505 lines
18 KiB
C++
505 lines
18 KiB
C++
#include <iostream>
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#include <fstream>
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#include <vector>
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#include <algorithm>
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#include <array>
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#include <map>
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#include <set>
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#include <unordered_set>
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#include <utility>
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#include <cstring>
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#include <functional>
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#include <list>
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#include <cctype>
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#include <thread>
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#include <mutex>
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#include <atomic>
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#include <iterator>
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#include "finite_function.hpp"
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using namespace std;
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const CellType CUR_BASE = 3;
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const int ARGS_COUNT = 2;
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template <size_t BASE>
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class FixedIniter {
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public:
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// rules это отображение обязательных значений аргументов, к
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// значениями функции, которые не должны при них изменяться
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explicit FixedIniter(map<pair<size_t, size_t>, int> rules) : _rules(rules), _cur_values(BASE*BASE, 0) {
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for (auto it = rules.begin(); it != rules.end(); ++it) {
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size_t arg1 = it->first.first;
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size_t arg2 = it->first.second;
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int value = it->second;
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_cur_values.at(FiniteFunction<BASE>::get_index(arg1, arg2)) = value;
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_used_indexes.insert(FiniteFunction<BASE>::get_index(arg1, arg2));
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}
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}
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int operator() (int first, int second) const {
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return _cur_values[FiniteFunction<BASE>::get_index(first, second)];
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}
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// Возвращает true, пока может построить следующую функцию
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// если не может это сделать, то возвращает false
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bool set_next() {
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bool is_overflow = true;
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for (size_t i = 0; is_overflow; ++i) {
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if ( i >= _cur_values.size() )
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return false;
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if ( _used_indexes.count(i) > 0 )
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continue;
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_cur_values.at(i) += 1;
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bool is_overflow = (_cur_values.at(i) > static_cast<int>(BASE) - 1);
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if ( is_overflow )
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_cur_values.at(i) = 0;
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else
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return true;
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}
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throw "Wrong logic";
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}
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private:
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set<size_t> _used_indexes;
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map<pair<size_t, size_t>, int> _rules;
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vector<int> _cur_values;
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};
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template <class Iterable>
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void write_function_class(ofstream &f_out, Iterable begin, Iterable end) {
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for (;begin != end; ++begin)
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f_out << *begin << " ";
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f_out << endl;
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}
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/*
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template <int BASE>
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void get_permutations(vector<array<int, BASE>> &permutations) {
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permutations.clear();
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array<int, BASE> cur_perm;
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for (int i = 0; i < BASE; ++i)
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cur_perm[i] = i;
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do {
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permutations.push_back(cur_perm);
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} while ( next_permutation(cur_perm.begin(), cur_perm.end()) );
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}
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*/
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template<class TripleArgsFiniteFunction>
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bool is_one_arg_func(const TripleArgsFiniteFunction &h) {
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bool is_equaled_x = true;
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bool is_equaled_y = true;
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bool is_equaled_z = true;
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for (CellType x = 0; x < CUR_BASE; ++x)
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for (CellType y = 0; y < CUR_BASE; ++y) {
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for (CellType z = 0; z < CUR_BASE; ++z) {
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is_equaled_x = is_equaled_x && (h(x,y,z) == x);
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is_equaled_y = is_equaled_y && (h(x,y,z) == y);
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is_equaled_z = is_equaled_z && (h(x,y,z) == z);
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}
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if ( !is_equaled_x && !is_equaled_y && !is_equaled_z )
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return false;
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}
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return true;
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}
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template<class TripleArgsFiniteFunction>
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bool is_projection(const TripleArgsFiniteFunction &h) {
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bool is_projection = true;
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for (CellType x = 0; x < CUR_BASE; ++x)
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for (CellType y = 0; y < CUR_BASE; ++y) {
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is_projection = (is_projection
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&& h(x,x,y) == h(x,y,x)
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&& h(x,y,x) == h(y,x,x)
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&& h(y,x,x) == x);
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}
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return is_projection;
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}
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template<class TripleArgsFiniteFunction>
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bool is_semiprojection(const TripleArgsFiniteFunction &h) {
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bool is_equaled_x = true;
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bool is_equaled_y = true;
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bool is_equaled_z = true;
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for (CellType x = 0; x < CUR_BASE; ++x)
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for (CellType y = 0; y < CUR_BASE; ++y)
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for (CellType z = 0; z < CUR_BASE; ++z) {
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// если все различны, то не рассматриваем
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if ( x != y && x != z && y != z )
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continue;
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is_equaled_x = is_equaled_x && (h(x,y,z) == x);
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is_equaled_y = is_equaled_y && (h(x,y,z) == y);
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is_equaled_z = is_equaled_z && (h(x,y,z) == z);
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}
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return is_equaled_x || is_equaled_y || is_equaled_z;
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}
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bool is_passed_rosenberg(const FiniteFunction<CUR_BASE> &f) {
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auto h_1 = [f](const CellType x, const CellType y, CellType z) -> CellType {
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return f( f(x,y), f(x,z) );
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};
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if ( !is_one_arg_func(h_1) ) {
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if ( is_projection(h_1) || is_semiprojection(h_1) )
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return false;
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}
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auto h_2 = [f](const CellType x, const CellType y, CellType z) -> CellType {
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return f( f(x, y), f(z, x) );
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};
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if ( !is_one_arg_func(h_2) ) {
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if ( is_projection(h_2) || is_semiprojection(h_2) )
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return false;
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}
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auto h_3 = [f](const CellType x, const CellType y, CellType z) -> CellType {
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return f( f(x,y), f(y,z) );
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};
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if ( !is_one_arg_func(h_3) ) {
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if ( is_projection(h_3) || is_semiprojection(h_3) )
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return false;
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}
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auto h_4 = [f](const CellType x, const CellType y, CellType z) -> CellType {
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return f( f(x,y), f(z,y) );
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};
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if ( !is_one_arg_func(h_4) ) {
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if ( is_projection(h_4) || is_semiprojection(h_4) )
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return false;
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}
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return true;
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}
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template <CellType BASE>
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vector<FiniteFunction<BASE>> get_funcs() {
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size_t count = 0;
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map<pair<size_t, size_t>, int> rules;
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for (int i = 0; i < BASE; ++i)
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rules[make_pair<size_t, size_t>(i,i)] = i;
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FixedIniter<BASE> initer(rules);
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//vector<array<int, BASE>> permutations;
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//get_permutations<BASE>(permutations);
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vector<FiniteFunction<BASE>> funcs;
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set< FiniteFunction<BASE> > permutated_funcs;
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do {
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++count;
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auto cur_func = FiniteFunction<BASE>(initer);
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//if ( permutated_funcs.find(cur_func) != permutated_funcs.end() )
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// continue;
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// если закомментить, то 17 классов, вместо 20
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//for (auto&& permutation: permutations)
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// permutated_funcs.insert(cur_func.apply_permutation(permutation));
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funcs.push_back(cur_func);
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} while (initer.set_next());
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cout << "Total " << count << " functions" << endl;
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funcs.erase(
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remove_if(
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funcs.begin(),
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funcs.end(),
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[](const FiniteFunction<BASE> & f) {
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return !is_passed_rosenberg(f);
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}
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),
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funcs.end()
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);
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cout << "After Rosenberg " << funcs.size() << " functions" << endl;
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//if ( permutated_funcs.size() != count )
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// throw "Permutation's logic error!";
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return funcs;
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}
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template <CellType BASE>
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set<FiniteFunction<BASE>> generate_function_class(FiniteFunction<BASE> base_function) {
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auto FiniteFunctionHasher = [](const FiniteFunction<BASE> &f) -> uint32_t {
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return f.get_hash();
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};
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unordered_set<
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FiniteFunction<CUR_BASE>,
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decltype(FiniteFunctionHasher)
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> func_class(1024, FiniteFunctionHasher);
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func_class.insert(base_function);
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//cout << "start with " << base_function << " ";
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size_t last_size = 0; // размер в прошлой итерации
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while (true) {
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unordered_set<
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FiniteFunction<CUR_BASE>,
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decltype(FiniteFunctionHasher)
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> new_funcs(1024, FiniteFunctionHasher);
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for (const auto& f_main: func_class) {
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new_funcs.insert(f_main.reversed());
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//new_funcs.insert(f_main.equaled());
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for (const auto& f_applied: func_class) {
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//FiniteFunction<BASE> f_left_1, f_left_2;
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//tie(f_left_1, f_left_2) = f_main.apply_to_first(f_applied);
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FiniteFunction<BASE> f_left;
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f_left = f_main.apply_to_first_partial(f_applied);
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new_funcs.insert(f_left);
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}
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}
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if ( new_funcs.size() == last_size ) {
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break;
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}
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func_class.insert(new_funcs.begin(), new_funcs.end());
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last_size = new_funcs.size();
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}
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return set<FiniteFunction<BASE>>(func_class.begin(), func_class.end());
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}
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vector <FiniteFunction<CUR_BASE>> possible_functions;
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size_t total_possible_functions;
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atomic<long> current_function;
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mutex possible_functions_mutex;
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list< set<FiniteFunction<CUR_BASE>> > shared_function_classes;
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mutex shared_functions_mutex;
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void do_work() {
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list< set<FiniteFunction<CUR_BASE>> > local_function_classes;
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FiniteFunction<CUR_BASE> identical_x(string("000 111 222"));
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FiniteFunction<CUR_BASE> identical_y(string("012 012 012"));
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while ( true ) {
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possible_functions_mutex.lock();
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if ( current_function >= total_possible_functions ) {
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possible_functions_mutex.unlock();
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break;
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}
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FiniteFunction<CUR_BASE> base_function = possible_functions.at(
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current_function
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);
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++current_function;
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possible_functions_mutex.unlock();
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set< FiniteFunction<CUR_BASE> > func_class = generate_function_class(base_function);
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func_class.erase(identical_x);
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func_class.erase(identical_y);
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bool is_need_append = true;
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vector<decltype(local_function_classes)::iterator> functions_to_remove;
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for (auto it = local_function_classes.begin(); it != local_function_classes.end(); ++it) {
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if ( func_class.size() < it->size() ) {
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if (includes(
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it->begin(),
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it->end(),
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func_class.begin(),
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func_class.end()
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)
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) {
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// новый класс функций часть уже существующего
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functions_to_remove.push_back(it);
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}
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} else {
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if (includes(
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func_class.begin(),
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func_class.end(),
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it->begin(),
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it->end()
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)
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) {
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// новый класс функций надмножество существующего
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is_need_append = false;
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break;
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}
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}
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}
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if ( is_need_append )
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local_function_classes.push_back(func_class);
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for (auto&& to_remove: functions_to_remove)
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local_function_classes.erase(to_remove);
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}
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cout << "local " << this_thread::get_id() << ": "
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<< local_function_classes.size() << " functions" << endl;
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// Сливаем всё вметсе
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shared_functions_mutex.lock();
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for (auto it_local = local_function_classes.begin(); it_local != local_function_classes.end(); ++it_local) {
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auto func_class = *it_local;
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bool is_need_append = true;
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vector<decltype(local_function_classes)::iterator> functions_to_remove;
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for (auto it = shared_function_classes.begin(); it != shared_function_classes.end(); ++it) {
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if ( func_class.size() < it->size() ) {
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if (includes(
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it->begin(),
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it->end(),
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func_class.begin(),
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func_class.end()
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)
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) {
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// новый класс функций часть уже существующего
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functions_to_remove.push_back(it);
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}
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} else {
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if (includes(
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func_class.begin(),
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func_class.end(),
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it->begin(),
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it->end()
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)
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) {
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// новый класс функций надмножество существующего
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is_need_append = false;
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break;
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}
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}
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}
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if ( is_need_append )
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shared_function_classes.push_back(func_class);
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for (auto&& to_remove: functions_to_remove)
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shared_function_classes.erase(to_remove);
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}
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shared_functions_mutex.unlock();
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cout << "shared_functions_mutex unlocked" << endl;
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}
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int main() {
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auto FiniteFunctionHasher = [](const FiniteFunction<CUR_BASE> &f) -> uint32_t {
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return f.get_hash();
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};
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auto THREADS_COUNT = thread::hardware_concurrency();
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cout << "Using " << THREADS_COUNT << " threads" << endl;
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auto funcs = get_funcs<CUR_BASE>();
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cout << "Removing permutations " << funcs.size() << " functions" << endl;
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/*vector<array<int, 3>> permutations;
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get_permutations<3>(permutations);
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string function_to_str("000 112 212");
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cout << FiniteFunction<3>(function_to_str).apply_permutation(permutations[1]) << endl;
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cout << FiniteFunction<3>(function_to_str).apply_permutation(permutations[2]) << endl;
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cout << FiniteFunction<3>(function_to_str).apply_permutation(permutations[3]) << endl;
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cout << FiniteFunction<3>(function_to_str).apply_permutation(permutations[4]) << endl;
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cout << FiniteFunction<3>(function_to_str).apply_permutation(permutations[5]) << endl;
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*/
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//cout << "022_210_002 -> " << FiniteFunction<3>(string("022 210 002")) << endl;
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list< set<FiniteFunction<CUR_BASE>> > function_classes;
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unordered_set<
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FiniteFunction<CUR_BASE>,
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decltype(FiniteFunctionHasher)
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> allowed_functions(funcs.begin(), funcs.end(), 128, FiniteFunctionHasher);
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FiniteFunction<CUR_BASE> identical_x(string("000 111 222"));
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FiniteFunction<CUR_BASE> identical_y(string("012 012 012"));
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allowed_functions.erase(identical_x);
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allowed_functions.erase(identical_y);
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cout << "Total allowed " << allowed_functions.size() << " functions" << endl;
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copy(
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allowed_functions.begin(),
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allowed_functions.end(),
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back_inserter(possible_functions)
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);
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total_possible_functions = possible_functions.size();
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current_function = 0;
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vector< thread > thread_pool;
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for (size_t i = 0; i < THREADS_COUNT; ++i)
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thread_pool.push_back(thread(do_work));
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for (auto&& t: thread_pool)
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t.join();
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cout << "Shared " << shared_function_classes.size() << " functions!" << endl;
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// перегоняем список с классами в массив с классами
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vector< set<FiniteFunction<CUR_BASE>> > vector_classes(
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shared_function_classes.begin(),
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shared_function_classes.end()
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);
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/*// фильтруем перестановки
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vector<array<int, CUR_BASE>> permutations;
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get_permutations<CUR_BASE>(permutations);
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map<size_t, vector<vector<set<FiniteFunction<CUR_BASE>>>::iterator> > classes_per_size;
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for (auto it = vector_classes.begin(); it != vector_classes.end(); ++it) {
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classes_per_size[it->size()].push_back(it);
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}
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set<vector<set<FiniteFunction<CUR_BASE>>>::iterator> classes_to_remove;
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for (auto&& class_fixed_size: classes_per_size) {
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typedef pair<FiniteFunction<CUR_BASE>,vector<set<FiniteFunction<CUR_BASE>>>::iterator> sorting_arr_type;
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cout << class_fixed_size.first << " -> " <<
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class_fixed_size.second.size() << endl;
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vector< sorting_arr_type > all_class_elements;
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for (auto &&cur_class_it: class_fixed_size.second) {
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for (auto&& cur_fn: (*cur_class_it)) {
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if ( (cur_fn == identical_x) || (cur_fn == identical_y) )
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continue;
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for (auto&& permutation: permutations)
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all_class_elements.push_back(make_pair(
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cur_fn.apply_permutation(permutation),
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cur_class_it
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));
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}
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}
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cout << all_class_elements.size() << endl;
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// сортируем массив
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sort(all_class_elements.begin(),all_class_elements.end());
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for (auto&& el: all_class_elements)
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cout << el.first << "|";
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// выбираем, кого удалить
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for (size_t i = 0; i < all_class_elements.size(); ++i) {
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decltype(classes_to_remove) cur_vals_to_remove;
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size_t j;
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for (
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j = i;
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(j < all_class_elements.size()) &&
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(all_class_elements.at(i).first == all_class_elements.at(j).first);
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++j
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) {
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cout << all_class_elements.at(i).first << "<->" <<
|
||
all_class_elements.at(j).first << " " <<
|
||
(all_class_elements.at(i).second == all_class_elements.at(j).second )
|
||
<<endl;
|
||
cur_vals_to_remove.insert(all_class_elements.at(j).second);
|
||
}
|
||
|
||
for (
|
||
auto it = next(cur_vals_to_remove.begin());
|
||
it != cur_vals_to_remove.end();
|
||
++it
|
||
) {
|
||
classes_to_remove.insert(*it);
|
||
}
|
||
|
||
cout << "size " << cur_vals_to_remove.size() << endl;
|
||
i = j;
|
||
}
|
||
|
||
|
||
}
|
||
cout << "classes_to_remove.size() = " <<classes_to_remove.size() << endl;
|
||
// удаляем
|
||
{
|
||
decltype(vector_classes) new_vector_classes;
|
||
for (auto it = vector_classes.begin(); it != vector_classes.end(); ++it)
|
||
if ( classes_to_remove.find(it) == classes_to_remove.end() )
|
||
new_vector_classes.push_back(*it);
|
||
swap(new_vector_classes, vector_classes);
|
||
}*/
|
||
std::ofstream f_out("classes.txt");
|
||
for (const auto& func_class: vector_classes) {
|
||
write_function_class(f_out, func_class.begin(), func_class.end());
|
||
}
|
||
f_out.close();
|
||
return 0;
|
||
}
|