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+/* -*- Mode: C++; tab-width: 2; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
+/* vim: set ts=8 sts=2 et sw=2 tw=80: */
+/* This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
+
+// PowerOfTwo is a value type that always hold a power of 2.
+// It has the same size as their underlying unsigned type, but offer the
+// guarantee of being a power of 2, which permits some optimizations when
+// involved in modulo operations (using masking instead of actual modulo).
+//
+// PowerOfTwoMask contains a mask corresponding to a power of 2.
+// E.g., 2^8 is 256 or 0x100, the corresponding mask is 2^8-1 or 255 or 0xFF.
+// It should be used instead of PowerOfTwo in situations where most operations
+// would be modulo, this saves having to recompute the mask from the stored
+// power of 2.
+//
+// One common use would be for ring-buffer containers with a power-of-2 size,
+// where an index is usually converted to an in-buffer offset by `i % size`.
+// Instead, the container could store a PowerOfTwo or PowerOfTwoMask, and do
+// `i % p2` or `i & p2m`, which is more efficient than for arbitrary sizes.
+//
+// Shortcuts for common 32- and 64-bit values: PowerOfTwo32, etc.
+//
+// To create constexpr constants, use MakePowerOfTwo<Type, Value>(), etc.
+
+#ifndef PowerOfTwo_h
+#define PowerOfTwo_h
+
+#include "mozilla/MathAlgorithms.h"
+
+#include <limits>
+
+namespace mozilla {
+
+// Compute the smallest power of 2 greater than or equal to aInput, except if
+// that would overflow in which case the highest possible power of 2 if chosen.
+// 0->1, 1->1, 2->2, 3->4, ... 2^31->2^31, 2^31+1->2^31 (for uint32_t), etc.
+template <typename T>
+T FriendlyRoundUpPow2(T aInput) {
+ // This is the same code as `RoundUpPow2()`, except we handle any type (that
+ // CeilingLog2 supports) and allow the greater-than-max-power case.
+ constexpr T max = T(1) << (sizeof(T) * CHAR_BIT - 1);
+ if (aInput >= max) {
+ return max;
+ }
+ return T(1) << CeilingLog2(aInput);
+}
+
+namespace detail {
+// Same function name `CountLeadingZeroes` with uint32_t and uint64_t overloads.
+inline uint_fast8_t CountLeadingZeroes(uint32_t aValue) {
+ MOZ_ASSERT(aValue != 0);
+ return detail::CountLeadingZeroes32(aValue);
+}
+inline uint_fast8_t CountLeadingZeroes(uint64_t aValue) {
+ MOZ_ASSERT(aValue != 0);
+ return detail::CountLeadingZeroes64(aValue);
+}
+// Refuse anything else.
+template <typename T>
+inline uint_fast8_t CountLeadingZeroes(T aValue) = delete;
+} // namespace detail
+
+// Compute the smallest 2^N-1 mask where aInput can fit.
+// I.e., `x & mask == x`, but `x & (mask >> 1) != x`.
+// Or looking at binary, we want a mask with as many leading zeroes as the
+// input, by right-shifting a full mask: (8-bit examples)
+// input: 00000000 00000001 00000010 00010110 01111111 10000000
+// N leading 0s: ^^^^^^^^ 8 ^^^^^^^ 7 ^^^^^^ 6 ^^^ 3 ^ 1 0
+// full mask: 11111111 11111111 11111111 11111111 11111111 11111111
+// full mask >> N: 00000000 00000001 00000011 00011111 01111111 11111111
+template <typename T>
+T RoundUpPow2Mask(T aInput) {
+ // Special case, as CountLeadingZeroes(0) is undefined. (And even if that was
+ // defined, shifting by the full type size is also undefined!)
+ if (aInput == 0) {
+ return 0;
+ }
+ return T(-1) >> detail::CountLeadingZeroes(aInput);
+}
+
+template <typename T>
+class PowerOfTwoMask;
+
+template <typename T, T Mask>
+constexpr PowerOfTwoMask<T> MakePowerOfTwoMask();
+
+template <typename T>
+class PowerOfTwo;
+
+template <typename T, T Value>
+constexpr PowerOfTwo<T> MakePowerOfTwo();
+
+// PowerOfTwoMask will always contain a mask for a power of 2, which is useful
+// for power-of-2 modulo operations (e.g., to keep an index inside a power-of-2
+// container).
+// Use this instead of PowerOfTwo if masking is the primary use of the value.
+//
+// Note that this class can store a "full" mask where all bits are set, so it
+// works for mask corresponding to the power of 2 that would overflow `T`
+// (e.g., 2^32 for uint32_t gives a mask of 2^32-1, which fits in a uint32_t).
+// For this reason there is no API that computes the power of 2 corresponding to
+// the mask; But this can be done explicitly with `MaskValue() + 1`, which may
+// be useful for computing things like distance-to-the-end by doing
+// `MaskValue() + 1 - offset`, which works fine with unsigned number types.
+template <typename T>
+class PowerOfTwoMask {
+ static_assert(!std::numeric_limits<T>::is_signed,
+ "PowerOfTwoMask must use an unsigned type");
+
+ public:
+ // Construct a power of 2 mask where the given value can fit.
+ // Cannot be constexpr because of `RoundUpPow2Mask()`.
+ explicit PowerOfTwoMask(T aInput) : mMask(RoundUpPow2Mask(aInput)) {}
+
+ // Compute the mask corresponding to a PowerOfTwo.
+ // This saves having to compute the nearest 2^N-1.
+ // Not a conversion constructor, as that could be ambiguous whether we'd want
+ // the mask corresponding to the power of 2 (2^N -> 2^N-1), or the mask that
+ // can *contain* the PowerOfTwo value (2^N -> 2^(N+1)-1).
+ // Note: Not offering reverse PowerOfTwoMark-to-PowerOfTwo conversion, because
+ // that could result in an unexpected 0 result for the largest possible mask.
+ template <typename U>
+ static constexpr PowerOfTwoMask<U> MaskForPowerOfTwo(
+ const PowerOfTwo<U>& aP2) {
+ return PowerOfTwoMask(aP2);
+ }
+
+ // Allow smaller unsigned types as input.
+ // Bigger or signed types must be explicitly converted by the caller.
+ template <typename U>
+ explicit constexpr PowerOfTwoMask(U aInput)
+ : mMask(RoundUpPow2Mask(static_cast<T>(aInput))) {
+ static_assert(!std::numeric_limits<T>::is_signed,
+ "PowerOfTwoMask does not accept signed types");
+ static_assert(sizeof(U) <= sizeof(T),
+ "PowerOfTwoMask does not accept bigger types");
+ }
+
+ constexpr T MaskValue() const { return mMask; }
+
+ // `x & aPowerOfTwoMask` just works.
+ template <typename U>
+ friend U operator&(U aNumber, PowerOfTwoMask aP2M) {
+ return static_cast<U>(aNumber & aP2M.MaskValue());
+ }
+
+ // `aPowerOfTwoMask & x` just works.
+ template <typename U>
+ friend constexpr U operator&(PowerOfTwoMask aP2M, U aNumber) {
+ return static_cast<U>(aP2M.MaskValue() & aNumber);
+ }
+
+ // `x % aPowerOfTwoMask(2^N-1)` is equivalent to `x % 2^N` but is more
+ // optimal by doing `x & (2^N-1)`.
+ // Useful for templated code doing modulo with a template argument type.
+ template <typename U>
+ friend constexpr U operator%(U aNumerator, PowerOfTwoMask aDenominator) {
+ return aNumerator & aDenominator.MaskValue();
+ }
+
+ constexpr bool operator==(const PowerOfTwoMask& aRhs) const {
+ return mMask == aRhs.mMask;
+ }
+ constexpr bool operator!=(const PowerOfTwoMask& aRhs) const {
+ return mMask != aRhs.mMask;
+ }
+
+ private:
+ // Trust `PowerOfTwo` to call the private Trusted constructor below.
+ friend class PowerOfTwo<T>;
+
+ // Trust `MakePowerOfTwoMask()` to call the private Trusted constructor below.
+ template <typename U, U Mask>
+ friend constexpr PowerOfTwoMask<U> MakePowerOfTwoMask();
+
+ struct Trusted {
+ T mMask;
+ };
+ // Construct the mask corresponding to a PowerOfTwo.
+ // This saves having to compute the nearest 2^N-1.
+ // Note: Not a public PowerOfTwo->PowerOfTwoMask conversion constructor, as
+ // that could be ambiguous whether we'd want the mask corresponding to the
+ // power of 2 (2^N -> 2^N-1), or the mask that can *contain* the PowerOfTwo
+ // value (2^N -> 2^(N+1)-1).
+ explicit constexpr PowerOfTwoMask(const Trusted& aP2) : mMask(aP2.mMask) {}
+
+ T mMask = 0;
+};
+
+// Make a PowerOfTwoMask constant, statically-checked.
+template <typename T, T Mask>
+constexpr PowerOfTwoMask<T> MakePowerOfTwoMask() {
+ static_assert(Mask == T(-1) || IsPowerOfTwo(Mask + 1),
+ "MakePowerOfTwoMask<T, Mask>: Mask must be 2^N-1");
+ using Trusted = typename PowerOfTwoMask<T>::Trusted;
+ return PowerOfTwoMask<T>(Trusted{Mask});
+}
+
+// PowerOfTwo will always contain a power of 2.
+template <typename T>
+class PowerOfTwo {
+ static_assert(!std::numeric_limits<T>::is_signed,
+ "PowerOfTwo must use an unsigned type");
+
+ public:
+ // Construct a power of 2 that can fit the given value, or the highest power
+ // of 2 possible.
+ // Caller should explicitly check/assert `Value() <= aInput` if they want to.
+ // Cannot be constexpr because of `FriendlyRoundUpPow2()`.
+ explicit PowerOfTwo(T aInput) : mValue(FriendlyRoundUpPow2(aInput)) {}
+
+ // Allow smaller unsigned types as input.
+ // Bigger or signed types must be explicitly converted by the caller.
+ template <typename U>
+ explicit PowerOfTwo(U aInput)
+ : mValue(FriendlyRoundUpPow2(static_cast<T>(aInput))) {
+ static_assert(!std::numeric_limits<T>::is_signed,
+ "PowerOfTwo does not accept signed types");
+ static_assert(sizeof(U) <= sizeof(T),
+ "PowerOfTwo does not accept bigger types");
+ }
+
+ constexpr T Value() const { return mValue; }
+
+ // Binary mask corresponding to the power of 2, useful for modulo.
+ // E.g., `x & powerOfTwo(y).Mask()` == `x % powerOfTwo(y)`.
+ // Consider PowerOfTwoMask class instead of PowerOfTwo if masking is the
+ // primary use case.
+ constexpr T MaskValue() const { return mValue - 1; }
+
+ // PowerOfTwoMask corresponding to this power of 2, useful for modulo.
+ constexpr PowerOfTwoMask<T> Mask() const {
+ using Trusted = typename PowerOfTwoMask<T>::Trusted;
+ return PowerOfTwoMask<T>(Trusted{MaskValue()});
+ }
+
+ // `x % aPowerOfTwo` works optimally.
+ // Useful for templated code doing modulo with a template argument type.
+ // Use PowerOfTwoMask class instead if masking is the primary use case.
+ template <typename U>
+ friend constexpr U operator%(U aNumerator, PowerOfTwo aDenominator) {
+ return aNumerator & aDenominator.MaskValue();
+ }
+
+ constexpr bool operator==(const PowerOfTwo& aRhs) const {
+ return mValue == aRhs.mValue;
+ }
+ constexpr bool operator!=(const PowerOfTwo& aRhs) const {
+ return mValue != aRhs.mValue;
+ }
+ constexpr bool operator<(const PowerOfTwo& aRhs) const {
+ return mValue < aRhs.mValue;
+ }
+ constexpr bool operator<=(const PowerOfTwo& aRhs) const {
+ return mValue <= aRhs.mValue;
+ }
+ constexpr bool operator>(const PowerOfTwo& aRhs) const {
+ return mValue > aRhs.mValue;
+ }
+ constexpr bool operator>=(const PowerOfTwo& aRhs) const {
+ return mValue >= aRhs.mValue;
+ }
+
+ private:
+ // Trust `MakePowerOfTwo()` to call the private Trusted constructor below.
+ template <typename U, U Value>
+ friend constexpr PowerOfTwo<U> MakePowerOfTwo();
+
+ struct Trusted {
+ T mValue;
+ };
+ // Construct a PowerOfTwo with the given trusted value.
+ // This saves having to compute the nearest 2^N.
+ // Note: Not offering PowerOfTwoMark-to-PowerOfTwo conversion, because that
+ // could result in an unexpected 0 result for the largest possible mask.
+ explicit constexpr PowerOfTwo(const Trusted& aP2) : mValue(aP2.mValue) {}
+
+ // The smallest power of 2 is 2^0 == 1.
+ T mValue = 1;
+};
+
+// Make a PowerOfTwo constant, statically-checked.
+template <typename T, T Value>
+constexpr PowerOfTwo<T> MakePowerOfTwo() {
+ static_assert(IsPowerOfTwo(Value),
+ "MakePowerOfTwo<T, Value>: Value must be 2^N");
+ using Trusted = typename PowerOfTwo<T>::Trusted;
+ return PowerOfTwo<T>(Trusted{Value});
+}
+
+// Shortcuts for the most common types and functions.
+
+using PowerOfTwoMask32 = PowerOfTwoMask<uint32_t>;
+using PowerOfTwo32 = PowerOfTwo<uint32_t>;
+using PowerOfTwoMask64 = PowerOfTwoMask<uint64_t>;
+using PowerOfTwo64 = PowerOfTwo<uint64_t>;
+
+template <uint32_t Mask>
+constexpr PowerOfTwoMask32 MakePowerOfTwoMask32() {
+ return MakePowerOfTwoMask<uint32_t, Mask>();
+}
+
+template <uint32_t Value>
+constexpr PowerOfTwo32 MakePowerOfTwo32() {
+ return MakePowerOfTwo<uint32_t, Value>();
+}
+
+template <uint64_t Mask>
+constexpr PowerOfTwoMask64 MakePowerOfTwoMask64() {
+ return MakePowerOfTwoMask<uint64_t, Mask>();
+}
+
+template <uint64_t Value>
+constexpr PowerOfTwo64 MakePowerOfTwo64() {
+ return MakePowerOfTwo<uint64_t, Value>();
+}
+
+} // namespace mozilla
+
+#endif // PowerOfTwo_h