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/*
 * Top_faces.h
 *
 *  Created on: Oct 23, 2014
 *      Author: dsalinas
 */

#ifndef TOP_FACES_H_
#define TOP_FACES_H_

#include <list>
#include <vector>
#include <set>

template<typename SimplexHandle>
std::list<SimplexHandle> subfaces(SimplexHandle top_face){
	std::list<SimplexHandle> res;
	if(top_face.dimension()==-1) return res;
	if(top_face.dimension()==0) {
		res.push_back(top_face);
		return res;
	}
	else{
		auto first_vertex = top_face.first_vertex();
		top_face.remove_vertex(first_vertex);
		res = subfaces(top_face);
		std::list<SimplexHandle> copy = res;
		for(auto& simplex : copy){
			simplex.add_vertex(first_vertex);
		}
		res.push_back(SimplexHandle(first_vertex));
		res.splice(res.end(),copy);
		return res;
	}
}

/**
 * add all faces of top_face in simplices_per_dimension
 */
template<typename SimplexHandle>
void register_faces(
		std::vector< std::set<SimplexHandle> >& simplices_per_dimension,
		const SimplexHandle& top_face){
	std::list<SimplexHandle> subfaces_list = subfaces(top_face);
	for(auto& simplex : subfaces_list ){
		simplices_per_dimension[simplex.dimension()].insert(simplex);
	}
}




#endif /* TOP_FACES_H_ */