sides.cc

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/*!
 *
 * Copyright (C) 2015 Technical University of Liberec.  All rights reserved.
 * 
 * This program is free software; you can redistribute it and/or modify it under
 * the terms of the GNU General Public License version 3 as published by the
 * Free Software Foundation. (http://www.gnu.org/licenses/gpl-3.0.en.html)
 * 
 * This program is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
 * FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more details.
 *
 * 
 * @file    sides.cc
 * @ingroup mesh
 * @brief   Some side related functions - should be made strictly geometric.
 */
 
#include "system/system.hh"
#include "mesh/side_impl.hh"
#include "mesh/mesh.h"
#include "sides.h"
#include "mesh/accessors.hh"
 
 
//=============================================================================
// CALCULATE METRICS OF THE SIDE
//=============================================================================
 
double Side::measure() const {
    switch ( dim() ) {
        case 0:
            return 1.0;
        case 1: {
            arma::vec3 diff = node(1)->point();
            diff -= node(0)->point();
            return arma::norm( diff , 2 );
        }
        case 2: {
            arma::vec3 diff0 = node(1)->point() - node(0)->point();
            arma::vec3 diff1 = node(2)->point() - node(0)->point();
            return 0.5*arma::norm( arma::cross(diff0, diff1), 2);
        }
    }
 
    return 0.0;
}
 
//=============================================================================
// CALCULATE NORMAL OF THE SIDE
//=============================================================================
 
arma::vec3 Side::normal() const {
    switch ( dim() ) {
        case 0:
            return normal_point();
        case 1:
            return normal_line();
        case 2:
            return normal_triangle();
    }
 
    return arma::vec3("0 0 0");
}
//=============================================================================
//
//=============================================================================
 
arma::vec3 Side::normal_point() const {
    ElementAccessor<3> ele = element();
 
    arma::vec3 normal(ele.node(1)->point());
    normal -= ele.node(0) ->point();
 
    normal /=arma::norm(normal,2);
    if ( node( 0 ) == ele.node_accessor( 0 ) )
        return -normal;
    else
        return normal;
}
//=============================================================================
//
//=============================================================================
 
arma::vec3 Side::normal_line() const {
    ElementAccessor<3> ele = element();
 
    // At first, we need vector of the normal of the element
    arma::vec3 elem_normal=arma::cross( ele.node(1)->point() - ele.node(0)->point(),
                                        ele.node(2)->point() - ele.node(0)->point() );
    elem_normal /= norm( elem_normal, 2);
 
    // Now we can calculate the "normal" of our side
    arma::vec3 side_normal = arma::cross( node(1)->point() - node(0)->point() , elem_normal );
    side_normal /= norm( side_normal, 2);
 
    if ( dot( side_normal, ele.centre() - node(0)->point() ) > 0.0)
        return -side_normal;
    else
        return side_normal;
}
//=============================================================================
//
//=============================================================================
 
arma::vec3 Side::normal_triangle() const {
    arma::vec3 side_normal=arma::cross( node(1)->point() - node(0)->point(),
                                        node(2)->point() - node(0)->point() );
    side_normal /= norm( side_normal, 2);
 
    if ( dot(side_normal, element().centre() - node(0)->point() ) > 0.0)
        return -side_normal;
    else
        return side_normal;
}
 
//=============================================================================
// CALCULATE CENTRE OF THE SIDE
//=============================================================================
 
arma::vec3 Side::centre() const {
    arma::vec3 barycenter;
    barycenter.zeros();
 
    for(unsigned int i=0; i < n_nodes() ; i++)
        barycenter += node( i )->point();
 
    barycenter /= (double) n_nodes();
    return barycenter;
}
 
 
//-----------------------------------------------------------------------------
// vim: set cindent: