//------------------------------------------------------------------------------------

//

//  File: Vector2.h

//

//  Abstract: C++ templates for 2-Vector operators and methods

//

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//------------------------------------------------------------------------------------

#ifndef _VECTOR2_H_

#define _VECTOR2_H_

#ifdef __cplusplus

#import <cstddef>

namespace Math

{

    template <typename Type>

    class Vector2

    {

    public:

        Vector2();

        Vector2(const Type &k);

        Vector2(const Type &X, const Type &Y);

        Vector2(const Type * const v);

        Vector2(const Vector2<Type> &v);

        Vector2(const Vector2<Type> * const v);

        Vector2<Type> &operator=(const Vector2<Type> &v);

        Vector2<Type> &operator=(const Type * const v);

        Vector2<Type> &operator=(const Type &k);

        const Vector2<Type> operator+(const Vector2<Type> &v) const;

        const Vector2<Type> operator-(const Vector2<Type> &v) const;

        const Type          operator*(const Vector2<Type> &v) const;  // Interior dot product

        Vector2<Type> &operator+=(const Vector2<Type> &v);

        Vector2<Type> &operator-=(const Vector2<Type> &v);

        const Vector2<Type> operator+(const Type &k) const;

        const Vector2<Type> operator-(const Type &k) const;

        const Vector2<Type> operator*(const Type &k) const;

        const Vector2<Type> operator/(const Type &k) const;

        Vector2<Type> &operator+=(const Type &k);

        Vector2<Type> &operator-=(const Type &k);

        Vector2<Type> &operator*=(const Type &k);

        Vector2<Type> &operator/=(const Type &k);

        Vector2<Type> operator+() const;

        Vector2<Type> operator-() const;

        Type &operator[](const std::size_t &i);

        const Type &operator[](const std::size_t &i) const;

        const Type bound(const Type &radius) const;

        void swap();

    public:

        union

        {

            Type array[2];

            union

            {

                struct{ Type x, y;};

                struct{ Type s, t; };

                struct{ Type u, v; };

            }; // struct

        }; // union

    }; // Vector2

    double arg(const Vector2<double> &v);

    float  arg(const Vector2<float>  &v);

    double atan2(const Vector2<double> &v);

    float  atan2(const Vector2<float>  &v);

    double sqr(const Vector2<double> &v);

    float  sqr(const Vector2<float>  &v);

    double abs(const Vector2<double> &v);

    float  abs(const Vector2<float>  &v);

    double norm(const Vector2<double> &v);

    float  norm(const Vector2<float>  &v);

    double inorm(const Vector2<double> &v);

    float  inorm(const Vector2<float>  &v);

    double dist(const Vector2<double> &u, const Vector2<double> &v);

    float  dist(const Vector2<float>  &u, const Vector2<float>  &v);

    double cos(const Vector2<double> &u, const Vector2<double> &v);

    float  cos(const Vector2<float>  &u, const Vector2<float>  &v);

    Vector2<double> norml(const Vector2<double> &v);

    Vector2<float>  norml(const Vector2<float>  &v);

    Vector2<double> norml(const double &e, const Vector2<double> &v);

    Vector2<float>  norml(const float  &e, const Vector2<float>  &v);

    Vector2<double> orthn(const Vector2<double> &u, const Vector2<double> &v);

    Vector2<float>  orthn(const Vector2<float>  &u, const Vector2<float>  &v);

    Vector2<double> proj(const Vector2<double> &u, const Vector2<double> &v);

    Vector2<float>  proj(const Vector2<float>  &u, const Vector2<float>  &v);

    Vector2<double> orthn(const double &e, const Vector2<double> &u, const Vector2<double> &v);

    Vector2<float>  orthn(const float  &e, const Vector2<float>  &u, const Vector2<float>  &v);

    Vector2<double> diff(const Vector2<double> &u, const Vector2<double> &v);

    Vector2<float>  diff(const Vector2<float>  &u, const Vector2<float>  &v);

} // Math

#endif

#endif