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package symjava.examples.fem;

import java.util.List;

import symjava.domains.Domain2D;

import symjava.symbolic.Expr;

public class RefTriangle extends Domain2D {

static double[][] order3 = {

{0.5, 0.5, 1.0 / 6.0},

{0.0, 0.5, 1.0 / 6.0},

{0.5, 0.0, 1.0 / 6.0}

};

static double[][] order4 = {

{ 0.6, 0.2, 25.0/96.0},

{ 0.2, 0.6, 25.0/96.0},

{ 0.2, 0.2, 25.0/96.0},

{1.0/3.0, 1.0/3.0, -27.0/96.0}

};

static double[][] order5 = {

{0.10128651, 0.10128651, 0.06296959},

{0.47014206, 0.05971587, 0.06619708},

{0.79742699, 0.10128651, 0.06296959},

{0.47014206, 0.47014206, 0.06619708},

{0.10128651, 0.79742699, 0.06296959},

{0.05971587, 0.47014206, 0.06619708},

{0.33333333, 0.33333333, 0.11250000}

};

public RefTriangle(String label, Expr ...coordVars) {

super(label, coordVars);

}

public RefTriangle(String label, List<Expr> coordVars) {

super(label, coordVars.toArray(new Expr[0]));

}

@Override

public double[][] getIntWeightAndPoints(int order) {

//The total weight is 0.5, since the area of the triangle is 0.5

if(order == 3)

return order3;

if(order == 4)

return order4;

if(order == 5)

return order5;

return null;

}

}