/* vector3f.h This file is part of the Project::OSiRiON world editor and is distributed under the terms and conditions of the GNU General Public License version 2 */ #ifndef __INCLUDED_EDITOR_VECTOR3F__ #define __INCLUDED_EDITOR_VECTOR3F__ #include namespace editor { /** * @brief a point or vector in 3D space * An instance of this class represents a point in 3D-space or a 3D-vector * and forms the basic building block for all spatial calculations. */ class Vector3f { public: /** * @brief default constructor, assigns (0,0,0) * */ Vector3f(); /** * @brief copy constructor * Create a new Vector3f that is a copy from an other * @param other the vector to copy values from */ Vector3f(const Vector3f &other); /** * @brief create a Vector3f with given coordinates * @param x the x-coordinate of the location * @param y the y-coordinate of the location * @param z the z-coordinate of the location */ Vector3f(const float x, const float y, const float z); /// destructor ~Vector3f(); /* -- Assignment operators -- */ /// assign (0, 0, 0) void clear(); /// assignment void assign(const float x, const float y, const float z); /// assignment void assign(const Vector3f & other); /// assignment operator Vector3f& operator=(const Vector3f &other); /// scalar multiplication assignment /** @param scalar multiplication factor */ Vector3f& operator*=(const float scalar); /// scalar division assignment /** @param scalar divider */ Vector3f& operator/=(const float scalar); /// vector sum assignment Vector3f& operator+=(const Vector3f &other); /// vector difference assignment Vector3f& operator-=(const Vector3f &other); /* -- Mathematical operators -- */ /// scalar multiplication inline Vector3f operator*(const float scalar) const { Vector3f v(coord[0] * scalar, coord[1] * scalar, coord[2] * scalar); return v; } /// scalar division Vector3f operator/(const float scalar) const { Vector3f v(coord[0] / scalar, coord[1] / scalar, coord[2] / scalar); return v; } /// vector sum inline Vector3f operator+(const Vector3f &other) const { Vector3f v(coord[0] + other.coord[0], coord[1] + other.coord[1], coord[2] + other.coord[2]); return v; } /// vector difference inline Vector3f operator-(const Vector3f &other) const { Vector3f v(coord[0] - other.coord[0], coord[1] - other.coord[1], coord[2] - other.coord[2]); return v; } /// comparison operator bool operator==(const Vector3f &other) const; /// assign a value to an element of this vector /*! range is not checked * @param index the index of the element to assign to ( 0 <= index < 3 ) */ inline float& operator[](const int index) { assert ((0 <= index) && (index < 3)); return coord[index]; } /// returns the value of an element of this vector /*! range is not checked * @param index the index of the element to return ( 0 <= index < 3 ) */ inline float operator[](const int index) const { assert ((0 <= index) && (index < 3)); return coord[index]; } /// x coordinate inline float x() const { return coord[0]; } /// y coordinate inline float y() const { return coord[1]; } /// z coordinate inline float z() const { return coord[2]; } /// mutable reference to the x coordinate inline float & get_x() { return coord[0]; } /// mutable reference to the y coordinate inline float & get_y() { return coord[1]; } /// mutable reference to the z coordinate inline float & get_z() { return coord[2]; } /// a pointer to the internal data inline float *ptr() const { return (float *) coord; } /// cartesian length float length() const; /// cartesian length squared float lengthsquared() const; /// divide this Vector by its length /// @see normalized() /// vector must not be (0, 0, 0) void normalize(); /* static functions */ /// Returns the unity vector on the X-axis static inline Vector3f Xaxis() { return Vector3f(1.0f, 0.0f, 0.0f); } /// Returns the unity vector on the Y-axis static inline Vector3f Yaxis() { return Vector3f(0.0f, 1.0f, 0.0f); } /// Returns the unity vector on the Z-axis static inline Vector3f Zaxis() { return Vector3f(0.0f, 0.0f, 1.0f); } /// cartesian lenght static inline float length(const Vector3f & vector) { return vector.length(); } /// Return a vector divided by it's length /// @see normalize() /// WARNING: vector must not be (0, 0, 0) static inline Vector3f normalized(const Vector3f & vector) { return (vector / vector.length()); } private: float coord[3]; }; /// scalar * Vector3f operators Vector3f operator*(float scalar, const Vector3f & vector); /// vector cross product const Vector3f crossproduct(const Vector3f & first, const Vector3f & second); /// vector dot product float dotproduct(const Vector3f& first, const Vector3f & second); /// distance between two vectors float distance(const Vector3f& first, const Vector3f& second); /// distance between two vectors squared float distancesquared(const Vector3f& first, const Vector3f& second); /// calculate the normal of a plane defined by three vertices inline const Vector3f normal(const Vector3f & center, const Vector3f & u, const Vector3f & v) { Vector3f r = crossproduct(u - center, v - center); r.normalize(); return r; } } // namespace math #endif // __INCLUDED_EDITOR_VECTOR3F__