JTOOLS::JGaussHermite Class Reference

Numerical integrator for W(x) = e^-(x^2). More...

#include <JQuadrature.hh>

Inheritance diagram for JTOOLS::JGaussHermite:

Public Types
typedef JElement2D_t::abscissa_type	abscissa_type
typedef JElement2D_t::ordinate_type	ordinate_type
typedef JElement2D_t	value_type
typedef JDistance< typename JElement2D_t::abscissa_type >	distance_type
typedef JCollection < JElement2D_t, JDistance < typename JElement2D_t::abscissa_type > >	collection_type
typedef std::vector< value_type >	container_type
typedef container_type::const_iterator	const_iterator
typedef container_type::const_reverse_iterator	const_reverse_iterator
typedef container_type::iterator	iterator
typedef container_type::reverse_iterator	reverse_iterator
typedef JCollectionElementTransformer < value_type >	transformer_type
typedef std::pair < const_iterator, bool >	pair_type
typedef JKey_t	key_type
typedef JValue_t	mapped_type

Public Member Functions
	JGaussHermite (const int n, const double eps=1.0e-12)
	Constructor. More...
virtual void	clear () override
	Clear. More...
virtual const ordinate_type &	get (typename JClass< abscissa_type >::argument_type x) const override
	Get ordinate value. More...
virtual ordinate_type &	get (typename JClass< abscissa_type >::argument_type x) override
	Get ordinate value. More...
virtual const mapped_type &	get (typename JClass< key_type >::argument_type key) const =0
	Get mapped value. More...
virtual mapped_type &	get (typename JClass< key_type >::argument_type key)=0
	Get mapped value. More...
virtual int	getSize () const override
	Get number of elements. More...
virtual abscissa_type	getX (int index) const override
	Get abscissa value. More...
virtual abscissa_type	getXmin () const override
	Get minimal abscissa value. More...
virtual abscissa_type	getXmax () const override
	Get maximal abscissa value. More...
const ordinate_type &	getY (int index) const
	Get ordinate value. More...
ordinate_type &	getY (int index)
	Get ordinate value. More...
void	transform (const transformer_type &transformer)
	Transform collection. More...
void	sort ()
	Sort elements. More...
const_iterator	lower_bound (typename JClass< abscissa_type >::argument_type x) const
	Get first position of element i, where x >= i->getX(). More...
iterator	lower_bound (typename JClass< abscissa_type >::argument_type x)
	Get first position of element i, where x >= i->getX(). More...
pair_type	insert (const value_type &element)
	Insert element. More...
void	configure (const JAbstractCollection< abscissa_type > &bounds)
	Configure collection. More...
void	configure (const JAbstractCollection< abscissa_type > &bounds, typename JClass< ordinate_type >::argument_type value)
	Configure collection. More...
void	configure (const JAbstractCollection< abscissa_type > &bounds, const JFunction1D_t &function)
	Configure collection. More...
bool	is_compatible (const JCollection &collection) const
	Test whether collections are compatible. More...
JCollection &	negate ()
	Negate collection. More...
JCollection &	add (const JCollection &collection)
	Add collection. More...
JCollection &	add (typename JClass< ordinate_type >::argument_type value)
	Add offset. More...
JCollection &	add (const JFunction1D_t &function)
	Add function. More...
JCollection &	sub (const JCollection &collection)
	Subtract collection. More...
JCollection &	sub (typename JClass< ordinate_type >::argument_type value)
	Subtract offset. More...
JCollection &	sub (const JFunction1D_t &function)
	Subtract function. More...
JCollection &	mul (const double value)
	Scale contents. More...
JFirst_t &	mul (const JSecond_t &object)
	Multiply with object. More...
JCollection &	div (const double value)
	Scale contents. More...
const JComparator &	getComparator () const
	Get comparator. More...
const mapped_type &	operator[] (typename JClass< key_type >::argument_type key) const
	Get mapped value. More...
mapped_type &	operator[] (typename JClass< key_type >::argument_type key)
	Get mapped value. More...
void	put (typename JClass< key_type >::argument_type key, typename JClass< mapped_type >::argument_type value)
	Put pair-wise element (key,value) into collection. More...
bool	is_equal (const JAbstractCollection &collection) const
	Test whether abstract collections are equal. More...

Public Attributes
JDistance< typename JElement2D_t::abscissa_type >	getDistance
	Function object for distance evaluation. More...

Protected Member Functions
void	resize (typename container_type::size_type size)
	Resize collection. More...

Protected Attributes
JComparator	compare
	Function object for comparison. More...

Detailed Description

Numerical integrator for W(x) = e^-(x^2).

Gauss-Hermite integration code is taken from reference: Numerical Recipes in C++, W.H. Press, S.A. Teukolsky, W.T. Vetterling and B.P. Flannery, Cambridge University Press.

Definition at line 251 of file JQuadrature.hh.

Member Typedef Documentation

typedef JElement2D_t ::abscissa_type JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::abscissa_type

inherited

Definition at line 82 of file JCollection.hh.

typedef JElement2D_t ::ordinate_type JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::ordinate_type

inherited

Definition at line 83 of file JCollection.hh.

typedef JElement2D_t JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::value_type

inherited

Definition at line 84 of file JCollection.hh.

typedef JDistance<typename JElement2D_t ::abscissa_type> JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::distance_type

inherited

Definition at line 85 of file JCollection.hh.

typedef JCollection<JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> > JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::collection_type

inherited

Definition at line 87 of file JCollection.hh.

typedef std::vector<value_type> JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::container_type

inherited

Definition at line 89 of file JCollection.hh.

typedef container_type::const_iterator JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::const_iterator

inherited

Definition at line 91 of file JCollection.hh.

typedef container_type::const_reverse_iterator JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::const_reverse_iterator

inherited

Definition at line 92 of file JCollection.hh.

typedef container_type::iterator JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::iterator

inherited

Definition at line 93 of file JCollection.hh.

typedef container_type::reverse_iterator JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::reverse_iterator

inherited

Definition at line 94 of file JCollection.hh.

typedef JCollectionElementTransformer<value_type> JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::transformer_type

inherited

Definition at line 96 of file JCollection.hh.

typedef std::pair<const_iterator, bool> JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::pair_type

inherited

Definition at line 97 of file JCollection.hh.

template<class JKey_t, class JValue_t>

typedef JKey_t JTOOLS::JMappableCollection< JKey_t, JValue_t >::key_type

inherited

Definition at line 33 of file JMappableCollection.hh.

template<class JKey_t, class JValue_t>

typedef JValue_t JTOOLS::JMappableCollection< JKey_t, JValue_t >::mapped_type

inherited

Definition at line 34 of file JMappableCollection.hh.

Constructor & Destructor Documentation

JTOOLS::JGaussHermite::JGaussHermite ( const int  n, const double  eps = 1.0e-12  )

inline

Constructor.

Parameters

n	number of points
eps	precision

Definition at line 261 of file JQuadrature.hh.

                                              :
      JQuadrature()
    {
      resize(n);

      const double pii = 1.0 / pow(PI,0.25);

      const int number_of_iterations = 100;

      const int M = (n + 1) / 2;
      
      double p0, p1, p2, pp;
      double z = 0.0;
      double z1;
      
      for (int i = 0; i < M; ++i) {

        switch (i) {

        case 0:
          z  = sqrt((double) (2*n+1))  -  1.85575 * pow((double) (2*n+1),-0.16667);
          break;

        case 1:
          z -= 1.14 * pow((double) n,0.426) / z;
          break;

        case 2:
          z  = 1.86*z + 0.86*at( 0 ).getX();
          break;

        case 3:
          z  = 1.91*z + 0.91*at( 1 ).getX();
          break;

        default:
          z  = 2.00*z + 1.00*at(i-2).getX();
          break;
        }

        for (int k = 0; k != number_of_iterations; ++k) {
          
          p1 = 0.0;
          p2 = pii;
          
          // recurrence relation
          
          for (int j = 0; j < n; ++j) {
            p0 = p1;
            p1 = p2;
            p2 = z * sqrt(2.0/(double) (j+1)) * p1  -  sqrt((double) j / (double) (j+1)) * p0;
          }
          
          pp = sqrt((double) (2*n)) * p1;
          
          z1 = z;
          z  = z1 - p2/pp;

          if (fabs(z-z1) < eps)
            break;
        } 

        const double y = 2.0 / (pp*pp);

        at(  i  ) = JElement2D_t(-z,y);
        at(n-i-1) = JElement2D_t(+z,y);
      }
    }

Member Function Documentation

virtual void JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::clear ( )

inlineoverridevirtualinherited

Clear.

Implements JTOOLS::JMappableCollection< JKey_t, JValue_t >.

Definition at line 150 of file JCollection.hh.

    {
      container_type::clear();
    }

virtual const ordinate_type& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::get ( typename JClass< abscissa_type >::argument_type  x ) const

inlineoverridevirtualinherited

Get ordinate value.

Parameters

x	abscissa value

Returns

ordinate value

Definition at line 162 of file JCollection.hh.

    {
      const_iterator i = this->lower_bound(x);

      if (i == this->end() || this->getDistance(x, i->getX()) > distance_type::precision) {
        THROW(JValueOutOfRange, "Invalid abscissa value " << x);
      }

      return i->getY();
    }

virtual ordinate_type& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::get ( typename JClass< abscissa_type >::argument_type  x )

inlineoverridevirtualinherited

Get ordinate value.

Parameters

x	abscissa value

Returns

ordinate value

Definition at line 180 of file JCollection.hh.

    {
      iterator i = this->lower_bound(x);

      if (i == this->end() || this->getDistance(x, i->getX()) > distance_type::precision) {
        i = container_type::insert(i, value_type(x, ordinate_type()));
      }

      return i->getY();
    }

template<class JKey_t, class JValue_t>

virtual const mapped_type& JTOOLS::JMappableCollection< JKey_t, JValue_t >::get ( typename JClass< key_type >::argument_type  key ) const

pure virtualinherited

Get mapped value.

Parameters

key

key

Returns

value

Implemented in JTOOLS::JCollection< JElement_t, JDistance_t >, JTOOLS::JHashMap< JKey_t, JValue_t, JEvaluator_t >, JTOOLS::JHashMap< JHead_t, JValue_t, JEvaluator_t >, JTOOLS::JHashMap< int, JModuleAnalogueSignalProcessor >, JTOOLS::JHashMap< int, int >, JTOOLS::JHashMap< int, function_type >, JTOOLS::JHashMap< int, JGEOMETRY3D::JQuaternion3D >, JTOOLS::JHashMap< JEKey, JEmitter >, JTOOLS::JHashMap< JHead_t, JHashMap< JTail_t, JValue_t, JEvaluator_t >, JEvaluator_t >, JTOOLS::JHashMap< int, JString >, JTOOLS::JHashMap< JACOUSTICS::JEKey, JACOUSTICS::JMODEL::JEmitter >, JTOOLS::JHashMap< int, JFloor >, and JTOOLS::JGarbageCollection< JKey_t, JValue_t >.

template<class JKey_t, class JValue_t>

virtual mapped_type& JTOOLS::JMappableCollection< JKey_t, JValue_t >::get ( typename JClass< key_type >::argument_type  key )

pure virtualinherited

Get mapped value.

Parameters

key

key

Returns

value

Implemented in JTOOLS::JCollection< JElement_t, JDistance_t >, JTOOLS::JHashMap< JKey_t, JValue_t, JEvaluator_t >, JTOOLS::JHashMap< JHead_t, JValue_t, JEvaluator_t >, JTOOLS::JHashMap< int, JModuleAnalogueSignalProcessor >, JTOOLS::JHashMap< int, int >, JTOOLS::JHashMap< int, function_type >, JTOOLS::JHashMap< int, JGEOMETRY3D::JQuaternion3D >, JTOOLS::JHashMap< JEKey, JEmitter >, JTOOLS::JHashMap< JHead_t, JHashMap< JTail_t, JValue_t, JEvaluator_t >, JEvaluator_t >, JTOOLS::JHashMap< int, JString >, JTOOLS::JHashMap< JACOUSTICS::JEKey, JACOUSTICS::JMODEL::JEmitter >, JTOOLS::JHashMap< int, JFloor >, and JTOOLS::JGarbageCollection< JKey_t, JValue_t >.

virtual int JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::getSize ( ) const

inlineoverridevirtualinherited

Get number of elements.

Returns

number of elements

Implements JTOOLS::JAbstractCollection< JAbscissa_t >.

Definition at line 197 of file JCollection.hh.

    {
      return (int) this->size();
    }

virtual abscissa_type JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::getX ( int  index ) const

inlineoverridevirtualinherited

Get abscissa value.

Parameters

index

index

Returns

abscissa value

Implements JTOOLS::JAbstractCollection< JAbscissa_t >.

Definition at line 209 of file JCollection.hh.

    {
      return this->at(index).getX();
    }

virtual abscissa_type JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::getXmin ( ) const

inlineoverridevirtualinherited

Get minimal abscissa value.

Returns

abscissa value

Implements JTOOLS::JAbstractCollection< JAbscissa_t >.

Definition at line 220 of file JCollection.hh.

    {
      return this->begin()->getX();
    }

virtual abscissa_type JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::getXmax ( ) const

inlineoverridevirtualinherited

Get maximal abscissa value.

Returns

abscissa value

Implements JTOOLS::JAbstractCollection< JAbscissa_t >.

Definition at line 231 of file JCollection.hh.

    {
      return this->rbegin()->getX();
    }

const ordinate_type& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::getY ( int  index ) const

inlineinherited

Get ordinate value.

Parameters

index

index

Returns

ordinate value

Definition at line 244 of file JCollection.hh.

    {
      return this->at(index).getY();
    }

ordinate_type& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::getY ( int  index )

inlineinherited

Get ordinate value.

Parameters

index

index

Returns

ordinate value

Definition at line 256 of file JCollection.hh.

    {
      return this->at(index).getY();
    }

void JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::transform ( const transformer_type &  transformer )

inlineinherited

Transform collection.

Parameters

transformer

element transformer

Definition at line 267 of file JCollection.hh.

    {
      collection_type buffer;

      this->swap(buffer);

      for (const_iterator i = buffer.begin(); i != buffer.end(); ++i) {
        this->insert(transformer(*i));
      }
    }

void JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::sort ( )

inlineinherited

Sort elements.

Definition at line 282 of file JCollection.hh.

    {
      std::sort(this->begin(), this->end(), compare);
    }

const_iterator JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::lower_bound ( typename JClass< abscissa_type >::argument_type  x ) const

inlineinherited

Get first position of element i, where x >= i->getX().

Parameters

x	abscissa value

Returns

position of corresponding element

Definition at line 294 of file JCollection.hh.

    {
      return std::lower_bound(this->begin(), this->end(), x, compare);
    }

iterator JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::lower_bound ( typename JClass< abscissa_type >::argument_type  x )

inlineinherited

Get first position of element i, where x >= i->getX().

Parameters

x	abscissa value

Returns

position of corresponding element

Definition at line 306 of file JCollection.hh.

    {
      return std::lower_bound(this->begin(), this->end(), x, compare);
    }

pair_type JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::insert ( const value_type &  element )

inlineinherited

Insert element.

Parameters

element

element

Returns

(iterator, status), where status is true if inserted; else false

Definition at line 318 of file JCollection.hh.

    {
      iterator i = this->lower_bound(element.getX());

      if (i == this->end() || this->getDistance(element.getX(), i->getX()) > 0.0)
        return pair_type(container_type::insert(i, element), true);
      else
        return pair_type(this->end(), false);
    }

void JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::configure ( const JAbstractCollection< abscissa_type > &  bounds )

inlineinherited

Configure collection.

Parameters

bounds

abscissa values

Definition at line 334 of file JCollection.hh.

    {
      configure(bounds, JMATH::getZero<ordinate_type>());
    }

void JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::configure ( const JAbstractCollection< abscissa_type > &  bounds, typename JClass< ordinate_type >::argument_type  value  )

inlineinherited

Configure collection.

Parameters

bounds	abscissa values
value	ordinate value

Definition at line 346 of file JCollection.hh.

    {
      this->resize(bounds.getSize());

      for (iterator i = this->begin(); i != this->end(); ++i) {

        const abscissa_type x = bounds.getX(std::distance(this->begin(),i));

        *i = value_type(x,value);
      }
    }

void JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::configure ( const JAbstractCollection< abscissa_type > &  bounds, const JFunction1D_t &  function  )

inlineinherited

Configure collection.

Parameters

bounds	abscissa values
function	function

Definition at line 367 of file JCollection.hh.

    {
      using namespace JLANG;

      collection_type* out = (is_identical(*this, function) ? new collection_type() : this);

      for (int i = 0; i != bounds.getSize(); ++i) {

        const abscissa_type x = bounds.getX(i);

        out->put(x, function(x));
      }

      if (is_identical(*this, function)) {
        
        this->swap(*out);

        delete out;
      }
    }

bool JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::is_compatible ( const JCollection< JElement2D_t > &  collection ) const

inlineinherited

Test whether collections are compatible.

Parameters

collection

collection

Returns

true if collections are compatible; else false

Definition at line 396 of file JCollection.hh.

    {
      if (this->empty() || collection.empty()) {

        return true;

      } else {

        const double precision = JDistance<abscissa_type>::precision;
        
        const_iterator p = this->begin();
        const_iterator q = collection.begin();
        
        if        (getDistance(p->getX(), q->getX()) > precision) { 

          do { 
            ++p; 
          } while (p != this->end()      && getDistance(p->getX(), q->getX()) > precision); 

        } else if (getDistance(q->getX(), p->getX()) > precision) { 

          do { 
            ++q; 
          } while (q != collection.end() && getDistance(q->getX(), p->getX()) > precision); 
        }

        for ( ; p != this->end() && q != collection.end(); ++p, ++q) {
          if (fabs(getDistance(p->getX(), q->getX())) > precision) {
            return false;
          }
        }

        return true;
      }
    }

JCollection& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::negate ( )

inlineinherited

Negate collection.

Returns

this collection

Definition at line 438 of file JCollection.hh.

    {
      for (iterator i = this->begin(); i != this->end(); ++i) {
        i->getY() = -i->getY();
      }

      return *this;
    }

JCollection& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::add ( const JCollection< JElement2D_t > &  collection )

inlineinherited

Add collection.

Parameters

collection

collection

Returns

this collection

Definition at line 454 of file JCollection.hh.

    {
      if (!collection.empty()) {

        if (this->empty()) {

          for (const_iterator i = collection.begin(); i != collection.end(); ++i) {
            this->put(i->getX(), +i->getY());
          }

        } else if (this->is_compatible(collection)) {

          const double precision = JDistance<abscissa_type>::precision;

          iterator       p = this->begin();
          const_iterator q = collection.begin();

          if        (getDistance(p->getX(), q->getX()) > precision) { 

            do {
              ++p; 
            } while (p != this->end()      && getDistance(p->getX(), q->getX()) > precision); 

          } else if (getDistance(q->getX(), p->getX()) > precision) { 

            do { 
              ++q; 
            } while (q != collection.end() && getDistance(q->getX(), p->getX()) > precision); 
          }

          const_iterator i = q;

          for ( ; p != this->end() && i != collection.end(); ++p, ++i) {
            p->getY() += i->getY();
          }

          for ( ; i != collection.end(); ++i) {
            this->put(i->getX(), +i->getY());
          }

          for (i = collection.begin(); i != q; ++i) {
            this->put(i->getX(), +i->getY());
          }
        }
      }
      
      return *this;
    }

JCollection& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::add ( typename JClass< ordinate_type >::argument_type  value )

inlineinherited

Add offset.

Parameters

value

offset

Returns

this collection

Definition at line 602 of file JCollection.hh.

    {
      for (iterator i = this->begin(); i != this->end(); ++i) {
        i->getY() += value;
      }

      return *this;
    }

JCollection& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::add ( const JFunction1D_t &  function )

inlineinherited

Add function.

Parameters

function

function

Returns

this collection

Definition at line 635 of file JCollection.hh.

    {
      for (iterator i = this->begin(); i != this->end(); ++i) {
        i->getY() += function(i->getX());
      }

      return *this;
    }

JCollection& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::sub ( const JCollection< JElement2D_t > &  collection )

inlineinherited

Subtract collection.

Parameters

collection

collection

Returns

this collection

Definition at line 510 of file JCollection.hh.

    {
      if (!collection.empty()) {

        if (this->empty()) {

          for (const_iterator i = collection.begin(); i != collection.end(); ++i) {
            this->put(i->getX(), -i->getY());
          }

        } else if (this->is_compatible(collection)) {

          const double precision = JDistance<abscissa_type>::precision;

          iterator       p = this->begin();
          const_iterator q = collection.begin();

          if        (getDistance(p->getX(), q->getX()) > precision) { 

            do {
              ++p; 
            } while (p != this->end()      && getDistance(p->getX(), q->getX()) > precision); 

          } else if (getDistance(q->getX(), p->getX()) > precision) { 

            do { 
              ++q; 
            } while (q != collection.end() && getDistance(q->getX(), p->getX()) > precision); 
          }

          const_iterator i = q;

          for ( ; p != this->end() && i != collection.end(); ++p, ++i) {
            p->getY() -= i->getY();
          }

          for ( ; i != collection.end(); ++i) {
            this->put(i->getX(), -i->getY());
          }

          for (i = collection.begin(); i != q; ++i) {
            this->put(i->getX(), -i->getY());
          }

        } else {

          throw JException("JCollection::add() collections incompatible.");
        }
      }
      
      return *this;
    }

JCollection& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::sub ( typename JClass< ordinate_type >::argument_type  value )

inlineinherited

Subtract offset.

Parameters

value

offset

Returns

this collection

Definition at line 618 of file JCollection.hh.

    {
      for (iterator i = this->begin(); i != this->end(); ++i) {
        i->getY() -= value;
      }

      return *this;
    }

JCollection& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::sub ( const JFunction1D_t &  function )

inlineinherited

Subtract function.

Parameters

function

function

Returns

this collection

Definition at line 652 of file JCollection.hh.

    {
      for (iterator i = this->begin(); i != this->end(); ++i) {
        i->getY() -= function(i->getX());
      }

      return *this;
    }

JCollection& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::mul ( const double  value )

inlineinherited

Scale contents.

Parameters

value

multiplication factor

Returns

this collection

Definition at line 570 of file JCollection.hh.

    {
      for (iterator i = this->begin(); i != this->end(); ++i) {
        i->getY() *= value;
      }

      return *this;
    }

template<class JFirst_t, class JSecond_t = JNullType>

JFirst_t& JMATH::JMath< JFirst_t, JSecond_t >::mul ( const JSecond_t &  object )

inlineinherited

Multiply with object.

Parameters

object

object

Returns

result object

Definition at line 357 of file JMath.hh.

    {
      return static_cast<JFirst_t&>(*this) = JCalculator<JFirst_t>::calculator.mul(static_cast<const JFirst_t&>(*this), object);
    }

JCollection& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::div ( const double  value )

inlineinherited

Scale contents.

Parameters

value

division factor

Returns

this collection

Definition at line 586 of file JCollection.hh.

    {
      for (iterator i = this->begin(); i != this->end(); ++i) {
        i->getY() /= value;
      }

      return *this;
    }

const JComparator& JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::getComparator ( ) const

inlineinherited

Get comparator.

Returns

comparator

Definition at line 765 of file JCollection.hh.

    {
      return compare;
    }

void JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::resize ( typename container_type::size_type  size )

inlineprotectedinherited

Resize collection.

Parameters

size

size

Definition at line 789 of file JCollection.hh.

    {
      container_type::resize(size);
    }

template<class JKey_t, class JValue_t>

const mapped_type& JTOOLS::JMappableCollection< JKey_t, JValue_t >::operator[] ( typename JClass< key_type >::argument_type  key ) const

inlineinherited

Get mapped value.

Parameters

key

key

Returns

value

Definition at line 73 of file JMappableCollection.hh.

    {
      return get(key);
    }

template<class JKey_t, class JValue_t>

mapped_type& JTOOLS::JMappableCollection< JKey_t, JValue_t >::operator[] ( typename JClass< key_type >::argument_type  key )

inlineinherited

Get mapped value.

Parameters

key

key

Returns

value

Definition at line 85 of file JMappableCollection.hh.

    {
      return get(key);
    }

template<class JKey_t, class JValue_t>

void JTOOLS::JMappableCollection< JKey_t, JValue_t >::put ( typename JClass< key_type >::argument_type  key, typename JClass< mapped_type >::argument_type  value  )

inlineinherited

Put pair-wise element (key,value) into collection.

Parameters

key	key
value	value

Definition at line 97 of file JMappableCollection.hh.

    {
      get(key) = value;
    }

template<class JAbscissa_t>

bool JTOOLS::JAbstractCollection< JAbscissa_t >::is_equal ( const JAbstractCollection< JAbscissa_t > &  collection ) const

inlineinherited

Test whether abstract collections are equal.

Parameters

collection

abstract collection

Returns

true if collections are equals; else false

Definition at line 69 of file JAbstractCollection.hh.

    {
      if (this->getSize() == collection.getSize()) {

        for (int i = 0; i != this->getSize(); ++i) {

          if (this->getX(i) != collection.getX(i)) {
            return false;
          }
        }

        return true;
      }

      return false;
    }

Member Data Documentation

JDistance<typename JElement2D_t ::abscissa_type> JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::getDistance

inherited

Function object for distance evaluation.

Definition at line 774 of file JCollection.hh.

JComparator JTOOLS::JCollection< JElement2D_t , JDistance<typename JElement2D_t ::abscissa_type> >::compare

protectedinherited

Function object for comparison.

Definition at line 781 of file JCollection.hh.

---

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

• JQuadrature.hh