simple_polygon_2d.h

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/** @file
 *  @author Bram de Greve (bramz@users.sourceforge.net)
 *  @author Tom De Muer (tomdemuer@users.sourceforge.net)
 *
 *  *** BEGIN LICENSE INFORMATION ***
 *  
 *  The contents of this file are subject to the Common Public Attribution License 
 *  Version 1.0 (the "License"); you may not use this file except in compliance with 
 *  the License. You may obtain a copy of the License at 
 *  http://lass.sourceforge.net/cpal-license. The License is based on the 
 *  Mozilla Public License Version 1.1 but Sections 14 and 15 have been added to cover 
 *  use of software over a computer network and provide for limited attribution for 
 *  the Original Developer. In addition, Exhibit A has been modified to be consistent 
 *  with Exhibit B.
 *  
 *  Software distributed under the License is distributed on an "AS IS" basis, WITHOUT 
 *  WARRANTY OF ANY KIND, either express or implied. See the License for the specific 
 *  language governing rights and limitations under the License.
 *  
 *  The Original Code is LASS - Library of Assembled Shared Sources.
 *  
 *  The Initial Developer of the Original Code is Bram de Greve and Tom De Muer.
 *  The Original Developer is the Initial Developer.
 *  
 *  All portions of the code written by the Initial Developer are:
 *  Copyright (C) 2004-2007 the Initial Developer.
 *  All Rights Reserved.
 *  
 *  Contributor(s):
 *
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 *  GNU General Public License Version 2 or later (the GPL), in which case the 
 *  provisions of GPL are applicable instead of those above.  If you wish to allow use
 *  of your version of this file only under the terms of the GPL and not to allow 
 *  others to use your version of this file under the CPAL, indicate your decision by 
 *  deleting the provisions above and replace them with the notice and other 
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 *  a recipient may use your version of this file under either the CPAL or the GPL.
 *  
 *  *** END LICENSE INFORMATION ***
 */



/** @class lass::prim::SimplePolygon2D
 *  @brief convex or concave polygon in 2D (not selfintersecting, no holes)
 *  @author Bram de Greve [BdG]
 *
 *  @warning SimplePolygon2D only ASSUMES it's simple.  there's no guarantee at any time.
 *           It's your own responsibility to keep it simple.  We do it this way because
 *           it's just to costly to check it at every access to the polygon.  However, we
 *           provide some methods to check it yourself.
 */

#ifndef LASS_GUARDIAN_OF_INCLUSION_PRIM_SIMPLE_POLYGON_2D_H
#define LASS_GUARDIAN_OF_INCLUSION_PRIM_SIMPLE_POLYGON_2D_H

#include "prim_common.h"
#include "degenerate_policy.h"
#include "orientation.h"
#include "line_segment_2d.h"

namespace lass
{
namespace prim
{

template
<
    typename T,
    class DegeneratePolicy = NoDegenerate
>
class SimplePolygon2D
{
public:

    typedef SimplePolygon2D<T, NoDegenerate> TSelf;
    typedef DegeneratePolicy TDegeneratePolicy;
    
    typedef Point2D<T> TPoint;
    typedef Point2DH<T> TPointH;
    typedef typename TPoint::TVector TVector;
    typedef LineSegment2D<T> TLineSegment;

    typedef typename TPoint::TValue TValue;
    typedef typename TPoint::TParam TParam;
    typedef typename TPoint::TReference TReference;
    typedef typename TPoint::TConstReference TConstReference;
    typedef typename TPoint::TNumTraits TNumTraits;

    enum { dimension = TPoint::dimension }; /**< number of dimensions */

    template <typename U> struct Rebind
    {
        typedef SimplePolygon2D<U, NoDegenerate> Type;
    };

    SimplePolygon2D();
    template <typename InputIterator> 
    SimplePolygon2D(InputIterator iFirstVertex, InputIterator iLastVertex);

    const TPoint& operator[](size_t iIndexOfVertex) const;
    TPoint& operator[](size_t iIndexOfVertex);
    const TPoint& at(int iIndexOfVertex) const;
    TPoint& at(int iIndexOfVertex);
    const TLineSegment edge(int iIndexOfTailVertex) const;
    const TVector vector(int iIndexOfTailVertex) const;

    void add(const TPoint& iVertex);
    void insert(int iIndexOfVertex, const TPoint& iVertex);
    void erase(int iIndexOfVertex);

    const bool isEmpty() const;
    const size_t size() const;

    const TValue signedArea() const;
    const TValue area() const;
    const TValue perimeter() const;
    const TPointH vertexCentroid() const;
    const TPointH surfaceCentroid() const;
    
    const bool isSimple() const;
    const bool isConvex() const;
    const Orientation orientation() const;

    const bool isReflex(int iIndexOfVertex) const;

    const Side classify(const TPoint& iP) const;
    const bool contains(const TPoint& iP) const;

    void flip();
    void fixDegenerate();
    const bool isValid() const;

private:

    const bool isInRange(int iIndexOfVertex) const;

    typedef std::vector<TPoint> TVertices;

    TVertices vertices_;
};



template <typename T, class DP>
io::XmlOStream& operator<<(io::XmlOStream& ioOStream, const SimplePolygon2D<T, DP>& iPolygon);

template <typename T, class DP>
std::ostream& operator<<(std::ostream& ioOStream, const SimplePolygon2D<T, DP>& iPolygon);

template <typename T, class DP>
lass::io::MatlabOStream& operator<<(lass::io::MatlabOStream& oOStream,
                                    const SimplePolygon2D<T, DP>& iPolygon);


/** C = A \ B */
template <typename T, class DP>
bool set_difference(const SimplePolygon2D<T, DP>& iPolygonA,const SimplePolygon2D<T, DP>& iPolygonB, std::vector<SimplePolygon2D<T, DP> >& oPolygonsC);

/** C = A U B */
template <typename T, class DP>
bool set_union(const SimplePolygon2D<T, DP>& iPolygonA,const SimplePolygon2D<T, DP>& iPolygonB, std::vector<SimplePolygon2D<T, DP> >& oPolygonsC);

/** C = (A U B) \ (A \ B) \ (B \ A)  */
template <typename T, class DP>
bool set_intersect(const SimplePolygon2D<T, DP>& iPolygonA,const SimplePolygon2D<T, DP>& iPolygonB, std::vector<SimplePolygon2D<T, DP> >& oPolygonsC);


}

}

#include "simple_polygon_2d.inl"

#define LASS_PRIM_HAVE_PY_EXPORT_TRAITS_SIMPLE_POLYGON_2D
#ifdef LASS_GUARDIAN_OF_INCLUSION_UTIL_PYOBJECT_PLUS_H
#   include "pyobject_util.h"
#endif

#ifdef LASS_GUARDIAN_OF_INCLUSION_PRIM_AABB_2D_H
#   include "aabb_2d_simple_polygon_2d.h"
#endif

#ifdef LASS_GUARDIAN_OF_INCLUSION_PRIM_RAY_2D_H
#   include "ray_2d_simple_polygon_2d.h"
#endif

#endif

// EOF