Splines

#include <SplineQuinticBase.hxx>

Inheritance diagram for Splines::QuinticSplineBase:

Public Member Functions
void	copy_spline (QuinticSplineBase const &S)
void	set_range (real_type xmin, real_type xmax)
void	reserve_external (integer n, real_type *&p_x, real_type *&p_y, real_type *&p_Yp, real_type *&p_Ypp)
void	reserve (integer npts) override
void	clear () override
integer	coeffs (real_type cfs[], real_type nodes[], bool transpose=false) const override
integer	order () const override
Constructors
	QuinticSplineBase (string const &name="QuinticSplineBase")
	~QuinticSplineBase () override
Info
real_type	yp_node (integer i) const
real_type	ypp_node (integer i) const
void	y_min_max (integer &i_min_pos, real_type &x_min_pos, real_type &y_min, integer &i_max_pos, real_type &x_max_pos, real_type &y_max) const override
void	y_min_max (vector< integer > &i_min_pos, vector< real_type > &x_min_pos, vector< real_type > &y_min, vector< integer > &i_max_pos, vector< real_type > &x_max_pos, vector< real_type > &y_max) const override
void	write_to_stream (ostream_type &s) const override
SplineType1D	type () const override
Evaluation Aliases
real_type	eval (real_type x) const override
real_type	D (real_type x) const override
real_type	DD (real_type x) const override
real_type	DDD (real_type x) const override
real_type	DDDD (real_type x) const override
real_type	DDDDD (real_type x) const override
Evaluation when segment is known
real_type	id_eval (integer ni, real_type x) const override
real_type	id_D (integer ni, real_type x) const override
real_type	id_DD (integer ni, real_type x) const override
real_type	id_DDD (integer ni, real_type x) const override
real_type	id_DDDD (integer ni, real_type x) const override
real_type	id_DDDDD (integer ni, real_type x) const override
Public Member Functions inherited from Splines::Spline
void	search (std::pair< integer, real_type > &res) const
	Spline (string const &name="Spline")
virtual	~Spline ()
string const &	name () const
bool	is_closed () const
void	make_closed ()
void	make_opened ()
bool	is_bounded () const
void	make_unbounded ()
void	make_bounded ()
bool	is_extended_constant () const
void	make_extended_constant ()
void	make_extended_not_constant ()
integer	num_points () const
real_type	x_node (integer i) const
real_type	y_node (integer i) const
real_type	x_begin () const
real_type	y_begin () const
real_type	x_end () const
real_type	y_end () const
real_type	x_min () const
real_type	x_max () const
real_type	y_min () const
real_type	y_max () const
void	build (GenericContainer const &gc)
virtual void	build (real_type const x[], integer incx, real_type const y[], integer incy, integer n)
void	build (real_type const x[], real_type const y[], integer n)
void	build (vector< real_type > const &x, vector< real_type > const &y)
virtual void	build ()=0
virtual void	setup (GenericContainer const &gc)
void	push_back (real_type x, real_type y)
void	drop_back ()
void	set_origin (real_type x0)
void	set_range (real_type xmin, real_type xmax)
void	dump (ostream_type &s, integer nintervals, char const header[]="x\ty") const
void	dump (char const fname[], integer nintervals, char const header[]="x\ty") const
real_type	operator() (real_type x) const
real_type	eval_D (real_type x) const
real_type	eval_DD (real_type x) const
real_type	eval_DDD (real_type x) const
real_type	eval_DDDD (real_type x) const
real_type	eval_DDDDD (real_type x) const
char const *	type_name () const
string	info () const
void	info (ostream_type &stream) const

Detailed Description

Quintic spline base class

Constructor & Destructor Documentation

QuinticSplineBase()

Splines::QuinticSplineBase::QuinticSplineBase

(

string const &

name = "QuinticSplineBase"

)

Build an empty spline of QuinticSplineBase type

Parameters

name	the name of the spline

~QuinticSplineBase()

Splines::QuinticSplineBase::~QuinticSplineBase ( )

inlineoverride

Spline destructor.

Member Function Documentation

clear()

void Splines::QuinticSplineBase::clear ( )

overridevirtual

Delete the support points, empty the spline.

Implements Splines::Spline.

coeffs()

integer Splines::QuinticSplineBase::coeffs ( real_type cfs[], real_type nodes[], bool transpose = false ) const

overridevirtual

Get the piecewise polinomials of the spline

Implements Splines::Spline.

copy_spline()

void Splines::QuinticSplineBase::copy_spline

(

QuinticSplineBase const &

S

)

Build a copy of spline S

D()

real_type Splines::QuinticSplineBase::D ( real_type x ) const

overridevirtual

First derivative

Implements Splines::Spline.

DD()

real_type Splines::QuinticSplineBase::DD ( real_type x ) const

overridevirtual

Second derivative

Implements Splines::Spline.

DDD()

real_type Splines::QuinticSplineBase::DDD ( real_type x ) const

overridevirtual

Third derivative

Implements Splines::Spline.

DDDD()

real_type Splines::QuinticSplineBase::DDDD ( real_type ) const

overridevirtual

4th derivative

Reimplemented from Splines::Spline.

DDDDD()

real_type Splines::QuinticSplineBase::DDDDD ( real_type ) const

overridevirtual

5th derivative

Reimplemented from Splines::Spline.

eval()

real_type Splines::QuinticSplineBase::eval ( real_type x ) const

overridevirtual

Evaluate spline value

Implements Splines::Spline.

id_D()

real_type Splines::QuinticSplineBase::id_D ( integer ni, real_type x ) const

overridevirtual

First derivative

Implements Splines::Spline.

id_DD()

real_type Splines::QuinticSplineBase::id_DD ( integer ni, real_type x ) const

overridevirtual

Second derivative

Implements Splines::Spline.

id_DDD()

real_type Splines::QuinticSplineBase::id_DDD ( integer ni, real_type x ) const

overridevirtual

Third derivative

Implements Splines::Spline.

id_DDDD()

real_type Splines::QuinticSplineBase::id_DDDD ( integer , real_type  ) const

overridevirtual

4th derivative

Reimplemented from Splines::Spline.

id_DDDDD()

real_type Splines::QuinticSplineBase::id_DDDDD ( integer , real_type  ) const

overridevirtual

5th derivative

Reimplemented from Splines::Spline.

id_eval()

real_type Splines::QuinticSplineBase::id_eval ( integer ni, real_type x ) const

overridevirtual

Evaluate spline value

Implements Splines::Spline.

order()

integer Splines::QuinticSplineBase::order ( ) const

overridevirtual

Spline order of the piecewise polynomial

Implements Splines::Spline.

reserve()

void Splines::QuinticSplineBase::reserve ( integer npts )

overridevirtual

Allocate memory for npts points

Implements Splines::Spline.

reserve_external()

void Splines::QuinticSplineBase::reserve_external	(	integer	n,
		real_type *&	p_x,
		real_type *&	p_y,
		real_type *&	p_Yp,
		real_type *&	p_Ypp )

Use externally allocated memory for npts points

set_range()

void Splines::QuinticSplineBase::set_range	(	real_type	xmin,
		real_type	xmax )

Change X-range of the spline

type()

SplineType1D Splines::QuinticSplineBase::type ( ) const

inlineoverridevirtual

spline type returned as integer

Implements Splines::Spline.

write_to_stream()

void Splines::QuinticSplineBase::write_to_stream ( ostream_type & s ) const

overridevirtual

Print spline coefficients

Implements Splines::Spline.

y_min_max() [1/2]

void Splines::QuinticSplineBase::y_min_max ( integer & i_min_pos, real_type & x_min_pos, real_type & y_min, integer & i_max_pos, real_type & x_max_pos, real_type & y_max ) const

overridevirtual

Search the max and min values of y along the spline with the corresponding x position

Parameters

[out]	i_min_pos	interval where is the minimum
[out]	x_min_pos	where is the minimum
[out]	y_min	the minimum value
[out]	i_max_pos	interval where is the maximum
[out]	x_max_pos	where is the maximum
[out]	y_max	the maximum value

Reimplemented from Splines::Spline.

y_min_max() [2/2]

void Splines::QuinticSplineBase::y_min_max ( vector< integer > & i_min_pos, vector< real_type > & x_min_pos, vector< real_type > & y_min, vector< integer > & i_max_pos, vector< real_type > & x_max_pos, vector< real_type > & y_max ) const

overridevirtual

Search the max and min values of y along the spline with the corresponding x position

Parameters

[out]	i_min_pos	interval where is the minimum
[out]	x_min_pos	where is the minimum
[out]	y_min	the minimum value
[out]	i_max_pos	interval where is the maximum
[out]	x_max_pos	where is the maximum
[out]	y_max	the maximum value

Reimplemented from Splines::Spline.

yp_node()

real_type Splines::QuinticSplineBase::yp_node ( integer i ) const

inline

Return the i-th node of the spline (y' component).

ypp_node()

real_type Splines::QuinticSplineBase::ypp_node ( integer i ) const

inline

Return the i-th node of the spline (y'' component).

---

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

• /Users/enrico/Ricerca/develop/PINS/pins-mechatronix/LibSources/submodules/Splines/src/Splines/SplineQuinticBase.hxx
• /Users/enrico/Ricerca/develop/PINS/pins-mechatronix/LibSources/submodules/Splines/src/SplineQuinticBase.cc