/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ /* * This file is part of the LibreOffice project . * * This Source Code Form is subject to the terms of the Mozilla Public * License , v . 2 . 0 . If a copy of the MPL was not distributed with this * file , You can obtain one at http : //mozilla.org/MPL/2.0/. * * This file incorporates work covered by the following license notice : * * Licensed to the Apache Software Foundation ( ASF ) under one or more * contributor license agreements . See the NOTICE file distributed * with this work for additional information regarding copyright * ownership . The ASF licenses this file to you under the Apache * License , Version 2 . 0 ( the " License " ) ; you may not use this file * except in compliance with the License . You may obtain a copy of * the License at http : //www.apache.org/licenses/LICENSE-2.0 . /** This structure defines a 2 by 2 matrix.<p> This constitutes a linear mapping of a point in 2 D to another point in 2 D . < p > The matrix defined by this structure constitutes a linear mapping of a point in 2 D to another point in 2 D . In contrast to the com . sun . star . geometry . AffineMatrix2D , this matrix does not include any translational components . < p > A linear 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 ; yd = m10 * xs + m11 * ys ; < / code > < p > Thus , in common matrix language , with M being the Matrix2D and vs = [ xs , ys ] ^ T , vd = [ xd , yd ] ^ T two 2 D 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 . < 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 struct Matrix2D/// The top, left matrix entry. double m00;/// The top, right matrix entry. double m01;/// The bottom, left matrix entry. double m10;/// The bottom, right matrix entry. double m11;/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
Messung V0.5 in Prozent C=88 H=100 G=94
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