CRNPoint2D.h

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/* Copyright 2008-2016 INSA Lyon, CoReNum, ENS-Lyon
 * 
 * This file is part of libcrn.
 * 
 * libcrn 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 3 of the License, or
 * (at your option) any later version.
 * 
 * libcrn 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 libcrn.  If not, see <http://www.gnu.org/licenses/>.
 * 
 * file: CRNPoint2D.h
 * \author Yann LEYDIER
 */

#ifndef CRNPOINT2D_HEADER
#define CRNPOINT2D_HEADER

#include <CRNObject.h>
#include <CRNString.h>
#include <CRNMath/CRNMath.h>
#include <type_traits>

namespace crn
{
    /****************************************************************************/
    template<typename T> class Point2D: public Object
    {
        public:
            using value_type = T;

            Point2D() noexcept(noexcept(T{0})) : X(0),Y(0) {}
            Point2D(T x, T y) noexcept(std::is_nothrow_copy_constructible<T>::value) : X(x),Y(y) {}
            Point2D(const Point2D &) = default;
            Point2D(Point2D &&) = default;
            virtual ~Point2D() override = default;

            String ToString() const { return String(U'(') + X + String(U" × ") + Y + String(U')'); }

            value_type X, Y; 
            template<typename U> Point2D<U> Convert() const noexcept(noexcept(U{X})) { return Point2D<U>(U(X), U(Y)); }

            Point2D& operator=(const Point2D &) = default;
            Point2D& operator=(Point2D &&) = default;

            bool operator==(const Point2D &p) const noexcept { return (X == p.X) && (Y == p.Y); }
            Point2D<T>& operator+=(const Point2D<T> &p) noexcept { X += p.X; Y += p.Y; return *this; }
            Point2D<T>& operator-=(const Point2D<T> &p) noexcept { X -= p.X; Y -= p.Y; return *this; }

            struct Comparer
            {
                public:
                    Comparer(Direction dir): direction(dir) { }
                    bool operator()(const Point2D &p1, const Point2D &p2) const
                    {
                        if (direction == Direction::LEFT)
                            return p1.X < p2.X;
                        else if (direction == Direction::RIGHT)
                            return p1.X > p2.X;
                        else if (direction == Direction::TOP)
                            return p1.Y < p2.Y;
                        else
                            return p1.Y > p2.Y;
                    }
                private:
                    Direction direction; 
            };
    };

    template<typename T> double Distance(const Point2D<T> &p1, const Point2D<T> &p2, DistanceType dt = DistanceType::EUCLIDEAN)
    {
        switch (dt)
        {
            case DistanceType::D4:
                return Abs(p1.X - p2.X) + Abs(p1.Y - p2.Y);
            case DistanceType::D8:
                return Max(Abs(p1.X - p2.X), Abs(p1.Y - p2.Y));
            case DistanceType::EUCLIDEAN:
                return sqrt(Sqr(p1.X - p2.X) + Sqr(p1.Y - p2.Y));
            default:
                throw ExceptionInvalidArgument("double Distance(const Point2D<T>&, const Point2D<T>&, DistanceType): invalid distance type.");
        }
    }
}

template<typename T> crn::Point2D<T> operator+(crn::Point2D<T> p1, const crn::Point2D<T> &p2) noexcept { return p1 += p2; }
template<typename T> crn::Point2D<T> operator-(crn::Point2D<T> p1, const crn::Point2D<T> &p2) noexcept { return p1 -= p2; }
template<typename T> crn::Point2D<double> operator*(double d, const crn::Point2D<T> &p) noexcept { return {p.X * d, p.Y * d}; }
template<typename T> crn::Point2D<double> operator*(const crn::Point2D<T> &p, double d) noexcept { return {p.X * d, p.Y * d}; }

#endif