template class FLieGenerator<class,int>

(Return to index)

A representation for a homogeneous polynomial, used as a Lie generator.

The number of variables must be even, it is equal to 2*N, where N is a template parameter. The indices have the same range as the coefficients of the same order in a FTps<double,2*N> object.

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

Synopsis (including inherited members):

• Public members:
  • FLieGenerator (int) ;
  • FLieGenerator (const FTps<T,2*N>&,int) ;
  • FLieGenerator () ;
  • FLieGenerator (const FLieGenerator&) ;
  • ~FLieGenerator () ;
  • const FLieGenerator& operator= (const FLieGenerator&) ;
  • bool operator== (const FLieGenerator&)const ;
  • inline T* begin () ;
  • inline T* end () ;
  • inline const T* begin ()const ;
  • inline const T* end ()const ;
  • T& operator[] (int) ;
  • const T& operator[] (int)const ;
  • FLieGenerator operator- ()const ;
  • FLieGenerator& operator*= (const T&) ;
  • FLieGenerator& operator/= (const T&) ;
  • FLieGenerator& operator+= (const FLieGenerator&) ;
  • FLieGenerator& operator-= (const FLieGenerator&) ;
  • void clear () ;
  • bool isZero ()const ;
  • FLieGenerator scale (const FLieGenerator&)const ;
  • template <class> FLieGenerator<U,N> transform (const FMatrix<U,2*N,2*N>&)const ;
  • inline int getOrder ()const ;
  • inline int getBottomIndex ()const ;
  • inline int getTopIndex ()const ;

Documentation:

• Public members:

  FLieGenerator (int) ;

  Construct a zero generator of given order.

  FLieGenerator (const FTps<T,2*N>&,int) ;

  Construct a zero generator of given order by extraction
  from an FTps<T,2*N> object.

  inline T* begin () ;

  Get pointer to beginning of generator.
  Version for non-constant generator.

  inline const T* begin ()const ;

  Get pointer to beginning of generator.
  Version for constant generator.

  void clear () ;

  Clear all coefficients.

  inline T* end () ;

  Get pointer past end of generator.
  Version for non-constant generator.

  inline const T* end ()const ;

  Get pointer past end of generator.
  Version for constant generator.

  inline int getBottomIndex ()const ;

  Return bottom index of this generator.

  inline int getOrder ()const ;

  Return order of this generator.

  inline int getTopIndex ()const ;

  Return top index of this generator.

  bool isZero ()const ;

  Test for zero.

  FLieGenerator& operator*= (const T&) ;

  Multiply by scalar and assign.

  FLieGenerator& operator+= (const FLieGenerator&) ;

  Add vector and assign.

  FLieGenerator operator- ()const ;

  Change sign of generator.

  FLieGenerator& operator-= (const FLieGenerator&) ;

  Subtract vector and assign.

  FLieGenerator& operator/= (const T&) ;

  Divide by scalar and assign.

  T& operator[] (int) ;

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

  const T& operator[] (int)const ;

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

  FLieGenerator scale (const FLieGenerator&)const ;

  Scale monomial-wise.

  template <class> FLieGenerator<U,N> transform (const FMatrix<U,2*N,2*N>&)const ;

  Substitute matrix in Lie generator.
  The coefficients of the source generator have type T, the elements of the matrix have type U, and the result of multiplying a T by a U must return a U.