// ---------------------------------------------------------------------------
//
//  This file is part of PermLib.
//
// Copyright (c) 2009-2010 Thomas Rehn <thomas@carmen76.de>
// All rights reserved.
// 
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions
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//    derived from this software without specific prior written permission.
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// ---------------------------------------------------------------------------


#include <permlib/permutation.h>
#include <permlib/bsgs.h>
#include <permlib/transversal/schreier_tree_transversal.h>
#include <permlib/construct/schreier_sims_construction.h>
#include <permlib/change/conjugating_base_change.h>
#include <permlib/search/classic/set_stabilizer_search.h>

#include <iostream>

int main(int argc, char *argv[]) {
	using namespace permlib;
	
	// we use elementary permutations
	typedef Permutation PERM;
	// and Schreier tree transversals
	typedef SchreierTreeTransversal<PERM> TRANSVERSAL;
	
	// our group will have degree 10
	const unsigned long n = 10;
	
	// group generators
	std::list<PERM::ptr> groupGenerators;
	PERM::ptr gen1(new PERM(n, std::string("1 3 5 7 9 10 2 4 6 8")));
	groupGenerators.push_back(gen1);
	PERM::ptr gen2(new PERM(n, std::string("1 5")));
	groupGenerators.push_back(gen2);
	
	// BSGS construction
	SchreierSimsConstruction<PERM, TRANSVERSAL> schreierSims(n);
	BSGS<PERM, TRANSVERSAL> bsgs = schreierSims.construct(groupGenerators.begin(),
														  groupGenerators.end());
	std::cout << "Group " << bsgs << std::endl;
	
	// we want to stabilize a set
	const unsigned long DeltaSize = 4;
	// represents the set {1,5,8,9}, translated by -1 as the elements of the domain are 0-based
	const unsigned long Delta[DeltaSize] = {0, 4, 7, 8};

	// change the base so that is prefixed by the set
	ConjugatingBaseChange<PERM,TRANSVERSAL,
		RandomBaseTranspose<PERM,TRANSVERSAL> > baseChange(bsgs);
	baseChange.change(bsgs, Delta, Delta+DeltaSize);
	
	// prepare search without DCM pruning
	classic::SetStabilizerSearch<BSGS<PERM,TRANSVERSAL>, TRANSVERSAL> backtrackSearch(bsgs, 0);
	backtrackSearch.construct(Delta, Delta+DeltaSize);
	
	// start the search
	BSGS<PERM,TRANSVERSAL> stabilizer(n);
	backtrackSearch.search(stabilizer);
	
	std::cout << "Stabilizer of {1,5,8,9}: " << stabilizer << std::endl;
	
	return 0;
}
