From ee26a1fd0b01c6d1b49a4e83b0bb6be92439c470 Mon Sep 17 00:00:00 2001 From: "[6~" Date: Tue, 12 May 2020 22:50:18 -0500 Subject: [PATCH 1/3] Add diff_matrix_permutation --- modepy/__init__.py | 2 ++ modepy/matrices.py | 26 ++++++++++++++++++++++++++ test/test_tools.py | 21 +++++++++++++++++++++ 3 files changed, 49 insertions(+) diff --git a/modepy/__init__.py b/modepy/__init__.py index 5931c6f..ad432d3 100644 --- a/modepy/__init__.py +++ b/modepy/__init__.py @@ -31,6 +31,7 @@ from modepy.modes import ( from modepy.nodes import equidistant_nodes, warp_and_blend_nodes from modepy.matrices import (vandermonde, resampling_matrix, differentiation_matrices, + diff_matrix_permutation, inverse_mass_matrix, mass_matrix, modal_face_mass_matrix, nodal_face_mass_matrix) from modepy.quadrature import Quadrature, QuadratureRuleUnavailable @@ -59,6 +60,7 @@ __all__ = [ "equidistant_nodes", "warp_and_blend_nodes", "vandermonde", "resampling_matrix", "differentiation_matrices", + "diff_matrix_permutation", "inverse_mass_matrix", "mass_matrix", "modal_face_mass_matrix", "nodal_face_mass_matrix", diff --git a/modepy/matrices.py b/modepy/matrices.py index 14a7713..1d4cd0a 100644 --- a/modepy/matrices.py +++ b/modepy/matrices.py @@ -62,6 +62,8 @@ obtain modal values and then using a Vandermonde matrix for the derivatives of the basis to return to nodal values. .. autofunction:: differentiation_matrices + +.. autofunction:: diff_matrix_permutation """ @@ -191,6 +193,29 @@ def differentiation_matrices(basis, grad_basis, nodes, from_nodes=None): order="C") +def diff_matrix_permutation(node_tuples, ref_axis): + """Return a :mod:`numpy` array *permutation* of integers so that:: + + diff_matrices[ref_axis] == diff_matrices[0][permutation][:, permutation] + + .. versionadded:: 2020.1 + """ + ntup_index_lookup = {nt: i for i, nt in enumerate(node_tuples)} + + if ref_axis == 0: + return np.arange(len(node_tuples), dtype=np.intp) + + permutation = np.zeros(len(node_tuples), dtype=np.intp) + for i, nt in enumerate(node_tuples): + swapped = list(nt) + swapped[0], swapped[ref_axis] = swapped[ref_axis], swapped[0] + swapped = tuple(swapped) + flipped_idx = ntup_index_lookup[swapped] + permutation[i] = flipped_idx + + return permutation + + def inverse_mass_matrix(basis, nodes): """Return a matrix :math:`A=M^{-1}`, which is the inverse of the one returned by :func:`mass_matrix`. @@ -293,4 +318,5 @@ def nodal_face_mass_matrix(trial_basis, volume_nodes, face_nodes, order, trial_basis, order, face_vertices, test_basis=test_basis) return la.inv(vol_vdm.T).dot(modal_fmm).dot(la.pinv(face_vdm)) + # vim: foldmethod=marker diff --git a/test/test_tools.py b/test/test_tools.py index 7867a51..1869ea9 100644 --- a/test/test_tools.py +++ b/test/test_tools.py @@ -181,6 +181,27 @@ def test_diff_matrix(dims): assert la.norm(df_dx-df_dx_num) < 1e-3 +@pytest.mark.parametrize("dims", [2, 3]) +def test_diff_matrix_permutation(dims): + order = 5 + + from pytools import \ + generate_nonnegative_integer_tuples_summing_to_at_most as gnitstam + node_tuples = list(gnitstam(order, dims)) + + simplex_onb = mp.simplex_onb(dims, order) + grad_simplex_onb = mp.grad_simplex_onb(dims, order) + nodes = np.array(mp.warp_and_blend_nodes(dims, order, node_tuples=node_tuples)) + diff_matrices = mp.differentiation_matrices(simplex_onb, grad_simplex_onb, nodes) + + for iref_axis in range(dims): + perm = mp.diff_matrix_permutation(node_tuples, iref_axis) + + assert la.norm( + diff_matrices[iref_axis] + - diff_matrices[0][perm][:, perm]) < 1e-10 + + @pytest.mark.parametrize("dim", [1, 2, 3]) def test_modal_face_mass_matrix(dim, order=3): from modepy.tools import unit_vertices -- GitLab From 7dd754e585031091c70475cb241f756408dad1ee Mon Sep 17 00:00:00 2001 From: "[6~" Date: Tue, 12 May 2020 23:04:10 -0500 Subject: [PATCH 2/3] Run Flake8 on examples --- .github/workflows/ci.yml | 2 +- .gitlab-ci.yml | 2 +- examples/derivative.py | 2 +- examples/plot-basis.py | 7 ++++--- 4 files changed, 7 insertions(+), 6 deletions(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index c30cf66..1641b45 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -22,7 +22,7 @@ jobs: - name: "Main Script" run: | curl -L -O -k https://gitlab.tiker.net/inducer/ci-support/raw/master/prepare-and-run-flake8.sh - . ./prepare-and-run-flake8.sh ./modepy ./test + . ./prepare-and-run-flake8.sh ./modepy ./examples ./test pytest: name: Pytest on Py${{ matrix.python-version }} diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml index e65b07f..0e2ba54 100644 --- a/.gitlab-ci.yml +++ b/.gitlab-ci.yml @@ -39,7 +39,7 @@ Documentation: Flake8: script: - curl -L -O -k https://gitlab.tiker.net/inducer/ci-support/raw/master/prepare-and-run-flake8.sh - - ". ./prepare-and-run-flake8.sh modepy test" + - ". ./prepare-and-run-flake8.sh modepy examples test" tags: - python3 except: diff --git a/examples/derivative.py b/examples/derivative.py index 6fe644f..3451fdb 100644 --- a/examples/derivative.py +++ b/examples/derivative.py @@ -1,7 +1,7 @@ import numpy as np import modepy as mp -n = 17 # use this total degree +n = 17 # use this total degree dimensions = 2 # Get a basis of orthonormal functions, and their derivatives. diff --git a/examples/plot-basis.py b/examples/plot-basis.py index 3f9516c..a4fec88 100644 --- a/examples/plot-basis.py +++ b/examples/plot-basis.py @@ -49,9 +49,10 @@ mlab.triangular_mesh( 0.2*all_values, all_triangles) -x, y = np.mgrid[-1:p*stretch_factor +1:20j, -1:p*stretch_factor +1:20j] -mlab.mesh(x, y, 0*x, representation="wireframe", color=(0.4, 0.4, 0.4), line_width=0.6) +x, y = np.mgrid[-1:p*stretch_factor + 1:20j, -1:p*stretch_factor + 1:20j] +mlab.mesh(x, y, 0*x, representation="wireframe", color=(0.4, 0.4, 0.4), + line_width=0.6) -mlab.view(-153, 58, 10, np.array([ 1.61, 2.49, -0.59])) +mlab.view(-153, 58, 10, np.array([1.61, 2.49, -0.59])) mlab.show() -- GitLab From fac98c7e172fc59118fdd12c6b9c9ac0363dc641 Mon Sep 17 00:00:00 2001 From: "[6~" Date: Tue, 12 May 2020 23:04:23 -0500 Subject: [PATCH 3/3] Reformat quad data for flake8 --- modepy/quadrature/vr_quad_data_tet.py | 8160 +++--- modepy/quadrature/vr_quad_data_tri.py | 10920 +++---- modepy/quadrature/xg_quad_data.py | 37295 ++++++++++++------------ 3 files changed, 28232 insertions(+), 28143 deletions(-) diff --git a/modepy/quadrature/vr_quad_data_tet.py b/modepy/quadrature/vr_quad_data_tet.py index a41d11f..7cc2440 100644 --- a/modepy/quadrature/vr_quad_data_tet.py +++ b/modepy/quadrature/vr_quad_data_tet.py @@ -1,4 +1,5 @@ from __future__ import absolute_import + # GENERATED by modepy/contrib/weights-from-fortran.py # DO NOT EDIT @@ -24,4019 +25,4146 @@ def process_rule(table): return result -tetrahedron_data = process_rule({ # noqa - 0: {points: [[0.00000000000000000000000000000000e+00], - [0.00000000000000000000000000000000e+00], - [0.00000000000000000000000000000000e+00]], - quad_degree: 1, - weights: [0.10000000000000000000000000000000e+01]}, - 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+++ b/modepy/quadrature/xg_quad_data.py @@ -1,4 +1,5 @@ from __future__ import absolute_import + # GENERATED, DO NOT EDIT # Xiao-Gimbutas quadratures # http://dx.doi.org/10.1016/j.camwa.2009.10.027 @@ -6,18785 +7,18537 @@ import numpy import six triangle_table = { # noqa - 1: {'points': [[-5.55111512312578e-17, 2.22044604925031e-16]], - 'weights': [1.73205080756888]}, - 2: {'points': [[-0.5, -0.288675134594813], - [0.5, -0.288675134594813], - [0.0, 0.577350269189626]], - 'weights': [0.577350269189626, 0.577350269189626, 0.577350269189626]}, - 3: {'points': [[-4.16333634234434e-17, -0.390110349270987], - [0.337845472747895, 0.195055174635493], - [-0.337845472747895, 0.195055174635494], - [-0.725271359470687, -0.418735614625928], - [0.725271359470688, -0.418735614625927], - [0.0, 0.837471229251855]], - 'weights': [0.386908262797819, - 0.386908262797819, - 0.386908262797819, - 0.190442006391806, - 0.190442006391806, - 0.190442006391806]}, - 4: {'points': [[-4.16333634234434e-17, 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