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matrix.h

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00001 /*
00002     Sheep - A Rigid Body Dynamics Engine
00003     Copyright (C) 2001-2004 Francois Beaune
00004     Contact: http://toxicengine.sourceforge.net/
00005 
00006     This file is part of Sheep.
00007 
00008     Sheep is free software; you can redistribute it and/or modify
00009     it under the terms of the GNU General Public License as published by
00010     the Free Software Foundation; either version 2 of the License, or
00011     (at your option) any later version.
00012 
00013     Sheep is distributed in the hope that it will be useful,
00014     but WITHOUT ANY WARRANTY; without even the implied warranty of
00015     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
00016     GNU General Public License for more details.
00017 
00018     You should have received a copy of the GNU General Public License
00019     along with Sheep; if not, write to the Free Software
00020     Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00021 */
00022 
00023 #ifndef SHEEP_MATH_MATRIX_H
00024 #define SHEEP_MATH_MATRIX_H
00025 
00026 #include "common/misc/htmlstream.h"
00027 #include "real.h"
00028 #include "vector.h"
00029 
00030 #include <cassert>
00031 
00032 namespace sheep {
00033 
00034     class Matrix {
00035     public:
00036         // Constructors.
00037         Matrix(int rows, int columns);
00038         Matrix(int rows, int columns, Real r);
00039         Matrix(const Matrix &m);
00040 
00041         // Destructor.
00042         virtual ~Matrix();
00043 
00044         // Nth-order identity matrix.
00045         static Matrix Identity(int n);
00046 
00047         // Assignment operators.
00048         Matrix &operator=(Real r);
00049         Matrix &operator=(const Matrix &m);
00050 
00051         // Matrix dimensions.
00052         int GetRows() const;
00053         int GetColumns() const;
00054         bool IsSquare() const;
00055 
00056         // Basic operations.
00057         Matrix operator+(const Matrix &m) const;
00058         Matrix operator-(const Matrix &m) const;
00059         Matrix operator-() const;
00060         Matrix operator*(Real r) const;
00061         Matrix operator/(Real r) const;
00062         Matrix &operator+=(const Matrix &m);
00063         Matrix &operator-=(const Matrix &m);
00064         Matrix &operator*=(Real r);
00065         Matrix &operator/=(Real r);
00066 
00067         // Matrix product (no *= operator).
00068         Matrix operator*(const Matrix &m) const;
00069 
00070         // Product of a matrix and a vector.
00071         Vector operator*(const Vector &v) const;
00072 
00073         // Array subscripting.
00074         Real &operator[](int i);
00075         const Real &operator[](int i) const;
00076 
00077         // Fortran-style subscripting (still 0-based).
00078         Real &operator()(int row, int column);
00079         const Real &operator()(int row, int column) const;
00080 
00081         // Direct access to matrix coefficients.
00082         Real *GetData();
00083 
00084         // Transpose.
00085         Matrix Transpose() const;
00086 
00087         // Inverse.
00088         Matrix Inverse() const;
00089 
00090         // Determinant.
00091         Real Determinant() const;
00092 
00093         // Trace .
00094         inline Real Trace() const;
00095 
00096     private:
00097         int m_r, m_c;       // rows and columns
00098         Real *m_v;          // matrix values (row-major)
00099     };
00100 
00101     // Product of a real by a matrix.
00102     Matrix operator*(Real r, const Matrix &m);
00103 
00104     //! Deprecated.
00105     htmlstream& operator<<(htmlstream& s, const Matrix &m);
00106 
00107 #include "matrix.inl"
00108 
00109 }
00110 
00111 #endif  // !SHEEP_MATH_MATRIX_H

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