///////////////////////////////////////////////////////////////////////////// // Name: wx/matrix.h // Purpose: wxTransformMatrix class. NOT YET USED // Author: Chris Breeze, Julian Smart // Modified by: Klaas Holwerda // Created: 01/02/97 // RCS-ID: \$Id: matrix.h 45498 2007-04-16 13:03:05Z VZ \$ // Copyright: (c) Julian Smart, Chris Breeze // Licence: wxWindows licence ///////////////////////////////////////////////////////////////////////////// #ifndef _WX_MATRIXH__ #define _WX_MATRIXH__ //! headerfiles="matrix.h wx/object.h" #include "wx/object.h" #include "wx/math.h" //! codefiles="matrix.cpp" // A simple 3x3 matrix. This may be replaced by a more general matrix // class some day. // // Note: this is intended to be used in wxDC at some point to replace // the current system of scaling/translation. It is not yet used. //:definition // A 3x3 matrix to do 2D transformations. // It can be used to map data to window coordinates, // and also for manipulating your own data. // For example drawing a picture (composed of several primitives) // at a certain coordinate and angle within another parent picture. // At all times m_isIdentity is set if the matrix itself is an Identity matrix. // It is used where possible to optimize calculations. class WXDLLEXPORT wxTransformMatrix: public wxObject { public: wxTransformMatrix(void); wxTransformMatrix(const wxTransformMatrix& mat); //get the value in the matrix at col,row //rows are horizontal (second index of m_matrix member) //columns are vertical (first index of m_matrix member) double GetValue(int col, int row) const; //set the value in the matrix at col,row //rows are horizontal (second index of m_matrix member) //columns are vertical (first index of m_matrix member) void SetValue(int col, int row, double value); void operator = (const wxTransformMatrix& mat); bool operator == (const wxTransformMatrix& mat) const; bool operator != (const wxTransformMatrix& mat) const; //multiply every element by t wxTransformMatrix& operator*=(const double& t); //divide every element by t wxTransformMatrix& operator/=(const double& t); //add matrix m to this t wxTransformMatrix& operator+=(const wxTransformMatrix& m); //subtract matrix m from this wxTransformMatrix& operator-=(const wxTransformMatrix& m); //multiply matrix m with this wxTransformMatrix& operator*=(const wxTransformMatrix& m); // constant operators //multiply every element by t and return result wxTransformMatrix operator*(const double& t) const; //divide this matrix by t and return result wxTransformMatrix operator/(const double& t) const; //add matrix m to this and return result wxTransformMatrix operator+(const wxTransformMatrix& m) const; //subtract matrix m from this and return result wxTransformMatrix operator-(const wxTransformMatrix& m) const; //multiply this by matrix m and return result wxTransformMatrix operator*(const wxTransformMatrix& m) const; wxTransformMatrix operator-() const; //rows are horizontal (second index of m_matrix member) //columns are vertical (first index of m_matrix member) double& operator()(int col, int row); //rows are horizontal (second index of m_matrix member) //columns are vertical (first index of m_matrix member) double operator()(int col, int row) const; // Invert matrix bool Invert(void); // Make into identity matrix bool Identity(void); // Is the matrix the identity matrix? // Only returns a flag, which is set whenever an operation // is done. inline bool IsIdentity(void) const { return m_isIdentity; } // This does an actual check. inline bool IsIdentity1(void) const ; //Scale by scale (isotropic scaling i.e. the same in x and y): //!ex: //!code: | scale 0 0 | //!code: matrix' = | 0 scale 0 | x matrix //!code: | 0 0 scale | bool Scale(double scale); //Scale with center point and x/y scale // //!ex: //!code: | xs 0 xc(1-xs) | //!code: matrix' = | 0 ys yc(1-ys) | x matrix //!code: | 0 0 1 | wxTransformMatrix& Scale(const double &xs, const double &ys,const double &xc, const double &yc); // mirror a matrix in x, y //!ex: //!code: | -1 0 0 | //!code: matrix' = | 0 -1 0 | x matrix //!code: | 0 0 1 | wxTransformMatrix& Mirror(bool x=true, bool y=false); // Translate by dx, dy: //!ex: //!code: | 1 0 dx | //!code: matrix' = | 0 1 dy | x matrix //!code: | 0 0 1 | bool Translate(double x, double y); // Rotate clockwise by the given number of degrees: //!ex: //!code: | cos sin 0 | //!code: matrix' = | -sin cos 0 | x matrix //!code: | 0 0 1 | bool Rotate(double angle); //Rotate counter clockwise with point of rotation // //!ex: //!code: | cos(r) -sin(r) x(1-cos(r))+y(sin(r)| //!code: matrix' = | sin(r) cos(r) y(1-cos(r))-x(sin(r)| x matrix //!code: | 0 0 1 | wxTransformMatrix& Rotate(const double &r, const double &x, const double &y); // Transform X value from logical to device inline double TransformX(double x) const; // Transform Y value from logical to device inline double TransformY(double y) const; // Transform a point from logical to device coordinates bool TransformPoint(double x, double y, double& tx, double& ty) const; // Transform a point from device to logical coordinates. // Example of use: // wxTransformMatrix mat = dc.GetTransformation(); // mat.Invert(); // mat.InverseTransformPoint(x, y, x1, y1); // OR (shorthand:) // dc.LogicalToDevice(x, y, x1, y1); // The latter is slightly less efficient if we're doing several // conversions, since the matrix is inverted several times. // N.B. 'this' matrix is the inverse at this point bool InverseTransformPoint(double x, double y, double& tx, double& ty) const; double Get_scaleX(); double Get_scaleY(); double GetRotation(); void SetRotation(double rotation); public: double m_matrix[3][3]; bool m_isIdentity; }; /* Chris Breeze reported, that some functions of wxTransformMatrix cannot work because it is not known if he matrix has been inverted. Be careful when using it. */ // Transform X value from logical to device // warning: this function can only be used for this purpose // because no rotation is involved when mapping logical to device coordinates // mirror and scaling for x and y will be part of the matrix // if you have a matrix that is rotated, eg a shape containing a matrix to place // it in the logical coordinate system, use TransformPoint inline double wxTransformMatrix::TransformX(double x) const { //normally like this, but since no rotation is involved (only mirror and scale) //we can do without Y -> m_matrix[1]{0] is -sin(rotation angle) and therefore zero //(x * m_matrix[0][0] + y * m_matrix[1][0] + m_matrix[2][0])) return (m_isIdentity ? x : (x * m_matrix[0][0] + m_matrix[2][0])); } // Transform Y value from logical to device // warning: this function can only be used for this purpose // because no rotation is involved when mapping logical to device coordinates // mirror and scaling for x and y will be part of the matrix // if you have a matrix that is rotated, eg a shape containing a matrix to place // it in the logical coordinate system, use TransformPoint inline double wxTransformMatrix::TransformY(double y) const { //normally like this, but since no rotation is involved (only mirror and scale) //we can do without X -> m_matrix[0]{1] is sin(rotation angle) and therefore zero //(x * m_matrix[0][1] + y * m_matrix[1][1] + m_matrix[2][1])) return (m_isIdentity ? y : (y * m_matrix[1][1] + m_matrix[2][1])); } // Is the matrix the identity matrix? // Each operation checks whether the result is still the identity matrix and sets a flag. inline bool wxTransformMatrix::IsIdentity1(void) const { return ( wxIsSameDouble(m_matrix[0][0], 1.0) && wxIsSameDouble(m_matrix[1][1], 1.0) && wxIsSameDouble(m_matrix[2][2], 1.0) && wxIsSameDouble(m_matrix[1][0], 0.0) && wxIsSameDouble(m_matrix[2][0], 0.0) && wxIsSameDouble(m_matrix[0][1], 0.0) && wxIsSameDouble(m_matrix[2][1], 0.0) && wxIsSameDouble(m_matrix[0][2], 0.0) && wxIsSameDouble(m_matrix[1][2], 0.0) ); } // Calculates the determinant of a 2 x 2 matrix inline double wxCalculateDet(double a11, double a21, double a12, double a22) { return a11 * a22 - a12 * a21; } #endif // _WX_MATRIXH__