/// <summary>
/// Onko piste <c>p</c> pisteiden <c>a</c>, <c>b</c> ja <c>c</c> määräämän kolmion sisällä.
/// </summary>
/// <param name="p"></param>
/// <param name="a"></param>
/// <param name="b"></param>
/// <param name="c"></param>
/// <returns></returns>
protected static bool IsInsideTriangle(Vector p, Vector a, Vector b, Vector c)
{
Vector v0 = c - a;
Vector v1 = b - a;
Vector v2 = p - a;
// Dot products between each side
double dot00 = Vector.DotProduct(v0, v0);
double dot01 = Vector.DotProduct(v0, v1);
double dot02 = Vector.DotProduct(v0, v2);
double dot11 = Vector.DotProduct(v1, v1);
double dot12 = Vector.DotProduct(v1, v2);
// Barycentric coordinates
double invDenom = 1 / (dot00 * dot11 - dot01 * dot01);
double u = (dot11 * dot02 - dot01 * dot12) * invDenom;
double v = (dot00 * dot12 - dot01 * dot02) * invDenom;
return((u >= 0) && (v >= 0) && (u + v < 1));
}
public double ScalarProjection(Vector unitVector)
{
return(Vector.DotProduct(this, unitVector) / unitVector.MagnitudeSquared);
}