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Diffstat (limited to 'mfbt/BinarySearch.h')
-rw-r--r-- | mfbt/BinarySearch.h | 249 |
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diff --git a/mfbt/BinarySearch.h b/mfbt/BinarySearch.h new file mode 100644 index 0000000000..e5de93a259 --- /dev/null +++ b/mfbt/BinarySearch.h @@ -0,0 +1,249 @@ +/* -*- Mode: C++; tab-width: 8; 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/. */ + +#ifndef mozilla_BinarySearch_h +#define mozilla_BinarySearch_h + +#include "mozilla/Assertions.h" +#include "mozilla/CompactPair.h" + +#include <stddef.h> + +namespace mozilla { + +/* + * The BinarySearch() algorithm searches the given container |aContainer| over + * the sorted index range [aBegin, aEnd) for an index |i| where + * |aContainer[i] == aTarget|. + * If such an index |i| is found, BinarySearch returns |true| and the index is + * returned via the outparam |aMatchOrInsertionPoint|. If no index is found, + * BinarySearch returns |false| and the outparam returns the first index in + * [aBegin, aEnd] where |aTarget| can be inserted to maintain sorted order. + * + * Example: + * + * Vector<int> sortedInts = ... + * + * size_t match; + * if (BinarySearch(sortedInts, 0, sortedInts.length(), 13, &match)) { + * printf("found 13 at %lu\n", match); + * } + * + * The BinarySearchIf() version behaves similarly, but takes |aComparator|, a + * functor to compare the values with, instead of a value to find. + * That functor should take one argument - the value to compare - and return an + * |int| with the comparison result: + * + * * 0, if the argument is equal to, + * * less than 0, if the argument is greater than, + * * greater than 0, if the argument is less than + * + * the value. + * + * Example: + * + * struct Comparator { + * int operator()(int aVal) const { + * if (mTarget < aVal) { return -1; } + * if (mTarget > aVal) { return 1; } + * return 0; + * } + * explicit Comparator(int aTarget) : mTarget(aTarget) {} + * const int mTarget; + * }; + * + * Vector<int> sortedInts = ... + * + * size_t match; + * if (BinarySearchIf(sortedInts, 0, sortedInts.length(), Comparator(13), + * &match)) { printf("found 13 at %lu\n", match); + * } + * + */ + +template <typename Container, typename Comparator> +bool BinarySearchIf(const Container& aContainer, size_t aBegin, size_t aEnd, + const Comparator& aCompare, + size_t* aMatchOrInsertionPoint) { + MOZ_ASSERT(aBegin <= aEnd); + + size_t low = aBegin; + size_t high = aEnd; + while (high != low) { + size_t middle = low + (high - low) / 2; + + // Allow any intermediate type so long as it provides a suitable ordering + // relation. + const int result = aCompare(aContainer[middle]); + + if (result == 0) { + *aMatchOrInsertionPoint = middle; + return true; + } + + if (result < 0) { + high = middle; + } else { + low = middle + 1; + } + } + + *aMatchOrInsertionPoint = low; + return false; +} + +namespace detail { + +template <class T> +class BinarySearchDefaultComparator { + public: + explicit BinarySearchDefaultComparator(const T& aTarget) : mTarget(aTarget) {} + + template <class U> + int operator()(const U& aVal) const { + if (mTarget == aVal) { + return 0; + } + + if (mTarget < aVal) { + return -1; + } + + return 1; + } + + private: + const T& mTarget; +}; + +} // namespace detail + +template <typename Container, typename T> +bool BinarySearch(const Container& aContainer, size_t aBegin, size_t aEnd, + T aTarget, size_t* aMatchOrInsertionPoint) { + return BinarySearchIf(aContainer, aBegin, aEnd, + detail::BinarySearchDefaultComparator<T>(aTarget), + aMatchOrInsertionPoint); +} + +/* + * LowerBound(), UpperBound(), and EqualRange() are equivalent to + * std::lower_bound(), std::upper_bound(), and std::equal_range() respectively. + * + * LowerBound() returns an index pointing to the first element in the range + * in which each element is considered *not less than* the given value passed + * via |aCompare|, or the length of |aContainer| if no such element is found. + * + * UpperBound() returns an index pointing to the first element in the range + * in which each element is considered *greater than* the given value passed + * via |aCompare|, or the length of |aContainer| if no such element is found. + * + * EqualRange() returns a range [first, second) containing all elements are + * considered equivalent to the given value via |aCompare|. If you need + * either the first or last index of the range, LowerBound() or UpperBound(), + * which is slightly faster than EqualRange(), should suffice. + * + * Example (another example is given in TestBinarySearch.cpp): + * + * Vector<const char*> sortedStrings = ... + * + * struct Comparator { + * const nsACString& mStr; + * explicit Comparator(const nsACString& aStr) : mStr(aStr) {} + * int32_t operator()(const char* aVal) const { + * return Compare(mStr, nsDependentCString(aVal)); + * } + * }; + * + * auto bounds = EqualRange(sortedStrings, 0, sortedStrings.length(), + * Comparator("needle I'm looking for"_ns)); + * printf("Found the range [%zd %zd)\n", bounds.first(), bounds.second()); + * + */ +template <typename Container, typename Comparator> +size_t LowerBound(const Container& aContainer, size_t aBegin, size_t aEnd, + const Comparator& aCompare) { + MOZ_ASSERT(aBegin <= aEnd); + + size_t low = aBegin; + size_t high = aEnd; + while (high != low) { + size_t middle = low + (high - low) / 2; + + // Allow any intermediate type so long as it provides a suitable ordering + // relation. + const int result = aCompare(aContainer[middle]); + + // The range returning from LowerBound does include elements + // equivalent to the given value i.e. aCompare(element) == 0 + if (result <= 0) { + high = middle; + } else { + low = middle + 1; + } + } + + return low; +} + +template <typename Container, typename Comparator> +size_t UpperBound(const Container& aContainer, size_t aBegin, size_t aEnd, + const Comparator& aCompare) { + MOZ_ASSERT(aBegin <= aEnd); + + size_t low = aBegin; + size_t high = aEnd; + while (high != low) { + size_t middle = low + (high - low) / 2; + + // Allow any intermediate type so long as it provides a suitable ordering + // relation. + const int result = aCompare(aContainer[middle]); + + // The range returning from UpperBound does NOT include elements + // equivalent to the given value i.e. aCompare(element) == 0 + if (result < 0) { + high = middle; + } else { + low = middle + 1; + } + } + + return high; +} + +template <typename Container, typename Comparator> +CompactPair<size_t, size_t> EqualRange(const Container& aContainer, + size_t aBegin, size_t aEnd, + const Comparator& aCompare) { + MOZ_ASSERT(aBegin <= aEnd); + + size_t low = aBegin; + size_t high = aEnd; + while (high != low) { + size_t middle = low + (high - low) / 2; + + // Allow any intermediate type so long as it provides a suitable ordering + // relation. + const int result = aCompare(aContainer[middle]); + + if (result < 0) { + high = middle; + } else if (result > 0) { + low = middle + 1; + } else { + return MakeCompactPair( + LowerBound(aContainer, low, middle, aCompare), + UpperBound(aContainer, middle + 1, high, aCompare)); + } + } + + return MakeCompactPair(low, high); +} + +} // namespace mozilla + +#endif // mozilla_BinarySearch_h |