MGPPRep クラス

Defines PP-Represetation of a spline. [詳解]

公開メンバ関数
	MGPPRep ()
	Default constructor. [詳解]
	MGPPRep (int order, int nbreak, int sdim)
	Constructor of dummy PP-Rep of specified size. [詳解]
	MGPPRep (int order, int sdim, const MGNDDArray &tau)
	Constructor of dummy PP-Rep(no data except data points) of specified size. [詳解]
	MGPPRep (const MGLBRep &lbrep)
	Constructor to convert from Line B-Representation. [詳解]
	MGPPRep (int order, const MGPPRep &pprep)
	MGPPRep (const MGPPRep &rhs)
	Copy constructor. [詳解]
	~MGPPRep ()
MGPPRep &	operator= (const MGPPRep &)
double	operator() (int i, int j, int k) const
	Assignment. [詳解]
double &	operator() (int i, int j, int k)
MGVector	operator() (int i, int j) const
	Extract (i,j,k)elements for 0<=k<sdim() as a vector. [詳解]
const MGNDDArray &	break_point () const
	Returns break point sequence. [詳解]
double	break_point (int i) const
	Returns i-th break point value. [詳解]
double &	break_point (int i)
	Returns a pointer to i-th break_point to access. [詳解]
const double *	break_point_data () const
	Returns a pointer to the break_point data. [詳解]
double	coef (int i, int j, int k) const
	Returns (i,j,k)-th coef value. [詳解]
double &	coef (int i, int j, int k)
	Returns a pointer to coef(i,j,k) to access. [詳解]
MGVector	coef (int i, int j) const
	Extract (i,j,k)elements for 0<=k<sdim() as a vector. [詳解]
const double *	coef_data (int i=0, int j=0, int k=0) const
	Returns a pointer to the PPCoef data. [詳解]
MGVector	eval (double t, int n=0) const
	Evaluate right continuous n'th derivative(BPVAL) [詳解]
MGVector	eval_i (int i, double t, int n) const
	Evaluate i-th span's n'th derivative(BPVAL) [詳解]
int	nbreak () const
	Returns the number of Break points including the end point. [詳解]
MGPPRep &	normalize ()
int	order () const
	Returns the order of PPRep. [詳解]
double	ref (int i, int j, int k) const
	Return the data of (i,j,k). [詳解]
void	reshape (int nbreak)
void	resize (int order, int nbreak, int dim)
int	sdim () const
	Returns the space dimension. [詳解]
void	store_at (int i, int j, const MGVector &v)
	Store the vector v at coef(i,j). [詳解]
int	dump_size () const
	Dump Functions. [詳解]
int	dump (MGOfstream &) const
	Dump Function. [詳解]
int	restore (MGIfstream &)
	Restore Function. [詳解]

フレンド
MG_DLL_DECLR friend std::ostream &	operator<< (std::ostream &, const MGPPRep &)
	String stream output Function. [詳解]

詳解

Defines PP-Represetation of a spline.

The indices are: MGPPRep(i,j,k) where i is order, j is break point id, and k is space dimensio id. When tau(j)<=t<tau(j+1)(tau(j) is break_point(j)), using coef(i,j,k), the PP-representation f(t) is: f(t)=sum of i(coef(i,j,k)/factorial(i)*(power(i) of (t-tau(j)))) for i=0,...,order-1. In other words, the coefficinet of (t-tau(j))**i is coef(i,j,k)/factorial(i) for k=0,...,sdim()-1, and i=0, ... ,order-1. Here, ** i indicates power i.

構築子と解体子

MGPPRep::MGPPRep

(

)

Default constructor.

MGPPRep::MGPPRep	(	int	order,
		int	nbreak,
		int	sdim
	)

Constructor of dummy PP-Rep of specified size.

MGPPRep::MGPPRep	(	int	order,
		int	sdim,
		const MGNDDArray &	tau
	)

Constructor of dummy PP-Rep(no data except data points) of specified size.

MGPPRep::MGPPRep

(

const MGLBRep &

lbrep

)

Constructor to convert from Line B-Representation.

MGPPRep::MGPPRep	(	int	order,
		const MGPPRep &	pprep
	)

Constructor to change order of original PP-Representation. New order may be greater or less than the original one. However, if new one is less than the original, PP-Rep constructed may not be able to hold the same shape.

MGPPRep::MGPPRep

(

const MGPPRep &

rhs

)

Copy constructor.

MGPPRep::~MGPPRep ( )

inline

関数詳解

const MGNDDArray& MGPPRep::break_point ( ) const

inline

Returns break point sequence.

double MGPPRep::break_point ( int  i ) const

inline

Returns i-th break point value.

double& MGPPRep::break_point ( int  i )

inline

Returns a pointer to i-th break_point to access.

const double* MGPPRep::break_point_data ( ) const

inline

Returns a pointer to the break_point data.

double MGPPRep::coef	(	int	i,
		int	j,
		int	k
	)		const

Returns (i,j,k)-th coef value.

double& MGPPRep::coef	(	int	i,
		int	j,
		int	k
	)

Returns a pointer to coef(i,j,k) to access.

MGVector MGPPRep::coef	(	int	i,
		int	j
	)		const

Extract (i,j,k)elements for 0<=k<sdim() as a vector.

const double* MGPPRep::coef_data	(	int	i = 0,
		int	j = 0,
		int	k = 0
	)		const

Returns a pointer to the PPCoef data.

int MGPPRep::dump

(

MGOfstream &

)

const

Dump Function.

int MGPPRep::dump_size

(

)

const

Dump Functions.

MGVector MGPPRep::eval	(	double	t,
		int	n = 0
	)		const

Evaluate right continuous n'th derivative(BPVAL)

引数

t	Parameter value to evaluate.
n	Degree of derivative. When n=0, compute positional data.

MGVector MGPPRep::eval_i	(	int	i,
		double	t,
		int	n
	)		const

Evaluate i-th span's n'th derivative(BPVAL)

引数

i	span number(from 0) of the PP-Rep.
t	Parameter value to evaluate.
n	Dgree of derivative. When n=0, compute positional data.

int MGPPRep::nbreak ( ) const

inline

Returns the number of Break points including the end point.

MGPPRep& MGPPRep::normalize

(

)

"normalize" normalizes the PP-Rep, i.e. changes break point data and pp-coefficients so as that length of first derivatives from left and right at each break point are the same.

double MGPPRep::operator() ( int  i, int  j, int  k  ) const

inline

Assignment.

Return i-th element of the position.

double& MGPPRep::operator() ( int  i, int  j, int  k  )

inline

MGVector MGPPRep::operator() ( int  i, int  j  ) const

inline

Extract (i,j,k)elements for 0<=k<sdim() as a vector.

MGPPRep& MGPPRep::operator=

(

const MGPPRep &

)

int MGPPRep::order ( ) const

inline

Returns the order of PPRep.

double MGPPRep::ref	(	int	i,
		int	j,
		int	k
	)		const

Return the data of (i,j,k).

void MGPPRep::reshape

(

int

nbreak

)

Change size. Change of sdim not allowed. Stored data so far will be guarateed to hold in the same id of coef(i,j,k).

void MGPPRep::resize	(	int	order,
		int	nbreak,
		int	dim
	)

Resize to (order, nbreak, dim). Resutl will contain only garbages.

引数

order	Order number.
nbreak	number of break points, includes last points.
dim	Space dimension.

int MGPPRep::restore

(

MGIfstream &

)

Restore Function.

int MGPPRep::sdim ( ) const

inline

Returns the space dimension.

void MGPPRep::store_at	(	int	i,
		int	j,
		const MGVector &	v
	)

Store the vector v at coef(i,j).

フレンドと関連関数の詳解

MG_DLL_DECLR friend std::ostream& operator<< ( std::ostream &  , const MGPPRep &    )

friend

String stream output Function.

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このクラス詳解は次のファイルから抽出されました:

• mg/PPRep.h