Splines

Bi-quintic spline base class. More...

#include <SplineBiQuintic.hxx>

Inheritance diagram for Splines::BiQuinticSplineBase:

Public Member Functions
	BiQuinticSplineBase (string const &name="Spline")
	spline constructor
Estimated derivatives at interpolation nodes
real_type	Dx_node (integer i, integer j) const
real_type	Dy_node (integer i, integer j) const
real_type	Dxx_node (integer i, integer j) const
real_type	Dyy_node (integer i, integer j) const
real_type	Dxy_node (integer i, integer j) const
Evaluate
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 x, real_type y) const override
real_type	Dxy (real_type x, real_type y) const override
real_type	Dyy (real_type x, real_type y) const override
Public Member Functions inherited from Splines::SplineSurf
	SplineSurf (string const &name="Spline")
virtual	~SplineSurf ()
void	clear ()
virtual void	write_to_stream (ostream_type &s) const =0
virtual char const *	type_name () const =0
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

Bi-quintic spline base class.

Member Function Documentation

D()

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

overridevirtual

Evaluate spline with derivative at point \( (x,y) \)

• d[0] the value of the spline
• d[1] the value of the spline x derivative
• d[2] the value of the spline y derivative

Implements Splines::SplineSurf.

DD()

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

overridevirtual

Evaluate spline with derivative at point \( (x,y) \)

• d[0] the value of the spline
• d[1] the value of the spline x derivative
• d[2] the value of the spline y derivative
• d[3] the value of the spline x second derivative
• d[4] the value of the spline y second derivative
• d[5] the value of the spline xy mixed derivative

Implements Splines::SplineSurf.

Dx()

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

overridevirtual

Evaluate spline x derivative at point \( (x,y) \)

Implements Splines::SplineSurf.

Dx_node()

real_type Splines::BiQuinticSplineBase::Dx_node ( integer i, integer j ) const

inline

Estimated x derivatives at node (i,j)

Dxx()

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

overridevirtual

Evaluate spline x second derivative at point \( (x,y) \)

Implements Splines::SplineSurf.

Dxx_node()

real_type Splines::BiQuinticSplineBase::Dxx_node ( integer i, integer j ) const

inline

Estimated x second derivatives at node (i,j)

Dxy()

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

overridevirtual

Evaluate spline xy mixed derivative at point \( (x,y) \)

Implements Splines::SplineSurf.

Dxy_node()

real_type Splines::BiQuinticSplineBase::Dxy_node ( integer i, integer j ) const

inline

Estimated mixed xy derivatives at node (i,j)

Dy()

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

overridevirtual

Evaluate spline y derivative at point \( (x,y) \)

Implements Splines::SplineSurf.

Dy_node()

real_type Splines::BiQuinticSplineBase::Dy_node ( integer i, integer j ) const

inline

Estimated y derivatives at node (i,j)

Dyy()

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

overridevirtual

Evaluate spline y second derivative at point \( (x,y) \)

Implements Splines::SplineSurf.

Dyy_node()

real_type Splines::BiQuinticSplineBase::Dyy_node ( integer i, integer j ) const

inline

Estimated y derivatives at node (i,j)

eval()

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

overridevirtual

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

Implements Splines::SplineSurf.

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

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