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https://github.com/allemangD/toddcox-visualize.git
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restructure cmake project
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154
src/solver.cpp
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154
src/solver.cpp
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#include "solver.h"
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#include <algorithm>
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#include <functional>
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namespace tc {
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Cosets::Cosets(int ngens, const std::vector<int> &data) : ngens(ngens), data(data) {
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len = data.size() / ngens;
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}
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void Cosets::add_row() {
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len++;
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data.resize(data.size() + ngens, -1);
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}
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void Cosets::put(int coset, int gen, int target) {
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data[coset * ngens + gen] = target;
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data[target * ngens + gen] = coset;
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}
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void Cosets::put(int idx, int target) {
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int coset = idx / ngens;
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int gen = idx % ngens;
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data[idx] = target;
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data[target * ngens + gen] = coset;
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}
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int Cosets::get(int coset, int gen) const {
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return data[coset * ngens + gen];
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}
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int Cosets::get(int idx) const {
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return data[idx];
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}
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RelTable::RelTable(Mult m) : mult(m.mult) {
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gens[0] = m.gen0;
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gens[1] = m.gen1;
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}
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int RelTable::add_row() {
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int idx = lst_ptr.size();
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lst_ptr.push_back(nullptr);
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gen.push_back(-1);
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return idx;
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}
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Cosets solve(const Group &group, const std::vector<int> &sub_gens) {
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std::vector<int> init_row(group.ngens, -1);
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for (int i : sub_gens) {
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init_row[i] = 0;
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}
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Cosets cosets(group.ngens, init_row);
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std::vector<RelTable> rel_tables;
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std::vector<std::vector<int>> gen_map(group.ngens);
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int rel_idx;
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for (Mult m : group.get_mults()) {
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rel_idx = rel_tables.size();
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gen_map[m.gen0].push_back(rel_idx);
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gen_map[m.gen1].push_back(rel_idx);
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rel_tables.emplace_back(m);
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}
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int null_lst_ptr;
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for (RelTable &rel : rel_tables) {
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int idx = rel.add_row();
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if (cosets.get(rel.gens[0]) + cosets.get(rel.gens[1]) == -2) {
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rel.lst_ptr[idx] = new int;
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rel.gen[idx] = 0;
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} else {
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rel.lst_ptr[idx] = &null_lst_ptr;
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rel.gen[idx] = -1;
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}
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}
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int idx = 0;
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int coset, gen, target, fact_idx, lst, gen_;
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while (true) {
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while (idx < cosets.data.size() and cosets.get(idx) >= 0)
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idx++;
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if (idx == cosets.data.size())
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break;
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target = cosets.len;
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cosets.add_row();
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for (RelTable &rel : rel_tables) {
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rel.add_row();
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}
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std::vector<int> facts;
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facts.push_back(idx);
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coset = idx / group.ngens;
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gen = idx % group.ngens;
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while (!facts.empty()) {
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fact_idx = facts.back();
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facts.pop_back();
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if (cosets.get(fact_idx) != -1)
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continue;
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cosets.put(fact_idx, target);
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coset = fact_idx / group.ngens;
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gen = fact_idx % group.ngens;
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for (int rel_idx : gen_map[gen]) {
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RelTable &rel = rel_tables[rel_idx];
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if (rel.lst_ptr[target] == nullptr) {
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rel.lst_ptr[target] = rel.lst_ptr[coset];
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rel.gen[target] = rel.gen[coset] + 1;
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if (rel.gen[coset] < 0)
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rel.gen[target] -= 2;
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if (rel.gen[target] == rel.mult) {
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lst = *(rel.lst_ptr[target]);
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delete rel.lst_ptr[target];
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gen_ = rel.gens[(int) (rel.gens[0] == gen)];
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facts.push_back(lst * group.ngens + gen_);
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} else if (rel.gen[target] == -rel.mult) {
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gen_ = rel.gens[rel.gens[0] == gen];
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facts.push_back(target * group.ngens + gen_);
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} else if (rel.gen[target] == rel.mult - 1) {
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*(rel.lst_ptr[target]) = target;
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}
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}
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}
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std::sort(facts.begin(), facts.end(), std::greater<>());
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}
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for (RelTable &rel : rel_tables) {
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if (rel.lst_ptr[target] == nullptr) {
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if ((cosets.get(target, rel.gens[0]) != target) and
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(cosets.get(target, rel.gens[1]) != target)) {
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rel.lst_ptr[target] = new int;
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rel.gen[target] = 0;
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} else {
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rel.lst_ptr[target] = &null_lst_ptr;
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rel.gen[target] = -1;
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}
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}
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}
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}
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return cosets;
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}
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}
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