// $Id: xmatrix.cpp 1282 2006-06-09 09:46:49Z 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============================ */ /* */ #include "camtypes.h" //#include "xmatrix.h" - in camtypes.h [AUTOMATICALLY REMOVED] //#include "matrix.h" - in camtypes.h [AUTOMATICALLY REMOVED] DECLARE_SOURCE("$Revision: 1282 $"); // (this source was based on the 1.5 revision of matrix.cpp done by Mario) // this is used to show the fact that the final parameter to XMatrixCalc is in fact modified // by the call. It is done this way so that 32-bit implementations may replace the final // paraemter and simply use the return result of the function. #define RESULT #define TORADIANS(x) ((x)/180.0*PI) /******************************************************************************************** > XMatrix::XMatrix () Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: None Outputs: None Returns: None. Purpose: Default initialisation - sets up the identity matrix. Errors: None. ********************************************************************************************/ /* Technical notes: ********************************************************************************************/ XMatrix::XMatrix() { a = (FIXED16) 1; b = (FIXED16) 0; c = (FIXED16) 0; d = (FIXED16) 1; e = 0; f = 0; } /******************************************************************************************** > XMatrix::XMatrix ( const Matrix& mat) Author: Andy_Pennell (Xara Group Ltd) Created: 30/6/93 Inputs: Matrix (32-bit flavour) Outputs: None Returns: None. Purpose: Default initialisation - copies elements from 32- to 64-bit matrix Errors: None. ********************************************************************************************/ XMatrix::XMatrix( const Matrix& mat32) { a = mat32.a; b = mat32.b; c = mat32.c; d = mat32.d; e = mat32.e; f = mat32.f; } /******************************************************************************************** > XMatrix::XMatrix (const FIXED16& xScale, const FIXED16& yScale) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: Two fixed16s representing the x and y scale factors. Outputs: None Returns: None. Purpose: Default initialisation - sets up the scale matrix. Errors: None. ********************************************************************************************/ /* Technical notes: ********************************************************************************************/ XMatrix::XMatrix(const FIXED16& xScale, const FIXED16& yScale) { a = xScale; b = (FIXED16) 0; c = (FIXED16) 0; d = yScale; e = 0; f = 0; } /******************************************************************************************** > XMatrix::XMatrix (const ANGLE& theta) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: An angle representing the degree of rotation. Outputs: None Returns: None. Purpose: Default initialisation - sets up the rotation matrix. Errors: None. ********************************************************************************************/ /* Technical notes: ********************************************************************************************/ XMatrix::XMatrix(const ANGLE& theta) { #if 0 a = b = c = d = theta; a.Cos(); b.Sin(); c = -(c.Sin()); d.Cos(); #else double thetaradians = TORADIANS(theta.MakeDouble()); FIXED16 costheta = cos(thetaradians); FIXED16 sintheta = sin(thetaradians); a = d = costheta; b = sintheta; c = -sintheta; #endif e = 0; f = 0; } /******************************************************************************************** > XMatrix::XMatrix (const WorkCoord& disp) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: Displacement of translation. Outputs: None Returns: None. Purpose: Default initialisation - Sets up a translate matrix. Errors: None. ********************************************************************************************/ /* Technical notes: ********************************************************************************************/ XMatrix::XMatrix(const WorkCoord& disp) { a = (FIXED16) 1; b = (FIXED16) 0; c = (FIXED16) 0; d = (FIXED16) 1; e = disp.x; f = disp.y; } /******************************************************************************************** > XMatrix::XMatrix (const XLONG x, const XLONG y) > XMatrix::XMatrix (const INT32 x, const INT32 y) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: Displacement of translation. Outputs: None Returns: None. Purpose: Default initialisation - Sets up a translate matrix. Errors: None. ********************************************************************************************/ XMatrix::XMatrix(const XLONG x, const XLONG y) { a = (FIXED16) 1; b = (FIXED16) 0; c = (FIXED16) 0; d = (FIXED16) 1; e = x; f = y; } XMatrix::XMatrix(const INT32 x, const INT32 y) { a = (FIXED16) 1; b = (FIXED16) 0; c = (FIXED16) 0; d = (FIXED16) 1; e = x; f = y; } /******************************************************************************************** > XMatrix::XMatrix (const FIXED16& ca, const FIXED16& cb, const FIXED16& cc, const FIXED16& cd, const XLONG ce, const XLONG cf ) Author: Phil_Martin (Xara Group Ltd) Created: 21/7/93 Inputs: All six parameters which make up an Xmatrix Outputs: None Returns: None. Purpose: Initialise a whole XMatrix. Errors: None. ********************************************************************************************/ XMatrix::XMatrix( const FIXED16& ca, const FIXED16& cb, const FIXED16& cc, const FIXED16& cd, const XLONG ce, const XLONG cf ) { a = ca; b = cb; c = cc; d = cd; e = ce; f = cf; } /******************************************************************************************** > void XMatrix::transform(WorkCoord pts[], UINT32 count) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: result - points to be translated. count - number of points. Outputs: None Returns: None. Purpose: Transforms a list of points. Errors: None. ********************************************************************************************/ /* Technical notes: ********************************************************************************************/ void XMatrix::transform(WorkCoord pts[], UINT32 count ) { UINT32 i; XLONG tx; // Holds INPUT value of pts[i].x for use in second MatrixCalc for (i = 0; i < count; i++) { tx = pts[i].x; XMatrixCalc(a, tx, c, pts[i].y, RESULT pts[i].x); pts[i].x += e; XMatrixCalc(b, tx, d, pts[i].y, RESULT pts[i].y); pts[i].y += f; } } /******************************************************************************************** > void XMatrix::transform(WorkCoord pts[], const WorkCoord input[], UINT32 count) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: input - points to be translated. count - number of points. Outputs: result points translated. Returns: None. Purpose: Transforms a list of points. Errors: None. ********************************************************************************************/ /* Technical notes: ********************************************************************************************/ void XMatrix::transform(WorkCoord pts[], const WorkCoord input[], UINT32 count) { UINT32 i; for (i = 0; i < count; i++) { XMatrixCalc(a, input[i].x, c, input[i].y, RESULT pts[i].x); pts[i].x += e; XMatrixCalc(b, input[i].x, d, input[i].y, RESULT pts[i].y); pts[i].y += f; } } /******************************************************************************************** > XMatrix& XMatrix::operator=(const Matrix& rhs) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: rhs - matrix to be assigned. Outputs: None. Returns: None. Purpose: Matrix assignment. Errors: None. ********************************************************************************************/ /* Technical notes: ********************************************************************************************/ XMatrix& XMatrix::operator=(const XMatrix& rhs) { this->a = rhs.a; this->b = rhs.b; this->c = rhs.c; this->d = rhs.d; this->e = rhs.e; this->f = rhs.f; return *this; } /******************************************************************************************** > XMatrix XMatrix::operator*(const XMatrix& operand1, const XMatrix& operand2) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: Two matrices to be multiplied. Outputs: None. Friend: Matrix Returns: result of multiplication. Purpose: Matrix multiplication. Cannot be used in a nested form as the result is contained in a static local (e.g. a = (b*c)*(d*e) will fail). Errors: None. ********************************************************************************************/ XMatrix operator*(const XMatrix& op1, const XMatrix& op2) { static XMatrix result; result.a = ((op1.a * op2.a) + (op1.b * op2.c)); result.b = ((op1.a * op2.b) + (op1.b * op2.d)); result.c = ((op1.c * op2.a) + (op1.d * op2.c)); result.d = ((op1.c * op2.b) + (op1.d * op2.d)); XMatrixCalc(op2.a, op1.e, op2.c, op1.f, RESULT result.e); result.e += op2.e; XMatrixCalc(op2.b, op1.e, op2.d, op1.f, RESULT result.f); result.f += op2.f; return result; } /******************************************************************************************** > XMatrix& XMatrix::operator*=(const XMatrix& op) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: Matrix to be multiplied. Outputs: None. Friend: Matrix Returns: result of multiplication. Purpose: Overloads the *= operator for Matrices. Errors: None. ********************************************************************************************/ XMatrix& XMatrix::operator*=(const XMatrix& op) { XMatrix temp; temp.a = ((a * op.a) + (b * op.c)); temp.b = ((a * op.b) + (b * op.d)); temp.c = ((c * op.a) + (d * op.c)); temp.d = ((c * op.b) + (d * op.d)); XMatrixCalc(op.a, e, op.c, f, RESULT temp.e); temp.e += op.e; XMatrixCalc(op.b, e, op.d, f, RESULT temp.f); temp.f += op.f; *this = temp; return *this; } /******************************************************************************************** > void XMatrix::transform(WorkCoord* pt) Author: Andy_Pennell (Xara Group Ltd) Created: 30/5/93 Inputs: result - points to be transformed. Outputs: None Returns: None. Purpose: Transforms a single point. Errors: None. ********************************************************************************************/ void XMatrix::transform(WorkCoord* pt) { XLONG tx = pt->x; // Holds INPUT value of x for use in second MatrixCalc XMatrixCalc(a, tx, c, pt->y, RESULT pt->x); pt->x += e; XMatrixCalc(b, tx, d, pt->y, RESULT pt->y); pt->y += f; }