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// 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. #include "src/base/bits.h" #include <limits> #include "src/base/logging.h" namespace v8 { namespace base { namespace bits { int32_t SignedMulHigh32(int32_t lhs, int32_t rhs) { int64_t const value = static_cast<int64_t>(lhs) * static_cast<int64_t>(rhs); return base::bit_cast<int32_t, uint32_t>(base::bit_cast<uint64_t>(value) >> 32u); } // The algorithm used is described in section 8.2 of // Hacker's Delight, by Henry S. Warren, Jr. // It assumes that a right shift on a signed integer is an arithmetic shift. int64_t SignedMulHigh64(int64_t u, int64_t v) { uint64_t u0 = u & 0xFFFFFFFF; int64_t u1 = u >> 32; uint64_t v0 = v & 0xFFFFFFFF; int64_t v1 = v >> 32; uint64_t w0 = u0 * v0; int64_t t = u1 * v0 + (w0 >> 32); int64_t w1 = t & 0xFFFFFFFF; int64_t w2 = t >> 32; w1 = u0 * v1 + w1; return u1 * v1 + w2 + (w1 >> 32); } // The algorithm used is described in section 8.2 of // Hacker's Delight, by Henry S. Warren, Jr. uint64_t UnsignedMulHigh64(uint64_t u, uint64_t v) { uint64_t u0 = u & 0xFFFFFFFF; uint64_t u1 = u >> 32; uint64_t v0 = v & 0xFFFFFFFF; uint64_t v1 = v >> 32; uint64_t w0 = u0 * v0; uint64_t t = u1 * v0 + (w0 >> 32); uint64_t w1 = t & 0xFFFFFFFFLL; uint64_t w2 = t >> 32; w1 = u0 * v1 + w1; return u1 * v1 + w2 + (w1 >> 32); } uint32_t UnsignedMulHigh32(uint32_t lhs, uint32_t rhs) { uint64_t const value = static_cast<uint64_t>(lhs) * static_cast<uint64_t>(rhs); return static_cast<uint32_t>(value >> 32u); } int32_t SignedMulHighAndAdd32(int32_t lhs, int32_t rhs, int32_t acc) { return base::bit_cast<int32_t>( base::bit_cast<uint32_t>(acc) + base::bit_cast<uint32_t>(SignedMulHigh32(lhs, rhs))); } int32_t SignedDiv32(int32_t lhs, int32_t rhs) { if (rhs == 0) return 0; if (rhs == -1) return lhs == std::numeric_limits<int32_t>::min() ? lhs : -lhs; return lhs / rhs; } int64_t SignedDiv64(int64_t lhs, int64_t rhs) { if (rhs == 0) return 0; if (rhs == -1) return lhs == std::numeric_limits<int64_t>::min() ? lhs : -lhs; return lhs / rhs; } int32_t SignedMod32(int32_t lhs, int32_t rhs) { if (rhs == 0 || rhs == -1) return 0; return lhs % rhs; } int64_t SignedMod64(int64_t lhs, int64_t rhs) { if (rhs == 0 || rhs == -1) return 0; return lhs % rhs; } int64_t SignedSaturatedAdd64(int64_t lhs, int64_t rhs) { using limits = std::numeric_limits<int64_t>; // Underflow if {lhs + rhs < min}. In that case, return {min}. if (rhs < 0 && lhs < limits::min() - rhs) return limits::min(); // Overflow if {lhs + rhs > max}. In that case, return {max}. if (rhs >= 0 && lhs > limits::max() - rhs) return limits::max(); return lhs + rhs; } int64_t SignedSaturatedSub64(int64_t lhs, int64_t rhs) { using limits = std::numeric_limits<int64_t>; // Underflow if {lhs - rhs < min}. In that case, return {min}. if (rhs > 0 && lhs < limits::min() + rhs) return limits::min(); // Overflow if {lhs - rhs > max}. In that case, return {max}. if (rhs <= 0 && lhs > limits::max() + rhs) return limits::max(); return lhs - rhs; } } // namespace bits } // namespace base } // namespace v8