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/*
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 <cassert>
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__
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