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math/path.h

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#ifndef MATH_PATH_H
#define MATH_PATH_H

/*

  GLT OpenGL C++ Toolkit (LGPL)
  Copyright (C) 2000-2002 Nigel Stewart  

  Email: nigels.com@gmail.com   
  WWW:   http://www.nigels.com/glt/

  This library is free software; you can redistribute it and/or
  modify it under the terms of the GNU Lesser General Public
  License as published by the Free Software Foundation; either
  version 2.1 of the License, or (at your option) any later version.

  This library is 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
  Lesser General Public License for more details.

  You should have received a copy of the GNU Lesser General Public
  License along with this library; if not, write to the Free Software
  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

*/

#include <math/vector3.h>
#include <math/matrix4.h>

class GltPath3D
{
public:

    GltPath3D();
    virtual ~GltPath3D();

    virtual Vector f(const real t) const = 0;       
    virtual Vector df(const real t) const = 0;      
    virtual Vector ddf(const real t) const = 0;    
};

class GltPath3DLine : public GltPath3D
{
public:
    GltPath3DLine(const Vector &origin,const Vector &direction);

    Vector f(const real t) const;
    Vector df(const real t) const;
    Vector ddf(const real t) const;

private:
    const Vector _origin;
    const Vector _direction;
};

class GltPath3DHelix : public GltPath3D
{
public:
    GltPath3DHelix(const Vector &origin,const Vector &direction,const real radius,const real freq,const real phase);

    Vector f(const real t) const;
    Vector df(const real t) const;
    Vector ddf(const real t) const;

private:
    Matrix _trans;
    const Vector _origin;
    const Vector _direction;
    const real _radius;
    const real _freq;
    const real _phase;
};


class GltPath3DSegment : public GltPath3D
{
public:
    GltPath3DSegment(const GltPath3D &f,const real begin,const real end);

    Vector f(const real t) const;
    Vector df(const real t) const;
    Vector ddf(const real t) const;

private:

    real segT(const real t) const;

    const GltPath3D &_func;
    const real     _begin;
    const real     _end;
};

#endif

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