/// <summary>
/// Creates a transformation matrix that transforms coordinates the viewport of given size to inside the given rectangle. The bottom-left of the rectangle is assumed to be the origin.
/// </summary>
/// <param name="rectangle"></param>
/// <param name="width"></param>
/// <param name="height"></param>
/// <param name="invertX"></param>
/// <param name="invertY"></param>
/// <returns></returns>
public static Matrix2D ToRectangle(RectangleF2D rectangle, double width, double height, bool invertX, bool invertY)
{
// scale to match the width/height that was given.
var scale = Matrix2D.Scale(rectangle.Width / width, rectangle.Height / height);
// rotate to align with rectangle.
var rotate = Matrix2D.Rotate(((Radian)rectangle.Angle).Value);
// translate to the bottom-left of the rectangle.
var translate = Matrix2D.Translate(rectangle.BottomLeft[0], rectangle.BottomLeft[1]);
Matrix2D invert;
if (!invertX && !invertY)
{ // everything normal.
invert = Matrix2D.Scale(1, 1);
}
else if (!invertX && invertY)
{ // only y inverted.
invert = Matrix2D.Scale(1, -1);
}
else if (invertX && !invertY)
{ // only x inverted.
invert = Matrix2D.Scale(-1, 1);
}
else
{ // both inverted.
invert = Matrix2D.Scale(-1, -1);
}
return(scale * rotate * translate * invert);
}
/// <summary>
/// Creates a tranformation matrix that transforms coordinates from inside the given rectangle to a viewport of given size. The bottom-left of the rectangle is assumed to be the origin.
/// </summary>
/// <param name="rectangle"></param>
/// <param name="width"></param>
/// <param name="height"></param>
/// <param name="invertX"></param>
/// <param name="invertY"></param>
/// <returns></returns>
public static Matrix2D FromRectangle(RectangleF2D rectangle, double width, double height, bool invertX, bool invertY)
{
Matrix2D invert;
if (!invertX && !invertY)
{ // everything normal.
invert = Matrix2D.Scale(1, 1);
}
else if (!invertX && invertY)
{ // only y inverted.
invert = Matrix2D.Scale(1, -1);
}
else if (invertX && !invertY)
{ // only x inverted.
invert = Matrix2D.Scale(-1, 1);
}
else
{ // both inverted.
invert = Matrix2D.Scale(-1, -1);
}
// translate the bottom-left of the rectangle to the origin.
var translate = Matrix2D.Translate(-rectangle.BottomLeft[0], -rectangle.BottomLeft[1]);
// rotate the rectangle to align with x-y axis.
var rotate = Matrix2D.Rotate(-((Radian)rectangle.Angle).Value);
// scale to match the width/height that was given.
var scale = Matrix2D.Scale(width / rectangle.Width, height / rectangle.Height);
return(invert * translate * rotate * scale);
}