// $Id: matrix.h 1285 2006-06-09 11:10:27Z alex $ /* @@tag:xara-cn@@ DO NOT MODIFY THIS LINE ================================XARAHEADERSTART=========================== Xara LX, a vector drawing and manipulation program. Copyright (C) 1993-2006 Xara Group Ltd. Copyright on certain contributions may be held in joint with their respective authors. See AUTHORS file for details. LICENSE TO USE AND MODIFY SOFTWARE ---------------------------------- This file is part of Xara LX. Xara LX is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License version 2 as published by the Free Software Foundation. Xara LX and its component source files are distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. 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Xara Group Ltd, Gaddesden Place, Hemel Hempstead, HP2 6EX, UK. http://www.xara.com/ =================================XARAHEADEREND============================ */ /* * */ #ifndef INC_MATRIX #define INC_MATRIX #include "ccmaths.h" #include "coord.h" #include "ccobject.h" class DocRect; class DocCoord; /******************************************************************************************** < TransformType; enum Author: Rik_Heywood (Xara Group Ltd) Created: 19/10/93 Comment: This enum is used to determine what type of matrix we have. It can be one of the following values :- MonoOn TRANS_IDENTITY // An Identity Matrix TRANS_TRANSLATION // A Translation Matrix TRANS_ROTATION // A Rotation Matrix TRANS_SCALE // A Scale Matrix TRANS_SHEAR // A Shear Matrix TRANS_COMPLEX // A Matrix that is a combination of the above MonoOff ********************************************************************************************/ typedef enum { TRANS_IDENTITY, TRANS_TRANSLATION, TRANS_ROTATION, TRANS_SCALE, TRANS_SHEAR, TRANS_COMPLEX } TransformType; /*********************************************************************************************** > class Matrix : public SimpleCCObject Author: Mario_Shamtani (Xara Group Ltd) (extended by Rik) Created: 13/5/1993 (extended 19/10/93) Purpose: Represents a mathematical transformation matrix. Transformation matrices can transform the coordinate pairs of one coordinate space into another coordinate space. Matrices are used in Camelot for the rendering process in various ways. These include coordinate conversion, scaling, rotation and translation. Depending on the constructor applied it is possible to specify any of the above types of matrix. MonoOn eg. Matrix(); //creates the identity matrix Matrix(ANGLE(90)); //creates a rotation matrix by 90 deg Matrix(ScaleX, ScaleY); //creates a scaling matrix Matrix(xOffset, yOffset); //creates a translation matrix MonoOff The Matrix also contains a couple of Public vars that may or may not be of any use to anyone. These are as follows :- MonoOn TransformType Type; // The type of transformation this matrix represents ANGLE Angle; // The angle of rotation for a rotation matrix MonoOff SeeAlso: TransformType ***********************************************************************************************/ class CCAPI Matrix : public SimpleCCObject { friend class OSRenderRegion; friend class XMatrix; private: FIXED16 a; FIXED16 b; FIXED16 c; FIXED16 d; INT32 e; INT32 f; public: TransformType Type; // The type of transform this matrix represents ANGLE Angle; // If it is a rotation, this holds the angle of rotation public: // Constructors et all Matrix(); Matrix(const FIXED16&, const FIXED16&); Matrix(const ANGLE& theta); Matrix(const Coord&); Matrix(const Coord&, const ANGLE&); Matrix(const INT32, const INT32); Matrix(const FIXED16&, const FIXED16&, const FIXED16&, const FIXED16&, const INT32, const INT32); Matrix(const DocRect&, const DocRect&); // Transformations using the matrix void transform(Coord*) const; void transform(Coord[], UINT32 count) const; void transform(Coord[], const Coord[], UINT32) const; void translate(const INT32 TransX, const INT32 TransY); BOOL TransformBounds(DocRect* pRect) const; BOOL Decompose(FIXED16* pScale=NULL, FIXED16* pAspect=NULL, ANGLE* pRotation=NULL, ANGLE* pShear=NULL, Coord* pTranslate=NULL, FIXED16* pScaleY=NULL); BOOL Compose(FIXED16 Scale=1.0, FIXED16 Aspect=1.0, ANGLE Rotation=0, ANGLE Shear=0, Coord Translation=Coord(0,0)); BOOL IsRotation(const double epsilon = 0.0) const; BOOL IsReflection(const double epsilon = 0.0) const; BOOL IsTranslation(const double epsilon = 0.0) const; BOOL IsIdentity(/*DOUBLEPARAM epsilon*/) const; // Matrix copy and multiplication stuff Matrix& operator=(const Matrix&); BOOL operator==(const Matrix&) const; friend Matrix operator*(const Matrix&, const Matrix&); Matrix& operator*=(const Matrix&); // Matrix Inversion Matrix Inverse() const; // obtain matrix compnents void GetComponents( FIXED16 *, INT32 * ) const; void GetTranslation(DocCoord&) const; void GetTranslation(INT32&,INT32&) const; void SetTranslation(const DocCoord&); void SetTranslation(const INT32&, const INT32&); // Karim 23/07/2000 // ok, here are some factory methods so you don't have to trawl // through the codebase every time you want a certain type of matrix. static Matrix CreateTransMatrix(const Coord& dcTrans); static Matrix CreateScaleMatrix(const double& xScale, const double& yScale); static Matrix CreateScaleMatrix(const double& ScaleFactor); static Matrix CreateShearMatrix(const double& ShearAngle); static Matrix CreateRotateMatrix(const double& RotateAngle); // Karim 04/09/2000 // two methods to obtain the trace and determinant of a matrix. double Trace() const; double Det() const; // Karim 09/2001 // A set of matrix fns useful for geometric tweening. void RatioMatrix (const double ratio); Matrix Interpolate(const Matrix& op, const double ratio) const; Matrix PostRotate(DocCoord dcCentre, const ANGLE& Angle) const; #ifdef _DEBUG void Dump() const; #endif }; #endif