public void TestEvaluatAndProject()
{
Action <Line2d, double> test = (line, u) =>
{
Point2d p = line.Evaluate(u);
double _u = line.Project(p);
Assert.IsTrue(u.EpsilonEquals(_u));
Point2d p2 = line.Evaluate(_u);
Assert.IsTrue(p.EpsilonEquals(p2));
};
// Comprueba los métodos Evaluate y Project sobre lineas normalizadas.
{
Line2d lin = Line2d.NewNormal(new Point2d(50, 0), new Point2d(0, 50));
test(lin, -10);
test(lin, -1);
test(lin, -0.5);
test(lin, 0);
test(lin, 0.5);
test(lin, 1);
test(lin, 10);
}
// Comprueba los métodos Evaluate y Project sobre lineas no normalizadas.
{
Line2d lin = Line2d.NewNonNormal(new Point2d(50, 0), new Point2d(0, 50));
test(lin, -10);
test(lin, -1);
test(lin, -0.5);
test(lin, 0);
test(lin, 0.5);
test(lin, 1);
test(lin, 10);
}
}
public void TestIsOrthonormal()
{
// Comprueba el método IsNormal sobre lineas no normales.
{
// Caso normal.
Assert.IsTrue(Line2d.NewNonNormal(new Point2d(1, 1), new Vector2d(1, 0)).IsNormal);
Assert.IsTrue(Line2d.NewNonNormal(new Point2d(1, 1), new Vector2d(0, -1)).IsNormal);
Assert.IsTrue(!Line2d.NewNonNormal(new Point2d(1, 1), new Vector2d(1, 1)).IsNormal);
// Lineas degeneradas.
Assert.IsTrue(!Line2d.NewNonNormal(new Point2d(1, 1), new Vector2d(0, 0)).IsNormal);
}
// Comprueba el método IsNormal sobre lineas normales.
{
// Caso normal.
Assert.IsTrue(Line2d.NewNormal(new Point2d(1, 1), new Vector2d(10, 0)).IsNormal);
Assert.IsTrue(Line2d.NewNormal(new Point2d(1, 1), new Vector2d(5, 89)).IsNormal);
Assert.IsTrue(Line2d.NewNormal(new Point2d(1, 1), new Vector2d(1, 1)).IsNormal);
// Lineas degeneradas.
Assert.IsTrue(!Line2d.NewNormal(new Point2d(1, 1), new Vector2d(0, 0)).IsNormal);
}
}
public void TestDistance()
{
Func <Line2d, Point2d, bool> test = (line, p) =>
{
double u = line.Project(p);
Point2d pEnPlano = line.Evaluate(u);
Point2d closestPoint;
double d = line.Distance(p, out closestPoint);
Point2d p3 = pEnPlano + line.Normal * d;
bool pEqualsP3 = p.EpsilonEquals(p3);
bool pEnPlanoEqualsClosestPoint = pEnPlano.EpsilonEquals(closestPoint);
return(pEqualsP3 && pEnPlanoEqualsClosestPoint && p.DistanceTo(pEnPlano).EpsilonEquals(Math.Abs(d)));
};
// Comprueba los metodos Project, Evaluate y DistanceTo sobre lineas normalizados.
{
Line2d line = Line2d.NewNormal(new Point2d(50, 0), new Point2d(0, 50));
Assert.IsTrue(test(line, new Point2d(0, 0)));
Assert.IsTrue(test(line, new Point2d(100, 100)));
Assert.IsTrue(test(line, new Point2d(25, 25)));
Assert.IsTrue(line.Distance(new Point2d(0, 0)).EpsilonEquals(-35.355, 1e-3));
Assert.IsTrue(line.Distance(new Point2d(100, 100)).EpsilonEquals(106.066, 1e-3));
Assert.IsTrue(line.Distance(new Point2d(25, 25)).EpsilonEquals(0));
}
// Comprueba los metodos Project, Evaluate y DistanceTo sobre lineas no normalizados.
{
Line2d line = Line2d.NewNonNormal(new Point2d(50, 0), new Point2d(0, 50));
Assert.IsTrue(test(line, new Point2d(0, 0)));
Assert.IsTrue(test(line, new Point2d(100, 100)));
Assert.IsTrue(test(line, new Point2d(25, 25)));
Assert.IsTrue(line.Distance(new Point2d(0, 0)).EpsilonEquals(-35.355, 1e-3));
Assert.IsTrue(line.Distance(new Point2d(100, 100)).EpsilonEquals(106.066, 1e-3));
Assert.IsTrue(line.Distance(new Point2d(25, 25)).EpsilonEquals(0));
}
{
Line2d line = Line2d.NewNormal(new Point2d(0, 5), new Vector2d(1, 1));
Assert.IsTrue(line.Distance(new Point2d(0, 0)).EpsilonEquals(3.535, 1e-3));
Assert.IsTrue(line.Distance(new Point2d(0, 5)).EpsilonEquals(0));
Assert.IsTrue(line.Distance(new Point2d(0, 10)).EpsilonEquals(-3.535, 1e-3));
}
}
public void TestWhichSide()
{
// Comprueba el método WhichSide sobre lineas normalizadas.
{
Line2d line = Line2d.NewNormal(new Point2d(50, 0), new Point2d(0, 50));
Assert.IsTrue(line.WhichSide(new Point2d(0, 0)) == LineSide.Left);
Assert.IsTrue(line.WhichSide(new Point2d(100, 100)) == LineSide.Right);
Assert.IsTrue(line.WhichSide(new Point2d(25, 25)) == LineSide.Middle);
}
// Comprueba el método WhichSide sobre lineas no normalizadas.
{
Line2d line = Line2d.NewNonNormal(new Point2d(50, 0), new Point2d(0, 50));
Assert.IsTrue(line.WhichSide(new Point2d(0, 0)) == LineSide.Left);
Assert.IsTrue(line.WhichSide(new Point2d(100, 100)) == LineSide.Right);
Assert.IsTrue(line.WhichSide(new Point2d(25, 25)) == LineSide.Middle);
}
{
Line2d line = Line2d.NewNormal(new Point2d(0, 5), new Vector2d(1, 1));
Assert.IsTrue(line.WhichSide(new Point2d(0, 0)) == LineSide.Right);
Assert.IsTrue(line.WhichSide(new Point2d(0, 5)) == LineSide.Middle);
Assert.IsTrue(line.WhichSide(new Point2d(0, 10)) == LineSide.Left);
}
}