public static AffineTransform2 operator *(AffineTransform2 T1, AffineTransform2 T2)
{
AffineTransform2 S = new AffineTransform2();
S.mat = MatrixProduct(T1.mat, T2.mat);
return(S);
}
public static AffineTransform2 PointAndVectorsToPointAndVectors(
Point p1, Vector v1, Vector v2,
Point q1, Vector w1, Vector w2)
{
AffineTransform2 Trans1 = AffineTransform2.Translate(p1, new Point(0, 0));
LinearTransform2 T = LinearTransform2.VectorsToVectors(v1, v2, w1, w2);
AffineTransform2 Trans2 = AffineTransform2.Translate(new Point(0, 0), q1);
AffineTransform2 S = new AffineTransform2();
S.mat = T.Matrix();
return(Trans2 * S * Trans1);
/*
* double[,] linmat = T.Matrix();
* for (int i = 0; i < 2; i++)
* {
* for (int j = 0; j < 2; j++)
* {
* W.mat[i, j] = linmat[i, j];
* }
* }
* return W;
*/
}
public static AffineTransform2 Translate(Vector v)
{
AffineTransform2 T = new AffineTransform2();
T.mat[0, 2] = v.X;
T.mat[1, 2] = v.Y;
return(T);
}
public AffineTransform2 InverseTransform()
{
double[,] m = MatrixInverse(mat);
AffineTransform2 T = new AffineTransform2();
T.mat = m;
return(T);
}
public static AffineTransform2 RotateAboutPoint(Point p, double angle)
{
Point origin = new Point();
AffineTransform2 T1 = Translate(origin - p);
AffineTransform2 T2 = RotateXY(angle);
AffineTransform2 T3 = Translate(p - origin);
return(T3 * T2 * T1);
}
public static AffineTransform2 AxisScale(double xamount, double yamount)
{
AffineTransform2 T = new AffineTransform2();
T.mat[0, 0] = xamount;
T.mat[1, 1] = yamount;
T.mat[2, 2] = 1.0d;
return(T);
}
public static AffineTransform2 PointsAndVectorToPointsAndVector(
Point p1, Point p2, Vector v1,
Point q1, Point q2, Vector w1)
{
Vector v2 = p2 - p1;
Vector w2 = q2 - q1;
return(AffineTransform2.PointAndVectorsToPointAndVectors(p1, v1, v2, q1, w1, w2));
}
public static ProjectiveTransform2 AxisScale(double xamount, double yamount)
{
AffineTransform2 T = AffineTransform2.AxisScale(xamount, yamount);
ProjectiveTransform2 T2 = new ProjectiveTransform2();
T2.mat = T.mat;
T.mat = null;
return(T2);
}
public static ProjectiveTransform2 Translate(Point p, Point q)
{
AffineTransform2 T = AffineTransform2.Translate(p, q);
ProjectiveTransform2 T2 = new ProjectiveTransform2();
T2.mat = T.mat;
T.mat = null;
return(T2);
}
public static ProjectiveTransform2 Translate(Vector v)
{
AffineTransform2 T = AffineTransform2.Translate(v);
ProjectiveTransform2 T2 = new ProjectiveTransform2();
T2.mat = T.mat;
T.mat = null;
return(T2);
}
public static ProjectiveTransform2 RotateXY(double angle)
{
AffineTransform2 T = AffineTransform2.RotateXY(angle);
ProjectiveTransform2 T2 = new ProjectiveTransform2();
T2.mat = T.mat;
T.mat = null;
return(T2);
}
public static AffineTransform2 RotateXY(double angle)
{
AffineTransform2 T = new AffineTransform2();
T.mat[0, 0] = Math.Cos(angle);
T.mat[1, 1] = T.mat[0, 0];
T.mat[1, 0] = Math.Sin(angle);
T.mat[0, 1] = -T.mat[1, 0];
return(T);
}
public static AffineTransform2 PointsToPoints(
Point p1, Point p2, Point p3,
Point q1, Point q2, Point q3)
{
Vector v1 = p2 - p1;
Vector v2 = p3 - p1;
Vector w1 = q2 - q1;
Vector w2 = q3 - q1;
return(AffineTransform2.PointAndVectorsToPointAndVectors(p1, v1, v2, q1, w1, w2));
}