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matrix3.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_MATRIX3_H
00024 #define SHEEP_MATH_MATRIX3_H
00025 
00026 #include "common/misc/htmlstream.h"
00027 #include "quaternion.h"
00028 #include "real.h"
00029 #include "vector3.h"
00030 
00031 #include <cassert>
00032 
00033 namespace sheep {
00034 
00035     class Matrix3 {
00036     public:
00037         // Constructors.
00038         Matrix3();
00039         Matrix3(Real r);
00040         Matrix3(const Matrix3 &m);
00041 
00042         // Identity matrix.
00043         static Matrix3 Identity();
00044 
00045         // Transformations.
00046         static Matrix3 Rotation(const Quaternion &q);   // q must be normalized
00047         static Matrix3 Rotation(Real angle, const Vector3 &axis);
00048         static Matrix3 Rotation(Real rotx, Real roty, Real rotz);   //!< Order of rotations: X, then Y, then Z.
00049         static Matrix3 Scale(const Vector3 &s);
00050 
00051         void GetEulerAngles(Real *rotx, Real *roty, Real *rotz) const;
00052 
00053         // Assignment operators.
00054         Matrix3 &operator=(Real r);
00055         Matrix3 &operator=(const Matrix3 &m);
00056 
00057         // Basic operations.
00058         Matrix3 operator+(const Matrix3 &m) const;
00059         Matrix3 operator-(const Matrix3 &m) const;
00060         Matrix3 operator-() const;
00061         Matrix3 operator*(Real r) const;
00062         Matrix3 operator/(Real r) const;
00063         Matrix3 &operator+=(const Matrix3 &m);
00064         Matrix3 &operator-=(const Matrix3 &m);
00065         Matrix3 &operator*=(Real r);
00066         Matrix3 &operator/=(Real r);
00067 
00068         // Matrix products.
00069         Matrix3 operator*(const Matrix3 &m) const;
00070         Matrix3 &operator*=(const Matrix3 &m);
00071 
00072         // Product of a matrix and a vector.
00073         Vector3 operator*(const Vector3 &v) const;
00074 
00075         // Array subscripting.
00076         Real &operator[](int i);
00077         const Real &operator[](int i) const;
00078 
00079         // Fortran-style subscripting (still 0-based).
00080         Real &operator()(int row, int column);
00081         const Real &operator()(int row, int column) const;
00082 
00083         // Transpose.
00084         Matrix3 Transpose() const;
00085 
00086         // Inverse.
00087         Matrix3 Inverse() const;
00088 
00089         // Determinant.
00090         Real Determinant() const;
00091 
00092         // Trace.
00093         Real Trace() const;
00094 
00095     private:
00096         Real m_v[9];    // matrix values (row-major)
00097     };
00098 
00099     // Product of a real by a matrix.
00100     Matrix3 operator*(Real r, const Matrix3 &m);
00101 
00102     //! Deprecated.
00103     htmlstream& operator<<(htmlstream& s, const Matrix3 &m);
00104 
00105 #include "matrix3.inl"
00106 
00107 }
00108 
00109 #endif  // !SHEEP_MATH_MATRIX3_H

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