mln::norm Namespace Reference

Namespace of norms. More...

Namespaces
namespace	impl
	Implementation namespace of norm namespace.
Functions
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	l2 (const algebra::vec< n, C > &vec)
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	l2 (const C(&vec)[n])
	L2-norm of a vector vec.
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	l1 (const C(&vec)[n])
	L1-norm of a vector vec.
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	l1 (const algebra::vec< n, C > &vec)
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	l1_distance (const C(&vec1)[n], const C(&vec2)[n])
	L1-norm distance between vectors vec1 and vec2.
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	l1_distance (const algebra::vec< n, C > &vec1, const algebra::vec< n, C > &vec2)
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	sqr_l2 (const C(&vec)[n])
	Squared L2-norm of a vector vec.
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	sqr_l2 (const algebra::vec< n, C > &vec)
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	l2_distance (const C(&vec1)[n], const C(&vec2)[n])
	L2-norm distance between vectors vec1 and vec2.
template<unsigned n, typename C >
mln::trait::value_< typename mln::trait::op::times< C, C > ::ret >::sum	l2_distance (const algebra::vec< n, C > &vec1, const algebra::vec< n, C > &vec2)
template<unsigned n, typename C >
C	linfty (const C(&vec)[n])
	L-infinity-norm of a vector vec.
template<unsigned n, typename C >
C	linfty (const algebra::vec< n, C > &vec)
template<unsigned n, typename C >
C	linfty_distance (const C(&vec1)[n], const C(&vec2)[n])
	L-infinity-norm distance between vectors vec1 and vec2.
template<unsigned n, typename C >
C	linfty_distance (const algebra::vec< n, C > &vec1, const algebra::vec< n, C > &vec2)

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Detailed Description

Namespace of norms.

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Function Documentation

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::l1

(

const C(&)

vec[n]

)

[inline]

L1-norm of a vector vec.

Definition at line 108 of file l1.hh.

Referenced by mln::fun::v2w_w2v::l1_norm< V, R >::f_1(), mln::fun::v2w_w2v::l1_norm< V, R >::operator()(), mln::fun::v2v::l1_norm< V, R >::operator()(), and mln::trait::next::set_precise_unary_< mln::fun::norm::l1, mln::algebra::vec< n, T > >::read().

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::l1

(

const algebra::vec< n, C > &

vec

)

[inline]

Definition at line 116 of file l1.hh.

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::l1_distance	(	const C(&)	vec1[n],
		const C(&)	vec2[n]
	)			[inline]

L1-norm distance between vectors vec1 and vec2.

Definition at line 124 of file l1.hh.

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::l1_distance	(	const algebra::vec< n, C > &	vec1,
		const algebra::vec< n, C > &	vec2
	)			[inline]

Definition at line 132 of file l1.hh.

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::l2

(

const algebra::vec< n, C > &

vec

)

[inline]

Definition at line 147 of file l2.hh.

Referenced by mln::algebra::about_equal(), mln::algebra::exp(), mln::fun::v2w_w2v::l2_norm< V, R >::f_1(), mln::registration::icp(), mln::algebra::quat::inv(), mln::algebra::quat::is_null(), mln::algebra::quat::is_unit(), mln::geom::mesh_corner_point_area(), mln::algebra::vec< n, T >::normalize(), mln::fun::v2w_w2v::l2_norm< V, R >::operator()(), mln::fun::v2v::l2_norm< V, R >::operator()(), mln::trait::next::set_precise_unary_< mln::fun::norm::l2, mln::algebra::vec< n, T > >::read(), mln::registration::internal::rms(), and mln::algebra::quat::set_unit().

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::l2

(

const C(&)

vec[n]

)

[inline]

L2-norm of a vector vec.

Definition at line 139 of file l2.hh.

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::l2_distance	(	const C(&)	vec1[n],
		const C(&)	vec2[n]
	)			[inline]

L2-norm distance between vectors vec1 and vec2.

Definition at line 173 of file l2.hh.

Referenced by mln::registration::closest_point_basic< P >::operator()().

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::l2_distance	(	const algebra::vec< n, C > &	vec1,
		const algebra::vec< n, C > &	vec2
	)			[inline]

Definition at line 181 of file l2.hh.

template<unsigned n, typename C >

C mln::norm::linfty

(

const C(&)

vec[n]

)

[inline]

L-infinity-norm of a vector vec.

Definition at line 113 of file linfty.hh.

Referenced by mln::window< D >::delta_(), mln::fun::v2w_w2v::linfty_norm< V, R >::f_1(), mln::fun::v2w_w2v::linfty_norm< V, R >::operator()(), mln::fun::v2v::linfty_norm< V, R >::operator()(), and mln::trait::next::set_precise_unary_< mln::fun::norm::linfty, mln::algebra::vec< n, T > >::read().

template<unsigned n, typename C >

C mln::norm::linfty

(

const algebra::vec< n, C > &

vec

)

[inline]

Definition at line 120 of file linfty.hh.

template<unsigned n, typename C >

C mln::norm::linfty_distance	(	const algebra::vec< n, C > &	vec1,
		const algebra::vec< n, C > &	vec2
	)			[inline]

Definition at line 134 of file linfty.hh.

template<unsigned n, typename C >

C mln::norm::linfty_distance	(	const C(&)	vec1[n],
		const C(&)	vec2[n]
	)			[inline]

L-infinity-norm distance between vectors vec1 and vec2.

Definition at line 127 of file linfty.hh.

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::sqr_l2

(

const algebra::vec< n, C > &

vec

)

[inline]

Definition at line 164 of file l2.hh.

template<unsigned n, typename C >

mln::trait::value_< typename mln::trait::op::times< C, C >::ret >::sum mln::norm::sqr_l2

(

const C(&)

vec[n]

)

[inline]

Squared L2-norm of a vector vec.

Definition at line 156 of file l2.hh.

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