triangle.cpp

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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    triangle.cpp
 * @brief   
 */

#include "system/exc_common.hh"
#include "mesh/ngh/include/triangle.h"
#include "mesh/element_impls.hh"



int TTriangle::numberInstance = 0;

int TTriangle::generateId() {
    return TTriangle::numberInstance++;
}

TTriangle::TTriangle() {
    id = generateId();

    A1 = new TAbscissa();
    A2 = new TAbscissa();
    A3 = new TAbscissa();

    pl = new TPlain();

    area = 0;
}

TTriangle::TTriangle(const TTriangle& T) {
    id = generateId();

    X1 = T.X1;
    X2 = T.X2;
    X3 = T.X3;

    update();
}

TTriangle::TTriangle(const TPoint& P1, const TPoint& P2, const TPoint& P3) {
    id = generateId();

    X1 = P1;
    X2 = P2;
    X3 = P3;

    update();
}


TTriangle::TTriangle(const Element& ele) {
    id = generateId();

    X1=TPoint(ele.node[0]->point()(0), ele.node[0]->point()(1), ele.node[0]->point()(2));
    X2=TPoint(ele.node[1]->point()(0), ele.node[1]->point()(1), ele.node[1]->point()(2));
    X3=TPoint(ele.node[2]->point()(0), ele.node[2]->point()(1), ele.node[2]->point()(2));

    update();
}

void TTriangle::update() {
    A1 = new TAbscissa(X1, X2);
    A2 = new TAbscissa(X2, X3);
    A3 = new TAbscissa(X3, X1);

    pl = new TPlain(X1, X2, X3);

    ComputeArea();
}

TTriangle::~TTriangle() {
    if (A1 != NULL) {
        delete A1;
    }
    if (A2 != NULL) {
        delete A2;
    }
    if (A3 != NULL) {
        delete A3;
    }

    if (pl != NULL) {
        delete pl;
    }
}

const TPlain &TTriangle::GetPlain() const {
    return *pl;
}

const TAbscissa &TTriangle::GetAbscissa(const int i) const {
    switch (i) {
        case 1: return *A1;
            break;
        case 2: return *A2;
            break;
        case 3: return *A3;
            break;
        default:
            THROW( ExcAssertMsg() << EI_Message( "Unknown number of the abscissa of the triangle.") );

    }
}

const TPoint &TTriangle::GetPoint(int i) const {
    switch (i) {
        case 1: return X1;
            break;
        case 2: return X2;
            break;
        case 3: return X3;
            break;
        default: THROW( ExcAssertMsg() << EI_Message( "Unknown number of the point of the triangle.") );
    }
}

void TTriangle::SetPoints(const TPoint& P1, const TPoint& P2, const TPoint& P3) {
    X1 = P1;
    X2 = P2;
    X3 = P3;

    A1->SetPoints(P1, P2);
    A2->SetPoints(P2, P3);
    A3->SetPoints(P3, P1);

    pl->SetPoints(P1, P2, P3);

    ComputeArea();
}

void TTriangle::ComputeArea() {
    TVector N = Cross(A1->GetVector(), A2->GetVector());
    area = 0.5 * N.Length();
}

double TTriangle::GetArea() {
    return area;
}

BoundingBox &TTriangle::get_bounding_box() {
    arma::vec3 minCoor;
    arma::vec3 maxCoor;

    for (int i=0; i<3; ++i) {
        minCoor(i) = GetMin(i+1);
        maxCoor(i) = GetMax(i+1);
    }

    boundingBox=BoundingBox(minCoor, maxCoor);
    return boundingBox;
}

double TTriangle::GetMin(int i) const {
    double min = X1.Get(i);

    if (X2.Get(i) < min) {
        min = X2.Get(i);
    }
    if (X3.Get(i) < min) {
        min = X3.Get(i);
    }

    return min;
}

double TTriangle::GetMax(int i) const {
    double max = X1.Get(i);

    if (X2.Get(i) > max) {
        max = X2.Get(i);
    }
    if (X3.Get(i) > max) {
        max = X3.Get(i);
    }

    return max;
}

TTriangle & TTriangle::operator =(const TTriangle& t) {
    area = t.area;

    *(*this).A1 = *t.A1;
    *(*this).A2 = *t.A2;
    *(*this).A3 = *t.A3;
    *(*this).pl = *t.pl;
    X1 = t.X1;
    X2 = t.X2;
    X3 = t.X3;

    return *this;
}

bool TTriangle::IsInner(const TPoint& P) const {
    TVector N1, N2, U1(X1, X2), U2(X2, X3), U3(X3, X1);
    TVector Up1(X1, P), Up2(X2, P), Up3(X3, P);

    N1 = Cross(Up1, U1);
    N2 = Cross(U1, U3);
    if (Dot(N1, N2) < 0) {
        return false;
    }

    N1 = Cross(Up2, U2);
    N2 = Cross(U2, U1);
    if (Dot(N1, N2) < 0) {
        return false;
    }

    N1 = Cross(Up3, U3);
    N2 = Cross(U3, U2);
    if (Dot(N1, N2) < 0) {
        return false;
    }

    return true;
}