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#ifndef POINT3D_H
#define POINT3D_H

struct Point3d
{
    float x, y, z;

    Point3d()
        : x(0)
        , y(0)
        , z(0)
    {
    }

    Point3d(float x_, float y_, float z_)
        : x(x_)
        , y(y_)
        , z(z_)
    {
    }

    Point3d operator-(const Point3d &p) const
    {
        return Point3d(x - p.x, y - p.y, z - p.z);
    }

    Point3d operator+(const Point3d &p) const
    {
        return Point3d(x + p.x, y + p.y, z + p.z);
    }

    Point3d normalize() const
    {
        float r = 1. / sqrt(x * x + y * y + z * z);
        return Point3d(x * r, y * r, z * r);
    }

    Point3d operator*(float f) const
    {
        return Point3d(x * f, y * f, z * f);
    }
};

inline float dot(const Point3d &a, const Point3d &b)
{
    return a.x * b.x + a.y * b.y + a.z * b.z;
}

inline Point3d cross(const Point3d &a, const Point3d &b)
{
    return Point3d(a.y * b.z - a.z * b.y,
                   a.z * b.x - a.x * b.z,
                   a.x * b.y - a.y * b.x);
}

#endif