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/*
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* Copyright (c) 2005-2009 Nokia Corporation and/or its subsidiary(-ies).
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* All rights reserved.
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* This component and the accompanying materials are made available
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* under the terms of "Eclipse Public License v1.0"
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* which accompanies this distribution, and is available
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* at the URL "http://www.eclipse.org/legal/epl-v10.html".
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*
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* Initial Contributors:
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* Nokia Corporation - initial contribution.
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*
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* Contributors:
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*
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* Description:
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*
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*/
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package com.nokia.microedition.m2g;
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import org.w3c.dom.svg.*;
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import org.w3c.dom.DOMException;
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/**
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* This interface represents an "SVGMatrix" datatype, identified by an affine transform.
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* It can be used to read and modify the values of transform attribute as per SVG specification.
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*
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* The transformation can be represented using matrix math on a 3x3 array.
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* Given (x,y), the transformation (x',y') can be found by:
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* [ x'] [ m00 m01 m02 ] [ x ] [ m00*x + m01*y + m02 ]
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* [ y'] = [ m10 m11 m12 ] [ y ] = [ m10*x + m11*y + m12 ]
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* [ 1 ] [ 0 0 1 ] [ 1 ] [ 1 ]
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*
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* The bottom row of the matrix is constant, so a transform can be uniquely
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* represented by "[[m00, m01, m02], [m10, m11, m12]]".
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*/
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public class M2GSVGMatrix implements SVGMatrix
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{
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//--------------------------------------------------
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// STATIC CONSTANTS
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//--------------------------------------------------
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/* Optimization: static finals changed to local variables
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static private final String INVALID_INDEX_ESTR =
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"The index is invalid.";
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static private final String DET_IS_ZERO_ESTR =
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"The determinant of this matrix is zero.";
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*/
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static final int ARRAY_SIZE = 6;
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// Array index
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static private final int M00 = 0;
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static private final int M10 = 1;
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static private final int M01 = 2;
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static private final int M11 = 3;
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static private final int M02 = 4;
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static private final int M12 = 5;
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//--------------------------------------------------
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// VARIABLES
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//--------------------------------------------------
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private float iComponents[];
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//--------------------------------------------------
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// METHODS
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//--------------------------------------------------
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/**
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* Construct a matrix with the following components:
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* <pre>
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* [1 0 0]
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* [0 1 0]
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* </pre>
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*/
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protected M2GSVGMatrix()
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{
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iComponents = new float[ARRAY_SIZE];
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iComponents[M00] = iComponents[M11] = 1;
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}
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/**
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/**
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* Construct a matrix with the following components:
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* <pre>
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* [aM00 aM01 aM02]
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* [aM10 aM11 aM12]
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* </pre>
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* @param aM00 the x scaling component
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* @param aM10 the y shearing component
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* @param aM01 the x shearing component
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* @param aM11 the y scaling component
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* @param aM02 the x translation component
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* @param aM12 the y translation component
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*/
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protected M2GSVGMatrix(float aM00, float aM10, float aM01,
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float aM11, float aM02, float aM12)
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{
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iComponents = new float[ARRAY_SIZE];
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iComponents[M00] = aM00;
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iComponents[M01] = aM01;
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iComponents[M02] = aM02;
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iComponents[M10] = aM10;
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iComponents[M11] = aM11;
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iComponents[M12] = aM12;
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}
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/**
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* Constructor
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* Create a new matrix by coping the given one.
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* @param aMatrix the matrix to copy
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* @throws NullPointerException if aMatrix is null
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* @throws DOMException if index sizes are not same
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*/
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protected M2GSVGMatrix(M2GSVGMatrix aMatrix)
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{
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if (aMatrix == null)
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{
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throw new NullPointerException();
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}
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iComponents = new float[aMatrix.iComponents.length];
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for (int index = 0; index < iComponents.length; index++)
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{
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iComponents[index] = aMatrix.iComponents[index];
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}
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}
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/**
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* @see org.w3c.dom.svg.SVGMatrix#getComponent()
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*/
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public float getComponent(int index) throws DOMException
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{
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if ((index < 0) || (index >= iComponents.length))
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{
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throw new DOMException(
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DOMException.INDEX_SIZE_ERR,
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/*SF*/"The index is invalid."/*SF*/);
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}
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return iComponents[index];
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}
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/**
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* Return the matrix of components used in this transform. The resulting
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* values are:
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* <pre>
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* [array[0] array[2] array[4]]
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* [array[1] array[3] array[5]]
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* </pre>
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* @return array that contains the matrix components.
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*/
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float[] getComponents()
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{
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return iComponents;
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}
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/**
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* Get the matrix of components used in this transform. The resulting
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* values are:
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* <pre>
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* [aComponents[0] aComponents[2] aComponents[4]]
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* [aComponents[1] aComponents[3] aComponents[5]]
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* </pre>
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* @param aComponents Float array for matrix components
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*/
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void getComponentsToArray(float[] aComponents)
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{
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if (aComponents == null)
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{
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return;
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}
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for (int index = 0; index < aComponents.length; index++)
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{
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aComponents[index] = iComponents[index];
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}
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}
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/**
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* Return the determinant of this transform matrix. If the determinant is
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* non-zero, the transform is invertible.
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* The determinant is calculated as:
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* <pre>
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* [m00 m01 m02]
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* [m10 m11 m12] = m00 * m11 - m01 * m10
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* [ 0 0 1 ]
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* </pre>
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* @return the determinant
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*/
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public float getDeterminant()
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{
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return ((iComponents[M00] * iComponents[M11]) -
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(iComponents[M01] * iComponents[M10]));
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}
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/**
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* The inverse is calculated as:
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* <pre>
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* [m00 m01 m02]
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* M= [m10 m11 m12]
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* [ 0 0 1 ]
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*
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* 1 [ m11/det -m01/det (m01*m12-m02*m11)/det]
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* inverse(M)= --- x adjoint(M) = [-m10/det m00/det (m10*m02-m00*m12)/det]
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* det [ 0 0 1 ]
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* </pre>
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* @see org.w3c.dom.svg.SVGMatrix#inverse()
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*/
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public SVGMatrix inverse() throws SVGException
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{
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// The inversion is useful for undoing transformations.
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float det = getDeterminant();
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if (det == 0)
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{
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throw new SVGException(
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SVGException.SVG_MATRIX_NOT_INVERTABLE,
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/*SF*/"The determinant of this matrix is zero."/*SF*/);
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}
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return new M2GSVGMatrix(
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iComponents[M11] / det, // iMtx[M00]
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(-iComponents[M10]) / det, // iMtx[M10]
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(-iComponents[M01]) / det, // iMtx[M01]
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iComponents[M00] / det, // iMtx[M11]
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((iComponents[M01] * iComponents[M12]) - (iComponents[M02] * iComponents[M11])) / det, // iMtx[M02]
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((iComponents[M10] * iComponents[M02]) - (iComponents[M00] * iComponents[M12])) / det); // iMtx[M12]
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}
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/**
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* The multiply is calculated as:
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* <pre>
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* [a00 a01 a02] [b00 b01 b02]
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* this=[a10 a11 a12] B=[b10 b11 b12]
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* [ 0 0 1 ] [ 0 0 1 ]
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*
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* [(a00*b00+a01*b10) (a00*b01+a01*b11) (a00*b02+a01*b12+a02)]
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* [this] = [this]x[B] = [(a10*b00+a11*b10) (a10*b01+a11*b11) (a10*b02+a11*b12+a12)]
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* [ 0 0 1 ]
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* </pre>
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* @see org.w3c.dom.svg.SVGMatrix#mMultiply()
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*/
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public SVGMatrix mMultiply(SVGMatrix secondMatrix)
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{
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if (secondMatrix == null)
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{
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throw new NullPointerException();
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}
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M2GSVGMatrix b = (M2GSVGMatrix)secondMatrix;
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float a00 = iComponents[M00]; // a
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float a10 = iComponents[M10]; // b
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float a01 = iComponents[M01]; // c
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float a11 = iComponents[M11]; // d
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float a02 = iComponents[M02]; // e
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float a12 = iComponents[M12]; // f
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iComponents[M00] = (a00 * b.iComponents[M00]) + (a01 * b.iComponents[M10]); // a
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iComponents[M10] = (a10 * b.iComponents[M00]) + (a11 * b.iComponents[M10]); // b
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iComponents[M01] = (a00 * b.iComponents[M01]) + (a01 * b.iComponents[M11]); // c
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iComponents[M11] = (a10 * b.iComponents[M01]) + (a11 * b.iComponents[M11]); // d
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iComponents[M02] = (a00 * b.iComponents[M02]) + (a01 * b.iComponents[M12]) + a02; // e
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iComponents[M12] = (a10 * b.iComponents[M02]) + (a11 * b.iComponents[M12]) + a12; // f
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return this;
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}
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/**
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* The rotation is calculated as:
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* <pre>
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* [ cos(angle) -sin(angle) 0 ]
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* [this] x [ sin(angle) cos(angle) 0 ]
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* [ 0 0 1 ]
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* </pre>
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* @see org.w3c.dom.svg.SVGMatrix#mRotate()
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*/
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public SVGMatrix mRotate(float angle)
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{
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if (angle % 360 == 0)
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{
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return this;
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}
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// must convert degrees to radians since java.lang.Math expects radians
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angle = angle * (float)Math.PI / 180.0f;
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float c = (float)Math.cos(angle);
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float s = (float)Math.sin(angle);
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float m00 = iComponents[M00];
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float m10 = iComponents[M10];
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float m01 = iComponents[M01];
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float m11 = iComponents[M11];
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iComponents[M00] = m00 * c + m01 * s;
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iComponents[M10] = m10 * c + m11 * s;
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iComponents[M01] = m01 * c - m00 * s;
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iComponents[M11] = m11 * c - m10 * s;
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return this;
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}
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/**
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* The multiply is calculated as:
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* <pre>
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* [m00 m01 m02] [scaleFactor 0 0]
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* this=[m10 m11 m12] B=[ 0 scaleFactor 0]
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* [ 0 0 1 ] [ 0 0 1]
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*
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* [(a00*scaleFactor) (a01*scaleFactor) a02]
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* [this] = [this]x[B] = [(a10*scaleFactor) (a11*scaleFactor) a12]
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* [ 0 0 1 ]
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* </pre>
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* @see org.w3c.dom.svg.SVGMatrix#mScale()
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*/
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public SVGMatrix mScale(float scaleFactor)
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{
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if (scaleFactor == 1)
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{
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return this;
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}
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iComponents[M00] *= scaleFactor;
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iComponents[M01] *= scaleFactor;
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iComponents[M10] *= scaleFactor;
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iComponents[M11] *= scaleFactor;
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return this;
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}
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/**
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* @see org.w3c.dom.svg.SVGMatrix#mTranslate()
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*/
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public SVGMatrix mTranslate(float x, float y)
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{
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if (x == 0 && y == 0)
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{
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return this;
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}
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iComponents[M02] += (iComponents[M00] * x) + (iComponents[M01] * y);
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iComponents[M12] += (iComponents[M10] * x) + (iComponents[M11] * y);
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return this;
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}
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/**
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* To string
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*/
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static String toString(float aComponents[])
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{
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if ((aComponents == null) || (M2GSVGMatrix.ARRAY_SIZE != aComponents.length))
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{
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return "";
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}
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StringBuffer buf = new StringBuffer();
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buf.append("[00]:").append(aComponents[M00]).append(", [10]:").append(aComponents[M10]);
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buf.append(", [01]:").append(aComponents[M01]).append(", [11]:").append(aComponents[M11]);
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buf.append(", [02]:").append(aComponents[M02]).append(", [12]:").append(aComponents[M12]);
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return buf.toString();
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}
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}
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