1/************************************************************************* 2 * 3 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. 4 * 5 * Copyright 2000, 2010 Oracle and/or its affiliates. 6 * 7 * OpenOffice.org - a multi-platform office productivity suite 8 * 9 * This file is part of OpenOffice.org. 10 * 11 * OpenOffice.org is free software: you can redistribute it and/or modify 12 * it under the terms of the GNU Lesser General Public License version 3 13 * only, as published by the Free Software Foundation. 14 * 15 * OpenOffice.org is distributed in the hope that it will be useful, 16 * but WITHOUT ANY WARRANTY; without even the implied warranty of 17 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 18 * GNU Lesser General Public License version 3 for more details 19 * (a copy is included in the LICENSE file that accompanied this code). 20 * 21 * You should have received a copy of the GNU Lesser General Public License 22 * version 3 along with OpenOffice.org. If not, see 23 * <http://www.openoffice.org/license.html> 24 * for a copy of the LGPLv3 License. 25 * 26 ************************************************************************/ 27#ifndef __com_sun_star_geometry_Matrix2D_idl__ 28#define __com_sun_star_geometry_Matrix2D_idl__ 29 30module com { module sun { module star { module geometry { 31 32/** This structure defines a 2 by 2 matrix.<p> 33 34 This constitutes a linear mapping of a point in 2D to another 35 point in 2D.<p> 36 37 The matrix defined by this structure constitutes a linear 38 mapping of a point in 2D to another point in 2D. In contrast to 39 the <type>com.sun.star.geometry.AffineMatrix2D</type>, this 40 matrix does not include any translational components.<p> 41 42 A linear mapping, as performed by this matrix, can be written out 43 as follows, where <code>xs</code> and <code>ys</code> are the source, and 44 <code>xd</code> and <code>yd</code> the corresponding result coordinates: 45 46 <code> 47 xd = m00*xs + m01*ys; 48 yd = m10*xs + m11*ys; 49 </code><p> 50 51 Thus, in common matrix language, with M being the 52 <type>Matrix2D</type> and vs=[xs,ys]^T, vd=[xd,yd]^T two 2D 53 vectors, the linear mapping is written as 54 vd=M*vs. Concatenation of transformations amounts to 55 multiplication of matrices, i.e. a scaling, given by S, 56 followed by a rotation, given by R, is expressed as vd=R*(S*vs) in 57 the above notation. Since matrix multiplication is associative, 58 this can be shortened to vd=(R*S)*vs=M'*vs. Therefore, a set of 59 consecutive transformations can be accumulated into a single 60 Matrix2D, by multiplying the current transformation with the 61 additional transformation from the left.<p> 62 63 Due to this transformational approach, all geometry data types are 64 points in abstract integer or real coordinate spaces, without any 65 physical dimensions attached to them. This physical measurement 66 units are typically only added when using these data types to 67 render something onto a physical output device, like a screen or a 68 printer. Then, the total transformation matrix and the device 69 resolution determine the actual measurement unit.<p> 70 71 @since OOo 2.0 72 */ 73published struct Matrix2D 74{ 75 /// The top, left matrix entry. 76 double m00; 77 78 /// The top, right matrix entry. 79 double m01; 80 81 /// The bottom, left matrix entry. 82 double m10; 83 84 /// The bottom, right matrix entry. 85 double m11; 86}; 87 88}; }; }; }; 89 90#endif 91