/*

    ......... 2015 Ivan Mahonin

    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: licenses="" www.gnu.org="">.</http:>

*/

#ifndef _GEOMETRY_H_

#define _GEOMETRY_H_

#include <cmath></cmath>

#include <algorithm></algorithm>

#ifndef M_PI

#define M_PI 3.14159265358979323846

#endif

typedef double Real;

template<typename t=""></typename>

bool intersects(const T &a0, const T &a1, const T &b0, const T &b1) {

	return !(std::max(b0, b1) < std::min(a0, a1))

	    && !(std::max(a0, a1) < std::min(b0, b1));

}

inline Real wrap_angle(Real a, Real round) {

	Real rounds = a/round + 0.5;

	return (rounds - floor(rounds) - 0.5)*round;

}

inline bool angle_between(Real a0, Real a1, Real a, Real round) {

	if (a1 < a0) std::swap(a0, a1);

	a0 = wrap_angle(a0, round);

	a1 = wrap_angle(a1, round);

	a = wrap_angle(a, round);

	if (a < a0) a += round;

	if (a1 < a0) a1 += round;

	return a0 < a && a < a1;

}

template<typename t=""></typename>

class vec2 {

public:

	typedef T type;

	union {

		struct { type x, y; };

		struct { type coords[2]; };

	};

	vec2():

		x(), y() { }

	vec2(const type &x, const type &y):

		x(x), y(y) { }

	template<typename tt=""></typename>

	explicit vec2(const vec2<tt> &other):</tt>

		x((type)other.x), y((type)other.y) { }

	type& operator[] (int index)

		{ return coords[index]; }

	const type& operator[] (int index) const

		{ return coords[index]; }

	bool is_equal_to(const vec2 &other) const

		{ return fabs(x - other.x) < 1e-6 && fabs(y - other.y) < 1e-6; }

	vec2 operator+(const vec2 &a) const

		{ return vec2(x + a.x, y + a.y); }

	vec2 operator-(const vec2 &a) const

		{ return vec2(x - a.x, y - a.y); }

	vec2 operator*(const vec2 &a) const

		{ return vec2(x*a.x, y*a.y); }

	vec2 operator/(const vec2 &a) const

		{ return vec2(x/a.x, y/a.y); }

	vec2 operator*(const type &a) const

		{ return vec2(x*a, y*a); }

	vec2 operator/(const type &a) const

		{ return vec2(x/a, y/a); }

	type dot(const vec2 &a) const

		{ return x*a.x + y*a.y; }

	static vec2 zero() { return vec2(); }

};

template<typename t=""></typename>

class line2 {

public:

	typedef T type;

	vec2<type> p0, p1;</type>

	line2() { }

	line2(const vec2<type> &p0, const vec2<type> &p1): p0(p0), p1(p1) { }</type></type>

	line2(const type &x0, const type &y0, const type &x1, const type &y1): p0(x0, y0), p1(x1, y1) { }

};

template<typename t=""></typename>

class rect {

public:

	typedef T type;

	vec2<type> p0, p1;</type>

    bool intersects(const rect &other) const

        { return ::intersects(p0.x, p1.x, other.p0.x, other.p1.x)

              && ::intersects(p0.y, p1.y, other.p0.y, other.p1.y); }

    rect expand(const vec2<type> &p) const {</type>

    	rect r;

    	r.p0.x = std::min(std::min(p0.x, p1.x), p.x);

    	r.p0.y = std::min(std::min(p0.y, p1.y), p.y);

    	r.p1.x = std::max(std::max(p0.x, p1.x), p.x);

    	r.p1.y = std::max(std::max(p0.y, p1.y), p.y);

    	return r;

    }

    rect() { }

    rect(const vec2<type> &p0, const vec2<type> &p1): p0(p0), p1(p1) { }</type></type>

    rect(const type &x0, const type &y0, const type &x1, const type &y1): p0(x0, y0), p1(x1, y1) { }

};

typedef vec2<real> Vector;</real>

typedef line2<real> Line;</real>

typedef rect<real> Rect;</real>

typedef vec2<float> vec2f;</float>

typedef line2<float> line2f;</float>

typedef rect<float> rectf;</float>

typedef vec2<int> vec2i;</int>

typedef line2<int> line2i;</int>

typedef rect<int> recti;</int>

class ContextRect {

public:

	int minx, miny, maxx, maxy;

	ContextRect(): minx(), miny(), maxx(), maxy() { }

};

#endif