/usr/include/deal.II/base/tensor_product_polynomials_const.h is in libdeal.ii-dev 8.1.0-4.
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// $Id: tensor_product_polynomials_const.h 31527 2013-11-03 09:58:45Z maier $
//
// Copyright (C) 2012 - 2013 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef __deal2__tensor_product_polynomials_const_h
#define __deal2__tensor_product_polynomials_const_h
#include <deal.II/base/config.h>
#include <deal.II/base/exceptions.h>
#include <deal.II/base/tensor.h>
#include <deal.II/base/point.h>
#include <deal.II/base/polynomial.h>
#include <deal.II/base/tensor_product_polynomials.h>
#include <deal.II/base/utilities.h>
#include <vector>
DEAL_II_NAMESPACE_OPEN
/**
* @addtogroup Polynomials
* @{
*/
/**
* Tensor product of given polynomials and a locally constant function. This
* class inherits most of its functionality from TensorProductPolynomials. It
* works similarly to that class but adds a constant function for the last
* index.
*
* @author Timo Heister, 2012
*/
template <int dim>
class TensorProductPolynomialsConst : public TensorProductPolynomials<dim>
{
public:
/**
* Access to the dimension of
* this object, for checking and
* automatic setting of dimension
* in other classes.
*/
static const unsigned int dimension = dim;
/**
* Constructor. <tt>pols</tt> is a vector of objects that should be derived
* or otherwise convertible to one-dimensional polynomial objects. It will
* be copied element by element into a private variable.
*/
template <class Pol>
TensorProductPolynomialsConst (const std::vector<Pol> &pols);
/**
* Computes the value and the first and second derivatives of each tensor
* product polynomial at <tt>unit_point</tt>.
*
* The size of the vectors must either be equal 0 or equal n(). In the first
* case, the function will not compute these values.
*
* If you need values or derivatives of all tensor product polynomials then
* use this function, rather than using any of the compute_value(),
* compute_grad() or compute_grad_grad() functions, see below, in a loop
* over all tensor product polynomials.
*/
void compute (const Point<dim> &unit_point,
std::vector<double> &values,
std::vector<Tensor<1,dim> > &grads,
std::vector<Tensor<2,dim> > &grad_grads) const;
/**
* Computes the value of the <tt>i</tt>th tensor product polynomial at
* <tt>unit_point</tt>. Here <tt>i</tt> is given in tensor product
* numbering.
*
* Note, that using this function within a loop over all tensor product
* polynomials is not efficient, because then each point value of the
* underlying (one-dimensional) polynomials is (unnecessarily) computed
* several times. Instead use the compute() function with
* <tt>values.size()==</tt>n() to get the point values of all tensor
* polynomials all at once and in a much more efficient way.
*/
double compute_value (const unsigned int i,
const Point<dim> &p) const;
/**
* Computes the grad of the <tt>i</tt>th tensor product polynomial at
* <tt>unit_point</tt>. Here <tt>i</tt> is given in tensor product
* numbering.
*
* Note, that using this function within a loop over all tensor product
* polynomials is not efficient, because then each derivative value of the
* underlying (one-dimensional) polynomials is (unnecessarily) computed
* several times. Instead use the compute() function, see above, with
* <tt>grads.size()==</tt>n() to get the point value of all tensor
* polynomials all at once and in a much more efficient way.
*/
Tensor<1,dim> compute_grad (const unsigned int i,
const Point<dim> &p) const;
/**
* Computes the second derivative (grad_grad) of the <tt>i</tt>th tensor
* product polynomial at <tt>unit_point</tt>. Here <tt>i</tt> is given in
* tensor product numbering.
*
* Note, that using this function within a loop over all tensor product
* polynomials is not efficient, because then each derivative value of the
* underlying (one-dimensional) polynomials is (unnecessarily) computed
* several times. Instead use the compute() function, see above, with
* <tt>grad_grads.size()==</tt>n() to get the point value of all tensor
* polynomials all at once and in a much more efficient way.
*/
Tensor<2,dim> compute_grad_grad (const unsigned int i,
const Point<dim> &p) const;
/**
* Returns the number of tensor product polynomials plus the constant
* function. For <i>n</i> 1d polynomials this is <i>n<sup>dim</sup>+1</i>.
*/
unsigned int n () const;
};
/** @} */
/* ---------------- template and inline functions ---------- */
#ifndef DOXYGEN
template <int dim>
template <class Pol>
inline
TensorProductPolynomialsConst<dim>::
TensorProductPolynomialsConst(const std::vector<Pol> &pols)
:
TensorProductPolynomials<dim>(pols)
{
// append index for renumbering
this->index_map.push_back(this->n_tensor_pols);
this->index_map_inverse.push_back(this->n_tensor_pols);
}
template <int dim>
inline
unsigned int
TensorProductPolynomialsConst<dim>::n() const
{
return this->n_tensor_pols+1;
}
template <>
inline
unsigned int
TensorProductPolynomialsConst<0>::n() const
{
return numbers::invalid_unsigned_int;
}
#endif // DOXYGEN
DEAL_II_NAMESPACE_CLOSE
#endif
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