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-/*************************************************************************
- *
- * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
- *
- * Copyright 2000, 2010 Oracle and/or its affiliates.
- *
- * OpenOffice.org - a multi-platform office productivity suite
- *
- * This file is part of OpenOffice.org.
- *
- * OpenOffice.org is free software: you can redistribute it and/or modify
- * it under the terms of the GNU Lesser General Public License version 3
- * only, as published by the Free Software Foundation.
- *
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- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU Lesser General Public License version 3 for more details
- * (a copy is included in the LICENSE file that accompanied this code).
- *
- * You should have received a copy of the GNU Lesser General Public License
- * version 3 along with OpenOffice.org. If not, see
- * <http://www.openoffice.org/license.html>
- * for a copy of the LGPLv3 License.
- *
- ************************************************************************/
-#ifndef __com_sun_star_geometry_AffineMatrix3D_idl__
-#define __com_sun_star_geometry_AffineMatrix3D_idl__
-
-module com { module sun { module star { module geometry {
-
-/** This structure defines a 3 by 4 affine matrix.<p>
-
- The matrix defined by this structure constitutes an affine mapping
- of a point in 3D to another point in 3D. The last line of a
- complete 4 by 4 matrix is omitted, since it is implicitly assumed
- to be [0,0,0,1].<p>
-
- An affine mapping, as performed by this matrix, can be written out
- as follows, where <code>xs, ys</code> and <code>zs</code> are the source, and
- <code>xd, yd</code> and <code>zd</code> the corresponding result coordinates:
-
- <code>
- xd = m00*xs + m01*ys + m02*zs + m03;
- yd = m10*xs + m11*ys + m12*zs + m13;
- zd = m20*xs + m21*ys + m22*zs + m23;
- </code><p>
-
- Thus, in common matrix language, with M being the
- <type>AffineMatrix3D</type> and vs=[xs,ys,zs]^T, vd=[xd,yd,zd]^T two 3D
- 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
- AffineMatrix3D, 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. For 3D coordinates
- there is also a projection from 3D to 2D device coordinates needed.
- Only then the total transformation matrix (including projection to 2D)
- and the device resolution determine the actual measurement unit in 3D.<p>
-
- @since OOo 2.0
- */
-struct AffineMatrix3D
-{
- /// The top, left matrix entry.
- double m00;
-
- /// The top, left middle matrix entry.
- double m01;
-
- /// The top, right middle matrix entry.
- double m02;
-
- /// The top, right matrix entry.
- double m03;
-
- /// The middle, left matrix entry.
- double m10;
-
- /// The middle, middle left matrix entry.
- double m11;
-
- /// The middle, middle right matrix entry.
- double m12;
-
- /// The middle, right matrix entry.
- double m13;
-
- /// The bottom, left matrix entry.
- double m20;
-
- /// The bottom, middle left matrix entry.
- double m21;
-
- /// The bottom, middle right matrix entry.
- double m22;
-
- /// The bottom, right matrix entry.
- double m23;
-};
-
-}; }; }; };
-
-#endif