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src/util/partitioned_set.h
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266
src/util/partitioned_set.h
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/*
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* Copyright (c) 2015, Intel Corporation
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions are met:
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*
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* * Redistributions of source code must retain the above copyright notice,
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* this list of conditions and the following disclaimer.
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* * Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* * Neither the name of Intel Corporation nor the names of its contributors
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* may be used to endorse or promote products derived from this software
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* without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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* POSSIBILITY OF SUCH DAMAGE.
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*/
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#ifndef PARTITIONED_SET_H
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#define PARTITIONED_SET_H
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#include "container.h"
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#include "ue2_containers.h"
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#include "ue2common.h"
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#include <algorithm>
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#include <vector>
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#include <boost/core/noncopyable.hpp>
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#include <boost/dynamic_bitset.hpp>
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namespace ue2 {
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static constexpr size_t INVALID_SUBSET = ~(size_t)0;
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/**
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* partition_set represents a partitioning of a set of integers [0, n) into
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* disjoint non-empty subsets.
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*
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* The subsets themselves are also indexed by integers.
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*
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* The underlying integer type for the set members is parameterized.
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*/
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template<typename T>
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class partitioned_set : boost::noncopyable {
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public:
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class subset {
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public:
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typedef typename std::vector<T>::const_iterator const_iterator;
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size_t size() const {
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assert(members.size());
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return members.size();
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}
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const_iterator begin() const {
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return members.begin();
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}
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const_iterator end() const {
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return members.end();
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}
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private:
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std::vector<T> members; /**< sorted members of the subset */
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friend class partitioned_set;
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};
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/** returns the number of subsets in the partition */
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size_t size() const { return subsets.size(); }
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/** returns the subset with the given index */
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const subset &operator[](size_t subset_index) const {
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assert(subset_index < size());
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return subsets[subset_index];
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}
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/**
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* Splits the subset with the given subset_index based on whether its
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* members are also members of the splitter set.
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*
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* The smaller of the intersection and difference is placed into a new
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* subset, the index of which is returned. The larger part remains with the
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* subset index.
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*
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* If the set was not split (due to there being no overlap with splitter or
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* being a complete subset), INVALID_SUBSET is returned.
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*/
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size_t split(size_t subset_index,
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const typename ue2::flat_set<T> &splitter) {
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assert(!splitter.empty());
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if (splitter.empty()) {
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return INVALID_SUBSET;
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}
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subset &orig = subsets[subset_index];
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assert(orig.size());
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split_temp_diff.clear();
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split_temp_inter.clear();
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auto sp_it = splitter.begin();
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auto sp_e = splitter.end();
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/* subset members are always in sorted order. */
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assert(std::is_sorted(orig.members.begin(), orig.members.end()));
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if (orig.members.back() < *sp_it) {
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/* first splitter is greater than all our members */
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return INVALID_SUBSET;
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}
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if (orig.members.front() > *splitter.rbegin()) {
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/* last splitter is less than all our members */
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return INVALID_SUBSET;
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}
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for (auto it = orig.members.begin(); it != orig.members.end(); ++it) {
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T member = *it;
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assert(member < member_to_subset.size());
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while (sp_it != sp_e && *sp_it < member) {
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++sp_it;
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}
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if (sp_it == sp_e) {
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split_temp_diff.insert(split_temp_diff.end(), it,
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orig.members.end());
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break;
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}
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if (*sp_it > member) {
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split_temp_diff.push_back(member);
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} else {
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split_temp_inter.push_back(member);
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}
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}
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assert(split_temp_diff.size() + split_temp_inter.size() == orig.size());
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if (split_temp_inter.empty()) {
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assert(split_temp_diff == orig.members);
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return INVALID_SUBSET;
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}
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if (split_temp_diff.empty()) {
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assert(split_temp_inter == orig.members);
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return INVALID_SUBSET;
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}
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assert(MIN(split_temp_inter[0], split_temp_diff[0]) == orig.members[0]);
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/* work out which is the bigger half */
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std::vector<T> *big;
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std::vector<T> *small;
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if (split_temp_diff.size() > split_temp_inter.size()) {
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big = &split_temp_diff;
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small = &split_temp_inter;
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} else {
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big = &split_temp_inter;
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small = &split_temp_diff;
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}
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/* larger subset replaces the input subset */
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std::vector<T> temp_i;
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insert(&temp_i, temp_i.end(), *big);
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orig.members.swap(temp_i);
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/* smaller subset is placed in the new subset */
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size_t new_index = subsets.size();
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subsets.push_back(subset());
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insert(&subsets.back().members, subsets.back().members.end(), *small);
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for (const auto &e : *small) {
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member_to_subset[e] = new_index;
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}
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return new_index;
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}
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/**
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* Returns all subsets which have a member in keys.
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*/
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void find_overlapping(const typename ue2::flat_set<T> &keys,
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std::vector<size_t> *containing) const {
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boost::dynamic_bitset<> seen(subsets.size()); // all zero by default.
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for (const auto &key : keys) {
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assert(key < member_to_subset.size());
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size_t sub = member_to_subset[key];
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assert(sub < subsets.size());
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seen.set(sub);
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}
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for (size_t i = seen.find_first(); i != seen.npos;
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i = seen.find_next(i)) {
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containing->push_back(i);
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}
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}
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/**
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* Creates a partitioned set containing elements [0, state_to_subset.size() )
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*
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* The initial subset that an element belongs to is given by the
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* corresponding entry in state_to_subset. The subsets should be identified
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* by a dense range of indices starting from 0.
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*/
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explicit partitioned_set(const std::vector<size_t> &state_to_subset) {
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assert(!state_to_subset.empty());
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subsets.reserve(state_to_subset.size());
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member_to_subset.resize(state_to_subset.size());
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split_temp_inter.reserve(state_to_subset.size());
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split_temp_diff.reserve(state_to_subset.size());
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size_t subset_count = 0;
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for (const auto &sub : state_to_subset) {
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assert(sub != INVALID_SUBSET);
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ENSURE_AT_LEAST(&subset_count, sub + 1);
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}
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assert(subset_count <= state_to_subset.size());
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subsets.resize(subset_count);
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for (size_t i = 0; i < state_to_subset.size(); i++) {
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/* ensure that our underlying type is big enough to hold all our
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* set members */
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assert(i == (size_t)(T)i);
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size_t sub = state_to_subset[i];
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assert(sub < subsets.size());
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member_to_subset[i] = sub;
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subsets[sub].members.push_back(i);
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}
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/* none of the subsets should be empty */
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assert(std::all_of(subsets.begin(), subsets.end(),
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[](const subset &sub){ return sub.size() > 0; }));
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}
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private:
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std::vector<size_t> member_to_subset;
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std::vector<subset> subsets;
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std::vector<T> split_temp_inter; /**< used internally by split to hold the
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* intersection. */
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std::vector<T> split_temp_diff; /**< used internally by split to hold the
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* set difference. */
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};
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} // namespace
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#endif
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