This documentation is automatically generated by online-judge-tools/verification-helper
#include "geo3d/base.hpp"
template <typename T>
struct Point_3d {
T x, y, z;
Point_3d() = default;
template <typename A, typename B, typename C>
Point_3d(A x, B y, C z) : x(x), y(y), z(z) {}
Point_3d operator+(Point_3d p) const { return {x + p.x, y + p.y, z + p.z}; }
Point_3d operator-(Point_3d p) const { return {x - p.x, y - p.y, z - p.z}; }
Point_3d operator*(T t) const { return {x * t, y * t, z * t}; }
bool operator==(Point_3d p) const { return x == p.x && y == p.y && z == p.z; }
bool operator!=(Point_3d p) const { return x != p.x || y != p.y || z == p.z; }
Point_3d operator-() const { return {-x, -y, -z}; }
bool is_parallel(Point_3d p) const {
return x * p.y == y * p.x && y * p.z == z * p.y && z * p.x == x * p.z;
}
T dot(Point_3d other) { return x * other.x + y * other.y + z * other.z; }
double norm() { return sqrt(x * x + y * y + z * z); }
Point_3d cross(Point_3d other) {
return Point_3d(y * other.z - z * other.y, z * other.x - x * other.z,
x * other.y - y * other.x);
}
};
#line 1 "geo3d/base.hpp"
template <typename T>
struct Point_3d {
T x, y, z;
Point_3d() = default;
template <typename A, typename B, typename C>
Point_3d(A x, B y, C z) : x(x), y(y), z(z) {}
Point_3d operator+(Point_3d p) const { return {x + p.x, y + p.y, z + p.z}; }
Point_3d operator-(Point_3d p) const { return {x - p.x, y - p.y, z - p.z}; }
Point_3d operator*(T t) const { return {x * t, y * t, z * t}; }
bool operator==(Point_3d p) const { return x == p.x && y == p.y && z == p.z; }
bool operator!=(Point_3d p) const { return x != p.x || y != p.y || z == p.z; }
Point_3d operator-() const { return {-x, -y, -z}; }
bool is_parallel(Point_3d p) const {
return x * p.y == y * p.x && y * p.z == z * p.y && z * p.x == x * p.z;
}
T dot(Point_3d other) { return x * other.x + y * other.y + z * other.z; }
double norm() { return sqrt(x * x + y * y + z * z); }
Point_3d cross(Point_3d other) {
return Point_3d(y * other.z - z * other.y, z * other.x - x * other.z,
x * other.y - y * other.x);
}
};