template class Taylor<class>

(Return to index)

A representation for a Taylor series in one variable,

whose coefficients are of type T. For some operations this class assumes that the type T has particular operations, like PoissonBracket. The class Taylor<T> is mainly meant for implementing a Lie generator with one parameter as a Taylor series in this parameter. This permits easy integration with respect to the parameter.

Type:	Instantiable
Include file:	./FixedAlgebra/Taylor.hh

Synopsis (including inherited members):

• Public members:
  • Taylor (int) ;
  • Taylor () ;
  • Taylor (const Taylor&) ;
  • ~Taylor () ;
  • const Taylor& operator= (const Taylor&) ;
  • inline T* begin () ;
  • inline const T* begin ()const ;
  • inline T* end () ;
  • inline const T* end ()const ;
  • T& operator[] (int) ;
  • const T& operator[] (int)const ;
  • Taylor operator- ()const ;
  • Taylor& operator*= (const T&) ;
  • Taylor& operator/= (const T&) ;
  • Taylor& operator+= (const Taylor&) ;
  • Taylor& operator-= (const Taylor&) ;
  • void clear () ;
  • Taylor integrate ()const ;
  • T sum ()const ;
  • inline int getOrder ()const ;

Documentation:

• Public members:

  Taylor (int) ;

  Construct a zero series of a given order.

  inline T* begin () ;

  Get pointer to beginning of series (zero-order term).
  Version for non-constant series.

  inline const T* begin ()const ;

  Get pointer to beginning of series (zero-order term).
  Version for constant series.

  void clear () ;

  Clear all coefficients.

  inline T* end () ;

  Get pointer to end of series (one beyond highest term).
  Version for non-constant series.

  inline const T* end ()const ;

  Get pointer to end of series (one beyond highest term).
  Version for constant series.

  inline int getOrder ()const ;

  Return order of this series.

  Taylor integrate ()const ;

  Integrate with respect to the variable.

  Taylor& operator*= (const T&) ;

  Multiply by scalar and assign.

  Taylor& operator+= (const Taylor&) ;

  Add series and assign.

  Taylor operator- ()const ;

  Change sign of series.

  Taylor& operator-= (const Taylor&) ;

  Subtract series and assign.

  Taylor& operator/= (const T&) ;

  Divide by scalar and assign.

  T& operator[] (int) ;

  Get coefficient.
  Return a reference to coefficient of order n. Result is undefined, if n is out of range.

  const T& operator[] (int)const ;

  Get coefficient.
  Return a reference to constant coefficient of order n. Result is undefined, if n is out of range.

  T sum ()const ;

  Return sum of series.