4 by 4 float matrix template. More...

#include <ArithSqMat4x4Float.h>

Inheritance diagram for CGLA::ArithSqMat4x4Float< VT, M >:

Public Types
typedef VT	VectorType
	Vector type.

typedef VT::ScalarType	ScalarType
	The type of a matrix element.

Public Types inherited from CGLA::ArithSqMatFloat< VT, M, 4 >
typedef VT	VectorType
	Vector type.

typedef VT::ScalarType	ScalarType
	The type of a matrix element.

Public Types inherited from CGLA::ArithMatFloat< VT, VT, M, ROWS >
typedef VT	HVectorType
	Horizontal vector type.

typedef VT	VVectorType
	Vertical vector type.

typedef VT::ScalarType	ScalarType
	The type of a matrix element.

Public Member Functions
	ArithSqMat4x4Float (VT a, VT b, VT c, VT d) noexcept
	Construct a Mat4x4f from four V vectors.

	ArithSqMat4x4Float () noexcept
	Construct the NAN matrix.

	ArithSqMat4x4Float (ScalarType _a) noexcept
	Construct matrix where all values are equal to constructor argument.

template<class T , class VecT >
const VecT	mul_3D_vector (const ArithVec3Float< T, VecT > &v_in) const

template<class T , class VecT >
const VecT	mul_3D_point (const ArithVec3Float< T, VecT > &v_in) const

template<class T , class VecT >
const VecT	project_3D_point (const ArithVec3Float< T, VecT > &v_in) const

Public Member Functions inherited from CGLA::ArithSqMatFloat< VT, M, 4 >
const M &	operator*= (const M &m2) noexcept

const M &	*operator=** (ScalarType k) noexcept

void	identity ()

Public Member Functions inherited from CGLA::ArithMatFloat< VT, VT, M, ROWS >
const ScalarType *	get () const

ScalarType *	get ()

const VT &	operator[] (unsigned int i) const
	Const index operator. Returns i'th row of matrix.

VT &	operator[] (unsigned int i)
	Non-const index operator. Returns i'th row of matrix.

bool	operator== (const M &v) const
	Equality operator.

bool	operator!= (const M &v) const
	Inequality operator.

const M	operator* (ScalarType k) const
	Multiply scalar onto matrix. All entries are multiplied by scalar.

const M	operator/ (ScalarType k) const
	Divide all entries in matrix by scalar.

const M &	operator*= (ScalarType k)
	Assignment multiplication of matrix by scalar.

const M &	operator/= (ScalarType k)
	Assignment division of matrix by scalar.

const M	operator+ (const M &m1) const
	Add two matrices.

const M	operator- (const M &m1) const
	Subtract two matrices.

const M	operator- () const
	Negate matrix.

const M &	operator+= (const M &v)
	Assigment addition of matrices.

const M &	operator-= (const M &v)
	Assigment subtraction of matrices.

Additional Inherited Members
Static Public Member Functions inherited from CGLA::ArithMatFloat< VT, VT, M, ROWS >
static unsigned int	get_v_dim ()
	Get vertical dimension of matrix.

static unsigned int	get_h_dim ()
	Get horizontal dimension of matrix.

Protected Member Functions inherited from CGLA::ArithSqMatFloat< VT, M, 4 >
	ArithSqMatFloat () noexcept
	Construct 0 matrix.

	ArithSqMatFloat (ScalarType _a) noexcept
	Construct matrix where all values are equal to constructor argument.

	ArithSqMatFloat (VT _a, VT _b) noexcept
	Construct 2x2 Matrix from two vectors.

	ArithSqMatFloat (VT _a, VT _b, VT _c) noexcept
	Construct 3x3 Matrix from three vectors.

	ArithSqMatFloat (VT _a, VT _b, VT _c, VT _d) noexcept
	Construct 4x4 Matrix from four vectors.

Protected Member Functions inherited from CGLA::ArithMatFloat< VT, VT, M, ROWS >
	ArithMatFloat ()
	Construct 0 matrix.

	ArithMatFloat (ScalarType x)
	Construct a matrix where all entries are the same.

	ArithMatFloat (VT_a)
	Construct a matrix where all rows are the same.

	ArithMatFloat (VT_a, VT_b)
	Construct a matrix with two rows.

	ArithMatFloat (VT_a, VT_b, VT_c)
	Construct a matrix with three rows.

	ArithMatFloat (VT_a, VT_b, VT_c, VT_d)
	Construct a matrix with four rows.

Protected Attributes inherited from CGLA::ArithMatFloat< VT, VT, M, ROWS >
VT	data [ROWS]
	The actual contents of the matrix.

Detailed Description

template<class VT, class M>
class CGLA::ArithSqMat4x4Float< VT, M >

4 by 4 float matrix template.

this class template is useful for transformations such as perspective projections or translation where 3x3 matrices do not suffice.

Member Function Documentation

template<class VT, class M>

template<class T , class VecT >

const VecT CGLA::ArithSqMat4x4Float< VT, M >::mul_3D_point ( const ArithVec3Float< T, VecT > & v_in ) const

inline

Multiply 3D point onto matrix. Here the fourth coordinate becomes 1 to ensure that the point is translated. Note that the vector is converted back into a Vec3f without any division by w. This is deliberate: Typically, w=1 except for projections. If we are doing projection, we can use project_3D_point instead

template<class VT, class M>

template<class T , class VecT >

const VecT CGLA::ArithSqMat4x4Float< VT, M >::mul_3D_vector ( const ArithVec3Float< T, VecT > & v_in ) const

inline

Multiply vector onto matrix. Here the fourth coordinate is se to 0. This removes any translation from the matrix. Useful if one wants to transform a vector which does not represent a point but a direction. Note that this is not correct for transforming normal vectors if the matric contains anisotropic scaling.

template<class VT, class M>

template<class T , class VecT >

const VecT CGLA::ArithSqMat4x4Float< VT, M >::project_3D_point ( const ArithVec3Float< T, VecT > & v_in ) const

inline

Multiply 3D point onto matrix. We set w=1 before multiplication and divide by w after multiplication.

The documentation for this class was generated from the following file:

CGLA/ArithSqMat4x4Float.h

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

template<class VT, class M> class CGLA::ArithSqMat4x4Float< VT, M >

Member Function Documentation

template<class VT, class M>
class CGLA::ArithSqMat4x4Float< VT, M >