public static Matrix CreateProjectionMatrix(VectorR3 n)
{
return(new Matrix(
new Vector(1 - n.X * n.X, -n.X * n.Y, -n.X * n.Z),
new Vector(-n.Y * n.X, 1 - n.Y * n.Y, -n.Y * n.Z),
new Vector(-n.Z * n.X, -n.Z * n.Y, 1 - n.Z * n.Z)));
}
public static Matrix CreateReflection(VectorR3 n)
{
return(new Matrix(
new Vector(1 - 2 * n.X * n.X, -2 * n.X * n.Y, -2 * n.X * n.Z),
new Vector(-2 * n.Y * n.X, 1 - 2 * n.Y * n.Y, -2 * n.Y * n.Z),
new Vector(-2 * n.Z * n.X, -2 * n.Z * n.Y, 1 - 2 * n.Z * n.Z)
));
}
private static Matrix CreateRotationMatrixAboutVectorRads(double rads, VectorR3 about)
{
var cosineOfAngle = Cos(rads);
var differenceFromOne = 1 - cosineOfAngle;
var sineOfAngle = Sin(rads);
return(new Matrix(
new Vector(
about.X * about.X * differenceFromOne + cosineOfAngle,
about.X * about.Y * differenceFromOne - about.Z * sineOfAngle,
about.X * about.Z * differenceFromOne + about.Y * sineOfAngle),
new Vector(
about.X * about.Y * differenceFromOne + about.Z * sineOfAngle,
about.Y * about.Y * differenceFromOne + cosineOfAngle,
about.Y * about.Z * differenceFromOne - about.X * sineOfAngle),
new Vector(
about.X * about.Z * differenceFromOne - about.Y * sineOfAngle,
about.Z * about.Y * differenceFromOne + about.X * sineOfAngle,
about.Z * about.Z * differenceFromOne + cosineOfAngle)));
}
public static Matrix CreateRotationMatrixAboutVectorDegs(double deg, VectorR3 about)
{
return(CreateRotationMatrixAboutVectorRads(deg * PI / 180, about));
}