gridfunctiontest.hh

// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_FUNCTIONS_GRIDFUNCTIONS_TEST_GRIDFUNCTIONTEST_HH
#define DUNE_FUNCTIONS_GRIDFUNCTIONS_TEST_GRIDFUNCTIONTEST_HH
 
#include <type_traits>
 
#include <dune/geometry/quadraturerules.hh>
 
#include <dune/functions/common/functionconcepts.hh>
#include <dune/functions/gridfunctions/gridfunction.hh>
#include <dune/functions/gridfunctions/gridviewfunction.hh>
#include <dune/functions/gridfunctions/gridviewentityset.hh>
 
 
namespace Dune {
namespace Functions {
namespace Test {
 
 
 
bool checkTrue(bool value, std::string error)
{
  if (not(value))
    std::cout << "TEST FAILURE:" << error << std::endl;
  return value;
}
 
 
 
template<class GridView, class F>
double integrateGridViewFunction(const GridView& gridView, const F& f, unsigned int quadOrder)
{
  static const int dim = GridView::dimension;
 
  double integral = 0;
 
  auto fLocal = localFunction(f);
 
  // Loop over elements and integrate over the function
  for (const auto& e : elements(gridView))
  {
    auto geometry = e.geometry();
 
    fLocal.bind(e);
 
    if (not fLocal.bound())
      DUNE_THROW(Exception, "Function is not bound after bind()");
 
    // A quadrature rule
    const auto& quad = QuadratureRules<double, dim>::rule(e.type(), quadOrder);
 
    // Loop over all quadrature points
    for ( size_t pt=0; pt < quad.size(); pt++ ) {
 
      // Position of the current quadrature point in the reference element
      auto quadPos = quad[pt].position();
 
      // The multiplicative factor in the integral transformation formula
      auto integrationElement = geometry.integrationElement(quadPos);
 
      integral += fLocal(quadPos) * quad[pt].weight() * integrationElement;
    }
    fLocal.unbind();
  }
  return integral;
}
 
 
template<class GridView, class F>
bool checkGridViewFunction(const GridView& gridView, const F& f, double exactIntegral, unsigned int quadOrder=1)
{
  bool passed = true;
  double integral;
 
  using Dune::Functions::Concept::isGridFunction;
 
  using EntitySet = typename F::EntitySet;
  using Domain = typename EntitySet::GlobalCoordinate;
  using Range = std::invoke_result_t<F, Domain>;
 
 
 
  std::cout << "Checking raw function f on grid view" << std::endl;
  passed = checkTrue(isGridFunction<decltype(f), Range(Domain), EntitySet>(), "Function does not model GridFunction concept");
  integral = integrateGridViewFunction(gridView, f, quadOrder);
  passed = checkTrue(std::abs(integral-exactIntegral) < 1e-10, "Integral is "+std::to_string(integral)+" but should be "+std::to_string(exactIntegral));
 
  std::cout << "Checking GridFunction<Range(Domain), EntitySet>(f) on grid view" << std::endl;
  GridFunction<Range(Domain), EntitySet> f2 = f;
  passed = checkTrue(isGridFunction<decltype(f2), Range(Domain), EntitySet>(), "Function does not model GridFunction concept");
  integral = integrateGridViewFunction(gridView, f2, quadOrder);
  passed = checkTrue(std::abs(integral-exactIntegral) < 1e-10, "Integral is "+std::to_string(integral)+" but should be "+std::to_string(exactIntegral));
 
  std::cout << "Checking GridViewFunction<Range(Domain), GridView>(f) on grid view" << std::endl;
  GridViewFunction<Range(Domain), GridView> f3 = f;
  passed = checkTrue(isGridFunction<decltype(f3), Range(Domain), EntitySet>(), "Function does not model GridFunction concept");
  integral = integrateGridViewFunction(gridView, f3, quadOrder);
  passed = checkTrue(std::abs(integral-exactIntegral) < 1e-10, "Integral is "+std::to_string(integral)+" but should be "+std::to_string(exactIntegral));
 
  std::cout << "Checking makeGridFunction(f) on grid view" << std::endl;
  auto f4 = makeGridViewFunction(f, gridView);
  passed = checkTrue(isGridFunction<decltype(f4), Range(Domain), EntitySet>(), "Function does not model GridFunction concept");
  integral = integrateGridViewFunction(gridView, f4, quadOrder);
  passed = checkTrue(std::abs(integral-exactIntegral) < 1e-10, "Integral is "+std::to_string(integral)+" but should be "+std::to_string(exactIntegral));
 
  std::cout << "Checking GridViewFunction<Range(Domain), GridView>(makeGridFunction(f)) on grid view" << std::endl;
  GridViewFunction<Range(Domain), GridView> f5 = f4;
  integral = integrateGridViewFunction(gridView, f5, quadOrder);
  passed = checkTrue(std::abs(integral-exactIntegral) < 1e-10, "Integral is "+std::to_string(integral)+" but should be "+std::to_string(exactIntegral));
 
  std::cout << "Checking default constructed and assigned GridViewFunction<Range(Domain), GridView> on grid view" << std::endl;
  GridViewFunction<Range(Domain), GridView> f6;
  f6 = f5;
  integral = integrateGridViewFunction(gridView, f6, quadOrder);
  passed = checkTrue(std::abs(integral-exactIntegral) < 1e-10, "Integral is "+std::to_string(integral)+" but should be "+std::to_string(exactIntegral));
 
  std::cout << "Checking reassigned GridViewFunction<Range(Domain), GridView> on grid view" << std::endl;
  f6 = f3;
  integral = integrateGridViewFunction(gridView, f6, quadOrder);
  passed = checkTrue(std::abs(integral-exactIntegral) < 1e-10, "Integral is "+std::to_string(integral)+" but should be "+std::to_string(exactIntegral));
 
  return passed;
}
 
 
 
 
} // namespace Test
} // namespace Functions
} // namespace Dune
 
 
 
 
#endif // DUNE_FUNCTIONS_GRIDFUNCTIONS_TEST_GRIDFUNCTIONTEST_HH