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33 results

BuiltinModule.hpp

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    • Stéphane Del Pino's avatar
      46f9c3d9
      Change affectation operators handling · 46f9c3d9
      Stéphane Del Pino authored
      This commit introduces an OperatorRepository which handles operator to
      node processor builders. This gives more flexibility to operators
      definition (especially for incoming non basic types).
      
      This also lead to slightly faster compilation and important memory use
      reduction.
      46f9c3d9
      History
      Change affectation operators handling
      Stéphane Del Pino authored
      This commit introduces an OperatorRepository which handles operator to
      node processor builders. This gives more flexibility to operators
      definition (especially for incoming non basic types).
      
      This also lead to slightly faster compilation and important memory use
      reduction.
    test_DiscreteFunctionP0Vector.cpp 26.59 KiB
    #include <catch2/catch_test_macros.hpp>
    #include <catch2/matchers/catch_matchers_all.hpp>
    
    #include <MeshDataBaseForTests.hpp>
    #include <scheme/DiscreteFunctionP0Vector.hpp>
    
    // clazy:excludeall=non-pod-global-static
    
    TEST_CASE("DiscreteFunctionP0Vector", "[scheme]")
    {
      auto same_values = [](const auto& f, const auto& g) {
        const size_t number_of_cells = f.cellArrays().numberOfItems();
        const size_t size_of_arrays  = f.cellArrays().sizeOfArrays();
        for (CellId cell_id = 0; cell_id < number_of_cells; ++cell_id) {
          for (size_t i = 0; i < size_of_arrays; ++i) {
            if (f[cell_id][i] != g[cell_id][i]) {
              return false;
            }
          }
        }
        return true;
      };
    
      SECTION("constructors")
      {
        SECTION("1D")
        {
          const size_t size = 3;
    
          std::shared_ptr mesh       = MeshDataBaseForTests::get().cartesianMesh1D();
          constexpr size_t Dimension = 1;
    
          DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
          REQUIRE(f.dataType() == ASTNodeDataType::double_t);
          REQUIRE(f.descriptor().type() == DiscreteFunctionType::P0Vector);
          REQUIRE(f.size() == size);
    
          REQUIRE(f.mesh().get() == mesh.get());
    
          DiscreteFunctionP0Vector g{f};
          REQUIRE(g.dataType() == ASTNodeDataType::double_t);
          REQUIRE(g.descriptor().type() == DiscreteFunctionType::P0Vector);
          REQUIRE(g.size() == size);
    
          CellArray<double> h_arrays{mesh->connectivity(), size};
          h_arrays.fill(0);
    
          DiscreteFunctionP0Vector zero{mesh, [&] {
                                          CellArray<double> cell_array{mesh->connectivity(), size};
                                          cell_array.fill(0);
                                          return cell_array;
                                        }()};
    
          DiscreteFunctionP0Vector h{mesh, h_arrays};
          REQUIRE(same_values(h, zero));
          REQUIRE(same_values(h, h_arrays));
    
          h_arrays.fill(1);
    
          REQUIRE(same_values(h, h_arrays));
          REQUIRE(not same_values(h, zero));
    
          DiscreteFunctionP0Vector moved_h{std::move(h)};
          REQUIRE(same_values(moved_h, h_arrays));
        }
    
        SECTION("2D")
        {
          const size_t size = 3;
    
          std::shared_ptr mesh       = MeshDataBaseForTests::get().cartesianMesh2D();
          constexpr size_t Dimension = 2;
    
          DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
          REQUIRE(f.dataType() == ASTNodeDataType::double_t);
          REQUIRE(f.descriptor().type() == DiscreteFunctionType::P0Vector);
          REQUIRE(f.size() == size);
    
          REQUIRE(f.mesh().get() == mesh.get());
    
          DiscreteFunctionP0Vector g{f};
          REQUIRE(g.dataType() == ASTNodeDataType::double_t);
          REQUIRE(g.descriptor().type() == DiscreteFunctionType::P0Vector);
          REQUIRE(g.size() == size);
    
          CellArray<double> h_arrays{mesh->connectivity(), size};
          h_arrays.fill(0);
    
          DiscreteFunctionP0Vector zero{mesh, [&] {
                                          CellArray<double> cell_array{mesh->connectivity(), size};
                                          cell_array.fill(0);
                                          return cell_array;
                                        }()};
    
          DiscreteFunctionP0Vector h{mesh, h_arrays};
          REQUIRE(same_values(h, zero));
          REQUIRE(same_values(h, h_arrays));
    
          h_arrays.fill(1);
    
          REQUIRE(same_values(h, h_arrays));
          REQUIRE(not same_values(h, zero));
    
          DiscreteFunctionP0Vector moved_h{std::move(h)};
          REQUIRE(same_values(moved_h, h_arrays));
        }
    
        SECTION("3D")
        {
          const size_t size = 2;
    
          std::shared_ptr mesh       = MeshDataBaseForTests::get().cartesianMesh3D();
          constexpr size_t Dimension = 3;
    
          DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
          REQUIRE(f.dataType() == ASTNodeDataType::double_t);
          REQUIRE(f.descriptor().type() == DiscreteFunctionType::P0Vector);
          REQUIRE(f.size() == size);
    
          REQUIRE(f.mesh().get() == mesh.get());
    
          DiscreteFunctionP0Vector g{f};
          REQUIRE(g.dataType() == ASTNodeDataType::double_t);
          REQUIRE(g.descriptor().type() == DiscreteFunctionType::P0Vector);
          REQUIRE(g.size() == size);
    
          CellArray<double> h_arrays{mesh->connectivity(), size};
          h_arrays.fill(0);
    
          DiscreteFunctionP0Vector zero{mesh, [&] {
                                          CellArray<double> cell_array{mesh->connectivity(), size};
                                          cell_array.fill(0);
                                          return cell_array;
                                        }()};
    
          DiscreteFunctionP0Vector h{mesh, h_arrays};
          REQUIRE(same_values(h, zero));
          REQUIRE(same_values(h, h_arrays));
    
          h_arrays.fill(1);
    
          REQUIRE(same_values(h, h_arrays));
          REQUIRE(not same_values(h, zero));
    
          DiscreteFunctionP0Vector moved_h{std::move(h)};
          REQUIRE(same_values(moved_h, h_arrays));
        }
      }
    
      SECTION("fill")
      {
        auto all_values_equal = [](const auto& f, const auto& g) {
          const size_t number_of_cells = f.cellArrays().numberOfItems();
          size_t size_of_arrays        = f.cellArrays().sizeOfArrays();
          for (CellId cell_id = 0; cell_id < number_of_cells; ++cell_id) {
            for (size_t i = 0; i < size_of_arrays; ++i) {
              if (f[cell_id][i] != g) {
                return false;
              }
            }
          }
          return true;
        };
    
        SECTION("1D")
        {
          const size_t size = 3;
    
          std::shared_ptr mesh       = MeshDataBaseForTests::get().cartesianMesh1D();
          constexpr size_t Dimension = 1;
    
          DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
          f.fill(3);
    
          REQUIRE(all_values_equal(f, 3));
        }
    
        SECTION("2D")
        {
          const size_t size = 3;
    
          std::shared_ptr mesh       = MeshDataBaseForTests::get().cartesianMesh2D();
          constexpr size_t Dimension = 2;
    
          DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
          f.fill(2.3);
    
          REQUIRE(all_values_equal(f, 2.3));
        }
    
        SECTION("3D")
        {
          const size_t size = 2;
    
          std::shared_ptr mesh       = MeshDataBaseForTests::get().cartesianMesh3D();
          constexpr size_t Dimension = 3;
    
          DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
          f.fill(3.2);
    
          REQUIRE(all_values_equal(f, 3.2));
        }
      }
    
      SECTION("copies")
      {
        auto all_values_equal = [](const auto& f, const auto& g) {
          const size_t number_of_cells = f.cellArrays().numberOfItems();
          const size_t size_of_arrays  = f.cellArrays().sizeOfArrays();
    
          for (CellId cell_id = 0; cell_id < number_of_cells; ++cell_id) {
            for (size_t i = 0; i < size_of_arrays; ++i) {
              if (f[cell_id][i] != g) {
                return false;
              }
            }
          }
          return true;
        };
    
        SECTION("1D")
        {
          std::shared_ptr mesh = MeshDataBaseForTests::get().cartesianMesh1D();
    
          constexpr size_t Dimension = 1;
    
          const size_t size  = 3;
          const size_t value = parallel::rank() + 1;
          const size_t zero  = 0;
    
          DiscreteFunctionP0Vector<Dimension, size_t> f{mesh, size};
          f.fill(value);
    
          REQUIRE(all_values_equal(f, value));
    
          DiscreteFunctionP0Vector g = copy(f);
          f.fill(zero);
    
          REQUIRE(all_values_equal(f, zero));
          REQUIRE(all_values_equal(g, value));
    
          copy_to(g, f);
          g.fill(zero);
    
          DiscreteFunctionP0Vector<Dimension, const size_t> h = copy(f);
    
          DiscreteFunctionP0Vector<Dimension, size_t> shallow_g{mesh, size};
          shallow_g = g;
    
          REQUIRE(all_values_equal(f, value));
          REQUIRE(all_values_equal(g, zero));
          REQUIRE(all_values_equal(shallow_g, zero));
          REQUIRE(all_values_equal(h, value));
    
          copy_to(h, g);
    
          REQUIRE(all_values_equal(g, value));
          REQUIRE(all_values_equal(shallow_g, value));
        }
    
        SECTION("2D")
        {
          std::shared_ptr mesh = MeshDataBaseForTests::get().cartesianMesh2D();
    
          constexpr size_t Dimension = 2;
    
          const size_t size  = 3;
          const size_t value = parallel::rank() + 1;
          const size_t zero  = 0;
    
          DiscreteFunctionP0Vector<Dimension, size_t> f{mesh, size};
          f.fill(value);
    
          REQUIRE(all_values_equal(f, value));
    
          DiscreteFunctionP0Vector g = copy(f);
          f.fill(zero);
    
          REQUIRE(all_values_equal(f, zero));
          REQUIRE(all_values_equal(g, value));
    
          copy_to(g, f);
          g.fill(zero);
    
          DiscreteFunctionP0Vector<Dimension, const size_t> h = copy(f);
    
          DiscreteFunctionP0Vector<Dimension, size_t> shallow_g{mesh, size};
          shallow_g = g;
    
          REQUIRE(all_values_equal(f, value));
          REQUIRE(all_values_equal(g, zero));
          REQUIRE(all_values_equal(shallow_g, zero));
          REQUIRE(all_values_equal(h, value));
    
          copy_to(h, g);
    
          REQUIRE(all_values_equal(g, value));
          REQUIRE(all_values_equal(shallow_g, value));
        }
    
        SECTION("3D")
        {
          std::shared_ptr mesh = MeshDataBaseForTests::get().cartesianMesh3D();
    
          constexpr size_t Dimension = 3;
    
          const size_t size  = 3;
          const size_t value = parallel::rank() + 1;
          const size_t zero  = 0;
    
          DiscreteFunctionP0Vector<Dimension, size_t> f{mesh, size};
          f.fill(value);
    
          REQUIRE(all_values_equal(f, value));
    
          DiscreteFunctionP0Vector g = copy(f);
          f.fill(zero);
    
          REQUIRE(all_values_equal(f, zero));
          REQUIRE(all_values_equal(g, value));
    
          copy_to(g, f);
          g.fill(zero);
    
          DiscreteFunctionP0Vector<Dimension, const size_t> h = copy(f);
    
          DiscreteFunctionP0Vector<Dimension, size_t> shallow_g{mesh, size};
          shallow_g = g;
    
          REQUIRE(all_values_equal(f, value));
          REQUIRE(all_values_equal(g, zero));
          REQUIRE(all_values_equal(h, value));
    
          copy_to(h, g);
    
          REQUIRE(all_values_equal(g, value));
          REQUIRE(all_values_equal(shallow_g, value));
        }
      }
    
      SECTION("unary operators")
      {
        SECTION("1D")
        {
          const size_t size    = 3;
          std::shared_ptr mesh = MeshDataBaseForTests::get().cartesianMesh1D();
    
          constexpr size_t Dimension = 1;
    
          auto xj = MeshDataManager::instance().getMeshData(*mesh).xj();
    
          SECTION("unary minus")
          {
            DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
            parallel_for(
              mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                const double x = xj[cell_id][0];
                for (size_t i = 0; i < size; ++i) {
                  f[cell_id][i] = 2 * x + i;
                }
              });
    
            DiscreteFunctionP0Vector<Dimension, const double> const_f = f;
    
            Table<double> minus_values{mesh->numberOfCells(), size};
            parallel_for(
              mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                for (size_t i = 0; i < size; ++i) {
                  minus_values[cell_id][i] = -f[cell_id][i];
                }
              });
    
            REQUIRE(same_values(-f, minus_values));
            REQUIRE(same_values(-const_f, minus_values));
          }
        }
    
        SECTION("2D")
        {
          const size_t size    = 3;
          std::shared_ptr mesh = MeshDataBaseForTests::get().cartesianMesh2D();
    
          constexpr size_t Dimension = 2;
    
          auto xj = MeshDataManager::instance().getMeshData(*mesh).xj();
    
          SECTION("unary minus")
          {
            DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
            parallel_for(
              mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                const double x = xj[cell_id][0];
                const double y = xj[cell_id][1];
                for (size_t i = 0; i < size; ++i) {
                  f[cell_id][i] = 2 * x + i * y;
                }
              });
    
            DiscreteFunctionP0Vector<Dimension, const double> const_f = f;
    
            Table<double> minus_values{mesh->numberOfCells(), size};
            parallel_for(
              mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                for (size_t i = 0; i < size; ++i) {
                  minus_values[cell_id][i] = -f[cell_id][i];
                }
              });
    
            REQUIRE(same_values(-f, minus_values));
            REQUIRE(same_values(-const_f, minus_values));
          }
        }
    
        SECTION("3D")
        {
          const size_t size    = 2;
          std::shared_ptr mesh = MeshDataBaseForTests::get().cartesianMesh3D();
    
          constexpr size_t Dimension = 3;
    
          auto xj = MeshDataManager::instance().getMeshData(*mesh).xj();
    
          SECTION("unary minus")
          {
            DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
            parallel_for(
              mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                const double x = xj[cell_id][0];
                const double y = xj[cell_id][1];
                const double z = xj[cell_id][2];
                for (size_t i = 0; i < size; ++i) {
                  f[cell_id][i] = 2 * x + i * y - z;
                }
              });
    
            DiscreteFunctionP0Vector<Dimension, const double> const_f = f;
    
            Table<double> minus_values{mesh->numberOfCells(), size};
            parallel_for(
              mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                for (size_t i = 0; i < size; ++i) {
                  minus_values[cell_id][i] = -f[cell_id][i];
                }
              });
    
            REQUIRE(same_values(-f, minus_values));
            REQUIRE(same_values(-const_f, minus_values));
          }
        }
      }
    
      SECTION("binary operators")
      {
        SECTION("1D")
        {
          const size_t size = 3;
    
          std::shared_ptr mesh = MeshDataBaseForTests::get().cartesianMesh1D();
    
          constexpr size_t Dimension = 1;
    
          auto xj = MeshDataManager::instance().getMeshData(*mesh).xj();
    
          SECTION("inner operators")
          {
            SECTION("scalar functions")
            {
              DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
              parallel_for(
                mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                  const double x = xj[cell_id][0];
                  f[cell_id][0]  = 2 * x + 1;
                  f[cell_id][1]  = x * x - 1;
                  f[cell_id][2]  = 2 + x;
                });
    
              DiscreteFunctionP0Vector<Dimension, double> g{mesh, size};
              parallel_for(
                mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                  const double x = xj[cell_id][0];
                  g[cell_id][0]  = (x + 1) * (x - 2) + 1;
                  g[cell_id][1]  = 3 * (x + 2) - 1;
                  g[cell_id][2]  = (x + 3) * 5;
                });
    
              DiscreteFunctionP0Vector<Dimension, const double> const_f = f;
              DiscreteFunctionP0Vector<Dimension, const double> const_g{g};
    
              SECTION("sum")
              {
                Table<double> sum_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      sum_values[cell_id][i] = f[cell_id][i] + g[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(f + g, sum_values));
                REQUIRE(same_values(const_f + g, sum_values));
                REQUIRE(same_values(f + const_g, sum_values));
                REQUIRE(same_values(const_f + const_g, sum_values));
              }
    
              SECTION("difference")
              {
                Table<double> difference_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      difference_values[cell_id][i] = f[cell_id][i] - g[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(f - g, difference_values));
                REQUIRE(same_values(const_f - g, difference_values));
                REQUIRE(same_values(f - const_g, difference_values));
                REQUIRE(same_values(const_f - const_g, difference_values));
              }
            }
          }
    
          SECTION("external operators")
          {
            DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
            parallel_for(
              mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                const double x = xj[cell_id][0];
                for (size_t i = 0; i < size; ++i) {
                  f[cell_id][i] = std::abs(2 * x) + i;
                }
              });
    
            DiscreteFunctionP0Vector<Dimension, const double> const_f = f;
    
            SECTION("product")
            {
              SECTION("scalar lhs")
              {
                const double a = 3.2;
                Table<double> product_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      product_values[cell_id][i] = a * f[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(a * f, product_values));
                REQUIRE(same_values(a * const_f, product_values));
              }
    
              SECTION("DiscreteFunctionP0 lhs")
              {
                DiscreteFunctionP0<Dimension, double> a{mesh};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    const double x = xj[cell_id][0];
                    a[cell_id]     = 2 * x + 1;
                  });
    
                Table<double> product_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      product_values[cell_id][i] = a[cell_id] * f[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(a * f, product_values));
                REQUIRE(same_values(a * const_f, product_values));
    
                DiscreteFunctionP0<Dimension, const double> const_a = a;
                REQUIRE(same_values(const_a * f, product_values));
                REQUIRE(same_values(const_a * const_f, product_values));
              }
            }
          }
        }
    
        SECTION("2D")
        {
          const size_t size = 3;
    
          std::shared_ptr mesh = MeshDataBaseForTests::get().cartesianMesh2D();
    
          constexpr size_t Dimension = 2;
    
          auto xj = MeshDataManager::instance().getMeshData(*mesh).xj();
    
          SECTION("inner operators")
          {
            SECTION("scalar functions")
            {
              DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
              parallel_for(
                mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                  const double x = xj[cell_id][0];
                  const double y = xj[cell_id][1];
                  f[cell_id][0]  = 2 * x + 1;
                  f[cell_id][1]  = x * x - y;
                  f[cell_id][2]  = 2 + x * y;
                });
    
              DiscreteFunctionP0Vector<Dimension, double> g{mesh, size};
              parallel_for(
                mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                  const double x = xj[cell_id][0];
                  const double y = xj[cell_id][1];
                  g[cell_id][0]  = (x + 1) * (y - 2) + 1;
                  g[cell_id][1]  = 3 * (x + 2) - y;
                  g[cell_id][2]  = (x + 3) + 5 * y;
                });
    
              DiscreteFunctionP0Vector<Dimension, const double> const_f = f;
              DiscreteFunctionP0Vector<Dimension, const double> const_g{g};
    
              SECTION("sum")
              {
                Table<double> sum_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      sum_values[cell_id][i] = f[cell_id][i] + g[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(f + g, sum_values));
                REQUIRE(same_values(const_f + g, sum_values));
                REQUIRE(same_values(f + const_g, sum_values));
                REQUIRE(same_values(const_f + const_g, sum_values));
              }
    
              SECTION("difference")
              {
                Table<double> difference_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      difference_values[cell_id][i] = f[cell_id][i] - g[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(f - g, difference_values));
                REQUIRE(same_values(const_f - g, difference_values));
                REQUIRE(same_values(f - const_g, difference_values));
                REQUIRE(same_values(const_f - const_g, difference_values));
              }
            }
          }
    
          SECTION("external operators")
          {
            DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
            parallel_for(
              mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                const double x = xj[cell_id][0];
                const double y = xj[cell_id][1];
                for (size_t i = 0; i < size; ++i) {
                  f[cell_id][i] = std::abs(2 * x) + i * y;
                }
              });
    
            DiscreteFunctionP0Vector<Dimension, const double> const_f = f;
    
            SECTION("product")
            {
              SECTION("scalar lhs")
              {
                const double a = 3.2;
                Table<double> product_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      product_values[cell_id][i] = a * f[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(a * f, product_values));
                REQUIRE(same_values(a * const_f, product_values));
              }
    
              SECTION("DiscreteFunctionP0 lhs")
              {
                DiscreteFunctionP0<Dimension, double> a{mesh};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    const double x = xj[cell_id][0];
                    const double y = xj[cell_id][1];
                    a[cell_id]     = 2 * x + 1 - y;
                  });
    
                Table<double> product_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      product_values[cell_id][i] = a[cell_id] * f[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(a * f, product_values));
                REQUIRE(same_values(a * const_f, product_values));
    
                DiscreteFunctionP0<Dimension, const double> const_a = a;
                REQUIRE(same_values(const_a * f, product_values));
                REQUIRE(same_values(const_a * const_f, product_values));
              }
            }
          }
        }
    
        SECTION("3D")
        {
          const size_t size = 2;
    
          std::shared_ptr mesh = MeshDataBaseForTests::get().cartesianMesh3D();
    
          constexpr size_t Dimension = 3;
    
          auto xj = MeshDataManager::instance().getMeshData(*mesh).xj();
    
          SECTION("inner operators")
          {
            SECTION("scalar functions")
            {
              DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
              parallel_for(
                mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                  const double x = xj[cell_id][0];
                  const double y = xj[cell_id][1];
                  const double z = xj[cell_id][2];
                  f[cell_id][0]  = 2 * x * z + 1;
                  f[cell_id][1]  = x * z - y;
                });
    
              DiscreteFunctionP0Vector<Dimension, double> g{mesh, size};
              parallel_for(
                mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                  const double x = xj[cell_id][0];
                  const double y = xj[cell_id][1];
                  const double z = xj[cell_id][2];
                  g[cell_id][0]  = (x + 1) * (y - 2) + 1 - z;
                  g[cell_id][1]  = 3 * (x + 2) - y * z;
                });
    
              DiscreteFunctionP0Vector<Dimension, const double> const_f = f;
              DiscreteFunctionP0Vector<Dimension, const double> const_g{g};
    
              SECTION("sum")
              {
                Table<double> sum_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      sum_values[cell_id][i] = f[cell_id][i] + g[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(f + g, sum_values));
                REQUIRE(same_values(const_f + g, sum_values));
                REQUIRE(same_values(f + const_g, sum_values));
                REQUIRE(same_values(const_f + const_g, sum_values));
              }
    
              SECTION("difference")
              {
                Table<double> difference_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      difference_values[cell_id][i] = f[cell_id][i] - g[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(f - g, difference_values));
                REQUIRE(same_values(const_f - g, difference_values));
                REQUIRE(same_values(f - const_g, difference_values));
                REQUIRE(same_values(const_f - const_g, difference_values));
              }
            }
          }
    
          SECTION("external operators")
          {
            DiscreteFunctionP0Vector<Dimension, double> f{mesh, size};
            parallel_for(
              mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                const double x = xj[cell_id][0];
                const double y = xj[cell_id][1];
                const double z = xj[cell_id][2];
                for (size_t i = 0; i < size; ++i) {
                  f[cell_id][i] = std::abs(2 * x) + i * y + z;
                }
              });
    
            DiscreteFunctionP0Vector<Dimension, const double> const_f = f;
    
            SECTION("product")
            {
              SECTION("scalar lhs")
              {
                const double a = 3.2;
                Table<double> product_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      product_values[cell_id][i] = a * f[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(a * f, product_values));
                REQUIRE(same_values(a * const_f, product_values));
              }
    
              SECTION("DiscreteFunctionP0 lhs")
              {
                DiscreteFunctionP0<Dimension, double> a{mesh};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    const double x = xj[cell_id][0];
                    const double y = xj[cell_id][1];
                    const double z = xj[cell_id][2];
                    a[cell_id]     = 2 * x + 1 - y * z;
                  });
    
                Table<double> product_values{mesh->numberOfCells(), size};
                parallel_for(
                  mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
                    for (size_t i = 0; i < size; ++i) {
                      product_values[cell_id][i] = a[cell_id] * f[cell_id][i];
                    }
                  });
    
                REQUIRE(same_values(a * f, product_values));
                REQUIRE(same_values(a * const_f, product_values));
    
                DiscreteFunctionP0<Dimension, const double> const_a = a;
                REQUIRE(same_values(const_a * f, product_values));
                REQUIRE(same_values(const_a * const_f, product_values));
              }
            }
          }
        }
      }
    }