C3DCriticalPointEigen Class Reference

A class to hold a criticalpoint with eigenvalues and eigenvectors. More...

#include <mia/3d/critical_point.hh>

Public Types
enum	EVType {   ev_zero, ev_real, ev_real_two_equal, ev_real_three_equal,   ev_complex }
	types of critical points More...

Public Member Functions
	C3DCriticalPointEigen (C3DCriticalPoint cp)
	C3DCriticalPointEigen (const C3DFVector &l, const C3DFMatrix &m)
	C3DCriticalPointEigen (const C3DFVector &location_, const C3DFMatrix &portrait_, float eval1, float eval2, float eval3, const C3DFVector &evec1, const C3DFVector &evec2, const C3DFVector &evec3, EVType type)
std::complex< float >	get_complex_eval2 () const
std::complex< float >	get_complex_eval3 () const
const T3DCVector< float >	get_complex_evect2 () const
const T3DCVector< float >	get_complex_evect3 () const
float	get_eval1 () const
float	get_eval2 () const
float	get_eval3 () const
const C3DFVector	get_evect1 () const
const C3DFVector	get_location () const
const C3DFMatrix	get_portrait () const
float	get_real_eval2 () const
float	get_real_eval3 () const
const C3DFVector	get_real_evect2 () const
const C3DFVector	get_real_evect3 () const
EVType	get_type () const

Detailed Description

A class to hold a criticalpoint with eigenvalues and eigenvectors.

Remarks

untested

Definition at line 149 of file critical_point.hh.

Member Enumeration Documentation

EVType

enum C3DCriticalPointEigen::EVType

types of critical points

Enumerator
ev_zero	all eigenvalues are zero (more a placeholder)
ev_real	three real distinct eigenvalues
ev_real_two_equal	three real eigenvalues, two equal
ev_real_three_equal	three real eigenvalues, all equal
ev_complex

Definition at line 177 of file critical_point.hh.

Constructor & Destructor Documentation

C3DCriticalPointEigen() [1/3]

C3DCriticalPointEigen::C3DCriticalPointEigen

(

C3DCriticalPoint

cp

)

Construtor to create a critical point with evaluated eigenvalues and - vectors from a critical point.

Parameters

cp	the critical point to construct from

C3DCriticalPointEigen() [2/3]

C3DCriticalPointEigen::C3DCriticalPointEigen	(	const C3DFVector &	l,
		const C3DFMatrix &	m
	)

Construtor to create a critical point with evaluated eigenvalues and - vectors .

Parameters

l	location of the critical point
m	phase portrait of the critical point

C3DCriticalPointEigen() [3/3]

C3DCriticalPointEigen::C3DCriticalPointEigen	(	const C3DFVector &	location_,
		const C3DFMatrix &	portrait_,
		float	eval1,
		float	eval2,
		float	eval3,
		const C3DFVector &	evec1,
		const C3DFVector &	evec2,
		const C3DFVector &	evec3,
		EVType	type
	)

Contruct a critical point from given data.

Parameters

location_	location of critical point
portrait_	phase portrait of critical point
eval1	first eigenvalue (always real)
eval2	second real eigenvalue or real part of conjugated complex ones
eval3	third real eigenvalue or imaginary part of conjugated complex ones
evec1	first eigenvector (always real)
evec2	second real eigenvector or real part of conjugated complex ones
evec3	third real eigenvector or imaginary part of conjugated complex ones
type	how to interpret the second and third eigenvalues/-vectors

Member Function Documentation

get_complex_eval2()

std::complex< float > C3DCriticalPointEigen::get_complex_eval2 ( ) const

inline

Return values

get	second eigenvalue as complex

Remarks

asserts whether eigenvalue is really complex

Definition at line 301 of file critical_point.hh.

get_complex_eval3()

std::complex< float > C3DCriticalPointEigen::get_complex_eval3 ( ) const

inline

Return values

get	third eigenvalue as complex

Remarks

asserts whether eigenvalue is really complex

Definition at line 306 of file critical_point.hh.

get_complex_evect2()

const T3DCVector< float > C3DCriticalPointEigen::get_complex_evect2 ( ) const

inline

Definition at line 326 of file critical_point.hh.

get_complex_evect3()

const T3DCVector< float > C3DCriticalPointEigen::get_complex_evect3 ( ) const

inline

Definition at line 331 of file critical_point.hh.

get_eval1()

float C3DCriticalPointEigen::get_eval1 ( ) const

inline

Return values

get	first eigenvalue

Definition at line 278 of file critical_point.hh.

get_eval2()

float C3DCriticalPointEigen::get_eval2 ( ) const

inline

Return values

get	second eigenvalue as real

Remarks

use only for loading and storing

Definition at line 282 of file critical_point.hh.

get_eval3()

float C3DCriticalPointEigen::get_eval3 ( ) const

inline

Return values

get	second eigenvalue as real

Remarks

use only for loading and storing

Definition at line 286 of file critical_point.hh.

get_evect1()

const C3DFVector C3DCriticalPointEigen::get_evect1 ( ) const

inline

Return values

a	copy of the first eigenvector

Definition at line 312 of file critical_point.hh.

get_location()

const C3DFVector C3DCriticalPointEigen::get_location ( ) const

inline

Return values

a	copy of the location

Definition at line 337 of file critical_point.hh.

get_portrait()

const C3DFMatrix C3DCriticalPointEigen::get_portrait ( ) const

inline

Return values

a	copy of the phase portrait

Definition at line 343 of file critical_point.hh.

get_real_eval2()

float C3DCriticalPointEigen::get_real_eval2 ( ) const

inline

Return values

get	second eigenvalue as real

Remarks

asserts whether eigenvalue is really real

Definition at line 291 of file critical_point.hh.

get_real_eval3()

float C3DCriticalPointEigen::get_real_eval3 ( ) const

inline

Return values

get	third eigenvalue as real

Remarks

asserts whether eigenvalue is really real

Definition at line 296 of file critical_point.hh.

get_real_evect2()

const C3DFVector C3DCriticalPointEigen::get_real_evect2 ( ) const

inline

Return values

a	copy of the second eigenvector as real

Remarks

use only for loading and storing

Definition at line 316 of file critical_point.hh.

get_real_evect3()

const C3DFVector C3DCriticalPointEigen::get_real_evect3 ( ) const

inline

Definition at line 321 of file critical_point.hh.

get_type()

C3DCriticalPointEigen::EVType C3DCriticalPointEigen::get_type ( ) const

inline

Return values

type	of eigenvalues and eigenvectors

Definition at line 274 of file critical_point.hh.

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

• critical_point.hh