template class Vps<class>

(Return to index)

Vector truncated power series.

A vector of truncated power series with coefficients of type T in n variables. This class serves as the base class for maps.

Type:	Instantiable
Include file:	./Algebra/Vps.hh

Inheritance

Synopsis (including inherited members):

• Public members:
  • Vps (int,int) ;
  • Vps (const Matrix<T>&) ;
  • Vps (const Vector<T>&) ;
  • Vps () ;
  • Vps (const Vps<T>&) ;
  • ~Vps () ;
  • Vps<T>& operator= (const Vps<T>&) ;
  • const Tps<T>& getComponent (int)const ;
  • void setComponent (int,const Tps<T>&) ;
  • Tps<T>& operator[] (int) ;
  • const Tps<T>& operator[] (int)const ;
  • void check ()const ;
  • Vps<T> operator+ ()const ;
  • Vps<T> operator- ()const ;
  • Vps<T>& operator*= (const Tps<T>&) ;
  • Vps<T>& operator/= (const Tps<T>&) ;
  • Vps<T>& operator*= (const T&) ;
  • Vps<T>& operator/= (const T&) ;
  • Vps<T>& operator+= (const Vps<T>&) ;
  • Vps<T>& operator-= (const Vps<T>&) ;
  • Vps<T>& operator+= (const Vector<T>&) ;
  • Vps<T>& operator-= (const Vector<T>&) ;
  • std::istream& get (std::istream&) ;
  • std::ostream& put (std::ostream&)const ;
  • int getDimension ()const ;
  • int getTopOrder ()const ;
  • int getTruncOrder ()const ;
  • int getVariables ()const ;
  • Vps<T> filter (int,int)const ;
  • Vps<T> truncate (int) ;
• Protected Members:
  • Array1D<Tps<T> > data ;
  • mutable int variables ;

Documentation:

• Public members:

  Vps (int,int) ;

  Constructor.
  Construct nDim series in nVar variables each.

  Vps (const Matrix<T>&) ;

  Convert.
  The constant part is zero. The linear part is set to the contents of M.

  Vps (const Vector<T>&) ;

  Convert from vector.
  The constant part is set to the contents of V. The linear part is zero.

  void check ()const ;

  Check consistency.

  Vps<T> filter (int,int)const ;

  Extract range of orders, set others to zero.

  std::istream& get (std::istream&) ;

  Get a Vps<T> from stream is.

  const Tps<T>& getComponent (int)const ;

  Get component.
  Return the component index. Throw RangeError, if index is out of range.

  int getDimension ()const ;

  Get dimension (number of Tps<T> components).

  int getTopOrder ()const ;

  Get highest order contained in any component.

  int getTruncOrder ()const ;

  Get lowest truncation order in any component.

  int getVariables ()const ;

  Get number of variables (the same in all components).

  Vps<T>& operator*= (const Tps<T>&) ;

  Multiply by Tps<T> and assign.

  Vps<T>& operator*= (const T&) ;

  Multiply by constant and assign.

  Vps<T> operator+ ()const ;

  Unary plus.

  Vps<T>& operator+= (const Vps<T>&) ;

  Addition.

  Vps<T>& operator+= (const Vector<T>&) ;

  Add and assign.

  Vps<T> operator- ()const ;

  Unary minus.

  Vps<T>& operator-= (const Vps<T>&) ;

  Subtraction.

  Vps<T>& operator-= (const Vector<T>&) ;

  Subtract and assign.

  Vps<T>& operator/= (const Tps<T>&) ;

  Divide by Tps<T> and assign.
  Throw DivideError if constant part of y is zero.

  Vps<T>& operator/= (const T&) ;

  Divide by constant and assign.
  Throw DivideError if y is zero.

  Tps<T>& operator[] (int) ;

  Get component.
  Return the component index. Result is undefined, if index is out of range.

  const Tps<T>& operator[] (int)const ;

  Set component.
  Set the component index. Result is undefined, if index is out of range.

  std::ostream& put (std::ostream&)const ;

  Put a Vps<T> to stream os.

  void setComponent (int,const Tps<T>&) ;

  Set component.
  Set the component index. Throw RangeError, if index is out of range.

  Vps<T> truncate (int) ;

  Truncate, may also increase truncation order.

• Protected members: