842 lines
26 KiB
C
842 lines
26 KiB
C
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/*
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* Copyright (c) Facebook, Inc. and its affiliates.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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/**
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* @author Philip Pronin (philipp@fb.com)
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*
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* Based on the paper by Sebastiano Vigna,
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* "Quasi-succinct indices" (arxiv:1206.4300).
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*/
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#pragma once
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#include <algorithm>
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#include <cstdlib>
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#include <limits>
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#include <type_traits>
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#include <folly/Likely.h>
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#include <folly/Portability.h>
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#include <folly/Range.h>
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#include <folly/experimental/CodingDetail.h>
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#include <folly/experimental/Instructions.h>
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#include <folly/experimental/Select64.h>
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#include <folly/lang/Assume.h>
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#include <folly/lang/Bits.h>
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#include <glog/logging.h>
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#if !FOLLY_X64
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#error EliasFanoCoding.h requires x86_64
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#endif
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namespace folly {
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namespace compression {
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static_assert(kIsLittleEndian, "EliasFanoCoding.h requires little endianness");
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constexpr size_t kCacheLineSize = 64;
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template <class Pointer>
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struct EliasFanoCompressedListBase {
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EliasFanoCompressedListBase() = default;
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template <class OtherPointer>
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EliasFanoCompressedListBase(
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const EliasFanoCompressedListBase<OtherPointer>& other)
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: size(other.size),
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numLowerBits(other.numLowerBits),
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upperSizeBytes(other.upperSizeBytes),
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data(other.data),
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skipPointers(reinterpret_cast<Pointer>(other.skipPointers)),
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forwardPointers(reinterpret_cast<Pointer>(other.forwardPointers)),
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lower(reinterpret_cast<Pointer>(other.lower)),
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upper(reinterpret_cast<Pointer>(other.upper)) {}
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template <class T = Pointer>
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auto free() -> decltype(::free(T(nullptr))) {
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return ::free(data.data());
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}
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size_t size = 0;
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uint8_t numLowerBits = 0;
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size_t upperSizeBytes = 0;
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// WARNING: EliasFanoCompressedList has no ownership of data. The 7 bytes
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// following the last byte should be readable if kUpperFirst = false, 8 bytes
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// otherwise.
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folly::Range<Pointer> data;
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Pointer skipPointers = nullptr;
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Pointer forwardPointers = nullptr;
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Pointer lower = nullptr;
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Pointer upper = nullptr;
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};
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typedef EliasFanoCompressedListBase<const uint8_t*> EliasFanoCompressedList;
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typedef EliasFanoCompressedListBase<uint8_t*> MutableEliasFanoCompressedList;
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template <
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class Value,
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// SkipValue must be wide enough to be able to represent the list length.
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class SkipValue = uint64_t,
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size_t kSkipQuantum = 0, // 0 = disabled
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size_t kForwardQuantum = 0, // 0 = disabled
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bool kUpperFirst = false>
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struct EliasFanoEncoderV2 {
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static_assert(
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std::is_integral<Value>::value && std::is_unsigned<Value>::value,
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"Value should be unsigned integral");
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typedef EliasFanoCompressedList CompressedList;
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typedef MutableEliasFanoCompressedList MutableCompressedList;
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typedef Value ValueType;
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typedef SkipValue SkipValueType;
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struct Layout;
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static constexpr size_t skipQuantum = kSkipQuantum;
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static constexpr size_t forwardQuantum = kForwardQuantum;
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static uint8_t defaultNumLowerBits(size_t upperBound, size_t size) {
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if (UNLIKELY(size == 0 || upperBound < size)) {
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return 0;
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}
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// Result that should be returned is "floor(log(upperBound / size))".
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// In order to avoid expensive division, we rely on
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// "floor(a) - floor(b) - 1 <= floor(a - b) <= floor(a) - floor(b)".
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// Assuming "candidate = floor(log(upperBound)) - floor(log(upperBound))",
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// then result is either "candidate - 1" or "candidate".
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auto candidate = folly::findLastSet(upperBound) - folly::findLastSet(size);
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// NOTE: As size != 0, "candidate" is always < 64.
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return (size > (upperBound >> candidate)) ? candidate - 1 : candidate;
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}
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// Requires: input range (begin, end) is sorted (encoding
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// crashes if it's not).
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// WARNING: encode() mallocates EliasFanoCompressedList::data. As
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// EliasFanoCompressedList has no ownership of it, you need to call
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// free() explicitly.
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template <class RandomAccessIterator>
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static MutableCompressedList encode(
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RandomAccessIterator begin,
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RandomAccessIterator end) {
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if (begin == end) {
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return MutableCompressedList();
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}
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EliasFanoEncoderV2 encoder(size_t(end - begin), *(end - 1));
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for (; begin != end; ++begin) {
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encoder.add(*begin);
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}
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return encoder.finish();
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}
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explicit EliasFanoEncoderV2(const MutableCompressedList& result)
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: lower_(result.lower),
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upper_(result.upper),
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skipPointers_(reinterpret_cast<SkipValueType*>(result.skipPointers)),
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forwardPointers_(
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reinterpret_cast<SkipValueType*>(result.forwardPointers)),
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result_(result) {
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std::fill(result.data.begin(), result.data.end(), '\0');
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}
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EliasFanoEncoderV2(size_t size, ValueType upperBound)
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: EliasFanoEncoderV2(
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Layout::fromUpperBoundAndSize(upperBound, size).allocList()) {}
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void add(ValueType value) {
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CHECK_LT(value, std::numeric_limits<ValueType>::max());
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CHECK_GE(value, lastValue_);
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const auto numLowerBits = result_.numLowerBits;
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const ValueType upperBits = value >> numLowerBits;
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// Upper sequence consists of upperBits 0-bits and (size_ + 1) 1-bits.
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const size_t pos = upperBits + size_;
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upper_[pos / 8] |= 1U << (pos % 8);
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// Append numLowerBits bits to lower sequence.
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if (numLowerBits != 0) {
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const ValueType lowerBits = value & ((ValueType(1) << numLowerBits) - 1);
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writeBits56(lower_, size_ * numLowerBits, numLowerBits, lowerBits);
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}
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fillSkipPointersUpTo(upperBits);
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if /* constexpr */ (forwardQuantum != 0) {
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if ((size_ + 1) % forwardQuantum == 0) {
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const auto k = size_ / forwardQuantum;
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// Store the number of preceding 0-bits.
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forwardPointers_[k] = upperBits;
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}
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}
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lastValue_ = value;
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++size_;
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}
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const MutableCompressedList& finish() {
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CHECK_EQ(size_, result_.size);
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const ValueType upperBitsUniverse =
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(8 * result_.upperSizeBytes - result_.size);
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if (upperBitsUniverse > 0) {
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// Populate skip pointers up to the universe upper bound.
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fillSkipPointersUpTo(upperBitsUniverse - 1);
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}
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return result_;
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}
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private:
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void fillSkipPointersUpTo(ValueType fillBoundary) {
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if /* constexpr */ (skipQuantum != 0) {
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while ((skipPointersSize_ + 1) * skipQuantum <= fillBoundary) {
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// Store the number of preceding 1-bits.
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skipPointers_[skipPointersSize_++] = static_cast<SkipValueType>(size_);
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}
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}
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}
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// Writes value (with len up to 56 bits) to data starting at pos-th bit.
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static void
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writeBits56(unsigned char* data, size_t pos, uint8_t len, uint64_t value) {
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DCHECK_LE(uint32_t(len), 56);
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DCHECK_EQ(0, value & ~((uint64_t(1) << len) - 1));
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unsigned char* const ptr = data + (pos / 8);
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uint64_t ptrv = folly::loadUnaligned<uint64_t>(ptr);
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ptrv |= value << (pos % 8);
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folly::storeUnaligned<uint64_t>(ptr, ptrv);
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}
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unsigned char* lower_ = nullptr;
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unsigned char* upper_ = nullptr;
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SkipValueType* skipPointers_ = nullptr;
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SkipValueType* forwardPointers_ = nullptr;
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ValueType lastValue_ = 0;
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size_t size_ = 0;
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size_t skipPointersSize_ = 0;
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MutableCompressedList result_;
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};
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template <
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class Value,
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class SkipValue,
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size_t kSkipQuantum,
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size_t kForwardQuantum,
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bool kUpperFirst>
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struct EliasFanoEncoderV2<
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Value,
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SkipValue,
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kSkipQuantum,
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kForwardQuantum,
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kUpperFirst>::Layout {
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static Layout fromUpperBoundAndSize(size_t upperBound, size_t size) {
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// numLowerBits can be at most 56 because of detail::writeBits56.
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const uint8_t numLowerBits =
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std::min(defaultNumLowerBits(upperBound, size), uint8_t(56));
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// *** Upper bits.
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// Upper bits are stored using unary delta encoding.
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// For example, (3 5 5 9) will be encoded as 1000011001000_2.
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const size_t upperSizeBits =
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(upperBound >> numLowerBits) + // Number of 0-bits to be stored.
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size; // 1-bits.
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const size_t upper = (upperSizeBits + 7) / 8;
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// *** Validity checks.
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// Shift by numLowerBits must be valid.
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CHECK_LT(numLowerBits, 8 * sizeof(Value));
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CHECK_LT(size, std::numeric_limits<SkipValueType>::max());
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CHECK_LT(
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upperBound >> numLowerBits, std::numeric_limits<SkipValueType>::max());
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return fromInternalSizes(numLowerBits, upper, size);
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}
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static Layout
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fromInternalSizes(uint8_t numLowerBits, size_t upper, size_t size) {
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Layout layout;
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layout.size = size;
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layout.numLowerBits = numLowerBits;
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layout.lower = (numLowerBits * size + 7) / 8;
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layout.upper = upper;
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// *** Skip pointers.
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// Store (1-indexed) position of every skipQuantum-th
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// 0-bit in upper bits sequence.
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if /* constexpr */ (skipQuantum != 0) {
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// 8 * upper is used here instead of upperSizeBits, as that is
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// more serialization-friendly way (upperSizeBits doesn't need
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// to be known by this function, unlike upper).
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size_t numSkipPointers = (8 * upper - size) / skipQuantum;
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layout.skipPointers = numSkipPointers * sizeof(SkipValueType);
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}
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// *** Forward pointers.
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// Store (1-indexed) position of every forwardQuantum-th
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// 1-bit in upper bits sequence.
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if /* constexpr */ (forwardQuantum != 0) {
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size_t numForwardPointers = size / forwardQuantum;
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layout.forwardPointers = numForwardPointers * sizeof(SkipValueType);
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}
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return layout;
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}
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size_t bytes() const {
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return lower + upper + skipPointers + forwardPointers;
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}
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template <class Range>
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EliasFanoCompressedListBase<typename Range::iterator> openList(
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Range& buf) const {
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EliasFanoCompressedListBase<typename Range::iterator> result;
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result.size = size;
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result.numLowerBits = numLowerBits;
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result.upperSizeBytes = upper;
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result.data = buf.subpiece(0, bytes());
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auto advance = [&](size_t n) {
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auto begin = buf.data();
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buf.advance(n);
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return begin;
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};
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result.skipPointers = advance(skipPointers);
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result.forwardPointers = advance(forwardPointers);
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if /* constexpr */ (kUpperFirst) {
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result.upper = advance(upper);
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result.lower = advance(lower);
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} else {
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result.lower = advance(lower);
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result.upper = advance(upper);
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}
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return result;
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}
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MutableCompressedList allocList() const {
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uint8_t* buf = nullptr;
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// WARNING: Current read/write logic assumes that the 7 bytes
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// following the upper bytes and the 8 bytes following the lower bytes
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// sequences are readable (stored value doesn't matter and won't be
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// changed), so we allocate additional 8 bytes, but do not include them in
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// size of returned value.
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if (size > 0) {
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buf = static_cast<uint8_t*>(malloc(bytes() + 8));
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}
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folly::MutableByteRange bufRange(buf, bytes());
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return openList(bufRange);
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}
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size_t size = 0;
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uint8_t numLowerBits = 0;
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// Sizes in bytes.
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size_t lower = 0;
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size_t upper = 0;
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size_t skipPointers = 0;
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size_t forwardPointers = 0;
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};
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namespace detail {
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template <class Encoder, class Instructions, class SizeType>
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class UpperBitsReader : ForwardPointers<Encoder::forwardQuantum>,
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SkipPointers<Encoder::skipQuantum> {
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typedef typename Encoder::SkipValueType SkipValueType;
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public:
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typedef typename Encoder::ValueType ValueType;
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explicit UpperBitsReader(const typename Encoder::CompressedList& list)
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: ForwardPointers<Encoder::forwardQuantum>(list.forwardPointers),
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SkipPointers<Encoder::skipQuantum>(list.skipPointers),
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start_(list.upper) {
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reset();
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}
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void reset() {
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// Pretend the bitvector is prefixed by a block of zeroes.
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block_ = 0;
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position_ = static_cast<SizeType>(-1);
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outer_ = static_cast<OuterType>(-sizeof(block_t));
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value_ = 0;
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}
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SizeType position() const {
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return position_;
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}
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ValueType value() const {
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return value_;
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}
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ValueType previous() {
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size_t inner;
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block_t block;
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getPreviousInfo(block, inner, outer_);
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block_ = folly::loadUnaligned<block_t>(start_ + outer_);
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block_ ^= block;
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--position_;
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return setValue(inner);
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}
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ValueType next() {
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// Skip to the first non-zero block.
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while (block_ == 0) {
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outer_ += sizeof(block_t);
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block_ = folly::loadUnaligned<block_t>(start_ + outer_);
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}
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++position_;
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size_t inner = Instructions::ctz(block_);
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block_ = Instructions::blsr(block_);
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return setValue(inner);
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}
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ValueType skip(SizeType n) {
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DCHECK_GT(n, 0);
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position_ += n; // n 1-bits will be read.
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// Use forward pointer.
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if (Encoder::forwardQuantum > 0 && n > Encoder::forwardQuantum) {
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const size_t steps = position_ / Encoder::forwardQuantum;
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const size_t dest = folly::loadUnaligned<SkipValueType>(
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this->forwardPointers_ + (steps - 1) * sizeof(SkipValueType));
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reposition(dest + steps * Encoder::forwardQuantum);
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n = position_ + 1 - steps * Encoder::forwardQuantum; // n is > 0.
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}
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size_t cnt;
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// Find necessary block.
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while ((cnt = Instructions::popcount(block_)) < n) {
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n -= cnt;
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outer_ += sizeof(block_t);
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block_ = folly::loadUnaligned<block_t>(start_ + outer_);
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}
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|
// Skip to the n-th one in the block.
|
||
|
DCHECK_GT(n, 0);
|
||
|
size_t inner = select64<Instructions>(block_, n - 1);
|
||
|
block_ &= (block_t(-1) << inner) << 1;
|
||
|
|
||
|
return setValue(inner);
|
||
|
}
|
||
|
|
||
|
// Skip to the first element that is >= v and located *after* the current
|
||
|
// one (so even if current value equals v, position will be increased by 1).
|
||
|
ValueType skipToNext(ValueType v) {
|
||
|
DCHECK_GE(v, value_);
|
||
|
|
||
|
// Use skip pointer.
|
||
|
if (Encoder::skipQuantum > 0 && v >= value_ + Encoder::skipQuantum) {
|
||
|
const size_t steps = v / Encoder::skipQuantum;
|
||
|
const size_t dest = folly::loadUnaligned<SkipValueType>(
|
||
|
this->skipPointers_ + (steps - 1) * sizeof(SkipValueType));
|
||
|
|
||
|
reposition(dest + Encoder::skipQuantum * steps);
|
||
|
position_ = dest - 1;
|
||
|
|
||
|
// Correct value_ will be set during the next() call at the end.
|
||
|
|
||
|
// NOTE: Corresponding block of lower bits sequence may be
|
||
|
// prefetched here (via __builtin_prefetch), but experiments
|
||
|
// didn't show any significant improvements.
|
||
|
}
|
||
|
|
||
|
// Skip by blocks.
|
||
|
size_t cnt;
|
||
|
size_t skip = v - (8 * outer_ - position_ - 1);
|
||
|
|
||
|
constexpr size_t kBitsPerBlock = 8 * sizeof(block_t);
|
||
|
while ((cnt = Instructions::popcount(~block_)) < skip) {
|
||
|
skip -= cnt;
|
||
|
position_ += kBitsPerBlock - cnt;
|
||
|
outer_ += sizeof(block_t);
|
||
|
block_ = folly::loadUnaligned<block_t>(start_ + outer_);
|
||
|
}
|
||
|
|
||
|
if (LIKELY(skip)) {
|
||
|
auto inner = select64<Instructions>(~block_, skip - 1);
|
||
|
position_ += inner - skip + 1;
|
||
|
block_ &= block_t(-1) << inner;
|
||
|
}
|
||
|
|
||
|
next();
|
||
|
return value_;
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Prepare to skip to `value`. This is a constant-time operation that will
|
||
|
* prefetch memory required for a `skipTo(value)` call.
|
||
|
*
|
||
|
* @return position of reader
|
||
|
*/
|
||
|
SizeType prepareSkipTo(ValueType v) const {
|
||
|
auto position = position_;
|
||
|
|
||
|
if (Encoder::skipQuantum > 0 && v >= value_ + Encoder::skipQuantum) {
|
||
|
auto outer = outer_;
|
||
|
const size_t steps = v / Encoder::skipQuantum;
|
||
|
const size_t dest = folly::loadUnaligned<SkipValueType>(
|
||
|
this->skipPointers_ + (steps - 1) * sizeof(SkipValueType));
|
||
|
|
||
|
position = dest - 1;
|
||
|
outer = (dest + Encoder::skipQuantum * steps) / 8;
|
||
|
|
||
|
// Prefetch up to the beginning of where we linear search. After that,
|
||
|
// hardware prefetching will outperform our own. In addition, this
|
||
|
// simplifies calculating what to prefetch as we don't have to calculate
|
||
|
// the entire destination address. Two cache lines are prefetched because
|
||
|
// this results in fewer cycles used (based on practical results) than
|
||
|
// one. However, three cache lines does not have any additional effect.
|
||
|
const auto addr = start_ + outer;
|
||
|
__builtin_prefetch(addr);
|
||
|
__builtin_prefetch(addr + kCacheLineSize);
|
||
|
}
|
||
|
|
||
|
return position;
|
||
|
}
|
||
|
|
||
|
ValueType previousValue() const {
|
||
|
block_t block;
|
||
|
size_t inner;
|
||
|
OuterType outer;
|
||
|
getPreviousInfo(block, inner, outer);
|
||
|
return static_cast<ValueType>(8 * outer + inner - (position_ - 1));
|
||
|
}
|
||
|
|
||
|
// Returns true if we're at the beginning of the list, or previousValue() !=
|
||
|
// value().
|
||
|
bool isAtBeginningOfRun() const {
|
||
|
DCHECK_NE(position(), static_cast<SizeType>(-1));
|
||
|
if (position_ == 0) {
|
||
|
return true;
|
||
|
}
|
||
|
size_t bitPos = size_t(value_) + position_ - 1;
|
||
|
return (start_[bitPos / 8] & (1 << (bitPos % 8))) == 0;
|
||
|
}
|
||
|
|
||
|
void setDone(SizeType endPos) {
|
||
|
position_ = endPos;
|
||
|
}
|
||
|
|
||
|
private:
|
||
|
ValueType setValue(size_t inner) {
|
||
|
value_ = static_cast<ValueType>(8 * outer_ + inner - position_);
|
||
|
return value_;
|
||
|
}
|
||
|
|
||
|
void reposition(SizeType dest) {
|
||
|
outer_ = dest / 8;
|
||
|
block_ = folly::loadUnaligned<block_t>(start_ + outer_);
|
||
|
block_ &= ~((block_t(1) << (dest % 8)) - 1);
|
||
|
}
|
||
|
|
||
|
using block_t = uint64_t;
|
||
|
// The size in bytes of the upper bits is limited by n + universe / 8,
|
||
|
// so a type that can hold either sizes or values is sufficient.
|
||
|
using OuterType = typename std::common_type<ValueType, SizeType>::type;
|
||
|
|
||
|
void getPreviousInfo(block_t& block, size_t& inner, OuterType& outer) const {
|
||
|
DCHECK_NE(position(), std::numeric_limits<SizeType>::max());
|
||
|
DCHECK_GT(position(), 0);
|
||
|
|
||
|
outer = outer_;
|
||
|
block = folly::loadUnaligned<block_t>(start_ + outer);
|
||
|
inner = size_t(value_) - 8 * outer_ + position_;
|
||
|
block &= (block_t(1) << inner) - 1;
|
||
|
while (UNLIKELY(block == 0)) {
|
||
|
DCHECK_GT(outer, 0);
|
||
|
outer -= std::min<OuterType>(sizeof(block_t), outer);
|
||
|
block = folly::loadUnaligned<block_t>(start_ + outer);
|
||
|
}
|
||
|
inner = 8 * sizeof(block_t) - 1 - Instructions::clz(block);
|
||
|
}
|
||
|
|
||
|
const unsigned char* const start_;
|
||
|
block_t block_;
|
||
|
SizeType position_; // Index of current value (= #reads - 1).
|
||
|
OuterType outer_; // Outer offset: number of consumed bytes in upper.
|
||
|
ValueType value_;
|
||
|
};
|
||
|
|
||
|
} // namespace detail
|
||
|
|
||
|
// If kUnchecked = true the caller must guarantee that all the operations return
|
||
|
// valid elements, i.e., they would never return false if checked.
|
||
|
//
|
||
|
// If the list length is known to be representable with a type narrower than the
|
||
|
// SkipValueType used in the format, the reader footprint can be reduced by
|
||
|
// passing the type as SizeType.
|
||
|
template <
|
||
|
class Encoder,
|
||
|
class Instructions = instructions::Default,
|
||
|
bool kUnchecked = false,
|
||
|
class SizeType = typename Encoder::SkipValueType>
|
||
|
class EliasFanoReader {
|
||
|
public:
|
||
|
typedef Encoder EncoderType;
|
||
|
typedef typename Encoder::ValueType ValueType;
|
||
|
|
||
|
explicit EliasFanoReader(const typename Encoder::CompressedList& list)
|
||
|
: upper_(list),
|
||
|
lower_(list.lower),
|
||
|
size_(list.size),
|
||
|
numLowerBits_(list.numLowerBits) {
|
||
|
DCHECK(Instructions::supported());
|
||
|
// To avoid extra branching during skipTo() while reading
|
||
|
// upper sequence we need to know the last element.
|
||
|
// If kUnchecked == true, we do not check that skipTo() is called
|
||
|
// within the bounds, so we can avoid initializing lastValue_.
|
||
|
if (kUnchecked || UNLIKELY(list.size == 0)) {
|
||
|
lastValue_ = 0;
|
||
|
return;
|
||
|
}
|
||
|
ValueType lastUpperValue = ValueType(8 * list.upperSizeBytes - size_);
|
||
|
auto it = list.upper + list.upperSizeBytes - 1;
|
||
|
DCHECK_NE(*it, 0);
|
||
|
lastUpperValue -= 8 - folly::findLastSet(*it);
|
||
|
lastValue_ = readLowerPart(size_ - 1) | (lastUpperValue << numLowerBits_);
|
||
|
}
|
||
|
|
||
|
void reset() {
|
||
|
upper_.reset();
|
||
|
value_ = kInvalidValue;
|
||
|
}
|
||
|
|
||
|
bool previous() {
|
||
|
if (!kUnchecked && UNLIKELY(position() == 0)) {
|
||
|
reset();
|
||
|
return false;
|
||
|
}
|
||
|
upper_.previous();
|
||
|
value_ =
|
||
|
readLowerPart(upper_.position()) | (upper_.value() << numLowerBits_);
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
bool next() {
|
||
|
if (!kUnchecked && UNLIKELY(position() + 1 >= size_)) {
|
||
|
return setDone();
|
||
|
}
|
||
|
upper_.next();
|
||
|
value_ =
|
||
|
readLowerPart(upper_.position()) | (upper_.value() << numLowerBits_);
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Advances by n elements. n = 0 is allowed and has no effect. Returns false
|
||
|
* if the end of the list is reached.
|
||
|
*/
|
||
|
bool skip(SizeType n) {
|
||
|
if (n == 0) {
|
||
|
return valid();
|
||
|
}
|
||
|
|
||
|
if (kUnchecked || LIKELY(position() + n < size_)) {
|
||
|
if (LIKELY(n < kLinearScanThreshold)) {
|
||
|
for (SizeType i = 0; i < n; ++i) {
|
||
|
upper_.next();
|
||
|
}
|
||
|
} else {
|
||
|
upper_.skip(n);
|
||
|
}
|
||
|
value_ =
|
||
|
readLowerPart(upper_.position()) | (upper_.value() << numLowerBits_);
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
return setDone();
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Skips to the first element >= value whose position is greater or equal to
|
||
|
* the current position. Requires that value >= value() (or that the reader is
|
||
|
* at position -1). Returns false if no such element exists.
|
||
|
*/
|
||
|
bool skipTo(ValueType value) {
|
||
|
if (value != kInvalidValue) {
|
||
|
DCHECK_GE(value + 1, value_ + 1);
|
||
|
}
|
||
|
|
||
|
if (!kUnchecked && value > lastValue_) {
|
||
|
return setDone();
|
||
|
} else if (value == value_) {
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
ValueType upperValue = (value >> numLowerBits_);
|
||
|
ValueType upperSkip = upperValue - upper_.value();
|
||
|
// The average density of ones in upper bits is 1/2.
|
||
|
// LIKELY here seems to make things worse, even for small skips.
|
||
|
if (upperSkip < 2 * kLinearScanThreshold) {
|
||
|
do {
|
||
|
upper_.next();
|
||
|
} while (UNLIKELY(upper_.value() < upperValue));
|
||
|
} else {
|
||
|
upper_.skipToNext(upperValue);
|
||
|
}
|
||
|
|
||
|
iterateTo(value);
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Prepare to skip to `value` by prefetching appropriate memory in both the
|
||
|
* upper and lower bits.
|
||
|
*/
|
||
|
void prepareSkipTo(ValueType value) const {
|
||
|
// Also works when value_ == kInvalidValue.
|
||
|
if (value != kInvalidValue) {
|
||
|
DCHECK_GE(value + 1, value_ + 1);
|
||
|
}
|
||
|
|
||
|
if ((!kUnchecked && value > lastValue_) || (value == value_)) {
|
||
|
return;
|
||
|
}
|
||
|
|
||
|
// Do minimal computation required to prefetch address used in
|
||
|
// `readLowerPart()`.
|
||
|
ValueType upperValue = (value >> numLowerBits_);
|
||
|
const auto upperPosition = upper_.prepareSkipTo(upperValue);
|
||
|
const auto addr = lower_ + (upperPosition * numLowerBits_ / 8);
|
||
|
__builtin_prefetch(addr);
|
||
|
__builtin_prefetch(addr + kCacheLineSize);
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Jumps to the element at position n. The reader can be in any state. Returns
|
||
|
* false if n >= size().
|
||
|
*/
|
||
|
bool jump(SizeType n) {
|
||
|
if (n + 1 < upper_.position() + 1) { // Also works if position() == -1.
|
||
|
reset();
|
||
|
n += 1; // Initial position is -1.
|
||
|
} else {
|
||
|
n -= upper_.position();
|
||
|
}
|
||
|
return skip(n);
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Jumps to the first element >= value. The reader can be in any
|
||
|
* state. Returns false if no such element exists.
|
||
|
*
|
||
|
* If all the values in the list can be assumed distinct, setting
|
||
|
* assumeDistinct = true can enable some optimizations.
|
||
|
*/
|
||
|
bool jumpTo(ValueType value, bool assumeDistinct = false) {
|
||
|
if (value == value_) {
|
||
|
if (assumeDistinct == true) {
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
// We might be in the middle of a run, iterate backwards to the beginning.
|
||
|
auto valueLower = Instructions::bzhi(value_, numLowerBits_);
|
||
|
while (!upper_.isAtBeginningOfRun() &&
|
||
|
readLowerPart(upper_.position() - 1) == valueLower) {
|
||
|
upper_.previous();
|
||
|
}
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
// We need to reset if we're not in the initial state and the jump is
|
||
|
// backwards.
|
||
|
if (position() != static_cast<SizeType>(-1) &&
|
||
|
value < value_) { // If position() == size() value_ is kInvalidValue.
|
||
|
reset();
|
||
|
}
|
||
|
return skipTo(value);
|
||
|
}
|
||
|
|
||
|
ValueType lastValue() const {
|
||
|
CHECK(!kUnchecked);
|
||
|
return lastValue_;
|
||
|
}
|
||
|
|
||
|
ValueType previousValue() const {
|
||
|
DCHECK_GT(position(), 0);
|
||
|
DCHECK_LT(position(), size());
|
||
|
return readLowerPart(upper_.position() - 1) |
|
||
|
(upper_.previousValue() << numLowerBits_);
|
||
|
}
|
||
|
|
||
|
SizeType size() const {
|
||
|
return size_;
|
||
|
}
|
||
|
|
||
|
bool valid() const {
|
||
|
return position() < size(); // Also checks that position() != -1.
|
||
|
}
|
||
|
|
||
|
SizeType position() const {
|
||
|
return upper_.position();
|
||
|
}
|
||
|
ValueType value() const {
|
||
|
DCHECK(valid());
|
||
|
return value_;
|
||
|
}
|
||
|
|
||
|
private:
|
||
|
// Must hold kInvalidValue + 1 == 0.
|
||
|
constexpr static ValueType kInvalidValue = -1;
|
||
|
|
||
|
bool setDone() {
|
||
|
value_ = kInvalidValue;
|
||
|
upper_.setDone(size_);
|
||
|
return false;
|
||
|
}
|
||
|
|
||
|
ValueType readLowerPart(SizeType i) const {
|
||
|
DCHECK_LT(i, size_);
|
||
|
const size_t pos = i * numLowerBits_;
|
||
|
const unsigned char* ptr = lower_ + (pos / 8);
|
||
|
const uint64_t ptrv = folly::loadUnaligned<uint64_t>(ptr);
|
||
|
// This removes the branch in the fallback implementation of
|
||
|
// bzhi. The condition is verified at encoding time.
|
||
|
assume(numLowerBits_ < sizeof(ValueType) * 8);
|
||
|
return Instructions::bzhi(ptrv >> (pos % 8), numLowerBits_);
|
||
|
}
|
||
|
|
||
|
void iterateTo(ValueType value) {
|
||
|
while (true) {
|
||
|
value_ =
|
||
|
readLowerPart(upper_.position()) | (upper_.value() << numLowerBits_);
|
||
|
if (LIKELY(value_ >= value)) {
|
||
|
break;
|
||
|
}
|
||
|
upper_.next();
|
||
|
}
|
||
|
}
|
||
|
|
||
|
constexpr static size_t kLinearScanThreshold = 8;
|
||
|
|
||
|
detail::UpperBitsReader<Encoder, Instructions, SizeType> upper_;
|
||
|
const uint8_t* lower_;
|
||
|
SizeType size_;
|
||
|
ValueType value_ = kInvalidValue;
|
||
|
ValueType lastValue_;
|
||
|
uint8_t numLowerBits_;
|
||
|
};
|
||
|
|
||
|
} // namespace compression
|
||
|
} // namespace folly
|