Reference TMatrix2x3

Declared in Codebot.Geometry.pas on line 308

TMatrix2x3 is a two dimensional affine matrix, which can rotate, scale, skew, and translate. A point is transformed as (X*A + Y*C + TX, X*B + Y*D + TY), the same layout used by vector graphics libraries.

A * B gives the matrix which applies B first and then A.

  TMatrix2x3 = record
  public
    { Create a matrix from its fields }
    class function Create(A, B, C, D, TX, TY: Float): TMatrix2x3; static; inline;
    { Create from fields given a row at a time, as they are written on paper }
    class function CreateTranspose(A, C, TX, B, D, TY: Float): TMatrix2x3; static; inline;
    { Create a translation }
    class function CreateTranslate(const V: TVec2): TMatrix2x3; static;
    { Create a scale }
    class function CreateScale(X, Y: Float): TMatrix2x3; static;
    { Create a rotation }
    class function CreateRotate(Radians: Float): TMatrix2x3; static;
    { Create a rotation followed by a translation }
    class function CreateRigid(const V: TVec2; Radians: Float): TMatrix2x3; static;
    { A two dimensional matrix placed in the XY plane of a 4x4 matrix }
    class operator Implicit(const M: TMatrix2x3): TMatrix4x4;
    { Reset to the identity matrix }
    procedure Identity;
    { Returns the inverse of the matrix }
    function Inverse: TMatrix2x3;
    { The inverse of a matrix which only rotates and translates }
    function RigidInverse: TMatrix2x3;
    { Transform a point, which is moved by the translation }
    function Transform(const V: TVec2): TVec2; inline;
    { Transform a direction, which is not moved by the translation }
    function TransformVector(const V: TVec2): TVec2; inline;
    A: Float;
    B: Float;
    C: Float;
    D: Float;
    TX: Float;
    TY: Float;
    V: array[0..5] of Float;
  end;

Reference TMatrix2x3

See also