WIP: Copy tc logic from toddcox-faster

This commit is contained in:
David Allemang
2022-02-23 18:36:51 -05:00
parent 22976a9778
commit 63eb9e47b4
8 changed files with 730 additions and 1 deletions

189
tc/src/solve.cpp Normal file
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#include "tc/core.hpp"
#include <algorithm>
namespace tc {
struct RelTablesRow {
int *gnrs;
int **lst_ptrs;
RelTablesRow(int N, int *gnrs, int **lst_ptrs) : gnrs(gnrs), lst_ptrs(lst_ptrs) {
for (int i = 0; i < N; i++) {
lst_ptrs[i] = nullptr;
}
}
};
struct RelTables {
static const int ROW_BLOCK_SIZE = 64;
std::vector<Rel> rels;
std::vector<RelTablesRow *> rows;
int start = 0;
int num_tables;
int buffer_rows = 0;
explicit RelTables(const std::vector<Rel> &rels)
: num_tables(rels.size()), rels(rels) {
}
void add_row() {
if (buffer_rows == 0) {
int *gnrs_alloc = new int[num_tables * RelTables::ROW_BLOCK_SIZE];
int **lst_ptrs_alloc = new int *[num_tables * RelTables::ROW_BLOCK_SIZE];
for (int i = 0; i < RelTables::ROW_BLOCK_SIZE; i++) {
rows.push_back(
new RelTablesRow(num_tables, &gnrs_alloc[i * num_tables], &lst_ptrs_alloc[i * num_tables]));
}
buffer_rows = RelTables::ROW_BLOCK_SIZE;
}
buffer_rows--;
}
void del_rows_to(int idx) {
const int del_to = (idx / RelTables::ROW_BLOCK_SIZE) * RelTables::ROW_BLOCK_SIZE;
for (int i = start; i < del_to; i += RelTables::ROW_BLOCK_SIZE) {
delete[] rows[i]->gnrs;
delete[] rows[i]->lst_ptrs;
for (int j = 0; j < RelTables::ROW_BLOCK_SIZE; j++) {
delete rows[i + j];
}
start += RelTables::ROW_BLOCK_SIZE;
}
}
~RelTables() {
while (start < rows.size()) {
delete[] rows[start]->gnrs;
delete[] rows[start]->lst_ptrs;
for (int j = 0; j < RelTables::ROW_BLOCK_SIZE; j++) {
delete rows[start + j];
}
start += RelTables::ROW_BLOCK_SIZE;
}
}
};
Cosets Group::solve(const std::vector<int> &sub_gens) const {
Cosets cosets(ngens);
cosets.add_row();
if (ngens == 0) {
return cosets;
}
for (int g : sub_gens) {
if (g < ngens)
cosets.put(0, g, 0);
}
RelTables rel_tables(rels());
std::vector<std::vector<int>> gen_map(ngens);
int rel_idx = 0;
for (Rel m : rels()) {
gen_map[m.gens[0]].push_back(rel_idx);
gen_map[m.gens[1]].push_back(rel_idx);
rel_idx++;
}
int null_lst_ptr;
rel_tables.add_row();
RelTablesRow &row = *(rel_tables.rows[0]);
for (int table_idx = 0; table_idx < rel_tables.num_tables; table_idx++) {
Rel &ti = rel_tables.rels[table_idx];
if (cosets.get(ti.gens[0]) + cosets.get(ti.gens[1]) == -2) {
row.lst_ptrs[table_idx] = new int;
row.gnrs[table_idx] = 0;
} else {
row.lst_ptrs[table_idx] = &null_lst_ptr;
row.gnrs[table_idx] = -1;
}
}
int idx = 0;
int coset, gen, target, fact_idx, lst, gen_;
while (true) {
while (idx < cosets.data.size() and cosets.get(idx) >= 0)
idx++;
if (idx == cosets.data.size()) {
rel_tables.del_rows_to(idx / ngens);
break;
}
target = cosets.size();
cosets.add_row();
rel_tables.add_row();
std::vector<int> facts;
facts.push_back(idx);
coset = idx / ngens;
gen = idx % ngens;
rel_tables.del_rows_to(coset);
RelTablesRow &target_row = *(rel_tables.rows[target]);
while (!facts.empty()) {
fact_idx = facts.back();
facts.pop_back();
if (cosets.get(fact_idx) != -1)
continue;
cosets.put(fact_idx, target);
coset = fact_idx / ngens;
gen = fact_idx % ngens;
if (target == coset)
for (int table_idx : gen_map[gen])
if (target_row.lst_ptrs[table_idx] == nullptr)
target_row.gnrs[table_idx] = -1;
RelTablesRow &coset_row = *(rel_tables.rows[coset]);
for (int table_idx : gen_map[gen]) {
if (target_row.lst_ptrs[table_idx] == nullptr) {
Rel &ti = rel_tables.rels[table_idx];
target_row.lst_ptrs[table_idx] = coset_row.lst_ptrs[table_idx];
target_row.gnrs[table_idx] = coset_row.gnrs[table_idx] + 1;
if (coset_row.gnrs[table_idx] < 0)
target_row.gnrs[table_idx] -= 2;
if (target_row.gnrs[table_idx] == ti.mult) {
lst = *(target_row.lst_ptrs[table_idx]);
delete target_row.lst_ptrs[table_idx];
gen_ = ti.gens[(int) (ti.gens[0] == gen)];
facts.push_back(lst * ngens + gen_);
} else if (target_row.gnrs[table_idx] == -ti.mult) {
gen_ = ti.gens[ti.gens[0] == gen];
facts.push_back(target * ngens + gen_);
} else if (target_row.gnrs[table_idx] == ti.mult - 1) {
*(target_row.lst_ptrs[table_idx]) = target;
}
}
}
std::sort(facts.begin(), facts.end(), std::greater<>());
}
for (int table_idx = 0; table_idx < rel_tables.num_tables; table_idx++) {
Rel &ti = rel_tables.rels[table_idx];
if (target_row.lst_ptrs[table_idx] == nullptr) {
if ((cosets.get(target, ti.gens[0]) != target) and
(cosets.get(target, ti.gens[1]) != target)) {
target_row.lst_ptrs[table_idx] = new int;
target_row.gnrs[table_idx] = 0;
} else {
target_row.lst_ptrs[table_idx] = &null_lst_ptr;
target_row.gnrs[table_idx] = -1;
}
}
}
}
return cosets;
}
}