// Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. // // Copyright 2005-2010 Google, Inc. // Author: Jeffrey Soresnen (sorenj@google.com) #include #include #include #include namespace fst { // These two internal classes implemented inverted views of the // primary and secondary indexes. That is, they provide iterators // that have operator*'s that return the number zeros rather than // the number of ones. class primary_index_inverted : public vector::const_iterator { public: primary_index_inverted() {} primary_index_inverted(vector::const_iterator loc, vector::const_iterator begin) : vector::const_iterator(loc), begin_(begin) {} uint32 operator*() { return BitmapIndex::kStorageBitSize * BitmapIndex::kSecondaryBlockSize * (1 + std::distance::const_iterator>(begin_, *this)) - vector::const_iterator::operator*(); } private: vector::const_iterator begin_; }; class secondary_index_inverted : public vector::const_iterator { public: secondary_index_inverted() : vector::const_iterator() {} secondary_index_inverted(vector::const_iterator loc, vector::const_iterator block_begin) : vector::const_iterator(loc), block_begin_(block_begin) {} uint16 operator*() { return ((1 + std::distance::const_iterator>( block_begin_, *this)) << BitmapIndex::kStorageLogBitSize) - vector::const_iterator::operator*(); } private: vector::const_iterator block_begin_; }; size_t BitmapIndex::Rank1(size_t end) const { if (end == 0) return 0; CHECK_LE(end, Bits()); const uint32 end_word = (end - 1) >> BitmapIndex::kStorageLogBitSize; const uint32 sum = get_index_ones_count(end_word); const uint64 zero = 0; const uint64 ones = ~zero; return sum + __builtin_popcountll(bits_[end_word] & (ones >> (kStorageBitSize - (end & kStorageBlockMask)))); } size_t BitmapIndex::Select1(size_t bit_index) const { if (bit_index >= GetOnesCount()) return Bits(); // search primary index for the relevant block uint32 rembits = bit_index + 1; const uint32 block = find_primary_block(bit_index + 1); uint32 offset = 0; if (block > 0) { rembits -= primary_index_[block - 1]; offset += block * kSecondaryBlockSize; } // search the secondary index uint32 word = find_secondary_block(offset, rembits); if (word > 0) { rembits -= secondary_index_[offset + word - 1]; offset += word; } int nth = nth_bit(bits_[offset], rembits); return (offset << BitmapIndex::kStorageLogBitSize) + nth; } size_t BitmapIndex::Select0(size_t bit_index) const { if (bit_index >= Bits() - GetOnesCount()) return Bits(); // search inverted primary index for relevant block uint32 remzeros = bit_index + 1; uint32 offset = 0; const uint32 block = find_inverted_primary_block(bit_index + 1); if (block > 0) { remzeros -= *primary_index_inverted(primary_index_.begin() + block - 1, primary_index_.begin()); offset += block * kSecondaryBlockSize; } // search the inverted secondary index uint32 word = find_inverted_secondary_block(offset, remzeros); if (word > 0) { vector::const_iterator block_begin = secondary_index_.begin() + offset; remzeros -= *secondary_index_inverted(block_begin + word - 1, block_begin); offset += word; } int nth = nth_bit(~bits_[offset], remzeros); return (offset << BitmapIndex::kStorageLogBitSize) + nth; } size_t BitmapIndex::get_index_ones_count(size_t array_index) const { uint32 sum = 0; if (array_index > 0) { sum += secondary_index_[array_index-1]; uint32 end_block = (array_index - 1) / kSecondaryBlockSize; if (end_block > 0) sum += primary_index_[end_block-1]; } return sum; } void BitmapIndex::BuildIndex(const uint64 *bits, size_t size) { bits_ = bits; size_ = size; secondary_index_.clear(); secondary_index_.reserve(ArraySize()); primary_index_.clear(); primary_index_.reserve(primary_index_size()); const uint64 zero = 0; const uint64 ones = ~zero; uint32 popcount = 0; for (uint32 block_begin = 0; block_begin < ArraySize(); block_begin += kSecondaryBlockSize) { uint32 block_popcount = 0; uint32 block_end = block_begin + kSecondaryBlockSize; if (block_end > ArraySize()) block_end = ArraySize(); for (uint32 j = block_begin; j < block_end; ++j) { uint64 mask = ones; if (j == ArraySize() - 1) { mask = ones >> (-size_ & BitmapIndex::kStorageBlockMask); } block_popcount += __builtin_popcountll(bits_[j] & mask); secondary_index_.push_back(block_popcount); } popcount += block_popcount; primary_index_.push_back(popcount); } } size_t BitmapIndex::find_secondary_block( size_t block_begin, size_t rem_bit_index) const { size_t block_end = block_begin + kSecondaryBlockSize; if (block_end > secondary_index_.size()) block_end = secondary_index_.size(); return std::distance(secondary_index_.begin() + block_begin, std::lower_bound(secondary_index_.begin() + block_begin, secondary_index_.begin() + block_end, rem_bit_index)); } size_t BitmapIndex::find_inverted_secondary_block( size_t block_begin, size_t rem_bit_index) const { size_t block_end = block_begin + kSecondaryBlockSize; if (block_end > secondary_index_.size()) block_end = secondary_index_.size(); secondary_index_inverted start(secondary_index_.begin() + block_begin, secondary_index_.begin() + block_begin); secondary_index_inverted end(secondary_index_.begin() + block_end, secondary_index_.begin() + block_begin); return std::distance(start, std::lower_bound(start, end, rem_bit_index)); } inline size_t BitmapIndex::find_primary_block(size_t bit_index) const { return std::distance(primary_index_.begin(), std::lower_bound(primary_index_.begin(), primary_index_.end(), bit_index)); } size_t BitmapIndex::find_inverted_primary_block(size_t bit_index) const { primary_index_inverted start(primary_index_.begin(), primary_index_.begin()); primary_index_inverted end(primary_index_.end(), primary_index_.begin()); return std::distance(start, std::lower_bound(start, end, bit_index)); } } // end namespace fst