template class LinearMap<class,int>

(Return to index)

Linear map with values of type T in N variables.

The copy constructor, destructor, and assignment operator generated by the compiler do the correct thing, and are not defined for speed.

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

Synopsis (including inherited members):

• Public members:
  • LinearMap () ;
  • LinearMap (const FVps<T,N>&) ;
  • LinearMap (const FMatrix<T,N,N>&) ;
  • LinearMap (const FVector<T,N>&) ;
  • const LinearFun<T,N>& getComponent (int)const ;
  • void setComponent (int,const LinearFun<T,N>&) ;
  • LinearFun<T,N>& operator[] (int) ;
  • const LinearFun<T,N>& operator[] (int)const ;
  • LinearMap operator+ ()const ;
  • LinearMap operator- ()const ;
  • LinearMap& operator*= (const LinearFun<T,N>&) ;
  • LinearMap& operator/= (const LinearFun<T,N>&) ;
  • LinearMap& operator*= (const T&) ;
  • LinearMap& operator/= (const T&) ;
  • LinearMap& operator+= (const LinearMap&) ;
  • LinearMap& operator-= (const LinearMap&) ;
  • LinearMap& operator+= (const FVector<T,N>&) ;
  • LinearMap& operator-= (const FVector<T,N>&) ;
  • std::istream& get (std::istream&) ;
  • std::ostream& put (std::ostream&)const ;
  • LinearMap inverse ()const ;
  • void identity () ;
  • FVector<T,N> constantTerm (const FVector<T,N>&)const ;
  • FVector<T,N> constantTerm ()const ;
  • FMatrix<T,N,N> linearTerms ()const ;
  • LinearMap substitute (const FMatrix<T,N,N>&)const ;
  • LinearMap substitute (const LinearMap&)const ;
  • LinearMap substituteInto (const FMatrix<T,N,N>&)const ;
• Protected Members:
  • LinearFun<T,N> data ;

Documentation:

• Public members:

  LinearMap () ;

  Default constructor.
  Construct identity map.

  LinearMap (const FVps<T,N>&) ;

  Convert from general map.

  LinearMap (const FMatrix<T,N,N>&) ;

  Convert from matrix.
  The constant part is set to zero. The linear part is filled from M.

  LinearMap (const FVector<T,N>&) ;

  Convert from vector.
  The constant part is filled from V. The linear part is set to the identity.

  FVector<T,N> constantTerm (const FVector<T,N>&)const ;

  Evaluate map at point P.

  FVector<T,N> constantTerm ()const ;

  Evaluate map at origin.
  / This is equivalent to extracting constant part.

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

  Get a LinearMap from stream is.

  const LinearFun<T,N>& getComponent (int)const ;

  Get component.
  Return value of component n. Throw RangeError, if n is out of range.

  void identity () ;

  Set to identity.

  LinearMap inverse ()const ;

  Inverse.

  FMatrix<T,N,N> linearTerms ()const ;

  Extract linear terms at origin.
  This is equivalent to extracting linear part.

  LinearMap& operator*= (const LinearFun<T,N>&) ;

  Multiply and assign.

  LinearMap& operator*= (const T&) ;

  Multiply and assign.

  LinearMap operator+ ()const ;

  Unary plus.

  LinearMap& operator+= (const LinearMap&) ;

  Add.

  LinearMap& operator+= (const FVector<T,N>&) ;

  Add and assign.

  LinearMap operator- ()const ;

  Unary minus.

  LinearMap& operator-= (const LinearMap&) ;

  Subtract.

  LinearMap& operator-= (const FVector<T,N>&) ;

  Subtract and assign.

  LinearMap& operator/= (const LinearFun<T,N>&) ;

  Divide and assign.
  Throw DivideError if constant part of rhs is zero.

  LinearMap& operator/= (const T&) ;

  Divide and assign.
  Throw DivideError if rhs is zero.

  LinearFun<T,N>& operator[] (int) ;

  Get component.
  Return reference to component n. Result is undefined, if index is out of range.

  const LinearFun<T,N>& operator[] (int)const ;

  Get Component.
  Return constant reference to component n. Result is undefined, if index is out of range.

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

  Put a LinearMap to stream os.

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

  Set component.
  Assign value of component n. Throw RangeError, if n is out of range.

  LinearMap substitute (const FMatrix<T,N,N>&)const ;

  Substitute matrix into map.

  LinearMap substitute (const LinearMap&)const ;

  Substitute map into map.

  LinearMap substituteInto (const FMatrix<T,N,N>&)const ;

  Substitute map into matrix.

• Protected members: