Splines

bilinear spline base class More...

#include <SplineBilinear.hxx>

Inheritance diagram for Splines::BilinearSpline:

Public Member Functions
	BilinearSpline (string const &name="BilinearSpline")
	~BilinearSpline () override
real_type	eval (real_type x, real_type y) const override
void	D (real_type x, real_type y, real_type d[3]) const override
real_type	Dx (real_type x, real_type y) const override
real_type	Dy (real_type x, real_type y) const override
void	DD (real_type x, real_type y, real_type dd[6]) const override
real_type	Dxx (real_type, real_type) const override
real_type	Dxy (real_type, real_type) const override
real_type	Dyy (real_type, real_type) const override
void	write_to_stream (ostream_type &s) const override
char const *	type_name () const override
Public Member Functions inherited from Splines::SplineSurf
	SplineSurf (string const &name="Spline")
virtual	~SplineSurf ()
void	clear ()
virtual string	info () const
void	info (ostream_type &stream) const
void	dump_data (ostream_type &s) const
bool	is_x_closed () const
void	make_x_closed ()
void	make_x_opened ()
bool	is_y_closed () const
void	make_y_closed ()
void	make_y_opened ()
bool	is_x_bounded () const
void	make_x_unbounded ()
void	make_x_bounded ()
bool	is_y_bounded () const
void	make_y_unbounded ()
void	make_y_bounded ()
string const &	name () const
integer	num_point_x () const
integer	num_point_y () const
real_type	x_node (integer i) const
real_type	y_node (integer i) const
real_type	z_node (integer i, integer j) const
real_type	x_min () const
real_type	x_max () const
real_type	y_min () const
real_type	y_max () const
real_type	z_min () const
real_type	z_max () const
void	build (real_type const x[], integer incx, real_type const y[], integer incy, real_type const z[], integer ldZ, integer nx, integer ny, bool fortran_storage=false, bool transposed=false)
void	build (vector< real_type > const &x, vector< real_type > const &y, vector< real_type > const &z, bool fortran_storage=false, bool transposed=false)
void	build (real_type const z[], integer ldZ, integer nx, integer ny, bool fortran_storage=false, bool transposed=false)
void	build (vector< real_type > const &z, integer nx, integer ny, bool fortran_storage=false, bool transposed=false)
void	setup (GenericContainer const &gc)
void	build (GenericContainer const &gc)
real_type	operator() (real_type x, real_type y) const
real_type	eval_D_1 (real_type x, real_type y) const
real_type	eval_D_2 (real_type x, real_type y) const
real_type	eval_D_1_1 (real_type x, real_type y) const
real_type	eval_D_1_2 (real_type x, real_type y) const
real_type	eval_D_2_2 (real_type x, real_type y) const

Detailed Description

bilinear spline base class

Constructor & Destructor Documentation

BilinearSpline()

Splines::BilinearSpline::BilinearSpline ( string const & name = "BilinearSpline" )

inline

Build an empty spline of BilinearSpline type

Parameters

name	the name of the spline

~BilinearSpline()

Splines::BilinearSpline::~BilinearSpline ( )

inlineoverride

Spline destructor.

Member Function Documentation

D()

void Splines::BilinearSpline::D ( real_type x, real_type y, real_type d[3] ) const

overridevirtual

Value and first derivatives at point \( (x,y) \):

• d[0] value of the spline \( S(x,y) \)
• d[1] derivative respect to \( x \) of the spline: \( S_x(x,y) \)
• d[2] derivative respect to \( y \) of the spline: \( S_y(x,y) \)

Implements Splines::SplineSurf.

DD()

void Splines::BilinearSpline::DD ( real_type x, real_type y, real_type dd[6] ) const

overridevirtual

Value, first and second derivatives at point \( (x,y) \):

• dd[0] value of the spline \( S(x,y) \)
• dd[1] derivative respect to \( x \) of the spline: \( S_x(x,y) \)
• dd[2] derivative respect to \( y \) of the spline: \( S_y(x,y) \)
• dd[3] second derivative respect to \( x \) of the spline: \( S_{xx}(x,y) \)
• dd[4] mixed second derivative: \( S_{xy}(x,y) \)
• dd[5] second derivative respect to \( y \) of the spline: \( S_{yy}(x,y) \)

Implements Splines::SplineSurf.

Dx()

real_type Splines::BilinearSpline::Dx ( real_type x, real_type y ) const

overridevirtual

First derivatives respect to \( x \) at point \( (x,y) \) of the spline: \( S_x(x,y) \).

Implements Splines::SplineSurf.

Dxx()

real_type Splines::BilinearSpline::Dxx ( real_type x, real_type y ) const

inlineoverridevirtual

Second derivatives respect to \( x \) at point \( (x,y) \) of the spline: \( S_{xx}(x,y) \).

Implements Splines::SplineSurf.

Dxy()

real_type Splines::BilinearSpline::Dxy ( real_type x, real_type y ) const

inlineoverridevirtual

Mixed second derivatives: \( S_{xy}(x,y) \).

Implements Splines::SplineSurf.

Dy()

real_type Splines::BilinearSpline::Dy ( real_type x, real_type y ) const

overridevirtual

First derivatives respect to \( y \) at point \( (x,y) \) of the spline: \( S_y(x,y) \).

Implements Splines::SplineSurf.

Dyy()

real_type Splines::BilinearSpline::Dyy ( real_type x, real_type y ) const

inlineoverridevirtual

Second derivatives respect to \( y \) at point \( (x,y) \) of the spline: \( S_{yy}(x,y) \).

Implements Splines::SplineSurf.

eval()

real_type Splines::BilinearSpline::eval ( real_type x, real_type y ) const

overridevirtual

Evaluate spline value at point \( (x,y) \).

Implements Splines::SplineSurf.

type_name()

char const * Splines::BilinearSpline::type_name ( ) const

overridevirtual

Return spline type as a string pointer.

Implements Splines::SplineSurf.

write_to_stream()

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

overridevirtual

Print spline coefficients.

Implements Splines::SplineSurf.

---

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

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