/*************************************************************************
** Pair.hpp                                                             **
**                                                                      **
** This file is part of dvisvgm -- a fast DVI to SVG converter          **
** Copyright (C) 2005-2024 Martin Gieseking <martin.gieseking@uos.de>   **
**                                                                      **
** This program is free software; you can redistribute it and/or        **
** modify it under the terms of the GNU General Public License as       **
** published by the Free Software Foundation; either version 3 of       **
** the License, or (at your option) any later version.                  **
**                                                                      **
** This program 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 General Public License for more details.                         **
**                                                                      **
** You should have received a copy of the GNU General Public License    **
** along with this program; if not, see <http://www.gnu.org/licenses/>. **
*************************************************************************/

#ifndef PAIR_HPP
#define PAIR_HPP

#include <cmath>
#include <cstdint>
#include <ostream>
#include "macros.hpp"

template <typename T>
class Pair {
	public:
		explicit Pair (T x=0, T y=0) : _x(x), _y(y) {}
		template <typename U> Pair (const Pair<U> &p) : _x(U(p.x())), _y(U(p.y())) {}
		Pair (const Pair &p) =default;
		Pair (Pair &&p) =default;
		Pair& operator = (const Pair &p) =default;
		Pair& operator = (Pair &&p) =default;
		Pair operator += (const Pair &p)       {_x += p._x; _y += p._y; return *this;}
		Pair operator -= (const Pair &p)       {_x -= p._x; _y -= p._y; return *this;}
		Pair operator *= (T c)                 {_x *= c; _y *= c; return *this;}
		Pair operator /= (T c)                 {_x /= c; _y /= c; return *this;}
		Pair operator - () const               {return Pair(-_x, -_y);}
		Pair ortho () const                    {return Pair(-_y, _x);}
		double length () const                 {return std::hypot(_x, _y);}
		bool operator == (const Pair &p) const {return _x == p._x && _y == p._y;}
		bool operator != (const Pair &p) const {return _x != p._x || _y != p._y;}
		T x () const                           {return _x;}
		T y () const                           {return _y;}
		void x (const T &xx)                   {_x = xx;}
		void y (const T &yy)                   {_y = yy;}
		std::ostream& write (std::ostream &os) const {return os << '(' << _x << ',' << _y << ')';}

	private:
		T _x, _y;
};

template <typename T>
inline Pair<T> abs (const Pair<T> &p) {
	return Pair<T>(std::abs(p.x()), std::abs(p.y()));
}

/** Returns the dot product of two 2D vectors. */
template <typename T>
inline T dot (const Pair<T> &p1, const Pair<T> &p2) {
	return p1.x()*p1.y() + p1.y()*p2.y();
}

/** Returns the determinant of two 2D vectors. */
template <typename T>
inline T det (const Pair<T> &p1, const Pair<T> &p2) {
	return p1.x()*p2.y() - p1.y()*p2.x();
}

struct Pair32 : public Pair<int32_t> {
	explicit Pair32 (int32_t x=0, int32_t y=0) : Pair<int32_t>(x, y) {}
	explicit Pair32 (double x, double y) : Pair<int32_t>(lround(x), lround(y)) {}
	explicit Pair32 (const Pair<double> &p) : Pair32(p.x(), p.y()) {}
	Pair32 (const Pair<int32_t> &p) : Pair<int32_t>(p) {}
};

typedef Pair<double> DPair;

inline DPair round (const DPair &p) {
	return DPair(std::lround(p.x()), std::lround(p.y()));
}


template<> template<>
inline Pair<int>::Pair (const Pair<double> &p) : _x(int(round(p.x()))), _y(int(round(p.y()))) {}


template <typename T>
IMPLEMENT_ARITHMETIC_OPERATOR(Pair<T>, +)

template <typename T>
IMPLEMENT_ARITHMETIC_OPERATOR(Pair<T>, -)

template <typename T>
IMPLEMENT_ARITHMETIC_OPERATOR2(Pair<T>, T, *)

template <typename T>
IMPLEMENT_ARITHMETIC_OPERATOR2(Pair<T>, T, /)

template <typename T>
IMPLEMENT_OUTPUT_OPERATOR(Pair<T>)

IMPLEMENT_ARITHMETIC_OPERATOR2(Pair32, int32_t, *)
#endif