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LagrangeInterpolator.h
// Copyright (C) 2014 Mikael Mortensen
//
// This file is part of DOLFIN.
//
// DOLFIN is free software: you can 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 3 of the License, or
// (at your option) any later version.
//
// DOLFIN is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with DOLFIN. If not, see <http://www.gnu.org/licenses/>.
#ifndef __LAGRANGE_INTERPOLATOR_H
#define __LAGRANGE_INTERPOLATOR_H
#include <algorithm>
#include <map>
#include <unordered_map>
#include <vector>
namespace dolfin
{
class Expression;
class Function;
class FunctionSpace;
class GenericDofMap;
class Mesh;
class LagrangeInterpolator
{
public:
static void interpolate(Function& u, const Expression& u0);
static void interpolate(Function& u, const Function& u0);
private:
// Comparison operator for hashing coordinates. Note that two
// coordinates are considered equal if equal to within specified
// tolerance.
struct lt_coordinate
{
lt_coordinate(double tolerance) : TOL(tolerance) {}
bool operator() (const std::vector<double>& x,
const std::vector<double>& y) const
{
const std::size_t n = std::max(x.size(), y.size());
for (std::size_t i = 0; i < n; ++i)
{
double xx = 0.0;
double yy = 0.0;
if (i < x.size())
xx = x[i];
if (i < y.size())
yy = y[i];
if (xx < (yy - TOL))
return true;
else if (xx > (yy + TOL))
return false;
}
return false;
}
// Tolerance
const double TOL;
};
// Create a map from coordinates to a list of dofs that share the
// coordinate
static std::map<std::vector<double>, std::vector<std::size_t>,
lt_coordinate>
tabulate_coordinates_to_dofs(const FunctionSpace& V);
// Create a map from dof to its component index in Mixed Space
static void extract_dof_component_map(std::unordered_map<std::size_t,
std::size_t>& dof_component_map,
const FunctionSpace& V,
int* component);
// Return true if point lies within bounding box
static bool in_bounding_box(const std::vector<double>& point,
const std::vector<double>& bounding_box,
const double tol);
};
}
#endif
dolfin::Expression
Definition Expression.h:50
dolfin::FunctionSpace
Definition FunctionSpace.h:54
dolfin::Function
Definition Function.h:66
dolfin::GenericDofMap
This class provides a generic interface for dof maps.
Definition GenericDofMap.h:50
dolfin::LagrangeInterpolator
Definition LagrangeInterpolator.h:39
dolfin::LagrangeInterpolator::interpolate
static void interpolate(Function &u, const Expression &u0)
Definition LagrangeInterpolator.cpp:34
dolfin::Mesh
Definition Mesh.h:84
dolfin
Definition adapt.h:30