The Affine class represents an affine transform. An affine transform performs a linear mapping from 2D/3D coordinates to other 2D/3D coordinates while preserving the "straightness" and "parallelness" of lines. Affine transformations can be constructed using sequences rotations, translations, scales, and shears.

Note: application developers should not normally use this class directly, but instead use the specific Translate, Scale, Rotate, or Shear transforms instead.

Such a coordinate transformation can be represented by a 3 row by 4 column matrix. This matrix transforms source coordinates (x,y,z) into destination coordinates (x',y',z') by considering them to be a column vector and multiplying the coordinate vector by the matrix according to the following process:

      [ x']   [  mxx  mxy  mxz  tx  ] [ x ]   [ mxx * x + mxy * y + mxz * z + tx ]
      [ y'] = [  myx  myy  myz  ty  ] [ y ] = [ myx * x + myy * y + myz * z + ty ]
      [ z']   [  mzx  mzy  mzz  tz  ] [ z ]   [ mzx * x + mzy * y + mzz * z + tz ]
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