This documentation is automatically generated by online-judge-tools/verification-helper
#include "geometry/angle.hpp"
#include "point.hpp"
namespace geometry {
Real radian_to_degree(const Real &theta) { return theta * 180.0 / PI; }
Real degree_to_radian(const Real °) { return deg * PI / 180.0; }
// smaller angle of the a-b-c
Real get_smaller_angle(const Point &a, const Point &b, const Point &c) {
const Point v(a - b), w(c - b);
auto alpha = atan2(imag(v), real(v));
auto beta = atan2(imag(w), real(w));
if (alpha > beta) swap(alpha, beta);
Real theta = (beta - alpha);
return min(theta, 2 * PI - theta);
}
} // namespace geometry
#line 2 "geometry/base.hpp"
namespace geometry {
using Real = double;
const Real EPS = 1e-8;
const Real PI = acos(static_cast<Real>(-1));
enum { OUT, ON, IN };
inline int sign(const Real &r) { return r <= -EPS ? -1 : r >= EPS ? 1 : 0; }
inline bool equals(const Real &a, const Real &b) { return sign(a - b) == 0; }
} // namespace geometry
#line 3 "geometry/point.hpp"
namespace geometry {
using Point = complex<Real>;
istream &operator>>(istream &is, Point &p) {
Real a, b;
is >> a >> b;
p = Point(a, b);
return is;
}
ostream &operator<<(ostream &os, const Point &p) {
return os << real(p) << " " << imag(p);
}
Point operator*(const Point &p, const Real &d) {
return Point(real(p) * d, imag(p) * d);
}
// rotate point p counterclockwise by theta rad
Point rotate(Real theta, const Point &p) {
return Point(cos(theta) * real(p) - sin(theta) * imag(p),
sin(theta) * real(p) + cos(theta) * imag(p));
}
Real cross(const Point &a, const Point &b) {
return real(a) * imag(b) - imag(a) * real(b);
}
Real dot(const Point &a, const Point &b) {
return real(a) * real(b) + imag(a) * imag(b);
}
bool compare_x(const Point &a, const Point &b) {
return equals(real(a), real(b)) ? imag(a) < imag(b) : real(a) < real(b);
}
bool compare_y(const Point &a, const Point &b) {
return equals(imag(a), imag(b)) ? real(a) < real(b) : imag(a) < imag(b);
}
using Points = vector<Point>;
} // namespace geometry
#line 2 "geometry/angle.hpp"
namespace geometry {
Real radian_to_degree(const Real &theta) { return theta * 180.0 / PI; }
Real degree_to_radian(const Real °) { return deg * PI / 180.0; }
// smaller angle of the a-b-c
Real get_smaller_angle(const Point &a, const Point &b, const Point &c) {
const Point v(a - b), w(c - b);
auto alpha = atan2(imag(v), real(v));
auto beta = atan2(imag(w), real(w));
if (alpha > beta) swap(alpha, beta);
Real theta = (beta - alpha);
return min(theta, 2 * PI - theta);
}
} // namespace geometry