Matrix Class Documentation

class Matrix : SystemIDisposable

Namespace:Datalogics::PDFL

Inherits from:
SystemIDisposable

Detailed Description

A transformation matrix in a PDF file is specified by six numbers.

The matrix is usually in the form of an array containing the six elements [a b c d h v].

A translation is specified as [ 1 0 0 1 tx ty], where tx and ty are the distance to translate from the origin of the coordinate system in the horizontal and vertical dimension, respectively.

A scaling is obtained by [sx 0 0 sy 0 0]. This scales the coordinates so that 1 unit in the horizontal and vertical dimension of the new coordinate system is the same size as sx and sy units, respectively, as in the previous coordinate system.

A rotation is produced by [ cos T sin T -sin T cos T 0 0 ], which has the effect of rotating the coordinate system axes by an angle T (degrees) counterclockwise.

This material indicates that the matrix specifying a transformation is premultiplied with the current transformation matrix, i.e.,

M' = Mt * M

The implementation of the Scale, Rotate, and Translate convenience functions of Matrix reflect the same order of operations, so that they are consistent with the PDF Reference manual. They are also consistent with the scale, rotate, and translate operators in PostScript, from which the coordinate system model in PDF is derived.

Referenced by

ContainerContentDrawParamsElementFormGroupImageMatrixPagePathPointPostScriptQuadRectShadingTextTextRun

Uses types

Matrix

Constructor & Destructor Documentation

Matrix

Matrix()

the default constructor creates a transformation matrix to translate the rectangle 1 element (1/72nd of an inch) from the origin.

Matrix

Matrix(double na, double nb, double nc, double nd, double nh, double nv)

Parameters

na: double

The horizontal scaling component (a).

nb: double

The vertical shearing component (b).

nc: double

The horizontal shearing component (c).

nd: double

The vertical scaling component (d).

nh: double

The horizontal translation component (h).

nv: double

The vertical translation component (v).

Construct a Matrix with the specified component values.

Property Documentation

A

double A[get, set]

The horizontal scaling component of the matrix.

B

double B[get, set]

The vertical shearing component of the matrix.

C

double C[get, set]

The horizontal shearing component of the matrix.

D

double D[get, set]

The vertical scaling component of the matrix.

H

double H[get, set]

The horizontal translation component of the matrix.

V

double V[get, set]

The vertical translation component of the matrix.

Member Function Documentation

Concat

Matrix Concat(Matrix Mt)

Parameters

Mt: Matrix

The matrix to concatenate (premultiply) onto this matrix.

Returns:

Matrix

the transformed matrix

Concatenate a matrix onto an existing matrix.

The product returned is:

M' = Mt * M

This corresponds to the action of the cm operator.

Dispose

void Dispose()

Returns:

void

Equals

override bool Equals(object obj)

Parameters

obj: object

Returns:

override bool

Invert

Matrix Invert()

Returns:

Matrix

The inverted matrix.

Invert the Matrix object and return a new Matrix object.

Exceptions

Exception
—

if the matrix is not invertible (determinant is near zero).

Rotate

Matrix Rotate(double T)

Parameters

T: double

The rotation, counterclockwise

Returns:

Matrix

the result [cos T sin T -sin T 0 0] * M

Rotate a matrix by T degrees counterclockwise units.

Rotation is done by creating the matrix [ cos T sin T -sin T cos T 0 0 ], and calling the Concat function with that matrix.

Scale

Matrix Scale(double sx, double sy)

Parameters

sx: double

X scaling factor

sy: double

Y scaling factor

Returns:

Matrix

the result [sx 0 0 sy 0 0] * M

Scale a matrix by (sx,sy) units.

Scaling is done by creating the matrix [sx 0 0 sy 0 0], and calling the Concat function with that matrix.

ToString

override string ToString()

Returns:

override string

A string describing this Matrix and its component values.

Returns a string representation of this Matrix.

The returned string contains all six matrix components (a, b, c, d, h, v) in a human-readable format.

Translate

Matrix Translate(double tx, double ty)

Parameters

tx: double

X translation distance

ty: double

Y translation distance

Returns:

Matrix

the result [1 0 0 1 tx ty] * M

Translate a matrix by (tx,ty) units.

Translation is done by creating the matrix [ 1 0 0 1 tx ty ], and calling the Concat function with that matrix.