#include <lspiralfunction.h>

Inheritance diagram for adore::mad::LSpiralFunction< T, M >:

Collaboration diagram for adore::mad::LSpiralFunction< T, M >:

Classes
class	diffspiral

Public Member Functions
	LSpiralFunction ()

	LSpiralFunction (LLinearPiecewiseFunctionM< T, 3+M+1 > *linear_data)

virtual	~LSpiralFunction ()

	LSpiralFunction (T S, T X0, T Y0, T ds, const adoreMatrix< T, 1, M+2 > &p0)

	LSpiralFunction (T S, T X0, T Y0, T kappa_max, T emax, const adoreMatrix< T, 1, M+2 > &p0)

	LSpiralFunction (T S, T X0, T Y0, T PSI0, T kappa0, T kappa1, T emax)

virtual ALFunction< T, T > *	create_heading ()

virtual adoreMatrix< T, 2, 1 >	f (T x) const override

virtual T	limitHi () const override

virtual T	limitLo () const override

virtual void	setLimits (T lo, T hi) override

virtual ALFunction< T, adoreMatrix< T, 2, 1 > > *	clone () override

virtual ALFunction< T, adoreMatrix< T, 2, 1 > > *	create_derivative () override

virtual void	bound (const T &xmin, const T &xmax, adoreMatrix< T, 2, 1 > &ymin, adoreMatrix< T, 2, 1 > &ymax) override

virtual ALFunction< T, T > *	dimension (int i) override

virtual T	fi (T x, int dim) const override

virtual void	multiply (adoreMatrix< T, 0, 0 > A, int rowi, int rowj)

virtual void	add (adoreMatrix< T, 0, 1 > b, int rowi, int rowj)

Public Member Functions inherited from adore::mad::AScalarToN< T, 2 >
void	toArray (DT xvec, T yvec, unsigned int count)

void	toArray (DT xvec, T yvec, unsigned int count, unsigned int row)

virtual void	operator*= (adoreMatrix< T, N, N > A)

virtual void	operator+= (adoreMatrix< T, N, 1 > b)

virtual void	operator-= (adoreMatrix< T, N, 1 > b)

Public Member Functions inherited from adore::mad::ALFunction< T, adoreMatrix< T, N, 1 > >
virtual void	f (T xvec, adoreMatrix< T, N, 1 > yvec, unsigned int count) const

virtual void	bound (const T &xmin, const T &xmax, adoreMatrix< T, N, 1 > &ymin, adoreMatrix< T, N, 1 > &ymax)=0

void	bound (adoreMatrix< T, N, 1 > &ymin, adoreMatrix< T, N, 1 > &ymax)

virtual	~ALFunction ()

	ALFunction ()

const adoreMatrix< T, N, 1 >	operator() (T x) const

bool	isInDomain (T x)

adoreMatrix< T, N, 1 >	f_bounded (T x)

void	invalidateCachedBounds ()

Public Attributes
LLinearPiecewiseFunctionM< T, 3+M+1 > *	m_linear_data

Additional Inherited Members
Public Types inherited from adore::mad::AScalarToN< T, 2 >
typedef T	DT

typedef adoreMatrix< T, N, 1 >	CT

typedef ALFunction< DT, T >	SUBFUN

Detailed Description

template<typename T, int M>
class adore::mad::LSpiralFunction< T, M >

A two-dimensional spiral function of degree M. Spiral's curvature has M derivatives

Constructor & Destructor Documentation

◆ LSpiralFunction() [1/5]

template<typename T , int M>

adore::mad::LSpiralFunction< T, M >::LSpiralFunction ( )

inline

◆ LSpiralFunction() [2/5]

template<typename T , int M>

adore::mad::LSpiralFunction< T, M >::LSpiralFunction ( LLinearPiecewiseFunctionM< T, 3+M+1 > * linear_data )

inline

◆ ~LSpiralFunction()

template<typename T , int M>

virtual adore::mad::LSpiralFunction< T, M >::~LSpiralFunction ( )

inlinevirtual

◆ LSpiralFunction() [3/5]

template<typename T , int M>

adore::mad::LSpiralFunction< T, M >::LSpiralFunction	(	T	S,
		T	X0,
		T	Y0,
		T	ds,
		const adoreMatrix< T, 1, M+2 > &	p0
	)

inline

instantiate spiral using initial parameter vector p0=[psi0,kappa0,dkappa0,ddkappa0,....] sample the spiral at fixed distance ds

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◆ LSpiralFunction() [4/5]

template<typename T , int M>

adore::mad::LSpiralFunction< T, M >::LSpiralFunction	(	T	S,
		T	X0,
		T	Y0,
		T	kappa_max,
		T	emax,
		const adoreMatrix< T, 1, M+2 > &	p0
	)

inline

instantiate spiral using initial parameter vector p0=[psi0,kappa0,dkappa0,ddkappa0,....] compute step size based on kappa_max and max admissible error

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◆ LSpiralFunction() [5/5]

template<typename T , int M>

adore::mad::LSpiralFunction< T, M >::LSpiralFunction	(	T	S,
		T	X0,
		T	Y0,
		T	PSI0,
		T	kappa0,
		T	kappa1,
		T	emax
	)

inline

instantiate spiral of order 1

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Member Function Documentation

◆ add()

template<typename T , int M>

virtual void adore::mad::LSpiralFunction< T, M >::add	(	adoreMatrix< T, 0, 1 >	b,
		int	rowi,
		int	rowj
	)

inlinevirtual

apply operation to function subdimensions: add a vector to rowi to rowj

Implements adore::mad::AScalarToN< T, 2 >.

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◆ bound()

template<typename T , int M>

virtual void adore::mad::LSpiralFunction< T, M >::bound	(	const T &	xmin,
		const T &	xmax,
		adoreMatrix< T, 2, 1 > &	ymin,
		adoreMatrix< T, 2, 1 > &	ymax
	)

inlineoverridevirtual

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◆ clone()

template<typename T , int M>

virtual ALFunction<T, adoreMatrix<T, 2, 1> >* adore::mad::LSpiralFunction< T, M >::clone ( )

inlineoverridevirtual

create a copy of child class object - is used for function operations

Implements adore::mad::ALFunction< T, adoreMatrix< T, N, 1 > >.

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◆ create_derivative()

template<typename T , int M>

virtual ALFunction<T, adoreMatrix<T, 2, 1> >* adore::mad::LSpiralFunction< T, M >::create_derivative ( )

inlineoverridevirtual

create a new function object, which is the derivative function

Implements adore::mad::ALFunction< T, adoreMatrix< T, N, 1 > >.

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◆ create_heading()

template<typename T , int M>

virtual ALFunction<T, T>* adore::mad::LSpiralFunction< T, M >::create_heading ( )

inlinevirtual

returns pointer to heading function, which is M+1 times differentiable instead of maintaining one instance of heading, the heading function is created each time anew, as the heading may change according to rotate operations on spiral

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