mln::algebra Namespace Reference

Namespace of algebraic structure. More...

Classes
struct	h_mat
	N-Dimensional matrix with homogeneous coordinates. More...
struct	h_vec
	N-Dimensional vector with homogeneous coordinates. More...
Functions
template<unsigned N, typename T>
bool	ldlt_decomp (mat< N, N, T > &A, vec< N, T > &rdiag)
	Perform LDL^T decomposition of a symmetric positive definite matrix.
template<unsigned N, typename T>
void	ldlt_solve (const mat< N, N, T > &A, const vec< N, T > &rdiag, const vec< N, T > &B, vec< N, T > &x)
	Solve A x = B after mln::algebra::ldlt_decomp.
template<unsigned n, typename T, typename U>
mln::trait::value_< typename mln::trait::op::times< T, U > ::ret >::sum	operator* (const vec< n, T > &lhs, const vec< n, U > &rhs)
	Scalar product (dot product).
template<typename T, typename U>
vec< 3, typename mln::trait::op::times< T, U > ::ret >	vprod (const vec< 3, T > &lhs, const vec< 3, U > &rhs)
	Vectorial product (cross product).

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Detailed Description

Namespace of algebraic structure.

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Function Documentation

template<unsigned N, typename T>

bool mln::algebra::ldlt_decomp	(	mat< N, N, T > &	A,
		vec< N, T > &	rdiag
	)			[inline]

Perform LDL^T decomposition of a symmetric positive definite matrix.

Like Cholesky, but no square roots. Overwrites lower triangle of matrix.

From Trimesh's ldltdc routine.

Referenced by mln::geom::mesh_curvature().

template<unsigned N, typename T>

void mln::algebra::ldlt_solve	(	const mat< N, N, T > &	A,
		const vec< N, T > &	rdiag,
		const vec< N, T > &	B,
		vec< N, T > &	x
	)			[inline]

Solve A x = B after mln::algebra::ldlt_decomp.

Referenced by mln::geom::mesh_curvature().

template<unsigned n, typename T, typename U>

mln::trait::value_< typename mln::trait::op::times< T, U >::ret >::sum mln::algebra::operator*	(	const vec< n, T > &	lhs,
		const vec< n, U > &	rhs
	)			[inline]

Scalar product (dot product).

References mln::literal::zero.

template<typename T, typename U>

vec< 3, typename mln::trait::op::times< T, U >::ret > mln::algebra::vprod	(	const vec< 3, T > &	lhs,
		const vec< 3, U > &	rhs
	)			[inline]

Vectorial product (cross product).

References vprod().

Referenced by mln::geom::mesh_corner_point_area(), mln::geom::mesh_curvature(), mln::geom::mesh_normal(), and vprod().