MR::QuadraticForm< V > Struct Template Reference

#include <MRQuadraticForm.h>

Public Types
using	T = typename V::ValueType
using	SM = typename V::SymMatrixType

Public Member Functions
T	eval (const V &x) const
	evaluates the function at given x
void	addDistToOrigin (T weight)
	adds to this squared distance to the origin point
void	addDistToPlane (const V &planeUnitNormal)
	adds to this squared distance to plane passing via origin with given unit normal
void	addDistToPlane (const V &planeUnitNormal, T weight)
void	addDistToLine (const V &lineUnitDir)
	adds to this squared distance to line passing via origin with given unit direction
void	addDistToLine (const V &lineUnitDir, T weight)

Public Attributes
SM	A
T	c = 0

Related Symbols
(Note that these are not member symbols.)
template<typename V >
MRMESH_API std::pair< QuadraticForm< V >, V >	sum (const QuadraticForm< V > &q0, const V &x0, const QuadraticForm< V > &q1, const V &x1, bool minAmong01=false)
	if true then the minimum is selected only between points x0 and x1
template<typename V >
MRMESH_API QuadraticForm< V >	sumAt (const QuadraticForm< V > &q0, const V &x0, const QuadraticForm< V > &q1, const V &x1, const V &pos)

Detailed Description

template<typename V>
struct MR::QuadraticForm< V >

quadratic form: f = x^T A x + c

Member Typedef Documentation

SM

template<typename V >

using MR::QuadraticForm< V >::SM = typename V::SymMatrixType

T

template<typename V >

using MR::QuadraticForm< V >::T = typename V::ValueType

Member Function Documentation

addDistToLine() [1/2]

template<typename V >

void MR::QuadraticForm< V >::addDistToLine ( const V & lineUnitDir )

inline

adds to this squared distance to line passing via origin with given unit direction

addDistToLine() [2/2]

template<typename V >

void MR::QuadraticForm< V >::addDistToLine ( const V & lineUnitDir, T weight )

inline

addDistToOrigin()

template<typename V >

void MR::QuadraticForm< V >::addDistToOrigin ( T weight )

inline

adds to this squared distance to the origin point

addDistToPlane() [1/2]

template<typename V >

void MR::QuadraticForm< V >::addDistToPlane ( const V & planeUnitNormal )

inline

adds to this squared distance to plane passing via origin with given unit normal

addDistToPlane() [2/2]

template<typename V >

void MR::QuadraticForm< V >::addDistToPlane ( const V & planeUnitNormal, T weight )

inline

eval()

template<typename V >

T MR::QuadraticForm< V >::eval ( const V & x ) const

inlinenodiscard

evaluates the function at given x

Friends And Related Symbol Documentation

sum()

template<typename V >

MRMESH_API std::pair< QuadraticForm< V >, V > sum ( const QuadraticForm< V > & q0, const V & x0, const QuadraticForm< V > & q1, const V & x1, bool minAmong01 = false )

related

if true then the minimum is selected only between points x0 and x1

given two quadratic forms with points where they reach minima, computes sum quadratic form and the point where it reaches minimum

sumAt()

template<typename V >

MRMESH_API QuadraticForm< V > sumAt ( const QuadraticForm< V > & q0, const V & x0, const QuadraticForm< V > & q1, const V & x1, const V & pos )

related

given two quadratic forms with points where they reach minima, computes sum quadratic form and the point (pos)

Member Data Documentation

A

template<typename V >

SM MR::QuadraticForm< V >::A

c

template<typename V >

T MR::QuadraticForm< V >::c = 0

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

• MRQuadraticForm.h