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// Copyright (C) 2017 Garth N. Wells
//
// This file is part of FFC.
//
// FFC 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.
//
// FFC 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 FFC. If not, see <http://www.gnu.org/licenses/>.
#include <iostream>
#include <memory>
#include <stdexcept>
#include <vector>
#include <pybind11/pybind11.h>
#include <pybind11/numpy.h>
#include <ufc.h>
namespace py = pybind11;
namespace ufc_wrappers
{
void check_array_shape(py::array_t<double> x,
const std::vector<std::size_t> shape)
{
const py::buffer_info x_info = x.request();
if ((std::size_t) x_info.ndim != shape.size())
throw std::runtime_error("NumPy array has wrong number of dimensions");
const auto& x_shape = x_info.shape;
for (std::size_t i =0; i < shape.size();++i)
{
if ((std::size_t) x_shape[i] != shape[i])
throw std::runtime_error("NumPy array has wrong size");
}
}
// Interface function to
// ufc::finite_element::evaluate_reference_basis
py::array_t<double> evaluate_reference_basis(ufc::finite_element &instance,
py::array_t<double> x)
{
// Dimensions
const std::size_t num_dofs = instance.space_dimension();
const std::size_t ref_size = instance.reference_value_size();
const std::size_t tdim = instance.topological_dimension();
// Extract point data
const py::buffer_info x_info = x.request();
const auto& x_shape = x_info.shape;
const std::size_t num_points = x_shape[0];
check_array_shape(x, {num_points, tdim});
// Create object to hold data to be computed and returned
py::array_t<double, py::array::c_style> f({num_points, num_dofs, ref_size});
// Evaluate basis
instance.evaluate_reference_basis(f.mutable_data(), num_points, x.data());
return f;
}
py::array_t<double>
evaluate_reference_basis_derivatives(const ufc::finite_element &instance,
std::size_t order, py::array_t<double> x)
{
// Dimensions
const std::size_t tdim = instance.topological_dimension();
const std::size_t num_dofs = instance.space_dimension();
const std::size_t ref_size = instance.reference_value_size();
// Extract point data
py::buffer_info x_info = x.request();
const auto& x_shape = x_info.shape;
const std::size_t num_points = x_shape[0];
check_array_shape(x, {num_points, tdim});
// Shape of data to be computed and returned, and create
const std::size_t num_derivs = pow(tdim, order);
py::array_t<double, py::array::c_style>
f({num_points, num_dofs, num_derivs, ref_size});
// Evaluate basis derivatives
instance.evaluate_reference_basis_derivatives(f.mutable_data(), order,
num_points, x.data());
return f;
}
py::array_t<double>
transform_reference_basis_derivatives(ufc::finite_element &instance,
std::size_t order,
py::array_t<double> reference_values,
py::array_t<double> X,
py::array_t<double> J,
py::array_t<double> detJ,
py::array_t<double> K,
int orientation)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t tdim = instance.topological_dimension();
const std::size_t num_dofs = instance.space_dimension();
const std::size_t ref_size = instance.reference_value_size();
const std::size_t num_derivs = std::pow(tdim, order);
// Extract reference value data (reference_values)
py::buffer_info info_reference_values = reference_values.request();
const auto& shape_reference_values = info_reference_values.shape;
const std::size_t num_points = shape_reference_values[0];
check_array_shape(reference_values, {num_points, num_dofs, num_derivs,
ref_size});
// Extract point data (X)
py::buffer_info x_info = X.request();
check_array_shape(X, {num_points, tdim});
// Extract Jacobian data (J)
py::buffer_info info_J = J.request();
check_array_shape(J, {num_points, gdim, tdim});
// Extract determinant of Jacobian data (detJ)
py::buffer_info info_detJ = detJ.request();
check_array_shape(detJ, {num_points});
// Extract inverse of Jacobian data (K)
py::buffer_info info_K = K.request();
check_array_shape(K, {num_points, tdim, gdim});
// Shape of data to be computed and returned, and create
py::array_t<double, py::array::c_style>
f({num_points, num_dofs, num_derivs, ref_size});
// Evaluate basis derivatives
instance.transform_reference_basis_derivatives(f.mutable_data(), order,
num_points,
reference_values.data(),
X.data(), J.data(),
detJ.data(), K.data(),
orientation);
return f;
}
// Remove from UFC
py::array_t<double> evaluate_basis(ufc::finite_element &instance,
std::size_t i,
py::array_t<double> x,
py::array_t<double> coordinate_dofs,
int cell_orientation)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t tdim = instance.topological_dimension();
const std::size_t ref_size = instance.reference_value_size();
// Extract point data (x)
py::buffer_info info_x = x.request();
check_array_shape(x, {gdim});
// Extract coordinate data (coordinate_dofs)
py::buffer_info info_coordinate_dofs = coordinate_dofs.request();
// FIXME: this assumes an affine map
check_array_shape(coordinate_dofs, {tdim + 1, gdim});
// Shape of data to be computed and returned, and create
py::array_t<double, py::array::c_style> values(ref_size);
instance.evaluate_basis(i, values.mutable_data(), x.data(), coordinate_dofs.data(),
cell_orientation, nullptr);
return values;
}
// Remove from UFC
py::array_t<double> evaluate_basis_all(ufc::finite_element &instance,
py::array_t<double> x,
py::array_t<double> coordinate_dofs,
int cell_orientation)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t tdim = instance.topological_dimension();
const std::size_t num_dofs = instance.space_dimension();
const std::size_t ref_size = instance.reference_value_size();
// Extract point data (x)
py::buffer_info info_x = x.request();
check_array_shape(x, {gdim});
// Extract reference value data (coordinate_dofs)
py::buffer_info info_coordinate_dofs = coordinate_dofs.request();
// FIXME: this assumes an affine map
check_array_shape(coordinate_dofs, {tdim + 1, gdim});
// Shape of data to be computed and returned, and create
py::array_t<double, py::array::c_style> f({num_dofs, ref_size});
// Call UFC function
instance.evaluate_basis_all(f.mutable_data(), x.data(),
coordinate_dofs.data(),
cell_orientation, nullptr);
return f;
}
// Remove from UFC
py::array_t<double> evaluate_basis_derivatives(ufc::finite_element &instance,
std::size_t i,
std::size_t n,
py::array_t<double> x,
py::array_t<double> coordinate_dofs,
int cell_orientation)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t tdim = instance.topological_dimension();
// Extract point data (x)
py::buffer_info info_x = x.request();
check_array_shape(x, {gdim});
// Extract reference value data (coordinate_dofs)
py::buffer_info info_coordinate_dofs = coordinate_dofs.request();
// FIXME: this assumes an affine map
check_array_shape(coordinate_dofs, {tdim + 1, gdim});
// Shape of data to be computed and returned, and create
py::array_t<double, py::array::c_style> f(gdim);
// Call UFC function
instance.evaluate_basis_derivatives(i, n, f.mutable_data(), x.data(),
coordinate_dofs.data(),
cell_orientation, nullptr);
return f;
}
// Remove from UFC
py::array_t<double>
evaluate_basis_derivatives_all(ufc::finite_element &instance,
std::size_t n,
py::array_t<double> x,
py::array_t<double> coordinate_dofs,
int cell_orientation)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t tdim = instance.topological_dimension();
const std::size_t num_dofs = instance.space_dimension();
// Extract point data (x)
py::buffer_info info_x = x.request();
check_array_shape(x, {gdim});
// Extract coordinate data (coordinate_dofs)
py::buffer_info info_coordinate_dofs = coordinate_dofs.request();
// FIXME: this assumes an affine map
check_array_shape(coordinate_dofs, {tdim + 1, gdim});
// Shape of data to be computed and returned, and create
py::array_t<double, py::array::c_style> f({num_dofs, gdim});
// Call UFC function
instance.evaluate_basis_derivatives_all(n, f.mutable_data(), x.data(),
coordinate_dofs.data(),
cell_orientation, nullptr);
return f;
}
double evaluate_dof(ufc::finite_element &instance,
std::size_t i,
const ufc::function& f,
py::array_t<double> coordinate_dofs,
int cell_orientation,
const ufc::cell& cell)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t tdim = instance.topological_dimension();
// Extract coordinate data (coordinate_dofs)
py::buffer_info info_coordinate_dofs = coordinate_dofs.request();
// FIXME: this assumes an affine map
check_array_shape(coordinate_dofs, {tdim + 1, gdim});
// Call UFC function
return instance.evaluate_dof(i, f , coordinate_dofs.data(),
cell_orientation, cell, nullptr);
}
py::array_t<double> evaluate_dofs(ufc::finite_element &instance,
const ufc::function& f,
py::array_t<double> coordinate_dofs,
int cell_orientation,
const ufc::cell& cell)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t tdim = instance.topological_dimension();
const std::size_t num_dofs = instance.space_dimension();
// Extract coordinate data (coordinate_dofs)
py::buffer_info info_coordinate_dofs = coordinate_dofs.request();
// FIXME: this assumes an affine map
check_array_shape(coordinate_dofs, {tdim + 1, gdim});
// Shape of data to be computed and returned, and create
py::array_t<double, py::array::c_style> values(num_dofs);
// Call UFC function
instance.evaluate_dofs(values.mutable_data(), f , coordinate_dofs.data(),
cell_orientation, cell, nullptr);
return values;
}
py::array_t<double> interpolate_vertex_values(ufc::finite_element &instance,
py::array_t<double> dof_values,
py::array_t<double> coordinate_dofs,
int cell_orientation)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t tdim = instance.topological_dimension();
const std::size_t num_dofs = instance.space_dimension();
const std::size_t num_components = instance.value_size();
// Extract dof values (dof_values)
py::buffer_info info_dof_values = dof_values.request();
check_array_shape(dof_values, {num_dofs});
// Extract coordinate data (coordinate_dofs)
py::buffer_info info_coordinate_dofs = coordinate_dofs.request();
// FIXME: this assumes an affine map
check_array_shape(coordinate_dofs, {tdim + 1, gdim});
// Shape of data to be computed and returned, and create
std::size_t num_vertices = tdim + 1;
py::array_t<double, py::array::c_style> vertex_values({num_vertices,
num_components});
// Call UFC function
instance.interpolate_vertex_values(vertex_values.mutable_data(),
dof_values.data(),
coordinate_dofs.data(),
cell_orientation, nullptr);
return vertex_values;
}
py::array_t<double> tabulate_dof_coordinates(ufc::finite_element &instance,
py::array_t<double> coordinate_dofs)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t tdim = instance.topological_dimension();
const std::size_t num_dofs = instance.space_dimension();
//const std::size_t num_components = instance.value_size();
// Extract coordinate data (coordinate_dofs)
py::buffer_info info_coordinate_dofs = coordinate_dofs.request();
// FIXME: this assumes an affine map
check_array_shape(coordinate_dofs, {tdim + 1, gdim});
// Shape of data to be computed and returned, and create
py::array_t<double, py::array::c_style> coords({num_dofs, gdim});
// Call UFC function
instance.tabulate_dof_coordinates(coords.mutable_data(),
coordinate_dofs.data(), nullptr);
return coords;
}
py::array_t<double>
tabulate_reference_dof_coordinates(ufc::finite_element &instance)
{
// Dimensions
const std::size_t gdim = instance.geometric_dimension();
const std::size_t num_dofs = instance.space_dimension();
// Shape of data to be computed and returned, and create
py::array_t<double, py::array::c_style> coords({num_dofs, gdim});
// Call UFC function
instance.tabulate_reference_dof_coordinates(coords.mutable_data());
return coords;
}
}
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