Calculates a 2x3 transformation matrix that maps the old coordinates to the new coordinates.

Parameters

• old_coords: A list of four elements representing the old coordinates [x1_old, x2_old, y1_old, y2_old].
• new_coords: A list of four elements representing the new coordinates [x1_new, x2_new, y1_new, y2_new].

Returns

• A list of six elements representing the transformation matrix [a, b, c, d, e, f] where:
  • a is the scaling factor in the x direction multiplied by the cosine of the rotation angle.
  • b is the scaling factor in the x direction multiplied by the sine of the rotation angle.
  • c is the negative scaling factor in the y direction multiplied by the sine of the rotation angle.
  • d is the scaling factor in the y direction multiplied by the cosine of the rotation angle.
  • e is the translation in the x direction.
  • f is the translation in the y direction.

Example

iex> Transform.calculate_transform_matrix([0, 2, 0, 2], [1, 3, 1, 3])
[1.0, 0.0, 0.0, 1.0, 1.0, 1.0]