tensor_product_polynomials_const.cc

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//
// Copyright (C) 2012 - 2017 by the deal.II authors
//
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//
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// 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.
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#include <deal.II/base/exceptions.h>
#include <deal.II/base/table.h>
#include <deal.II/base/tensor_product_polynomials_const.h>

DEAL_II_NAMESPACE_OPEN



/* ------------------- TensorProductPolynomialsConst -------------- */


template <int dim>
double
TensorProductPolynomialsConst<dim>::compute_value(const unsigned int i,
                                                  const Point<dim> & p) const
{
  const unsigned int max_indices = this->n_tensor_pols;
  Assert(i <= max_indices, ExcInternalError());

  // treat the regular basis functions
  if (i < max_indices)
    return this->TensorProductPolynomials<dim>::compute_value(i, p);
  else
    // this is for the constant function
    return 1.;
}



template <>
double
TensorProductPolynomialsConst<0>::compute_value(const unsigned int,
                                                const Point<0> &) const
{
  Assert(false, ExcNotImplemented());
  return 0.;
}


template <int dim>
Tensor<1, dim>
TensorProductPolynomialsConst<dim>::compute_grad(const unsigned int i,
                                                 const Point<dim> & p) const
{
  const unsigned int max_indices = this->n_tensor_pols;
  Assert(i <= max_indices, ExcInternalError());

  // treat the regular basis functions
  if (i < max_indices)
    return this->TensorProductPolynomials<dim>::compute_grad(i, p);
  else
    // this is for the constant function
    return Tensor<1, dim>();
}

template <int dim>
Tensor<2, dim>
TensorProductPolynomialsConst<dim>::compute_grad_grad(const unsigned int i,
                                                      const Point<dim> &p) const
{
  const unsigned int max_indices = this->n_tensor_pols;
  Assert(i <= max_indices, ExcInternalError());

  // treat the regular basis functions
  if (i < max_indices)
    return this->TensorProductPolynomials<dim>::compute_grad_grad(i, p);
  else
    // this is for the constant function
    return Tensor<2, dim>();
}

template <int dim>
void
TensorProductPolynomialsConst<dim>::compute(
  const Point<dim> &           p,
  std::vector<double> &        values,
  std::vector<Tensor<1, dim>> &grads,
  std::vector<Tensor<2, dim>> &grad_grads,
  std::vector<Tensor<3, dim>> &third_derivatives,
  std::vector<Tensor<4, dim>> &fourth_derivatives) const
{
  Assert(values.size() == this->n_tensor_pols + 1 || values.size() == 0,
         ExcDimensionMismatch2(values.size(), this->n_tensor_pols + 1, 0));
  Assert(grads.size() == this->n_tensor_pols + 1 || grads.size() == 0,
         ExcDimensionMismatch2(grads.size(), this->n_tensor_pols + 1, 0));
  Assert(grad_grads.size() == this->n_tensor_pols + 1 || grad_grads.size() == 0,
         ExcDimensionMismatch2(grad_grads.size(), this->n_tensor_pols + 1, 0));
  Assert(third_derivatives.size() == this->n_tensor_pols + 1 ||
           third_derivatives.size() == 0,
         ExcDimensionMismatch2(third_derivatives.size(),
                               this->n_tensor_pols + 1,
                               0));
  Assert(fourth_derivatives.size() == this->n_tensor_pols + 1 ||
           fourth_derivatives.size() == 0,
         ExcDimensionMismatch2(fourth_derivatives.size(),
                               this->n_tensor_pols + 1,
                               0));

  // remove slot for const value, go into the base class compute method and
  // finally append the const value again
  bool do_values = false, do_grads = false, do_grad_grads = false;
  bool do_3rd_derivatives = false, do_4th_derivatives = false;
  if (values.empty() == false)
    {
      values.pop_back();
      do_values = true;
    }
  if (grads.empty() == false)
    {
      grads.pop_back();
      do_grads = true;
    }
  if (grad_grads.empty() == false)
    {
      grad_grads.pop_back();
      do_grad_grads = true;
    }
  if (third_derivatives.empty() == false)
    {
      third_derivatives.resize(this->n_tensor_pols);
      do_3rd_derivatives = true;
    }
  if (fourth_derivatives.empty() == false)
    {
      fourth_derivatives.resize(this->n_tensor_pols);
      do_4th_derivatives = true;
    }

  this->TensorProductPolynomials<dim>::compute(
    p, values, grads, grad_grads, third_derivatives, fourth_derivatives);

  // for dgq node: values =1, grads=0, grads_grads=0, third_derivatives=0,
  // fourth_derivatives=0
  if (do_values)
    values.push_back(1.);
  if (do_grads)
    grads.emplace_back();
  if (do_grad_grads)
    grad_grads.emplace_back();
  if (do_3rd_derivatives)
    third_derivatives.emplace_back();
  if (do_4th_derivatives)
    fourth_derivatives.emplace_back();
}


/* ------------------- explicit instantiations -------------- */
template class TensorProductPolynomialsConst<1>;
template class TensorProductPolynomialsConst<2>;
template class TensorProductPolynomialsConst<3>;

DEAL_II_NAMESPACE_CLOSE