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

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

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

virtual const JExceptionHandler &	getExceptionHandler () const=0
	Get exception handler.

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

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

Protected Member Functions
	JHermiteSplineCollection ()
	Default constructor.

virtual void	do_compile () override
	Determination of derivatives.

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)

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 >

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 >

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 >

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 >

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 >

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 >

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 >

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 >

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 >

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

Definition at line 66 of file JHermiteSpline.hh.

◆ argument_type

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

inherited

Definition at line 83 of file JFunctional.hh.

◆ result_type

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

inherited

Definition at line 84 of file JFunctional.hh.

◆ functional_type

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

inherited

Definition at line 85 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::JHermiteSplineFunction< JElement_t, JCollection_t, JResultDerivative< 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, 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, JResultPDF< typename JResultType< typename JElement_t::ordinate_type >::result_type >, JDistance_t >, and JTOOLS::JSplineFunction< 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 103 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 117 of file JFunctional.hh.

    {
      return value;
    }

◆ getExceptionHandler()

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

pure virtualinherited

Get exception handler.

Returns: exception handler

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

Detailed Description

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

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]

◆ getExceptionHandler()