#include <interpolant.hh>

Inheritance diagram for InterpolantImplicit:

Collaboration diagram for InterpolantImplicit:

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Classes
class	FuncExplicit
	class FuncExplicit. More...

Public Member Functions
Construction.
	InterpolantImplicit ()
	constructor More...

template<template< class > class Func, class Type >
	InterpolantImplicit (Func< Type > *func, bool interpolate_derivative=false)
	Constructor with functor setting. More...

virtual	~InterpolantImplicit (void)
	destructor More...

template<template< class > class Func, class Type >
void	set_functor (Func< Type > *func, bool interpolate_derivative=false)
	Sets the implicit functor. More...

Evaluation.
void	fix_variable (IFixVariable::Type fix, double value)

double	val (double u)
	Returns interpolated value. More...

DiffValue	diff (double u)
	Returns interpolated value of the derivation. More...

double	f_val (double x, double y)
	Returns interpolated value of the derivation. More...

double	f_val (double u)
	Returns value of the original functor when one of the variables is fixed. More...

DiffValue	f_diff (double x, double y)
	Returns 1st derivative of original functor using FADBAD. More...

double	f_diffn (double u, unsigned int n)

Public Member Functions inherited from InterpolantBase
	InterpolantBase ()
	Default constructor. More...

virtual	~InterpolantBase ()
	Destructor. More...

double	error ()
	Returns error of the interpolation. More...

double	bound_a () const
	Returns left boundary of the interval. More...

double	bound_b () const
	Returns right boundary of the interval. More...

unsigned int	size () const
	Returns the size of the interpolation table. More...

void	set_interval (double bound_a, double bound_b)
	Sets the interpolation interval boundaries. More...

void	set_size (unsigned int size)
	Sets size of the interpolation table. It is also equal to the number of intervals. More...

void	set_norm (ErrorNorm::Type norm_type=ErrorNorm::max, double p=2)
	Sets the type of norm used for computing estimate of the error of the interpolation. More...

void	set_size_automatic (double user_tol, unsigned int init_size, unsigned int max_size=default_max_size)
	Sets automatic choice of the size of the table. More...

void	set_extrapolation (Extrapolation::Type extrapolation)
	Sets the type of extrapolation. Functor type is default. More...

EvalStatistics	statistics () const
	Returns structure with evaluation statistics. More...

void	reset_stat ()
	Resets all measured statistics. More...

void	check_stats_and_reinterpolate (double percentage=0.3)
	Can be called to check automatically the evaluation statistics and possibly reinterpolate. More...

Interpolation.
FuncExplicit< double > *	func_u

IFunctorBase< double > *	func

IFunctorBase< B< double > > *	func_diff

IFunctorBase< T< double > > *	func_diffn

bool	interpolate_derivative
	Is true if we want to interpolate the derivative too. More...

Interpolant *	explicit_interpolant

IFixVariable::Type	fix_

double	fix_val

virtual int	interpolate ()
	Creates piecewise interpolation with polynomials of selected degree. More...

void	interpolate_p1 ()
	Creates piecewise linear interpolation. More...

Additional Inherited Members
Protected Member Functions inherited from InterpolantBase
long	fact (long x)
	Recursive factorial function (used in Taylor row expansion in n-th derivative computation). More...

void	check_all ()
	Checks that the parameters are set before interpolation. More...

Protected Attributes inherited from InterpolantBase
double	bound_a_
	Left interval boundary. More...

double	bound_b_
	Right interval boundary. More...

double	step
	Chosen interpolation step. More...

double	a_div_step
	bound_ divided by step - precomputed value for evaluation More...

unsigned int	size_
	Number of dividing intervals. More...

unsigned int	n_nodes
	Number of nodes in the interval . More...

double	user_tol
	User set tolerance which is used during automatic step choice. More...

unsigned int	max_size
	Maximal size of the interpolation table. More...

bool	automatic_size
	Is true if step/size should be chosen automatically. More...

ErrorNorm::Type	norm_type
	Type of norm used to compute error of the interpolation. More...

double	p
	Exponent used in norms and when computing error. More...

double	error_
	Error of the interpolation. More...

Extrapolation::Type	extrapolation

std::vector< bool >	checks
	Vector of boolean values telling us which parameters are set or not. More...

EvalStatistics	stats
	Structure which keeps evaluation statistics. See InterpolantBase::eval_statistics. More...

Static Protected Attributes inherited from InterpolantBase
const static unsigned int	n_derivatives = 10
	Defines how many derivatives we allow to be returned from Taylor's coeficients. More...

const static unsigned int	default_max_size = 10*1000
	Default maximal size of the interpolation table. More...

const static double	simpson_tolerance = 1e-10
	Tolerance in Adaptive Simpson intergration. More...

Detailed Description

Definition at line 426 of file interpolant.hh.

Constructor & Destructor Documentation

◆ InterpolantImplicit() [1/2]

InterpolantImplicit::InterpolantImplicit ( )

constructor

Definition at line 537 of file interpolant.cc.

◆ InterpolantImplicit() [2/2]

template<template< class > class Func, class Type >

InterpolantImplicit::InterpolantImplicit	(	Func< Type > *	func,
		bool	interpolate_derivative = `false`
	)

Constructor with functor setting.

Parameters

func	is the pointer to functor
interpolate_derivative	is true when derivate is also interpolated

Template Parameters

Func	is the functor type
Type	is the template type of the functor (e.g. double)

Definition at line 372 of file interpolant_impl.hh.

◆ ~InterpolantImplicit()

InterpolantImplicit::~InterpolantImplicit ( void )

virtual

destructor

Definition at line 549 of file interpolant.cc.

Member Function Documentation

◆ diff()

DiffValue InterpolantImplicit::diff ( double u )

inline

Returns interpolated value of the derivation.

Parameters

u	is the point at which we evaluate the interpolation

Definition at line 427 of file interpolant_impl.hh.

◆ f_diff()

DiffValue InterpolantImplicit::f_diff	(	double	x,
		double	y
	)

Returns 1st derivative of original functor using FADBAD.

Parameters

x	is function variable.
y	is function variable.

◆ f_diffn()

double InterpolantImplicit::f_diffn	(	double	u,
		unsigned int	n
	)

Returns n-th derivative of original functor using FADBAD. Uses coeficients in Taylor's row.

Parameters

u	is the point at which we evaluate the original functor
n	is the order of the derivative we want

◆ f_val() [1/2]

double InterpolantImplicit::f_val ( double u )

Returns value of the original functor when one of the variables is fixed.

Parameters

u	is function variable (the one not fixed).

Definition at line 564 of file interpolant.cc.

◆ f_val() [2/2]

double InterpolantImplicit::f_val	(	double	x,
		double	y
	)

Returns interpolated value of the derivation.

Parameters

x	is the point at which we evaluate the interpolation Returns value of the original functor.
x	is function variable.
y	is function variable.

◆ fix_variable()

void InterpolantImplicit::fix_variable	(	IFixVariable::Type	fix,
		double	value
	)

Fixes the chosen variable and sets its fixed value.

Parameters

fix	is the chosen variable (no_fix, fix_x or fix_y)
value	is the fixed value

Definition at line 557 of file interpolant.cc.

◆ interpolate()

int InterpolantImplicit::interpolate ( )

virtual

Creates piecewise interpolation with polynomials of selected degree.

Implements InterpolantBase.

Definition at line 570 of file interpolant.cc.

◆ interpolate_p1()

void InterpolantImplicit::interpolate_p1 ( )

protected

Creates piecewise linear interpolation.

Definition at line 595 of file interpolant.cc.

◆ set_functor()

template<template< class > class Func, class Type >

void InterpolantImplicit::set_functor	(	Func< Type > *	func,
		bool	interpolate_derivative = `false`
	)

Sets the implicit functor.

Parameters

func	is the pointer to implicit functor.

Template Parameters

Func	is the functor class.
Type	is the template type of the functor (e.g. double)

Definition at line 357 of file interpolant_impl.hh.

◆ val()

double InterpolantImplicit::val ( double u )

inline

Returns interpolated value.

Parameters

u	is the point at which we evaluate the interpolation

Definition at line 422 of file interpolant_impl.hh.

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Member Data Documentation

◆ explicit_interpolant

Interpolant* InterpolantImplicit::explicit_interpolant

protected

Definition at line 531 of file interpolant.hh.

◆ fix_

IFixVariable::Type InterpolantImplicit::fix_

protected

Definition at line 533 of file interpolant.hh.

◆ fix_val

double InterpolantImplicit::fix_val

protected

Definition at line 534 of file interpolant.hh.

◆ func

IFunctorBase<double>* InterpolantImplicit::func

protected

Definition at line 525 of file interpolant.hh.

◆ func_diff

IFunctorBase<B<double> >* InterpolantImplicit::func_diff

protected

Definition at line 526 of file interpolant.hh.

◆ func_diffn

IFunctorBase<T<double> >* InterpolantImplicit::func_diffn

protected

Definition at line 527 of file interpolant.hh.

◆ func_u

FuncExplicit<double>* InterpolantImplicit::func_u

protected

Definition at line 522 of file interpolant.hh.

◆ interpolate_derivative

bool InterpolantImplicit::interpolate_derivative

protected

Is true if we want to interpolate the derivative too.

Definition at line 529 of file interpolant.hh.

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

/opt/flow123d/flow123d/src/tools/interpolant.hh
/opt/flow123d/flow123d/src/tools/interpolant.cc
/opt/flow123d/flow123d/src/tools/interpolant_impl.hh

Classes

Public Member Functions

Interpolation.

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ InterpolantImplicit() [1/2]

◆ InterpolantImplicit() [2/2]

◆ ~InterpolantImplicit()

Member Function Documentation

◆ diff()

◆ f_diff()

◆ f_diffn()

◆ f_val() [1/2]

◆ f_val() [2/2]

◆ fix_variable()

◆ interpolate()

◆ interpolate_p1()

◆ set_functor()

◆ val()

Member Data Documentation

◆ explicit_interpolant

◆ fix_

◆ fix_val

◆ func

◆ func_diff

◆ func_diffn

◆ func_u

◆ interpolate_derivative