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// ---------------------------------------------------------------------
//
// Copyright (C) 2001 - 2017 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.
//
// ---------------------------------------------------------------------
#include <deal.II/base/tensor.h>
#include <deal.II/base/point.h>
#include <deal.II/base/function_lib.h>
#include <deal.II/lac/vector.h>
#include <cmath>
DEAL_II_NAMESPACE_OPEN
namespace Functions
{
template <int dim>
CutOffFunctionBase<dim>::CutOffFunctionBase (const double r,
const Point<dim> p,
const unsigned int n_components,
const unsigned int select)
:
Function<dim> (n_components),
center(p),
radius(r),
selected(select)
{}
template <int dim>
void
CutOffFunctionBase<dim>::new_center (const Point<dim> &p)
{
center = p;
}
template <int dim>
void
CutOffFunctionBase<dim>::new_radius (const double r)
{
radius = r;
}
//////////////////////////////////////////////////////////////////////
template <int dim>
CutOffFunctionLinfty<dim>::CutOffFunctionLinfty (const double r,
const Point<dim> p,
const unsigned int n_components,
const unsigned int select)
:
CutOffFunctionBase<dim> (r, p, n_components, select)
{}
template <int dim>
double
CutOffFunctionLinfty<dim>::value (const Point<dim> &p,
const unsigned int component) const
{
if (this->selected==CutOffFunctionBase<dim>::no_component
||
component==this->selected)
return ((this->center.distance(p)<this->radius) ? 1. : 0.);
return 0.;
}
template <int dim>
void
CutOffFunctionLinfty<dim>::value_list (const std::vector<Point<dim> > &points,
std::vector<double> &values,
const unsigned int component) const
{
Assert (values.size() == points.size(),
ExcDimensionMismatch(values.size(), points.size()));
Assert (component < this->n_components,
ExcIndexRange(component,0,this->n_components));
if (this->selected==CutOffFunctionBase<dim>::no_component
||
component==this->selected)
for (unsigned int k=0; k<values.size(); ++k)
values[k] = (this->center.distance(points[k])<this->radius) ? 1. : 0.;
else
std::fill (values.begin(), values.end(), 0.);
}
template <int dim>
void
CutOffFunctionLinfty<dim>::vector_value_list (
const std::vector<Point<dim> > &points,
std::vector<Vector<double> > &values) const
{
Assert (values.size() == points.size(),
ExcDimensionMismatch(values.size(), points.size()));
for (unsigned int k=0; k<values.size(); ++k)
{
const double
val = (this->center.distance(points[k])<this->radius) ? 1. : 0.;
if (this->selected==CutOffFunctionBase<dim>::no_component)
values[k] = val;
else
{
values[k] = 0;
values[k](this->selected) = val;
}
}
}
template <int dim>
CutOffFunctionW1<dim>::CutOffFunctionW1 (const double r,
const Point<dim> p,
const unsigned int n_components,
const unsigned int select)
:
CutOffFunctionBase<dim> (r, p, n_components, select)
{}
template <int dim>
double
CutOffFunctionW1<dim>::value (const Point<dim> &p,
const unsigned int component) const
{
if (this->selected==CutOffFunctionBase<dim>::no_component
||
component==this->selected)
{
const double d = this->center.distance(p);
return ((d<this->radius) ? (this->radius-d) : 0.);
}
return 0.;
}
template <int dim>
void
CutOffFunctionW1<dim>::value_list (const std::vector<Point<dim> > &points,
std::vector<double> &values,
const unsigned int component) const
{
Assert (values.size() == points.size(),
ExcDimensionMismatch(values.size(), points.size()));
if (this->selected==CutOffFunctionBase<dim>::no_component
||
component==this->selected)
for (unsigned int i=0; i<values.size(); ++i)
{
const double d = this->center.distance(points[i]);
values[i] = ((d<this->radius) ? (this->radius-d) : 0.);
}
else
std::fill (values.begin(), values.end(), 0.);
}
template <int dim>
void
CutOffFunctionW1<dim>::vector_value_list (
const std::vector<Point<dim> > &points,
std::vector<Vector<double> > &values) const
{
Assert (values.size() == points.size(),
ExcDimensionMismatch(values.size(), points.size()));
for (unsigned int k=0; k<values.size(); ++k)
{
const double d = this->center.distance(points[k]);
const double
val = (d<this->radius) ? (this->radius-d) : 0.;
if (this->selected==CutOffFunctionBase<dim>::no_component)
values[k] = val;
else
{
values[k] = 0;
values[k](this->selected) = val;
}
}
}
template <int dim>
CutOffFunctionCinfty<dim>::CutOffFunctionCinfty (const double r,
const Point<dim> p,
const unsigned int n_components,
const unsigned int select)
:
CutOffFunctionBase<dim> (r, p, n_components, select)
{}
template <int dim>
double
CutOffFunctionCinfty<dim>::value (const Point<dim> &p,
const unsigned int component) const
{
if (this->selected==CutOffFunctionBase<dim>::no_component
||
component==this->selected)
{
const double d = this->center.distance(p);
const double r = this->radius;
if (d>=r)
return 0.;
const double e = -r*r/(r*r-d*d);
return ((e<-50) ? 0. : numbers::E * exp(e));
}
return 0.;
}
template <int dim>
void
CutOffFunctionCinfty<dim>::value_list (const std::vector<Point<dim> > &points,
std::vector<double> &values,
const unsigned int component) const
{
Assert (values.size() == points.size(),
ExcDimensionMismatch(values.size(), points.size()));
const double r = this->radius;
if (this->selected==CutOffFunctionBase<dim>::no_component
||
component==this->selected)
for (unsigned int i=0; i<values.size(); ++i)
{
const double d = this->center.distance(points[i]);
if (d>=r)
{
values[i] = 0.;
}
else
{
const double e = -r*r/(r*r-d*d);
values[i] = (e<-50) ? 0. : numbers::E * exp(e);
}
}
else
std::fill (values.begin(), values.end(), 0.);
}
template <int dim>
void
CutOffFunctionCinfty<dim>::vector_value_list (
const std::vector<Point<dim> > &points,
std::vector<Vector<double> > &values) const
{
Assert (values.size() == points.size(),
ExcDimensionMismatch(values.size(), points.size()));
for (unsigned int k=0; k<values.size(); ++k)
{
const double d = this->center.distance(points[k]);
const double r = this->radius;
double val = 0.;
if (d<this->radius)
{
const double e = -r*r/(r*r-d*d);
if (e>-50)
val = numbers::E * exp(e);
}
if (this->selected==CutOffFunctionBase<dim>::no_component)
values[k] = val;
else
{
values[k] = 0;
values[k](this->selected) = val;
}
}
}
template <int dim>
Tensor<1,dim>
CutOffFunctionCinfty<dim>::gradient (const Point<dim> &p,
const unsigned int) const
{
const double d = this->center.distance(p);
const double r = this->radius;
if (d>=r)
return Tensor<1,dim>();
const double e = -d*d/(r-d)/(r+d);
return ((e<-50) ?
Point<dim>() :
(p-this->center)/d*(-2.0*r*r/pow(-r*r+d*d,2.0)*d*exp(e)));
}
// explicit instantiations
template class CutOffFunctionLinfty <1>;
template class CutOffFunctionLinfty <2>;
template class CutOffFunctionLinfty <3>;
template class CutOffFunctionW1 <1>;
template class CutOffFunctionW1 <2>;
template class CutOffFunctionW1 <3>;
template class CutOffFunctionCinfty <1>;
template class CutOffFunctionCinfty <2>;
template class CutOffFunctionCinfty <3>;
}
DEAL_II_NAMESPACE_CLOSE
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