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143 lines
5.3 KiB
C++
143 lines
5.3 KiB
C++
// Copyright 2013 The Chromium Authors
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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// This file defines some bit utilities.
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#ifndef BASE_BITS_H_
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#define BASE_BITS_H_
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#include <stddef.h>
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#include <stdint.h>
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#include <type_traits>
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#include "base/check.h"
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#include "base/compiler_specific.h"
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#include "build/build_config.h"
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namespace base {
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namespace bits {
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// Returns true iff |value| is a power of 2.
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//
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// TODO(pkasting): When C++20 is available, replace with std::has_single_bit().
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template <typename T, typename = std::enable_if_t<std::is_integral<T>::value>>
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constexpr bool IsPowerOfTwo(T value) {
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// From "Hacker's Delight": Section 2.1 Manipulating Rightmost Bits.
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//
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// Only positive integers with a single bit set are powers of two. If only one
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// bit is set in x (e.g. 0b00000100000000) then |x-1| will have that bit set
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// to zero and all bits to its right set to 1 (e.g. 0b00000011111111). Hence
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// |x & (x-1)| is 0 iff x is a power of two.
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return value > 0 && (value & (value - 1)) == 0;
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}
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// Round down |size| to a multiple of alignment, which must be a power of two.
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template <typename T, typename = std::enable_if_t<std::is_integral_v<T>>>
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constexpr T AlignDown(T size, T alignment) {
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DCHECK(IsPowerOfTwo(alignment));
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return size & ~(alignment - 1);
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}
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// Move |ptr| back to the previous multiple of alignment, which must be a power
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// of two. Defined for types where sizeof(T) is one byte.
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template <typename T, typename = typename std::enable_if<sizeof(T) == 1>::type>
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inline T* AlignDown(T* ptr, uintptr_t alignment) {
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return reinterpret_cast<T*>(
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AlignDown(reinterpret_cast<uintptr_t>(ptr), alignment));
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}
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// Round up |size| to a multiple of alignment, which must be a power of two.
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template <typename T, typename = std::enable_if_t<std::is_integral_v<T>>>
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constexpr T AlignUp(T size, T alignment) {
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DCHECK(IsPowerOfTwo(alignment));
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return (size + alignment - 1) & ~(alignment - 1);
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}
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// Advance |ptr| to the next multiple of alignment, which must be a power of
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// two. Defined for types where sizeof(T) is one byte.
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template <typename T, typename = typename std::enable_if<sizeof(T) == 1>::type>
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inline T* AlignUp(T* ptr, uintptr_t alignment) {
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return reinterpret_cast<T*>(
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AlignUp(reinterpret_cast<uintptr_t>(ptr), alignment));
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}
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// CountLeadingZeroBits(value) returns the number of zero bits following the
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// most significant 1 bit in |value| if |value| is non-zero, otherwise it
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// returns {sizeof(T) * 8}.
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// Example: 00100010 -> 2
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//
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// CountTrailingZeroBits(value) returns the number of zero bits preceding the
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// least significant 1 bit in |value| if |value| is non-zero, otherwise it
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// returns {sizeof(T) * 8}.
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// Example: 00100010 -> 1
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//
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// C does not have an operator to do this, but fortunately the various
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// compilers have built-ins that map to fast underlying processor instructions.
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//
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// TODO(pkasting): When C++20 is available, replace with std::countl_zero() and
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// similar.
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// __builtin_clz has undefined behaviour for an input of 0, even though there's
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// clearly a return value that makes sense, and even though some processor clz
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// instructions have defined behaviour for 0. We could drop to raw __asm__ to
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// do better, but we'll avoid doing that unless we see proof that we need to.
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template <typename T, int bits = sizeof(T) * 8>
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ALWAYS_INLINE constexpr
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typename std::enable_if<std::is_unsigned<T>::value && sizeof(T) <= 8,
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int>::type
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CountLeadingZeroBits(T value) {
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static_assert(bits > 0, "invalid instantiation");
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return LIKELY(value)
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? bits == 64
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? __builtin_clzll(static_cast<uint64_t>(value))
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: __builtin_clz(static_cast<uint32_t>(value)) - (32 - bits)
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: bits;
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}
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template <typename T, int bits = sizeof(T) * 8>
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ALWAYS_INLINE constexpr
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typename std::enable_if<std::is_unsigned<T>::value && sizeof(T) <= 8,
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int>::type
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CountTrailingZeroBits(T value) {
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return LIKELY(value) ? bits == 64
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? __builtin_ctzll(static_cast<uint64_t>(value))
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: __builtin_ctz(static_cast<uint32_t>(value))
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: bits;
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}
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// Returns the integer i such as 2^i <= n < 2^(i+1).
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//
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// There is a common `BitLength` function, which returns the number of bits
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// required to represent a value. Rather than implement that function,
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// use `Log2Floor` and add 1 to the result.
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//
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// TODO(pkasting): When C++20 is available, replace with std::bit_xxx().
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constexpr int Log2Floor(uint32_t n) {
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return 31 - CountLeadingZeroBits(n);
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}
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// Returns the integer i such as 2^(i-1) < n <= 2^i.
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constexpr int Log2Ceiling(uint32_t n) {
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// When n == 0, we want the function to return -1.
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// When n == 0, (n - 1) will underflow to 0xFFFFFFFF, which is
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// why the statement below starts with (n ? 32 : -1).
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return (n ? 32 : -1) - CountLeadingZeroBits(n - 1);
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}
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// Returns a value of type T with a single bit set in the left-most position.
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// Can be used instead of manually shifting a 1 to the left.
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template <typename T>
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constexpr T LeftmostBit() {
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static_assert(std::is_integral<T>::value,
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"This function can only be used with integral types.");
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T one(1u);
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return one << (8 * sizeof(T) - 1);
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}
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} // namespace bits
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} // namespace base
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#endif // BASE_BITS_H_
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