linearalgebra.hh File Reference

Include dependency graph for linearalgebra.hh:

Classes
struct	a3d::Math< T >
	Template-based math functions providing the essential operators for a specific type. More...
struct	a3d::Vector3< T, M >
	A vector of three values for 3d calculations. More...
struct	a3d::Vector4< T, M >
	A vector of four values for 3d calculations in homogeneous coordinates. More...
struct	a3d::Rotation< T, M >
	A rotation struct. More...
struct	a3d::Quaternion< T, M >
	A quaternion struct primarily for rotation representations and calculations. More...
struct	a3d::Matrix3< T, M >
	A matrix of nine values for 3d calculations. More...
struct	a3d::Matrix4< T, M >
	A matrix of 16 values for 3d calculations in homogeneous coordinates. More...
struct	a3d::Math< T >
	Template-based math functions providing the essential operators for a specific type. More...
struct	a3d::Vector3< T, M >
	A vector of three values for 3d calculations. More...
struct	a3d::Vector4< T, M >
	A vector of four values for 3d calculations in homogeneous coordinates. More...
struct	a3d::Rotation< T, M >
	A rotation struct. More...
struct	a3d::Quaternion< T, M >
	A quaternion struct primarily for rotation representations and calculations. More...
struct	a3d::Matrix3< T, M >
	A matrix of nine values for 3d calculations. More...
struct	a3d::Matrix4< T, M >
	A matrix of 16 values for 3d calculations in homogeneous coordinates. More...
struct	a3d::Matrix4< T, M >::Interpolator
	Struct performing interpolation between two matrices. More...

Namespaces
	a3d
	KJs Algebra 3D Package for C++.

Macros
#define	A3D_WARNING_EXPENSIVE(S)   /*S*/
#define	A3D_WARNING_OPERATOR(S)   /*S*/

Typedefs
typedef Vector3< float >	a3d::Vector3f
	Floating point vector, single precision. More...
typedef Vector3< double >	a3d::Vector3d
	Floating point vector, double precision. More...
typedef Vector4< float >	a3d::Vector4f
	Floating point vector in homogenious coordinates, single precision. More...
typedef Vector4< double >	a3d::Vector4d
	Floating point vector in homogenious coordinates, double precision. More...
typedef Rotation< float >	a3d::Rotationf
	Floating point rotation. More...
typedef Rotation< double >	a3d::Rotationd
	Floating point rotation, double precision. More...
typedef Quaternion< float >	a3d::Quaternionf
	Floating point quaternion. More...
typedef Quaternion< double >	a3d::Quaterniond
	Floating point quaternion, double precision. More...
typedef Matrix3< float >	a3d::Matrix3f
	Floating point matrix. More...
typedef Matrix3< double >	a3d::Matrix3d
	Floating point matrix, double precision. More...
typedef Matrix4< float >	a3d::Matrix4f
	Floating point matrix. More...
typedef Matrix4< double >	a3d::Matrix4d
	Floating point matrix, double precision. More...

Functions
template<class S1 , class S2 >
S1 &	a3d::operator+= (S1 &o1, const S2 &o2)
	Operator. More...
template<class S1 , class S2 >
S1 &	a3d::operator-= (S1 &o1, const S2 &o2)
	Operator. More...
template<class S1 , class S2 >
S1 &	a3d::operator*= (S1 &o1, const S2 &o2)
	This operator is defined as o1 = o2 * o1. More...
template<class S1 , class S2 >
S1 &	a3d::operator/= (S1 &o1, const S2 &o2)
	Operator. More...
template<class T , class M >
T	a3d::operator* (const Vector3< T, M > &o1, const Vector3< T, M > &o2)
	Operator. More...
template<class T , class M >
T	a3d::operator* (const Vector4< T, M > &o1, const Vector4< T, M > &o2)
	Operator. More...
template<class T , class M >
Vector3< T, M >	a3d::operator% (const Vector3< T, M > &o1, const Vector3< T, M > &o2)
	The cross product operator. More...
template<class T , class M >
Vector3< T, M >	a3d::operator+ (const Vector3< T, M > &o1, const Vector3< T, M > &o2)
	Operator. More...
template<class T , class M >
Vector3< T, M >	a3d::operator- (const Vector3< T, M > &o1, const Vector3< T, M > &o2)
	Operator. More...
template<class T , class M >
Vector4< T, M >	a3d::operator+ (const Vector4< T, M > &o1, const Vector4< T, M > &o2)
	Operator. More...
template<class T , class M >
Vector4< T, M >	a3d::operator- (const Vector4< T, M > &o1, const Vector4< T, M > &o2)
	Operator. More...
template<class S , class T , class M >
Vector3< T, M >	a3d::operator* (S o1, const Vector3< T, M > &o2)
	Vector scaling operator. More...
template<class S , class T , class M >
Vector3< T, M >	a3d::operator* (const Vector3< T, M > &o1, S o2)
	Vector scaling operator. More...
template<class S , class T , class M >
Vector3< T, M >	a3d::operator/ (const Vector3< T, M > &o1, S o2)
	Vector scaling operator. More...
template<class S , class T , class M >
Vector4< T, M >	a3d::operator* (S o1, const Vector4< T, M > &o2)
	Vector scaling operator. More...
template<class S , class T , class M >
Vector4< T, M >	a3d::operator* (const Vector4< T, M > &o1, S o2)
	Vector scaling operator. More...
template<class S , class T , class M >
Vector4< T, M >	a3d::operator/ (const Vector4< T, M > &o1, S o2)
	Vector scaling operator. More...
template<class S , class T , class M >
Quaternion< T, M >	a3d::operator* (S o1, const Quaternion< T, M > &o2)
	Warning for this operator: a multiplication with a scalar destroys the unity of the quaternion. More...
template<class S , class T , class M >
Quaternion< T, M >	a3d::operator* (const Quaternion< T, M > &o1, S o2)
	Warning for this operator: a multiplication with a scalar destroys the unity of the quaternion. More...
template<class T , class M >
Quaternion< T, M >	a3d::operator* (const Quaternion< T, M > &o1, const Quaternion< T, M > &o2)
	Quaternion multiplication operator. More...
template<class S , class T , class M >
Quaternion< T, M >	a3d::operator/ (const Quaternion< T, M > &o1, S o2)
	Warning for this operator: a division by a scalar destroys the unity of the quaternion. More...
template<class T , class M >
Quaternion< T, M >	a3d::operator/ (const Quaternion< T, M > &o1, const Quaternion< T, M > &o2)
	Warning for this operator: division between two quaternions is not uniquely defined so make sure that you know what you are doing. More...
template<class T , class M >
Quaternion< T, M >	a3d::operator+ (const Quaternion< T, M > &o1, const Quaternion< T, M > &o2)
	Quaternion addition operator. More...
template<class T , class M >
Quaternion< T, M >	a3d::operator- (const Quaternion< T, M > &o1, const Quaternion< T, M > &o2)
	Quaternion substraction operator. More...
template<class T , class S , class M >
Matrix3< T, M >	a3d::operator* (const S &o1, const Matrix3< T, M > &o2)
	Matrix scaling operator. More...
template<class T , class S , class M >
Matrix4< T, M >	a3d::operator* (const S &o1, const Matrix4< T, M > &o2)
	Matrix scaling operator. More...
template<class T , class S , class M >
Matrix3< T, M >	a3d::operator/ (const Matrix3< T, M > &o1, const S &o2)
	Matrix scaling operator. More...
template<class T , class S , class M >
Matrix4< T, M >	a3d::operator/ (const Matrix4< T, M > &o1, const S &o2)
	Matrix scaling operator. More...
template<class T , class M >
Matrix3< T, M >	a3d::operator* (const Matrix3< T, M > &o1, const Matrix3< T, M > &o2)
	Matrix matrix multiplication operator. More...
template<class T , class M >
Matrix4< T, M >	a3d::operator* (const Matrix4< T, M > &o1, const Matrix4< T, M > &o2)
	Matrix matrix multiplication operator. More...
template<class T , class M >
Vector3< T, M >	a3d::operator* (const Matrix3< T, M > &o1, const Vector3< T, M > &o2)
	Matrix vector multiplication operator. More...
template<class T , class M >
Matrix3< T, M >	a3d::operator* (const Vector3< T, M > &o1, const Matrix3< T, M > &o2)
	Vector matrix multiplication operator. More...
template<class T , class M >
Vector4< T, M >	a3d::operator* (const Matrix4< T, M > &o1, const Vector4< T, M > &o2)
	Matrix vector multiplication operator. More...
template<class T , class M >
Matrix4< T, M >	a3d::operator* (const Vector4< T, M > &o1, const Matrix4< T, M > &o2)
	Vector matrix multiplication operator. More...
template<class T , class M >
std::ostream &	a3d::operator<< (std::ostream &out, const Vector3< T, M > &o)
	Printing operator. More...
template<class T , class M >
std::ostream &	a3d::operator<< (std::ostream &out, const Vector4< T, M > &o)
	Printing operator. More...
template<class T , class M >
std::ostream &	a3d::operator<< (std::ostream &out, const Quaternion< T, M > &o)
	Printing operator. More...
template<class T , class M >
std::ostream &	a3d::operator<< (std::ostream &out, const Rotation< T, M > &o)
	Printing operator. More...
template<class T , class M >
std::ostream &	a3d::operator<< (std::ostream &out, const Matrix3< T, M > &o)
	Printing operator. More...
template<class T , class M >
std::ostream &	a3d::operator<< (std::ostream &out, const Matrix4< T, M > &o)
	Printing operator. More...

Macro Definition Documentation

#define A3D_WARNING_EXPENSIVE

(

S

)

/*S*/

Referenced by a3d::Matrix3< T, M >::comatrix(), a3d::Matrix4< T, M >::comatrix(), a3d::Matrix3< T, M >::determinant(), a3d::Matrix4< T, M >::determinant(), a3d::Quaternion< T, M >::inverse(), a3d::Matrix3< T, M >::inverse(), and a3d::Matrix4< T, M >::inverse().

#define A3D_WARNING_OPERATOR

(

S

)

/*S*/

Referenced by a3d::operator*(), and a3d::operator/().