A simple method for a one—dimensional interpolation on a given set of data points (xi, yi). More...

#include <CubicSpiline.h>

Inheritance diagram for hydra::CubicSpiline< N, ArgIndex >:

Collaboration diagram for hydra::CubicSpiline< N, ArgIndex >:

Public Member Functions
	CubicSpiline ()=default

template<typename Iterator1 , typename Iterator2 >
	CubicSpiline (Iterator1 xbegin, Iterator2 ybegin)

__hydra_host__ __hydra_device__	CubicSpiline (CubicSpiline< N, ArgIndex > const &other)

template<typename T >
__hydra_host__ __hydra_device__ double	Evaluate (unsigned int n, T *x) const

template<typename T >
__hydra_host__ __hydra_device__ double	Evaluate (T x) const

__hydra_host__ __hydra_device__ const GReal_t *	GetD () const

__hydra_host__ __hydra_device__ const GReal_t *	GetX () const

__hydra_host__ __hydra_device__ CubicSpiline< N > &	operator= (CubicSpiline< N, ArgIndex > const &other)

__hydra_host__ __hydra_device__ void	SetD (unsigned int i, GReal_t value)

__hydra_host__ __hydra_device__ void	SetX (unsigned int i, GReal_t value)

Public Member Functions inherited from hydra::BaseFunctor< CubicSpiline< N, ArgIndex >, GReal_t, 0 >
__hydra_host__ __hydra_device__	BaseFunctor ()
	Default constructor. More...

	BaseFunctor (std::initializer_list< Parameter > init_parameters)
	Constructor taking a list of parameters. More...

	BaseFunctor (std::array< Parameter, NPARAM > const &init_parameters)
	Constructor taking std::array of parameters. More...

__hydra_host__ __hydra_device__	BaseFunctor (BaseFunctor< CubicSpiline< N, ArgIndex >, GReal_t, NPARAM > const &other)
	Copy constructor. More...

__hydra_host__ __hydra_device__ CubicSpiline< N, ArgIndex > &	GetFunctor ()

__hydra_host__ __hydra_device__ GReal_t	GetNorm () const

__hydra_host__ __hydra_device__ std::enable_if<(!detail::is_valid_type_pack< argument_type, T... >::value), return_type >::type	operator() (T...x) const

__hydra_host__ __hydra_device__ std::enable_if< detail::is_valid_type_pack< argument_type, T... >::value, return_type >::type	operator() (T...x) const
	Function call operator overload taking a pack of parameters convertible to the lambda signature. More...

__hydra_host__ __hydra_device__ std::enable_if<(detail::is_tuple_type< typename std::decay< T >::type >::value) &&(!detail::is_tuple_of_function_arguments< typename std::decay< T >::type >::value) &&(hydra::thrust::detail::is_convertible< typename std::decay< T >::type, argument_type >::value), return_type >::type	operator() (T x) const
	Unary function call operator overload taking a tuple containing the lambda arguments in any other. More...

__hydra_host__ __hydra_device__ std::enable_if<(detail::is_tuple_type< typename std::decay< T >::type >::value) &&(detail::is_tuple_of_function_arguments< typename std::decay< T >::type >::value), return_type >::type	operator() (T x) const
	Unary function call operator overload taking a tuple containing the lambda arguments in any other. More...

__hydra_host__ __hydra_device__ std::enable_if<(detail::is_tuple_type< typename std::decay< T1 >::type >::value) &&(detail::is_tuple_of_function_arguments< typename std::decay< T1 >::type >::value) &&(detail::is_tuple_type< typename std::decay< T2 >::type >::value) &&(detail::is_tuple_of_function_arguments< typename std::decay< T2 >::type >::value), return_type >::type	operator() (T1 x, T2 y) const
	Binary function call operator overload taking two tuples containing the lambda arguments in any other. More...

__hydra_host__ __hydra_device__ std::enable_if<(!detail::is_tuple_type< typename std::decay< T1 >::type >::value) &&(detail::is_function_argument< typename std::decay< T1 >::type >::value) &&(detail::is_tuple_type< typename std::decay< T2 >::type >::value) &&(detail::is_tuple_of_function_arguments< typename std::decay< T2 >::type >::value), return_type >::type	operator() (T1 x, T2 y) const
	Binary function call operator overload taking one tuple and a non-tuple, that containing put together would contain the lambda arguments in any order. More...

__hydra_host__ __hydra_device__ std::enable_if<(!detail::is_tuple_type< typename std::decay< T1 >::type >::value) &&(detail::is_function_argument< typename std::decay< T1 >::type >::value) &&(detail::is_tuple_type< typename std::decay< T2 >::type >::value) &&(detail::is_tuple_of_function_arguments< typename std::decay< T2 >::type >::value), return_type >::type	operator() (T2 y, T1 x) const
	Binary function call operator overload taking one tuple and a non-tuple, that containing put together would contain the lambda arguments in any other. More...

__hydra_host__ __hydra_device__ BaseFunctor< CubicSpiline< N, ArgIndex >, GReal_t, NPARAM > &	operator= (BaseFunctor< CubicSpiline< N, ArgIndex >, GReal_t, NPARAM > const &other)
	Assignment operator. More...

void	PrintRegisteredParameters ()
	Print registered parameters. More...

__hydra_host__ __hydra_device__ void	SetNorm (GReal_t norm)

Public Member Functions inherited from hydra::detail::Parameters< NPARAM >
	Parameters ()=default

	Parameters (std::initializer_list< hydra::Parameter > init_parameters)

	Parameters (std::array< hydra::Parameter, N > const &init_parameters)

__hydra_host__ __hydra_device__	Parameters (hydra::Parameter(&init_parameters)[N])

__hydra_host__ __hydra_device__	Parameters (Parameters< N > const &other)

void	AddUserParameters (std::vector< hydra::Parameter * > &user_parameters)

__hydra_host__ __hydra_device__ size_t	GetNumberOfParameters () const

__hydra_host__ __hydra_device__ const hydra::Parameter &	GetParameter (Int i) const

__hydra_host__ const hydra::Parameter &	GetParameter (const char *name) const

__hydra_host__ __hydra_device__ const hydra::Parameter *	GetParameters () const

size_t	GetParametersKey ()

__hydra_host__ __hydra_device__ Parameters< N > &	operator= (Parameters< N > const &other)

__hydra_host__ __hydra_device__ GReal_t	operator[] (Int i) const

__hydra_host__ __hydra_device__ hydra::Parameter &	Parameter (Int i)

__hydra_host__ hydra::Parameter &	Parameter (const char *name)

void	PrintParameters ()
	Print registered parameters. More...

__hydra_host__ __hydra_device__ void	SetParameter (Int i, hydra::Parameter const &value)

__hydra_host__ __hydra_device__ void	SetParameter (Int i, double value)

__hydra_host__ void	SetParameter (const char *name, hydra::Parameter const &value)

__hydra_host__ void	SetParameter (const char *name, double value)

__hydra_host__ void	SetParameters (const std::vector< double > &parameters)
	Set parameters. More...

virtual void	Update (void)
	This method offers an opportunity to redo calculations and update values that depends only on the functor parameters. More...

Additional Inherited Members
Public Types inherited from hydra::BaseFunctor< CubicSpiline< N, ArgIndex >, GReal_t, 0 >
enum

typedef detail::signature_traits< GReal_t >::argument_type	argument_type

typedef void	hydra_functor_type

typedef detail::signature_traits< GReal_t >::return_type	return_type

Static Public Attributes inherited from hydra::detail::Parameters< NPARAM >
static const size_t	parameter_count

Protected Attributes inherited from hydra::BaseFunctor< CubicSpiline< N, ArgIndex >, GReal_t, 0 >
BaseFunctor< CubicSpiline< N, ArgIndex >, GReal_t, NPARAM > &	_par

Detailed Description

template<size_t N, unsigned int ArgIndex = 0>
class hydra::CubicSpiline< N, ArgIndex >

A simple method for a one—dimensional interpolation on a given set of data points (xi, yi).

In each interval (xi,x,-+1) the interpolation function is assumed to be a third- order polynomial passing through the data points. The slope at each grid point is determined in such a way as to guarantee a monotonic behavior of the interpolating function. The result is a smooth curve with continuous ﬁrst-order derivatives that passes through any given set of data points without spurious oscillations. Local extrema can occur only at grid points where they are given by the data, but not in between two adjacent grid points. The method gives exact results if the data points correspond to a second-order polynomial.

Reference: M. Steffen, Astron. Astrophys. 239, 443—450 (1990).