LibreOffice LibreOffice 7.2 SDK API Reference
Matrix2D Struct Reference

This structure defines a 2 by 2 matrix. More...

`import"Matrix2D.idl";`

## Public Attributes

double m00
The top, left matrix entry. More...

double m01
The top, right matrix entry. More...

double m10
The bottom, left matrix entry. More...

double m11
The bottom, right matrix entry. More...

## Detailed Description

This structure defines a 2 by 2 matrix.

This constitutes a linear mapping of a point in 2D to another point in 2D.

The matrix defined by this structure constitutes a linear mapping of a point in 2D to another point in 2D. In contrast to the com.sun.star.geometry.AffineMatrix2D, this matrix does not include any translational components.

A linear mapping, as performed by this matrix, can be written out as follows, where `xs` and `ys` are the source, and `xd` and `yd` the corresponding result coordinates:

` xd = m00*xs + m01*ys; yd = m10*xs + m11*ys; `

Thus, in common matrix language, with M being the Matrix2D and vs=[xs,ys]^T, vd=[xd,yd]^T two 2D vectors, the linear mapping is written as vd=M*vs. Concatenation of transformations amounts to multiplication of matrices, i.e. a scaling, given by S, followed by a rotation, given by R, is expressed as vd=R*(S*vs) in the above notation. Since matrix multiplication is associative, this can be shortened to vd=(R*S)*vs=M'*vs. Therefore, a set of consecutive transformations can be accumulated into a single Matrix2D, by multiplying the current transformation with the additional transformation from the left.

Due to this transformational approach, all geometry data types are points in abstract integer or real coordinate spaces, without any physical dimensions attached to them. This physical measurement units are typically only added when using these data types to render something onto a physical output device, like a screen or a printer. Then, the total transformation matrix and the device resolution determine the actual measurement unit.

Since
OOo 2.0

## ◆ m00

 double m00

The top, left matrix entry.

## ◆ m01

 double m01

The top, right matrix entry.

## ◆ m10

 double m10

The bottom, left matrix entry.

## ◆ m11

 double m11

The bottom, right matrix entry.

The documentation for this struct was generated from the following file: