// Copyright 2014 the V8 project authors. All rights reserved. // Use of this source code is governed by a BSD-style license that can be // found in the LICENSE file. // Check all examples from table 10-1 of "Hacker's Delight". #include "src/base/division-by-constant.h" #include <ostream> // NOLINT #include "testing/gtest-support.h" namespace v8 { namespace base { template <class T> std::ostream& operator<<(std::ostream& os, const MagicNumbersForDivision<T>& mag) { return os << "{ multiplier: " << mag.multiplier << ", shift: " << mag.shift << ", add: " << mag.add << " }"; } // Some abbreviations... typedef MagicNumbersForDivision<uint32_t> M32; typedef MagicNumbersForDivision<uint64_t> M64; static M32 s32(int32_t d) { return SignedDivisionByConstant<uint32_t>(static_cast<uint32_t>(d)); } static M64 s64(int64_t d) { return SignedDivisionByConstant<uint64_t>(static_cast<uint64_t>(d)); } static M32 u32(uint32_t d) { return UnsignedDivisionByConstant<uint32_t>(d); } static M64 u64(uint64_t d) { return UnsignedDivisionByConstant<uint64_t>(d); } TEST(DivisionByConstant, Signed32) { EXPECT_EQ(M32(0x99999999U, 1, false), s32(-5)); EXPECT_EQ(M32(0x55555555U, 1, false), s32(-3)); int32_t d = -1; for (unsigned k = 1; k <= 32 - 1; ++k) { d *= 2; EXPECT_EQ(M32(0x7FFFFFFFU, k - 1, false), s32(d)); } for (unsigned k = 1; k <= 32 - 2; ++k) { EXPECT_EQ(M32(0x80000001U, k - 1, false), s32(1 << k)); } EXPECT_EQ(M32(0x55555556U, 0, false), s32(3)); EXPECT_EQ(M32(0x66666667U, 1, false), s32(5)); EXPECT_EQ(M32(0x2AAAAAABU, 0, false), s32(6)); EXPECT_EQ(M32(0x92492493U, 2, false), s32(7)); EXPECT_EQ(M32(0x38E38E39U, 1, false), s32(9)); EXPECT_EQ(M32(0x66666667U, 2, false), s32(10)); EXPECT_EQ(M32(0x2E8BA2E9U, 1, false), s32(11)); EXPECT_EQ(M32(0x2AAAAAABU, 1, false), s32(12)); EXPECT_EQ(M32(0x51EB851FU, 3, false), s32(25)); EXPECT_EQ(M32(0x10624DD3U, 3, false), s32(125)); EXPECT_EQ(M32(0x68DB8BADU, 8, false), s32(625)); } TEST(DivisionByConstant, Unsigned32) { EXPECT_EQ(M32(0x00000000U, 0, true), u32(1)); for (unsigned k = 1; k <= 30; ++k) { EXPECT_EQ(M32(1U << (32 - k), 0, false), u32(1U << k)); } EXPECT_EQ(M32(0xAAAAAAABU, 1, false), u32(3)); EXPECT_EQ(M32(0xCCCCCCCDU, 2, false), u32(5)); EXPECT_EQ(M32(0xAAAAAAABU, 2, false), u32(6)); EXPECT_EQ(M32(0x24924925U, 3, true), u32(7)); EXPECT_EQ(M32(0x38E38E39U, 1, false), u32(9)); EXPECT_EQ(M32(0xCCCCCCCDU, 3, false), u32(10)); EXPECT_EQ(M32(0xBA2E8BA3U, 3, false), u32(11)); EXPECT_EQ(M32(0xAAAAAAABU, 3, false), u32(12)); EXPECT_EQ(M32(0x51EB851FU, 3, false), u32(25)); EXPECT_EQ(M32(0x10624DD3U, 3, false), u32(125)); EXPECT_EQ(M32(0xD1B71759U, 9, false), u32(625)); } TEST(DivisionByConstant, Signed64) { EXPECT_EQ(M64(0x9999999999999999ULL, 1, false), s64(-5)); EXPECT_EQ(M64(0x5555555555555555ULL, 1, false), s64(-3)); int64_t d = -1; for (unsigned k = 1; k <= 64 - 1; ++k) { d *= 2; EXPECT_EQ(M64(0x7FFFFFFFFFFFFFFFULL, k - 1, false), s64(d)); } for (unsigned k = 1; k <= 64 - 2; ++k) { EXPECT_EQ(M64(0x8000000000000001ULL, k - 1, false), s64(1LL << k)); } EXPECT_EQ(M64(0x5555555555555556ULL, 0, false), s64(3)); EXPECT_EQ(M64(0x6666666666666667ULL, 1, false), s64(5)); EXPECT_EQ(M64(0x2AAAAAAAAAAAAAABULL, 0, false), s64(6)); EXPECT_EQ(M64(0x4924924924924925ULL, 1, false), s64(7)); EXPECT_EQ(M64(0x1C71C71C71C71C72ULL, 0, false), s64(9)); EXPECT_EQ(M64(0x6666666666666667ULL, 2, false), s64(10)); EXPECT_EQ(M64(0x2E8BA2E8BA2E8BA3ULL, 1, false), s64(11)); EXPECT_EQ(M64(0x2AAAAAAAAAAAAAABULL, 1, false), s64(12)); EXPECT_EQ(M64(0xA3D70A3D70A3D70BULL, 4, false), s64(25)); EXPECT_EQ(M64(0x20C49BA5E353F7CFULL, 4, false), s64(125)); EXPECT_EQ(M64(0x346DC5D63886594BULL, 7, false), s64(625)); } TEST(DivisionByConstant, Unsigned64) { EXPECT_EQ(M64(0x0000000000000000ULL, 0, true), u64(1)); for (unsigned k = 1; k <= 64 - 2; ++k) { EXPECT_EQ(M64(1ULL << (64 - k), 0, false), u64(1ULL << k)); } EXPECT_EQ(M64(0xAAAAAAAAAAAAAAABULL, 1, false), u64(3)); EXPECT_EQ(M64(0xCCCCCCCCCCCCCCCDULL, 2, false), u64(5)); EXPECT_EQ(M64(0xAAAAAAAAAAAAAAABULL, 2, false), u64(6)); EXPECT_EQ(M64(0x2492492492492493ULL, 3, true), u64(7)); EXPECT_EQ(M64(0xE38E38E38E38E38FULL, 3, false), u64(9)); EXPECT_EQ(M64(0xCCCCCCCCCCCCCCCDULL, 3, false), u64(10)); EXPECT_EQ(M64(0x2E8BA2E8BA2E8BA3ULL, 1, false), u64(11)); EXPECT_EQ(M64(0xAAAAAAAAAAAAAAABULL, 3, false), u64(12)); EXPECT_EQ(M64(0x47AE147AE147AE15ULL, 5, true), u64(25)); EXPECT_EQ(M64(0x0624DD2F1A9FBE77ULL, 7, true), u64(125)); EXPECT_EQ(M64(0x346DC5D63886594BULL, 7, false), u64(625)); } } // namespace base } // namespace v8