libMesh::DenseSubVector< T > Class Template Reference

Defines a dense subvector for use in finite element computations. More...

#include <dense_subvector.h>

Inheritance diagram for libMesh::DenseSubVector< T >:

Public Member Functions
	DenseSubVector (DenseVector< T > &new_parent, const unsigned int ioff=0, const unsigned int n=0)
	Constructor. More...
	DenseSubVector (DenseSubVector &&)=default
	The 5 special functions can be defaulted for this class, as it does not manage any memory itself. More...
	DenseSubVector (const DenseSubVector &)=default
DenseSubVector &	operator= (const DenseSubVector &)=default
DenseSubVector &	operator= (DenseSubVector &&)=default
virtual	~DenseSubVector ()=default
DenseVector< T > &	parent ()
virtual void	zero () override
	Set every element in the vector to 0. More...
const T &	operator() (const unsigned int i) const
T &	operator() (const unsigned int i)
virtual T	el (const unsigned int i) const override
virtual T &	el (const unsigned int i) override
virtual unsigned int	size () const override
virtual bool	empty () const override
unsigned int	i_off () const
void	reposition (const unsigned int ioff, const unsigned int n)
	Changes the location of the subvector in the parent vector. More...
Real	min () const
Real	max () const
Real	l1_norm () const
Real	l2_norm () const
Real	linfty_norm () const
void	print (std::ostream &os) const
	Pretty-print the vector to stdout. More...
void	print_scientific (std::ostream &os, unsigned precision=8) const
	Prints the entries of the vector with additional decimal places in scientific notation. More...

Private Attributes
DenseVector< T > &	_parent_vector
	The parent vector that contains this subvector. More...
unsigned int	_n
	The length of this subvector. More...
unsigned int	_i_off
	The offset into the parent vector. More...

Detailed Description

template<typename T>
class libMesh::DenseSubVector< T >

Defines a dense subvector for use in finite element computations.

Useful for storing element load vectors before summation into a global vector, particularly when you have systems of equations. All overridden virtual functions are documented in dense_vector_base.h.

Author

Benjamin S. Kirk

Date

2003

Definition at line 43 of file dense_subvector.h.

Constructor & Destructor Documentation

DenseSubVector() [1/3]

template<typename T>

libMesh::DenseSubVector< T >::DenseSubVector ( DenseVector< T > &  new_parent, const unsigned int  ioff = 0, const unsigned int  n = 0  )

inline

Constructor.

Creates a dense subvector of the vector parent. The subvector has dimensions \((m \times n)\), and the \((0,0)\) entry of the subvector is located at the \((ioff,joff)\) location in the parent vector.

Definition at line 162 of file dense_subvector.h.

                                                        :
  _parent_vector(new_parent)
{
  reposition (ioff, n);
}

DenseSubVector() [2/3]

template<typename T>

libMesh::DenseSubVector< T >::DenseSubVector ( DenseSubVector< T > &&  )

default

The 5 special functions can be defaulted for this class, as it does not manage any memory itself.

DenseSubVector() [3/3]

template<typename T>

libMesh::DenseSubVector< T >::DenseSubVector ( const DenseSubVector< T > &  )

default

~DenseSubVector()

template<typename T>

virtual libMesh::DenseSubVector< T >::~DenseSubVector ( )

virtualdefault

Member Function Documentation

el() [1/2]

template<typename T>

virtual T libMesh::DenseSubVector< T >::el ( const unsigned int  i ) const

inlineoverridevirtual

Returns

The (i) element of the vector.

Implements libMesh::DenseVectorBase< T >.

Definition at line 84 of file dense_subvector.h.

  { return (*this)(i); }

el() [2/2]

template<typename T>

virtual T& libMesh::DenseSubVector< T >::el ( const unsigned int  i )

inlineoverridevirtual

Returns

The (i) element of the vector as a writable reference.

Implements libMesh::DenseVectorBase< T >.

Definition at line 87 of file dense_subvector.h.

  { return (*this)(i); }

empty()

template<typename T>

virtual bool libMesh::DenseSubVector< T >::empty ( ) const

inlineoverridevirtual

Returns

true iff size() is 0.

Reimplemented from libMesh::DenseVectorBase< T >.

Definition at line 93 of file dense_subvector.h.

  { return (_n == 0); }

Referenced by libMesh::NumericVector< Number >::insert().

i_off()

template<typename T>

unsigned int libMesh::DenseSubVector< T >::i_off ( ) const

inline

Returns

The row offset into the parent vector.

Definition at line 99 of file dense_subvector.h.

{ return _i_off; }

l1_norm()

template<typename T >

Real libMesh::DenseSubVector< T >::l1_norm ( ) const

inline

Returns

The \(l_1\)-norm of the vector, i.e. the sum of the absolute values of the entries.

Definition at line 253 of file dense_subvector.h.

{
  Real my_norm = 0.;
  for (auto i : index_range(*this))
    {
      my_norm += std::abs(_parent_vector (i + this->i_off()));
    }
  return my_norm;
}

l2_norm()

template<typename T >

Real libMesh::DenseSubVector< T >::l2_norm ( ) const

inline

Returns

The \(l_2\)-norm of the vector, i.e. the square root of the sum of the squares of the entries.

Definition at line 267 of file dense_subvector.h.

{
  Real my_norm = 0.;
  for (auto i : index_range(*this))
    {
      my_norm += TensorTools::norm_sq(_parent_vector (i + this->i_off()));
    }
  return sqrt(my_norm);
}

linfty_norm()

template<typename T >

Real libMesh::DenseSubVector< T >::linfty_norm ( ) const

inline

Returns

The \(l_\infty\)-norm of the vector, i.e. the maximum absolute value of the entries.

Definition at line 281 of file dense_subvector.h.

{
  if (!this->size())
    return 0.;
  Real my_norm = TensorTools::norm_sq(_parent_vector (this->i_off()));
 
  for (auto i : IntRange<unsigned int>(1, this->size()))
    {
      Real current = TensorTools::norm_sq(_parent_vector (i + this->i_off()));
      my_norm = (my_norm > current? my_norm : current);
    }
  return sqrt(my_norm);
}

max()

template<typename T >

Real libMesh::DenseSubVector< T >::max ( ) const

inline

Returns

The maximum element in the vector, or the maximum real part in the case of complex numbers.

Definition at line 236 of file dense_subvector.h.

{
  libmesh_assert (this->size());
  Real my_max = libmesh_real(_parent_vector (this->i_off()));
 
  for (auto i : IntRange<unsigned int>(1, this->size()))
    {
      Real current = libmesh_real(_parent_vector (i + this->i_off()));
      my_max = (my_max > current? my_max : current);
    }
  return my_max;
}

min()

template<typename T >

Real libMesh::DenseSubVector< T >::min ( ) const

inline

Returns

The minimum element in the vector, or the minimum real part in the case of complex numbers.

Definition at line 219 of file dense_subvector.h.

{
  libmesh_assert (this->size());
  Real my_min = libmesh_real(_parent_vector (this->i_off()));
 
  for (auto i : IntRange<unsigned int>(1, this->size()))
    {
      Real current = libmesh_real(_parent_vector (i + this->i_off()));
      my_min = (my_min < current? my_min : current);
    }
  return my_min;
}

operator()() [1/2]

template<typename T >

T & libMesh::DenseSubVector< T >::operator() ( const unsigned int  i )

inline

Returns

The (i,j) element of the subvector as a writable reference.

Definition at line 209 of file dense_subvector.h.

{
  libmesh_assert_less (i, this->size());
  libmesh_assert_less (i + this->i_off(), _parent_vector.size());
 
  return _parent_vector (i + this->i_off());
}

operator()() [2/2]

template<typename T >

const T & libMesh::DenseSubVector< T >::operator() ( const unsigned int  i ) const

inline

Returns

The (i,j) element of the subvector as a const reference.

Definition at line 198 of file dense_subvector.h.

{
  libmesh_assert_less (i, this->size());
  libmesh_assert_less (i + this->i_off(), _parent_vector.size());
 
  return _parent_vector (i + this->i_off());
}

operator=() [1/2]

template<typename T>

DenseSubVector& libMesh::DenseSubVector< T >::operator= ( const DenseSubVector< T > &  )

default

operator=() [2/2]

template<typename T>

DenseSubVector& libMesh::DenseSubVector< T >::operator= ( DenseSubVector< T > &&  )

default

parent()

template<typename T>

DenseVector<T>& libMesh::DenseSubVector< T >::parent ( )

inline

Returns

A reference to the parent vector.

Definition at line 69 of file dense_subvector.h.

{ return _parent_vector; }

Referenced by libMesh::DenseSubMatrix< T >::condense().

print()

template<typename T >

void libMesh::DenseVectorBase< T >::print ( std::ostream &  os ) const

inherited

Pretty-print the vector to stdout.

Definition at line 51 of file dense_vector_base.C.

{
  for (auto i : IntRange<int>(0, this->size()))
    os << std::setw(8)
       << this->el(i)
       << std::endl;
}

print_scientific()

template<typename T >

void libMesh::DenseVectorBase< T >::print_scientific ( std::ostream &  os, unsigned  precision = 8  ) const

inherited

Prints the entries of the vector with additional decimal places in scientific notation.

Definition at line 31 of file dense_vector_base.C.

{
  // save the initial format flags
  std::ios_base::fmtflags os_flags = os.flags();
 
  // Print the vector entries.
  for (auto i : IntRange<int>(0, this->size()))
    os << std::setw(10)
       << std::scientific
       << std::setprecision(precision)
       << this->el(i)
       << std::endl;
 
  // reset the original format flags
  os.flags(os_flags);
}

reposition()

template<typename T >

void libMesh::DenseSubVector< T >::reposition ( const unsigned int  ioff, const unsigned int  n  )

inline

Changes the location of the subvector in the parent vector.

Definition at line 174 of file dense_subvector.h.

{
  _i_off = ioff;
  _n = n;
 
  // Make sure we still fit in the parent vector.
  libmesh_assert_less_equal ((this->i_off() + this->size()), _parent_vector.size());
}

Referenced by assemble_elasticity(), assemble_laplace(), assemble_shell(), and assemble_stokes().

size()

template<typename T>

virtual unsigned int libMesh::DenseSubVector< T >::size ( ) const

inlineoverridevirtual

Returns

The size of the vector.

Implements libMesh::DenseVectorBase< T >.

Definition at line 90 of file dense_subvector.h.

  { return _n; }

Referenced by libMesh::index_range(), and libMesh::NumericVector< Number >::insert().

zero()

template<typename T >

void libMesh::DenseSubVector< T >::zero ( )

inlineoverridevirtual

Set every element in the vector to 0.

Needs to be pure virtual since the storage method may be different in derived classes.

Implements libMesh::DenseVectorBase< T >.

Definition at line 188 of file dense_subvector.h.

{
  for (auto i : index_range(*this))
    _parent_vector (i + this->i_off()) = 0.;
}

Member Data Documentation

_i_off

template<typename T>

unsigned int libMesh::DenseSubVector< T >::_i_off

private

The offset into the parent vector.

Definition at line 153 of file dense_subvector.h.

Referenced by libMesh::DenseSubVector< Number >::i_off().

_n

template<typename T>

unsigned int libMesh::DenseSubVector< T >::_n

private

The length of this subvector.

Definition at line 148 of file dense_subvector.h.

Referenced by libMesh::DenseSubVector< Number >::empty(), and libMesh::DenseSubVector< Number >::size().

_parent_vector

template<typename T>

DenseVector<T>& libMesh::DenseSubVector< T >::_parent_vector

private

The parent vector that contains this subvector.

Definition at line 143 of file dense_subvector.h.

Referenced by libMesh::DenseSubVector< Number >::parent().

---

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

• include/numerics/dense_subvector.h