Template base class spline interpolations. More...

#include <JHermiteSpline.hh>

Inheritance diagram for JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >:

Public Types
typedef JCollection_t< JElement_t, JDistance_t >	collection_type

typedef collection_type::abscissa_type	abscissa_type

typedef collection_type::ordinate_type	ordinate_type

typedef collection_type::value_type	value_type

typedef collection_type::distance_type	distance_type

typedef collection_type::const_iterator	const_iterator

typedef collection_type::const_reverse_iterator	const_reverse_iterator

typedef collection_type::iterator	iterator

typedef collection_type::reverse_iterator	reverse_iterator

typedef JArgument_t	argument_type

typedef JResult_t	result_type

typedef JFunctional< argument_type, result_type >	functional_type

typedef JSupervisor	supervisor_type

Public Member Functions
void	compile (const bool monotone)
	Determination of derivatives. More...

virtual result_type	evaluate (const argument_type *pX) const=0
	Recursive function value evaluation. More...

JSupervisor	getSupervisor () const
	Get supervisor. More...

const JExceptionHandler &	getExceptionHandler () const
	Get exception handler. More...

void	setExceptionHandler (const JSupervisor &supervisor)
	Set the supervisor for handling of exceptions. More...

Static Public Member Functions
static result_type	getValue (const JFunctional &function, const argument_type *pX)
	Recursive function value evaluation. More...

static JClass< result_type >::argument_type	getValue (typename JClass< result_type >::argument_type value, const argument_type *pX)
	Termination of recursive function value evaluation. More...

Protected Member Functions
	JHermiteSplineCollection ()
	Default constructor. More...

virtual void	do_compile () override
	Determination of derivatives. More...

Static Protected Member Functions
static abscissa_type	h00 (abscissa_type t)

static abscissa_type	h10 (abscissa_type t)

static abscissa_type	h01 (abscissa_type t)

static abscissa_type	h11 (abscissa_type t)

static abscissa_type	h00p (abscissa_type t)

static abscissa_type	h10p (abscissa_type t)

static abscissa_type	h01p (abscissa_type t)

static abscissa_type	h11p (abscissa_type t)

static abscissa_type	H00 (abscissa_type t)

static abscissa_type	H10 (abscissa_type t)

static abscissa_type	H01 (abscissa_type t)

static abscissa_type	H11 (abscissa_type t)

Protected Attributes
JSupervisor	supervisor

Detailed Description

template<class JElement_t, template< class, class > class JCollection_t, class JDistance_t>
class JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >

Template base class spline interpolations.

This class implements the JFunctional interface.

Note that the data structure of the elements in the collection should have the additional methods:

    ordinate_type getU() const;
    void setU(ordinate_type u);

to get and set the derivatives, respectively.

Note that -by default- the compilation is for a monotonous interpolation.

Definition at line 50 of file JHermiteSpline.hh.

Member Typedef Documentation

◆ collection_type

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

typedef JCollection_t<JElement_t, JDistance_t> JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::collection_type

Definition at line 56 of file JHermiteSpline.hh.

◆ abscissa_type

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

typedef collection_type::abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::abscissa_type

Definition at line 58 of file JHermiteSpline.hh.

◆ ordinate_type

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

typedef collection_type::ordinate_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::ordinate_type

Definition at line 59 of file JHermiteSpline.hh.

◆ value_type

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

typedef collection_type::value_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::value_type

Definition at line 60 of file JHermiteSpline.hh.

◆ distance_type

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

typedef collection_type::distance_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::distance_type

Definition at line 61 of file JHermiteSpline.hh.

◆ const_iterator

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

typedef collection_type::const_iterator JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::const_iterator

Definition at line 63 of file JHermiteSpline.hh.

◆ const_reverse_iterator

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

typedef collection_type::const_reverse_iterator JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::const_reverse_iterator

Definition at line 64 of file JHermiteSpline.hh.

◆ iterator

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

typedef collection_type::iterator JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::iterator

Definition at line 65 of file JHermiteSpline.hh.

◆ reverse_iterator

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

typedef collection_type::reverse_iterator JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::reverse_iterator

Definition at line 66 of file JHermiteSpline.hh.

◆ argument_type

typedef JArgument_t JTOOLS::JFunctional< JArgument_t, JResult_t >::argument_type

inherited

Definition at line 86 of file JFunctional.hh.

◆ result_type

typedef JResult_t JTOOLS::JFunctional< JArgument_t, JResult_t >::result_type

inherited

Definition at line 87 of file JFunctional.hh.

◆ functional_type

typedef JFunctional<argument_type, result_type> JTOOLS::JFunctional< JArgument_t, JResult_t >::functional_type

inherited

Definition at line 88 of file JFunctional.hh.

◆ supervisor_type

typedef JSupervisor JTOOLS::JFunctional< JArgument_t, JResult_t >::supervisor_type

inherited

Definition at line 89 of file JFunctional.hh.

Constructor & Destructor Documentation

◆ JHermiteSplineCollection()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::JHermiteSplineCollection ( )

inlineprotected

Default constructor.

Definition at line 146 of file JHermiteSpline.hh.

147 {}

Member Function Documentation

◆ compile()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

void JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::compile ( const bool monotone )

inline

Determination of derivatives.

Parameters

monotone monotone

Definition at line 76 of file JHermiteSpline.hh.

     {
       using namespace std;
       
       if (this->size() >= 2u) {
  
         {
           iterator         j = this->begin(), i = j++;
  
           i->setU((j->getY() - i->getY()) / this->getDistance(i->getX(), j->getX()));
         }               
  
         {
           reverse_iterator j = this->rbegin(), i = j++;
  
           i->setU((j->getY() - i->getY()) / this->getDistance(i->getX(), j->getX()));
         }       
         
         for (iterator k = this->begin(), i = k++, j = k++; k != this->end(); ++i, ++j, ++k) {
           j->setU(0.5 * ((j->getY() - i->getY()) / this->getDistance(i->getX(), j->getX()) +
                          (k->getY() - j->getY()) / this->getDistance(j->getX(), k->getX())));
         }
  
         if (monotone) {
           
           for (iterator j = this->begin(), i = j++; j != this->end(); ++i, ++j) {
             if (i->getY() == j->getY()) {
               j->setU(JMATH::zero);
             }
           }
  
           for (iterator j = this->begin(), i = j++; j != this->end(); ++i, ++j) {
  
             const ordinate_type u = (j->getY() - i->getY()) / this->getDistance(i->getX(), j->getX());
             const ordinate_type w = (i->getU()*i->getU() + j->getU()*j->getU());
             
             if (w > 9.0*u*u) {
  
               const ordinate_type v = 3.0*u/sqrt(w);
  
               i->setU(v*i->getU());
               j->setU(v*j->getU());
             }
           }
         }
       }
     }

◆ h00()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::h00 ( abscissa_type t )

inlinestaticprotected

Definition at line 127 of file JHermiteSpline.hh.

127 { return (1.0 + 2*t) * (1.0 - t) * (1.0 - t); }

◆ h10()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::h10 ( abscissa_type t )

inlinestaticprotected

Definition at line 128 of file JHermiteSpline.hh.

128 { return t * (1.0 - t) * (1.0 - t); }

◆ h01()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::h01 ( abscissa_type t )

inlinestaticprotected

Definition at line 129 of file JHermiteSpline.hh.

129 { return t * t * (3.0 - 2*t); }

◆ h11()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::h11 ( abscissa_type t )

inlinestaticprotected

Definition at line 130 of file JHermiteSpline.hh.

130 { return t * t * (t - 1.0); }

◆ h00p()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::h00p ( abscissa_type t )

inlinestaticprotected

Definition at line 132 of file JHermiteSpline.hh.

132 { return 6 * t * (t - 1.0); }

◆ h10p()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::h10p ( abscissa_type t )

inlinestaticprotected

Definition at line 133 of file JHermiteSpline.hh.

133 { return t * (3*t - 4.0) + 1.0; }

◆ h01p()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::h01p ( abscissa_type t )

inlinestaticprotected

Definition at line 134 of file JHermiteSpline.hh.

134 { return 6 * t * (1.0 -t); }

◆ h11p()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::h11p ( abscissa_type t )

inlinestaticprotected

Definition at line 135 of file JHermiteSpline.hh.

135 { return t * (3*t - 2.0); }

◆ H00()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::H00 ( abscissa_type t )

inlinestaticprotected

Definition at line 137 of file JHermiteSpline.hh.

137 { return t * (t * t * (0.5*t - 1.0) + 1.0); }

◆ H10()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::H10 ( abscissa_type t )

inlinestaticprotected

Definition at line 138 of file JHermiteSpline.hh.

138 { return t * t * (t * (0.25*t - 2.0/3.0) + 0.5); }

◆ H01()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::H01 ( abscissa_type t )

inlinestaticprotected

Definition at line 139 of file JHermiteSpline.hh.

139 { return t * t * t * (1.0 - 0.5*t); }

◆ H11()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

static abscissa_type JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::H11 ( abscissa_type t )

inlinestaticprotected

Definition at line 140 of file JHermiteSpline.hh.

140 { return t * t * t * (0.25*t - 1.0/3.0); }

◆ do_compile()

template<class JElement_t , template< class, class > class JCollection_t, class JDistance_t >

virtual void JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >::do_compile ( )

inlineoverrideprotectedvirtual

Determination of derivatives.

Reimplemented in JTOOLS::JHermiteSplineFunction< JElement_t, JCollection_t, JResultPDF< typename JResultType< typename JElement_t::ordinate_type >::result_type >, JDistance_t >.

Definition at line 153 of file JHermiteSpline.hh.

     {
       compile(true);
     }

◆ evaluate()

virtual result_type JTOOLS::JFunctional< JArgument_t, JResult_t >::evaluate ( const argument_type * pX ) const

pure virtualinherited

Recursive function value evaluation.

Parameters

pX	pointer to abscissa values

Returns: function value

Implemented in JTOOLS::JSplineFunction< JElement_t, JCollection_t, JResultPDF< typename JResultType< typename JElement_t::ordinate_type >::result_type >, JDistance_t >, JTOOLS::JSplineFunction< JElement_t, JCollection_t, JResultDerivative< typename JResultType< typename JElement_t::ordinate_type >::result_type >, JDistance_t >, JTOOLS::JSplineFunction< JElement_t, JCollection_t, typename JResultType< typename JElement_t::ordinate_type >::result_type, JDistance_t >, JTOOLS::JHermiteSplineFunction< JElement_t, JCollection_t, JResultPDF< typename JResultType< typename JElement_t::ordinate_type >::result_type >, JDistance_t >, JTOOLS::JHermiteSplineFunction< JElement_t, JCollection_t, JResultDerivative< typename JResultType< typename JElement_t::ordinate_type >::result_type >, JDistance_t >, and JTOOLS::JHermiteSplineFunction< JElement_t, JCollection_t, typename JResultType< typename JElement_t::ordinate_type >::result_type, JDistance_t >.

◆ getValue() [1/2]

static result_type JTOOLS::JFunctional< JArgument_t, JResult_t >::getValue	(	const JFunctional<> &	function,
		const argument_type *	pX
	)

inlinestaticinherited

Recursive function value evaluation.

Parameters

function	function
pX	pointer to abscissa values

Definition at line 107 of file JFunctional.hh.

     {
       return function.evaluate(pX);
     }

◆ getValue() [2/2]

static JClass<result_type>::argument_type JTOOLS::JFunctional< JArgument_t, JResult_t >::getValue	(	typename JClass< result_type >::argument_type	value,
		const argument_type *	pX
	)

inlinestaticinherited

Termination of recursive function value evaluation.

Parameters

value	result
pX	pointer to abscissa values

Definition at line 121 of file JFunctional.hh.

     {
       return value;
     }

◆ getSupervisor()

JSupervisor JTOOLS::JFunctional< JArgument_t, JResult_t >::getSupervisor ( ) const

inlineinherited

Get supervisor.

Returns: supervisor

Definition at line 281 of file JFunctional.hh.

     {
       return supervisor;
     }

◆ getExceptionHandler()

const JExceptionHandler& JTOOLS::JFunctional< JArgument_t, JResult_t >::getExceptionHandler ( ) const

inlineinherited

Get exception handler.

Returns: exception handler

Definition at line 292 of file JFunctional.hh.

     {
       return *supervisor;
     }

◆ setExceptionHandler()

void JTOOLS::JFunctional< JArgument_t, JResult_t >::setExceptionHandler ( const JSupervisor & supervisor )

inlineinherited

Set the supervisor for handling of exceptions.

Parameters

supervisor supervisor

Definition at line 303 of file JFunctional.hh.

     {
       this->supervisor = supervisor;
     }

Member Data Documentation

◆ supervisor

JSupervisor JTOOLS::JFunctional< JArgument_t, JResult_t >::supervisor

protectedinherited

Definition at line 310 of file JFunctional.hh.

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

JHermiteSpline.hh

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Detailed Description

template<class JElement_t, template< class, class > class JCollection_t, class JDistance_t> class JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >

Member Typedef Documentation

◆ collection_type

◆ abscissa_type

◆ ordinate_type

◆ value_type

◆ distance_type

◆ const_iterator

◆ const_reverse_iterator

◆ iterator

◆ reverse_iterator

◆ argument_type

◆ result_type

◆ functional_type

◆ supervisor_type

Constructor & Destructor Documentation

◆ JHermiteSplineCollection()

Member Function Documentation

◆ compile()

◆ h00()

◆ h10()

◆ h01()

◆ h11()

◆ h00p()

◆ h10p()

◆ h01p()

◆ h11p()

◆ H00()

◆ H10()

◆ H01()

◆ H11()

◆ do_compile()

◆ evaluate()

◆ getValue() [1/2]

◆ getValue() [2/2]

◆ getSupervisor()

◆ getExceptionHandler()

◆ setExceptionHandler()

Member Data Documentation

◆ supervisor

template<class JElement_t, template< class, class > class JCollection_t, class JDistance_t>
class JTOOLS::JHermiteSplineCollection< JElement_t, JCollection_t, JDistance_t >