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-/*************************************************************************
- *
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- *
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- *
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- * <http://www.openoffice.org/license.html>
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- ************************************************************************/
-#ifndef __com_sun_star_geometry_AffineMatrix2D_idl__
-#define __com_sun_star_geometry_AffineMatrix2D_idl__
-
-module com { module sun { module star { module geometry {
-
-/** This structure defines a 2 by 3 affine matrix.<p>
-
- The matrix defined by this structure constitutes an affine mapping
- of a point in 2D to another point in 2D. The last line of a
- complete 3 by 3 matrix is omitted, since it is implicitly assumed
- to be [0,0,1].<p>
-
- An affine mapping, as performed by this matrix, can be written out
- as follows, where <code>xs</code> and <code>ys</code> are the source, and
- <code>xd</code> and <code>yd</code> the corresponding result coordinates:
-
- <code>
- xd = m00*xs + m01*ys + m02;
- yd = m10*xs + m11*ys + m12;
- </code><p>
-
- Thus, in common matrix language, with M being the
- <type>AffineMatrix2D</type> and vs=[xs,ys]^T, vd=[xd,yd]^T two 2D
- vectors, the affine transformation is written as
- vd=M*vs. Concatenation of transformations amounts to
- multiplication of matrices, i.e. a translation, given by T,
- followed by a rotation, given by R, is expressed as vd=R*(T*vs) in
- the above notation. Since matrix multiplication is associative,
- this can be shortened to vd=(R*T)*vs=M'*vs. Therefore, a set of
- consecutive transformations can be accumulated into a single
- AffineMatrix2D, by multiplying the current transformation with the
- additional transformation from the left.<p>
-
- 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.<p>
-
- @since OOo 2.0
- */
-published struct AffineMatrix2D
-{
- /// The top, left matrix entry.
- double m00;
-
- /// The top, middle matrix entry.
- double m01;
-
- /// The top, right matrix entry.
- double m02;
-
- /// The bottom, left matrix entry.
- double m10;
-
- /// The bottom, middle matrix entry.
- double m11;
-
- /// The bottom, right matrix entry.
- double m12;
-};
-
-}; }; }; };
-
-#endif