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// Copyright (C) 2017-2021 Chris Richardson and Garth N. Wells
//
// This file is part of DOLFINx (https://www.fenicsproject.org)
//
// SPDX-License-Identifier: LGPL-3.0-or-later
#include "array.h"
#include "pycoeff.h"
#include <array>
#include <complex>
#include <cstdint>
#include <dolfinx/common/IndexMap.h>
#include <dolfinx/fem/DirichletBC.h>
#include <dolfinx/fem/DofMap.h>
#include <dolfinx/fem/FiniteElement.h>
#include <dolfinx/fem/Form.h>
#include <dolfinx/fem/FunctionSpace.h>
#include <dolfinx/fem/assembler.h>
#include <dolfinx/fem/discreteoperators.h>
#include <dolfinx/fem/sparsitybuild.h>
#include <dolfinx/fem/utils.h>
#include <dolfinx/la/MatrixCSR.h>
#include <dolfinx/la/SparsityPattern.h>
#include <dolfinx/mesh/Mesh.h>
#include <memory>
#include <nanobind/nanobind.h>
#include <nanobind/ndarray.h>
#include <nanobind/operators.h>
#include <nanobind/stl/array.h>
#include <nanobind/stl/complex.h>
#include <nanobind/stl/function.h>
#include <nanobind/stl/map.h>
#include <nanobind/stl/optional.h>
#include <nanobind/stl/pair.h>
#include <nanobind/stl/shared_ptr.h>
#include <nanobind/stl/tuple.h>
#include <nanobind/stl/vector.h>
#include <span>
#include <string>
#include <utility>
namespace nb = nanobind;
namespace
{
template <typename U>
dolfinx::la::SparsityPattern
create_sparsity(const dolfinx::fem::FunctionSpace<U>& V0,
const dolfinx::fem::FunctionSpace<U>& V1)
{
assert(V0.mesh());
auto mesh = V0.mesh();
assert(V1.mesh());
assert(mesh == V1.mesh());
MPI_Comm comm = mesh->comm();
auto dofmap0 = V0.dofmap();
assert(dofmap0);
auto dofmap1 = V1.dofmap();
assert(dofmap1);
// Create and build sparsity pattern
assert(dofmap0->index_map);
assert(dofmap1->index_map);
dolfinx::la::SparsityPattern sp(
comm, {dofmap1->index_map, dofmap0->index_map},
{dofmap1->index_map_bs(), dofmap0->index_map_bs()});
int tdim = mesh->topology()->dim();
auto map = mesh->topology()->index_map(tdim);
assert(map);
std::vector<std::int32_t> c(map->size_local(), 0);
std::iota(c.begin(), c.end(), 0);
dolfinx::fem::sparsitybuild::cells(sp, {c, c}, {*dofmap1, *dofmap0});
sp.finalize();
return sp;
}
// Declare assembler function that have multiple scalar types
template <typename T, typename U>
void declare_discrete_operators(nb::module_& m)
{
m.def("interpolation_matrix",
[](const dolfinx::fem::FunctionSpace<U>& V0,
const dolfinx::fem::FunctionSpace<U>& V1)
{
// Create sparsity
auto sp = create_sparsity(V0, V1);
// Build operator
dolfinx::la::MatrixCSR<T> A(sp);
auto [bs0, bs1] = A.block_size();
if (bs0 == 1 and bs1 == 1)
{
dolfinx::fem::interpolation_matrix<T, U>(
V0, V1, A.template mat_set_values<1, 1>());
}
else if (bs0 == 2 and bs1 == 1)
{
dolfinx::fem::interpolation_matrix<T, U>(
V0, V1, A.template mat_set_values<2, 1>());
}
else if (bs0 == 1 and bs1 == 2)
{
dolfinx::fem::interpolation_matrix<T, U>(
V0, V1, A.template mat_set_values<1, 2>());
}
else if (bs0 == 2 and bs1 == 2)
{
dolfinx::fem::interpolation_matrix<T, U>(
V0, V1, A.template mat_set_values<2, 2>());
}
else if (bs0 == 3 and bs1 == 1)
{
dolfinx::fem::interpolation_matrix<T, U>(
V0, V1, A.template mat_set_values<3, 1>());
}
else if (bs0 == 1 and bs1 == 3)
{
dolfinx::fem::interpolation_matrix<T, U>(
V0, V1, A.template mat_set_values<1, 3>());
}
else if (bs0 == 3 and bs1 == 3)
{
dolfinx::fem::interpolation_matrix<T, U>(
V0, V1, A.template mat_set_values<3, 3>());
}
else
{
throw std::runtime_error(
"Interpolation matrix not supported between block sizes "
+ std::to_string(bs0) + " and " + std::to_string(bs1));
}
return A;
});
m.def(
"discrete_gradient",
[](const dolfinx::fem::FunctionSpace<U>& V0,
const dolfinx::fem::FunctionSpace<U>& V1)
{
auto sp = create_sparsity(V0, V1);
// Build operator
dolfinx::la::MatrixCSR<T> A(sp);
dolfinx::fem::discrete_gradient<T, U>(
*V0.mesh()->topology_mutable(), {*V0.element(), *V0.dofmap()},
{*V1.element(), *V1.dofmap()}, A.mat_set_values());
return A;
},
nb::arg("V0"), nb::arg("V1"));
}
// Declare assembler function that have multiple scalar types
template <typename T, typename U>
void declare_assembly_functions(nb::module_& m)
{
// Coefficient/constant packing
m.def(
"pack_coefficients",
[](const dolfinx::fem::Form<T, U>& form)
{
using Key_t = typename std::pair<dolfinx::fem::IntegralType, int>;
// Pack coefficients
std::map<Key_t, std::pair<std::vector<T>, int>> coeffs
= dolfinx::fem::allocate_coefficient_storage(form);
dolfinx::fem::pack_coefficients(form, coeffs);
// Move into NumPy data structures
std::map<Key_t, nb::ndarray<T, nb::numpy>> c;
std::ranges::transform(
coeffs, std::inserter(c, c.end()),
[](auto& e) -> typename decltype(c)::value_type
{
std::size_t num_ents
= e.second.first.empty()
? 0
: e.second.first.size() / e.second.second;
return std::pair<const std::pair<dolfinx::fem::IntegralType, int>,
nb::ndarray<T, nb::numpy>>(
e.first,
dolfinx_wrappers::as_nbarray(
std::move(e.second.first),
{num_ents, static_cast<std::size_t>(e.second.second)}));
});
return c;
},
nb::arg("form"), "Pack coefficients for a Form.");
m.def(
"pack_constants",
[](const dolfinx::fem::Form<T, U>& form)
{
return dolfinx_wrappers::as_nbarray(dolfinx::fem::pack_constants(form));
},
nb::arg("form"), "Pack constants for a Form.");
m.def(
"pack_constants", [](const dolfinx::fem::Expression<T, U>& e)
{ return dolfinx_wrappers::as_nbarray(dolfinx::fem::pack_constants(e)); },
nb::arg("e"), "Pack constants for an Expression.");
// Functional
m.def(
"assemble_scalar",
[](const dolfinx::fem::Form<T, U>& M,
nb::ndarray<const T, nb::ndim<1>, nb::c_contig> constants,
const std::map<std::pair<dolfinx::fem::IntegralType, int>,
nb::ndarray<const T, nb::ndim<2>, nb::c_contig>>&
coefficients)
{
return dolfinx::fem::assemble_scalar<T>(
M, std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients));
},
nb::arg("M"), nb::arg("constants"), nb::arg("coefficients"),
"Assemble functional over mesh with provided constants and "
"coefficients");
// Vector
m.def(
"assemble_vector",
[](nb::ndarray<T, nb::ndim<1>, nb::c_contig> b,
const dolfinx::fem::Form<T, U>& L,
nb::ndarray<const T, nb::ndim<1>, nb::c_contig> constants,
const std::map<std::pair<dolfinx::fem::IntegralType, int>,
nb::ndarray<const T, nb::ndim<2>, nb::c_contig>>&
coefficients)
{
dolfinx::fem::assemble_vector<T>(
std::span(b.data(), b.size()), L,
std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients));
},
nb::arg("b"), nb::arg("L"), nb::arg("constants"), nb::arg("coeffs"),
"Assemble linear form into an existing vector with pre-packed constants "
"and coefficients");
// MatrixCSR
m.def(
"assemble_matrix",
[](dolfinx::la::MatrixCSR<T>& A, const dolfinx::fem::Form<T, U>& a,
nb::ndarray<const T, nb::ndim<1>, nb::c_contig> constants,
const std::map<std::pair<dolfinx::fem::IntegralType, int>,
nb::ndarray<const T, nb::ndim<2>, nb::c_contig>>&
coefficients,
const std::vector<
std::shared_ptr<const dolfinx::fem::DirichletBC<T, U>>>& bcs)
{
const std::array<int, 2> data_bs
= {a.function_spaces().at(0)->dofmap()->index_map_bs(),
a.function_spaces().at(1)->dofmap()->index_map_bs()};
if (data_bs[0] != data_bs[1])
throw std::runtime_error(
"Non-square blocksize unsupported in Python");
if (data_bs[0] == 1)
{
dolfinx::fem::assemble_matrix(
A.mat_add_values(), a,
std::span<const T>(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients), bcs);
}
else if (data_bs[0] == 2)
{
auto mat_add = A.template mat_add_values<2, 2>();
dolfinx::fem::assemble_matrix(
mat_add, a, std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients), bcs);
}
else if (data_bs[0] == 3)
{
auto mat_add = A.template mat_add_values<3, 3>();
dolfinx::fem::assemble_matrix(
mat_add, a, std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients), bcs);
}
else if (data_bs[0] == 4)
{
auto mat_add = A.template mat_add_values<4, 4>();
dolfinx::fem::assemble_matrix(
mat_add, a, std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients), bcs);
}
else if (data_bs[0] == 5)
{
auto mat_add = A.template mat_add_values<5, 5>();
dolfinx::fem::assemble_matrix(
mat_add, a, std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients), bcs);
}
else if (data_bs[0] == 6)
{
auto mat_add = A.template mat_add_values<6, 6>();
dolfinx::fem::assemble_matrix(
mat_add, a, std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients), bcs);
}
else if (data_bs[0] == 7)
{
auto mat_add = A.template mat_add_values<7, 7>();
dolfinx::fem::assemble_matrix(
mat_add, a, std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients), bcs);
}
else if (data_bs[0] == 8)
{
auto mat_add = A.template mat_add_values<8, 8>();
dolfinx::fem::assemble_matrix(
mat_add, a, std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients), bcs);
}
else if (data_bs[0] == 9)
{
auto mat_add = A.template mat_add_values<9, 9>();
dolfinx::fem::assemble_matrix(
mat_add, a, std::span(constants.data(), constants.size()),
py_to_cpp_coeffs(coefficients), bcs);
}
else
throw std::runtime_error("Block size not supported in Python");
},
nb::arg("A"), nb::arg("a"), nb::arg("constants"), nb::arg("coeffs"),
nb::arg("bcs"), "Experimental.");
m.def(
"insert_diagonal",
[](dolfinx::la::MatrixCSR<T>& A, const dolfinx::fem::FunctionSpace<U>& V,
const std::vector<
std::shared_ptr<const dolfinx::fem::DirichletBC<T, U>>>& bcs,
T diagonal)
{
// NB block size of data ("diagonal") is (1, 1)
dolfinx::fem::set_diagonal(A.mat_set_values(), V, bcs, diagonal);
},
nb::arg("A"), nb::arg("V"), nb::arg("bcs"), nb::arg("diagonal"),
"Experimental.");
m.def(
"insert_diagonal",
[](dolfinx::la::MatrixCSR<T>& A,
nb::ndarray<const std::int32_t, nb::ndim<1>, nb::c_contig> rows,
T diagonal)
{
dolfinx::fem::set_diagonal(
A.mat_set_values(), std::span(rows.data(), rows.size()), diagonal);
},
nb::arg("A"), nb::arg("rows"), nb::arg("diagonal"), "Experimental.");
m.def(
"assemble_matrix",
[](std::function<int(
nb::ndarray<const std::int32_t, nb::ndim<1>, nb::c_contig,
nb::numpy>,
nb::ndarray<const std::int32_t, nb::ndim<1>, nb::c_contig,
nb::numpy>,
nb::ndarray<const T, nb::ndim<2>, nb::c_contig, nb::numpy>)>
fin,
const dolfinx::fem::Form<T, U>& form,
const std::vector<
std::shared_ptr<const dolfinx::fem::DirichletBC<T, U>>>& bcs)
{
auto f = [&fin](std::span<const std::int32_t> rows,
std::span<const std::int32_t> cols,
std::span<const T> data)
{
return fin(
nb::ndarray<const std::int32_t, nb::ndim<1>, nb::c_contig,
nb::numpy>(rows.data(), {rows.size()}, nb::handle()),
nb::ndarray<const std::int32_t, nb::ndim<1>, nb::c_contig,
nb::numpy>(cols.data(), {cols.size()}, nb::handle()),
nb::ndarray<const T, nb::ndim<2>, nb::c_contig, nb::numpy>(
data.data(), {data.size()}, nb::handle()));
};
dolfinx::fem::assemble_matrix(f, form, bcs);
},
nb::arg("fin"), nb::arg("form"), nb::arg("bcs"),
"Experimental assembly with Python insertion function. This will be "
"slow. Use for testing only.");
// BC modifiers
m.def(
"apply_lifting",
[](nb::ndarray<T, nb::ndim<1>, nb::c_contig> b,
const std::vector<std::shared_ptr<const dolfinx::fem::Form<T, U>>>& a,
const std::vector<nb::ndarray<const T, nb::ndim<1>, nb::c_contig>>&
constants,
const std::vector<
std::map<std::pair<dolfinx::fem::IntegralType, int>,
nb::ndarray<const T, nb::ndim<2>, nb::c_contig>>>& coeffs,
const std::vector<std::vector<
std::shared_ptr<const dolfinx::fem::DirichletBC<T, U>>>>& bcs1,
const std::vector<nb::ndarray<const T, nb::ndim<1>, nb::c_contig>>& x0,
T alpha)
{
std::vector<std::span<const T>> _x0;
for (auto x : x0)
_x0.emplace_back(x.data(), x.size());
std::vector<std::span<const T>> _constants;
std::ranges::transform(
constants, std::back_inserter(_constants),
[](auto& c) { return std::span<const T>(c.data(), c.size()); });
std::vector<std::map<std::pair<dolfinx::fem::IntegralType, int>,
std::pair<std::span<const T>, int>>>
_coeffs;
std::ranges::transform(coeffs, std::back_inserter(_coeffs),
[](auto& c) { return py_to_cpp_coeffs(c); });
dolfinx::fem::apply_lifting<T>(std::span<T>(b.data(), b.size()), a,
_constants, _coeffs, bcs1, _x0, alpha);
},
nb::arg("b").noconvert(), nb::arg("a"), nb::arg("constants"),
nb::arg("coeffs"), nb::arg("bcs1"), nb::arg("x0"), nb::arg("alpha"),
"Modify vector for lifted boundary conditions");
}
} // namespace
namespace dolfinx_wrappers
{
void assemble(nb::module_& m)
{
// dolfinx::fem::assemble
declare_assembly_functions<float, float>(m);
declare_assembly_functions<double, double>(m);
declare_assembly_functions<std::complex<float>, float>(m);
declare_assembly_functions<std::complex<double>, double>(m);
declare_discrete_operators<float, float>(m);
declare_discrete_operators<double, double>(m);
declare_discrete_operators<std::complex<float>, float>(m);
declare_discrete_operators<std::complex<double>, double>(m);
}
} // namespace dolfinx_wrappers
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