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// -*- related-file-name: "../../liblcdf/point.cc" -*-
#ifndef LCDF_POINT_HH
#define LCDF_POINT_HH
#include <math.h>
struct Point {
double x;
double y;
Point() { }
Point(double xx, double yy) : x(xx), y(yy) { }
// Point(const Point &) use compiler default
Point(const Point &p, double dx, double dy) : x(p.x + dx), y(p.y + dy) { }
// ~Point() use compiler default
inline double squared_length() const noexcept;
inline double length() const noexcept;
inline double magnitude() const noexcept;
static inline double distance(const Point &, const Point &) noexcept;
static inline double dot(const Point &, const Point &) noexcept;
static Point midpoint(const Point &, const Point &) noexcept;
inline double angle() const noexcept;
void shift(double dx, double dy) { x += dx; y += dy; }
inline Point shifted(double dx, double dy) const noexcept;
Point rotated(double) const noexcept;
inline Point normal() const noexcept;
bool on_line(const Point &, const Point &, double) const noexcept;
bool on_segment(const Point &, const Point &, double) const noexcept;
inline Point &operator+=(const Point &) noexcept;
inline Point &operator-=(const Point &) noexcept;
inline Point &operator*=(double) noexcept;
inline Point &operator/=(double) noexcept;
// Point operator+(Point, const Point &);
// Point operator-(Point, const Point &);
// Point operator*(Point, double);
// Point operator/(Point, double);
// Point operator-(const Point &);
// bool operator==(const Point &, const Point &);
// bool operator!=(const Point &, const Point &);
};
inline double
Point::squared_length() const noexcept
{
return x*x + y*y;
}
inline double
Point::length() const noexcept
{
return sqrt(x*x + y*y);
}
inline double
Point::magnitude() const noexcept
{
return length();
}
inline double
Point::angle() const noexcept
{
return atan2(y, x);
}
inline Point
Point::shifted(double dx, double dy) const noexcept
{
return Point(x + dx, y + dy);
}
inline Point
Point::normal() const noexcept
{
double l = length();
return (l ? Point(x/l, y/l) : *this);
}
inline Point &
Point::operator+=(const Point &p) noexcept
{
x += p.x;
y += p.y;
return *this;
}
inline Point &
Point::operator-=(const Point &p) noexcept
{
x -= p.x;
y -= p.y;
return *this;
}
inline Point &
Point::operator*=(double d) noexcept
{
x *= d;
y *= d;
return *this;
}
inline Point &
Point::operator/=(double d) noexcept
{
x /= d;
y /= d;
return *this;
}
inline bool
operator==(const Point &a, const Point &b) noexcept
{
return a.x == b.x && a.y == b.y;
}
inline bool
operator!=(const Point &a, const Point &b) noexcept
{
return a.x != b.x || a.y != b.y;
}
inline Point
operator+(Point a, const Point &b) noexcept
{
a += b;
return a;
}
inline Point
operator-(Point a, const Point &b) noexcept
{
a -= b;
return a;
}
inline Point
operator-(const Point &a) noexcept
{
return Point(-a.x, -a.y);
}
inline Point
operator*(Point a, double scale) noexcept
{
a *= scale;
return a;
}
inline Point
operator*(double scale, Point a) noexcept
{
a *= scale;
return a;
}
inline Point
operator/(Point a, double scale) noexcept
{
a /= scale;
return a;
}
inline double
Point::distance(const Point &a, const Point &b) noexcept
{
return (a - b).length();
}
inline double
Point::dot(const Point &a, const Point &b) noexcept
{
return a.x*b.x + a.y*b.y;
}
#endif
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