 0)); |
| EXPECT_EQ(SP32(0, 0), getDifference32(7, 0, 60, 0)); |
| EXPECT_EQ(SP32(0, 0), getDifference32(1, 0, 1, 1)); |
| EXPECT_EQ(SP32(0, 0), getDifference32(1, -32, 1, 0)); |
| EXPECT_EQ(SP32(0, 0), getDifference32(1, -32, 1, -1)); |
| |
| // Regression tests for cases that failed during bringup. |
| EXPECT_EQ(SP32(UINT32_C(1) << 26, -31), |
| getDifference32(1, 0, UINT32_C(31) << 27, -32)); |
| |
| // Basic. |
| EXPECT_EQ(SP64(0, 0), getDifference64(1, 0, 1, 0)); |
| EXPECT_EQ(SP64(1, 0), getDifference64(2, 0, 1, 0)); |
| EXPECT_EQ(SP64(53, 0), getDifference64(60, 0, 7, 0)); |
| |
| // Equals "0", different scales. |
| EXPECT_EQ(SP64(0, 0), getDifference64(2, 0, 1, 1)); |
| |
| // Subtract "0". |
| EXPECT_EQ(SP64(1, 0), getDifference64(1, 0, 0, 0)); |
| EXPECT_EQ(SP64(8, -3), getDifference64(8, -3, 0, 0)); |
| EXPECT_EQ(SP64(UINT64_MAX, 0), getDifference64(UINT64_MAX, 0, 0, 0)); |
| |
| // Loss of precision. |
| EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), |
| getDifference64((UINT64_C(1) << 63) + 1, 1, 1, 0)); |
| EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -63), |
| getDifference64((UINT64_C(1) << 63) + 1, -63, 1, -64)); |
| |
| // Not quite loss of precision. |
| EXPECT_EQ(SP64(UINT64_MAX, 0), getDifference64(1, 64, 1, 0)); |
| EXPECT_EQ(SP64(UINT64_MAX, -64), getDifference64(1, 0, 1, -64)); |
| |
| // Saturate to "0". |
| EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, 1, 0)); |
| EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, 8, -3)); |
| EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, UINT64_MAX, 0)); |
| EXPECT_EQ(SP64(0, 0), getDifference64(7, 0, 60, 0)); |
| EXPECT_EQ(SP64(0, 0), getDifference64(1, 0, 1, 1)); |
| EXPECT_EQ(SP64(0, 0), getDifference64(1, -64, 1, 0)); |
| EXPECT_EQ(SP64(0, 0), getDifference64(1, -64, 1, -1)); |
| } |
| |
| TEST(ScaledNumberHelpersTest, arithmeticOperators) { |
| EXPECT_EQ(ScaledNumber<uint32_t>(10, 0), |
| ScaledNumber<uint32_t>(1, 3) + ScaledNumber<uint32_t>(1, 1)); |
| EXPECT_EQ(ScaledNumber<uint32_t>(6, 0), |
| ScaledNumber<uint32_t>(1, 3) - ScaledNumber<uint32_t>(1, 1)); |
| EXPECT_EQ(ScaledNumber<uint32_t>(2, 3), |
| ScaledNumber<uint32_t>(1, 3) * ScaledNumber<uint32_t>(1, 1)); |
| EXPECT_EQ(ScaledNumber<uint32_t>(1, 2), |
| ScaledNumber<uint32_t>(1, 3) / ScaledNumber<uint32_t>(1, 1)); |
| EXPECT_EQ(ScaledNumber<uint32_t>(1, 2), ScaledNumber<uint32_t>(1, 3) >> 1); |
| EXPECT_EQ(ScaledNumber<uint32_t>(1, 4), ScaledNumber<uint32_t>(1, 3) << 1); |
| |
| EXPECT_EQ(ScaledNumber<uint64_t>(10, 0), |
| ScaledNumber<uint64_t>(1, 3) + ScaledNumber<uint64_t>(1, 1)); |
| EXPECT_EQ(ScaledNumber<uint64_t>(6, 0), |
| ScaledNumber<uint64_t>(1, 3) - ScaledNumber<uint64_t>(1, 1)); |
| EXPECT_EQ(ScaledNumber<uint64_t>(2, 3), |
| ScaledNumber<uint64_t>(1, 3) * ScaledNumber<uint64_t>(1, 1)); |
| EXPECT_EQ(ScaledNumber<uint64_t>(1, 2), |
| ScaledNumber<uint64_t>(1, 3) / ScaledNumber<uint64_t>(1, 1)); |
| EXPECT_EQ(ScaledNumber<uint64_t>(1, 2), ScaledNumber<uint64_t>(1, 3) >> 1); |
| EXPECT_EQ(ScaledNumber<uint64_t>(1, 4), ScaledNumber<uint64_t>(1, 3) << 1); |
| } |
| |
| TEST(ScaledNumberHelpersTest, toIntBug) { |
| ScaledNumber<uint32_t> n(1, 0); |
| EXPECT_EQ(1u, (n * n).toInt<uint32_t>()); |
| } |
| |
| static_assert(is_trivially_copyable<ScaledNumber<uint32_t>>::value, |
| "trivially copyable"); |
| |
| } // end namespace |
