vector_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.
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 *
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 *  GNU General Public License Version 2 or later (the GPL), in which case the 
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 *  of your version of this file only under the terms of the GPL and not to allow 
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 *  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.
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 *  *** END LICENSE INFORMATION ***
 */



/** @struct lass::prim::Vector2D
 *  @brief 2D Vector
 *  @author BdG
 *  @date 2003
 */



#ifndef LASS_GUARDIAN_OF_INCLUSION_PRIM_VECTOR_2D_H
#define LASS_GUARDIAN_OF_INCLUSION_PRIM_VECTOR_2D_H




#include "prim_common.h"
#include "../io/xml_o_stream.h"



namespace lass
{

namespace prim
{

template<typename T>
struct Vector2D
{
    typedef Vector2D<T> TSelf;

    typedef typename util::CallTraits<T>::TValue TValue;
    typedef typename util::CallTraits<T>::TParam TParam;
    typedef typename util::CallTraits<T>::TReference TReference;
    typedef typename util::CallTraits<T>::TConstReference TConstReference;
    typedef typename num::NumTraits<T> TNumTraits;

    enum { dimension = 2 }; /**< number of dimensions of vector */

    template <typename U> struct Rebind
    {
        typedef Vector2D<U> Type;
    };


    // public data

    TValue x;
    TValue y;


    // methods

    Vector2D();
    Vector2D(TParam x, TParam y);
    template <typename U> explicit Vector2D(const Vector2D<U>& other);
    template <typename U> Vector2D(const U& x, const U& y);

    typename Vector2D::TConstReference operator[](size_t index) const;
    typename Vector2D::TReference operator[](size_t index);
    typename Vector2D::TConstReference at(signed index) const;
    typename Vector2D::TReference at(signed index);

    const Vector2D<T>& operator+() const;
    const Vector2D<T> operator-() const;
    Vector2D<T>& operator+=(const Vector2D<T>& other);
    Vector2D<T>& operator-=(const Vector2D<T>& other);
    Vector2D<T>& operator*=(const Vector2D<T>& other);
    Vector2D<T>& operator/=(const Vector2D<T>& other);
    Vector2D<T>& operator+=(TParam other);
    Vector2D<T>& operator-=(TParam other);
    Vector2D<T>& operator*=(TParam other);
    Vector2D<T>& operator/=(TParam other);

    const bool isZero() const;
    const bool isNaN() const;
    const TValue squaredNorm() const;
    const TValue norm() const;
    const Vector2D<T> normal() const;
    const Vector2D<T> reciprocal() const;
    const Vector2D<T> perp() const;
    const Vector2D<T> project(const Vector2D<T>& other) const;
    const Vector2D<T> reject(const Vector2D<T>& other) const;
    const Vector2D<T> reflect(const Vector2D<T>& other) const;
    const Vector2D<T> transform(T (*iOperator)(T)) const;

    void normalize();

    template <class RandomGenerator> static Vector2D<T> random(RandomGenerator& generator);
};

template<typename T> typename Vector2D<T>::TValue dot(const Vector2D<T>& a, const Vector2D<T>& b);
template<typename T> typename Vector2D<T>::TValue perpDot(const Vector2D<T>& a, const Vector2D<T>& b);
template<typename T> typename Vector2D<T>::TValue cos(const Vector2D<T>& a, const Vector2D<T>& b);

template<typename T> bool operator==(const Vector2D<T>& a, const Vector2D<T>& b);
template<typename T> bool operator!=(const Vector2D<T>& a, const Vector2D<T>& b);

template<typename T> Vector2D<T> operator+(const Vector2D<T>& a, const Vector2D<T>& b);
template<typename T> Vector2D<T> operator-(const Vector2D<T>& a, const Vector2D<T>& b);
template<typename T> Vector2D<T> operator*(const Vector2D<T>& a, const Vector2D<T>& b);
template<typename T> Vector2D<T> operator/(const Vector2D<T>& a, const Vector2D<T>& b);

template<typename T> Vector2D<T> operator+(const Vector2D<T>& a, typename Vector2D<T>::TParam b);
template<typename T> Vector2D<T> operator-(const Vector2D<T>& a, typename Vector2D<T>::TParam b);
template<typename T> Vector2D<T> operator*(const Vector2D<T>& a, typename Vector2D<T>::TParam b);
template<typename T> Vector2D<T> operator/(const Vector2D<T>& a, typename Vector2D<T>::TParam b);

template<typename T> Vector2D<T> operator+(typename Vector2D<T>::TParam a, const Vector2D<T>& b);
template<typename T> Vector2D<T> operator-(typename Vector2D<T>::TParam a, const Vector2D<T>& b);
template<typename T> Vector2D<T> operator*(typename Vector2D<T>::TParam a, const Vector2D<T>& b);
// we don't allow scalar / vector.  you can do scalar * vector.reciprocal() for that.

template<typename T> Vector2D<T> pointwiseMin(const Vector2D<T>& a, const Vector2D<T>& b);
template<typename T> Vector2D<T> pointwiseMax(const Vector2D<T>& a, const Vector2D<T>& b);

template <typename T> Vector2D<T> lerp(typename Vector2D<T>::TParam a, const Vector2D<T>& b, typename Vector2D<T>::TParam t);

template<typename T, typename Char, typename Traits>
std::basic_ostream<Char, Traits>& operator<<(std::basic_ostream<Char, Traits>& stream, const Vector2D<T>& b);
template<typename T, typename Char, typename Traits>
std::basic_istream<Char, Traits>& operator>>(std::basic_istream<Char, Traits>& ioIStream, Vector2D<T>& b);

template<typename T> io::XmlOStream& operator<<(io::XmlOStream& stream, const Vector2D<T>& b);



}

}

#include "vector_2d.inl"

#define LASS_PRIM_HAVE_PY_EXPORT_TRAITS_VECTOR_2D
#ifdef LASS_GUARDIAN_OF_INCLUSION_UTIL_PYOBJECT_PLUS_H
#   include "pyobject_util.h"
#endif

#endif