Detailed Description

Classes
struct	cugar::Matrix< T, N, M >

struct	cugar::GenericOuterProduct

struct	cugar::OuterProduct< T, N, M >

struct	cugar::OuterProduct< T, 1, 1 >

Typedefs
typedef Matrix< float, 2, 2 >	cugar::Matrix2x2f

typedef Matrix< double, 2, 2 >	cugar::Matrix2x2d

typedef Matrix< float, 3, 3 >	cugar::Matrix3x3f

typedef Matrix< double, 3, 3 >	cugar::Matrix3x3d

typedef Matrix< float, 4, 4 >	cugar::Matrix4x4f

typedef Matrix< double, 4, 4 >	cugar::Matrix4x4d

typedef Matrix< float, 2, 3 >	cugar::Matrix2x3f

typedef Matrix< float, 3, 2 >	cugar::Matrix3x2f

typedef Matrix< double, 2, 3 >	cugar::Matrix2x3d

typedef Matrix< double, 3, 2 >	cugar::Matrix3x2d

typedef OuterProduct< float, 2, 2 >	cugar::OuterProduct2x2f

typedef OuterProduct< float, 3, 3 >	cugar::OuterProduct3x3f

typedef OuterProduct< float, 4, 4 >	cugar::OuterProduct4x4f

typedef OuterProduct< float, 2, 3 >	cugar::OuterProduct2x3f

typedef OuterProduct< float, 3, 2 >	cugar::OuterProduct3x2f

typedef OuterProduct< double, 2, 2 >	cugar::OuterProduct2x2d

typedef OuterProduct< double, 3, 3 >	cugar::OuterProduct3x3d

typedef OuterProduct< double, 4, 4 >	cugar::OuterProduct4x4d

typedef OuterProduct< double, 2, 3 >	cugar::OuterProduct2x3d

typedef OuterProduct< double, 3, 2 >	cugar::OuterProduct3x2d

Functions
template<typename T , int N>
Vector< T, N >	cugar::scale_factor (const Matrix< T, N, N > &A)

template<typename T , int N>
bool	cugar::pivot_partial (Matrix< T, N, N > &A, const Vector< T, N > &S, Vector< T, N > &B)

template<typename T , int N>
bool	cugar::forward_elimination (Matrix< T, N, N > &A, Vector< T, N > &B)

template<typename T , int N>
Vector< T, N >	cugar::back_substitution (Matrix< T, N, N > &A, Vector< T, N > &B)

template<typename T , int N>
Vector< T, N >	cugar::gaussian_elimination (Matrix< T, N, N > A, Vector< T, N > B)

template<typename T , int N, int M, int Q>
CUGAR_HOST_DEVICE Matrix< T, N, Q > &	cugar::multiply (const Matrix< T, N, M > &, const Matrix< T, M, Q > &, Matrix< T, N, Q > &)

template<typename T , int N, int M, int Q>
CUGAR_HOST_DEVICE Matrix< T, N, Q >	cugar::operator* (const Matrix< T, N, M > &, const Matrix< T, M, Q > &)

template<typename T , int N, int M>
CUGAR_HOST_DEVICE Vector< T, M > &	cugar::multiply (const Vector< T, N > &, const Matrix< T, N, M > &, Vector< T, M > &)

template<typename T , int N, int M>
CUGAR_HOST_DEVICE Vector< T, N > &	cugar::multiply (const Matrix< T, N, M > &, const Vector< T, M > &, Vector< T, N > &)

template<typename T , int N, int M>
CUGAR_HOST_DEVICE Matrix< T, M, N >	cugar::transpose (const Matrix< T, N, M > &)

template<typename T , int N, int M>
CUGAR_HOST_DEVICE Matrix< T, M, N > &	cugar::transpose (const Matrix< T, N, M > &, Matrix< T, M, N > &)

template<typename T , int N, int M>
CUGAR_HOST_DEVICE bool	cugar::invert (const Matrix< T, N, M > &, Matrix< T, M, N > &)

template<typename T , int N, int M>
CUGAR_HOST_DEVICE T	cugar::det (const Matrix< T, N, M > &)

template<typename T >
CUGAR_HOST_DEVICE void	cugar::cholesky (const Matrix< T, 2, 2 > &, Matrix< T, 2, 2 > &)

template<typename T , uint32 N, uint32 M>
CUGAR_API_CS CUGAR_HOST_DEVICE Matrix< T, N, M >	cugar::outer_product (const Vector< T, N > op1, const Vector< T, M > op2)

template<typename T >
CUGAR_HOST_DEVICE Matrix< T, 4, 4 >	cugar::translate (const Vector< T, 3 > &vec)

template<typename T >
CUGAR_HOST_DEVICE Matrix< T, 4, 4 >	cugar::scale (const Vector< T, 3 > &vec)
	build a 3d scaling matrix More...

template<typename T >
Matrix< T, 4, 4 >	cugar::perspective (T fovy, T aspect, T zNear, T zFar)

template<typename T >
Matrix< T, 4, 4 >	cugar::look_at (const Vector< T, 3 > &eye, const Vector< T, 3 > &center, const Vector< T, 3 > &up, bool flip_sign=false)

template<typename T >
Matrix< T, 4, 4 >	cugar::inverse_look_at (const Vector< T, 3 > &eye, const Vector< T, 3 > &center, const Vector< T, 3 > &up, bool flip_sign=false)

template<typename T >
CUGAR_HOST_DEVICE Matrix< T, 4, 4 >	cugar::rotation_around_X (const T q)

template<typename T >
CUGAR_HOST_DEVICE Matrix< T, 4, 4 >	cugar::rotation_around_Y (const T q)

template<typename T >
CUGAR_HOST_DEVICE Matrix< T, 4, 4 >	cugar::rotation_around_Z (const T q)

template<typename T >
CUGAR_HOST_DEVICE Matrix< T, 4, 4 >	cugar::rotation_around_axis (const T q, const Vector3f &axis)

CUGAR_HOST_DEVICE Vector3f	cugar::ptrans (const Matrix4x4f &m, const Vector3f &v)

CUGAR_HOST_DEVICE Vector3f	cugar::vtrans (const Matrix4x4f &m, const Vector3f &v)

CUGAR_HOST_DEVICE Vector2f	cugar::eigen_values (const Matrix2x2f &m)

CUGAR_HOST_DEVICE Vector2f	cugar::singular_values (const Matrix2x2f &m)

CUGAR_HOST_DEVICE void	cugar::svd (const Matrix2x2f &m, Matrix2x2f &u, Vector2f &s, Matrix2x2f &v)

Function Documentation

◆ back_substitution()

template<typename T , int N>

Vector<T,N> cugar::back_substitution	(	Matrix< T, N, N > &	A,
		Vector< T, N > &	B
	)

Back substitution for a small linear system

◆ eigen_values()

CUGAR_HOST_DEVICE Vector2f cugar::eigen_values ( const Matrix2x2f & m )

inline

get the eigenvalues of a matrix

◆ forward_elimination()

template<typename T , int N>

bool cugar::forward_elimination	(	Matrix< T, N, N > &	A,
		Vector< T, N > &	B
	)

Forward elimination for a small linear system

◆ gaussian_elimination()

template<typename T , int N>

Vector<T,N> cugar::gaussian_elimination	(	Matrix< T, N, N >	A,
		Vector< T, N >	B
	)

Gaussian elimination of a small linear system

◆ inverse_look_at()

template<typename T >

Matrix< T, 4, 4 > cugar::inverse_look_at	(	const Vector< T, 3 > &	eye,
		const Vector< T, 3 > &	center,
		const Vector< T, 3 > &	up,
		bool	flip_sign = `false`
	)

build the inverse of a 3d look at matrix

◆ look_at()

template<typename T >

Matrix< T, 4, 4 > cugar::look_at	(	const Vector< T, 3 > &	eye,
		const Vector< T, 3 > &	center,
		const Vector< T, 3 > &	up,
		bool	flip_sign = `false`
	)

build a 3d look at matrix

◆ outer_product()

template<typename T , uint32 N, uint32 M>

CUGAR_API_CS CUGAR_HOST_DEVICE Matrix< T, N, M > cugar::outer_product	(	const Vector< T, N >	op1,
		const Vector< T, M >	op2
	)

inline

Outer product of two vectors

◆ perspective()

template<typename T >

Matrix< T, 4, 4 > cugar::perspective	(	T	fovy,
		T	aspect,
		T	zNear,
		T	zFar
	)

build a 3d perspective matrix

◆ pivot_partial()

template<typename T , int N>

bool cugar::pivot_partial	(	Matrix< T, N, N > &	A,
		const Vector< T, N > &	S,
		Vector< T, N > &	B
	)

Partial pivoting for a small linear system

◆ ptrans()

CUGAR_HOST_DEVICE Vector3f cugar::ptrans	(	const Matrix4x4f &	m,
		const Vector3f &	v
	)

inline

transform a 3d point with a perspective transform

◆ rotation_around_axis()

template<typename T >

CUGAR_HOST_DEVICE Matrix< T, 4, 4 > cugar::rotation_around_axis	(	const T	q,
		const Vector3f &	axis
	)

build a 3d rotation around an arbitrary axis

◆ rotation_around_X()

template<typename T >

CUGAR_HOST_DEVICE Matrix< T, 4, 4 > cugar::rotation_around_X ( const T q )

build a 3d rotation around the X axis

◆ rotation_around_Y()

template<typename T >

CUGAR_HOST_DEVICE Matrix< T, 4, 4 > cugar::rotation_around_Y ( const T q )

build a 3d rotation around the Y axis

◆ rotation_around_Z()

template<typename T >

CUGAR_HOST_DEVICE Matrix< T, 4, 4 > cugar::rotation_around_Z ( const T q )

build a 3d rotation around the Z axis

◆ scale()

template<typename T >

CUGAR_HOST_DEVICE Matrix< T, 4, 4 > cugar::scale ( const Vector< T, 3 > & vec )

build a 3d scaling matrix

◆ scale_factor()

template<typename T , int N>

Vector<T,N> cugar::scale_factor ( const Matrix< T, N, N > & A )

Return the scale factor for a small linear system

◆ singular_values()

CUGAR_HOST_DEVICE Vector2f cugar::singular_values ( const Matrix2x2f & m )

inline

get the singular values of a matrix

◆ svd()

CUGAR_HOST_DEVICE void cugar::svd	(	const Matrix2x2f &	m,
		Matrix2x2f &	u,
		Vector2f &	s,
		Matrix2x2f &	v
	)

inline

get the singular value decomposition of a matrix

◆ translate()

template<typename T >

CUGAR_HOST_DEVICE Matrix< T, 4, 4 > cugar::translate ( const Vector< T, 3 > & vec )

build a 3d translation matrix

◆ vtrans()

CUGAR_HOST_DEVICE Vector3f cugar::vtrans	(	const Matrix4x4f &	m,
		const Vector3f &	v
	)

inline

transform a 3d vector with a perspective transform

Detailed Description

Classes

Typedefs

Functions

Function Documentation

◆ back_substitution()

◆ eigen_values()

◆ forward_elimination()

◆ gaussian_elimination()

◆ inverse_look_at()

◆ look_at()

◆ outer_product()

◆ perspective()

◆ pivot_partial()

◆ ptrans()

◆ rotation_around_axis()

◆ rotation_around_X()

◆ rotation_around_Y()

◆ rotation_around_Z()

◆ scale()

◆ scale_factor()

◆ singular_values()

◆ svd()

◆ translate()

◆ vtrans()