From cd653dda853802fcad0ed47237d8d674bf302c1a Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Wed, 4 Feb 2026 09:05:51 +0100 Subject: [PATCH 01/52] operators: new namespace with differential operators After this revision, it is now possible to implement 'geomertry-aware' differential operators. Before this change, since {differential.h} was within {fields}, there would be a cyclic dependency between fields->geometry->fields. --- .cmake/mito_benchmarks_mito_lib.cmake | 4 +-- .cmake/mito_tests_mito_lib.cmake | 10 ++++--- .../{fields => operators}/laplacian.cc | 8 +++--- lib/mito/fem/elements/externals.h | 3 +++ lib/mito/fem/elements/seg1/ShapeSegmentP1.h | 2 +- lib/mito/fem/elements/tri1/ShapeTriangleP1.h | 2 +- lib/mito/fem/elements/tri2/ShapeTriangleP2.h | 4 +-- lib/mito/fem/norms.h | 4 +-- lib/mito/fields/public.h | 2 -- lib/mito/operators.h | 14 ++++++++++ lib/mito/operators/api.h | 15 +++++++++++ lib/mito/{fields => operators}/differential.h | 10 +++---- lib/mito/operators/externals.h | 16 ++++++++++++ lib/mito/operators/factories.h | 15 +++++++++++ lib/mito/operators/forward.h | 16 ++++++++++++ lib/mito/operators/public.h | 26 +++++++++++++++++++ tests/mito.lib/fem/localize_field.cc | 2 +- .../integration/divergence_theorem.cc | 2 +- .../calculus_identities.cc | 6 ++--- .../calculus_scalar_field.cc | 6 ++--- .../calculus_vector_field.cc | 6 ++--- .../gradient_non_square.cc | 4 +-- 22 files changed, 141 insertions(+), 36 deletions(-) rename benchmarks/mito.lib/{fields => operators}/laplacian.cc (91%) create mode 100644 lib/mito/operators.h create mode 100644 lib/mito/operators/api.h rename lib/mito/{fields => operators}/differential.h (95%) create mode 100644 lib/mito/operators/externals.h create mode 100644 lib/mito/operators/factories.h create mode 100644 lib/mito/operators/forward.h create mode 100644 lib/mito/operators/public.h rename tests/mito.lib/{fields => operators}/calculus_identities.cc (86%) rename tests/mito.lib/{fields => operators}/calculus_scalar_field.cc (89%) rename tests/mito.lib/{fields => operators}/calculus_vector_field.cc (91%) rename tests/mito.lib/{fields => operators}/gradient_non_square.cc (95%) diff --git a/.cmake/mito_benchmarks_mito_lib.cmake b/.cmake/mito_benchmarks_mito_lib.cmake index dd48e04c..19c3b988 100644 --- a/.cmake/mito_benchmarks_mito_lib.cmake +++ b/.cmake/mito_benchmarks_mito_lib.cmake @@ -17,8 +17,8 @@ mito_benchmark_driver(benchmarks/mito.lib/tensor/wedge.cc) # integration mito_benchmark_driver(benchmarks/mito.lib/integration/integration.cc) -# fields -mito_benchmark_driver(benchmarks/mito.lib/fields/laplacian.cc) +# operators +mito_benchmark_driver(benchmarks/mito.lib/operators/laplacian.cc) if(WITH_PETSC) # poisson boundary value problem diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index c4d6f232..572f1c14 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -96,10 +96,6 @@ mito_test_driver(tests/mito.lib/tensor/tensor_product_forms.cc) # fields mito_test_driver(tests/mito.lib/fields/fields.cc) mito_test_driver(tests/mito.lib/fields/fields_traits.cc) -mito_test_driver(tests/mito.lib/fields/calculus_identities.cc) -mito_test_driver(tests/mito.lib/fields/calculus_scalar_field.cc) -mito_test_driver(tests/mito.lib/fields/calculus_vector_field.cc) -mito_test_driver(tests/mito.lib/fields/gradient_non_square.cc) mito_test_driver(tests/mito.lib/fields/polar_metric_field.cc) mito_test_driver(tests/mito.lib/fields/spherical_metric_field.cc) @@ -151,6 +147,12 @@ if(WITH_METIS) endif() endif() +# operators +mito_test_driver(tests/mito.lib/operators/calculus_identities.cc) +mito_test_driver(tests/mito.lib/operators/calculus_scalar_field.cc) +mito_test_driver(tests/mito.lib/operators/calculus_vector_field.cc) +mito_test_driver(tests/mito.lib/operators/gradient_non_square.cc) + # topology mito_test_driver(tests/mito.lib/topology/cell_edges.cc) mito_test_driver(tests/mito.lib/topology/erase_element_check_vertices.cc) diff --git a/benchmarks/mito.lib/fields/laplacian.cc b/benchmarks/mito.lib/operators/laplacian.cc similarity index 91% rename from benchmarks/mito.lib/fields/laplacian.cc rename to benchmarks/mito.lib/operators/laplacian.cc index 65c6d3b2..aed401d6 100644 --- a/benchmarks/mito.lib/fields/laplacian.cc +++ b/benchmarks/mito.lib/operators/laplacian.cc @@ -6,8 +6,8 @@ // get the benchmark library #include -// get the mito materials -#include +// get the mito differential operators +#include // the type of coordinates @@ -50,10 +50,10 @@ laplacian_mito(const coordinates_t & x) constexpr auto f = mito::functions::pow<4>(x0 * x1); // the gradient of {f} - constexpr auto gradient = mito::fields::gradient(f); + constexpr auto gradient = mito::operators::gradient(f); // the laplacian (divergence of gradient) - constexpr auto laplacian = mito::fields::divergence(gradient); + constexpr auto laplacian = mito::operators::divergence(gradient); // evaluate the laplacian at {x} auto result = laplacian(x); diff --git a/lib/mito/fem/elements/externals.h b/lib/mito/fem/elements/externals.h index a09caf75..e9eabdd5 100644 --- a/lib/mito/fem/elements/externals.h +++ b/lib/mito/fem/elements/externals.h @@ -6,5 +6,8 @@ // code guard #pragma once +// support +#include "../../operators.h" + // end of file diff --git a/lib/mito/fem/elements/seg1/ShapeSegmentP1.h b/lib/mito/fem/elements/seg1/ShapeSegmentP1.h index 978203e2..67905bdf 100644 --- a/lib/mito/fem/elements/seg1/ShapeSegmentP1.h +++ b/lib/mito/fem/elements/seg1/ShapeSegmentP1.h @@ -30,7 +30,7 @@ namespace mito::fem { // the gradients of the shape functions static constexpr auto dphi = - std::make_tuple(fields::gradient(phi_0), fields::gradient(phi_1)); + std::make_tuple(operators::gradient(phi_0), operators::gradient(phi_1)); public: // get the a-th shape function as a function of parametric coordinates diff --git a/lib/mito/fem/elements/tri1/ShapeTriangleP1.h b/lib/mito/fem/elements/tri1/ShapeTriangleP1.h index aaf64430..e143aac8 100644 --- a/lib/mito/fem/elements/tri1/ShapeTriangleP1.h +++ b/lib/mito/fem/elements/tri1/ShapeTriangleP1.h @@ -33,7 +33,7 @@ namespace mito::fem { // the gradients of the shape functions static constexpr auto dphi = std::make_tuple( - fields::gradient(phi_0), fields::gradient(phi_1), fields::gradient(phi_2)); + operators::gradient(phi_0), operators::gradient(phi_1), operators::gradient(phi_2)); public: // get the a-th shape function as a function of parametric coordinates diff --git a/lib/mito/fem/elements/tri2/ShapeTriangleP2.h b/lib/mito/fem/elements/tri2/ShapeTriangleP2.h index b51d43d0..f77df475 100644 --- a/lib/mito/fem/elements/tri2/ShapeTriangleP2.h +++ b/lib/mito/fem/elements/tri2/ShapeTriangleP2.h @@ -36,8 +36,8 @@ namespace mito::fem { // the gradients of the shape functions static constexpr auto dphi = std::make_tuple( - fields::gradient(phi_0), fields::gradient(phi_1), fields::gradient(phi_2), - fields::gradient(phi_3), fields::gradient(phi_4), fields::gradient(phi_5)); + operators::gradient(phi_0), operators::gradient(phi_1), operators::gradient(phi_2), + operators::gradient(phi_3), operators::gradient(phi_4), operators::gradient(phi_5)); public: // get the a-th shape function as a function of parametric coordinates diff --git a/lib/mito/fem/norms.h b/lib/mito/fem/norms.h index 79ea71a1..2d4ad2d1 100644 --- a/lib/mito/fem/norms.h +++ b/lib/mito/fem/norms.h @@ -59,9 +59,9 @@ namespace mito::fem { // localize {u2} on this element auto u2_local = localize(u2, element); // assemble the gradient of the solution field on this element - auto u1_local_gradient = fields::gradient(u1_local); + auto u1_local_gradient = operators::gradient(u1_local); // localize the gradient of the exact solution on this element - auto u2_local_gradient = fields::gradient(u2_local); + auto u2_local_gradient = operators::gradient(u2_local); // compute the elementary contributions to the H1 norm norm += blocks::l2_norm_block(u1_local - u2_local) .compute(element) diff --git a/lib/mito/fields/public.h b/lib/mito/fields/public.h index d5e6891d..b8592ad3 100644 --- a/lib/mito/fields/public.h +++ b/lib/mito/fields/public.h @@ -21,8 +21,6 @@ // algebraic operations on fields #include "fields_algebra.h" -// differential calculus on fields -#include "differential.h" // end of file diff --git a/lib/mito/operators.h b/lib/mito/operators.h new file mode 100644 index 00000000..a37d166d --- /dev/null +++ b/lib/mito/operators.h @@ -0,0 +1,14 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +// publish the interface +#include "operators/public.h" + + +// end of file diff --git a/lib/mito/operators/api.h b/lib/mito/operators/api.h new file mode 100644 index 00000000..a28b756e --- /dev/null +++ b/lib/mito/operators/api.h @@ -0,0 +1,15 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::operators { + +} + + +// end of file diff --git a/lib/mito/fields/differential.h b/lib/mito/operators/differential.h similarity index 95% rename from lib/mito/fields/differential.h rename to lib/mito/operators/differential.h index 4161ddf2..063957bf 100644 --- a/lib/mito/fields/differential.h +++ b/lib/mito/operators/differential.h @@ -8,10 +8,10 @@ // Differential operators on Fields -namespace mito::fields { +namespace mito::operators { // function to compute the gradient of a scalar field - template + template constexpr auto gradient(const F & field) { // the type of coordinate @@ -32,7 +32,7 @@ namespace mito::fields { } // function to compute the gradient of a vector field - template + template constexpr auto gradient(const F & field) { // the type of coordinate @@ -65,7 +65,7 @@ namespace mito::fields { } // function to compute the divergence of a vector field - template + template constexpr auto divergence(const F & field) { // the type of coordinate @@ -87,7 +87,7 @@ namespace mito::fields { } // function to compute the divergence of a tensor field - template + template constexpr auto divergence(const F & field) { // the type of coordinate diff --git a/lib/mito/operators/externals.h b/lib/mito/operators/externals.h new file mode 100644 index 00000000..b715a10f --- /dev/null +++ b/lib/mito/operators/externals.h @@ -0,0 +1,16 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +// externals + +// support +#include "../geometry.h" + + +// end of file diff --git a/lib/mito/operators/factories.h b/lib/mito/operators/factories.h new file mode 100644 index 00000000..a28b756e --- /dev/null +++ b/lib/mito/operators/factories.h @@ -0,0 +1,15 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::operators { + +} + + +// end of file diff --git a/lib/mito/operators/forward.h b/lib/mito/operators/forward.h new file mode 100644 index 00000000..93f74479 --- /dev/null +++ b/lib/mito/operators/forward.h @@ -0,0 +1,16 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::operators { + + +} + + +// end of file diff --git a/lib/mito/operators/public.h b/lib/mito/operators/public.h new file mode 100644 index 00000000..6d15c6db --- /dev/null +++ b/lib/mito/operators/public.h @@ -0,0 +1,26 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +// external packages +#include "externals.h" + +// get the forward declarations +#include "forward.h" + +// published type factories; this is the file you are looking for... +#include "api.h" + +// factories implementation +#include "factories.h" + +// differential calculus on fields +#include "differential.h" + + +// end of file diff --git a/tests/mito.lib/fem/localize_field.cc b/tests/mito.lib/fem/localize_field.cc index e1321821..956d6581 100644 --- a/tests/mito.lib/fem/localize_field.cc +++ b/tests/mito.lib/fem/localize_field.cc @@ -49,7 +49,7 @@ TEST(Fem, LocalizeField) EXPECT_DOUBLE_EQ(value, (x * y)({ 1.0 / 3.0, 1.0 / 3.0 })); // compute the gradient of the localized field with respect to the barycentric coordinates - auto gradient = mito::fields::gradient(localized_field); + auto gradient = mito::operators::gradient(localized_field); // evaluate the localized field gradient at the center of the triangle auto value_gradient = gradient({ 1.0 / 3.0, 1.0 / 3.0 }); diff --git a/tests/mito.lib/integration/divergence_theorem.cc b/tests/mito.lib/integration/divergence_theorem.cc index b9de4ead..1a1f60bd 100644 --- a/tests/mito.lib/integration/divergence_theorem.cc +++ b/tests/mito.lib/integration/divergence_theorem.cc @@ -32,7 +32,7 @@ TEST(DivergenceTheorem, Mesh2D) constexpr auto f = x0 * x1 * e0 + x0 * x0 * e1; // build a scalar field with divergence of field - constexpr auto div = mito::fields::divergence(f); + constexpr auto div = mito::operators::divergence(f); /** * Mesh with four cells: diff --git a/tests/mito.lib/fields/calculus_identities.cc b/tests/mito.lib/operators/calculus_identities.cc similarity index 86% rename from tests/mito.lib/fields/calculus_identities.cc rename to tests/mito.lib/operators/calculus_identities.cc index 60f92ff5..27b90f08 100644 --- a/tests/mito.lib/fields/calculus_identities.cc +++ b/tests/mito.lib/operators/calculus_identities.cc @@ -4,7 +4,7 @@ // #include -#include +#include // the type of coordinates @@ -43,10 +43,10 @@ TEST(Identities, DivGrad) // the divergence of the gradient transposed of {f} constexpr auto div_grad_T = - mito::fields::divergence(mito::functions::transpose(mito::fields::gradient(f))); + mito::operators::divergence(mito::functions::transpose(mito::operators::gradient(f))); // the gradient of the divergence of {f} - constexpr auto grad_div = mito::fields::gradient(mito::fields::divergence(f)); + constexpr auto grad_div = mito::operators::gradient(mito::operators::divergence(f)); // check result static_assert(div_grad_T(x) == grad_div(x)); diff --git a/tests/mito.lib/fields/calculus_scalar_field.cc b/tests/mito.lib/operators/calculus_scalar_field.cc similarity index 89% rename from tests/mito.lib/fields/calculus_scalar_field.cc rename to tests/mito.lib/operators/calculus_scalar_field.cc index 63656e72..ba8ff9af 100644 --- a/tests/mito.lib/fields/calculus_scalar_field.cc +++ b/tests/mito.lib/operators/calculus_scalar_field.cc @@ -4,7 +4,7 @@ // #include -#include +#include // the type of coordinates @@ -34,7 +34,7 @@ TEST(Laplacian, ScalarFields) constexpr auto f = sin(x0 * x1); // the gradient of {f} - constexpr auto gradient = mito::fields::gradient(f); + constexpr auto gradient = mito::operators::gradient(f); // a point in space constexpr auto x = mito::geometry::coordinates({ pi_sixth, 1.0 }); @@ -43,7 +43,7 @@ TEST(Laplacian, ScalarFields) static_assert(gradient(x) == (cos(x0 * x1) * x1 * e_0 + cos(x0 * x1) * x0 * e_1)(x)); // the laplacian (divergence of gradient) - constexpr auto laplacian = mito::fields::divergence(gradient); + constexpr auto laplacian = mito::operators::divergence(gradient); // check result static_assert(laplacian(x) == (-sin(x0 * x1) * x1 * x1 - sin(x0 * x1) * x0 * x0)(x)); diff --git a/tests/mito.lib/fields/calculus_vector_field.cc b/tests/mito.lib/operators/calculus_vector_field.cc similarity index 91% rename from tests/mito.lib/fields/calculus_vector_field.cc rename to tests/mito.lib/operators/calculus_vector_field.cc index 03020c49..9e873f63 100644 --- a/tests/mito.lib/fields/calculus_vector_field.cc +++ b/tests/mito.lib/operators/calculus_vector_field.cc @@ -4,7 +4,7 @@ // #include -#include +#include // the type of coordinates @@ -48,7 +48,7 @@ TEST(Laplacian, VectorFields) constexpr auto x = mito::geometry::coordinates({ pi_sixth, pi_fourth }); // the gradient of {g} - constexpr auto gradient = mito::fields::gradient(g); + constexpr auto gradient = mito::operators::gradient(g); // check result static_assert( @@ -57,7 +57,7 @@ TEST(Laplacian, VectorFields) - sin(x0 * x1) * x0 * e_11)(x)); // the laplacian (divergence of gradient) - constexpr auto laplacian = mito::fields::divergence(gradient); + constexpr auto laplacian = mito::operators::divergence(gradient); // check result static_assert(laplacian(x) == (-(x0 * x0 + x1 * x1) * g)(x)); diff --git a/tests/mito.lib/fields/gradient_non_square.cc b/tests/mito.lib/operators/gradient_non_square.cc similarity index 95% rename from tests/mito.lib/fields/gradient_non_square.cc rename to tests/mito.lib/operators/gradient_non_square.cc index 94c6a042..4645bbb4 100644 --- a/tests/mito.lib/fields/gradient_non_square.cc +++ b/tests/mito.lib/operators/gradient_non_square.cc @@ -4,7 +4,7 @@ // #include -#include +#include // the type of coordinates @@ -53,7 +53,7 @@ TEST(Gradient, NonSquare) constexpr auto x = mito::geometry::coordinates({ pi_sixth, pi_fourth, 1.0 }); // the gradient of {f} - constexpr auto gradient = mito::fields::gradient(f); + constexpr auto gradient = mito::operators::gradient(f); // create a channel journal::info_t channel("tests.gradient_non_square"); From 8aca8435ec8d9975a5214137cfd359f286d52e3d Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Wed, 4 Feb 2026 09:12:03 +0100 Subject: [PATCH 02/52] utilities: add {unordered_map} stl header --- lib/mito/utilities/externals.h | 1 + 1 file changed, 1 insertion(+) diff --git a/lib/mito/utilities/externals.h b/lib/mito/utilities/externals.h index 53b64ecb..970be342 100644 --- a/lib/mito/utilities/externals.h +++ b/lib/mito/utilities/externals.h @@ -18,6 +18,7 @@ #include #include #include +#include // support #include "../journal.h" From f7d92942ec5773c2c90df5795bb1637da2beab0c Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Sun, 22 Mar 2026 11:05:06 +0100 Subject: [PATCH 03/52] geometry: rename (euclidean) metric into {euclidean_metric} throughout --- lib/mito/geometry/cartesian/api.h | 5 +++-- lib/mito/geometry/cartesian/metric.h | 4 ++-- lib/mito/geometry/metric.h | 4 ++-- lib/mito/geometry/metric_space.h | 2 +- lib/mito/geometry/polar/api.h | 4 ++-- lib/mito/geometry/polar/metric.h | 4 ++-- lib/mito/geometry/spherical/api.h | 4 ++-- lib/mito/geometry/spherical/metric.h | 4 ++-- tests/mito.lib/geometry/metric.cc | 12 ++++++------ 9 files changed, 22 insertions(+), 21 deletions(-) diff --git a/lib/mito/geometry/cartesian/api.h b/lib/mito/geometry/cartesian/api.h index 25e4626b..c443956a 100644 --- a/lib/mito/geometry/cartesian/api.h +++ b/lib/mito/geometry/cartesian/api.h @@ -13,9 +13,10 @@ namespace mito::geometry::cartesian { template using coordinates_t = geometry::coordinates_t; - // the metric tensor field + // the Euclidean metric tensor field template - constexpr auto metric = geometry::metric>::field(); + constexpr auto euclidean_metric = + geometry::euclidean_metric>::field(); // factory for cartesian coordinates template diff --git a/lib/mito/geometry/cartesian/metric.h b/lib/mito/geometry/cartesian/metric.h index 15cc46e9..015b9bad 100644 --- a/lib/mito/geometry/cartesian/metric.h +++ b/lib/mito/geometry/cartesian/metric.h @@ -9,9 +9,9 @@ namespace mito::geometry { - // specialization for the Euclidean metric + // specialization for the Euclidean metric in cartesian coordinates template - struct metric> { + struct euclidean_metric> { static constexpr auto field() { // return the identity field diff --git a/lib/mito/geometry/metric.h b/lib/mito/geometry/metric.h index 78d51c24..d6499da7 100644 --- a/lib/mito/geometry/metric.h +++ b/lib/mito/geometry/metric.h @@ -9,9 +9,9 @@ namespace mito::geometry { - // the metric tensor field in {coordsT} coordinates + // the Euclidean metric tensor field in {coordsT} coordinates template - struct metric {}; + struct euclidean_metric {}; } diff --git a/lib/mito/geometry/metric_space.h b/lib/mito/geometry/metric_space.h index e6e53432..9a08ebfb 100644 --- a/lib/mito/geometry/metric_space.h +++ b/lib/mito/geometry/metric_space.h @@ -33,7 +33,7 @@ namespace mito::geometry { static constexpr auto e = basis::template e(); // the metric field in coordinates {coordinates_type} - static constexpr auto g = metric::field(); + static constexpr auto g = euclidean_metric::field(); // the inverse metric field in coordinates {coordinates_type} static constexpr auto g_inv = functions::inverse(g); diff --git a/lib/mito/geometry/polar/api.h b/lib/mito/geometry/polar/api.h index da879ae1..3000d8ba 100644 --- a/lib/mito/geometry/polar/api.h +++ b/lib/mito/geometry/polar/api.h @@ -13,8 +13,8 @@ namespace mito::geometry::polar { template using coordinates_t = geometry::coordinates_t; - // the metric tensor field - constexpr auto metric = geometry::metric::field(); + // the Euclidean metric tensor field + constexpr auto euclidean_metric = geometry::euclidean_metric::field(); // factory for polar coordinates constexpr auto coordinates = &geometry::coordinates; diff --git a/lib/mito/geometry/polar/metric.h b/lib/mito/geometry/polar/metric.h index 84290211..335df53f 100644 --- a/lib/mito/geometry/polar/metric.h +++ b/lib/mito/geometry/polar/metric.h @@ -9,9 +9,9 @@ namespace mito::geometry { - // specialization for the polar metric in 2D + // specialization for the Euclidean metric in polar coordinates template <> - struct metric { + struct euclidean_metric { static constexpr auto field() { // the function extracting the x_0 component of a 2D vector diff --git a/lib/mito/geometry/spherical/api.h b/lib/mito/geometry/spherical/api.h index cd405497..88c704a4 100644 --- a/lib/mito/geometry/spherical/api.h +++ b/lib/mito/geometry/spherical/api.h @@ -13,8 +13,8 @@ namespace mito::geometry::spherical { template using coordinates_t = geometry::coordinates_t; - // the metric tensor field - constexpr auto metric = geometry::metric::field(); + // the Euclidean metric tensor field + constexpr auto euclidean_metric = geometry::euclidean_metric::field(); // factory for spherical coordinates constexpr auto coordinates = &geometry::coordinates; diff --git a/lib/mito/geometry/spherical/metric.h b/lib/mito/geometry/spherical/metric.h index f548b489..a50a4ae6 100644 --- a/lib/mito/geometry/spherical/metric.h +++ b/lib/mito/geometry/spherical/metric.h @@ -9,9 +9,9 @@ namespace mito::geometry { - // specialization for the spherical metric in 3D + // specialization for the Euclidean metric in spherical coordinates template <> - struct metric { + struct euclidean_metric { static constexpr auto field() { // the function extracting the x_0 component of a 3D vector diff --git a/tests/mito.lib/geometry/metric.cc b/tests/mito.lib/geometry/metric.cc index 572ed73f..f63159ff 100644 --- a/tests/mito.lib/geometry/metric.cc +++ b/tests/mito.lib/geometry/metric.cc @@ -12,8 +12,8 @@ TEST(Metric, Cartesian) // a point in space constexpr auto point = mito::geometry::cartesian::coordinates<2>({ 2.0, 1.0 }); - // the Euclidean metric - constexpr auto euclidean_metric = mito::geometry::cartesian::metric<2>; + // the Euclidean metric in cartesian coordinates + constexpr auto euclidean_metric = mito::geometry::cartesian::euclidean_metric<2>; // check that the metric field at a point is the identity static_assert(euclidean_metric(point) == mito::tensor::diagonal_matrix_t<2>({ 1.0, 1.0 })); @@ -27,8 +27,8 @@ TEST(Metric, Polar) // a point in space constexpr auto point = mito::geometry::polar::coordinates({ r, 3.0 }); - // the polar metric - constexpr auto polar_metric = mito::geometry::polar::metric; + // the Euclidean metric in polar coordinates + constexpr auto polar_metric = mito::geometry::polar::euclidean_metric; // check that the metric field at a point is e_rr + r^2 e_tt static_assert(polar_metric(point) == mito::tensor::diagonal_matrix_t<2>({ 1.0, r * r })); @@ -44,8 +44,8 @@ TEST(Metric, Spherical) // a point in space constexpr auto point = mito::geometry::spherical::coordinates({ r, theta, 3.0 }); - // the spherical metric - constexpr auto spherical_metric = mito::geometry::spherical::metric; + // the Euclidean metric in spherical coordinates + constexpr auto spherical_metric = mito::geometry::spherical::euclidean_metric; // check that the metric field at a point is e_rr + r^2 e_tt + r^2 * sin^2(t) * e_pp static_assert( From 295e58c55ac2c001cfe826ff8b1c08fefea1436f Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Sun, 22 Mar 2026 11:16:32 +0100 Subject: [PATCH 04/52] geometry: cleanup redundancy in {coordinates_t} definition in api --- lib/mito/geometry/cartesian/api.h | 2 +- lib/mito/geometry/polar/api.h | 5 ++--- lib/mito/geometry/spherical/api.h | 5 ++--- 3 files changed, 5 insertions(+), 7 deletions(-) diff --git a/lib/mito/geometry/cartesian/api.h b/lib/mito/geometry/cartesian/api.h index c443956a..5dd64efd 100644 --- a/lib/mito/geometry/cartesian/api.h +++ b/lib/mito/geometry/cartesian/api.h @@ -11,7 +11,7 @@ namespace mito::geometry::cartesian { // the type of cartesian coordinates in {D} dimensions template - using coordinates_t = geometry::coordinates_t; + using coordinates_t = cartesian_coordinates_t; // the Euclidean metric tensor field template diff --git a/lib/mito/geometry/polar/api.h b/lib/mito/geometry/polar/api.h index 3000d8ba..ba022b23 100644 --- a/lib/mito/geometry/polar/api.h +++ b/lib/mito/geometry/polar/api.h @@ -9,9 +9,8 @@ namespace mito::geometry::polar { - // the type of cartesian coordinates in {D} dimensions - template - using coordinates_t = geometry::coordinates_t; + // polar coordinates + using coordinates_t = polar_coordinates_t; // the Euclidean metric tensor field constexpr auto euclidean_metric = geometry::euclidean_metric::field(); diff --git a/lib/mito/geometry/spherical/api.h b/lib/mito/geometry/spherical/api.h index 88c704a4..156945c6 100644 --- a/lib/mito/geometry/spherical/api.h +++ b/lib/mito/geometry/spherical/api.h @@ -9,9 +9,8 @@ namespace mito::geometry::spherical { - // the type of cartesian coordinates in {D} dimensions - template - using coordinates_t = geometry::coordinates_t; + // spherical coordinates + using coordinates_t = spherical_coordinates_t; // the Euclidean metric tensor field constexpr auto euclidean_metric = geometry::euclidean_metric::field(); From 5ba5feec13da55dd6618714bc751ddf778db5157 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Sun, 22 Mar 2026 11:34:31 +0100 Subject: [PATCH 05/52] geometry: add concept of metric being compatible with a type of coordinates --- lib/mito/geometry/forward.h | 7 +++++++ tests/mito.lib/geometry/metric.cc | 14 ++++++++++++++ 2 files changed, 21 insertions(+) diff --git a/lib/mito/geometry/forward.h b/lib/mito/geometry/forward.h index 67dee48e..f7d402c2 100644 --- a/lib/mito/geometry/forward.h +++ b/lib/mito/geometry/forward.h @@ -69,6 +69,13 @@ namespace mito::geometry { [](const PointCloud &) { }(c); }; + + // concept of a metric compatible with a given coordinate system + template + concept compatible_metric_c = + coordinates_c && requires(const metricT & g, const coordsT & x) { + { g(x) }; + }; } diff --git a/tests/mito.lib/geometry/metric.cc b/tests/mito.lib/geometry/metric.cc index f63159ff..37d6ced9 100644 --- a/tests/mito.lib/geometry/metric.cc +++ b/tests/mito.lib/geometry/metric.cc @@ -15,6 +15,11 @@ TEST(Metric, Cartesian) // the Euclidean metric in cartesian coordinates constexpr auto euclidean_metric = mito::geometry::cartesian::euclidean_metric<2>; + // check that the metric is compatible with the type of coordinates + using coordinates_type = mito::geometry::cartesian::coordinates_t<2>; + static_assert( + mito::geometry::compatible_metric_c); + // check that the metric field at a point is the identity static_assert(euclidean_metric(point) == mito::tensor::diagonal_matrix_t<2>({ 1.0, 1.0 })); } @@ -30,6 +35,10 @@ TEST(Metric, Polar) // the Euclidean metric in polar coordinates constexpr auto polar_metric = mito::geometry::polar::euclidean_metric; + // check that the metric is compatible with the type of coordinates + using coordinates_type = mito::geometry::polar::coordinates_t; + static_assert(mito::geometry::compatible_metric_c); + // check that the metric field at a point is e_rr + r^2 e_tt static_assert(polar_metric(point) == mito::tensor::diagonal_matrix_t<2>({ 1.0, r * r })); } @@ -47,6 +56,11 @@ TEST(Metric, Spherical) // the Euclidean metric in spherical coordinates constexpr auto spherical_metric = mito::geometry::spherical::euclidean_metric; + // check that the metric is compatible with the type of coordinates + using coordinates_type = mito::geometry::spherical::coordinates_t; + static_assert( + mito::geometry::compatible_metric_c); + // check that the metric field at a point is e_rr + r^2 e_tt + r^2 * sin^2(t) * e_pp static_assert( spherical_metric(point) From 6b02af034d8a0b463890e4968788aa29099aa399 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 27 Apr 2026 19:35:35 +0200 Subject: [PATCH 06/52] fem: remove unused method {parametrization} of {IsoparametricSegmentP1} --- lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h | 11 ----------- 1 file changed, 11 deletions(-) diff --git a/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h b/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h index eee35058..9893b7fc 100644 --- a/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h +++ b/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h @@ -64,17 +64,6 @@ namespace mito::fem { return _connectivity; } - // get the isoparametric mapping from parametric coordinates to physical coordinates - constexpr auto parametrization() const - { - // get the shape functions - constexpr auto phi_0 = shape_functions.shape<0>(); - constexpr auto phi_1 = shape_functions.shape<1>(); - - // return the isoparametric mapping from parametric to physical coordinates - return mito::functions::linear_combination(std::array{ _x0, _x1 }, phi_0, phi_1); - } - // get the shape function associated with local node {a} template requires(a >= 0 && a < n_nodes) From f045343e01e93d2c7dd99a47182c14a455d6777b Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 27 Apr 2026 20:00:52 +0200 Subject: [PATCH 07/52] manifolds: remove unused method {coordinates} of {Manifold} class --- lib/mito/manifolds/Manifold.h | 6 ------ 1 file changed, 6 deletions(-) diff --git a/lib/mito/manifolds/Manifold.h b/lib/mito/manifolds/Manifold.h index 55fb6bee..3fb1b0ae 100644 --- a/lib/mito/manifolds/Manifold.h +++ b/lib/mito/manifolds/Manifold.h @@ -77,12 +77,6 @@ namespace mito::manifolds { constexpr auto nElements() const noexcept -> int { return std::size(_mesh.cells()); } - constexpr auto coordinates(const node_type & v) const -> const coordinates_type & - { - // get the coordinates of the point attached to vertex {v} - return _coordinate_system.coordinates(v->point()); - } - constexpr auto print() const -> void { // make a channel From e75d529a53dbfb030d953c3fcaf7defdcd3736f6 Mon Sep 17 00:00:00 2001 From: Pawel024 Date: Tue, 31 Mar 2026 17:28:41 +0200 Subject: [PATCH 08/52] coordinates: publish the size of the underlying array in Coordinates.h --- lib/mito/coordinates/Coordinates.h | 2 ++ 1 file changed, 2 insertions(+) diff --git a/lib/mito/coordinates/Coordinates.h b/lib/mito/coordinates/Coordinates.h index 73f7d8b4..c41607a2 100644 --- a/lib/mito/coordinates/Coordinates.h +++ b/lib/mito/coordinates/Coordinates.h @@ -38,6 +38,8 @@ namespace mito::geometry { using coordinates_type = Coordinates; // publish the dimension of the physical space static constexpr int dim = D; + // publish the size of the underlying array + static constexpr int size = array_t::size; public: // default constructor From 213785e5ac96eb2a1b9b4b2e91eb9cd67694ce1b Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Fri, 1 May 2026 21:22:42 +0200 Subject: [PATCH 09/52] tests/fem: adjust check of gradient vector in test gradient consistency Vectors of one component no longer cast to their atomic type after rev. 7736bfe of {pyre/tensor}. --- tests/mito.lib/fem/isoparametric_segment.cc | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/tests/mito.lib/fem/isoparametric_segment.cc b/tests/mito.lib/fem/isoparametric_segment.cc index 257f3456..cdd98bbe 100644 --- a/tests/mito.lib/fem/isoparametric_segment.cc +++ b/tests/mito.lib/fem/isoparametric_segment.cc @@ -78,8 +78,8 @@ test_gradient_consistency(const auto & element) return ((element.template gradient()(xi)) + ...); })(element, xi, mito::tensor::make_integer_sequence{}); - // check the sum of the shape functions gradients - EXPECT_NEAR(0.0, sum, 3.0e-16); + // check that the sum of the shape functions gradients is the zero vector + EXPECT_NEAR(0.0, mito::tensor::norm(sum), 3.0e-16); }); // all done From 9ecf38e5c1d044d8bd8e7e072e781ff9372d73fb Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 08:59:57 +0200 Subject: [PATCH 10/52] tests/geometry: add test of euclidean metric in 1D Trivial but had to be done. --- .cmake/mito_tests_mito_lib.cmake | 1 + .../mito.lib/geometry/euclidean_metric_1D.cc | 64 +++++++++++++++++++ 2 files changed, 65 insertions(+) create mode 100644 tests/mito.lib/geometry/euclidean_metric_1D.cc diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index 572f1c14..79f33620 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -28,6 +28,7 @@ mito_test_driver(tests/mito.lib/geometry/barycenter_triangle_3D.cc) mito_test_driver(tests/mito.lib/geometry/barycenter_tetrahedron_3D.cc) mito_test_driver(tests/mito.lib/geometry/cell_directors.cc) mito_test_driver(tests/mito.lib/geometry/point.cc) +mito_test_driver(tests/mito.lib/geometry/euclidean_metric_1D.cc) mito_test_driver(tests/mito.lib/geometry/euclidean_metric_2D.cc) mito_test_driver(tests/mito.lib/geometry/euclidean_metric_3D.cc) mito_test_driver(tests/mito.lib/geometry/euclidean_submanifold_metric_3D.cc) diff --git a/tests/mito.lib/geometry/euclidean_metric_1D.cc b/tests/mito.lib/geometry/euclidean_metric_1D.cc new file mode 100644 index 00000000..8b89d741 --- /dev/null +++ b/tests/mito.lib/geometry/euclidean_metric_1D.cc @@ -0,0 +1,64 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +#include +#include + + +// cartesian coordinates in 1D +using coordinates_t = mito::geometry::coordinates_t<1, mito::geometry::CARTESIAN>; + +// the basis for vector fields +static constexpr auto e_x = mito::tensor::e_0<1>; + + +auto +area( + const auto & w, const mito::geometry::coordinate_system_t & coordinate_system, + const mito::geometry::node_t<1> & v0, const mito::geometry::node_t<1> & v1) + -> mito::tensor::scalar_t +{ + // get vertex coordinates + auto x0 = coordinate_system.coordinates(v0->point()); + auto x1 = coordinate_system.coordinates(v1->point()); + + // build director vectors + auto director0 = x1 - x0; + + // compute length of segment + auto length = w(director0); + + // all done + return length; +} + + +TEST(Tensor, EuclideanMetric1D) +{ + // the basis one-forms + constexpr auto dx = mito::tensor::one_form(e_x); + + // assert that at a(ny) point the basis for one-forms is dual to that of vectors + static_assert(dx(e_x) == 1.0); + + // the metric volume element + constexpr auto w = dx; + + // the coordinate system + auto coord_system = mito::geometry::coordinate_system(); + + // build nodes of a segment + auto node_0 = mito::geometry::node(coord_system, { 0.0 }); + auto node_1 = mito::geometry::node(coord_system, { 1.0 }); + + // check that even permutations of the vertices give a positive area + EXPECT_DOUBLE_EQ(area(w, coord_system, node_0, node_1), 1.0); + + // check that odd permutations of the vertices give a negative area + EXPECT_DOUBLE_EQ(area(w, coord_system, node_1, node_0), -1.0); +} + + +// end of file From 1cfaff8724fe25866c5bba0a44e2d2affa996175 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 13:53:29 +0200 Subject: [PATCH 11/52] =?UTF-8?q?tests/fem:=20remove=C2=A0test=20{localize?= =?UTF-8?q?=5Ffield}?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The first half of this test is trivial; the other half follows an incorrect logic. In fact this test checks that the gradient in parametric space equals the gradient in cartesian space, which of course is not true in general. --- .cmake/mito_tests_mito_lib.cmake | 1 - tests/mito.lib/fem/localize_field.cc | 66 ---------------------------- 2 files changed, 67 deletions(-) delete mode 100644 tests/mito.lib/fem/localize_field.cc diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index 79f33620..7282db14 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -54,7 +54,6 @@ mito_test_driver(tests/mito.lib/fem/shape_functions_triangle_construction.cc) mito_test_driver(tests/mito.lib/fem/shape_functions_triangle_p1.cc) mito_test_driver(tests/mito.lib/fem/shape_functions_triangle_p2.cc) mito_test_driver(tests/mito.lib/fem/isoparametric_triangle.cc) -mito_test_driver(tests/mito.lib/fem/localize_field.cc) mito_test_driver(tests/mito.lib/fem/fem_field.cc) mito_test_driver(tests/mito.lib/fem/shape_functions_segment_p1.cc) mito_test_driver(tests/mito.lib/fem/isoparametric_segment.cc) diff --git a/tests/mito.lib/fem/localize_field.cc b/tests/mito.lib/fem/localize_field.cc deleted file mode 100644 index 956d6581..00000000 --- a/tests/mito.lib/fem/localize_field.cc +++ /dev/null @@ -1,66 +0,0 @@ -// -*- c++ -*- -// -// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved -// - -#include -#include - - -// cartesian coordinates in 2D -using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; -// the type of coordinate system -using coord_system_t = mito::geometry::coordinate_system_t; -// the x scalar field in 2D -constexpr auto x = mito::functions::component; -// the y scalar field in 2D -constexpr auto y = mito::functions::component; - - -TEST(Fem, LocalizeField) -{ - // create a channel - journal::info_t channel("tests.localize_field"); - - // the coordinate system - auto coord_system = coord_system_t(); - - // create a field - auto field = x * y; - - // create some nodes - auto node_0 = mito::geometry::node(coord_system, { 1.0, 0.0 }); - auto node_1 = mito::geometry::node(coord_system, { 0.0, 1.0 }); - auto node_2 = mito::geometry::node(coord_system, { 0.0, 0.0 }); - - // create a geometric simplex - auto geometric_simplex = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); - - // an isoparametric triangle - auto element = mito::fem::IsoparametricTriangle(geometric_simplex, coord_system); - - // localize the field on the simplex - auto localized_field = mito::fem::localize(field, element); - - // evaluate the localized field at the center of the triangle - auto value = localized_field({ 1.0 / 3.0, 1.0 / 3.0 }); - - // check the value - EXPECT_DOUBLE_EQ(value, (x * y)({ 1.0 / 3.0, 1.0 / 3.0 })); - - // compute the gradient of the localized field with respect to the barycentric coordinates - auto gradient = mito::operators::gradient(localized_field); - - // evaluate the localized field gradient at the center of the triangle - auto value_gradient = gradient({ 1.0 / 3.0, 1.0 / 3.0 }); - - // check the value of the gradient at the center of the triangle - EXPECT_DOUBLE_EQ(value_gradient[0], y({ 1.0 / 3.0, 1.0 / 3.0 })); - EXPECT_DOUBLE_EQ(value_gradient[1], x({ 1.0 / 3.0, 1.0 / 3.0 })); - - // all done - return; -} - - -// end of file \ No newline at end of file From 95bd94d93a595f7d7304466b00aa021e754556f2 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 14:04:35 +0200 Subject: [PATCH 12/52] fem: fix segment orientation by correcting parametric coordinate ordering Align parametric coordinates with the standard reference-space convention. --- lib/mito/fem/elements/seg1/ShapeSegmentP1.h | 5 +++-- lib/mito/fem/elements/tri1/ShapeTriangleP1.h | 2 +- lib/mito/fem/elements/tri2/ShapeTriangleP2.h | 2 +- lib/mito/geometry/ReferenceSimplex.h | 15 ++++++++------- tests/mito.lib/fem/shape_functions_triangle_p1.cc | 6 +++--- tests/mito.lib/fem/shape_functions_triangle_p2.cc | 12 ++++++------ 6 files changed, 22 insertions(+), 20 deletions(-) diff --git a/lib/mito/fem/elements/seg1/ShapeSegmentP1.h b/lib/mito/fem/elements/seg1/ShapeSegmentP1.h index 67905bdf..16a06eb2 100644 --- a/lib/mito/fem/elements/seg1/ShapeSegmentP1.h +++ b/lib/mito/fem/elements/seg1/ShapeSegmentP1.h @@ -20,10 +20,11 @@ namespace mito::fem { private: // linear shape functions on the reference segment in parametric coordinates static constexpr auto xi_0 = reference_element_type::xi<0>; + static constexpr auto xi_1 = reference_element_type::xi<1>; // linear shape functions on the segment - static constexpr auto phi_0 = 1.0 - xi_0; - static constexpr auto phi_1 = xi_0; + static constexpr auto phi_0 = xi_0; + static constexpr auto phi_1 = xi_1; // the shape functions static constexpr auto phi = std::make_tuple(phi_0, phi_1); diff --git a/lib/mito/fem/elements/tri1/ShapeTriangleP1.h b/lib/mito/fem/elements/tri1/ShapeTriangleP1.h index e143aac8..901bf01b 100644 --- a/lib/mito/fem/elements/tri1/ShapeTriangleP1.h +++ b/lib/mito/fem/elements/tri1/ShapeTriangleP1.h @@ -21,7 +21,7 @@ namespace mito::fem { // linear shape functions on the reference triangle in parametric coordinates static constexpr auto xi_0 = reference_element_type::xi<0>; static constexpr auto xi_1 = reference_element_type::xi<1>; - static constexpr auto xi_2 = 1.0 - xi_0 - xi_1; + static constexpr auto xi_2 = reference_element_type::xi<2>; // linear shape functions on the triangle static constexpr auto phi_0 = xi_0; diff --git a/lib/mito/fem/elements/tri2/ShapeTriangleP2.h b/lib/mito/fem/elements/tri2/ShapeTriangleP2.h index f77df475..90843797 100644 --- a/lib/mito/fem/elements/tri2/ShapeTriangleP2.h +++ b/lib/mito/fem/elements/tri2/ShapeTriangleP2.h @@ -21,7 +21,7 @@ namespace mito::fem { // get the parametric coordinates from the reference element static constexpr auto xi_0 = reference_element_type::xi<0>; static constexpr auto xi_1 = reference_element_type::xi<1>; - static constexpr auto xi_2 = 1.0 - xi_0 - xi_1; + static constexpr auto xi_2 = reference_element_type::xi<2>; // quadratic shape functions on the triangle static constexpr auto phi_3 = 4.0 * xi_0 * xi_1; diff --git a/lib/mito/geometry/ReferenceSimplex.h b/lib/mito/geometry/ReferenceSimplex.h index a565c15f..690b699b 100644 --- a/lib/mito/geometry/ReferenceSimplex.h +++ b/lib/mito/geometry/ReferenceSimplex.h @@ -23,22 +23,23 @@ namespace mito::geometry { template static constexpr auto _one_minus_xis(tensor::integer_sequence) { - return (1.0 - ... - xi); + return 1.0 - (functions::component + ...); } public: // the type of coordinates in the parametric space using parametric_coordinates_type = coordinates_t; - // the function extracting the I component of a parametric point + // the parametric coordinates template static constexpr auto xi = [] { - if constexpr (I < N) { - // I-th parametric coordinate - return functions::component; - } else { - // xi = 1 - xi<0> - xi<1> - ... - xi + static_assert(I >= 0 && I <= N); + if constexpr (I == 0) { + // the complementary of the sum of all parametric coordinates return _one_minus_xis(tensor::make_integer_sequence{}); + } else { + // (I-1)-th parametric coordinate + return functions::component; } }(); }; diff --git a/tests/mito.lib/fem/shape_functions_triangle_p1.cc b/tests/mito.lib/fem/shape_functions_triangle_p1.cc index 8a728982..db8e9ad2 100644 --- a/tests/mito.lib/fem/shape_functions_triangle_p1.cc +++ b/tests/mito.lib/fem/shape_functions_triangle_p1.cc @@ -19,11 +19,11 @@ TEST(Fem, ShapeTriangleP1) constexpr auto element = shape_t(); // node 0 in parametric coordinates - constexpr auto n0 = parametric_coordinates_type{ 1.0, 0.0 }; + constexpr auto n0 = parametric_coordinates_type{ 0.0, 0.0 }; // node 1 in parametric coordinates - constexpr auto n1 = parametric_coordinates_type{ 0.0, 1.0 }; + constexpr auto n1 = parametric_coordinates_type{ 1.0, 0.0 }; // node 2 in parametric coordinates - constexpr auto n2 = parametric_coordinates_type{ 0.0, 0.0 }; + constexpr auto n2 = parametric_coordinates_type{ 0.0, 1.0 }; // the shape function associated with local node {0} constexpr auto phi_0 = element.shape<0>(); diff --git a/tests/mito.lib/fem/shape_functions_triangle_p2.cc b/tests/mito.lib/fem/shape_functions_triangle_p2.cc index d272c1c2..48a4673a 100644 --- a/tests/mito.lib/fem/shape_functions_triangle_p2.cc +++ b/tests/mito.lib/fem/shape_functions_triangle_p2.cc @@ -19,17 +19,17 @@ TEST(Fem, ShapeTriangleP2) constexpr auto element = shape_t(); // node 0 in barycentric coordinates - constexpr auto n0 = barycentric_coordinates_t{ 1.0, 0.0 }; + constexpr auto n0 = barycentric_coordinates_t{ 0.0, 0.0 }; // node 1 in barycentric coordinates - constexpr auto n1 = barycentric_coordinates_t{ 0.0, 1.0 }; + constexpr auto n1 = barycentric_coordinates_t{ 1.0, 0.0 }; // node 2 in barycentric coordinates - constexpr auto n2 = barycentric_coordinates_t{ 0.0, 0.0 }; + constexpr auto n2 = barycentric_coordinates_t{ 0.0, 1.0 }; // node 3 in barycentric coordinates - constexpr auto n3 = barycentric_coordinates_t{ 0.5, 0.5 }; + constexpr auto n3 = barycentric_coordinates_t{ 0.5, 0.0 }; // node 4 in barycentric coordinates - constexpr auto n4 = barycentric_coordinates_t{ 0.0, 0.5 }; + constexpr auto n4 = barycentric_coordinates_t{ 0.5, 0.5 }; // node 5 in barycentric coordinates - constexpr auto n5 = barycentric_coordinates_t{ 0.5, 0.0 }; + constexpr auto n5 = barycentric_coordinates_t{ 0.0, 0.5 }; // the shape functions at node 0 constexpr auto phi_0 = element.shape<0>(); From 357cb68bb928e0bb3bd388798ff631a1ce615f5c Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 14:12:06 +0200 Subject: [PATCH 13/52] tests/quadrature: minor fix Use {1.0} instead of {1}. --- tests/mito.lib/quadrature/quadrature_segment_1D.cc | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/tests/mito.lib/quadrature/quadrature_segment_1D.cc b/tests/mito.lib/quadrature/quadrature_segment_1D.cc index 00a3f320..74ad8dbc 100644 --- a/tests/mito.lib/quadrature/quadrature_segment_1D.cc +++ b/tests/mito.lib/quadrature/quadrature_segment_1D.cc @@ -42,7 +42,9 @@ TEST(Quadrature, Segment) // integrate exp(-x) on (0, 1) auto integral = integrator.integrate(f_exp); - EXPECT_NEAR(integral, (std::exp(1) - 1) / std::exp(1), 1.e-13); + + // check result + EXPECT_NEAR(integral, (std::exp(1.0) - 1.0) / std::exp(1.0), 1.e-13); } // end of file From bb3715a688002310eb884477825ccd56725393a3 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 14:13:59 +0200 Subject: [PATCH 14/52] tensor: implement contraction of forms on tuple-like input --- lib/mito/tensor/Form.h | 25 ++++++++++++++++++++----- lib/mito/tensor/externals.h | 2 +- lib/mito/utilities/externals.h | 1 + lib/mito/utilities/utilities.h | 6 ++++++ 4 files changed, 28 insertions(+), 6 deletions(-) diff --git a/lib/mito/tensor/Form.h b/lib/mito/tensor/Form.h index aba0d8b3..7d9920cc 100644 --- a/lib/mito/tensor/Form.h +++ b/lib/mito/tensor/Form.h @@ -21,7 +21,6 @@ namespace mito::tensor { template concept vector_or_dummy_c = vector_c or std::is_same_v; - // class for P-forms template class Form { @@ -44,6 +43,14 @@ namespace mito::tensor { return _f(args...); } + // contraction from a tuple-like input + template + constexpr auto operator()(const tupleT & args) const + requires(utilities::tuple_like_c && utilities::tuple_size_v == P) + { + return std::apply([this](const auto &... args) { return (*this)(args...); }, args); + } + private: // the action of the form F _f; @@ -64,11 +71,19 @@ namespace mito::tensor { constexpr Form(F f) : _f{ f } {} // contraction with a vector - template - constexpr auto operator()(const X & x) const -> mito::tensor::scalar_t - requires(!std::is_same_v) + template + constexpr auto operator()(argsT... args) const + requires(sizeof...(argsT) == 1) + { + return _f(args...); + } + + // contraction from a tuple-like input + template + constexpr auto operator()(const tupleT & args) const + requires(utilities::tuple_like_c && utilities::tuple_size_v == 1) { - return _f(x); + return std::apply([this](const auto &... args) { return (*this)(args...); }, args); } // contraction with a dummy vector (do not perform contraction) diff --git a/lib/mito/tensor/externals.h b/lib/mito/tensor/externals.h index dca7be5c..b0cdb025 100644 --- a/lib/mito/tensor/externals.h +++ b/lib/mito/tensor/externals.h @@ -14,6 +14,6 @@ // support #include "../journal.h" - +#include "../utilities.h" // end of file diff --git a/lib/mito/utilities/externals.h b/lib/mito/utilities/externals.h index 970be342..4421bcd4 100644 --- a/lib/mito/utilities/externals.h +++ b/lib/mito/utilities/externals.h @@ -11,6 +11,7 @@ #include #include #include +#include #include #include #include diff --git a/lib/mito/utilities/utilities.h b/lib/mito/utilities/utilities.h index 48e5214f..3ba706c4 100644 --- a/lib/mito/utilities/utilities.h +++ b/lib/mito/utilities/utilities.h @@ -24,6 +24,12 @@ namespace mito::utilities { template using base_type = typename std::remove_cvref_t; + // tuple like concept + template + concept tuple_like_c = requires { typename std::tuple_size>::type; }; + + // use tuple size as provided by the standard library + using std::tuple_size_v; } From 5b34647021c76e02d8c6cd832ddb9cca4cd3f275 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 14:58:08 +0200 Subject: [PATCH 15/52] tests/manifold: add test of segment embedded in 2D --- .cmake/mito_tests_mito_lib.cmake | 1 + tests/mito.lib/manifolds/segment_2D.cc | 43 ++++++++++++++++++++++++++ 2 files changed, 44 insertions(+) create mode 100644 tests/mito.lib/manifolds/segment_2D.cc diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index 7282db14..7359fc2d 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -103,6 +103,7 @@ mito_test_driver(tests/mito.lib/fields/spherical_metric_field.cc) mito_test_driver(tests/mito.lib/manifolds/euclidean_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/polar_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/spherical_gradient.cc) +mito_test_driver(tests/mito.lib/manifolds/segment_2D.cc) mito_test_driver(tests/mito.lib/manifolds/triangle_2D.cc) mito_test_driver(tests/mito.lib/manifolds/triangle_3D.cc) mito_test_driver(tests/mito.lib/manifolds/tetrahedron_3D.cc) diff --git a/tests/mito.lib/manifolds/segment_2D.cc b/tests/mito.lib/manifolds/segment_2D.cc new file mode 100644 index 00000000..98993bf0 --- /dev/null +++ b/tests/mito.lib/manifolds/segment_2D.cc @@ -0,0 +1,43 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +#include +#include + + +// cartesian coordinates in 2D +using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; + + +TEST(Manifolds, Segment2D) +{ + // the coordinate system + auto coord_system = mito::geometry::coordinate_system(); + + // an empty mesh of segments + auto mesh = mito::mesh::mesh>(); + + // construct a segment + auto node_0 = mito::geometry::node(coord_system, { 0.0, 0.0 }); + auto node_1 = mito::geometry::node(coord_system, { 0.5, 0.5 }); + mesh.insert({ node_0, node_1 }); + + // the normal vector to the segment + constexpr auto v = mito::tensor::vector_t<2>{ 0.5, -0.5 }; + constexpr auto normal_vector = v / mito::tensor::norm(v); + constexpr auto normal_field = mito::functions::constant(normal_vector); + + // create a submanifold on {mesh} with the appropriate normal field + auto manifold = mito::manifolds::submanifold(mesh, coord_system, normal_field); + + // compute the length of the segment submanifold + auto length = manifold.volume(); + + // check that the length of the segment is correct + EXPECT_DOUBLE_EQ(0.5 * std::sqrt(2.0), length); +} + + +// end of file From bb799eaaeb6ae7be4f3cb9af4953b45be25ce938 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 15:53:23 +0200 Subject: [PATCH 16/52] geometry: implement free function {volume}, which computes volumes of geometric simplices given metric volume form and coordinate system --- .cmake/mito_tests_mito_lib.cmake | 4 +- lib/mito/geometry/utilities.h | 16 +++++ .../{manifolds => geometry}/tetrahedron_3D.cc | 66 +++++++++---------- .../{manifolds => geometry}/triangle_2D.cc | 28 ++++---- 4 files changed, 65 insertions(+), 49 deletions(-) rename tests/mito.lib/{manifolds => geometry}/tetrahedron_3D.cc (73%) rename tests/mito.lib/{manifolds => geometry}/triangle_2D.cc (73%) diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index 7359fc2d..e06394b9 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -26,6 +26,8 @@ mito_test_driver(tests/mito.lib/geometry/barycenter_segment_3D.cc) mito_test_driver(tests/mito.lib/geometry/barycenter_triangle_2D.cc) mito_test_driver(tests/mito.lib/geometry/barycenter_triangle_3D.cc) mito_test_driver(tests/mito.lib/geometry/barycenter_tetrahedron_3D.cc) +mito_test_driver(tests/mito.lib/geometry/triangle_2D.cc) +mito_test_driver(tests/mito.lib/geometry/tetrahedron_3D.cc) mito_test_driver(tests/mito.lib/geometry/cell_directors.cc) mito_test_driver(tests/mito.lib/geometry/point.cc) mito_test_driver(tests/mito.lib/geometry/euclidean_metric_1D.cc) @@ -104,9 +106,7 @@ mito_test_driver(tests/mito.lib/manifolds/euclidean_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/polar_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/spherical_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/segment_2D.cc) -mito_test_driver(tests/mito.lib/manifolds/triangle_2D.cc) mito_test_driver(tests/mito.lib/manifolds/triangle_3D.cc) -mito_test_driver(tests/mito.lib/manifolds/tetrahedron_3D.cc) mito_test_driver(tests/mito.lib/manifolds/tetra_rectangle_2D.cc) mito_test_driver(tests/mito.lib/manifolds/tetra_cube_3D.cc) mito_test_driver(tests/mito.lib/manifolds/volume_half_ball.cc) diff --git a/lib/mito/geometry/utilities.h b/lib/mito/geometry/utilities.h index 8002fb13..28fcac54 100644 --- a/lib/mito/geometry/utilities.h +++ b/lib/mito/geometry/utilities.h @@ -74,6 +74,22 @@ namespace mito::geometry { return _directors(simplex, coordinate_system, tensor::make_integer_sequence{}); } + // computes the volume of {cell} given a coordinate system and a volume form + template + requires(coordT::dim == D) + constexpr auto volume( + const geometric_simplex_t & simplex, const coordinate_system_t & coord_system, + const /*TOFIX: tensor::p_form_field_c*/ auto & volume_form) -> tensor::scalar_t + { + // get the director edges of this cell and the point where they stem from + auto [point, directors] = mito::geometry::directors(simplex, coord_system); + // compute the volume of a N-order simplicial cell as (1/N!) times the volume form + // contracted with the cell directors + auto volume = 1.0 / mito::tensor::factorial() * volume_form(point)(directors); + // all done + return volume; + } + // builds a geometric simplex based on a topological simplex {simplex} with the vertex-point // pairing as appears in {nodes} template diff --git a/tests/mito.lib/manifolds/tetrahedron_3D.cc b/tests/mito.lib/geometry/tetrahedron_3D.cc similarity index 73% rename from tests/mito.lib/manifolds/tetrahedron_3D.cc rename to tests/mito.lib/geometry/tetrahedron_3D.cc index 0c5a2ae7..071b49cd 100644 --- a/tests/mito.lib/manifolds/tetrahedron_3D.cc +++ b/tests/mito.lib/geometry/tetrahedron_3D.cc @@ -4,24 +4,24 @@ // #include -#include +#include // cartesian coordinates in 3D using coordinates_t = mito::geometry::coordinates_t<3, mito::geometry::CARTESIAN>; +// the metric space type +using metric_space_t = mito::geometry::metric_space; -TEST(Manifolds, Tetrahedron3D) + +TEST(Geometry, Tetrahedron3D) { + // the metric volume form + constexpr auto w = metric_space_t::w; + // the coordinate system auto coord_system = mito::geometry::coordinate_system(); - // an empty mesh of tetrahedra - auto mesh = mito::mesh::mesh>(); - - // create a manifold on {mesh} with Euclidean metric - auto manifold = mito::manifolds::manifold(mesh, coord_system); - // build nodes auto node_1 = mito::geometry::node(coord_system, { 0.0, 0.0, 0.0 }); auto node_2 = mito::geometry::node(coord_system, { 1.0, 0.0, 0.0 }); @@ -31,127 +31,127 @@ TEST(Manifolds, Tetrahedron3D) // build tetrahedron with a positive volume (reference tetrahedron) auto tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_2, node_3, node_4 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_2, node_3, node_4 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_3, node_4, node_2 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_4, node_2, node_3 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_1, node_4, node_3 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_3, node_1, node_4 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_4, node_3, node_1 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_1, node_2, node_4 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_2, node_4, node_1 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_4, node_1, node_2 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_1, node_3, node_2 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_2, node_1, node_3 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_3, node_2, node_1 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), 1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_2, node_4, node_3 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_3, node_2, node_4 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_4, node_3, node_2 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_1, node_3, node_4 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_3, node_4, node_1 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_4, node_1, node_3 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_1, node_4, node_2 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_2, node_1, node_4 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_4, node_2, node_1 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_1, node_2, node_3 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_2, node_3, node_1 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_3, node_1, node_2 }); // check that the volume of tetrahedron is correct - EXPECT_DOUBLE_EQ(manifold.volume(tetrahedron), -1.0 / 6.0); + EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); } diff --git a/tests/mito.lib/manifolds/triangle_2D.cc b/tests/mito.lib/geometry/triangle_2D.cc similarity index 73% rename from tests/mito.lib/manifolds/triangle_2D.cc rename to tests/mito.lib/geometry/triangle_2D.cc index 351abe5d..0377cef0 100644 --- a/tests/mito.lib/manifolds/triangle_2D.cc +++ b/tests/mito.lib/geometry/triangle_2D.cc @@ -4,58 +4,58 @@ // #include -#include +#include // cartesian coordinates in 2D using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; +// the metric space type +using metric_space_t = mito::geometry::metric_space; -TEST(Manifolds, Triangle2D) + +TEST(Geometry, Triangle2D) { + // the metric volume form + constexpr auto w = metric_space_t::w; + // the coordinate system auto coord_system = mito::geometry::coordinate_system(); - // an empty mesh of triangles - auto mesh = mito::mesh::mesh>(); - // build nodes auto node_0 = mito::geometry::node(coord_system, { 0.0, 0.0 }); auto node_1 = mito::geometry::node(coord_system, { 1.0, 0.0 }); auto node_2 = mito::geometry::node(coord_system, { 0.0, 1.0 }); - // create a manifold on {mesh} with Euclidean metric - auto manifold = mito::manifolds::manifold(mesh, coord_system); - // build triangle with a positive volume (reference triangle) auto triangle = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); // check that the volume of triangle is correct - EXPECT_DOUBLE_EQ(manifold.volume(triangle), 0.5); + EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), 0.5); // create a triangle from an even permutation of the vertices with respect to the reference triangle = mito::geometry::triangle<2>({ node_1, node_2, node_0 }); // check that the volume of triangle is correct - EXPECT_DOUBLE_EQ(manifold.volume(triangle), 0.5); + EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), 0.5); // create a triangle from an even permutation of the vertices with respect to the reference triangle = mito::geometry::triangle<2>({ node_2, node_0, node_1 }); // check that the volume of triangle is correct - EXPECT_DOUBLE_EQ(manifold.volume(triangle), 0.5); + EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), 0.5); // create a triangle from an odd permutation of the vertices with respect to the reference triangle = mito::geometry::triangle<2>({ node_0, node_2, node_1 }); // check that the volume of triangle is correct - EXPECT_DOUBLE_EQ(manifold.volume(triangle), -0.5); + EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), -0.5); // create a triangle from an odd permutation of the vertices with respect to the reference triangle = mito::geometry::triangle<2>({ node_1, node_0, node_2 }); // check that the volume of triangle is correct - EXPECT_DOUBLE_EQ(manifold.volume(triangle), -0.5); + EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), -0.5); // create a triangle from an odd permutation of the vertices with respect to the reference triangle = mito::geometry::triangle<2>({ node_2, node_1, node_0 }); // check that the volume of triangle is correct - EXPECT_DOUBLE_EQ(manifold.volume(triangle), -0.5); + EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), -0.5); } From 6a9ce9821aa0f2c15841ed88abc6145f5e690a0d Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 15:57:17 +0200 Subject: [PATCH 17/52] functions: consistency fix with ref. 34f7721 --- lib/mito/functions/forward.h | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/lib/mito/functions/forward.h b/lib/mito/functions/forward.h index 5f123798..e9261bd9 100644 --- a/lib/mito/functions/forward.h +++ b/lib/mito/functions/forward.h @@ -57,7 +57,9 @@ namespace mito::functions { // concept of a tensor-valued function template - concept tensor_valued_function_c = function_c and tensor::tensor_c; + concept tensor_valued_function_c = function_c + and (tensor::tensor_c + or geometry::coordinates_c); // concept of a tensor-valued function of tensors template From 276ab50f4646b69042892a764d719fee1b823527 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 16:42:20 +0200 Subject: [PATCH 18/52] tests/input: fix orientation of rectangle mesh --- tests/input/rectangle.geo | 10 +- tests/input/rectangle.summit | 11139 +++++++++++----------- tests/mito.lib/io/vtk_mesh_writer_2D.py | 4 +- 3 files changed, 5524 insertions(+), 5629 deletions(-) diff --git a/tests/input/rectangle.geo b/tests/input/rectangle.geo index 2617a6f6..7c56f9bb 100644 --- a/tests/input/rectangle.geo +++ b/tests/input/rectangle.geo @@ -6,11 +6,11 @@ Point(1) = {0.0,0.0,0.0,h}; Point(2) = {H,0.0,0.0,h}; Point(3) = {H,L,0.0,h}; Point(4) = {0,L,0.0,h}; -Line(1) = {4,3}; -Line(2) = {3,2}; -Line(3) = {2,1}; -Line(4) = {1,4}; -Line Loop(5) = {2,3,4,1}; +Line(1) = {1,2}; +Line(2) = {2,3}; +Line(3) = {3,4}; +Line(4) = {4,1}; +Line Loop(5) = {1,2,3,4}; Physical Line ("1") = {4}; Plane Surface(1) = {5}; Physical Surface("rectangle") = {1}; diff --git 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794 1885 1 +3 1290 1883 1887 1 +3 216 1290 1887 1 +3 1215 1214 1892 1 +3 1270 1249 1891 1 +3 1575 231 1895 1 +3 237 1836 1880 1 +3 1837 1143 1884 1 +3 1830 553 1886 1 +3 553 1839 1886 1 +3 1846 561 1890 1 +3 1853 1107 1893 1 +3 1840 1268 1889 1 +3 1146 1871 1883 1 +3 1268 1845 1889 1 +3 1852 1287 1888 1 +3 87 1863 1881 1 +3 1107 1855 1893 1 +3 1858 1270 1891 1 +3 1863 1125 1894 1 +3 1859 1215 1892 1 +3 231 1872 1895 1 diff --git a/tests/mito.lib/io/vtk_mesh_writer_2D.py b/tests/mito.lib/io/vtk_mesh_writer_2D.py index b42e61d3..346938cd 100644 --- a/tests/mito.lib/io/vtk_mesh_writer_2D.py +++ b/tests/mito.lib/io/vtk_mesh_writer_2D.py @@ -16,13 +16,13 @@ def test_SummitMeshToVtk(): # check the number of cells (tetrahedra) num_cells = mesh.GetNumberOfCells() print("Number of cells:", num_cells) - assert num_cells == 3690 + assert num_cells == 3620 # check points of the mesh points = mesh.GetPoints() num_points = points.GetNumberOfPoints() print("Number of points:", num_points) - assert num_points == 1930 + assert num_points == 1895 # remove file cleanup(filename) \ No newline at end of file From 7243d1f50397e0fd13f8b09fb1cac9b2c3499312 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 16:50:19 +0200 Subject: [PATCH 19/52] tests/mesh: move tests on volume calculation in Euclidean space to {mesh} directory --- .cmake/mito_tests_mito_lib.cmake | 4 +- .../mito.lib/manifolds/tetra_rectangle_2D.cc | 36 ---------------- .../{manifolds => mesh}/tetra_cube_3D.cc | 20 +++++---- tests/mito.lib/mesh/tetra_rectangle_2D.cc | 42 +++++++++++++++++++ 4 files changed, 56 insertions(+), 46 deletions(-) delete mode 100644 tests/mito.lib/manifolds/tetra_rectangle_2D.cc rename tests/mito.lib/{manifolds => mesh}/tetra_cube_3D.cc (64%) create mode 100644 tests/mito.lib/mesh/tetra_rectangle_2D.cc diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index e06394b9..59678063 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -107,8 +107,6 @@ mito_test_driver(tests/mito.lib/manifolds/polar_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/spherical_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/segment_2D.cc) mito_test_driver(tests/mito.lib/manifolds/triangle_3D.cc) -mito_test_driver(tests/mito.lib/manifolds/tetra_rectangle_2D.cc) -mito_test_driver(tests/mito.lib/manifolds/tetra_cube_3D.cc) mito_test_driver(tests/mito.lib/manifolds/volume_half_ball.cc) mito_test_driver(tests/mito.lib/manifolds/volume_disk_polar_cartesian.cc) mito_test_driver(tests/mito.lib/manifolds/volume_disk_change_coordinates.cc) @@ -133,6 +131,8 @@ mito_test_driver(tests/mito.lib/mesh/tetra_triangle_3D.cc) mito_test_driver(tests/mito.lib/mesh/tetra_tetrahedron_3D.cc) mito_test_driver(tests/mito.lib/mesh/tetra_zero_subdivisions.cc) mito_test_driver(tests/mito.lib/mesh/tetra_multiple_subdivisions.cc) +mito_test_driver(tests/mito.lib/mesh/tetra_rectangle_2D.cc) +mito_test_driver(tests/mito.lib/mesh/tetra_cube_3D.cc) mito_test_driver(tests/mito.lib/mesh/erase_element.cc) mito_test_driver(tests/mito.lib/mesh/sphere.cc) mito_test_driver(tests/mito.lib/mesh/summit_read_write.cc) diff --git a/tests/mito.lib/manifolds/tetra_rectangle_2D.cc b/tests/mito.lib/manifolds/tetra_rectangle_2D.cc deleted file mode 100644 index 69d75f87..00000000 --- a/tests/mito.lib/manifolds/tetra_rectangle_2D.cc +++ /dev/null @@ -1,36 +0,0 @@ -// -*- c++ -*- -// -// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved -// - -#include -#include -#include -#include - - -// cartesian coordinates in 2D -using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; - - -TEST(Tetra, Rectangle) -{ - // the coordinate system - auto coord_system = mito::geometry::coordinate_system(); - - // load a mesh of triangles - std::ifstream fileStream("rectangle.summit"); - auto mesh = mito::io::summit::reader>(fileStream, coord_system); - - // do tetra mesh refinements - auto tetra_mesh = mito::mesh::tetra(mesh, coord_system, 1); - - // compute the volume of the original mesh - auto volume_mesh = mito::manifolds::manifold(mesh, coord_system).volume(); - - // compute the volume of the refined mesh - auto volume_tetra_mesh = mito::manifolds::manifold(tetra_mesh, coord_system).volume(); - - // assert that the two volumes coincide - EXPECT_NEAR(volume_mesh, volume_tetra_mesh, 1.e-15); -} diff --git a/tests/mito.lib/manifolds/tetra_cube_3D.cc b/tests/mito.lib/mesh/tetra_cube_3D.cc similarity index 64% rename from tests/mito.lib/manifolds/tetra_cube_3D.cc rename to tests/mito.lib/mesh/tetra_cube_3D.cc index 2c71b904..50efc071 100644 --- a/tests/mito.lib/manifolds/tetra_cube_3D.cc +++ b/tests/mito.lib/mesh/tetra_cube_3D.cc @@ -12,6 +12,9 @@ // cartesian coordinates in 3D using coordinates_t = mito::geometry::coordinates_t<3, mito::geometry::CARTESIAN>; +// the metric space type +using metric_space_t = mito::geometry::metric_space; + TEST(Tetra, Cube) { @@ -26,15 +29,16 @@ TEST(Tetra, Cube) // do tetra mesh refinement const auto subdivisions = 2; auto tetra_mesh = mito::mesh::tetra(mesh, coord_system, subdivisions); - // assert that the refined mesh has 8 times more elements than the original one - EXPECT_EQ(tetra_mesh.nCells(), std::pow(8, subdivisions) * mesh.nCells()); - // compute the volume of the original mesh - auto volume_mesh = mito::manifolds::manifold(mesh, coord_system).volume(); + // check that the refined mesh has 8 times more elements than the original one + EXPECT_EQ(tetra_mesh.nCells(), std::pow(8, subdivisions) * mesh.nCells()); - // compute the volume of the refined mesh - auto volume_tetra_mesh = mito::manifolds::manifold(tetra_mesh, coord_system).volume(); + // loop over the mesh cells + auto volume = 0.0; + for (const auto & cell : tetra_mesh.cells()) { + volume += mito::geometry::volume(cell, coord_system, metric_space_t::w); + } - // assert that the two volumes coincide - EXPECT_NEAR(volume_mesh, volume_tetra_mesh, 1.e-13); + // check that the result of the calculation is correct + EXPECT_NEAR(volume, 1.0, 1e-13); } diff --git a/tests/mito.lib/mesh/tetra_rectangle_2D.cc b/tests/mito.lib/mesh/tetra_rectangle_2D.cc new file mode 100644 index 00000000..75b3bfaa --- /dev/null +++ b/tests/mito.lib/mesh/tetra_rectangle_2D.cc @@ -0,0 +1,42 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +#include +#include +#include + + +// cartesian coordinates in 2D +using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; + +// the metric space type +using metric_space_t = mito::geometry::metric_space; + + +TEST(Tetra, Rectangle) +{ + // the coordinate system + auto coord_system = mito::geometry::coordinate_system(); + + // load a mesh of triangles + std::ifstream fileStream("rectangle.summit"); + auto mesh = mito::io::summit::reader>(fileStream, coord_system); + + // do tetra mesh refinements + const auto subdivisions = 1; + auto tetra_mesh = mito::mesh::tetra(mesh, coord_system, subdivisions); + + // check that the refined mesh has 4 times more elements than the original one + EXPECT_EQ(tetra_mesh.nCells(), std::pow(4, subdivisions) * mesh.nCells()); + + // loop over the mesh cells + auto volume = 0.0; + for (const auto & cell : tetra_mesh.cells()) { + volume += mito::geometry::volume(cell, coord_system, metric_space_t::w); + } + + // check that the result of the calculation is correct + EXPECT_DOUBLE_EQ(volume, 0.00125); +} From 7adb4bddcece72b6f8cbc8bae1fa676a1c44b9aa Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 17:23:58 +0200 Subject: [PATCH 20/52] tests/mesh: move tests on volume of single-element submanifolds out to {geometry} directory --- .cmake/mito_tests_mito_lib.cmake | 4 +- tests/mito.lib/geometry/segment_2D.cc | 54 +++++++++++++++++++ .../{manifolds => geometry}/triangle_3D.cc | 39 ++++++++------ .../{manifolds => geometry}/triangle_3D.nb | 0 tests/mito.lib/manifolds/segment_2D.cc | 43 --------------- 5 files changed, 78 insertions(+), 62 deletions(-) create mode 100644 tests/mito.lib/geometry/segment_2D.cc rename tests/mito.lib/{manifolds => geometry}/triangle_3D.cc (63%) rename tests/mito.lib/{manifolds => geometry}/triangle_3D.nb (100%) delete mode 100644 tests/mito.lib/manifolds/segment_2D.cc diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index 59678063..1f003bd4 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -26,6 +26,8 @@ mito_test_driver(tests/mito.lib/geometry/barycenter_segment_3D.cc) mito_test_driver(tests/mito.lib/geometry/barycenter_triangle_2D.cc) mito_test_driver(tests/mito.lib/geometry/barycenter_triangle_3D.cc) mito_test_driver(tests/mito.lib/geometry/barycenter_tetrahedron_3D.cc) +mito_test_driver(tests/mito.lib/geometry/segment_2D.cc) +mito_test_driver(tests/mito.lib/geometry/triangle_3D.cc) mito_test_driver(tests/mito.lib/geometry/triangle_2D.cc) mito_test_driver(tests/mito.lib/geometry/tetrahedron_3D.cc) mito_test_driver(tests/mito.lib/geometry/cell_directors.cc) @@ -105,8 +107,6 @@ mito_test_driver(tests/mito.lib/fields/spherical_metric_field.cc) mito_test_driver(tests/mito.lib/manifolds/euclidean_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/polar_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/spherical_gradient.cc) -mito_test_driver(tests/mito.lib/manifolds/segment_2D.cc) -mito_test_driver(tests/mito.lib/manifolds/triangle_3D.cc) mito_test_driver(tests/mito.lib/manifolds/volume_half_ball.cc) mito_test_driver(tests/mito.lib/manifolds/volume_disk_polar_cartesian.cc) mito_test_driver(tests/mito.lib/manifolds/volume_disk_change_coordinates.cc) diff --git a/tests/mito.lib/geometry/segment_2D.cc b/tests/mito.lib/geometry/segment_2D.cc new file mode 100644 index 00000000..bb363d20 --- /dev/null +++ b/tests/mito.lib/geometry/segment_2D.cc @@ -0,0 +1,54 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +#include +#include + + +// cartesian coordinates in 2D +using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; + +// the metric space type +using metric_space_t = mito::geometry::metric_space; + + +TEST(Geometry, Segment2D) +{ + // the coordinate system + auto coord_system = mito::geometry::coordinate_system(); + + // construct a segment + auto node_0 = mito::geometry::node(coord_system, { 0.0, 0.0 }); + auto node_1 = mito::geometry::node(coord_system, { 0.5, 0.5 }); + + // build segment from the nodes + auto segment = mito::geometry::segment<2>({ node_0, node_1 }); + + // the normal vector to the segment + constexpr auto v = mito::tensor::vector_t<2>{ 0.5, -0.5 }; + constexpr auto normal_vector = v / mito::tensor::norm(v); + + // get the metric volume form + constexpr auto w = metric_space_t::w; + + // get the director edges of this segment and the point where they stem from + auto [point, directors] = mito::geometry::directors(segment, coord_system); + + // strip namespace from the placeholder for forms contractions + using mito::tensor::_; + + // the 1D restriction of the 2D metric volume form to the segment at the origin of the segment + constexpr auto wS = w(point)(normal_vector, _); + + // compute the length of the segment as the contraction of the restricted volume form with the + // cell directors + auto length = wS(directors); + + // check that the length of the segment is correct + EXPECT_DOUBLE_EQ(0.5 * std::sqrt(2.0), length); +} + + +// end of file diff --git a/tests/mito.lib/manifolds/triangle_3D.cc b/tests/mito.lib/geometry/triangle_3D.cc similarity index 63% rename from tests/mito.lib/manifolds/triangle_3D.cc rename to tests/mito.lib/geometry/triangle_3D.cc index 71f3701a..b9ef7e48 100644 --- a/tests/mito.lib/manifolds/triangle_3D.cc +++ b/tests/mito.lib/geometry/triangle_3D.cc @@ -4,34 +4,26 @@ // #include -#include +#include // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<3, mito::geometry::CARTESIAN>; +// the metric space type +using metric_space_t = mito::geometry::metric_space; -TEST(Manifolds, Triangle3D) + +TEST(Geometry, Triangle3D) { // the coordinate system auto coord_system = mito::geometry::coordinate_system(); - // an empty mesh of triangles - auto mesh = mito::mesh::mesh>(); - // build nodes constexpr auto x_0 = mito::geometry::cartesian::coordinates({ 0.0, 0.0, 0.0 }); constexpr auto x_1 = mito::geometry::cartesian::coordinates({ 1.0, 0.0, 1.0 }); constexpr auto x_2 = mito::geometry::cartesian::coordinates({ 1.0, 1.0, 1.0 }); - // the normal vector to the submanifold - constexpr auto cross = mito::tensor::cross(x_1 - x_0, x_2 - x_0); - constexpr auto normal_vector = cross / mito::tensor::norm(cross); - constexpr auto normal_field = mito::functions::constant(normal_vector); - - // create a submanifold on {mesh} with the appropriate normal field - auto manifold = mito::manifolds::submanifold(mesh, coord_system, normal_field); - // build nodes of a triangle (counterclockwise order) auto node_0 = mito::geometry::node(coord_system, x_0); auto node_1 = mito::geometry::node(coord_system, x_1); @@ -40,11 +32,24 @@ TEST(Manifolds, Triangle3D) // build triangle with a positive volume (reference triangle) auto triangle = mito::geometry::triangle<3>({ node_0, node_1, node_2 }); - // insert triangle in the mesh - mesh.insert(triangle); + // the normal vector to the submanifold + constexpr auto cross = mito::tensor::cross(x_1 - x_0, x_2 - x_0); + constexpr auto normal_vector = cross / mito::tensor::norm(cross); + + // get the metric volume form + constexpr auto w = metric_space_t::w; + + // get the director edges of this triangle and the point where they stem from + auto [point, directors] = mito::geometry::directors(triangle, coord_system); + + // strip namespace from the placeholder for forms contractions + using mito::tensor::_; + + // the 1D restriction of the 2D metric volume form to the segment at the origin of the segment + constexpr auto wS = w(point)(normal_vector, _, _); - // compute the area of the manifold - mito::tensor::scalar_t area = manifold.volume(); + // compute the area of the triangle + auto area = 1.0 / mito::tensor::factorial<2>() * wS(directors); // check that the volume of triangle is correct EXPECT_DOUBLE_EQ(0.5 * std::sqrt(2.0), area); diff --git a/tests/mito.lib/manifolds/triangle_3D.nb b/tests/mito.lib/geometry/triangle_3D.nb similarity index 100% rename from tests/mito.lib/manifolds/triangle_3D.nb rename to tests/mito.lib/geometry/triangle_3D.nb diff --git a/tests/mito.lib/manifolds/segment_2D.cc b/tests/mito.lib/manifolds/segment_2D.cc deleted file mode 100644 index 98993bf0..00000000 --- a/tests/mito.lib/manifolds/segment_2D.cc +++ /dev/null @@ -1,43 +0,0 @@ -// -*- c++ -*- -// -// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved -// - -#include -#include - - -// cartesian coordinates in 2D -using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; - - -TEST(Manifolds, Segment2D) -{ - // the coordinate system - auto coord_system = mito::geometry::coordinate_system(); - - // an empty mesh of segments - auto mesh = mito::mesh::mesh>(); - - // construct a segment - auto node_0 = mito::geometry::node(coord_system, { 0.0, 0.0 }); - auto node_1 = mito::geometry::node(coord_system, { 0.5, 0.5 }); - mesh.insert({ node_0, node_1 }); - - // the normal vector to the segment - constexpr auto v = mito::tensor::vector_t<2>{ 0.5, -0.5 }; - constexpr auto normal_vector = v / mito::tensor::norm(v); - constexpr auto normal_field = mito::functions::constant(normal_vector); - - // create a submanifold on {mesh} with the appropriate normal field - auto manifold = mito::manifolds::submanifold(mesh, coord_system, normal_field); - - // compute the length of the segment submanifold - auto length = manifold.volume(); - - // check that the length of the segment is correct - EXPECT_DOUBLE_EQ(0.5 * std::sqrt(2.0), length); -} - - -// end of file From 5f3267ca78aad65cd3984bd7dcd7e7f134d453e7 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 19:06:54 +0200 Subject: [PATCH 21/52] tests/mesh: move tests on volume of meshes to {mesh} directory --- .cmake/mito_tests_mito_lib.cmake | 6 ++-- .../disk_change_coordinates.cc} | 15 ++++++---- .../disk_polar_cartesian.cc} | 15 ++++++---- .../volume_half_ball.cc => mesh/half_ball.cc} | 28 +++++++++++-------- 4 files changed, 38 insertions(+), 26 deletions(-) rename tests/mito.lib/{manifolds/volume_disk_change_coordinates.cc => mesh/disk_change_coordinates.cc} (85%) rename tests/mito.lib/{manifolds/volume_disk_polar_cartesian.cc => mesh/disk_polar_cartesian.cc} (82%) rename tests/mito.lib/{manifolds/volume_half_ball.cc => mesh/half_ball.cc} (62%) diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index 1f003bd4..e668c56e 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -107,9 +107,6 @@ mito_test_driver(tests/mito.lib/fields/spherical_metric_field.cc) mito_test_driver(tests/mito.lib/manifolds/euclidean_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/polar_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/spherical_gradient.cc) -mito_test_driver(tests/mito.lib/manifolds/volume_half_ball.cc) -mito_test_driver(tests/mito.lib/manifolds/volume_disk_polar_cartesian.cc) -mito_test_driver(tests/mito.lib/manifolds/volume_disk_change_coordinates.cc) mito_test_driver(tests/mito.lib/manifolds/surface_half_sphere_cartesian.cc) mito_test_driver(tests/mito.lib/manifolds/surface_half_sphere_spherical.cc) @@ -135,6 +132,9 @@ mito_test_driver(tests/mito.lib/mesh/tetra_rectangle_2D.cc) mito_test_driver(tests/mito.lib/mesh/tetra_cube_3D.cc) mito_test_driver(tests/mito.lib/mesh/erase_element.cc) mito_test_driver(tests/mito.lib/mesh/sphere.cc) +mito_test_driver(tests/mito.lib/mesh/half_ball.cc) +mito_test_driver(tests/mito.lib/mesh/disk_polar_cartesian.cc) +mito_test_driver(tests/mito.lib/mesh/disk_change_coordinates.cc) mito_test_driver(tests/mito.lib/mesh/summit_read_write.cc) if(WITH_METIS) diff --git a/tests/mito.lib/manifolds/volume_disk_change_coordinates.cc b/tests/mito.lib/mesh/disk_change_coordinates.cc similarity index 85% rename from tests/mito.lib/manifolds/volume_disk_change_coordinates.cc rename to tests/mito.lib/mesh/disk_change_coordinates.cc index 89ad2b47..5538a9c7 100644 --- a/tests/mito.lib/manifolds/volume_disk_change_coordinates.cc +++ b/tests/mito.lib/mesh/disk_change_coordinates.cc @@ -5,7 +5,7 @@ #include #include -#include +#include // cartesian coordinates in 2D @@ -28,18 +28,21 @@ area_change_coordinates(std::string mesh_file_name) -> mito::tensor::scalar_t // perform change of coordinates from {coordT1} to {coordT2} auto coord_system_changed = mito::geometry::coordinate_system(coord_system); - // create a manifold on {mesh} with the coordinate system {coordT2} - auto manifold = mito::manifolds::manifold(mesh, coord_system_changed); + // the metric space + using metric_space_t = mito::geometry::metric_space; - // compute the area of the manifold - auto area = manifold.volume(); + // loop over the mesh cells + auto area = 0.0; + for (const auto & cell : mesh.cells()) { + area += mito::geometry::volume(cell, coord_system_changed, metric_space_t::w); + } // all done return area; } -TEST(Manifolds, Disk) +TEST(Mesh, Disk) { // compute the area in polar coordinates on a cartesian mesh auto area_polar = area_change_coordinates( diff --git a/tests/mito.lib/manifolds/volume_disk_polar_cartesian.cc b/tests/mito.lib/mesh/disk_polar_cartesian.cc similarity index 82% rename from tests/mito.lib/manifolds/volume_disk_polar_cartesian.cc rename to tests/mito.lib/mesh/disk_polar_cartesian.cc index d06dfac8..3634cf16 100644 --- a/tests/mito.lib/manifolds/volume_disk_polar_cartesian.cc +++ b/tests/mito.lib/mesh/disk_polar_cartesian.cc @@ -5,7 +5,7 @@ #include #include -#include +#include // cartesian coordinates in 2D @@ -25,18 +25,21 @@ area(std::string mesh_file_name) -> mito::tensor::scalar_t auto filestream = std::ifstream(mesh_file_name); auto mesh = mito::io::summit::reader>(filestream, coord_system); - // create a manifold on {mesh} - auto manifold = mito::manifolds::manifold(mesh, coord_system); + // the metric space + using metric_space_t = mito::geometry::metric_space; - // compute the area of the manifold - auto area = manifold.volume(); + // loop over the mesh cells + auto area = 0.0; + for (const auto & cell : mesh.cells()) { + area += mito::geometry::volume(cell, coord_system, metric_space_t::w); + } // all done return area; } -TEST(Manifolds, Disk) +TEST(Mesh, Disk) { // compute the area of the disk parametrized in polar coordinates auto area_polar = area("disk_polar.summit"); diff --git a/tests/mito.lib/manifolds/volume_half_ball.cc b/tests/mito.lib/mesh/half_ball.cc similarity index 62% rename from tests/mito.lib/manifolds/volume_half_ball.cc rename to tests/mito.lib/mesh/half_ball.cc index 45725649..11cd49aa 100644 --- a/tests/mito.lib/manifolds/volume_half_ball.cc +++ b/tests/mito.lib/mesh/half_ball.cc @@ -5,7 +5,7 @@ #include #include -#include +#include // cartesian coordinates in 3D @@ -14,7 +14,7 @@ using cartesian_coordinates_t = mito::geometry::coordinates_t<3, mito::geometry: using spherical_coordinates_t = mito::geometry::coordinates_t<3, mito::geometry::SPHERICAL>; -TEST(Manifolds, Ball) +TEST(Mesh, HalfBall) { // the coordinate system auto coord_system = mito::geometry::coordinate_system(); @@ -24,22 +24,28 @@ TEST(Manifolds, Ball) auto mesh = mito::io::summit::reader>(fileStream, coord_system); - // create a manifold on {mesh} - auto manifold_cartesian = mito::manifolds::manifold(mesh, coord_system); + // the metric space + using cartesian_metric_space_t = mito::geometry::metric_space; - // compute the area of the manifold - auto volume_cartesian = manifold_cartesian.volume(); + // loop over the mesh cells + auto volume_cartesian = 0.0; + for (const auto & cell : mesh.cells()) { + volume_cartesian += mito::geometry::volume(cell, coord_system, cartesian_metric_space_t::w); + } // perform change of coordinates from cartesian to spherical auto spherical_coord_system = mito::geometry::coordinate_system(coord_system); - // create a manifold on {mesh} - auto manifold_spherical = mito::manifolds::manifold(mesh, spherical_coord_system); - - // compute the area of the manifold - auto volume_spherical = manifold_spherical.volume(); + // the metric space + using spherical_metric_space_t = mito::geometry::metric_space; + // loop over the mesh cells + auto volume_spherical = 0.0; + for (const auto & cell : mesh.cells()) { + volume_spherical += + mito::geometry::volume(cell, spherical_coord_system, spherical_metric_space_t::w); + } // expect the same result in cartesian and spherical coordinates EXPECT_DOUBLE_EQ(volume_cartesian, volume_spherical); From 6afd02eb955ea4cb13dd0204d05996df5728d022 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 4 May 2026 19:47:18 +0200 Subject: [PATCH 22/52] tests/manifolds: temporarily remove tests of half sphere These tests will be re-enabled once higher order parametrizations are implemented. --- .cmake/mito_tests_mito_lib.cmake | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index e668c56e..6e89fb09 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -107,8 +107,8 @@ mito_test_driver(tests/mito.lib/fields/spherical_metric_field.cc) mito_test_driver(tests/mito.lib/manifolds/euclidean_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/polar_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/spherical_gradient.cc) -mito_test_driver(tests/mito.lib/manifolds/surface_half_sphere_cartesian.cc) -mito_test_driver(tests/mito.lib/manifolds/surface_half_sphere_spherical.cc) +# mito_test_driver(tests/mito.lib/manifolds/surface_half_sphere_cartesian.cc) +# mito_test_driver(tests/mito.lib/manifolds/surface_half_sphere_spherical.cc) # materials mito_test_driver(tests/mito.lib/materials/gent.cc) From e735d16746cfd96b2a93d9def87280b3ecba8c0e Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Tue, 5 May 2026 06:37:01 +0200 Subject: [PATCH 23/52] geometry: improve comment in {GeometricSimplex} --- lib/mito/geometry/GeometricSimplex.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lib/mito/geometry/GeometricSimplex.h b/lib/mito/geometry/GeometricSimplex.h index e5bd3aa8..942b19ae 100644 --- a/lib/mito/geometry/GeometricSimplex.h +++ b/lib/mito/geometry/GeometricSimplex.h @@ -160,7 +160,7 @@ namespace mito::geometry { private: // the simplex nodes nodes_type _nodes; - // the shared pointer to the footprint + // the underlying oriented simplex footprint simplex_type _simplex; }; From cf059bda5a3dee0c59fe16950e795492f91cf097 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Sat, 30 May 2026 11:25:29 +0200 Subject: [PATCH 24/52] fem: redesign blocks and weakform integration The weakform stores a single left hand side block and a single right hand side block, as opposed to a collection of them. This requires implementing an algebra of blocks, so we can mix and match them before handing them ot the weakform. Also, this means that blocks do not need to derive from a common parent class any more. --- benchmarks/mito.lib/pdes/poisson.cc | 4 +- lib/mito/fem/DiscreteSystem.h | 4 +- lib/mito/fem/Weakform.h | 79 +++++++-------------------- lib/mito/fem/api.h | 17 +++--- lib/mito/fem/blocks/AssemblyBlock.h | 50 ----------------- lib/mito/fem/blocks/GradGradBlock.h | 4 +- lib/mito/fem/blocks/L2NormBlock.h | 4 +- lib/mito/fem/blocks/MassBlock.h | 4 +- lib/mito/fem/blocks/SourceTermBlock.h | 4 +- lib/mito/fem/blocks/api.h | 4 -- lib/mito/fem/blocks/forward.h | 4 -- lib/mito/fem/blocks/public.h | 1 - lib/mito/fem/factories.h | 9 +-- lib/mito/fem/forward.h | 9 ++- 14 files changed, 53 insertions(+), 144 deletions(-) delete mode 100644 lib/mito/fem/blocks/AssemblyBlock.h diff --git a/benchmarks/mito.lib/pdes/poisson.cc b/benchmarks/mito.lib/pdes/poisson.cc index 69845671..465549c3 100644 --- a/benchmarks/mito.lib/pdes/poisson.cc +++ b/benchmarks/mito.lib/pdes/poisson.cc @@ -84,9 +84,7 @@ main() mito::fem::blocks::source_term_block(f); // create the weak form and populate it with the blocks - auto weakform = mito::fem::weakform(); - weakform.add_block(fem_lhs_block); - weakform.add_block(fem_rhs_block); + auto weakform = mito::fem::weakform(fem_lhs_block, fem_rhs_block); // the discrete system auto discrete_system = diff --git a/lib/mito/fem/DiscreteSystem.h b/lib/mito/fem/DiscreteSystem.h index 57709a9a..852671c6 100644 --- a/lib/mito/fem/DiscreteSystem.h +++ b/lib/mito/fem/DiscreteSystem.h @@ -13,7 +13,7 @@ namespace mito::fem { // extend the design to the case that there are multiple finite element discretizations that // end up on the same linear system. - template + template class DiscreteSystem { private: @@ -22,7 +22,7 @@ namespace mito::fem { // the element type using element_type = typename function_space_type::element_type; // the weakform type - using weakform_type = weakform_t; + using weakform_type = weakformT; // the linear system type using linear_system_type = linearSystemT; // the label type diff --git a/lib/mito/fem/Weakform.h b/lib/mito/fem/Weakform.h index f599b817..d29bc5c3 100644 --- a/lib/mito/fem/Weakform.h +++ b/lib/mito/fem/Weakform.h @@ -9,33 +9,30 @@ namespace mito::fem { - // TODO: concept for element type - template + template + requires compatible_assembly_blocks_c class Weakform { private: + // the type of the left hand side assembly block + using lhs_block_type = lhsBlockT; + // the type of the right hand side assembly block + using rhs_block_type = rhsBlockT; // the element type - using element_type = elementT; + using element_type = typename lhsBlockT::element_type; // the number of nodes per element static constexpr int n_element_nodes = element_type::n_nodes; // the elementary matrix type using elementary_matrix_type = tensor::matrix_t; // the elementary vector type using elementary_vector_type = tensor::vector_t; - // the type of the lhs assembly block - using lhs_assembly_block_type = - blocks::assembly_block_t; - // a collection of lhs assembly blocks - using lhs_assembly_blocks_type = std::vector; - // the type of the rhs assembly block - using rhs_assembly_block_type = - blocks::assembly_block_t; - // a collection of rhs assembly blocks - using rhs_assembly_blocks_type = std::vector; public: - // default constructor - constexpr Weakform() = default; + // constructor + constexpr Weakform(const lhsBlockT & lhs_block, const rhsBlockT & rhs_block) : + _lhs_block(lhs_block), + _rhs_block(rhs_block) + {} // destructor constexpr ~Weakform() = default; @@ -53,60 +50,26 @@ namespace mito::fem { constexpr Weakform & operator=(Weakform &&) noexcept = delete; public: - // add a left hand side assembly block - constexpr auto add_block(const lhs_assembly_block_type & block) -> void - { - // add the block to the collection - _lhs_assembly_blocks.push_back(&block); - - // all done - return; - } - - // add a right hand side assembly block - constexpr auto add_block(const rhs_assembly_block_type & block) -> void - { - // add the block to the collection - _rhs_assembly_blocks.push_back(&block); - - // all done - return; - } - // compute the elementary contributions to matrix and right-hand side from the weakform constexpr auto compute_blocks(const element_type & element) const -> std::pair { - // instantiate the elementary matrix - auto elementary_matrix = elementary_matrix_type(); - // loop on the left hand side assembly blocks - for (const auto & block : _lhs_assembly_blocks) { - // compute the elementary contribution of the block - auto matrix_block = block->compute(element); - // add the elementary contribution to the elementary matrix - elementary_matrix += matrix_block; - } - - // instantiate the elementary vector - auto elementary_vector = elementary_vector_type(); - // loop on the right hand side assembly blocks - for (const auto & block : _rhs_assembly_blocks) { - // compute the elementary contribution of the block - auto vector_block = block->compute(element); - // add the elementary contribution to the elementary vector - elementary_vector += vector_block; - } + // the elementary matrix + auto elementary_matrix = _lhs_block.compute(element); + + // the elementary vector + auto elementary_vector = _rhs_block.compute(element); // return the elementary matrix and vector return { elementary_matrix, elementary_vector }; } private: - // the collection of left hand side assembly blocks - lhs_assembly_blocks_type _lhs_assembly_blocks; + // the left hand side assembly block + lhs_block_type _lhs_block; - // the collection of right hand side assembly blocks - rhs_assembly_blocks_type _rhs_assembly_blocks; + // the right hand side assembly block + rhs_block_type _rhs_block; }; } // namespace mito diff --git a/lib/mito/fem/api.h b/lib/mito/fem/api.h index 0d5e17a8..f07e255d 100644 --- a/lib/mito/fem/api.h +++ b/lib/mito/fem/api.h @@ -25,21 +25,22 @@ namespace mito::fem { constexpr auto function_space(const manifoldT & manifold, const constraintsT & constraints); // weakform alias - template - using weakform_t = Weakform; + template + using weakform_t = Weakform; // weakform factory - template - constexpr auto weakform(); + template + constexpr auto weakform(const lhsBlockT & lhs_block, const rhsBlockT & rhs_block); // discrete system alias - template - using discrete_system_t = DiscreteSystem; + template + using discrete_system_t = DiscreteSystem; // discrete system factory - template + template constexpr auto discrete_system( - const functionSpaceT & function_space, const std::string & label); + const functionSpaceT & function_space, const weakformT & weakform, + const std::string & label); } diff --git a/lib/mito/fem/blocks/AssemblyBlock.h b/lib/mito/fem/blocks/AssemblyBlock.h deleted file mode 100644 index 358d12d4..00000000 --- a/lib/mito/fem/blocks/AssemblyBlock.h +++ /dev/null @@ -1,50 +0,0 @@ -// -*- c++ -*- -// -// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved -// - -// code guard -#pragma once - - -namespace mito::fem::blocks { - - // TODO: implement sum and subtraction operators for the blocks (only for blocks that result in - // the same elementary type) - - template - class AssemblyBlock { - - public: - // my template parameters - using element_type = elementT; - using elementary_block_type = blockT; - - public: - // the constructor - constexpr AssemblyBlock() = default; - - // destructor - constexpr ~AssemblyBlock() = default; - - // delete move constructor - constexpr AssemblyBlock(AssemblyBlock &&) noexcept = delete; - - // delete copy constructor - constexpr AssemblyBlock(const AssemblyBlock &) = delete; - - // delete assignment operator - constexpr AssemblyBlock & operator=(const AssemblyBlock &) = delete; - - // delete move assignment operator - constexpr AssemblyBlock & operator=(AssemblyBlock &&) noexcept = delete; - - public: - // compute the elementary contribution of this block - virtual auto compute(const element_type & element) const -> elementary_block_type = 0; - }; - -} // namespace mito - - -// end of file diff --git a/lib/mito/fem/blocks/GradGradBlock.h b/lib/mito/fem/blocks/GradGradBlock.h index 65d8eb2d..7f34d007 100644 --- a/lib/mito/fem/blocks/GradGradBlock.h +++ b/lib/mito/fem/blocks/GradGradBlock.h @@ -10,7 +10,7 @@ namespace mito::fem::blocks { template - class GradGradBlock : public AssemblyBlock> { + class GradGradBlock { public: // my template parameters @@ -24,7 +24,7 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - auto compute(const element_type & element) const -> elementary_block_type override + auto compute(const element_type & element) const -> elementary_block_type { // the number of nodes per element constexpr int n_nodes = element_type::n_nodes; diff --git a/lib/mito/fem/blocks/L2NormBlock.h b/lib/mito/fem/blocks/L2NormBlock.h index 0d0a00f4..0a9f2faa 100644 --- a/lib/mito/fem/blocks/L2NormBlock.h +++ b/lib/mito/fem/blocks/L2NormBlock.h @@ -13,7 +13,7 @@ namespace mito::fem::blocks { // require that {functionT} is a function in barycentric coordinates requires(std::is_same_v< typename functionT::input_type, typename quadratureRuleT::quadrature_point_type>) - class L2NormBlock : public AssemblyBlock { + class L2NormBlock { public: // my template parameters @@ -34,7 +34,7 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - auto compute(const element_type & element) const -> elementary_block_type override + auto compute(const element_type & element) const -> elementary_block_type { // the number of quadrature points per element constexpr int n_quads = quadrature_rule_type::npoints; diff --git a/lib/mito/fem/blocks/MassBlock.h b/lib/mito/fem/blocks/MassBlock.h index d8300760..1c11a05e 100644 --- a/lib/mito/fem/blocks/MassBlock.h +++ b/lib/mito/fem/blocks/MassBlock.h @@ -10,7 +10,7 @@ namespace mito::fem::blocks { template - class MassBlock : public AssemblyBlock> { + class MassBlock { public: // my template parameters @@ -24,7 +24,7 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - auto compute(const element_type & element) const -> elementary_block_type override + auto compute(const element_type & element) const -> elementary_block_type { // the number of nodes per element constexpr int n_nodes = element_type::n_nodes; diff --git a/lib/mito/fem/blocks/SourceTermBlock.h b/lib/mito/fem/blocks/SourceTermBlock.h index ed9ecb8e..fe7df0f0 100644 --- a/lib/mito/fem/blocks/SourceTermBlock.h +++ b/lib/mito/fem/blocks/SourceTermBlock.h @@ -12,7 +12,7 @@ namespace mito::fem::blocks { // TOFIX: the source does not need to be necessarily a scalar field, it can be some other field // see if we can use {field_c} instead of {scalar_field_c} template - class SourceTermBlock : public AssemblyBlock> { + class SourceTermBlock { public: // my template parameters @@ -33,7 +33,7 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - auto compute(const element_type & element) const -> elementary_block_type override + auto compute(const element_type & element) const -> elementary_block_type { // the number of nodes per element constexpr int n_nodes = element_type::n_nodes; diff --git a/lib/mito/fem/blocks/api.h b/lib/mito/fem/blocks/api.h index 67393844..80aa5d1f 100644 --- a/lib/mito/fem/blocks/api.h +++ b/lib/mito/fem/blocks/api.h @@ -9,10 +9,6 @@ namespace mito::fem::blocks { - // assembly block - template - using assembly_block_t = AssemblyBlock; - // grad grad block template using grad_grad_block_t = GradGradBlock; diff --git a/lib/mito/fem/blocks/forward.h b/lib/mito/fem/blocks/forward.h index 39be2440..e0cae9d2 100644 --- a/lib/mito/fem/blocks/forward.h +++ b/lib/mito/fem/blocks/forward.h @@ -9,10 +9,6 @@ namespace mito::fem::blocks { - // assembly block - template - class AssemblyBlock; - // grad grad block template class GradGradBlock; diff --git a/lib/mito/fem/blocks/public.h b/lib/mito/fem/blocks/public.h index 20b5b6e9..0795215b 100644 --- a/lib/mito/fem/blocks/public.h +++ b/lib/mito/fem/blocks/public.h @@ -17,7 +17,6 @@ #include "api.h" // classes implementation -#include "AssemblyBlock.h" #include "GradGradBlock.h" #include "MassBlock.h" #include "SourceTermBlock.h" diff --git a/lib/mito/fem/factories.h b/lib/mito/fem/factories.h index edaf89b6..ff9e64b4 100644 --- a/lib/mito/fem/factories.h +++ b/lib/mito/fem/factories.h @@ -25,10 +25,10 @@ namespace mito::fem { } // weakform factory - template - constexpr auto weakform() + template + constexpr auto weakform(const lhsBlockT & lhs_block, const rhsBlockT & rhs_block) { - return weakform_t(); + return weakform_t(lhs_block, rhs_block); } // discrete system factory @@ -37,7 +37,8 @@ namespace mito::fem { const std::string & label, const functionSpaceT & function_space, const weakformT & weakform) { - return discrete_system_t(label, function_space, weakform); + return discrete_system_t( + label, function_space, weakform); } } diff --git a/lib/mito/fem/forward.h b/lib/mito/fem/forward.h index 9f312bf6..d80d11eb 100644 --- a/lib/mito/fem/forward.h +++ b/lib/mito/fem/forward.h @@ -22,12 +22,17 @@ namespace mito::fem { }(c); }; + template + concept compatible_assembly_blocks_c = + std::is_same_v; + // weakform alias - template + template + requires compatible_assembly_blocks_c class Weakform; // class discrete system - template + template class DiscreteSystem; // class domain field From 9534f28e77741e3787596ff2f34cd0eb255f043e Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Tue, 5 May 2026 10:44:56 +0200 Subject: [PATCH 25/52] manifolds: major redesign of class {Manifold} A manifold is now equipped with an {Atlas}, which provides the parametrization of elements in the manifold. The {parametrization} method has hence been removed from {GeometricSimplex}. Also, now manifolds are able to expose fully-fledged parametrized elements with attached their own metric volume form. The {Integrator} class is now fully integrated with the differential geometry layer, so it does no longer feel that things are done twice (e.g. element parametrization). The Poisson benchmark has been temporarily commented out as the function space and blocks still need to adjust to the new design. --- .cmake/mito_benchmarks_mito_lib.cmake | 2 +- .cmake/mito_tests_mito_lib.cmake | 1 + lib/mito/fem/elements/IsoparametricTriangle.h | 3 - lib/mito/geometry/GeometricSimplex.h | 24 +----- lib/mito/manifolds/Atlas.h | 83 +++++++++++++++++++ lib/mito/manifolds/Manifold.h | 67 ++++++--------- lib/mito/manifolds/ManifoldElementsView.h | 73 ++++++++++++++++ lib/mito/manifolds/ParametrizedElement.h | 77 +++++++++++++++++ lib/mito/manifolds/api.h | 22 +++++ lib/mito/manifolds/factories.h | 19 +++++ lib/mito/manifolds/forward.h | 13 +++ lib/mito/manifolds/public.h | 3 + lib/mito/quadrature/Integrator.h | 54 +++++------- .../manifolds/manifold_elements_view.cc | 62 ++++++++++++++ 14 files changed, 406 insertions(+), 97 deletions(-) create mode 100644 lib/mito/manifolds/Atlas.h create mode 100644 lib/mito/manifolds/ManifoldElementsView.h create mode 100644 lib/mito/manifolds/ParametrizedElement.h create mode 100644 tests/mito.lib/manifolds/manifold_elements_view.cc diff --git a/.cmake/mito_benchmarks_mito_lib.cmake b/.cmake/mito_benchmarks_mito_lib.cmake index 19c3b988..1b826ab4 100644 --- a/.cmake/mito_benchmarks_mito_lib.cmake +++ b/.cmake/mito_benchmarks_mito_lib.cmake @@ -22,7 +22,7 @@ mito_benchmark_driver(benchmarks/mito.lib/operators/laplacian.cc) if(WITH_PETSC) # poisson boundary value problem - mito_benchmark_driver(benchmarks/mito.lib/pdes/poisson.cc) + # mito_benchmark_driver(benchmarks/mito.lib/pdes/poisson.cc) endif() # end of file diff --git a/.cmake/mito_tests_mito_lib.cmake b/.cmake/mito_tests_mito_lib.cmake index 6e89fb09..0c813032 100644 --- a/.cmake/mito_tests_mito_lib.cmake +++ b/.cmake/mito_tests_mito_lib.cmake @@ -104,6 +104,7 @@ mito_test_driver(tests/mito.lib/fields/polar_metric_field.cc) mito_test_driver(tests/mito.lib/fields/spherical_metric_field.cc) # manifolds +mito_test_driver(tests/mito.lib/manifolds/manifold_elements_view.cc) mito_test_driver(tests/mito.lib/manifolds/euclidean_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/polar_gradient.cc) mito_test_driver(tests/mito.lib/manifolds/spherical_gradient.cc) diff --git a/lib/mito/fem/elements/IsoparametricTriangle.h b/lib/mito/fem/elements/IsoparametricTriangle.h index 5426f2ad..fe1652a9 100644 --- a/lib/mito/fem/elements/IsoparametricTriangle.h +++ b/lib/mito/fem/elements/IsoparametricTriangle.h @@ -60,9 +60,6 @@ namespace mito::fem { // get the geometric simplex constexpr auto cell() const noexcept -> const cell_type & { return _cell; } - // get the mapping from parametric coordinates to physical coordinates - constexpr auto parametrization() const { return _cell.parametrization(_coord_system); } - protected: // a const reference to the geometric simplex const cell_type & _cell; diff --git a/lib/mito/geometry/GeometricSimplex.h b/lib/mito/geometry/GeometricSimplex.h index 942b19ae..18aecd4a 100644 --- a/lib/mito/geometry/GeometricSimplex.h +++ b/lib/mito/geometry/GeometricSimplex.h @@ -134,27 +134,11 @@ namespace mito::geometry { // return the composition of this simplex in terms of its vertices constexpr auto nodes() const -> const nodes_type & { return _nodes; } - // get the parametrization of the geometric simplex in physical space - template - constexpr auto parametrization(const coordinateSystemT & coordinate_system) const -> auto + // the I-th parametric coordinate + template + constexpr auto xi() const -> auto { - // helper to assemble the parametrization on this simplex - constexpr auto _assemble = []( - const auto & nodes, const auto & coordinate_system, - tensor::integer_sequence) { - // get the origin of the coordinate system - constexpr auto origin = coordinate_system.origin(); - - // assemble the parametrization as x0 * xi<0> + ... - // where {xi} are the barycentric coordinates on the reference simplex and the - // {xa} are the position vectors of the nodes - return ( - ((reference_simplex_type::template xi - * (coordinate_system.coordinates(nodes[a]->point()) - origin))) - + ...); - }; - return _assemble( - _nodes, coordinate_system, tensor::make_integer_sequence{}); + return reference_simplex_type::template xi; } private: diff --git a/lib/mito/manifolds/Atlas.h b/lib/mito/manifolds/Atlas.h new file mode 100644 index 00000000..3c008d0b --- /dev/null +++ b/lib/mito/manifolds/Atlas.h @@ -0,0 +1,83 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::manifolds { + + template + // compatible dimension of physical embedding of cell and type of coordinates + requires(cellT::dim == coordsT::dim) + class Atlas { + public: + // the cell type + using cell_type = cellT; + // typedef for a set of coordinates + using coordinates_type = coordsT; + // typedef for a coordinates system + using coordinate_system_type = geometry::coordinate_system_t; + + public: + // the constructor + constexpr Atlas(const coordinate_system_type & coord_system) : _coord_system(coord_system) + {} + + // destructor + constexpr ~Atlas() = default; + + // delete default constructor + constexpr Atlas() noexcept = delete; + + // default move constructor + constexpr Atlas(Atlas &&) noexcept = default; + + // delete copy constructor + constexpr Atlas(const Atlas &) = delete; + + // delete assignment operator + constexpr Atlas & operator=(const Atlas &) = delete; + + // default move assignment operator + constexpr Atlas & operator=(Atlas &&) noexcept = default; + + public: + // accessor to the coordinate system + constexpr auto coordinate_system() const -> const coordinate_system_type & + { + return _coord_system; + } + + // return the parametrization of a cell in physical space + constexpr auto parametrization(const cell_type & cell) const -> auto + { + // helper to assemble the parametrization on this cell + constexpr auto _assemble = []( + const auto & cell, const auto & coord_system, + tensor::integer_sequence) { + // get the origin of the coordinate system + auto origin = coord_system.origin(); + // assemble the parametrization as x0 * xi<0> + ... + // where {xi} are the barycentric coordinates on the reference simplex and the + // {xa} are the position vectors of the nodes + return ( + ((cell.template xi() + * (coord_system.coordinates(cell.nodes()[a]->point()) - origin))) + + ...); + }; + return _assemble( + cell, _coord_system, tensor::make_integer_sequence{}); + } + + private: + // a const reference to the coordinate system + const coordinate_system_type & _coord_system; + }; + +} // namespace mito + + +// end of file diff --git a/lib/mito/manifolds/Manifold.h b/lib/mito/manifolds/Manifold.h index 3fb1b0ae..3d032bc5 100644 --- a/lib/mito/manifolds/Manifold.h +++ b/lib/mito/manifolds/Manifold.h @@ -24,23 +24,29 @@ namespace mito::manifolds { static constexpr int N = cellT::order; public: + // my type + using manifold_type = Manifold; + // my element view type + using manifold_elements_view_type = manifold_elements_view_t; // typedef for cell type using cell_type = cellT; + // typedef for a set of coordinates + using coordinates_type = coordsT; // typedef for mesh type using mesh_type = mesh::mesh_t; // typedef for the cell type using cells_type = mesh_type::cells_type; - // typedef for a set of coordinates - using coordinates_type = coordsT; + // typedef for the atlas + using atlas_type = atlas_t; // typedef for a coordinates system - using coordinate_system_type = geometry::coordinate_system_t; + using coordinate_system_type = atlas_type::coordinate_system_type; public: constexpr Manifold( const mesh_type & mesh, const coordinate_system_type & coordinate_system, volume_form_type volume_form) : _mesh(mesh), - _coordinate_system(coordinate_system), + _atlas(coordinate_system), _volume_form(volume_form) {} @@ -67,13 +73,8 @@ namespace mito::manifolds { // accessor for the mesh constexpr auto mesh() const noexcept -> const mesh_type & { return _mesh; } - // accessor for the coordinate system - constexpr auto coordinate_system() const noexcept -> const coordinate_system_type & - { - return _coordinate_system; - } - - constexpr auto elements() const noexcept -> const cells_type & { return _mesh.cells(); } + // return an iterable view of the manifold elements + constexpr auto elements() const noexcept { return manifold_elements_view_type{ *this }; } constexpr auto nElements() const noexcept -> int { return std::size(_mesh.cells()); } @@ -99,46 +100,28 @@ namespace mito::manifolds { } } - constexpr auto volume() const -> tensor::scalar_t - { - tensor::scalar_t result = 0.0; - for (const auto & cell : _mesh.cells()) { - result += volume(cell); - } - // all done - return result; - } - - // computes the volume of {cell} - constexpr auto volume(const cell_type & cell) const -> tensor::scalar_t - { - // all done - return _volume(cell, tensor::make_integer_sequence{}); - } - private: - // computes the volume of a cell - template - constexpr auto _volume(const cell_type & cell, tensor::integer_sequence) const - -> tensor::scalar_t - requires(sizeof...(J) == N) + // return the manifold element associated to a cell + constexpr auto element(const cell_type & cell) const { - // get the director edges of this cell and the point where they stem from - auto [point, directors] = mito::geometry::directors(cell, _coordinate_system); - // compute the volume of a N-order simplicial cell as (1/N!) times the volume form - // contracted with the cell directors - auto volume = 1.0 / mito::tensor::factorial() * _volume_form(point)(directors[J]...); - // all done - return volume; + // get the parametrization of this cell + auto phi = _atlas.parametrization(cell); + // get the metric volume form of this cell + auto w = _volume_form; + // assemble and return the manifold element + return parametrized_element(cell, phi, w); } private: // the underlying mesh const mesh_type & _mesh; - // the coordinate system - const coordinate_system_type & _coordinate_system; + // the atlas + atlas_type _atlas; // the volume form volume_form_type _volume_form; + + // frienship with the manifold elements view + friend manifold_elements_view_type; }; } // namespace mito diff --git a/lib/mito/manifolds/ManifoldElementsView.h b/lib/mito/manifolds/ManifoldElementsView.h new file mode 100644 index 00000000..8b0a0335 --- /dev/null +++ b/lib/mito/manifolds/ManifoldElementsView.h @@ -0,0 +1,73 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::manifolds { + + template + class ManifoldElementsView { + + private: + // my template parameter + using manifold_type = manifoldT; + // the type of the cells of the underlying mesh + using mesh_cells_type = typename manifold_type::mesh_type::cells_type; + // the type of the iterator over the cells of the underlying mesh + using mesh_cells_iterator_type = decltype(std::begin(std::declval())); + + public: + // constructor from a manifold + constexpr ManifoldElementsView(const manifoldT & manifold) : _manifold(manifold) {} + + // iterator class for the manifold elements view + class iterator { + public: + constexpr iterator(const manifold_type & manifold, mesh_cells_iterator_type cell_iter) : + _manifold(manifold), + _cell_iterator(cell_iter) + {} + + constexpr auto operator*() const { return _manifold.element(*_cell_iterator); } + + constexpr iterator & operator++() + { + ++_cell_iterator; + return *this; + } + + constexpr bool operator==(const iterator & other) const + { + return _cell_iterator == other._cell_iterator; + } + + constexpr bool operator!=(const iterator & other) const { return !(*this == other); } + + private: + const manifold_type & _manifold; + mesh_cells_iterator_type _cell_iterator; + }; + + constexpr auto begin() const + { + return iterator{ _manifold, std::begin(_manifold.mesh().cells()) }; + } + + constexpr auto end() const + { + return iterator{ _manifold, std::end(_manifold.mesh().cells()) }; + } + + private: + // the manifold whose elements I am viewing + const manifold_type & _manifold; + }; + +} // namespace mito + + +// end of file diff --git a/lib/mito/manifolds/ParametrizedElement.h b/lib/mito/manifolds/ParametrizedElement.h new file mode 100644 index 00000000..6fe2df83 --- /dev/null +++ b/lib/mito/manifolds/ParametrizedElement.h @@ -0,0 +1,77 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::manifolds { + + // Class {ParametrizedElement} represents a cell equipped with a parametrization in physical + // space and a metric volume form. + template + class ParametrizedElement { + public: + // the cell type + using cell_type = cellT; + // the parametrization type + using parametrization_type = parametrizationT; + // the metric volume form type + using metric_volume_form_type = metricVolumeFormT; + + public: + // the constructor + constexpr ParametrizedElement( + const cell_type & cell, const parametrization_type & parametrization, + const metric_volume_form_type & metric_volume_form) : + _cell(cell), + _parametrization(parametrization), + _metric_volume_form(metric_volume_form) + {} + + // destructor + constexpr ~ParametrizedElement() = default; + + // delete default constructor + constexpr ParametrizedElement() noexcept = delete; + + // default move constructor + constexpr ParametrizedElement(ParametrizedElement &&) noexcept = default; + + // delete copy constructor + constexpr ParametrizedElement(const ParametrizedElement &) = delete; + + // delete assignment operator + constexpr ParametrizedElement & operator=(const ParametrizedElement &) = delete; + + // default move assignment operator + constexpr ParametrizedElement & operator=(ParametrizedElement &&) noexcept = default; + + public: + // return the underlying cell + constexpr auto cell() const -> cell_type { return _cell; } + + // return the parametrization of this element in physical space + constexpr auto parametrization() const -> parametrization_type { return _parametrization; } + + // return the metric volume form of this element + constexpr auto metric_volume_form() const -> metric_volume_form_type + { + return _metric_volume_form; + } + + private: + // the underlying cell + cell_type _cell; + // the parametrization of the manifold element + parametrization_type _parametrization; + // the metric volume form of the manifold element + metric_volume_form_type _metric_volume_form; + }; + +} // namespace mito + + +// end of file diff --git a/lib/mito/manifolds/api.h b/lib/mito/manifolds/api.h index a899f221..012ec7a9 100644 --- a/lib/mito/manifolds/api.h +++ b/lib/mito/manifolds/api.h @@ -9,6 +9,28 @@ namespace mito::manifolds { + // atlas alias + template + using atlas_t = Atlas; + + // factory of atlases from a coordinate system + template + constexpr auto atlas(const geometry::coordinate_system_t &); + + // manifold element alias + template + using parametrized_element_t = ParametrizedElement; + + // factory of parametrized elements from a cell, a parametrization, and a metric volume form + template + constexpr auto parametrized_element( + const cellT & cell, const parametrizationT & parametrization, + const metricVolumeFormT & metric_volume_form); + + // manifold elements view alias + template + using manifold_elements_view_t = ManifoldElementsView; + // manifold alias template using manifold_t = Manifold; diff --git a/lib/mito/manifolds/factories.h b/lib/mito/manifolds/factories.h index efbd08f4..f89106a8 100644 --- a/lib/mito/manifolds/factories.h +++ b/lib/mito/manifolds/factories.h @@ -9,6 +9,25 @@ namespace mito::manifolds { + // factory of atlases from a coordinate system + template + // compatible dimension of physical embedding of cell and type of coordinates + requires(cellT::dim == coordsT::dim) + constexpr auto atlas(const geometry::coordinate_system_t & coordinate_system) + { + return atlas_t(coordinate_system); + } + + // factory of manifold elements from a cell, a parametrization, and a metric volume form + template + constexpr auto parametrized_element( + const cellT & cell, const parametrizationT & parametrization, + const metricVolumeFormT & metric_volume_form) + { + return parametrized_element_t( + cell, parametrization, metric_volume_form); + } + // factory manifold template constexpr auto manifold( diff --git a/lib/mito/manifolds/forward.h b/lib/mito/manifolds/forward.h index e2811808..382d5d5f 100644 --- a/lib/mito/manifolds/forward.h +++ b/lib/mito/manifolds/forward.h @@ -9,6 +9,19 @@ namespace mito::manifolds { + // class atlas + template + requires(cellT::dim == coordsT::dim) + class Atlas; + + // class parametrized element + template + class ParametrizedElement; + + // class manifold elements view + template + class ManifoldElementsView; + // class manifold template requires(cellT::dim == coordsT::dim) diff --git a/lib/mito/manifolds/public.h b/lib/mito/manifolds/public.h index 3604ef15..78fa171a 100644 --- a/lib/mito/manifolds/public.h +++ b/lib/mito/manifolds/public.h @@ -17,6 +17,9 @@ #include "api.h" // classes implementation +#include "Atlas.h" +#include "ParametrizedElement.h" +#include "ManifoldElementsView.h" #include "Manifold.h" // factories implementation diff --git a/lib/mito/quadrature/Integrator.h b/lib/mito/quadrature/Integrator.h index 89124595..fec2db65 100644 --- a/lib/mito/quadrature/Integrator.h +++ b/lib/mito/quadrature/Integrator.h @@ -17,7 +17,7 @@ namespace mito::quadrature { public: // publish my template parameters using manifold_type = manifoldT; - using cell_type = typename manifold_type::cell_type::simplex_type; + using cell_type = typename manifold_type::cell_type; using reference_cell_type = typename manifold_type::cell_type::reference_simplex_type; using coordinates_type = typename manifold_type::coordinates_type; @@ -28,54 +28,46 @@ namespace mito::quadrature { static constexpr auto _quadratureRule = quadrature_rule_type(); // the number of quadrature points static constexpr int Q = quadrature_rule_type::npoints; - // the quadrature field type to store the coordinates of the quadrature points - using quadrature_field_type = discrete::quadrature_field_t; - - private: - template - auto _computeQuadPointCoordinates(tensor::integer_sequence) -> void - { - // loop on elements - for (const auto & element : _manifold.elements()) { - // get element parametrization under the manifold's coordinate system - const auto parametrization = element.parametrization(_manifold.coordinate_system()); - // populate the field with the coordinates of the quadrature points in physical - // space - _coordinates.insert( - element.simplex(), { parametrization(_quadratureRule.point(q))... }); - } - - // all done - return; - } public: - Integrator(const manifold_type & manifold) : - _manifold(manifold), - _coordinates("coordinates") - { - _computeQuadPointCoordinates(tensor::make_integer_sequence{}); - } + // the constructor + Integrator(const manifold_type & manifold) : _manifold(manifold) {} + // integrate field {f} auto integrate(const fields::scalar_field_c auto & f) const -> tensor::scalar_t { + // initialize the result auto result = tensor::scalar_t{ 0.0 }; // assemble elementary contributions for (const auto & cell : _manifold.elements()) { + // get cell parametrization under the manifold's coordinate system + const auto phi = cell.parametrization(); + // compute the derivative of the cell parametrization + const auto J = functions::derivative(phi); + // get the manifold's metric volume form + const auto w = cell.metric_volume_form(); + // loop on quadrature points for (auto q = 0; q < Q; ++q) { - auto point = _coordinates(cell.simplex())[q]; - result += f(point) * _quadratureRule.weight(q) * _manifold.volume(cell); + // get the quadrature point coordinates in physical space + const auto x_q = _quadratureRule.point(q); + // get the quadrature weight and scale it by the reference simplex area + const auto w_q = + _quadratureRule.weight(q) * cell_type::reference_simplex_type::area; + // construct the metric volume element at {x} by contracting the metric volume + // form with the tangent vectors at {x} + const auto dV = w(phi(x_q))(tensor::columns(J(x_q))); + // assemble the elementary contribution + result += f(phi(x_q)) * w_q * dV; } } + // all done return result; } private: // the domain of integration const manifold_type & _manifold; - // the coordinates of the quadrature points in the domain of integration - quadrature_field_type _coordinates; }; } // namespace mito diff --git a/tests/mito.lib/manifolds/manifold_elements_view.cc b/tests/mito.lib/manifolds/manifold_elements_view.cc new file mode 100644 index 00000000..6b43c1f9 --- /dev/null +++ b/tests/mito.lib/manifolds/manifold_elements_view.cc @@ -0,0 +1,62 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +#include +#include +#include + + +// the type of coordinates +using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; + +// the metric space type +using metric_space_t = mito::geometry::metric_space; + + +TEST(Manifolds, ElementView) +{ + // the coordinate system + auto coord_system = mito::geometry::coordinate_system(); + + // an empty mesh of simplicial topology in 2D + auto mesh = mito::mesh::mesh>(); + + // build nodes + auto node_0 = mito::geometry::node(coord_system, { 0.0, 0.0 }); + auto node_1 = mito::geometry::node(coord_system, { 1.0, 0.0 }); + auto node_2 = mito::geometry::node(coord_system, { 1.0, 1.0 }); + auto node_3 = mito::geometry::node(coord_system, { 0.5, 0.5 }); + auto node_4 = mito::geometry::node(coord_system, { 0.0, 1.0 }); + + // insert triangles in mesh + mesh.insert({ node_0, node_1, node_3 }); + mesh.insert({ node_1, node_2, node_3 }); + mesh.insert({ node_2, node_4, node_3 }); + mesh.insert({ node_4, node_0, node_3 }); + + // create a manifold on {mesh} with the appropriate metric volume form + auto manifold = mito::manifolds::manifold(mesh, coord_system, metric_space_t::w); + + // compute the volume of the manifold + auto area = 0.0; + for (const auto & e : manifold.elements()) { + // get the parametrization of this element + auto phi = e.parametrization(); + // compute the derivative of the cell parametrization + const auto J = mito::functions::derivative(phi); + // get the metric volume form of this element + auto w = e.metric_volume_form(); + // get the director edges of this cell and the point where they stem from + auto [point, directors] = mito::geometry::directors(e.cell(), coord_system); + // compute the area of the cell + area += 1.0 / 2 * w(point)(directors); + } + + // check that the result of the calculation is correct + EXPECT_DOUBLE_EQ(area, 1.0); +} + + +// end of file From 9a2e96f9adeff57cbe1f33f668f92278404629b5 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Tue, 2 Jun 2026 09:26:23 +0200 Subject: [PATCH 26/52] fem/elements: consistency edits across isoparametric elements, mostly in comments --- .../elements/tri1/IsoparametricTriangleP1.h | 18 ++++++++--------- .../elements/tri2/IsoparametricTriangleP2.h | 20 +++++++++---------- 2 files changed, 19 insertions(+), 19 deletions(-) diff --git a/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h b/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h index 6364a68e..50295193 100644 --- a/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h +++ b/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h @@ -8,8 +8,8 @@ // DESIGN NOTES -// Class {IsoparametricTriangleP1} represents a second order simplex living in 2D cartesian space, -// equipped with linear shape functions defined in the parametric space. +// Class {IsoparametricTriangleP1} represents a second order simplex (triangle) living in 2D +// cartesian space, equipped with linear shape functions defined in the parametric space. namespace mito::fem { @@ -28,7 +28,7 @@ namespace mito::fem { typename canonical_element_type::parametric_coordinates_type; // the linear shape functions static constexpr auto shape_functions = shape_functions_type(); - // the number of discretization discretization nodes + // the number of discretization nodes static constexpr int n_nodes = shape_functions_type::N; // a collection of discretization discretization nodes using connectivity_type = std::array; @@ -73,10 +73,10 @@ namespace mito::fem { return shape_functions.shape(); } - // get the jacobian of the isoparametric mapping from barycentric to actual coordinates + // get the jacobian of the isoparametric mapping from parametric to actual coordinates constexpr auto jacobian() const { - // assemble the jacobian as a function of barycentric coordinates + // assemble the jacobian as a function of parametric coordinates auto jacobian_function = functions::function( [&](const parametric_coordinates_type & xi) -> tensor::matrix_t<2> { // get the shape functions derivatives @@ -84,7 +84,7 @@ namespace mito::fem { constexpr auto dphi_1 = shape_functions.dshape<1>(); constexpr auto dphi_2 = shape_functions.dshape<2>(); - // compute the gradient of the isoparametric mapping + // compute the jacobian of the isoparametric mapping return ( tensor::dyadic(_x0, dphi_0(xi)) + tensor::dyadic(_x1, dphi_1(xi)) + tensor::dyadic(_x2, dphi_2(xi))); @@ -94,18 +94,18 @@ namespace mito::fem { return jacobian_function; } - // get the gradient of the a-th shape function as a function of barycentric coordinates + // get the gradient of the a-th shape function as a function of parametric coordinates template requires(a >= 0 && a < n_nodes) constexpr auto gradient() const { - // assemble the gradient as a function of barycentric coordinates + // assemble the gradient as a function of parametric coordinates auto gradient_function = functions::function( [&](const parametric_coordinates_type & xi) -> tensor::vector_t<2> { // the jacobian of the mapping from the reference element to the physical // element evaluated at {xi} auto J = jacobian()(xi); - // the derivative of the coordinates with respect to the barycentric coordinates + // the derivative of the coordinates with respect to the parametric coordinates auto J_inv = tensor::inverse(J); // return the spatial gradients of the shape functions evaluated at {xi} return shape_functions.dshape()(xi) * J_inv; diff --git a/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h b/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h index 6a13b1fc..11f0b842 100644 --- a/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h +++ b/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h @@ -8,8 +8,8 @@ // DESIGN NOTES -// Class {IsoparametricTriangleP2} represents a second order simplex living in 2D cartesian space -// equipped with quadratic shape functions defined in the parametric space. +// Class {IsoparametricTriangleP2} represents a second order simplex (triangle) living in 2D +// cartesian space, equipped with quadratic shape functions defined in the parametric space. namespace mito::fem { @@ -23,7 +23,7 @@ namespace mito::fem { using shape_functions_type = ShapeTriangleP2; // the canonical element type using canonical_element_type = typename shape_functions_type::reference_element_type; - // type of a point in parametric coordinates + // the parametric coordinates type using parametric_coordinates_type = typename canonical_element_type::parametric_coordinates_type; // the linear shape functions @@ -43,7 +43,7 @@ namespace mito::fem { {} // destructor - ~IsoparametricTriangleP2() = default; + inline ~IsoparametricTriangleP2() = default; // delete move constructor constexpr IsoparametricTriangleP2(IsoparametricTriangleP2 &&) noexcept = delete; @@ -73,10 +73,10 @@ namespace mito::fem { return shape_functions.shape(); } - // get the jacobian of the isoparametric mapping from barycentric to actual coordinates + // get the jacobian of the isoparametric mapping from parametric to actual coordinates constexpr auto jacobian() const { - // assemble the jacobian as a function of barycentric coordinates + // assemble the jacobian as a function of parametric coordinates auto jacobian_function = functions::function( [&](const parametric_coordinates_type & xi) -> tensor::matrix_t<2> { auto x3 = 0.5 * (_x0 + _x1); @@ -91,7 +91,7 @@ namespace mito::fem { constexpr auto dphi_4 = shape_functions.dshape<4>(); constexpr auto dphi_5 = shape_functions.dshape<5>(); - // compute the gradient of the isoparametric mapping + // compute the jacobian of the isoparametric mapping return ( tensor::dyadic(_x0, dphi_0(xi)) + tensor::dyadic(_x1, dphi_1(xi)) + tensor::dyadic(_x2, dphi_2(xi)) + tensor::dyadic(x3, dphi_3(xi)) @@ -102,18 +102,18 @@ namespace mito::fem { return jacobian_function; } - // get the gradient of the a-th shape function as a function of barycentric coordinates + // get the gradient of the a-th shape function as a function of parametric coordinates template requires(a >= 0 && a < n_nodes) constexpr auto gradient() const { - // assemble the gradient as a function of barycentric coordinates + // assemble the gradient as a function of parametric coordinates auto gradient_function = functions::function( [&](const parametric_coordinates_type & xi) -> tensor::vector_t<2> { // the jacobian of the mapping from the reference element to the physical // element evaluated at {xi} auto J = jacobian()(xi); - // the derivative of the coordinates with respect to the barycentric coordinates + // the derivative of the coordinates with respect to the parametric coordinates auto J_inv = tensor::inverse(J); // return the spatial gradients of the shape functions evaluated at {xi} return shape_functions.dshape()(xi) * J_inv; From 982400af380c4e090a72558a6011a0265636bd31 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 14:08:48 +0200 Subject: [PATCH 27/52] fem/elements: major redesign of the finite elements implementation Finite elements are now templated with respect to the parametrized element, which provides the geometric context. Finite elements have now access to their own parametrization, which can be used to compute the compute the coordinates of the nodes without resorting to the coordinate system. The function space class does not store the finite elements any more, but it builds them on the fly upon request by endowing mesh cells with local element geometry information (manifold element) and shape functions. --- .cmake/mito_benchmarks_mito_lib.cmake | 2 +- benchmarks/mito.lib/pdes/poisson.cc | 2 +- lib/mito/fem/DiscreteSystem.h | 2 +- lib/mito/fem/FemField.h | 21 ++--- lib/mito/fem/FunctionSpace.h | 91 +++++++++++++------ lib/mito/fem/FunctionSpaceElementsView.h | 77 ++++++++++++++++ lib/mito/fem/Weakform.h | 11 +-- lib/mito/fem/api.h | 15 ++- lib/mito/fem/blocks/GradGradBlock.h | 6 +- lib/mito/fem/blocks/L2NormBlock.h | 6 +- lib/mito/fem/blocks/MassBlock.h | 6 +- lib/mito/fem/blocks/SourceTermBlock.h | 6 +- lib/mito/fem/elements/Discretizer.h | 10 +- lib/mito/fem/elements/IsoparametricSegment.h | 75 --------------- lib/mito/fem/elements/IsoparametricTriangle.h | 79 ---------------- lib/mito/fem/elements/api.h | 16 +++- lib/mito/fem/elements/elements_library.h | 7 ++ lib/mito/fem/elements/public.h | 2 - lib/mito/fem/elements/seg1/DiscretizerCG.h | 30 +++--- .../elements/seg1/IsoparametricSegmentP1.h | 49 +++++++--- lib/mito/fem/elements/seg1/api.h | 23 ++++- lib/mito/fem/elements/seg1/forward.h | 19 ++++ lib/mito/fem/elements/seg1/public.h | 9 +- lib/mito/fem/elements/tri1/DiscretizerCG.h | 29 +++--- .../elements/tri1/IsoparametricTriangleP1.h | 53 ++++++++--- lib/mito/fem/elements/tri1/api.h | 22 ++++- lib/mito/fem/elements/tri1/forward.h | 19 ++++ lib/mito/fem/elements/tri1/public.h | 9 +- lib/mito/fem/elements/tri2/DiscretizerCG.h | 34 +++---- .../elements/tri2/IsoparametricTriangleP2.h | 57 +++++++++--- lib/mito/fem/elements/tri2/api.h | 22 ++++- lib/mito/fem/elements/tri2/forward.h | 19 ++++ lib/mito/fem/elements/tri2/public.h | 9 +- lib/mito/fem/factories.h | 5 +- lib/mito/fem/forward.h | 24 ++--- lib/mito/fem/norms.h | 6 -- lib/mito/fem/public.h | 7 +- lib/mito/io/vtk/NodeVTKWriter.h | 3 +- lib/mito/manifolds/Manifold.h | 2 +- lib/mito/manifolds/ParametrizedElement.h | 4 +- tests/mito.lib/fem/block_grad_grad.cc | 47 ++++++---- tests/mito.lib/fem/block_grad_grad_segment.cc | 28 ++++-- tests/mito.lib/fem/block_mass.cc | 47 ++++++---- tests/mito.lib/fem/block_mass_segment.cc | 29 ++++-- tests/mito.lib/fem/fem_field.cc | 6 +- tests/mito.lib/fem/isoparametric_segment.cc | 29 ++++-- tests/mito.lib/fem/isoparametric_triangle.cc | 47 ++++++---- 47 files changed, 678 insertions(+), 443 deletions(-) create mode 100644 lib/mito/fem/FunctionSpaceElementsView.h delete mode 100644 lib/mito/fem/elements/IsoparametricSegment.h delete mode 100644 lib/mito/fem/elements/IsoparametricTriangle.h create mode 100644 lib/mito/fem/elements/seg1/forward.h create mode 100644 lib/mito/fem/elements/tri1/forward.h create mode 100644 lib/mito/fem/elements/tri2/forward.h diff --git a/.cmake/mito_benchmarks_mito_lib.cmake b/.cmake/mito_benchmarks_mito_lib.cmake index 1b826ab4..19c3b988 100644 --- a/.cmake/mito_benchmarks_mito_lib.cmake +++ b/.cmake/mito_benchmarks_mito_lib.cmake @@ -22,7 +22,7 @@ mito_benchmark_driver(benchmarks/mito.lib/operators/laplacian.cc) if(WITH_PETSC) # poisson boundary value problem - # mito_benchmark_driver(benchmarks/mito.lib/pdes/poisson.cc) + mito_benchmark_driver(benchmarks/mito.lib/pdes/poisson.cc) endif() # end of file diff --git a/benchmarks/mito.lib/pdes/poisson.cc b/benchmarks/mito.lib/pdes/poisson.cc index 465549c3..181feaa3 100644 --- a/benchmarks/mito.lib/pdes/poisson.cc +++ b/benchmarks/mito.lib/pdes/poisson.cc @@ -14,7 +14,7 @@ using cell_t = mito::geometry::triangle_t<2>; // second degree finite elements constexpr int degree = 2; // assemble the finite element type -using finite_element_t = mito::fem::isoparametric_simplex_t; +using finite_element_t = mito::fem::finite_element_family; // the reference simplex using reference_simplex_t = mito::geometry::reference_triangle_t; diff --git a/lib/mito/fem/DiscreteSystem.h b/lib/mito/fem/DiscreteSystem.h index 852671c6..6053fd04 100644 --- a/lib/mito/fem/DiscreteSystem.h +++ b/lib/mito/fem/DiscreteSystem.h @@ -37,7 +37,7 @@ namespace mito::fem { // the solution field type using solution_field_type = tensor::scalar_t; // the fem field type - using fem_field_type = fem_field_t; + using fem_field_type = fem_field_t; // the number of nodes per element static constexpr int n_element_nodes = element_type::n_nodes; diff --git a/lib/mito/fem/FemField.h b/lib/mito/fem/FemField.h index fe2d2909..7b567c62 100644 --- a/lib/mito/fem/FemField.h +++ b/lib/mito/fem/FemField.h @@ -17,7 +17,7 @@ namespace mito::fem { // TODO: implement higher-dimensional fields (e.g. vector fields, tensor fields, ...) - template + template class FemField { private: @@ -27,8 +27,6 @@ namespace mito::fem { using nodal_field_type = discrete::nodal_field_t; // the node type using node_type = typename nodal_field_type::input_type; - // the element type - using element_type = typename functionSpaceT::element_type; public: // constructor from temporary nodal field @@ -63,18 +61,19 @@ namespace mito::fem { auto nodal_values() const -> const nodal_field_type & { return _nodal_field; } // localize the field on {element} - auto localize(const element_type & element) const -> auto + // TODO: concept {finite_element_c} + template + auto localize(const elementT & element) const -> auto { + // get the connectivity table of the element + auto connectivity = element.connectivity(); + // helper lambda to assemble the field localization on {element} - constexpr auto _assemble = []( - const element_type & element, - const nodal_field_type & field, - tensor::integer_sequence) { + auto _assemble = [&](tensor::integer_sequence) { // assemble the field localization from the shape functions - return ((element.template shape() * field(element.connectivity()[a])) + ...); + return ((element.template shape() * _nodal_field(connectivity[a])) + ...); }; - return _assemble( - element, _nodal_field, tensor::make_integer_sequence{}); + return _assemble(tensor::make_integer_sequence{}); } // iterators on the nodal field diff --git a/lib/mito/fem/FunctionSpace.h b/lib/mito/fem/FunctionSpace.h index 87028808..19a4e890 100644 --- a/lib/mito/fem/FunctionSpace.h +++ b/lib/mito/fem/FunctionSpace.h @@ -12,51 +12,64 @@ namespace mito::fem { // Class {FunctionSpace} represents a collection of finite elements of order {p} defined on a // manifold and subjected to a set of constraints. // TOFIX: add concept for element type - template + template class FunctionSpace { public: - // the function space type - using function_space_type = FunctionSpace; + // my template parameter, the finite element type + using element_type = finiteElementT; + using finite_element_type = finiteElementT; + // the manifold type + using manifold_type = manifoldT; // the constraints type using constraints_type = constraintsT; - // my template parameter, the finite element type - using element_type = elementT; - // typedef for a collection of finite elements - using elements_type = utilities::segmented_vector_t; - // the degree of the finite element - static constexpr int degree = element_type::degree; + // the function space type + using function_space_type = + FunctionSpace; + + // my element view type + using finite_elements_view_type = function_space_elements_view_t; + // the dimension of the physical space - static constexpr int dim = element_type::dim; + static constexpr int dim = finite_element_type::dim; + // the mesh cell type + using mesh_cell_type = typename finite_element_type::mesh_cell_type; // assemble the mesh node type - using mesh_node_type = geometry::node_t; + using mesh_node_type = typename manifold_type::mesh_type::node_type; + // the discretization node type - using discretization_node_type = typename element_type::discretization_node_type; + using discretization_node_type = typename finite_element_type::discretization_node_type; // the constrained nodes type using constrained_nodes_type = std::set; // the type of a map between the mesh nodes and discretization nodes using map_type = std::unordered_map< mesh_node_type, discretization_node_type, utilities::hash_function>; + + // id type of a mesh cell + using cell_id_type = utilities::index_t; + // a collection of discretization discretization nodes + using connectivity_type = typename finite_element_type::connectivity_type; + // connectivity table type + using connectivity_table_type = std::unordered_map; + // a finite element field type template - using fem_field_type = fem_field_t; + using fem_field_type = fem_field_t; public: // the constructor - template < - manifolds::manifold_c manifoldT, - discretization_t discretizationT = discretization_t::CG> - // require compatibility between the manifold cell and the finite element cell - requires(std::is_same_v< - typename manifoldT::mesh_type::cell_type, typename element_type::cell_type>) - constexpr FunctionSpace(const manifoldT & manifold, const constraints_type & constraints) : - _elements(manifold.nElements()), + template + constexpr FunctionSpace( + const manifold_type & manifold, const constraints_type & constraints) : + _manifold(manifold), _constraints(constraints), + _connectivity_table(), _node_map() { + // TODO: merge the discretization type with the finite element type // discretize the manifold subject to the constraints - discretize( - manifold, constraints, _elements, _node_map, _constrained_nodes); + discretize( + manifold, constraints, _connectivity_table, _node_map, _constrained_nodes); } // destructor @@ -74,6 +87,23 @@ namespace mito::fem { // delete move assignment operator constexpr FunctionSpace & operator=(FunctionSpace &&) noexcept = delete; + public: + // accessor to the underlying manifold + constexpr auto manifold() const noexcept -> const manifold_type & { return _manifold; } + + // return an iterable view of the finite elements + constexpr auto elements() const noexcept { return finite_elements_view_type{ *this }; } + + private: + // return the finite element associated to a mesh cell + constexpr auto element(const mesh_cell_type & cell) const + { + // assemble and return the finite element from the manifold element and the localization + // of the connectivity table to this cell + return finite_element( + _manifold.element(cell), _connectivity_table.at(cell.simplex().id())); + } + public: // TOFIX: not sure this should be constexpr // accessor for the constraints @@ -82,9 +112,6 @@ namespace mito::fem { return _constraints; } - // get the finite elements - auto elements() const noexcept -> const elements_type & { return _elements; } - // get the constrained nodes constexpr auto constrained_nodes() const noexcept -> const constrained_nodes_type & { @@ -106,13 +133,11 @@ namespace mito::fem { get_discretization_nodes(*this, nodes); // build a nodal field on the discretization nodes collected from the function space - return fem_field_t( - discrete::nodal_field_t(nodes, name)); + return fem_field_type(discrete::nodal_field_t(nodes, name)); } private: - // a collection of finite elements - elements_type _elements; + const manifold_type & _manifold; // TOFIX: this should be a collection of constraints. Also, constraints may involve // different degrees of freedom (e.g. periodic boundary conditions to impose relations @@ -127,12 +152,18 @@ namespace mito::fem { // the constrained nodes constrained_nodes_type _constrained_nodes; + // the connectivity table of the finite elements + connectivity_table_type _connectivity_table; + // QUESTION: the reason why we need this map is to write the solution in the vtk writer file // (we need to know how the solution maps to the mesh nodes). I am not sure this is a good // reason to build and store this map, though. Also, if we plan to keep this map, we should // come up with a better name // a map between the mesh nodes and discretization nodes map_type _node_map; + + // frienship with the manifold elements view + friend finite_elements_view_type; }; } // namespace mito diff --git a/lib/mito/fem/FunctionSpaceElementsView.h b/lib/mito/fem/FunctionSpaceElementsView.h new file mode 100644 index 00000000..8ad7ab0b --- /dev/null +++ b/lib/mito/fem/FunctionSpaceElementsView.h @@ -0,0 +1,77 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::fem { + + template + class FunctionSpaceElementsView { + + private: + // my template parameter + using function_space_type = functionSpaceT; + // the type of the cells of the underlying mesh + using mesh_cells_type = typename function_space_type::manifold_type::mesh_type::cells_type; + // the type of the iterator over the cells of the underlying mesh + using mesh_cells_iterator_type = decltype(std::begin(std::declval())); + + public: + // constructor from a manifold + constexpr FunctionSpaceElementsView(const function_space_type & function_space) : + _function_space(function_space) + {} + + // iterator class for the manifold elements view + class iterator { + public: + constexpr iterator( + const function_space_type & function_space, mesh_cells_iterator_type cell_iter) : + _function_space(function_space), + _cell_iterator(cell_iter) + {} + + constexpr auto operator*() const { return _function_space.element(*_cell_iterator); } + + constexpr iterator & operator++() + { + ++_cell_iterator; + return *this; + } + + constexpr bool operator==(const iterator & other) const + { + return _cell_iterator == other._cell_iterator; + } + + constexpr bool operator!=(const iterator & other) const { return !(*this == other); } + + private: + const function_space_type & _function_space; + mesh_cells_iterator_type _cell_iterator; + }; + + constexpr auto begin() const + { + return iterator{ _function_space, + std::begin(_function_space.manifold().mesh().cells()) }; + } + + constexpr auto end() const + { + return iterator{ _function_space, std::end(_function_space.manifold().mesh().cells()) }; + } + + private: + // the function space whose elements I am viewing + const function_space_type & _function_space; + }; + +} // namespace mito + + +// end of file diff --git a/lib/mito/fem/Weakform.h b/lib/mito/fem/Weakform.h index d29bc5c3..a63a6b61 100644 --- a/lib/mito/fem/Weakform.h +++ b/lib/mito/fem/Weakform.h @@ -18,14 +18,10 @@ namespace mito::fem { using lhs_block_type = lhsBlockT; // the type of the right hand side assembly block using rhs_block_type = rhsBlockT; - // the element type - using element_type = typename lhsBlockT::element_type; - // the number of nodes per element - static constexpr int n_element_nodes = element_type::n_nodes; // the elementary matrix type - using elementary_matrix_type = tensor::matrix_t; + using elementary_matrix_type = typename lhs_block_type::elementary_block_type; // the elementary vector type - using elementary_vector_type = tensor::vector_t; + using elementary_vector_type = typename rhs_block_type::elementary_block_type; public: // constructor @@ -51,7 +47,8 @@ namespace mito::fem { public: // compute the elementary contributions to matrix and right-hand side from the weakform - constexpr auto compute_blocks(const element_type & element) const + template + constexpr auto compute_blocks(const elementType & element) const -> std::pair { // the elementary matrix diff --git a/lib/mito/fem/api.h b/lib/mito/fem/api.h index f07e255d..85d2e19c 100644 --- a/lib/mito/fem/api.h +++ b/lib/mito/fem/api.h @@ -10,20 +10,25 @@ namespace mito::fem { // finite element field alias - template - using fem_field_t = FemField; + template + using fem_field_t = FemField; // the possible discretization types: continuous Galerking (CG) vs. discontinuous Galerkin (DG) enum class discretization_t { CG, DG }; // function space alias - template - using function_space_t = FunctionSpace; + template + using function_space_t = FunctionSpace; // function space factory - template + template < + class elementT, manifolds::manifold_c manifoldT, constraints::constraint_c constraintsT> constexpr auto function_space(const manifoldT & manifold, const constraintsT & constraints); + // function space elements view alias + template + using function_space_elements_view_t = FunctionSpaceElementsView; + // weakform alias template using weakform_t = Weakform; diff --git a/lib/mito/fem/blocks/GradGradBlock.h b/lib/mito/fem/blocks/GradGradBlock.h index 7f34d007..43503713 100644 --- a/lib/mito/fem/blocks/GradGradBlock.h +++ b/lib/mito/fem/blocks/GradGradBlock.h @@ -24,7 +24,9 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - auto compute(const element_type & element) const -> elementary_block_type + template + requires(std::is_same_v) + auto compute(const elementType & element) const -> elementary_block_type { // the number of nodes per element constexpr int n_nodes = element_type::n_nodes; @@ -42,7 +44,7 @@ namespace mito::fem::blocks { // the quadrature weight at this point scaled with the area of the canonical simplex constexpr auto w = - element_type::canonical_element_type::area * quadrature_rule.weight(q); + elementType::canonical_element_type::area * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/blocks/L2NormBlock.h b/lib/mito/fem/blocks/L2NormBlock.h index 0a9f2faa..0e077d94 100644 --- a/lib/mito/fem/blocks/L2NormBlock.h +++ b/lib/mito/fem/blocks/L2NormBlock.h @@ -34,7 +34,9 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - auto compute(const element_type & element) const -> elementary_block_type + template + requires(std::is_same_v) + auto compute(const elementType & element) const -> elementary_block_type { // the number of quadrature points per element constexpr int n_quads = quadrature_rule_type::npoints; @@ -49,7 +51,7 @@ namespace mito::fem::blocks { // the quadrature weight at this point scaled with the area of the canonical simplex constexpr auto w = - element_type::canonical_element_type::area * quadrature_rule.weight(q); + elementType::canonical_element_type::area * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/blocks/MassBlock.h b/lib/mito/fem/blocks/MassBlock.h index 1c11a05e..094ae934 100644 --- a/lib/mito/fem/blocks/MassBlock.h +++ b/lib/mito/fem/blocks/MassBlock.h @@ -24,7 +24,9 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - auto compute(const element_type & element) const -> elementary_block_type + template + requires(std::is_same_v) + auto compute(const elementType & element) const -> elementary_block_type { // the number of nodes per element constexpr int n_nodes = element_type::n_nodes; @@ -42,7 +44,7 @@ namespace mito::fem::blocks { // the quadrature weight at this point scaled with the area of the canonical simplex constexpr auto w = - element_type::canonical_element_type::area * quadrature_rule.weight(q); + elementType::canonical_element_type::area * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/blocks/SourceTermBlock.h b/lib/mito/fem/blocks/SourceTermBlock.h index fe7df0f0..c10b4624 100644 --- a/lib/mito/fem/blocks/SourceTermBlock.h +++ b/lib/mito/fem/blocks/SourceTermBlock.h @@ -33,7 +33,9 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - auto compute(const element_type & element) const -> elementary_block_type + template + requires(std::is_same_v) + auto compute(const elementType & element) const -> elementary_block_type { // the number of nodes per element constexpr int n_nodes = element_type::n_nodes; @@ -54,7 +56,7 @@ namespace mito::fem::blocks { // the quadrature weight at this point scaled with the area of the canonical simplex constexpr auto w = - element_type::canonical_element_type::area * quadrature_rule.weight(q); + elementType::canonical_element_type::area * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/elements/Discretizer.h b/lib/mito/fem/elements/Discretizer.h index 29147573..c5c98011 100644 --- a/lib/mito/fem/elements/Discretizer.h +++ b/lib/mito/fem/elements/Discretizer.h @@ -12,20 +12,20 @@ namespace mito::fem { template struct Discretizer { template < - typename manifoldT, typename constraintsT, typename elements_type, typename map_type, - typename constrained_nodes_type> + typename manifoldT, typename constraintsT, typename connectivity_table_type, + typename map_type, typename constrained_nodes_type> static void apply( - const manifoldT &, const constraintsT &, elements_type &, map_type &, + const manifoldT &, const constraintsT &, connectivity_table_type &, map_type &, constrained_nodes_type &); }; template auto discretize( - const auto & manifold, const auto & constraints, auto & elements, auto & node_map, + const auto & manifold, const auto & constraints, auto & connectivity, auto & node_map, auto & constrained_nodes) { Discretizer::apply( - manifold, constraints, elements, node_map, constrained_nodes); + manifold, constraints, connectivity, node_map, constrained_nodes); } } diff --git a/lib/mito/fem/elements/IsoparametricSegment.h b/lib/mito/fem/elements/IsoparametricSegment.h deleted file mode 100644 index cc3b384b..00000000 --- a/lib/mito/fem/elements/IsoparametricSegment.h +++ /dev/null @@ -1,75 +0,0 @@ -// -*- c++ -*- -// -// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved -// - -// code guard -#pragma once - - -// DESIGN NOTES -// Class {IsoparametricSegment} represents a first order simplex (segment) equipped with parametric -// coordinates. - - -namespace mito::fem { - - class IsoparametricSegment : public utilities::Invalidatable { - public: - // the dimension of the physical space - static constexpr int dim = 1; - // the discretization node type - using discretization_node_type = discrete::discretization_node_t; - // the underlying cell type - using cell_type = geometry::segment_t; - - protected: - // cartesian coordinates in 1D - using coordinates_type = geometry::coordinates_t<1, geometry::CARTESIAN>; - // the coordinate system type - using coordinate_system_type = geometry::coordinate_system_t; - // the vector type - using vector_type = tensor::vector_t<1>; - - public: - // the default constructor - constexpr IsoparametricSegment( - const cell_type & cell, const coordinate_system_type & coord_system) : - _cell(cell), - _x0{ coord_system.coordinates(cell.nodes()[0]->point()) - coordinates_type{} }, - _x1{ coord_system.coordinates(cell.nodes()[1]->point()) - coordinates_type{} } - {} - - // destructor - constexpr ~IsoparametricSegment() = default; - - // delete move constructor - constexpr IsoparametricSegment(IsoparametricSegment &&) noexcept = delete; - - // delete copy constructor - constexpr IsoparametricSegment(const IsoparametricSegment &) = delete; - - // delete assignment operator - constexpr IsoparametricSegment & operator=(const IsoparametricSegment &) = delete; - - // delete move assignment operator - constexpr IsoparametricSegment & operator=(IsoparametricSegment &&) noexcept = delete; - - public: - // get the geometric simplex - constexpr auto cell() const noexcept -> const cell_type & { return _cell; } - - protected: - // QUESTION: do we need to maintain a reference to the geometric simplex? - // a const reference to the geometric simplex - const cell_type & _cell; - - // the coordinates of the discretization nodes of the segment - const vector_type _x0; - const vector_type _x1; - }; - -} // namespace mito - - -// end of file diff --git a/lib/mito/fem/elements/IsoparametricTriangle.h b/lib/mito/fem/elements/IsoparametricTriangle.h deleted file mode 100644 index fe1652a9..00000000 --- a/lib/mito/fem/elements/IsoparametricTriangle.h +++ /dev/null @@ -1,79 +0,0 @@ -// -*- c++ -*- -// -// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved -// - -// code guard -#pragma once - - -// DESIGN NOTES -// Class {IsoparametricTriangle} represents a second order simplex equipped barycentric coordinates. - - -namespace mito::fem { - - class IsoparametricTriangle : public utilities::Invalidatable { - public: - // the dimension of the physical space - static constexpr int dim = 2; - // the discretization node type - using discretization_node_type = discrete::discretization_node_t; - // the underlying cell type - using cell_type = geometry::triangle_t; - - protected: - // cartesian coordinates in 2D - using coordinates_type = geometry::coordinates_t<2, geometry::CARTESIAN>; - // the coordinate system type - using coordinate_system_type = geometry::coordinate_system_t; - // the vector type - using vector_type = tensor::vector_t<2>; - - public: - // the default constructor - constexpr IsoparametricTriangle( - const cell_type & cell, const coordinate_system_type & coord_system) : - _cell(cell), - _coord_system(coord_system), - _x0{ coord_system.coordinates(cell.nodes()[0]->point()) - coordinates_type{} }, - _x1{ coord_system.coordinates(cell.nodes()[1]->point()) - coordinates_type{} }, - _x2{ coord_system.coordinates(cell.nodes()[2]->point()) - coordinates_type{} } - {} - - // destructor - constexpr ~IsoparametricTriangle() = default; - - // delete move constructor - constexpr IsoparametricTriangle(IsoparametricTriangle &&) noexcept = delete; - - // delete copy constructor - constexpr IsoparametricTriangle(const IsoparametricTriangle &) = delete; - - // delete assignment operator - constexpr IsoparametricTriangle & operator=(const IsoparametricTriangle &) = delete; - - // delete move assignment operator - constexpr IsoparametricTriangle & operator=(IsoparametricTriangle &&) noexcept = delete; - - public: - // get the geometric simplex - constexpr auto cell() const noexcept -> const cell_type & { return _cell; } - - protected: - // a const reference to the geometric simplex - const cell_type & _cell; - - // a const reference to the coordinate system - const coordinate_system_type & _coord_system; - - // the coordinates of the discretization nodes of the triangle - const vector_type _x0; - const vector_type _x1; - const vector_type _x2; - }; - -} // namespace mito - - -// end of file diff --git a/lib/mito/fem/elements/api.h b/lib/mito/fem/elements/api.h index 89cc64b5..1890c6b4 100644 --- a/lib/mito/fem/elements/api.h +++ b/lib/mito/fem/elements/api.h @@ -9,9 +9,19 @@ namespace mito::fem { - // type alias for convenient access to the isoparametric simplex type - template - using isoparametric_simplex_t = typename isoparametric_simplex::type; + // factory of finite element from a parametrized element + template + constexpr auto finite_element( + const parametrizedElementT & element, + const typename finiteElementTraits::connectivity_type & connectivity) + { + // get the type of the finite element from the traits + using finite_element_type = + typename finiteElementTraits::template type; + + // assemble the finite element from the parametrized element and the connectivity + return finite_element_type(element, connectivity); + } } diff --git a/lib/mito/fem/elements/elements_library.h b/lib/mito/fem/elements/elements_library.h index 60e59338..22703f17 100644 --- a/lib/mito/fem/elements/elements_library.h +++ b/lib/mito/fem/elements/elements_library.h @@ -7,6 +7,13 @@ #pragma once +namespace mito::fem { + + template + struct finite_element_family; + +} + #include "seg1/public.h" #include "tri1/public.h" #include "tri2/public.h" diff --git a/lib/mito/fem/elements/public.h b/lib/mito/fem/elements/public.h index 7ed2002a..33eeb6f6 100644 --- a/lib/mito/fem/elements/public.h +++ b/lib/mito/fem/elements/public.h @@ -17,8 +17,6 @@ #include "api.h" // classes implementation -#include "IsoparametricSegment.h" -#include "IsoparametricTriangle.h" #include "Discretizer.h" // library of finite elements diff --git a/lib/mito/fem/elements/seg1/DiscretizerCG.h b/lib/mito/fem/elements/seg1/DiscretizerCG.h index 0043129d..c77b391f 100644 --- a/lib/mito/fem/elements/seg1/DiscretizerCG.h +++ b/lib/mito/fem/elements/seg1/DiscretizerCG.h @@ -9,29 +9,31 @@ namespace mito::fem { - // discretizer specialization for {IsoparametricSegmentP1} with continuous Galerkin + // discretizer specialization for a segment in 1D with order 1 continuous Galerkin template <> - struct Discretizer { + struct Discretizer, 1>, discretization_t::CG> { template < - typename manifoldT, typename constraintsT, typename elements_type, typename map_type, - typename constrained_nodes_type> + typename manifoldT, typename constraintsT, typename connectivity_table_type, + typename map_type, typename constrained_nodes_type> static void apply( - const manifoldT & manifold, const constraintsT & constraints, elements_type & elements, - map_type & node_map, constrained_nodes_type & constrained_nodes) + const manifoldT & manifold, const constraintsT & constraints, + connectivity_table_type & connectivity, map_type & node_map, + constrained_nodes_type & constrained_nodes) { + // the finite element type + using finite_element_type = finite_element_family, 1>; // the discretization node type - using discretization_node_type = - typename IsoparametricSegmentP1::discretization_node_type; + using discretization_node_type = typename finite_element_type::discretization_node_type; // the connectivity type - using connectivity_type = typename IsoparametricSegmentP1::connectivity_type; + using connectivity_type = typename finite_element_type::connectivity_type; - // get the coordinate system of the manifold - const auto & coord_system = manifold.coordinate_system(); + // loop on the elements of the manifold + for (const auto & element : manifold.elements()) { - // loop on the cells of the mesh - for (const auto & cell : manifold.elements()) { + // access the underlying cell of the element + const auto & cell = element.cell(); // get the nodes of the cell const auto & nodes = cell.nodes(); @@ -44,7 +46,7 @@ namespace mito::fem { node_map.insert({ nodes[1], discretization_node_type() }).first->second; // create a finite element for each cell and add it to the pile - elements.emplace(cell, coord_system, connectivity_type{ node_0, node_1 }); + connectivity.emplace(cell.simplex().id(), connectivity_type{ node_0, node_1 }); } // populate the constrained nodes diff --git a/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h b/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h index 9893b7fc..a8c22d5d 100644 --- a/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h +++ b/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h @@ -14,11 +14,22 @@ namespace mito::fem { - class IsoparametricSegmentP1 : public IsoparametricSegment { + template + class IsoparametricSegmentP1 : public utilities::Invalidatable { public: + // the underlying type of parametrized element + using element_type = parametrizedElementT; + // the underlying mesh cell type + using mesh_cell_type = typename element_type::cell_type; + // the degree of the finite element static constexpr int degree = 1; + // the traits of this element + using traits = finite_element_family; + // the connectivity type of the element + using connectivity_type = traits::connectivity_type; + // the type of shape functions using shape_functions_type = ShapeSegmentP1; // the canonical element type @@ -30,23 +41,23 @@ namespace mito::fem { static constexpr auto shape_functions = shape_functions_type(); // the number of discretization nodes static constexpr int n_nodes = shape_functions_type::N; - // a collection of discretization nodes - using connectivity_type = std::array; public: // the default constructor inline IsoparametricSegmentP1( - const cell_type & geometric_simplex, const coordinate_system_type & coord_system, - const connectivity_type & connectivity) : - IsoparametricSegment(geometric_simplex, coord_system), + const element_type & element, const connectivity_type & connectivity) : + _element(element), _connectivity(connectivity) - {} + { + // check consistency between the number of nodes and the number of shape functions + static_assert(n_nodes == traits::n_nodes); + } // destructor inline ~IsoparametricSegmentP1() = default; - // delete move constructor - constexpr IsoparametricSegmentP1(IsoparametricSegmentP1 &&) noexcept = delete; + // default move constructor + constexpr IsoparametricSegmentP1(IsoparametricSegmentP1 &&) noexcept = default; // delete copy constructor constexpr IsoparametricSegmentP1(const IsoparametricSegmentP1 &) = delete; @@ -64,6 +75,16 @@ namespace mito::fem { return _connectivity; } + // get the element parmetrization + constexpr auto parametrization() const noexcept + { + // delegate to the underlying element + return _element.parametrization(); + } + + // get the mesh cell + constexpr auto cell() const noexcept -> mesh_cell_type { return _element.cell(); } + // get the shape function associated with local node {a} template requires(a >= 0 && a < n_nodes) @@ -83,8 +104,12 @@ namespace mito::fem { constexpr auto dphi_0 = shape_functions.dshape<0>(); constexpr auto dphi_1 = shape_functions.dshape<1>(); + // store the coordinates of the vertices of the triangle in physical space + auto x0 = _element.parametrization()({ 0.0 }); + auto x1 = _element.parametrization()({ 1.0 }); + // compute the jacobian of the isoparametric mapping: dx/dxi - auto dx_dxi = _x0 * dphi_0(xi) + _x1 * dphi_1(xi); + auto dx_dxi = x0 * dphi_0(xi) + x1 * dphi_1(xi); // wrap the result in a 1x1 matrix return tensor::matrix_t<1>{ dx_dxi }; }); @@ -114,7 +139,9 @@ namespace mito::fem { } private: - // the discretization nodes of the simplex + // the parametrized element (geometric information) + const element_type _element; + // the finite element connectivity const connectivity_type _connectivity; }; diff --git a/lib/mito/fem/elements/seg1/api.h b/lib/mito/fem/elements/seg1/api.h index cbdd9a0e..b61c5c27 100644 --- a/lib/mito/fem/elements/seg1/api.h +++ b/lib/mito/fem/elements/seg1/api.h @@ -9,10 +9,27 @@ namespace mito::fem { - // specialization for linear shape functions on segments in 1D + // specialization of {finite_element_family} for first order segments template <> - struct isoparametric_simplex<1, geometry::segment_t<1>> { - using type = IsoparametricSegmentP1; + struct finite_element_family, 1> { + + // the dimension of the physical space + static constexpr int dim = 1; + // the underlying mesh cell type + using mesh_cell_type = geometry::segment_t; + // the degree of the finite element + static constexpr int degree = 1; + // the number of nodes per element + static constexpr int n_nodes = 2; + + // the discretization node type + using discretization_node_type = discrete::discretization_node_t; + // the connectivity type of the element + using connectivity_type = std::array; + + // the type of instances of this finite element + template + using type = IsoparametricSegmentP1; }; } diff --git a/lib/mito/fem/elements/seg1/forward.h b/lib/mito/fem/elements/seg1/forward.h new file mode 100644 index 00000000..8d151773 --- /dev/null +++ b/lib/mito/fem/elements/seg1/forward.h @@ -0,0 +1,19 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::fem { + + // forward declaration of the class {IsoparametricSegmentP1} + template + class IsoparametricSegmentP1; + +} + + +// end of file diff --git a/lib/mito/fem/elements/seg1/public.h b/lib/mito/fem/elements/seg1/public.h index 9849d6ed..9cc73241 100644 --- a/lib/mito/fem/elements/seg1/public.h +++ b/lib/mito/fem/elements/seg1/public.h @@ -7,13 +7,16 @@ #pragma once +// forward declarations +#include "forward.h" + +// published types and factories +#include "api.h" + // classes implementation #include "ShapeSegmentP1.h" #include "IsoparametricSegmentP1.h" #include "DiscretizerCG.h" -// published types and factories -#include "api.h" - // end of file diff --git a/lib/mito/fem/elements/tri1/DiscretizerCG.h b/lib/mito/fem/elements/tri1/DiscretizerCG.h index 2c4f2bc0..92782591 100644 --- a/lib/mito/fem/elements/tri1/DiscretizerCG.h +++ b/lib/mito/fem/elements/tri1/DiscretizerCG.h @@ -11,27 +11,29 @@ namespace mito::fem { // discretizer specialization for {IsoparametricTriangleP1} with continuous Galerkin template <> - struct Discretizer { + struct Discretizer, 1>, discretization_t::CG> { template < - typename manifoldT, typename constraintsT, typename elements_type, typename map_type, - typename constrained_nodes_type> + typename manifoldT, typename constraintsT, typename connectivity_table_type, + typename map_type, typename constrained_nodes_type> static void apply( - const manifoldT & manifold, const constraintsT & constraints, elements_type & elements, - map_type & node_map, constrained_nodes_type & constrained_nodes) + const manifoldT & manifold, const constraintsT & constraints, + connectivity_table_type & connectivity, map_type & node_map, + constrained_nodes_type & constrained_nodes) { + // the finite element type + using finite_element_type = finite_element_family, 1>; // the discretization node type - using discretization_node_type = - typename IsoparametricTriangleP1::discretization_node_type; + using discretization_node_type = typename finite_element_type::discretization_node_type; // the connectivity type - using connectivity_type = typename IsoparametricTriangleP1::connectivity_type; + using connectivity_type = typename finite_element_type::connectivity_type; - // get the coordinate system of the manifold - const auto & coord_system = manifold.coordinate_system(); + // loop on the elements of the manifold + for (const auto & element : manifold.elements()) { - // loop on the cells of the mesh - for (const auto & cell : manifold.elements()) { + // access the underlying cell of the element + const auto & cell = element.cell(); // get the nodes of the cell const auto & nodes = cell.nodes(); @@ -46,7 +48,8 @@ namespace mito::fem { node_map.insert({ nodes[2], discretization_node_type() }).first->second; // create a finite element for each cell and add it to the pile - elements.emplace(cell, coord_system, connectivity_type{ node_0, node_1, node_2 }); + connectivity.emplace( + cell.simplex().id(), connectivity_type{ node_0, node_1, node_2 }); } // populate the constrained nodes diff --git a/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h b/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h index 50295193..861b92a5 100644 --- a/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h +++ b/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h @@ -14,11 +14,22 @@ namespace mito::fem { - class IsoparametricTriangleP1 : public IsoparametricTriangle { + template + class IsoparametricTriangleP1 : public utilities::Invalidatable { public: + // the underlying type of parametrized element + using element_type = parametrizedElementT; + // the underlying mesh cell type + using mesh_cell_type = typename element_type::cell_type; + // the degree of the finite element static constexpr int degree = 1; + // the traits of this element + using traits = finite_element_family; + // the connectivity type of the element + using connectivity_type = traits::connectivity_type; + // the type of shape functions using shape_functions_type = ShapeTriangleP1; // the canonical element type @@ -30,23 +41,23 @@ namespace mito::fem { static constexpr auto shape_functions = shape_functions_type(); // the number of discretization nodes static constexpr int n_nodes = shape_functions_type::N; - // a collection of discretization discretization nodes - using connectivity_type = std::array; public: // the default constructor inline IsoparametricTriangleP1( - const cell_type & geometric_simplex, const coordinate_system_type & coord_system, - const connectivity_type & connectivity) : - IsoparametricTriangle(geometric_simplex, coord_system), + const element_type & element, const connectivity_type & connectivity) : + _element(element), _connectivity(connectivity) - {} + { + // check consistency between the number of nodes and the number of shape functions + static_assert(n_nodes == traits::n_nodes); + } // destructor inline ~IsoparametricTriangleP1() = default; - // delete move constructor - constexpr IsoparametricTriangleP1(IsoparametricTriangleP1 &&) noexcept = delete; + // default move constructor + constexpr IsoparametricTriangleP1(IsoparametricTriangleP1 &&) noexcept = default; // delete copy constructor constexpr IsoparametricTriangleP1(const IsoparametricTriangleP1 &) = delete; @@ -64,6 +75,16 @@ namespace mito::fem { return _connectivity; } + // get the element parmetrization + constexpr auto parametrization() const noexcept + { + // delegate to the underlying element + return _element.parametrization(); + } + + // get the mesh cell + constexpr auto cell() const noexcept -> mesh_cell_type { return _element.cell(); } + // get the shape function associated with local node {a} template requires(a >= 0 && a < n_nodes) @@ -84,10 +105,15 @@ namespace mito::fem { constexpr auto dphi_1 = shape_functions.dshape<1>(); constexpr auto dphi_2 = shape_functions.dshape<2>(); + // store the coordinates of the vertices of the triangle in physical space + auto x0 = _element.parametrization()({ 0.0, 0.0 }); + auto x1 = _element.parametrization()({ 1.0, 0.0 }); + auto x2 = _element.parametrization()({ 0.0, 1.0 }); + // compute the jacobian of the isoparametric mapping return ( - tensor::dyadic(_x0, dphi_0(xi)) + tensor::dyadic(_x1, dphi_1(xi)) - + tensor::dyadic(_x2, dphi_2(xi))); + tensor::dyadic(x0, dphi_0(xi)) + tensor::dyadic(x1, dphi_1(xi)) + + tensor::dyadic(x2, dphi_2(xi))); }); // and return it @@ -110,12 +136,15 @@ namespace mito::fem { // return the spatial gradients of the shape functions evaluated at {xi} return shape_functions.dshape()(xi) * J_inv; }); + // and return it return gradient_function; } private: - // the discretization nodes of the simplex + // the parametrized element (geometric information) + const element_type _element; + // the finite element connectivity const connectivity_type _connectivity; }; diff --git a/lib/mito/fem/elements/tri1/api.h b/lib/mito/fem/elements/tri1/api.h index 388c39f6..d2efc5f9 100644 --- a/lib/mito/fem/elements/tri1/api.h +++ b/lib/mito/fem/elements/tri1/api.h @@ -9,10 +9,26 @@ namespace mito::fem { - // specialization for linear shape functions on triangles in 2D template <> - struct isoparametric_simplex<1, geometry::triangle_t<2>> { - using type = IsoparametricTriangleP1; + struct finite_element_family, 1> { + + // the dimension of the physical space + static constexpr int dim = 2; + // the underlying mesh cell type + using mesh_cell_type = geometry::triangle_t; + // the degree of the finite element + static constexpr int degree = 1; + // the number of nodes per element + static constexpr int n_nodes = 3; + + // the discretization node type + using discretization_node_type = discrete::discretization_node_t; + // the connectivity type of the element + using connectivity_type = std::array; + + // the type of instances of this finite element + template + using type = IsoparametricTriangleP1; }; } diff --git a/lib/mito/fem/elements/tri1/forward.h b/lib/mito/fem/elements/tri1/forward.h new file mode 100644 index 00000000..becdaae0 --- /dev/null +++ b/lib/mito/fem/elements/tri1/forward.h @@ -0,0 +1,19 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::fem { + + // forward declaration of the class {IsoparametricTriangleP1} + template + class IsoparametricTriangleP1; + +} + + +// end of file diff --git a/lib/mito/fem/elements/tri1/public.h b/lib/mito/fem/elements/tri1/public.h index d5dc5c0d..3339641e 100644 --- a/lib/mito/fem/elements/tri1/public.h +++ b/lib/mito/fem/elements/tri1/public.h @@ -7,13 +7,16 @@ #pragma once +// forward declarations +#include "forward.h" + +// published types and factories +#include "api.h" + // classes implementation #include "ShapeTriangleP1.h" #include "IsoparametricTriangleP1.h" #include "DiscretizerCG.h" -// published types and factories -#include "api.h" - // end of file diff --git a/lib/mito/fem/elements/tri2/DiscretizerCG.h b/lib/mito/fem/elements/tri2/DiscretizerCG.h index 6ab25111..b6322be3 100644 --- a/lib/mito/fem/elements/tri2/DiscretizerCG.h +++ b/lib/mito/fem/elements/tri2/DiscretizerCG.h @@ -11,26 +11,26 @@ namespace mito::fem { // discretizer specialization for {IsoparametricTriangleP2} with continuous Galerkin template <> - struct Discretizer { + struct Discretizer, 2>, discretization_t::CG> { template < - typename manifoldT, typename constraintsT, typename elements_type, typename map_type, - typename constrained_nodes_type> + typename manifoldT, typename constraintsT, typename connectivity_table_type, + typename map_type, typename constrained_nodes_type> static void apply( - const manifoldT & manifold, const constraintsT & constraints, elements_type & elements, - map_type & node_map, constrained_nodes_type & constrained_nodes) + const manifoldT & manifold, const constraintsT & constraints, + connectivity_table_type & connectivity, map_type & node_map, + constrained_nodes_type & constrained_nodes) { - // the dimension of the physical space - constexpr int dim = IsoparametricTriangleP2::dim; + // the finite element type + using finite_element_type = finite_element_family, 2>; // assemble the mesh node type - using mesh_node_type = geometry::node_t; + using mesh_node_type = typename manifoldT::mesh_type::node_type; // the discretization node type - using discretization_node_type = - typename IsoparametricTriangleP2::discretization_node_type; + using discretization_node_type = typename finite_element_type::discretization_node_type; // the connectivity type - using connectivity_type = typename IsoparametricTriangleP2::connectivity_type; + using connectivity_type = typename finite_element_type::connectivity_type; // id type of mesh nodes using mesh_node_id_t = utilities::index_t; @@ -42,11 +42,11 @@ namespace mito::fem { // create a map to store the mid nodes auto mid_nodes_map = mid_nodes_map_type(); - // get the coordinate system of the manifold - const auto & coord_system = manifold.coordinate_system(); + // loop on the elements of the manifold + for (const auto & element : manifold.elements()) { - // loop on the cells of the mesh - for (const auto & cell : manifold.elements()) { + // access the underlying cell of the element + const auto & cell = element.cell(); // get the nodes of the cell const auto & nodes = cell.nodes(); @@ -77,8 +77,8 @@ namespace mito::fem { .first->second; // create a finite element for each cell and add it to the pile - elements.emplace( - cell, coord_system, + connectivity.emplace( + cell.simplex().id(), connectivity_type{ node_0, node_1, node_2, node_3, node_4, node_5 }); } diff --git a/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h b/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h index 11f0b842..8deb2d44 100644 --- a/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h +++ b/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h @@ -14,11 +14,22 @@ namespace mito::fem { - class IsoparametricTriangleP2 : public IsoparametricTriangle { + template + class IsoparametricTriangleP2 : public utilities::Invalidatable { public: + // the underlying type of parametrized element + using element_type = parametrizedElementT; + // the underlying mesh cell type + using mesh_cell_type = typename element_type::cell_type; + // the degree of the finite element static constexpr int degree = 2; + // the traits of this element + using traits = finite_element_family; + // the connectivity type of the element + using connectivity_type = traits::connectivity_type; + // the type of shape functions using shape_functions_type = ShapeTriangleP2; // the canonical element type @@ -30,23 +41,23 @@ namespace mito::fem { static constexpr auto shape_functions = shape_functions_type(); // the number of discretization nodes static constexpr int n_nodes = shape_functions_type::N; - // a collection of discretization nodes - using connectivity_type = std::array; public: // the default constructor inline IsoparametricTriangleP2( - const cell_type & geometric_simplex, const coordinate_system_type & coord_system, - const connectivity_type & connectivity) : - IsoparametricTriangle(geometric_simplex, coord_system), + const element_type & element, const connectivity_type & connectivity) : + _element(element), _connectivity(connectivity) - {} + { + // check consistency between the number of nodes and the number of shape functions + static_assert(n_nodes == traits::n_nodes); + } // destructor inline ~IsoparametricTriangleP2() = default; - // delete move constructor - constexpr IsoparametricTriangleP2(IsoparametricTriangleP2 &&) noexcept = delete; + // default move constructor + constexpr IsoparametricTriangleP2(IsoparametricTriangleP2 &&) noexcept = default; // delete copy constructor constexpr IsoparametricTriangleP2(const IsoparametricTriangleP2 &) = delete; @@ -64,6 +75,16 @@ namespace mito::fem { return _connectivity; } + // get the element parmetrization + constexpr auto parametrization() const noexcept + { + // delegate to the underlying element + return _element.parametrization(); + } + + // get the mesh cell + constexpr auto cell() const noexcept -> mesh_cell_type { return _element.cell(); } + // get the shape function associated with local node {a} template requires(a >= 0 && a < n_nodes) @@ -79,9 +100,13 @@ namespace mito::fem { // assemble the jacobian as a function of parametric coordinates auto jacobian_function = functions::function( [&](const parametric_coordinates_type & xi) -> tensor::matrix_t<2> { - auto x3 = 0.5 * (_x0 + _x1); - auto x4 = 0.5 * (_x1 + _x2); - auto x5 = 0.5 * (_x2 + _x0); + // store the coordinates of the vertices of the triangle in physical space + auto x0 = _element.parametrization()({ 0.0, 0.0 }); + auto x1 = _element.parametrization()({ 1.0, 0.0 }); + auto x2 = _element.parametrization()({ 0.0, 1.0 }); + auto x3 = 0.5 * (x0 + x1); + auto x4 = 0.5 * (x1 + x2); + auto x5 = 0.5 * (x2 + x0); // get the shape functions derivatives constexpr auto dphi_0 = shape_functions.dshape<0>(); @@ -93,8 +118,8 @@ namespace mito::fem { // compute the jacobian of the isoparametric mapping return ( - tensor::dyadic(_x0, dphi_0(xi)) + tensor::dyadic(_x1, dphi_1(xi)) - + tensor::dyadic(_x2, dphi_2(xi)) + tensor::dyadic(x3, dphi_3(xi)) + tensor::dyadic(x0, dphi_0(xi)) + tensor::dyadic(x1, dphi_1(xi)) + + tensor::dyadic(x2, dphi_2(xi)) + tensor::dyadic(x3, dphi_3(xi)) + tensor::dyadic(x4, dphi_4(xi)) + tensor::dyadic(x5, dphi_5(xi))); }); @@ -123,7 +148,9 @@ namespace mito::fem { } private: - // the discretization nodes of the simplex + // the parametrized element (geometric information) + const element_type _element; + // the finite element connectivity const connectivity_type _connectivity; }; diff --git a/lib/mito/fem/elements/tri2/api.h b/lib/mito/fem/elements/tri2/api.h index b7045d0b..396b5a08 100644 --- a/lib/mito/fem/elements/tri2/api.h +++ b/lib/mito/fem/elements/tri2/api.h @@ -9,10 +9,26 @@ namespace mito::fem { - // specialization for quadratic shape functions on triangles in 2D template <> - struct isoparametric_simplex<2, geometry::triangle_t<2>> { - using type = IsoparametricTriangleP2; + struct finite_element_family, 2> { + + // the dimension of the physical space + static constexpr int dim = 2; + // the underlying mesh cell type + using mesh_cell_type = geometry::triangle_t; + // the degree of the finite element + static constexpr int degree = 2; + // the number of nodes per element + static constexpr int n_nodes = 6; + + // the discretization node type + using discretization_node_type = discrete::discretization_node_t; + // the connectivity type of the element + using connectivity_type = std::array; + + // the type of instances of this finite element + template + using type = IsoparametricTriangleP2; }; } diff --git a/lib/mito/fem/elements/tri2/forward.h b/lib/mito/fem/elements/tri2/forward.h new file mode 100644 index 00000000..f79d2bb2 --- /dev/null +++ b/lib/mito/fem/elements/tri2/forward.h @@ -0,0 +1,19 @@ +// -*- c++ -*- +// +// Copyright (c) 2020-2026, the MiTo Authors, all rights reserved +// + +// code guard +#pragma once + + +namespace mito::fem { + + // forward declaration of the class {IsoparametricTriangleP2} + template + class IsoparametricTriangleP2; + +} + + +// end of file diff --git a/lib/mito/fem/elements/tri2/public.h b/lib/mito/fem/elements/tri2/public.h index 93dfdc49..1f46cca9 100644 --- a/lib/mito/fem/elements/tri2/public.h +++ b/lib/mito/fem/elements/tri2/public.h @@ -7,13 +7,16 @@ #pragma once +// forward declarations +#include "forward.h" + +// published types and factories +#include "api.h" + // classes implementation #include "ShapeTriangleP2.h" #include "IsoparametricTriangleP2.h" #include "DiscretizerCG.h" -// published types and factories -#include "api.h" - // end of file diff --git a/lib/mito/fem/factories.h b/lib/mito/fem/factories.h index ff9e64b4..0ddf651a 100644 --- a/lib/mito/fem/factories.h +++ b/lib/mito/fem/factories.h @@ -17,11 +17,12 @@ namespace mito::fem { template < class elementT, manifolds::manifold_c manifoldT, constraints::constraint_c constraintsT> // require compatibility between the manifold cell and the finite element cell - requires(std::is_same_v) + requires( + std::is_same_v) constexpr auto function_space(const manifoldT & manifold, const constraintsT & constraints) { // build a function space on the manifold and return it - return function_space_t(manifold, constraints); + return function_space_t(manifold, constraints); } // weakform factory diff --git a/lib/mito/fem/forward.h b/lib/mito/fem/forward.h index d80d11eb..67a167f0 100644 --- a/lib/mito/fem/forward.h +++ b/lib/mito/fem/forward.h @@ -10,18 +10,26 @@ namespace mito::fem { // class function space - template + template class FunctionSpace; // concept of a function space template concept function_space_c = requires(F c) { // require that F only binds to {FunctionSpace} specializations - []( - const FunctionSpace &) { + []( + const FunctionSpace &) { }(c); }; + // class function space elements view + template + class FunctionSpaceElementsView; + + // class function space elements view + template + class FunctionSpaceElementsView; + template concept compatible_assembly_blocks_c = std::is_same_v; @@ -40,20 +48,14 @@ namespace mito::fem { class DomainField; // class finite element field - template + template class FemField; - // concept of a localizable field - template - concept localizable_field_c = requires(const F & f, const E & e) { - { localize(f, e) }; - }; - // concept of a fem field template concept fem_field_c = requires(F c) { // require that F only binds to {FemField} specializations - [](const FemField &) { + [](const FemField &) { }(c); }; } diff --git a/lib/mito/fem/norms.h b/lib/mito/fem/norms.h index 2d4ad2d1..0eff54b6 100644 --- a/lib/mito/fem/norms.h +++ b/lib/mito/fem/norms.h @@ -11,9 +11,6 @@ namespace mito::fem { // compute L2 norm on a given function space of the difference between two localizable fields template - requires( - localizable_field_c - && localizable_field_c) constexpr auto compute_l2_norm( const functionSpaceT & function_space, const F1 & u1, const F2 & u2) -> tensor::scalar_t { @@ -40,9 +37,6 @@ namespace mito::fem { // compute H1 norm on a given function space of the difference between two localizable fields template - requires( - localizable_field_c - && localizable_field_c) constexpr auto compute_h1_norm( const functionSpaceT & function_space, const F1 & u1, const F2 & u2) -> tensor::scalar_t { diff --git a/lib/mito/fem/public.h b/lib/mito/fem/public.h index 8e1a6216..eca0d96f 100644 --- a/lib/mito/fem/public.h +++ b/lib/mito/fem/public.h @@ -22,15 +22,16 @@ // utilities implementation #include "utilities.h" +// finite elements implementation +#include "elements.h" + // classes implementation +#include "FunctionSpaceElementsView.h" #include "FunctionSpace.h" #include "FemField.h" #include "DiscreteSystem.h" #include "Weakform.h" -// finite elements implementation -#include "elements.h" - // factories implementation #include "factories.h" diff --git a/lib/mito/io/vtk/NodeVTKWriter.h b/lib/mito/io/vtk/NodeVTKWriter.h index 5d856527..3d6cc7f1 100644 --- a/lib/mito/io/vtk/NodeVTKWriter.h +++ b/lib/mito/io/vtk/NodeVTKWriter.h @@ -73,7 +73,8 @@ namespace mito::io::vtk { const auto & cell = element.cell(); // create vtk cell - auto cellVtk = vtkCellPointer(); + auto cellVtk = + vtkCellPointer(); // local index for the points of the cell auto indexLocalPointVtk = 0; diff --git a/lib/mito/manifolds/Manifold.h b/lib/mito/manifolds/Manifold.h index 3d032bc5..c2c15413 100644 --- a/lib/mito/manifolds/Manifold.h +++ b/lib/mito/manifolds/Manifold.h @@ -100,7 +100,7 @@ namespace mito::manifolds { } } - private: + public: // return the manifold element associated to a cell constexpr auto element(const cell_type & cell) const { diff --git a/lib/mito/manifolds/ParametrizedElement.h b/lib/mito/manifolds/ParametrizedElement.h index 6fe2df83..cbebb343 100644 --- a/lib/mito/manifolds/ParametrizedElement.h +++ b/lib/mito/manifolds/ParametrizedElement.h @@ -40,8 +40,8 @@ namespace mito::manifolds { // default move constructor constexpr ParametrizedElement(ParametrizedElement &&) noexcept = default; - // delete copy constructor - constexpr ParametrizedElement(const ParametrizedElement &) = delete; + // default copy constructor + constexpr ParametrizedElement(const ParametrizedElement &) = default; // delete assignment operator constexpr ParametrizedElement & operator=(const ParametrizedElement &) = delete; diff --git a/tests/mito.lib/fem/block_grad_grad.cc b/tests/mito.lib/fem/block_grad_grad.cc index 1abeab8f..7b5f4c89 100644 --- a/tests/mito.lib/fem/block_grad_grad.cc +++ b/tests/mito.lib/fem/block_grad_grad.cc @@ -9,8 +9,8 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; -// the type of coordinate system -using coord_system_t = mito::geometry::coordinate_system_t; +// the metric space type +using metric_space_t = mito::geometry::metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell @@ -28,7 +28,10 @@ constexpr auto quadrature_rule = quadrature_rule_t(); TEST(Fem, IsoparametricTriangle) { // the coordinate system - auto coord_system = coord_system_t(); + auto coord_system = mito::geometry::coordinate_system_t(); + + // an atlas under the coordinate system + auto atlas = mito::manifolds::atlas(coord_system); // build nodes auto node_0 = mito::geometry::node(coord_system, { 0.0, 0.0 }); @@ -36,25 +39,30 @@ TEST(Fem, IsoparametricTriangle) auto node_2 = mito::geometry::node(coord_system, { 0.0, 1.0 }); // make a geometric simplex - auto geometric_simplex = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); - { - // first order isoparametric triangle - using element_p1_t = mito::fem::isoparametric_simplex_t<1, cell_t>; + // make a manifold element from the segment + auto element = mito::manifolds::parametrized_element( + triangle, atlas.parametrization(triangle), metric_space_t::w); + { // build the discretization nodes auto discretization_node_0 = discretization_node_t(); auto discretization_node_1 = discretization_node_t(); auto discretization_node_2 = discretization_node_t(); + // the degree of the finite element + constexpr int degree = 1; + // assemble the finite element type + using finite_element_t = mito::fem::finite_element_family; + // a finite element - auto element_p1 = element_p1_t( - geometric_simplex, coord_system, - { discretization_node_0, discretization_node_1, discretization_node_2 }); + auto element_p1 = mito::fem::finite_element( + element, { discretization_node_0, discretization_node_1, discretization_node_2 }); // a grad-grad matrix block auto grad_grad_block = - mito::fem::blocks::grad_grad_block(); + mito::fem::blocks::grad_grad_block(); // the analytical elementary stiffness matrix auto analytical_block = 1.0 / 2.0 * mito::tensor::matrix_t<3>{ 2.0, -1.0, -1.0, -1.0, 1.0, @@ -71,9 +79,6 @@ TEST(Fem, IsoparametricTriangle) } { - // second order isoparametric triangle - using element_p2_t = mito::fem::isoparametric_simplex_t<2, cell_t>; - // build the discretization nodes auto discretization_node_0 = discretization_node_t(); auto discretization_node_1 = discretization_node_t(); @@ -82,15 +87,19 @@ TEST(Fem, IsoparametricTriangle) auto discretization_node_4 = discretization_node_t(); auto discretization_node_5 = discretization_node_t(); + // the degree of the finite element + constexpr int degree = 2; + // assemble the finite element type + using finite_element_t = mito::fem::finite_element_family; + // a finite element - auto element_p2 = element_p2_t( - geometric_simplex, coord_system, - { discretization_node_0, discretization_node_1, discretization_node_2, - discretization_node_3, discretization_node_4, discretization_node_5 }); + auto element_p2 = mito::fem::finite_element( + element, { discretization_node_0, discretization_node_1, discretization_node_2, + discretization_node_3, discretization_node_4, discretization_node_5 }); // a grad-grad matrix block auto grad_grad_block = - mito::fem::blocks::grad_grad_block(); + mito::fem::blocks::grad_grad_block(); // the analytical elementary stiffness matrix auto analytical_block = mito::tensor::matrix_t<6>{ diff --git a/tests/mito.lib/fem/block_grad_grad_segment.cc b/tests/mito.lib/fem/block_grad_grad_segment.cc index 1d6a9553..09bc8e9a 100644 --- a/tests/mito.lib/fem/block_grad_grad_segment.cc +++ b/tests/mito.lib/fem/block_grad_grad_segment.cc @@ -9,8 +9,8 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<1, mito::geometry::CARTESIAN>; -// the type of coordinate system -using coord_system_t = mito::geometry::coordinate_system_t; +// the metric space type +using metric_space_t = mito::geometry::metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell @@ -28,30 +28,38 @@ constexpr auto quadrature_rule = quadrature_rule_t(); TEST(Fem, BlockGradGradSegment) { // the coordinate system - auto coord_system = coord_system_t(); + auto coord_system = mito::geometry::coordinate_system_t(); + + // an atlas under the coordinate system + auto atlas = mito::manifolds::atlas(coord_system); // build nodes auto node_0 = mito::geometry::node(coord_system, { 0.0 }); auto node_1 = mito::geometry::node(coord_system, { 1.0 }); // make a geometric simplex - auto geometric_simplex = mito::geometry::segment<1>({ node_0, node_1 }); + auto segment = mito::geometry::segment<1>({ node_0, node_1 }); - { - // first order isoparametric segment - using element_p1_t = mito::fem::isoparametric_simplex_t<1, cell_t>; + // make a manifold element from the segment + auto element = mito::manifolds::parametrized_element( + segment, atlas.parametrization(segment), metric_space_t::w); + { // build the discretization nodes auto discretization_node_0 = discretization_node_t(); auto discretization_node_1 = discretization_node_t(); + // the degree of the finite element + constexpr int degree = 1; + // assemble the finite element type + using finite_element_t = mito::fem::finite_element_family; // a finite element - auto element_p1 = element_p1_t( - geometric_simplex, coord_system, { discretization_node_0, discretization_node_1 }); + auto element_p1 = mito::fem::finite_element( + element, { discretization_node_0, discretization_node_1 }); // a grad-grad matrix block auto grad_grad_block = - mito::fem::blocks::grad_grad_block(); + mito::fem::blocks::grad_grad_block(); // the analytical elementary stiffness matrix auto analytical_block = mito::tensor::matrix_t<2>{ 1.0, -1.0, -1.0, 1.0 }; diff --git a/tests/mito.lib/fem/block_mass.cc b/tests/mito.lib/fem/block_mass.cc index 06d19987..18500af4 100644 --- a/tests/mito.lib/fem/block_mass.cc +++ b/tests/mito.lib/fem/block_mass.cc @@ -9,8 +9,8 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; -// the type of coordinate system -using coord_system_t = mito::geometry::coordinate_system_t; +// the metric space type +using metric_space_t = mito::geometry::metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell @@ -28,7 +28,10 @@ constexpr auto quadrature_rule = quadrature_rule_t(); TEST(Fem, IsoparametricTriangle) { // the coordinate system - auto coord_system = coord_system_t(); + auto coord_system = mito::geometry::coordinate_system_t(); + + // an atlas under the coordinate system + auto atlas = mito::manifolds::atlas(coord_system); // build nodes auto node_0 = mito::geometry::node(coord_system, { 0.0, 0.0 }); @@ -36,24 +39,29 @@ TEST(Fem, IsoparametricTriangle) auto node_2 = mito::geometry::node(coord_system, { 0.0, 1.0 }); // make a geometric simplex - auto geometric_simplex = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); - { - // first order isoparametric triangle - using element_p1_t = mito::fem::isoparametric_simplex_t<1, cell_t>; + // make a manifold element from the triangle + auto element = mito::manifolds::parametrized_element( + triangle, atlas.parametrization(triangle), metric_space_t::w); + { // build the discretization nodes auto discretization_node_0 = discretization_node_t(); auto discretization_node_1 = discretization_node_t(); auto discretization_node_2 = discretization_node_t(); + // the degree of the finite element + constexpr int degree = 1; + // assemble the finite element type + using finite_element_t = mito::fem::finite_element_family; + // a finite element - auto element_p1 = element_p1_t( - geometric_simplex, coord_system, - { discretization_node_0, discretization_node_1, discretization_node_2 }); + auto element_p1 = mito::fem::finite_element( + element, { discretization_node_0, discretization_node_1, discretization_node_2 }); // a mass matrix block - auto mass_block = mito::fem::blocks::mass_block(); + auto mass_block = mito::fem::blocks::mass_block(); // the analytical elementary mass matrix auto analytical_block = @@ -70,9 +78,6 @@ TEST(Fem, IsoparametricTriangle) } { - // second order isoparametric triangle - using element_p2_t = mito::fem::isoparametric_simplex_t<2, cell_t>; - // build the discretization nodes auto discretization_node_0 = discretization_node_t(); auto discretization_node_1 = discretization_node_t(); @@ -81,14 +86,18 @@ TEST(Fem, IsoparametricTriangle) auto discretization_node_4 = discretization_node_t(); auto discretization_node_5 = discretization_node_t(); + // the degree of the finite element + constexpr int degree = 2; + // assemble the finite element type + using finite_element_t = mito::fem::finite_element_family; + // a finite element - auto element_p2 = element_p2_t( - geometric_simplex, coord_system, - { discretization_node_0, discretization_node_1, discretization_node_2, - discretization_node_3, discretization_node_4, discretization_node_5 }); + auto element_p2 = mito::fem::finite_element( + element, { discretization_node_0, discretization_node_1, discretization_node_2, + discretization_node_3, discretization_node_4, discretization_node_5 }); // a mass matrix block - auto mass_block = mito::fem::blocks::mass_block(); + auto mass_block = mito::fem::blocks::mass_block(); // the analytical elementary mass matrix auto analytical_block = mito::tensor::matrix_t<6>{ diff --git a/tests/mito.lib/fem/block_mass_segment.cc b/tests/mito.lib/fem/block_mass_segment.cc index 64602992..2a74933d 100644 --- a/tests/mito.lib/fem/block_mass_segment.cc +++ b/tests/mito.lib/fem/block_mass_segment.cc @@ -9,8 +9,8 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<1, mito::geometry::CARTESIAN>; -// the type of coordinate system -using coord_system_t = mito::geometry::coordinate_system_t; +// the metric space type +using metric_space_t = mito::geometry::metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell @@ -28,29 +28,38 @@ constexpr auto quadrature_rule = quadrature_rule_t(); TEST(Fem, BlockMassSegment) { // the coordinate system - auto coord_system = coord_system_t(); + auto coord_system = mito::geometry::coordinate_system_t(); + + // an atlas under the coordinate system + auto atlas = mito::manifolds::atlas(coord_system); // build nodes auto node_0 = mito::geometry::node(coord_system, { 0.0 }); auto node_1 = mito::geometry::node(coord_system, { 1.0 }); // make a geometric simplex - auto geometric_simplex = mito::geometry::segment<1>({ node_0, node_1 }); + auto segment = mito::geometry::segment<1>({ node_0, node_1 }); - { - // first order isoparametric segment - using element_p1_t = mito::fem::isoparametric_simplex_t<1, cell_t>; + // make a manifold element from the segment + auto element = mito::manifolds::parametrized_element( + segment, atlas.parametrization(segment), metric_space_t::w); + { // build the discretization nodes auto discretization_node_0 = discretization_node_t(); auto discretization_node_1 = discretization_node_t(); + // the degree of the finite element + constexpr int degree = 1; + // assemble the finite element type + using finite_element_t = mito::fem::finite_element_family; + // a finite element - auto element_p1 = element_p1_t( - geometric_simplex, coord_system, { discretization_node_0, discretization_node_1 }); + auto element_p1 = mito::fem::finite_element( + element, { discretization_node_0, discretization_node_1 }); // a mass matrix block - auto mass_block = mito::fem::blocks::mass_block(); + auto mass_block = mito::fem::blocks::mass_block(); // the analytical elementary mass matrix auto analytical_block = 1.0 / 6.0 * mito::tensor::matrix_t<2>{ 2.0, 1.0, 1.0, 2.0 }; diff --git a/tests/mito.lib/fem/fem_field.cc b/tests/mito.lib/fem/fem_field.cc index 99121425..2335269f 100644 --- a/tests/mito.lib/fem/fem_field.cc +++ b/tests/mito.lib/fem/fem_field.cc @@ -15,7 +15,7 @@ using cell_t = mito::geometry::triangle_t<2>; // first degree finite elements constexpr int degree = 1; // assemble the finite element type -using finite_element_t = mito::fem::isoparametric_simplex_t; +using finite_element_t = mito::fem::finite_element_family; // the x scalar field in 2D constexpr auto x = mito::functions::component; // the y scalar field in 2D @@ -59,8 +59,10 @@ TEST(Fem, FemField) // loop on all the elements of the functions space for (const auto & element : function_space.elements()) { + // get the mesh cell of the element + auto cell = element.cell(); // loop on all the nodes of the element - for (const auto & node : element.cell().nodes()) { + for (const auto & node : cell.nodes()) { // compute the coordinates of the node auto coords = coord_system.coordinates(node->point()); // set the field value at {node} diff --git a/tests/mito.lib/fem/isoparametric_segment.cc b/tests/mito.lib/fem/isoparametric_segment.cc index cdd98bbe..90e78953 100644 --- a/tests/mito.lib/fem/isoparametric_segment.cc +++ b/tests/mito.lib/fem/isoparametric_segment.cc @@ -9,8 +9,8 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<1, mito::geometry::CARTESIAN>; -// the type of coordinate system -using coord_system_t = mito::geometry::coordinate_system_t; +// the metric space type +using metric_space_t = mito::geometry::metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell @@ -90,26 +90,35 @@ test_gradient_consistency(const auto & element) TEST(Fem, IsoparametricSegment) { // the coordinate system - auto coord_system = coord_system_t(); + auto coord_system = mito::geometry::coordinate_system_t(); + + // an atlas under the coordinate system + auto atlas = mito::manifolds::atlas(coord_system); // build nodes auto node_0 = mito::geometry::node(coord_system, { 0.0 }); auto node_1 = mito::geometry::node(coord_system, { 1.0 }); // make a geometric simplex - auto geometric_simplex = mito::geometry::segment<1>({ node_0, node_1 }); + auto segment = mito::geometry::segment<1>({ node_0, node_1 }); - { - // first order isoparametric segment - using element_p1_t = mito::fem::isoparametric_simplex_t<1, cell_t>; + // make a manifold element from the segment + auto element = mito::manifolds::parametrized_element( + segment, atlas.parametrization(segment), metric_space_t::w); + { // build the discretization nodes auto discretization_node_0 = discretization_node_t(); auto discretization_node_1 = discretization_node_t(); - // a finite element - auto element_p1 = element_p1_t( - geometric_simplex, coord_system, { discretization_node_0, discretization_node_1 }); + // the degree of the finite element + constexpr int degree = 1; + // assemble the finite element type + using finite_element_t = mito::fem::finite_element_family; + + // first order isoparametric finite element + auto element_p1 = mito::fem::finite_element( + element, { discretization_node_0, discretization_node_1 }); // check that first order shape functions are a partition of unity test_partition_of_unity(element_p1); diff --git a/tests/mito.lib/fem/isoparametric_triangle.cc b/tests/mito.lib/fem/isoparametric_triangle.cc index ce16d413..c317d7ea 100644 --- a/tests/mito.lib/fem/isoparametric_triangle.cc +++ b/tests/mito.lib/fem/isoparametric_triangle.cc @@ -9,8 +9,8 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; -// the type of coordinate system -using coord_system_t = mito::geometry::coordinate_system_t; +// the metric space type +using metric_space_t = mito::geometry::metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell @@ -91,7 +91,10 @@ test_gradient_consistency(const auto & element) TEST(Fem, IsoparametricTriangle) { // the coordinate system - auto coord_system = coord_system_t(); + auto coord_system = mito::geometry::coordinate_system_t(); + + // an atlas under the coordinate system + auto atlas = mito::manifolds::atlas(coord_system); // build nodes auto node_0 = mito::geometry::node(coord_system, { 0.0, 0.0 }); @@ -99,21 +102,26 @@ TEST(Fem, IsoparametricTriangle) auto node_2 = mito::geometry::node(coord_system, { 0.0, 1.0 }); // make a geometric simplex - auto geometric_simplex = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); - { - // first order isoparametric triangle - using element_p1_t = mito::fem::isoparametric_simplex_t<1, cell_t>; + // make a manifold element from the triangle + auto element = mito::manifolds::parametrized_element( + triangle, atlas.parametrization(triangle), metric_space_t::w); + { // build the discretization nodes auto discretization_node_0 = discretization_node_t(); auto discretization_node_1 = discretization_node_t(); auto discretization_node_2 = discretization_node_t(); - // a finite element - auto element_p1 = element_p1_t( - geometric_simplex, coord_system, - { discretization_node_0, discretization_node_1, discretization_node_2 }); + // the degree of the finite element + constexpr int degree = 1; + // assemble the finite element type + using finite_element_t = mito::fem::finite_element_family; + + // first order isoparametric finite element + auto element_p1 = mito::fem::finite_element( + element, { discretization_node_0, discretization_node_1, discretization_node_2 }); // check that first order shape functions are a partition of unity test_partition_of_unity(element_p1); @@ -123,9 +131,6 @@ TEST(Fem, IsoparametricTriangle) } { - // second order isoparametric triangle - using element_p2_t = mito::fem::isoparametric_simplex_t<2, cell_t>; - // build the discretization nodes auto discretization_node_0 = discretization_node_t(); auto discretization_node_1 = discretization_node_t(); @@ -134,11 +139,15 @@ TEST(Fem, IsoparametricTriangle) auto discretization_node_4 = discretization_node_t(); auto discretization_node_5 = discretization_node_t(); - // a finite element - auto element_p2 = element_p2_t( - geometric_simplex, coord_system, - { discretization_node_0, discretization_node_1, discretization_node_2, - discretization_node_3, discretization_node_4, discretization_node_5 }); + // the degree of the finite element + constexpr int degree = 2; + // assemble the finite element type + using finite_element_t = mito::fem::finite_element_family; + + // second order isoparametric finite element + auto element_p2 = mito::fem::finite_element( + element, { discretization_node_0, discretization_node_1, discretization_node_2, + discretization_node_3, discretization_node_4, discretization_node_5 }); // check that second order shape functions are a partition of unity test_partition_of_unity(element_p2); From a5ad83336a7722be57c3deb1a3f8cd238f0a019a Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 14:23:30 +0200 Subject: [PATCH 28/52] =?UTF-8?q?tests:=20infer=20the=20reference=C2=A0sim?= =?UTF-8?q?plex=20type=20for=20the=20quadrature=20rule=20from=20the=20mesh?= =?UTF-8?q?=20cell=20when=20possible?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- benchmarks/mito.lib/pdes/poisson.cc | 2 +- tests/mito.lib/fem/block_grad_grad.cc | 2 +- tests/mito.lib/fem/block_grad_grad_segment.cc | 2 +- tests/mito.lib/fem/block_mass.cc | 2 +- tests/mito.lib/fem/block_mass_segment.cc | 2 +- tests/mito.lib/fem/isoparametric_segment.cc | 2 +- tests/mito.lib/fem/isoparametric_triangle.cc | 2 +- 7 files changed, 7 insertions(+), 7 deletions(-) diff --git a/benchmarks/mito.lib/pdes/poisson.cc b/benchmarks/mito.lib/pdes/poisson.cc index 181feaa3..85040fdf 100644 --- a/benchmarks/mito.lib/pdes/poisson.cc +++ b/benchmarks/mito.lib/pdes/poisson.cc @@ -17,7 +17,7 @@ constexpr int degree = 2; using finite_element_t = mito::fem::finite_element_family; // the reference simplex -using reference_simplex_t = mito::geometry::reference_triangle_t; +using reference_simplex_t = cell_t::reference_simplex_type; // degree of exactness for the quadrature rule constexpr int doe = 2; // Gauss quadrature on triangles with degree of exactness 2 diff --git a/tests/mito.lib/fem/block_grad_grad.cc b/tests/mito.lib/fem/block_grad_grad.cc index 7b5f4c89..ca207d8c 100644 --- a/tests/mito.lib/fem/block_grad_grad.cc +++ b/tests/mito.lib/fem/block_grad_grad.cc @@ -16,7 +16,7 @@ using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell using cell_t = mito::geometry::triangle_t<2>; // the reference simplex -using reference_simplex_t = mito::geometry::reference_triangle_t; +using reference_simplex_t = cell_t::reference_simplex_type; // Gauss quadrature on triangles with degree of exactness 4 using quadrature_rule_t = mito::quadrature::quadrature_rule_t; diff --git a/tests/mito.lib/fem/block_grad_grad_segment.cc b/tests/mito.lib/fem/block_grad_grad_segment.cc index 09bc8e9a..cfe3d336 100644 --- a/tests/mito.lib/fem/block_grad_grad_segment.cc +++ b/tests/mito.lib/fem/block_grad_grad_segment.cc @@ -16,7 +16,7 @@ using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell using cell_t = mito::geometry::segment_t<1>; // the reference simplex -using reference_simplex_t = mito::geometry::reference_segment_t; +using reference_simplex_t = cell_t::reference_simplex_type; // Gauss quadrature on segments with degree of exactness 2 using quadrature_rule_t = mito::quadrature::quadrature_rule_t; diff --git a/tests/mito.lib/fem/block_mass.cc b/tests/mito.lib/fem/block_mass.cc index 18500af4..1c5177a7 100644 --- a/tests/mito.lib/fem/block_mass.cc +++ b/tests/mito.lib/fem/block_mass.cc @@ -16,7 +16,7 @@ using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell using cell_t = mito::geometry::triangle_t<2>; // the reference simplex -using reference_simplex_t = mito::geometry::reference_triangle_t; +using reference_simplex_t = cell_t::reference_simplex_type; // Gauss quadrature on triangles with degree of exactness 4 using quadrature_rule_t = mito::quadrature::quadrature_rule_t; diff --git a/tests/mito.lib/fem/block_mass_segment.cc b/tests/mito.lib/fem/block_mass_segment.cc index 2a74933d..e9112996 100644 --- a/tests/mito.lib/fem/block_mass_segment.cc +++ b/tests/mito.lib/fem/block_mass_segment.cc @@ -16,7 +16,7 @@ using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell using cell_t = mito::geometry::segment_t<1>; // the reference simplex -using reference_simplex_t = mito::geometry::reference_segment_t; +using reference_simplex_t = cell_t::reference_simplex_type; // Gauss quadrature on segments with degree of exactness 2 using quadrature_rule_t = mito::quadrature::quadrature_rule_t; diff --git a/tests/mito.lib/fem/isoparametric_segment.cc b/tests/mito.lib/fem/isoparametric_segment.cc index 90e78953..ddbb86ca 100644 --- a/tests/mito.lib/fem/isoparametric_segment.cc +++ b/tests/mito.lib/fem/isoparametric_segment.cc @@ -16,7 +16,7 @@ using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell using cell_t = mito::geometry::segment_t<1>; // the reference simplex -using reference_simplex_t = mito::geometry::reference_segment_t; +using reference_simplex_t = cell_t::reference_simplex_type; // Gauss quadrature on segments with degree of exactness 2 using quadrature_rule_t = mito::quadrature::quadrature_rule_t; diff --git a/tests/mito.lib/fem/isoparametric_triangle.cc b/tests/mito.lib/fem/isoparametric_triangle.cc index c317d7ea..991dac20 100644 --- a/tests/mito.lib/fem/isoparametric_triangle.cc +++ b/tests/mito.lib/fem/isoparametric_triangle.cc @@ -16,7 +16,7 @@ using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell using cell_t = mito::geometry::triangle_t<2>; // the reference simplex -using reference_simplex_t = mito::geometry::reference_triangle_t; +using reference_simplex_t = cell_t::reference_simplex_type; // Gauss quadrature on triangles with degree of exactness 4 using quadrature_rule_t = mito::quadrature::quadrature_rule_t; From 20ada6c2069f6f6621ca3c2a0ec80c2e27b61a2d Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 14:40:17 +0200 Subject: [PATCH 29/52] fem: in class {FunctionSpace} replace {element_type} with {finite_element_type} --- lib/mito/fem/DiscreteSystem.h | 6 +++--- lib/mito/fem/FunctionSpace.h | 11 ++++++++++- lib/mito/fem/norms.h | 10 +++++----- lib/mito/io/vtk/NodeVTKWriter.h | 5 ++--- 4 files changed, 20 insertions(+), 12 deletions(-) diff --git a/lib/mito/fem/DiscreteSystem.h b/lib/mito/fem/DiscreteSystem.h index 6053fd04..dd4d41ad 100644 --- a/lib/mito/fem/DiscreteSystem.h +++ b/lib/mito/fem/DiscreteSystem.h @@ -19,8 +19,6 @@ namespace mito::fem { private: // the function space type using function_space_type = functionSpaceT; - // the element type - using element_type = typename function_space_type::element_type; // the weakform type using weakform_type = weakformT; // the linear system type @@ -38,8 +36,10 @@ namespace mito::fem { using solution_field_type = tensor::scalar_t; // the fem field type using fem_field_type = fem_field_t; + // the element type + using finite_element_type = typename function_space_type::finite_element_type; // the number of nodes per element - static constexpr int n_element_nodes = element_type::n_nodes; + static constexpr int n_element_nodes = finite_element_type::n_nodes; public: // constructor diff --git a/lib/mito/fem/FunctionSpace.h b/lib/mito/fem/FunctionSpace.h index 19a4e890..5edf0dcf 100644 --- a/lib/mito/fem/FunctionSpace.h +++ b/lib/mito/fem/FunctionSpace.h @@ -17,7 +17,6 @@ namespace mito::fem { public: // my template parameter, the finite element type - using element_type = finiteElementT; using finite_element_type = finiteElementT; // the manifold type using manifold_type = manifoldT; @@ -100,6 +99,8 @@ namespace mito::fem { { // assemble and return the finite element from the manifold element and the localization // of the connectivity table to this cell + // QUESTION: manifold element is morally the local geometry of the cell. Shall we call + // it that way? return finite_element( _manifold.element(cell), _connectivity_table.at(cell.simplex().id())); } @@ -137,6 +138,12 @@ namespace mito::fem { } private: + // TOFIX: similarly to the manifold, which should not own (a reference to) the mesh, the + // function space should not own (a reference to) the manifold. + // the manifold should be able to endow the mesh elements with metric information, and the + // function space should be able to endow the mesh elements with shape functions + // Then we don't even need views! + // to the manifold on which the function space is defined const manifold_type & _manifold; // TOFIX: this should be a collection of constraints. Also, constraints may involve @@ -159,6 +166,8 @@ namespace mito::fem { // (we need to know how the solution maps to the mesh nodes). I am not sure this is a good // reason to build and store this map, though. Also, if we plan to keep this map, we should // come up with a better name + // TOFIX: discretization node should be a struct containing the mesh node and the local node + // index, so that we can get rid of this map // a map between the mesh nodes and discretization nodes map_type _node_map; diff --git a/lib/mito/fem/norms.h b/lib/mito/fem/norms.h index 0eff54b6..6aa8afc1 100644 --- a/lib/mito/fem/norms.h +++ b/lib/mito/fem/norms.h @@ -15,7 +15,7 @@ namespace mito::fem { const functionSpaceT & function_space, const F1 & u1, const F2 & u2) -> tensor::scalar_t { // get the element type - using element_type = typename functionSpaceT::element_type; + using finite_element_type = typename functionSpaceT::finite_element_type; // initialize the norm auto norm = tensor::scalar_t{ 0.0 }; @@ -27,7 +27,7 @@ namespace mito::fem { // localize {u2} on this element auto u2_local = localize(u2, element); // compute the elementary contribution to the norm - norm += blocks::l2_norm_block(u1_local - u2_local) + norm += blocks::l2_norm_block(u1_local - u2_local) .compute(element); } @@ -41,7 +41,7 @@ namespace mito::fem { const functionSpaceT & function_space, const F1 & u1, const F2 & u2) -> tensor::scalar_t { // get the element type - using element_type = typename functionSpaceT::element_type; + using finite_element_type = typename functionSpaceT::finite_element_type; // initialize the norm auto norm = tensor::scalar_t{ 0.0 }; @@ -57,9 +57,9 @@ namespace mito::fem { // localize the gradient of the exact solution on this element auto u2_local_gradient = operators::gradient(u2_local); // compute the elementary contributions to the H1 norm - norm += blocks::l2_norm_block(u1_local - u2_local) + norm += blocks::l2_norm_block(u1_local - u2_local) .compute(element) - + blocks::l2_norm_block( + + blocks::l2_norm_block( u1_local_gradient - u2_local_gradient) .compute(element); } diff --git a/lib/mito/io/vtk/NodeVTKWriter.h b/lib/mito/io/vtk/NodeVTKWriter.h index 3d6cc7f1..cd41b508 100644 --- a/lib/mito/io/vtk/NodeVTKWriter.h +++ b/lib/mito/io/vtk/NodeVTKWriter.h @@ -27,7 +27,7 @@ namespace mito::io::vtk { private: // the element type - using element_type = typename grid_type::element_type; + using element_type = typename grid_type::finite_element_type::mesh_cell_type::simplex_type; // the coordinate system type using coord_system_type = coordSystemT; // the dimension of the physical space @@ -73,8 +73,7 @@ namespace mito::io::vtk { const auto & cell = element.cell(); // create vtk cell - auto cellVtk = - vtkCellPointer(); + auto cellVtk = vtkCellPointer(); // local index for the points of the cell auto indexLocalPointVtk = 0; From aaf9d26e2c0145889748283188fb3f65e3669702 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 14:46:10 +0200 Subject: [PATCH 30/52] fem/elements: in isoparametric element classes replace {element_type} with {parametrized_element_type} --- lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h | 8 ++++---- lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h | 8 ++++---- lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h | 8 ++++---- 3 files changed, 12 insertions(+), 12 deletions(-) diff --git a/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h b/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h index a8c22d5d..6bae15a0 100644 --- a/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h +++ b/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h @@ -19,9 +19,9 @@ namespace mito::fem { public: // the underlying type of parametrized element - using element_type = parametrizedElementT; + using parametrized_element_type = parametrizedElementT; // the underlying mesh cell type - using mesh_cell_type = typename element_type::cell_type; + using mesh_cell_type = typename parametrized_element_type::cell_type; // the degree of the finite element static constexpr int degree = 1; @@ -45,7 +45,7 @@ namespace mito::fem { public: // the default constructor inline IsoparametricSegmentP1( - const element_type & element, const connectivity_type & connectivity) : + const parametrized_element_type & element, const connectivity_type & connectivity) : _element(element), _connectivity(connectivity) { @@ -140,7 +140,7 @@ namespace mito::fem { private: // the parametrized element (geometric information) - const element_type _element; + const parametrized_element_type _element; // the finite element connectivity const connectivity_type _connectivity; }; diff --git a/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h b/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h index 861b92a5..86797d6e 100644 --- a/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h +++ b/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h @@ -19,9 +19,9 @@ namespace mito::fem { public: // the underlying type of parametrized element - using element_type = parametrizedElementT; + using parametrized_element_type = parametrizedElementT; // the underlying mesh cell type - using mesh_cell_type = typename element_type::cell_type; + using mesh_cell_type = typename parametrized_element_type::cell_type; // the degree of the finite element static constexpr int degree = 1; @@ -45,7 +45,7 @@ namespace mito::fem { public: // the default constructor inline IsoparametricTriangleP1( - const element_type & element, const connectivity_type & connectivity) : + const parametrized_element_type & element, const connectivity_type & connectivity) : _element(element), _connectivity(connectivity) { @@ -143,7 +143,7 @@ namespace mito::fem { private: // the parametrized element (geometric information) - const element_type _element; + const parametrized_element_type _element; // the finite element connectivity const connectivity_type _connectivity; }; diff --git a/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h b/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h index 8deb2d44..2ef55175 100644 --- a/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h +++ b/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h @@ -19,9 +19,9 @@ namespace mito::fem { public: // the underlying type of parametrized element - using element_type = parametrizedElementT; + using parametrized_element_type = parametrizedElementT; // the underlying mesh cell type - using mesh_cell_type = typename element_type::cell_type; + using mesh_cell_type = typename parametrized_element_type::cell_type; // the degree of the finite element static constexpr int degree = 2; @@ -45,7 +45,7 @@ namespace mito::fem { public: // the default constructor inline IsoparametricTriangleP2( - const element_type & element, const connectivity_type & connectivity) : + const parametrized_element_type & element, const connectivity_type & connectivity) : _element(element), _connectivity(connectivity) { @@ -149,7 +149,7 @@ namespace mito::fem { private: // the parametrized element (geometric information) - const element_type _element; + const parametrized_element_type _element; // the finite element connectivity const connectivity_type _connectivity; }; From c633547fbd8e0af4e06666e6fa0f0325b71d7873 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 15:03:31 +0200 Subject: [PATCH 31/52] geometry: remove obsolete method to instantiate a {GeometricSimplex} --- lib/mito/geometry/GeometricSimplex.h | 12 ------------ 1 file changed, 12 deletions(-) diff --git a/lib/mito/geometry/GeometricSimplex.h b/lib/mito/geometry/GeometricSimplex.h index 18aecd4a..f1d8baf6 100644 --- a/lib/mito/geometry/GeometricSimplex.h +++ b/lib/mito/geometry/GeometricSimplex.h @@ -84,18 +84,6 @@ namespace mito::geometry { } public: - // constructor with an existing oriented simplex and a collection of nodes - constexpr GeometricSimplex(const simplex_type & simplex, const nodes_type & nodes) : - Invalidatable(), - _nodes(nodes), - _simplex(simplex) - { - // check that the vertices in {nodes} match the vertices of the {simplex} within a - // positive permutation - assert(_sanity_check()); - } - - // QUESTION: do we need this method? // constructor with an existing oriented simplex and a collection of nodes constexpr GeometricSimplex(const nodes_type & nodes) : Invalidatable(), From 8006c80f6dfd61dfc30cb9a2c64053bc3acd623e Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 15:07:40 +0200 Subject: [PATCH 32/52] geometry: rename {area} to dimension-angostic {measure} in {ReferenceSimplex} --- lib/mito/fem/blocks/GradGradBlock.h | 2 +- lib/mito/fem/blocks/L2NormBlock.h | 2 +- lib/mito/fem/blocks/MassBlock.h | 2 +- lib/mito/fem/blocks/SourceTermBlock.h | 2 +- lib/mito/geometry/ReferenceSimplex.h | 4 ++-- lib/mito/quadrature/Integrator.h | 2 +- 6 files changed, 7 insertions(+), 7 deletions(-) diff --git a/lib/mito/fem/blocks/GradGradBlock.h b/lib/mito/fem/blocks/GradGradBlock.h index 43503713..2243f45f 100644 --- a/lib/mito/fem/blocks/GradGradBlock.h +++ b/lib/mito/fem/blocks/GradGradBlock.h @@ -44,7 +44,7 @@ namespace mito::fem::blocks { // the quadrature weight at this point scaled with the area of the canonical simplex constexpr auto w = - elementType::canonical_element_type::area * quadrature_rule.weight(q); + elementType::canonical_element_type::measure * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/blocks/L2NormBlock.h b/lib/mito/fem/blocks/L2NormBlock.h index 0e077d94..bb4256ac 100644 --- a/lib/mito/fem/blocks/L2NormBlock.h +++ b/lib/mito/fem/blocks/L2NormBlock.h @@ -51,7 +51,7 @@ namespace mito::fem::blocks { // the quadrature weight at this point scaled with the area of the canonical simplex constexpr auto w = - elementType::canonical_element_type::area * quadrature_rule.weight(q); + elementType::canonical_element_type::measure * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/blocks/MassBlock.h b/lib/mito/fem/blocks/MassBlock.h index 094ae934..76fbe758 100644 --- a/lib/mito/fem/blocks/MassBlock.h +++ b/lib/mito/fem/blocks/MassBlock.h @@ -44,7 +44,7 @@ namespace mito::fem::blocks { // the quadrature weight at this point scaled with the area of the canonical simplex constexpr auto w = - elementType::canonical_element_type::area * quadrature_rule.weight(q); + elementType::canonical_element_type::measure * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/blocks/SourceTermBlock.h b/lib/mito/fem/blocks/SourceTermBlock.h index c10b4624..252ec57c 100644 --- a/lib/mito/fem/blocks/SourceTermBlock.h +++ b/lib/mito/fem/blocks/SourceTermBlock.h @@ -56,7 +56,7 @@ namespace mito::fem::blocks { // the quadrature weight at this point scaled with the area of the canonical simplex constexpr auto w = - elementType::canonical_element_type::area * quadrature_rule.weight(q); + elementType::canonical_element_type::measure * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/geometry/ReferenceSimplex.h b/lib/mito/geometry/ReferenceSimplex.h index 690b699b..2f389821 100644 --- a/lib/mito/geometry/ReferenceSimplex.h +++ b/lib/mito/geometry/ReferenceSimplex.h @@ -15,8 +15,8 @@ namespace mito::geometry { // the order of the reference simplex constexpr static int order = N; - // the area of the reference simplex - constexpr static double area = 1.0 / mito::tensor::factorial(); + // the measure of the reference simplex + constexpr static double measure = 1.0 / mito::tensor::factorial(); private: // helper to compute 1 - xi0 - xi1 - ... - xi(N-1) diff --git a/lib/mito/quadrature/Integrator.h b/lib/mito/quadrature/Integrator.h index fec2db65..6be01718 100644 --- a/lib/mito/quadrature/Integrator.h +++ b/lib/mito/quadrature/Integrator.h @@ -52,7 +52,7 @@ namespace mito::quadrature { const auto x_q = _quadratureRule.point(q); // get the quadrature weight and scale it by the reference simplex area const auto w_q = - _quadratureRule.weight(q) * cell_type::reference_simplex_type::area; + _quadratureRule.weight(q) * cell_type::reference_simplex_type::measure; // construct the metric volume element at {x} by contracting the metric volume // form with the tangent vectors at {x} const auto dV = w(phi(x_q))(tensor::columns(J(x_q))); From 5883fdf510c701aa08a27d86570aa84dfc70222e Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 15:20:56 +0200 Subject: [PATCH 33/52] geometry: rename {metric_space} to {euclidean_metric_space} throughout Make explicit the assumption that the metric space to be built is Euclidean. --- .../geometry/{metric_space.h => euclidean_metric_space.h} | 8 ++++---- lib/mito/geometry/public.h | 2 +- lib/mito/manifolds/factories.h | 4 ++-- tests/mito.lib/fem/block_grad_grad.cc | 2 +- tests/mito.lib/fem/block_grad_grad_segment.cc | 2 +- tests/mito.lib/fem/block_mass.cc | 2 +- tests/mito.lib/fem/block_mass_segment.cc | 2 +- tests/mito.lib/fem/isoparametric_segment.cc | 2 +- tests/mito.lib/fem/isoparametric_triangle.cc | 2 +- tests/mito.lib/geometry/euclidean_metric_space.cc | 2 +- tests/mito.lib/geometry/polar_metric_space.cc | 2 +- tests/mito.lib/geometry/segment_2D.cc | 2 +- tests/mito.lib/geometry/spherical_metric_space.cc | 2 +- tests/mito.lib/geometry/tetrahedron_3D.cc | 2 +- tests/mito.lib/geometry/triangle_2D.cc | 2 +- tests/mito.lib/geometry/triangle_3D.cc | 2 +- tests/mito.lib/manifolds/euclidean_gradient.cc | 2 +- tests/mito.lib/manifolds/manifold_elements_view.cc | 2 +- tests/mito.lib/manifolds/polar_gradient.cc | 2 +- tests/mito.lib/manifolds/spherical_gradient.cc | 2 +- tests/mito.lib/mesh/disk_change_coordinates.cc | 2 +- tests/mito.lib/mesh/disk_polar_cartesian.cc | 2 +- tests/mito.lib/mesh/half_ball.cc | 6 ++++-- tests/mito.lib/mesh/tetra_cube_3D.cc | 2 +- tests/mito.lib/mesh/tetra_rectangle_2D.cc | 2 +- 25 files changed, 32 insertions(+), 30 deletions(-) rename lib/mito/geometry/{metric_space.h => euclidean_metric_space.h} (94%) diff --git a/lib/mito/geometry/metric_space.h b/lib/mito/geometry/euclidean_metric_space.h similarity index 94% rename from lib/mito/geometry/metric_space.h rename to lib/mito/geometry/euclidean_metric_space.h index 9a08ebfb..b9e424a3 100644 --- a/lib/mito/geometry/metric_space.h +++ b/lib/mito/geometry/euclidean_metric_space.h @@ -10,7 +10,7 @@ namespace mito::geometry { template - struct metric_space { + struct euclidean_metric_space { private: // the physical dimension of the manifold (that is that of the cell) @@ -67,7 +67,7 @@ namespace mito::geometry { template - constexpr auto metric_space::metric_equivalent( + constexpr auto euclidean_metric_space::metric_equivalent( const fields::one_form_field_c auto & one_form) { // return a vector field that, once evaluated at {x}... @@ -84,7 +84,7 @@ namespace mito::geometry { } template - constexpr auto metric_space::metric_equivalent( + constexpr auto euclidean_metric_space::metric_equivalent( const fields::vector_field_c auto & vector) { // return a one form field that, once evaluated at {x}... @@ -93,7 +93,7 @@ namespace mito::geometry { template template - constexpr auto metric_space::_one_form( + constexpr auto euclidean_metric_space::_one_form( const vectorFieldT & vector, const tensorFieldT & matrix) requires(fields::compatible_fields_c) { diff --git a/lib/mito/geometry/public.h b/lib/mito/geometry/public.h index 9d67301b..918d7735 100644 --- a/lib/mito/geometry/public.h +++ b/lib/mito/geometry/public.h @@ -19,7 +19,7 @@ // support #include "basis.h" #include "metric.h" -#include "metric_space.h" +#include "euclidean_metric_space.h" // algebra #include "algebra_coordinates.h" diff --git a/lib/mito/manifolds/factories.h b/lib/mito/manifolds/factories.h index f89106a8..4db45e42 100644 --- a/lib/mito/manifolds/factories.h +++ b/lib/mito/manifolds/factories.h @@ -51,7 +51,7 @@ namespace mito::manifolds { static_assert(mesh_type::dim == mesh_type::order); // the metric space type - using metric_space_type = geometry::metric_space; + using metric_space_type = geometry::euclidean_metric_space; // get the metric volume form constexpr auto volume_form = metric_space_type::w; @@ -75,7 +75,7 @@ namespace mito::manifolds { static_assert(mesh_type::dim - mesh_type::order == sizeof...(fieldsT)); // the metric space type - using metric_space_type = geometry::metric_space; + using metric_space_type = geometry::euclidean_metric_space; // get the metric volume form constexpr auto w = metric_space_type::w; diff --git a/tests/mito.lib/fem/block_grad_grad.cc b/tests/mito.lib/fem/block_grad_grad.cc index ca207d8c..5603340a 100644 --- a/tests/mito.lib/fem/block_grad_grad.cc +++ b/tests/mito.lib/fem/block_grad_grad.cc @@ -10,7 +10,7 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell diff --git a/tests/mito.lib/fem/block_grad_grad_segment.cc b/tests/mito.lib/fem/block_grad_grad_segment.cc index cfe3d336..190c6758 100644 --- a/tests/mito.lib/fem/block_grad_grad_segment.cc +++ b/tests/mito.lib/fem/block_grad_grad_segment.cc @@ -10,7 +10,7 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<1, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell diff --git a/tests/mito.lib/fem/block_mass.cc b/tests/mito.lib/fem/block_mass.cc index 1c5177a7..c9f2604b 100644 --- a/tests/mito.lib/fem/block_mass.cc +++ b/tests/mito.lib/fem/block_mass.cc @@ -10,7 +10,7 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell diff --git a/tests/mito.lib/fem/block_mass_segment.cc b/tests/mito.lib/fem/block_mass_segment.cc index e9112996..8d2c484d 100644 --- a/tests/mito.lib/fem/block_mass_segment.cc +++ b/tests/mito.lib/fem/block_mass_segment.cc @@ -10,7 +10,7 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<1, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell diff --git a/tests/mito.lib/fem/isoparametric_segment.cc b/tests/mito.lib/fem/isoparametric_segment.cc index ddbb86ca..53dd05df 100644 --- a/tests/mito.lib/fem/isoparametric_segment.cc +++ b/tests/mito.lib/fem/isoparametric_segment.cc @@ -10,7 +10,7 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<1, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell diff --git a/tests/mito.lib/fem/isoparametric_triangle.cc b/tests/mito.lib/fem/isoparametric_triangle.cc index 991dac20..3722233f 100644 --- a/tests/mito.lib/fem/isoparametric_triangle.cc +++ b/tests/mito.lib/fem/isoparametric_triangle.cc @@ -10,7 +10,7 @@ // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; // the type of discretization node using discretization_node_t = mito::discrete::discretization_node_t; // the type of cell diff --git a/tests/mito.lib/geometry/euclidean_metric_space.cc b/tests/mito.lib/geometry/euclidean_metric_space.cc index ac74c396..beaf199d 100644 --- a/tests/mito.lib/geometry/euclidean_metric_space.cc +++ b/tests/mito.lib/geometry/euclidean_metric_space.cc @@ -14,7 +14,7 @@ using mito::geometry::CARTESIAN; using coordinates_t = mito::geometry::coordinates_t<2, CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Manifolds, EuclideanMetricSpace) diff --git a/tests/mito.lib/geometry/polar_metric_space.cc b/tests/mito.lib/geometry/polar_metric_space.cc index 8bfcaf41..74e849f2 100644 --- a/tests/mito.lib/geometry/polar_metric_space.cc +++ b/tests/mito.lib/geometry/polar_metric_space.cc @@ -14,7 +14,7 @@ using mito::geometry::POLAR; using coordinates_t = mito::geometry::coordinates_t<2, POLAR>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Manifolds, PolarMetricSpace) diff --git a/tests/mito.lib/geometry/segment_2D.cc b/tests/mito.lib/geometry/segment_2D.cc index bb363d20..e5ced456 100644 --- a/tests/mito.lib/geometry/segment_2D.cc +++ b/tests/mito.lib/geometry/segment_2D.cc @@ -11,7 +11,7 @@ using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Geometry, Segment2D) diff --git a/tests/mito.lib/geometry/spherical_metric_space.cc b/tests/mito.lib/geometry/spherical_metric_space.cc index 929765ec..ac1faa5e 100644 --- a/tests/mito.lib/geometry/spherical_metric_space.cc +++ b/tests/mito.lib/geometry/spherical_metric_space.cc @@ -14,7 +14,7 @@ using mito::geometry::SPHERICAL; using coordinates_t = mito::geometry::coordinates_t<3, SPHERICAL>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Manifolds, SphericalMetricSpace) diff --git a/tests/mito.lib/geometry/tetrahedron_3D.cc b/tests/mito.lib/geometry/tetrahedron_3D.cc index 071b49cd..3994167b 100644 --- a/tests/mito.lib/geometry/tetrahedron_3D.cc +++ b/tests/mito.lib/geometry/tetrahedron_3D.cc @@ -11,7 +11,7 @@ using coordinates_t = mito::geometry::coordinates_t<3, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Geometry, Tetrahedron3D) diff --git a/tests/mito.lib/geometry/triangle_2D.cc b/tests/mito.lib/geometry/triangle_2D.cc index 0377cef0..c6268c58 100644 --- a/tests/mito.lib/geometry/triangle_2D.cc +++ b/tests/mito.lib/geometry/triangle_2D.cc @@ -11,7 +11,7 @@ using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Geometry, Triangle2D) diff --git a/tests/mito.lib/geometry/triangle_3D.cc b/tests/mito.lib/geometry/triangle_3D.cc index b9ef7e48..6a70237c 100644 --- a/tests/mito.lib/geometry/triangle_3D.cc +++ b/tests/mito.lib/geometry/triangle_3D.cc @@ -11,7 +11,7 @@ using coordinates_t = mito::geometry::coordinates_t<3, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Geometry, Triangle3D) diff --git a/tests/mito.lib/manifolds/euclidean_gradient.cc b/tests/mito.lib/manifolds/euclidean_gradient.cc index 6a77e91c..563de16b 100644 --- a/tests/mito.lib/manifolds/euclidean_gradient.cc +++ b/tests/mito.lib/manifolds/euclidean_gradient.cc @@ -11,7 +11,7 @@ using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Manifolds, CartesianGradient) diff --git a/tests/mito.lib/manifolds/manifold_elements_view.cc b/tests/mito.lib/manifolds/manifold_elements_view.cc index 6b43c1f9..148aa429 100644 --- a/tests/mito.lib/manifolds/manifold_elements_view.cc +++ b/tests/mito.lib/manifolds/manifold_elements_view.cc @@ -12,7 +12,7 @@ using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Manifolds, ElementView) diff --git a/tests/mito.lib/manifolds/polar_gradient.cc b/tests/mito.lib/manifolds/polar_gradient.cc index 32057c60..46442ba3 100644 --- a/tests/mito.lib/manifolds/polar_gradient.cc +++ b/tests/mito.lib/manifolds/polar_gradient.cc @@ -11,7 +11,7 @@ using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::POLAR>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; // pi sixth constexpr auto pi_sixth = std::numbers::pi / 6.0; diff --git a/tests/mito.lib/manifolds/spherical_gradient.cc b/tests/mito.lib/manifolds/spherical_gradient.cc index a1473062..d227ad94 100644 --- a/tests/mito.lib/manifolds/spherical_gradient.cc +++ b/tests/mito.lib/manifolds/spherical_gradient.cc @@ -11,7 +11,7 @@ using coordinates_t = mito::geometry::coordinates_t<3, mito::geometry::SPHERICAL>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; // pi sixth constexpr auto pi_sixth = std::numbers::pi / 6.0; diff --git a/tests/mito.lib/mesh/disk_change_coordinates.cc b/tests/mito.lib/mesh/disk_change_coordinates.cc index 5538a9c7..782375fd 100644 --- a/tests/mito.lib/mesh/disk_change_coordinates.cc +++ b/tests/mito.lib/mesh/disk_change_coordinates.cc @@ -29,7 +29,7 @@ area_change_coordinates(std::string mesh_file_name) -> mito::tensor::scalar_t auto coord_system_changed = mito::geometry::coordinate_system(coord_system); // the metric space - using metric_space_t = mito::geometry::metric_space; + using metric_space_t = mito::geometry::euclidean_metric_space; // loop over the mesh cells auto area = 0.0; diff --git a/tests/mito.lib/mesh/disk_polar_cartesian.cc b/tests/mito.lib/mesh/disk_polar_cartesian.cc index 3634cf16..7428bc4a 100644 --- a/tests/mito.lib/mesh/disk_polar_cartesian.cc +++ b/tests/mito.lib/mesh/disk_polar_cartesian.cc @@ -26,7 +26,7 @@ area(std::string mesh_file_name) -> mito::tensor::scalar_t auto mesh = mito::io::summit::reader>(filestream, coord_system); // the metric space - using metric_space_t = mito::geometry::metric_space; + using metric_space_t = mito::geometry::euclidean_metric_space; // loop over the mesh cells auto area = 0.0; diff --git a/tests/mito.lib/mesh/half_ball.cc b/tests/mito.lib/mesh/half_ball.cc index 11cd49aa..a0dc6f76 100644 --- a/tests/mito.lib/mesh/half_ball.cc +++ b/tests/mito.lib/mesh/half_ball.cc @@ -25,7 +25,8 @@ TEST(Mesh, HalfBall) mito::io::summit::reader>(fileStream, coord_system); // the metric space - using cartesian_metric_space_t = mito::geometry::metric_space; + using cartesian_metric_space_t = + mito::geometry::euclidean_metric_space; // loop over the mesh cells auto volume_cartesian = 0.0; @@ -38,7 +39,8 @@ TEST(Mesh, HalfBall) mito::geometry::coordinate_system(coord_system); // the metric space - using spherical_metric_space_t = mito::geometry::metric_space; + using spherical_metric_space_t = + mito::geometry::euclidean_metric_space; // loop over the mesh cells auto volume_spherical = 0.0; diff --git a/tests/mito.lib/mesh/tetra_cube_3D.cc b/tests/mito.lib/mesh/tetra_cube_3D.cc index 50efc071..ff9aa145 100644 --- a/tests/mito.lib/mesh/tetra_cube_3D.cc +++ b/tests/mito.lib/mesh/tetra_cube_3D.cc @@ -13,7 +13,7 @@ using coordinates_t = mito::geometry::coordinates_t<3, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Tetra, Cube) diff --git a/tests/mito.lib/mesh/tetra_rectangle_2D.cc b/tests/mito.lib/mesh/tetra_rectangle_2D.cc index 75b3bfaa..6d2cfc37 100644 --- a/tests/mito.lib/mesh/tetra_rectangle_2D.cc +++ b/tests/mito.lib/mesh/tetra_rectangle_2D.cc @@ -12,7 +12,7 @@ using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; // the metric space type -using metric_space_t = mito::geometry::metric_space; +using metric_space_t = mito::geometry::euclidean_metric_space; TEST(Tetra, Rectangle) From 24b1ae1656e556a7045a4544ae2dfb6528723f54 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 15:35:23 +0200 Subject: [PATCH 34/52] geometry: in factory methods {segment}, {triangle}, and {tetrahedron} infer the space dimension from the value of {D} of {node_t} --- lib/mito/geometry/factories.h | 16 +++--- tests/mito.lib/fem/block_grad_grad.cc | 2 +- tests/mito.lib/fem/block_grad_grad_segment.cc | 2 +- tests/mito.lib/fem/block_mass.cc | 2 +- tests/mito.lib/fem/block_mass_segment.cc | 2 +- tests/mito.lib/fem/isoparametric_segment.cc | 2 +- tests/mito.lib/fem/isoparametric_triangle.cc | 2 +- .../geometry/barycenter_segment_1D.cc | 2 +- .../geometry/barycenter_segment_2D.cc | 2 +- .../geometry/barycenter_segment_3D.cc | 2 +- .../geometry/barycenter_tetrahedron_3D.cc | 2 +- .../geometry/barycenter_triangle_2D.cc | 2 +- .../geometry/barycenter_triangle_3D.cc | 2 +- tests/mito.lib/geometry/cell_directors.cc | 6 +-- tests/mito.lib/geometry/segment_2D.cc | 2 +- tests/mito.lib/geometry/tetrahedron_3D.cc | 50 +++++++++---------- tests/mito.lib/geometry/triangle_2D.cc | 12 ++--- tests/mito.lib/geometry/triangle_3D.cc | 2 +- .../integration/quadrature_flip_segment_3D.cc | 2 +- .../quadrature/quadrature_segment_3D.cc | 2 +- 20 files changed, 59 insertions(+), 57 deletions(-) diff --git a/lib/mito/geometry/factories.h b/lib/mito/geometry/factories.h index 2de98c03..4e714ffb 100644 --- a/lib/mito/geometry/factories.h +++ b/lib/mito/geometry/factories.h @@ -53,32 +53,34 @@ namespace mito::geometry { // segment factory template - constexpr auto segment(typename geometric_simplex_t<1, D>::nodes_type && nodes) + constexpr auto segment(const node_t & node_0, const node_t & node_1) -> geometric_simplex_t<1, D> requires(D >= 1) { // all done - return geometric_simplex_t<1, D>(std::move(nodes)); + return geometric_simplex_t<1, D>({ node_0, node_1 }); } // triangle factory template - constexpr auto triangle(typename geometric_simplex_t<2, D>::nodes_type && nodes) + constexpr auto triangle( + const node_t & node_0, const node_t & node_1, const node_t & node_2) -> geometric_simplex_t<2, D> requires(D >= 2) { // all done - return geometric_simplex_t<2, D>(std::move(nodes)); + return geometric_simplex_t<2, D>({ node_0, node_1, node_2 }); } // tetrahedron factory template - constexpr auto tetrahedron(typename geometric_simplex_t<3, D>::nodes_type && nodes) - -> geometric_simplex_t<3, D> + constexpr auto tetrahedron( + const node_t & node_0, const node_t & node_1, const node_t & node_2, + const node_t & node_3) -> geometric_simplex_t<3, D> requires(D >= 3) { // all done - return geometric_simplex_t<3, D>(std::move(nodes)); + return geometric_simplex_t<3, D>({ node_0, node_1, node_2, node_3 }); } } diff --git a/tests/mito.lib/fem/block_grad_grad.cc b/tests/mito.lib/fem/block_grad_grad.cc index 5603340a..1733e0b7 100644 --- a/tests/mito.lib/fem/block_grad_grad.cc +++ b/tests/mito.lib/fem/block_grad_grad.cc @@ -39,7 +39,7 @@ TEST(Fem, IsoparametricTriangle) auto node_2 = mito::geometry::node(coord_system, { 0.0, 1.0 }); // make a geometric simplex - auto triangle = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle(node_0, node_1, node_2); // make a manifold element from the segment auto element = mito::manifolds::parametrized_element( diff --git a/tests/mito.lib/fem/block_grad_grad_segment.cc b/tests/mito.lib/fem/block_grad_grad_segment.cc index 190c6758..b098e52a 100644 --- a/tests/mito.lib/fem/block_grad_grad_segment.cc +++ b/tests/mito.lib/fem/block_grad_grad_segment.cc @@ -38,7 +38,7 @@ TEST(Fem, BlockGradGradSegment) auto node_1 = mito::geometry::node(coord_system, { 1.0 }); // make a geometric simplex - auto segment = mito::geometry::segment<1>({ node_0, node_1 }); + auto segment = mito::geometry::segment(node_0, node_1); // make a manifold element from the segment auto element = mito::manifolds::parametrized_element( diff --git a/tests/mito.lib/fem/block_mass.cc b/tests/mito.lib/fem/block_mass.cc index c9f2604b..722a44d6 100644 --- a/tests/mito.lib/fem/block_mass.cc +++ b/tests/mito.lib/fem/block_mass.cc @@ -39,7 +39,7 @@ TEST(Fem, IsoparametricTriangle) auto node_2 = mito::geometry::node(coord_system, { 0.0, 1.0 }); // make a geometric simplex - auto triangle = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle(node_0, node_1, node_2); // make a manifold element from the triangle auto element = mito::manifolds::parametrized_element( diff --git a/tests/mito.lib/fem/block_mass_segment.cc b/tests/mito.lib/fem/block_mass_segment.cc index 8d2c484d..a245108d 100644 --- a/tests/mito.lib/fem/block_mass_segment.cc +++ b/tests/mito.lib/fem/block_mass_segment.cc @@ -38,7 +38,7 @@ TEST(Fem, BlockMassSegment) auto node_1 = mito::geometry::node(coord_system, { 1.0 }); // make a geometric simplex - auto segment = mito::geometry::segment<1>({ node_0, node_1 }); + auto segment = mito::geometry::segment(node_0, node_1); // make a manifold element from the segment auto element = mito::manifolds::parametrized_element( diff --git a/tests/mito.lib/fem/isoparametric_segment.cc b/tests/mito.lib/fem/isoparametric_segment.cc index 53dd05df..2205a710 100644 --- a/tests/mito.lib/fem/isoparametric_segment.cc +++ b/tests/mito.lib/fem/isoparametric_segment.cc @@ -100,7 +100,7 @@ TEST(Fem, IsoparametricSegment) auto node_1 = mito::geometry::node(coord_system, { 1.0 }); // make a geometric simplex - auto segment = mito::geometry::segment<1>({ node_0, node_1 }); + auto segment = mito::geometry::segment(node_0, node_1); // make a manifold element from the segment auto element = mito::manifolds::parametrized_element( diff --git a/tests/mito.lib/fem/isoparametric_triangle.cc b/tests/mito.lib/fem/isoparametric_triangle.cc index 3722233f..e98a91c6 100644 --- a/tests/mito.lib/fem/isoparametric_triangle.cc +++ b/tests/mito.lib/fem/isoparametric_triangle.cc @@ -102,7 +102,7 @@ TEST(Fem, IsoparametricTriangle) auto node_2 = mito::geometry::node(coord_system, { 0.0, 1.0 }); // make a geometric simplex - auto triangle = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle(node_0, node_1, node_2); // make a manifold element from the triangle auto element = mito::manifolds::parametrized_element( diff --git a/tests/mito.lib/geometry/barycenter_segment_1D.cc b/tests/mito.lib/geometry/barycenter_segment_1D.cc index 4bf641cd..1e86afa2 100644 --- a/tests/mito.lib/geometry/barycenter_segment_1D.cc +++ b/tests/mito.lib/geometry/barycenter_segment_1D.cc @@ -21,7 +21,7 @@ TEST(Barycenter, Segment1D) auto node_1 = mito::geometry::node(coord_system, { 1.0 }); // build a segment embedded in 1D - auto segment = mito::geometry::segment<1>({ node_0, node_1 }); + auto segment = mito::geometry::segment(node_0, node_1); // compute the barycenter position auto barycenter = mito::geometry::barycenter(segment, coord_system); diff --git a/tests/mito.lib/geometry/barycenter_segment_2D.cc b/tests/mito.lib/geometry/barycenter_segment_2D.cc index 9531a989..839d3bee 100644 --- a/tests/mito.lib/geometry/barycenter_segment_2D.cc +++ b/tests/mito.lib/geometry/barycenter_segment_2D.cc @@ -21,7 +21,7 @@ TEST(Barycenter, Segment2D) auto node_1 = mito::geometry::node(coord_system, { 1.0, 0.0 }); // build a segment embedded in 2D - auto segment = mito::geometry::segment<2>({ node_0, node_1 }); + auto segment = mito::geometry::segment(node_0, node_1); // compute the barycenter position auto barycenter = mito::geometry::barycenter(segment, coord_system); diff --git a/tests/mito.lib/geometry/barycenter_segment_3D.cc b/tests/mito.lib/geometry/barycenter_segment_3D.cc index 834f080e..e5b3eaf1 100644 --- a/tests/mito.lib/geometry/barycenter_segment_3D.cc +++ b/tests/mito.lib/geometry/barycenter_segment_3D.cc @@ -21,7 +21,7 @@ TEST(Barycenter, Segment3D) auto node_1 = mito::geometry::node(coord_system, { 1.0, 0.0, 0.0 }); // build a segment embedded in 3D - auto segment = mito::geometry::segment<3>({ node_0, node_1 }); + auto segment = mito::geometry::segment(node_0, node_1); // compute the barycenter position auto barycenter = mito::geometry::barycenter(segment, coord_system); diff --git a/tests/mito.lib/geometry/barycenter_tetrahedron_3D.cc b/tests/mito.lib/geometry/barycenter_tetrahedron_3D.cc index ae5d434b..779a2ec4 100644 --- a/tests/mito.lib/geometry/barycenter_tetrahedron_3D.cc +++ b/tests/mito.lib/geometry/barycenter_tetrahedron_3D.cc @@ -23,7 +23,7 @@ TEST(Barycenter, Tetrahedron3D) auto node_3 = mito::geometry::node(coord_system, { 0.0, 0.0, 1.0 }); // build a tetrahedron embedded in 3D - auto tetrahedron = mito::geometry::tetrahedron<3>({ node_0, node_1, node_2, node_3 }); + auto tetrahedron = mito::geometry::tetrahedron(node_0, node_1, node_2, node_3); // compute the barycenter position auto barycenter = mito::geometry::barycenter(tetrahedron, coord_system); diff --git a/tests/mito.lib/geometry/barycenter_triangle_2D.cc b/tests/mito.lib/geometry/barycenter_triangle_2D.cc index 3e7f27fe..5299c7e8 100644 --- a/tests/mito.lib/geometry/barycenter_triangle_2D.cc +++ b/tests/mito.lib/geometry/barycenter_triangle_2D.cc @@ -22,7 +22,7 @@ TEST(Barycenter, Triangle2D) auto node_2 = mito::geometry::node(coord_system, { 0.5, 0.5 }); // build a triangle embedded in 2D - auto triangle = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle(node_0, node_1, node_2); // compute the barycenter position auto barycenter = mito::geometry::barycenter(triangle, coord_system); diff --git a/tests/mito.lib/geometry/barycenter_triangle_3D.cc b/tests/mito.lib/geometry/barycenter_triangle_3D.cc index 66827db2..2302c769 100644 --- a/tests/mito.lib/geometry/barycenter_triangle_3D.cc +++ b/tests/mito.lib/geometry/barycenter_triangle_3D.cc @@ -22,7 +22,7 @@ TEST(Barycenter, Triangle3D) auto node_2 = mito::geometry::node(coord_system, { 0.5, 0.5, 0.0 }); // build a triangle embedded in 3D - auto triangle = mito::geometry::triangle<3>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle(node_0, node_1, node_2); // compute the barycenter position auto barycenter = mito::geometry::barycenter(triangle, coord_system); diff --git a/tests/mito.lib/geometry/cell_directors.cc b/tests/mito.lib/geometry/cell_directors.cc index 596e6842..1b478d35 100644 --- a/tests/mito.lib/geometry/cell_directors.cc +++ b/tests/mito.lib/geometry/cell_directors.cc @@ -21,7 +21,7 @@ TEST(Director, Segment) auto vertex_1 = mito::geometry::node(coord_system, { 1.0, 0.0, 0.0 }); // build a segment embedded in 3D - auto segment = mito::geometry::segment<3>({ vertex_0, vertex_1 }); + auto segment = mito::geometry::segment(vertex_0, vertex_1); // compute the cell directors // get the directors of the segment @@ -43,7 +43,7 @@ TEST(Director, Triangle) auto vertex_2 = mito::geometry::node(coord_system, { 0.0, 1.0, 0.0 }); // build a triangle embedded in 3D - auto triangle = mito::geometry::triangle<3>({ vertex_0, vertex_1, vertex_2 }); + auto triangle = mito::geometry::triangle(vertex_0, vertex_1, vertex_2); // compute the cell directors // get the directors of the triangle @@ -67,7 +67,7 @@ TEST(Director, Tetrahedron) auto vertex_3 = mito::geometry::node(coord_system, { 0.0, 0.0, 1.0 }); // build a tetrahedron embedded in 3D - auto tetrahedron = mito::geometry::tetrahedron<3>({ vertex_0, vertex_1, vertex_2, vertex_3 }); + auto tetrahedron = mito::geometry::tetrahedron(vertex_0, vertex_1, vertex_2, vertex_3); // compute the cell directors // get the directors of the tetrahedron diff --git a/tests/mito.lib/geometry/segment_2D.cc b/tests/mito.lib/geometry/segment_2D.cc index e5ced456..3ccad460 100644 --- a/tests/mito.lib/geometry/segment_2D.cc +++ b/tests/mito.lib/geometry/segment_2D.cc @@ -24,7 +24,7 @@ TEST(Geometry, Segment2D) auto node_1 = mito::geometry::node(coord_system, { 0.5, 0.5 }); // build segment from the nodes - auto segment = mito::geometry::segment<2>({ node_0, node_1 }); + auto segment = mito::geometry::segment(node_0, node_1); // the normal vector to the segment constexpr auto v = mito::tensor::vector_t<2>{ 0.5, -0.5 }; diff --git a/tests/mito.lib/geometry/tetrahedron_3D.cc b/tests/mito.lib/geometry/tetrahedron_3D.cc index 3994167b..b8786a6a 100644 --- a/tests/mito.lib/geometry/tetrahedron_3D.cc +++ b/tests/mito.lib/geometry/tetrahedron_3D.cc @@ -29,127 +29,127 @@ TEST(Geometry, Tetrahedron3D) auto node_4 = mito::geometry::node(coord_system, { 0.0, 0.0, 1.0 }); // build tetrahedron with a positive volume (reference tetrahedron) - auto tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_2, node_3, node_4 }); + auto tetrahedron = mito::geometry::tetrahedron(node_1, node_2, node_3, node_4); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_2, node_3, node_4 }); + tetrahedron = mito::geometry::tetrahedron(node_1, node_2, node_3, node_4); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_3, node_4, node_2 }); + tetrahedron = mito::geometry::tetrahedron(node_1, node_3, node_4, node_2); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_4, node_2, node_3 }); + tetrahedron = mito::geometry::tetrahedron(node_1, node_4, node_2, node_3); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_1, node_4, node_3 }); + tetrahedron = mito::geometry::tetrahedron(node_2, node_1, node_4, node_3); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_3, node_1, node_4 }); + tetrahedron = mito::geometry::tetrahedron( node_2, node_3, node_1, node_4 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_4, node_3, node_1 }); + tetrahedron = mito::geometry::tetrahedron( node_2, node_4, node_3, node_1 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_1, node_2, node_4 }); + tetrahedron = mito::geometry::tetrahedron( node_3, node_1, node_2, node_4 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_2, node_4, node_1 }); + tetrahedron = mito::geometry::tetrahedron( node_3, node_2, node_4, node_1 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_4, node_1, node_2 }); + tetrahedron = mito::geometry::tetrahedron( node_3, node_4, node_1, node_2 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_1, node_3, node_2 }); + tetrahedron = mito::geometry::tetrahedron( node_4, node_1, node_3, node_2 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_2, node_1, node_3 }); + tetrahedron = mito::geometry::tetrahedron( node_4, node_2, node_1, node_3 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an even permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_3, node_2, node_1 }); + tetrahedron = mito::geometry::tetrahedron( node_4, node_3, node_2, node_1 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), 1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_2, node_4, node_3 }); + tetrahedron = mito::geometry::tetrahedron( node_1, node_2, node_4, node_3 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_3, node_2, node_4 }); + tetrahedron = mito::geometry::tetrahedron( node_1, node_3, node_2, node_4 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_1, node_4, node_3, node_2 }); + tetrahedron = mito::geometry::tetrahedron( node_1, node_4, node_3, node_2 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_1, node_3, node_4 }); + tetrahedron = mito::geometry::tetrahedron( node_2, node_1, node_3, node_4 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_3, node_4, node_1 }); + tetrahedron = mito::geometry::tetrahedron( node_2, node_3, node_4, node_1 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_2, node_4, node_1, node_3 }); + tetrahedron = mito::geometry::tetrahedron( node_2, node_4, node_1, node_3 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_1, node_4, node_2 }); + tetrahedron = mito::geometry::tetrahedron( node_3, node_1, node_4, node_2 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_2, node_1, node_4 }); + tetrahedron = mito::geometry::tetrahedron( node_3, node_2, node_1, node_4 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_3, node_4, node_2, node_1 }); + tetrahedron = mito::geometry::tetrahedron( node_3, node_4, node_2, node_1 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_1, node_2, node_3 }); + tetrahedron = mito::geometry::tetrahedron( node_4, node_1, node_2, node_3 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_2, node_3, node_1 }); + tetrahedron = mito::geometry::tetrahedron( node_4, node_2, node_3, node_1 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); // create a tetrahedron from an odd permutation of the vertices with respect to the reference - tetrahedron = mito::geometry::tetrahedron<3>({ node_4, node_3, node_1, node_2 }); + tetrahedron = mito::geometry::tetrahedron( node_4, node_3, node_1, node_2 ); // check that the volume of tetrahedron is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(tetrahedron, coord_system, w), -1.0 / 6.0); } diff --git a/tests/mito.lib/geometry/triangle_2D.cc b/tests/mito.lib/geometry/triangle_2D.cc index c6268c58..78b52022 100644 --- a/tests/mito.lib/geometry/triangle_2D.cc +++ b/tests/mito.lib/geometry/triangle_2D.cc @@ -28,32 +28,32 @@ TEST(Geometry, Triangle2D) auto node_2 = mito::geometry::node(coord_system, { 0.0, 1.0 }); // build triangle with a positive volume (reference triangle) - auto triangle = mito::geometry::triangle<2>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle(node_0, node_1, node_2); // check that the volume of triangle is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), 0.5); // create a triangle from an even permutation of the vertices with respect to the reference - triangle = mito::geometry::triangle<2>({ node_1, node_2, node_0 }); + triangle = mito::geometry::triangle(node_1, node_2, node_0); // check that the volume of triangle is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), 0.5); // create a triangle from an even permutation of the vertices with respect to the reference - triangle = mito::geometry::triangle<2>({ node_2, node_0, node_1 }); + triangle = mito::geometry::triangle(node_2, node_0, node_1); // check that the volume of triangle is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), 0.5); // create a triangle from an odd permutation of the vertices with respect to the reference - triangle = mito::geometry::triangle<2>({ node_0, node_2, node_1 }); + triangle = mito::geometry::triangle(node_0, node_2, node_1); // check that the volume of triangle is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), -0.5); // create a triangle from an odd permutation of the vertices with respect to the reference - triangle = mito::geometry::triangle<2>({ node_1, node_0, node_2 }); + triangle = mito::geometry::triangle(node_1, node_0, node_2); // check that the volume of triangle is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), -0.5); // create a triangle from an odd permutation of the vertices with respect to the reference - triangle = mito::geometry::triangle<2>({ node_2, node_1, node_0 }); + triangle = mito::geometry::triangle(node_2, node_1, node_0); // check that the volume of triangle is correct EXPECT_DOUBLE_EQ(mito::geometry::volume(triangle, coord_system, w), -0.5); } diff --git a/tests/mito.lib/geometry/triangle_3D.cc b/tests/mito.lib/geometry/triangle_3D.cc index 6a70237c..ba59b234 100644 --- a/tests/mito.lib/geometry/triangle_3D.cc +++ b/tests/mito.lib/geometry/triangle_3D.cc @@ -30,7 +30,7 @@ TEST(Geometry, Triangle3D) auto node_2 = mito::geometry::node(coord_system, x_2); // build triangle with a positive volume (reference triangle) - auto triangle = mito::geometry::triangle<3>({ node_0, node_1, node_2 }); + auto triangle = mito::geometry::triangle(node_0, node_1, node_2); // the normal vector to the submanifold constexpr auto cross = mito::tensor::cross(x_1 - x_0, x_2 - x_0); diff --git a/tests/mito.lib/integration/quadrature_flip_segment_3D.cc b/tests/mito.lib/integration/quadrature_flip_segment_3D.cc index 1499fe5d..f813a934 100644 --- a/tests/mito.lib/integration/quadrature_flip_segment_3D.cc +++ b/tests/mito.lib/integration/quadrature_flip_segment_3D.cc @@ -28,7 +28,7 @@ TEST(Quadrature, FlipSegment) // create nodes auto node_0 = mito::geometry::node(coord_system, x_0); auto node_1 = mito::geometry::node(coord_system, x_1); - auto segment0 = mito::geometry::segment<3>({ node_0, node_1 }); + auto segment0 = mito::geometry::segment(node_0, node_1); // construct an orthogonal set {v_1}, {v_2}, {v_3} such that {v_1} is parallel to the segment constexpr auto v_1 = (x_1 - x_0) / mito::tensor::norm(x_1 - x_0); diff --git a/tests/mito.lib/quadrature/quadrature_segment_3D.cc b/tests/mito.lib/quadrature/quadrature_segment_3D.cc index 0ebc0ef7..fd944600 100644 --- a/tests/mito.lib/quadrature/quadrature_segment_3D.cc +++ b/tests/mito.lib/quadrature/quadrature_segment_3D.cc @@ -28,7 +28,7 @@ TEST(Quadrature, Segment3D) // create nodes auto node_0 = mito::geometry::node(coord_system, x_0); auto node_1 = mito::geometry::node(coord_system, x_1); - auto segment0 = mito::geometry::segment<3>({ node_0, node_1 }); + auto segment0 = mito::geometry::segment(node_0, node_1); // construct an orthogonal set {v_1}, {v_2}, {v_3} such that {v_1} is parallel to the segment constexpr auto v_1 = (x_1 - x_0) / mito::tensor::norm(x_1 - x_0); From 23831358a68abe02f422257acd4cf64b529aae46 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 15:42:24 +0200 Subject: [PATCH 35/52] manifolds: remove unused method --- lib/mito/manifolds/Manifold.h | 2 -- 1 file changed, 2 deletions(-) diff --git a/lib/mito/manifolds/Manifold.h b/lib/mito/manifolds/Manifold.h index c2c15413..179ec75e 100644 --- a/lib/mito/manifolds/Manifold.h +++ b/lib/mito/manifolds/Manifold.h @@ -76,8 +76,6 @@ namespace mito::manifolds { // return an iterable view of the manifold elements constexpr auto elements() const noexcept { return manifold_elements_view_type{ *this }; } - constexpr auto nElements() const noexcept -> int { return std::size(_mesh.cells()); } - constexpr auto print() const -> void { // make a channel From 7a155bb98ec52ce1b3543b205e52e70f31252eff Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 15:45:29 +0200 Subject: [PATCH 36/52] manifolds: in class {Manifold} rename {volume_form} to {metric_volume_form} --- lib/mito/manifolds/Manifold.h | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/lib/mito/manifolds/Manifold.h b/lib/mito/manifolds/Manifold.h index 179ec75e..1472072d 100644 --- a/lib/mito/manifolds/Manifold.h +++ b/lib/mito/manifolds/Manifold.h @@ -9,15 +9,15 @@ namespace mito::manifolds { - template + template requires(cellT::dim == coordsT::dim) class Manifold { private: // typedef for node using node_type = cellT::node_type; - // the volume form type - using volume_form_type = volumeFormT; + // the metric volume form type + using metric_volume_form_type = metricVolumeFormT; // the physical dimension of the manifold (that is that of the cell) static constexpr int D = cellT::dim; // the dimension of the manifold (that is that of the cell) @@ -25,7 +25,7 @@ namespace mito::manifolds { public: // my type - using manifold_type = Manifold; + using manifold_type = Manifold; // my element view type using manifold_elements_view_type = manifold_elements_view_t; // typedef for cell type @@ -44,10 +44,10 @@ namespace mito::manifolds { public: constexpr Manifold( const mesh_type & mesh, const coordinate_system_type & coordinate_system, - volume_form_type volume_form) : + metric_volume_form_type metric_volume_form) : _mesh(mesh), _atlas(coordinate_system), - _volume_form(volume_form) + _metric_volume_form(metric_volume_form) {} // destructor @@ -105,7 +105,7 @@ namespace mito::manifolds { // get the parametrization of this cell auto phi = _atlas.parametrization(cell); // get the metric volume form of this cell - auto w = _volume_form; + auto w = _metric_volume_form; // assemble and return the manifold element return parametrized_element(cell, phi, w); } @@ -115,8 +115,8 @@ namespace mito::manifolds { const mesh_type & _mesh; // the atlas atlas_type _atlas; - // the volume form - volume_form_type _volume_form; + // the metric volume form + metric_volume_form_type _metric_volume_form; // frienship with the manifold elements view friend manifold_elements_view_type; From 7e08ab965f086244bf700eb8df441c3a60cd577a Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 16:04:08 +0200 Subject: [PATCH 37/52] mito: consistency fix after rev. a9e3bfc --- lib/mito/fem/blocks/L2NormBlock.h | 2 +- lib/mito/fem/blocks/forward.h | 4 +-- lib/mito/geometry/GeometricSimplex.h | 2 +- lib/mito/manifolds/Atlas.h | 2 +- lib/mito/quadrature/QuadratureTable.h | 2 +- tests/mito.lib/fem/isoparametric_triangle.cc | 4 +-- .../fem/shape_functions_triangle_p1.cc | 2 +- .../fem/shape_functions_triangle_p2.cc | 28 +++++++++---------- 8 files changed, 23 insertions(+), 23 deletions(-) diff --git a/lib/mito/fem/blocks/L2NormBlock.h b/lib/mito/fem/blocks/L2NormBlock.h index bb4256ac..7541096b 100644 --- a/lib/mito/fem/blocks/L2NormBlock.h +++ b/lib/mito/fem/blocks/L2NormBlock.h @@ -10,7 +10,7 @@ namespace mito::fem::blocks { template - // require that {functionT} is a function in barycentric coordinates + // require that {functionT} is a function in parametric coordinates requires(std::is_same_v< typename functionT::input_type, typename quadratureRuleT::quadrature_point_type>) class L2NormBlock { diff --git a/lib/mito/fem/blocks/forward.h b/lib/mito/fem/blocks/forward.h index e0cae9d2..909b6f19 100644 --- a/lib/mito/fem/blocks/forward.h +++ b/lib/mito/fem/blocks/forward.h @@ -21,9 +21,9 @@ namespace mito::fem::blocks { template class SourceTermBlock; - // L2 norm block for a function defined at quadrature points in barycentric coordinates + // L2 norm block for a function defined at quadrature points in parametric coordinates template - // require that {functionT} is a function in barycentric coordinates + // require that {functionT} is a function in parametric coordinates requires(std::is_same_v< typename functionT::input_type, typename quadratureRuleT::quadrature_point_type>) class L2NormBlock; diff --git a/lib/mito/geometry/GeometricSimplex.h b/lib/mito/geometry/GeometricSimplex.h index f1d8baf6..f706ec24 100644 --- a/lib/mito/geometry/GeometricSimplex.h +++ b/lib/mito/geometry/GeometricSimplex.h @@ -57,7 +57,7 @@ namespace mito::geometry { // the reference simplex type using reference_simplex_type = reference_simplex_t; - // type of a point in barycentric coordinates + // type of a point in parametric coordinates using parametric_coordinates_type = reference_simplex_type::parametric_coordinates_type; private: diff --git a/lib/mito/manifolds/Atlas.h b/lib/mito/manifolds/Atlas.h index 3c008d0b..7d1b2ca5 100644 --- a/lib/mito/manifolds/Atlas.h +++ b/lib/mito/manifolds/Atlas.h @@ -61,7 +61,7 @@ namespace mito::manifolds { // get the origin of the coordinate system auto origin = coord_system.origin(); // assemble the parametrization as x0 * xi<0> + ... - // where {xi} are the barycentric coordinates on the reference simplex and the + // where {xi} are the parametric coordinates on the reference simplex and the // {xa} are the position vectors of the nodes return ( ((cell.template xi() diff --git a/lib/mito/quadrature/QuadratureTable.h b/lib/mito/quadrature/QuadratureTable.h index eefc63c7..3269fc79 100644 --- a/lib/mito/quadrature/QuadratureTable.h +++ b/lib/mito/quadrature/QuadratureTable.h @@ -14,7 +14,7 @@ namespace mito::quadrature { class Table { public: - // the type of quadrature points' barycentric coordinates + // the type of quadrature points' parametric coordinates using quadrature_point_type = typename elementT::parametric_coordinates_type; // the type of quadrature weights using quadrature_weight_type = double; diff --git a/tests/mito.lib/fem/isoparametric_triangle.cc b/tests/mito.lib/fem/isoparametric_triangle.cc index e98a91c6..13a70f12 100644 --- a/tests/mito.lib/fem/isoparametric_triangle.cc +++ b/tests/mito.lib/fem/isoparametric_triangle.cc @@ -38,7 +38,7 @@ test_partition_of_unity(const auto & element) // loop on the quadrature points mito::tensor::constexpr_for_1([&]() { - // the barycentric coordinates of the quadrature point + // the parametric coordinates of the quadrature point constexpr auto xi = quadrature_rule.point(q); // compute the sum of the shape functions at {xi} for all nodes @@ -68,7 +68,7 @@ test_gradient_consistency(const auto & element) // loop on the quadrature points mito::tensor::constexpr_for_1([&]() { - // the barycentric coordinates of the quadrature point + // the parametric coordinates of the quadrature point constexpr auto xi = quadrature_rule.point(q); // compute the sum of the shape functions at {xi} for all nodes diff --git a/tests/mito.lib/fem/shape_functions_triangle_p1.cc b/tests/mito.lib/fem/shape_functions_triangle_p1.cc index db8e9ad2..482b339b 100644 --- a/tests/mito.lib/fem/shape_functions_triangle_p1.cc +++ b/tests/mito.lib/fem/shape_functions_triangle_p1.cc @@ -9,7 +9,7 @@ // first order shape functions type using shape_t = mito::fem::ShapeTriangleP1; -// the barycentric coordinates type +// the parametric coordinates type using parametric_coordinates_type = shape_t::reference_element_type::parametric_coordinates_type; diff --git a/tests/mito.lib/fem/shape_functions_triangle_p2.cc b/tests/mito.lib/fem/shape_functions_triangle_p2.cc index 48a4673a..ce3886bb 100644 --- a/tests/mito.lib/fem/shape_functions_triangle_p2.cc +++ b/tests/mito.lib/fem/shape_functions_triangle_p2.cc @@ -9,8 +9,8 @@ // second order shape functions type using shape_t = mito::fem::ShapeTriangleP2; -// the barycentric coordinates type -using barycentric_coordinates_t = shape_t::reference_element_type::parametric_coordinates_type; +// the parametric coordinates type +using parametric_coordinates_t = shape_t::reference_element_type::parametric_coordinates_type; TEST(Fem, ShapeTriangleP2) @@ -18,18 +18,18 @@ TEST(Fem, ShapeTriangleP2) // second order shape functions constexpr auto element = shape_t(); - // node 0 in barycentric coordinates - constexpr auto n0 = barycentric_coordinates_t{ 0.0, 0.0 }; - // node 1 in barycentric coordinates - constexpr auto n1 = barycentric_coordinates_t{ 1.0, 0.0 }; - // node 2 in barycentric coordinates - constexpr auto n2 = barycentric_coordinates_t{ 0.0, 1.0 }; - // node 3 in barycentric coordinates - constexpr auto n3 = barycentric_coordinates_t{ 0.5, 0.0 }; - // node 4 in barycentric coordinates - constexpr auto n4 = barycentric_coordinates_t{ 0.5, 0.5 }; - // node 5 in barycentric coordinates - constexpr auto n5 = barycentric_coordinates_t{ 0.0, 0.5 }; + // node 0 in parametric coordinates + constexpr auto n0 = parametric_coordinates_t{ 0.0, 0.0 }; + // node 1 in parametric coordinates + constexpr auto n1 = parametric_coordinates_t{ 1.0, 0.0 }; + // node 2 in parametric coordinates + constexpr auto n2 = parametric_coordinates_t{ 0.0, 1.0 }; + // node 3 in parametric coordinates + constexpr auto n3 = parametric_coordinates_t{ 0.5, 0.0 }; + // node 4 in parametric coordinates + constexpr auto n4 = parametric_coordinates_t{ 0.5, 0.5 }; + // node 5 in parametric coordinates + constexpr auto n5 = parametric_coordinates_t{ 0.0, 0.5 }; // the shape functions at node 0 constexpr auto phi_0 = element.shape<0>(); From 35ac669fb13a94a5792108c87f80973ff954432a Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 16:07:09 +0200 Subject: [PATCH 38/52] fem/blocks: use uniform initializer in method {compute} --- lib/mito/fem/blocks/GradGradBlock.h | 2 +- lib/mito/fem/blocks/L2NormBlock.h | 2 +- lib/mito/fem/blocks/MassBlock.h | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/lib/mito/fem/blocks/GradGradBlock.h b/lib/mito/fem/blocks/GradGradBlock.h index 2243f45f..b95b5499 100644 --- a/lib/mito/fem/blocks/GradGradBlock.h +++ b/lib/mito/fem/blocks/GradGradBlock.h @@ -35,7 +35,7 @@ namespace mito::fem::blocks { constexpr int n_quads = quadrature_rule_type::npoints; // the elementary matrix - elementary_block_type elementary_matrix; + elementary_block_type elementary_matrix{}; // loop on the quadrature points tensor::constexpr_for_1([&]() { diff --git a/lib/mito/fem/blocks/L2NormBlock.h b/lib/mito/fem/blocks/L2NormBlock.h index 7541096b..5b053e44 100644 --- a/lib/mito/fem/blocks/L2NormBlock.h +++ b/lib/mito/fem/blocks/L2NormBlock.h @@ -42,7 +42,7 @@ namespace mito::fem::blocks { constexpr int n_quads = quadrature_rule_type::npoints; // the elementary contribution to the L2 norm - auto elementary_contribution = elementary_block_type{}; + elementary_block_type elementary_contribution = elementary_block_type{}; // loop on the quadrature points tensor::constexpr_for_1([&]() { diff --git a/lib/mito/fem/blocks/MassBlock.h b/lib/mito/fem/blocks/MassBlock.h index 76fbe758..d32a31a3 100644 --- a/lib/mito/fem/blocks/MassBlock.h +++ b/lib/mito/fem/blocks/MassBlock.h @@ -35,7 +35,7 @@ namespace mito::fem::blocks { constexpr int n_quads = quadrature_rule_type::npoints; // the elementary matrix - elementary_block_type elementary_matrix; + elementary_block_type elementary_matrix{}; // loop on the quadrature points tensor::constexpr_for_1([&]() { From 0ae5f25de313d18a317e6919a79e55286151e79e Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 16:08:07 +0200 Subject: [PATCH 39/52] fem/blocks: in {SourceTermBlock} replace {elementary_rhs} with {elementary_vector} --- lib/mito/fem/blocks/SourceTermBlock.h | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/lib/mito/fem/blocks/SourceTermBlock.h b/lib/mito/fem/blocks/SourceTermBlock.h index 252ec57c..f1a3bdcc 100644 --- a/lib/mito/fem/blocks/SourceTermBlock.h +++ b/lib/mito/fem/blocks/SourceTermBlock.h @@ -43,8 +43,8 @@ namespace mito::fem::blocks { // the number of quadrature points per element constexpr int n_quads = quadrature_rule_type::npoints; - // the elementary rhs - elementary_block_type elementary_rhs{}; + // the elementary vector + elementary_block_type elementary_vector{}; // loop on the quadrature points tensor::constexpr_for_1([&]() { @@ -65,13 +65,13 @@ namespace mito::fem::blocks { tensor::constexpr_for_1([&]() { // evaluate the a-th shape function at {xi} auto phi_a = element.template shape()(xi); - // populate the elementary contribution to the rhs - elementary_rhs[{ a }] += factor * _source_field(coord) * phi_a; + // populate the elementary contribution to the vector + elementary_vector[{ a }] += factor * _source_field(coord) * phi_a; }); }); // all done - return elementary_rhs; + return elementary_vector; } private: From e79e2008ce57a86fed91cd9719612853b8f18318 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 16:08:37 +0200 Subject: [PATCH 40/52] mito: consistency fix after rev. a9e3bfc --- lib/mito/fem/blocks/L2NormBlock.h | 2 +- lib/mito/fem/blocks/SourceTermBlock.h | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/lib/mito/fem/blocks/L2NormBlock.h b/lib/mito/fem/blocks/L2NormBlock.h index 5b053e44..89590fb5 100644 --- a/lib/mito/fem/blocks/L2NormBlock.h +++ b/lib/mito/fem/blocks/L2NormBlock.h @@ -46,7 +46,7 @@ namespace mito::fem::blocks { // loop on the quadrature points tensor::constexpr_for_1([&]() { - // the barycentric coordinates of the quadrature point + // the parametric coordinates of the quadrature point constexpr auto xi = quadrature_rule.point(q); // the quadrature weight at this point scaled with the area of the canonical simplex diff --git a/lib/mito/fem/blocks/SourceTermBlock.h b/lib/mito/fem/blocks/SourceTermBlock.h index f1a3bdcc..6d4c548e 100644 --- a/lib/mito/fem/blocks/SourceTermBlock.h +++ b/lib/mito/fem/blocks/SourceTermBlock.h @@ -48,7 +48,7 @@ namespace mito::fem::blocks { // loop on the quadrature points tensor::constexpr_for_1([&]() { - // the barycentric coordinates of the quadrature point + // the parametric coordinates of the quadrature point constexpr auto xi = quadrature_rule.point(q); // the coordinates of the quadrature point From f7ecdb45a21825b2a8051dd8c806c011e6ed2f12 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 16:10:24 +0200 Subject: [PATCH 41/52] fem/blocks: add concept {element_of_type_c} --- lib/mito/fem/blocks/forward.h | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/lib/mito/fem/blocks/forward.h b/lib/mito/fem/blocks/forward.h index 909b6f19..97d18c1a 100644 --- a/lib/mito/fem/blocks/forward.h +++ b/lib/mito/fem/blocks/forward.h @@ -27,6 +27,10 @@ namespace mito::fem::blocks { requires(std::is_same_v< typename functionT::input_type, typename quadratureRuleT::quadrature_point_type>) class L2NormBlock; + + // concept of {T} being a finite element of type {elementT} + template + concept element_of_type_c = std::same_as; } From 642c81633f341fd41ada359bf02aec3505116b86 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 16:29:26 +0200 Subject: [PATCH 42/52] fem/blocks: clarify roles of {finiteElementT} and {elementT} in method {compute} --- lib/mito/fem/blocks/GradGradBlock.h | 17 ++++++++++------- lib/mito/fem/blocks/L2NormBlock.h | 19 +++++++++++-------- lib/mito/fem/blocks/MassBlock.h | 17 ++++++++++------- lib/mito/fem/blocks/SourceTermBlock.h | 17 ++++++++++------- 4 files changed, 41 insertions(+), 29 deletions(-) diff --git a/lib/mito/fem/blocks/GradGradBlock.h b/lib/mito/fem/blocks/GradGradBlock.h index b95b5499..7bcbcd1e 100644 --- a/lib/mito/fem/blocks/GradGradBlock.h +++ b/lib/mito/fem/blocks/GradGradBlock.h @@ -9,12 +9,12 @@ namespace mito::fem::blocks { - template + template class GradGradBlock { public: // my template parameters - using element_type = elementT; + using element_type = finiteElementT; using elementary_block_type = tensor::matrix_t; using quadrature_rule_type = quadratureRuleT; @@ -24,9 +24,9 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - template - requires(std::is_same_v) - auto compute(const elementType & element) const -> elementary_block_type + template + requires element_of_type_c + auto compute(const elementT & element) const -> elementary_block_type { // the number of nodes per element constexpr int n_nodes = element_type::n_nodes; @@ -42,9 +42,12 @@ namespace mito::fem::blocks { // the parametric coordinates of the quadrature point constexpr auto xi = quadrature_rule.point(q); + // the measure of the canonical simplex + constexpr auto measure = + element_type::mesh_cell_type::reference_simplex_type::measure; + // the quadrature weight at this point scaled with the area of the canonical simplex - constexpr auto w = - elementType::canonical_element_type::measure * quadrature_rule.weight(q); + constexpr auto w = measure * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/blocks/L2NormBlock.h b/lib/mito/fem/blocks/L2NormBlock.h index 89590fb5..5bc9cec1 100644 --- a/lib/mito/fem/blocks/L2NormBlock.h +++ b/lib/mito/fem/blocks/L2NormBlock.h @@ -9,7 +9,7 @@ namespace mito::fem::blocks { - template + template // require that {functionT} is a function in parametric coordinates requires(std::is_same_v< typename functionT::input_type, typename quadratureRuleT::quadrature_point_type>) @@ -17,7 +17,7 @@ namespace mito::fem::blocks { public: // my template parameters - using element_type = elementT; + using element_type = finiteElementT; using elementary_block_type = tensor::scalar_t; using quadrature_rule_type = quadratureRuleT; @@ -34,24 +34,27 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - template - requires(std::is_same_v) - auto compute(const elementType & element) const -> elementary_block_type + template + requires element_of_type_c + auto compute(const elementT & element) const -> elementary_block_type { // the number of quadrature points per element constexpr int n_quads = quadrature_rule_type::npoints; // the elementary contribution to the L2 norm - elementary_block_type elementary_contribution = elementary_block_type{}; + elementary_block_type elementary_contribution{}; // loop on the quadrature points tensor::constexpr_for_1([&]() { // the parametric coordinates of the quadrature point constexpr auto xi = quadrature_rule.point(q); + // the measure of the canonical simplex + constexpr auto measure = + element_type::mesh_cell_type::reference_simplex_type::measure; + // the quadrature weight at this point scaled with the area of the canonical simplex - constexpr auto w = - elementType::canonical_element_type::measure * quadrature_rule.weight(q); + constexpr auto w = measure * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/blocks/MassBlock.h b/lib/mito/fem/blocks/MassBlock.h index d32a31a3..b57199b0 100644 --- a/lib/mito/fem/blocks/MassBlock.h +++ b/lib/mito/fem/blocks/MassBlock.h @@ -9,12 +9,12 @@ namespace mito::fem::blocks { - template + template class MassBlock { public: // my template parameters - using element_type = elementT; + using element_type = finiteElementT; using elementary_block_type = tensor::matrix_t; using quadrature_rule_type = quadratureRuleT; @@ -24,9 +24,9 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - template - requires(std::is_same_v) - auto compute(const elementType & element) const -> elementary_block_type + template + requires(element_of_type_c) + auto compute(const elementT & element) const -> elementary_block_type { // the number of nodes per element constexpr int n_nodes = element_type::n_nodes; @@ -42,9 +42,12 @@ namespace mito::fem::blocks { // the parametric coordinates of the quadrature point constexpr auto xi = quadrature_rule.point(q); + // the measure of the canonical simplex + constexpr auto measure = + element_type::mesh_cell_type::reference_simplex_type::measure; + // the quadrature weight at this point scaled with the area of the canonical simplex - constexpr auto w = - elementType::canonical_element_type::measure * quadrature_rule.weight(q); + constexpr auto w = measure * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); diff --git a/lib/mito/fem/blocks/SourceTermBlock.h b/lib/mito/fem/blocks/SourceTermBlock.h index 6d4c548e..9c9c565e 100644 --- a/lib/mito/fem/blocks/SourceTermBlock.h +++ b/lib/mito/fem/blocks/SourceTermBlock.h @@ -11,12 +11,12 @@ namespace mito::fem::blocks { // TOFIX: the source does not need to be necessarily a scalar field, it can be some other field // see if we can use {field_c} instead of {scalar_field_c} - template + template class SourceTermBlock { public: // my template parameters - using element_type = elementT; + using element_type = finiteElementT; using elementary_block_type = tensor::vector_t; using quadrature_rule_type = quadratureRuleT; @@ -33,9 +33,9 @@ namespace mito::fem::blocks { public: // compute the elementary contribution of this block - template - requires(std::is_same_v) - auto compute(const elementType & element) const -> elementary_block_type + template + requires(element_of_type_c) + auto compute(const elementT & element) const -> elementary_block_type { // the number of nodes per element constexpr int n_nodes = element_type::n_nodes; @@ -54,9 +54,12 @@ namespace mito::fem::blocks { // the coordinates of the quadrature point auto coord = element.parametrization()(xi); + // the measure of the canonical simplex + constexpr auto measure = + element_type::mesh_cell_type::reference_simplex_type::measure; + // the quadrature weight at this point scaled with the area of the canonical simplex - constexpr auto w = - elementType::canonical_element_type::measure * quadrature_rule.weight(q); + constexpr auto w = measure * quadrature_rule.weight(q); // precompute the common factor auto factor = w * tensor::determinant(element.jacobian()(xi)); From b33dafe91b9a240c1a9eadb7a4965bafc21a5f39 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 16:30:14 +0200 Subject: [PATCH 43/52] fem/blocks: readability improvements --- lib/mito/fem/blocks/L2NormBlock.h | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/lib/mito/fem/blocks/L2NormBlock.h b/lib/mito/fem/blocks/L2NormBlock.h index 5bc9cec1..4e0be6dc 100644 --- a/lib/mito/fem/blocks/L2NormBlock.h +++ b/lib/mito/fem/blocks/L2NormBlock.h @@ -42,7 +42,7 @@ namespace mito::fem::blocks { constexpr int n_quads = quadrature_rule_type::npoints; // the elementary contribution to the L2 norm - elementary_block_type elementary_contribution{}; + elementary_block_type norm{}; // loop on the quadrature points tensor::constexpr_for_1([&]() { @@ -60,11 +60,11 @@ namespace mito::fem::blocks { auto factor = w * tensor::determinant(element.jacobian()(xi)); // populate the elementary contribution to the matrix - elementary_contribution += factor * _function(xi) * _function(xi); + norm += factor * _function(xi) * _function(xi); }); // all done - return elementary_contribution; + return norm; } private: From 9be085f3f08b40031170992e34db9782b2711c45 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 16:35:06 +0200 Subject: [PATCH 44/52] fem: require that isoparametric element are built on top of a parametrized element --- lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h | 2 +- lib/mito/fem/elements/seg1/forward.h | 2 +- lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h | 2 +- lib/mito/fem/elements/tri1/forward.h | 2 +- lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h | 2 +- lib/mito/fem/elements/tri2/forward.h | 2 +- lib/mito/manifolds/forward.h | 9 +++++++++ 7 files changed, 15 insertions(+), 6 deletions(-) diff --git a/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h b/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h index 6bae15a0..09760dcf 100644 --- a/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h +++ b/lib/mito/fem/elements/seg1/IsoparametricSegmentP1.h @@ -14,7 +14,7 @@ namespace mito::fem { - template + template class IsoparametricSegmentP1 : public utilities::Invalidatable { public: diff --git a/lib/mito/fem/elements/seg1/forward.h b/lib/mito/fem/elements/seg1/forward.h index 8d151773..37e87e6a 100644 --- a/lib/mito/fem/elements/seg1/forward.h +++ b/lib/mito/fem/elements/seg1/forward.h @@ -10,7 +10,7 @@ namespace mito::fem { // forward declaration of the class {IsoparametricSegmentP1} - template + template class IsoparametricSegmentP1; } diff --git a/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h b/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h index 86797d6e..c6c56e35 100644 --- a/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h +++ b/lib/mito/fem/elements/tri1/IsoparametricTriangleP1.h @@ -14,7 +14,7 @@ namespace mito::fem { - template + template class IsoparametricTriangleP1 : public utilities::Invalidatable { public: diff --git a/lib/mito/fem/elements/tri1/forward.h b/lib/mito/fem/elements/tri1/forward.h index becdaae0..05e9bf6a 100644 --- a/lib/mito/fem/elements/tri1/forward.h +++ b/lib/mito/fem/elements/tri1/forward.h @@ -10,7 +10,7 @@ namespace mito::fem { // forward declaration of the class {IsoparametricTriangleP1} - template + template class IsoparametricTriangleP1; } diff --git a/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h b/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h index 2ef55175..5f6e41aa 100644 --- a/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h +++ b/lib/mito/fem/elements/tri2/IsoparametricTriangleP2.h @@ -14,7 +14,7 @@ namespace mito::fem { - template + template class IsoparametricTriangleP2 : public utilities::Invalidatable { public: diff --git a/lib/mito/fem/elements/tri2/forward.h b/lib/mito/fem/elements/tri2/forward.h index f79d2bb2..e515b042 100644 --- a/lib/mito/fem/elements/tri2/forward.h +++ b/lib/mito/fem/elements/tri2/forward.h @@ -10,7 +10,7 @@ namespace mito::fem { // forward declaration of the class {IsoparametricTriangleP2} - template + template class IsoparametricTriangleP2; } diff --git a/lib/mito/manifolds/forward.h b/lib/mito/manifolds/forward.h index 382d5d5f..cb6154e8 100644 --- a/lib/mito/manifolds/forward.h +++ b/lib/mito/manifolds/forward.h @@ -35,6 +35,15 @@ namespace mito::manifolds { const Manifold &) { }(c); }; + + // concept of a parametrized element + template + concept parametrized_element_c = requires(F c) { + // require that F only binds to {ParametrizedElement} specializations with 1D cells + []( + const ParametrizedElement &) { + }(c); + }; } From 361bd60900c20ad3effbdd267d35348af5975346 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 19:43:39 +0200 Subject: [PATCH 45/52] fem: in function {finite_element} require that {finiteElementTraits} and {parametrizedElementT} are compatibile --- lib/mito/fem/elements/api.h | 1 + lib/mito/fem/elements/forward.h | 5 +++++ 2 files changed, 6 insertions(+) diff --git a/lib/mito/fem/elements/api.h b/lib/mito/fem/elements/api.h index 1890c6b4..30d9ff29 100644 --- a/lib/mito/fem/elements/api.h +++ b/lib/mito/fem/elements/api.h @@ -11,6 +11,7 @@ namespace mito::fem { // factory of finite element from a parametrized element template + requires compatible_element_type_c constexpr auto finite_element( const parametrizedElementT & element, const typename finiteElementTraits::connectivity_type & connectivity) diff --git a/lib/mito/fem/elements/forward.h b/lib/mito/fem/elements/forward.h index 36e247d2..9ecbc31a 100644 --- a/lib/mito/fem/elements/forward.h +++ b/lib/mito/fem/elements/forward.h @@ -18,6 +18,11 @@ namespace mito::fem { template struct isoparametric_simplex; + // concept of {parametrizedElementT} being compatible with finite elements of type + // {finiteElementT} + template + concept compatible_element_type_c = std::same_as< + typename finiteElementT::mesh_cell_type, typename parametrizedElementT::cell_type>; } From 9bb31eac910374c231423640f693c6c4cdf5651c Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 19:44:01 +0200 Subject: [PATCH 46/52] fem: add compatibility check in {function_space} --- lib/mito/fem/api.h | 3 +++ 1 file changed, 3 insertions(+) diff --git a/lib/mito/fem/api.h b/lib/mito/fem/api.h index 85d2e19c..6e351d1a 100644 --- a/lib/mito/fem/api.h +++ b/lib/mito/fem/api.h @@ -23,6 +23,9 @@ namespace mito::fem { // function space factory template < class elementT, manifolds::manifold_c manifoldT, constraints::constraint_c constraintsT> + // require compatibility between the manifold cell and the finite element cell + requires( + std::is_same_v) constexpr auto function_space(const manifoldT & manifold, const constraintsT & constraints); // function space elements view alias From 60359060dc846aad557d9573b7b2f3842a47335e Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 20:11:58 +0200 Subject: [PATCH 47/52] manifolds: remove {manifold} factory function with implicit assumption of Euclidean metric space --- .../mito.lib/integration/integration.cc | 4 +++- benchmarks/mito.lib/pdes/poisson.cc | 4 +++- extensions/mito/mito.cc | 9 ++++---- lib/mito/manifolds/api.h | 6 ----- lib/mito/manifolds/factories.h | 22 +------------------ tests/mito.lib/fem/fem_field.cc | 4 +++- .../integration/divergence_theorem.cc | 4 +++- .../integration/quadrature_load_mesh_2D.cc | 4 +++- .../quadrature_load_mesh_2D_mpi.cc | 4 +++- .../quadrature/quadrature_segment_1D.cc | 4 +++- .../quadrature/quadrature_triangle_2D.cc | 4 +++- tutorial/4_divergence_theorem_2D/main.cc | 4 +++- 12 files changed, 33 insertions(+), 40 deletions(-) diff --git a/benchmarks/mito.lib/integration/integration.cc b/benchmarks/mito.lib/integration/integration.cc index 87678179..c7b81d97 100644 --- a/benchmarks/mito.lib/integration/integration.cc +++ b/benchmarks/mito.lib/integration/integration.cc @@ -8,6 +8,8 @@ // cartesian coordinates in 2D using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; +// the metric space type +using metric_space_t = mito::geometry::euclidean_metric_space; // the function extracting the {x_0} components of a 2D vector constexpr auto x_0 = mito::geometry::cartesian::x_0<2>; @@ -67,7 +69,7 @@ main() auto tetra_mesh = mito::mesh::tetra(mesh, coord_system, subdivisions); // create manifold from the mesh - auto manifold = mito::manifolds::manifold(tetra_mesh, coord_system); + auto manifold = mito::manifolds::manifold(tetra_mesh, coord_system, metric_space_t::w); // instantiate a scalar field auto f = mito::functions::cos(x_0 * x_1); diff --git a/benchmarks/mito.lib/pdes/poisson.cc b/benchmarks/mito.lib/pdes/poisson.cc index 85040fdf..4cca32bd 100644 --- a/benchmarks/mito.lib/pdes/poisson.cc +++ b/benchmarks/mito.lib/pdes/poisson.cc @@ -8,6 +8,8 @@ // cartesian coordinates in 2D using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; +// the metric space type +using metric_space_t = mito::geometry::euclidean_metric_space; // simplicial cells in 2D using cell_t = mito::geometry::triangle_t<2>; @@ -57,7 +59,7 @@ main() // auto mesh = mito::mesh::tetra(original_mesh, coord_system, subdivisions); // create the body manifold - auto manifold = mito::manifolds::manifold(mesh, coord_system); + auto manifold = mito::manifolds::manifold(mesh, coord_system, metric_space_t::w); // get the boundary mesh auto boundary_mesh = mito::mesh::boundary(mesh); diff --git a/extensions/mito/mito.cc b/extensions/mito/mito.cc index 7c15abbe..3ca9644c 100644 --- a/extensions/mito/mito.cc +++ b/extensions/mito/mito.cc @@ -135,10 +135,11 @@ PYBIND11_MODULE(mito, m) // done ; - + // alias for a the euclidean metric space in 2D + using euclidean_metric_2D_t = mito::geometry::euclidean_metric_space; // alias for a manifold of triangles embedded in 2D - using manifold_triangle_2D_t = decltype(mito::manifolds::manifold( - std::declval(), std::declval())); + using manifold_triangle_2D_t = mito::manifolds::manifold_t< + cell_2D_t, coordinates_2D_t, std::remove_cvref_t>; // the mito manifold interface mito::py::class_(m, "ManifoldTriangle2D") // the constructor @@ -147,7 +148,7 @@ PYBIND11_MODULE(mito, m) mito::py::init( [](const mesh_triangle_2D_t & mesh, const coordinate_system_2D_t & coord_system) { // create the manifold - return mito::manifolds::manifold(mesh, coord_system); + return mito::manifolds::manifold(mesh, coord_system, euclidean_metric_2D_t::w); })) // done ; diff --git a/lib/mito/manifolds/api.h b/lib/mito/manifolds/api.h index 012ec7a9..5740a0a6 100644 --- a/lib/mito/manifolds/api.h +++ b/lib/mito/manifolds/api.h @@ -35,12 +35,6 @@ namespace mito::manifolds { template using manifold_t = Manifold; - // factory of manifolds from a mesh and a coordinate system - template - constexpr auto manifold( - const mesh::mesh_t & mesh, - const geometry::coordinate_system_t & coordinate_system); - // factory submanifold from a mesh, a coordinate system and set of normal fields template constexpr auto submanifold( diff --git a/lib/mito/manifolds/factories.h b/lib/mito/manifolds/factories.h index 4db45e42..9c7ce140 100644 --- a/lib/mito/manifolds/factories.h +++ b/lib/mito/manifolds/factories.h @@ -38,27 +38,7 @@ namespace mito::manifolds { return manifold_t(mesh, coordinate_system, volume_form); } - // factory of manifolds from a mesh and a coordinate system - template - constexpr auto manifold( - const mesh::mesh_t & mesh, - const geometry::coordinate_system_t & coordinate_system) - { - // the mesh type - using mesh_type = mesh::mesh_t; - - // assert that the manifold is of the highest dimension - static_assert(mesh_type::dim == mesh_type::order); - - // the metric space type - using metric_space_type = geometry::euclidean_metric_space; - - // get the metric volume form - constexpr auto volume_form = metric_space_type::w; - - // return a new manifold - return manifold(mesh, coordinate_system, volume_form); - } + // TOFIX: this function only works for Euclidean metric spaces // factory of submanifolds from a mesh, a coordinate system and set of normal fields template diff --git a/tests/mito.lib/fem/fem_field.cc b/tests/mito.lib/fem/fem_field.cc index 2335269f..f2e3c572 100644 --- a/tests/mito.lib/fem/fem_field.cc +++ b/tests/mito.lib/fem/fem_field.cc @@ -9,6 +9,8 @@ // cartesian coordinates in 2D using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; +// the euclidean metric space type +using metric_space_t = mito::geometry::euclidean_metric_space; // simplicial cells in 2D using cell_t = mito::geometry::triangle_t<2>; @@ -32,7 +34,7 @@ TEST(Fem, FemField) auto mesh = mito::io::summit::reader(fileStream, coord_system); // create the body manifold - auto manifold = mito::manifolds::manifold(mesh, coord_system); + auto manifold = mito::manifolds::manifold(mesh, coord_system, metric_space_t::w); // TOFIX: it should not be mandatory to set constraints to create a function space, let's remove // this bit once we implement constraints properly diff --git a/tests/mito.lib/integration/divergence_theorem.cc b/tests/mito.lib/integration/divergence_theorem.cc index 1a1f60bd..09440bca 100644 --- a/tests/mito.lib/integration/divergence_theorem.cc +++ b/tests/mito.lib/integration/divergence_theorem.cc @@ -13,6 +13,8 @@ using mito::quadrature::GAUSS; using mito::tensor::_; // the type of coordinates using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; +// the euclidean metric space type +using metric_space_t = mito::geometry::euclidean_metric_space; // the function extracting the {x_0} component of a 2D vector constexpr auto x0 = mito::geometry::cartesian::x_0<2>; @@ -71,7 +73,7 @@ TEST(DivergenceTheorem, Mesh2D) mesh.insert({ node_4, node_0, node_3 }); // create the body manifold - auto bodyManifold = mito::manifolds::manifold(mesh, coord_system); + auto bodyManifold = mito::manifolds::manifold(mesh, coord_system, metric_space_t::w); // create the body integrator auto bodyIntegrator = mito::quadrature::integrator(bodyManifold); diff --git a/tests/mito.lib/integration/quadrature_load_mesh_2D.cc b/tests/mito.lib/integration/quadrature_load_mesh_2D.cc index 5c0ea629..f8a171ee 100644 --- a/tests/mito.lib/integration/quadrature_load_mesh_2D.cc +++ b/tests/mito.lib/integration/quadrature_load_mesh_2D.cc @@ -9,6 +9,8 @@ // cartesian coordinates in 2D using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; +// the euclidean metric space type +using metric_space_t = mito::geometry::euclidean_metric_space; // the function extracting the {x_0} components of a 2D vector constexpr auto x_0 = mito::geometry::cartesian::x_0<2>; @@ -27,7 +29,7 @@ TEST(Quadrature, LoadMeshTriangles) // load mesh std::ifstream fileStream("square.summit"); auto mesh = mito::io::summit::reader>(fileStream, coord_system); - auto manifold = mito::manifolds::manifold(mesh, coord_system); + auto manifold = mito::manifolds::manifold(mesh, coord_system, metric_space_t::w); // instantiate a scalar field auto f = mito::functions::cos(x_0 * x_1); diff --git a/tests/mito.lib/integration/quadrature_load_mesh_2D_mpi.cc b/tests/mito.lib/integration/quadrature_load_mesh_2D_mpi.cc index 5a80aec8..1eafa14e 100644 --- a/tests/mito.lib/integration/quadrature_load_mesh_2D_mpi.cc +++ b/tests/mito.lib/integration/quadrature_load_mesh_2D_mpi.cc @@ -14,6 +14,8 @@ // cartesian coordinates in 2D using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; +// the euclidean metric space type +using metric_space_t = mito::geometry::euclidean_metric_space; // the function extracting the {x_0} components of a 2D vector constexpr auto x_0 = mito::geometry::cartesian::x_0<2>; @@ -46,7 +48,7 @@ TEST(Quadrature, LoadMeshTrianglesMPI) auto mesh_partition = mito::mesh::metis::partition(mesh, n_tasks, task_id); // build the manifold on the partitioned mesh - auto manifold = mito::manifolds::manifold(mesh_partition, coord_system); + auto manifold = mito::manifolds::manifold(mesh_partition, coord_system, metric_space_t::w); // instantiate a scalar field auto f = mito::functions::cos(x_0 * x_1); diff --git a/tests/mito.lib/quadrature/quadrature_segment_1D.cc b/tests/mito.lib/quadrature/quadrature_segment_1D.cc index 74ad8dbc..5e28489b 100644 --- a/tests/mito.lib/quadrature/quadrature_segment_1D.cc +++ b/tests/mito.lib/quadrature/quadrature_segment_1D.cc @@ -9,6 +9,8 @@ // cartesian coordinates in 1D using coordinates_t = mito::geometry::coordinates_t<1, mito::geometry::CARTESIAN>; +// the euclidean metric space type +using metric_space_t = mito::geometry::euclidean_metric_space; // strip namespace using mito::tensor::vector_t; @@ -34,7 +36,7 @@ TEST(Quadrature, Segment) auto tetra_mesh = mito::mesh::tetra(mesh, coord_system, 12); // an integrator with degree of exactness 2 on segment (0, 1) - auto manifold = mito::manifolds::manifold(tetra_mesh, coord_system); + auto manifold = mito::manifolds::manifold(tetra_mesh, coord_system, metric_space_t::w); auto integrator = mito::quadrature::integrator(manifold); // a scalar function diff --git a/tests/mito.lib/quadrature/quadrature_triangle_2D.cc b/tests/mito.lib/quadrature/quadrature_triangle_2D.cc index ed06c870..092ce533 100644 --- a/tests/mito.lib/quadrature/quadrature_triangle_2D.cc +++ b/tests/mito.lib/quadrature/quadrature_triangle_2D.cc @@ -13,6 +13,8 @@ using mito::quadrature::GAUSS; // alias for a set of cartesian coordinates in 2D using coordinates_t = mito::geometry::coordinates_t<2, mito::geometry::CARTESIAN>; +// the euclidean metric space type +using metric_space_t = mito::geometry::euclidean_metric_space; // the function extracting the {x_0} components of a 2D vector constexpr auto x_0 = mito::geometry::cartesian::x_0<2>; @@ -63,7 +65,7 @@ TEST(Quadrature, Square) mesh.insert({ node_4, node_0, node_3 }); // This instantiates a quad rule on the cells (pairing cell type and degree of exactness) - auto bodyManifold = mito::manifolds::manifold(mesh, coord_system); + auto bodyManifold = mito::manifolds::manifold(mesh, coord_system, metric_space_t::w); auto bodyIntegrator = mito::quadrature::integrator(bodyManifold); diff --git a/tutorial/4_divergence_theorem_2D/main.cc b/tutorial/4_divergence_theorem_2D/main.cc index 876615d2..d0d8c70e 100644 --- a/tutorial/4_divergence_theorem_2D/main.cc +++ b/tutorial/4_divergence_theorem_2D/main.cc @@ -13,6 +13,8 @@ using mito::quadrature::GAUSS; // the type of coordinates using coordinates_t = geometry::cartesian::coordinates_t<2>; +// the euclidean metric space type +using metric_space_t = geometry::euclidean_metric_space; // the function extracting the {x_0} component of a 2D vector constexpr auto x_0 = geometry::cartesian::x_0<2>; @@ -77,7 +79,7 @@ main() mesh.insert({ node_4, node_0, node_3 }); // create the body manifold - auto bodyManifold = manifolds::manifold(mesh, coord_system); + auto bodyManifold = manifolds::manifold(mesh, coord_system, metric_space_t::w); // create the body integrator auto bodyIntegrator = quadrature::integrator(bodyManifold); From b96318cd6dba73125a51ec0e7857af810fd62e05 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 20:16:21 +0200 Subject: [PATCH 48/52] tutorial: adjust tutorials to use {operator} namespace (rev. cd653dd) --- tutorial/3_fields/main.cc | 1 + tutorial/4_divergence_theorem_2D/main.cc | 1 + tutorial/5_divergence_theorem_2D_in_3D/main.cc | 1 + 3 files changed, 3 insertions(+) diff --git a/tutorial/3_fields/main.cc b/tutorial/3_fields/main.cc index 4141a651..4cbc787c 100644 --- a/tutorial/3_fields/main.cc +++ b/tutorial/3_fields/main.cc @@ -10,6 +10,7 @@ // strip namespace using namespace mito; using namespace mito::fields; +using namespace mito::operators; using namespace mito::tensor; // the type of coordinates diff --git a/tutorial/4_divergence_theorem_2D/main.cc b/tutorial/4_divergence_theorem_2D/main.cc index d0d8c70e..d7fed817 100644 --- a/tutorial/4_divergence_theorem_2D/main.cc +++ b/tutorial/4_divergence_theorem_2D/main.cc @@ -9,6 +9,7 @@ // strip namespace using namespace mito; using namespace mito::fields; +using namespace mito::operators; using mito::quadrature::GAUSS; // the type of coordinates diff --git a/tutorial/5_divergence_theorem_2D_in_3D/main.cc b/tutorial/5_divergence_theorem_2D_in_3D/main.cc index e2a6e452..86a05d03 100644 --- a/tutorial/5_divergence_theorem_2D_in_3D/main.cc +++ b/tutorial/5_divergence_theorem_2D_in_3D/main.cc @@ -9,6 +9,7 @@ // strip namespace using namespace mito; using namespace mito::fields; +using namespace mito::operators; using mito::quadrature::GAUSS; // the type of coordinates From c096d02eed90c513384f606c171dee637e020ff1 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Mon, 22 Jun 2026 20:20:09 +0200 Subject: [PATCH 49/52] manifolds: remove addressed {TOFIX} (rev. 6035906) --- lib/mito/manifolds/factories.h | 2 -- 1 file changed, 2 deletions(-) diff --git a/lib/mito/manifolds/factories.h b/lib/mito/manifolds/factories.h index 9c7ce140..7836f4df 100644 --- a/lib/mito/manifolds/factories.h +++ b/lib/mito/manifolds/factories.h @@ -38,8 +38,6 @@ namespace mito::manifolds { return manifold_t(mesh, coordinate_system, volume_form); } - // TOFIX: this function only works for Euclidean metric spaces - // factory of submanifolds from a mesh, a coordinate system and set of normal fields template constexpr auto submanifold( From a3e17b6f6b30121ff9dddd436a0d8def47583a76 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi Date: Thu, 25 Jun 2026 20:46:07 +0200 Subject: [PATCH 50/52] manifolds: remove unused {print} method --- lib/mito/manifolds/Manifold.h | 22 ---------------------- 1 file changed, 22 deletions(-) diff --git a/lib/mito/manifolds/Manifold.h b/lib/mito/manifolds/Manifold.h index 1472072d..18699b36 100644 --- a/lib/mito/manifolds/Manifold.h +++ b/lib/mito/manifolds/Manifold.h @@ -76,28 +76,6 @@ namespace mito::manifolds { // return an iterable view of the manifold elements constexpr auto elements() const noexcept { return manifold_elements_view_type{ *this }; } - constexpr auto print() const -> void - { - // make a channel - journal::info_t channel("mito.manifold"); - - // print the element set of the manifold - channel << "Element set: " << journal::endl; - - for (const auto & e : _mesh.cells()) { - // print the elemental composition - channel << "Composition: " << journal::endl; - channel << e; - // and the coordinates of the vertices - channel << "Vertices: " << journal::endl; - auto nodes = e.nodes(); - for (const auto & v : nodes) { - channel << coordinates(v) << journal::endl; - } - channel << journal::endl; - } - } - public: // return the manifold element associated to a cell constexpr auto element(const cell_type & cell) const From d794a33511cbc82a3dc576527ca03339b0b3cd78 Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi <62774069+biancagi@users.noreply.github.com> Date: Thu, 25 Jun 2026 20:48:15 +0200 Subject: [PATCH 51/52] manifolds: in class {ParametrizedElement} return cell, parametrization and metric volume form by reference Co-authored-by: Copilot Autofix powered by AI <175728472+Copilot@users.noreply.github.com> --- lib/mito/manifolds/ParametrizedElement.h | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/lib/mito/manifolds/ParametrizedElement.h b/lib/mito/manifolds/ParametrizedElement.h index cbebb343..b8b17f53 100644 --- a/lib/mito/manifolds/ParametrizedElement.h +++ b/lib/mito/manifolds/ParametrizedElement.h @@ -51,13 +51,13 @@ namespace mito::manifolds { public: // return the underlying cell - constexpr auto cell() const -> cell_type { return _cell; } + constexpr auto cell() const -> const cell_type & { return _cell; } // return the parametrization of this element in physical space - constexpr auto parametrization() const -> parametrization_type { return _parametrization; } + constexpr auto parametrization() const -> const parametrization_type & { return _parametrization; } // return the metric volume form of this element - constexpr auto metric_volume_form() const -> metric_volume_form_type + constexpr auto metric_volume_form() const -> const metric_volume_form_type & { return _metric_volume_form; } From ef4380b292313082540beeeb3c2be11f7435a55f Mon Sep 17 00:00:00 2001 From: Bianca Giovanardi <62774069+biancagi@users.noreply.github.com> Date: Thu, 25 Jun 2026 20:48:45 +0200 Subject: [PATCH 52/52] fem: remove redundant forward declaration Co-authored-by: Copilot Autofix powered by AI <175728472+Copilot@users.noreply.github.com> --- lib/mito/fem/forward.h | 4 ---- 1 file changed, 4 deletions(-) diff --git a/lib/mito/fem/forward.h b/lib/mito/fem/forward.h index 67a167f0..706f9826 100644 --- a/lib/mito/fem/forward.h +++ b/lib/mito/fem/forward.h @@ -26,10 +26,6 @@ namespace mito::fem { template class FunctionSpaceElementsView; - // class function space elements view - template - class FunctionSpaceElementsView; - template concept compatible_assembly_blocks_c = std::is_same_v;