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_AffineMatrix3D_idl__ 28#define __com_sun_star_geometry_AffineMatrix3D_idl__ 29 30module com { module sun { module star { module geometry { 31 32/** This structure defines a 3 by 4 affine matrix.<p> 33 34 The matrix defined by this structure constitutes an affine mapping 35 of a point in 3D to another point in 3D. The last line of a 36 complete 4 by 4 matrix is omitted, since it is implicitely assumed 37 to be [0,0,0,1].<p> 38 39 An affine mapping, as performed by this matrix, can be written out 40 as follows, where <code>xs, ys</code> and <code>zs</code> are the source, and 41 <code>xd, yd</code> and <code>zd</code> the corresponding result coordinates: 42 43 <code> 44 xd = m00*xs + m01*ys + m02*zs + m03; 45 yd = m10*xs + m11*ys + m12*zs + m13; 46 zd = m20*xs + m21*ys + m22*zs + m23; 47 </code><p> 48 49 Thus, in common matrix language, with M being the 50 <type>AffineMatrix3D</type> and vs=[xs,ys,zs]^T, vd=[xd,yd,zd]^T two 3D 51 vectors, the affine transformation is written as 52 vd=M*vs. Concatenation of transformations amounts to 53 multiplication of matrices, i.e. a translation, given by T, 54 followed by a rotation, given by R, is expressed as vd=R*(T*vs) in 55 the above notation. Since matrix multiplication is associative, 56 this can be shortened to vd=(R*T)*vs=M'*vs. Therefore, a set of 57 consecutive transformations can be accumulated into a single 58 AffineMatrix3D, by multiplying the current transformation with the 59 additional transformation from the left.<p> 60 61 Due to this transformational approach, all geometry data types are 62 points in abstract integer or real coordinate spaces, without any 63 physical dimensions attached to them. This physical measurement 64 units are typically only added when using these data types to 65 render something onto a physical output device. For 3D coordinates 66 there is also a projection from 3D to 2D device coordiantes needed. 67 Only then the total transformation matrix (oncluding projection to 2D) 68 and the device resolution determine the actual measurement unit in 3D.<p> 69 70 @since OOo 2.0 71 */ 72struct AffineMatrix3D 73{ 74 /// The top, left matrix entry. 75 double m00; 76 77 /// The top, left middle matrix entry. 78 double m01; 79 80 /// The top, right middle matrix entry. 81 double m02; 82 83 /// The top, right matrix entry. 84 double m03; 85 86 /// The middle, left matrix entry. 87 double m10; 88 89 /// The middle, middle left matrix entry. 90 double m11; 91 92 /// The middle, middle right matrix entry. 93 double m12; 94 95 /// The middle, right matrix entry. 96 double m13; 97 98 /// The bottom, left matrix entry. 99 double m20; 100 101 /// The bottom, middle left matrix entry. 102 double m21; 103 104 /// The bottom, middle right matrix entry. 105 double m22; 106 107 /// The bottom, right matrix entry. 108 double m23; 109}; 110 111}; }; }; }; 112 113#endif 114