From 9ddbacb8f14e34d037d5ce9c124607ff3e6737c3 Mon Sep 17 00:00:00 2001 From: Drew Parsons Date: Thu, 15 Oct 2020 21:05:40 +0800 Subject: [PATCH] Import pygalmesh_0.9.1.orig.tar.xz [dgit import orig pygalmesh_0.9.1.orig.tar.xz] --- .codecov.yml | 1 + .flake8 | 5 + .gitattributes | 3 + .github/workflows/ci.yml | 51 + .gitignore | 9 + .pylintrc | 8 + CMakeLists.txt | 7 + LICENSE | 674 + MANIFEST.in | 14 + Makefile | 34 + README.md | 495 + pygalmesh/__about__.py | 14 + pygalmesh/__init__.py | 73 + pygalmesh/_cli/__init__.py | 5 + pygalmesh/_cli/_inr.py | 131 + pygalmesh/_cli/_remesh_surface.py | 80 + pygalmesh/_cli/_volume_from_surface.py | 140 + pygalmesh/_cli/helpers.py | 20 + pygalmesh/main.py | 450 + pyproject.toml | 3 + setup.cfg | 46 + setup.py | 126 + src/CMakeLists.txt | 27 + src/domain.hpp | 490 + src/generate.cpp | 183 + src/generate.hpp | 46 + src/generate_2d.cpp | 96 + src/generate_2d.hpp | 25 + src/generate_from_inr.cpp | 164 + src/generate_from_inr.hpp | 48 + src/generate_from_off.cpp | 138 + src/generate_from_off.hpp | 30 + src/generate_periodic.cpp | 123 + src/generate_periodic.hpp | 33 + src/generate_surface_mesh.cpp | 102 + src/generate_surface_mesh.hpp | 24 + src/polygon2d.hpp | 308 + src/primitives.hpp | 464 + src/pybind11.cpp | 388 + src/remesh_surface.cpp | 87 + src/remesh_surface.hpp | 22 + src/sizing_field.hpp | 23 + test/helpers.py | 36 + test/meshes/elephant.vtu | 15 + test/meshes/lion-head.off | 25034 +++++++++++++++++++++++ test/meshes/skull_2.9.inr | Bin 0 -> 1048832 bytes test/test_2d.py | 58 + test/test_from_array.py | 72 + test/test_inr.py | 42 + test/test_periodic.py | 42 + test/test_readme.py | 21 + test/test_remesh_surface.py | 60 + test/test_surface_mesh.py | 28 + test/test_volume_from_surface.py | 48 + test/test_volume_mesh.py | 616 + tox.ini | 11 + 56 files changed, 31293 insertions(+) create mode 100644 .codecov.yml create mode 100644 .flake8 create mode 100644 .gitattributes create mode 100644 .github/workflows/ci.yml create mode 100644 .gitignore create mode 100644 .pylintrc create mode 100644 CMakeLists.txt create mode 100644 LICENSE create mode 100644 MANIFEST.in create mode 100644 Makefile create mode 100644 README.md create mode 100644 pygalmesh/__about__.py create mode 100644 pygalmesh/__init__.py create mode 100644 pygalmesh/_cli/__init__.py create mode 100644 pygalmesh/_cli/_inr.py create mode 100644 pygalmesh/_cli/_remesh_surface.py create mode 100644 pygalmesh/_cli/_volume_from_surface.py create mode 100644 pygalmesh/_cli/helpers.py create mode 100644 pygalmesh/main.py create mode 100644 pyproject.toml create mode 100644 setup.cfg create mode 100644 setup.py create mode 100644 src/CMakeLists.txt create mode 100644 src/domain.hpp create mode 100644 src/generate.cpp create mode 100644 src/generate.hpp create mode 100644 src/generate_2d.cpp create mode 100644 src/generate_2d.hpp create mode 100644 src/generate_from_inr.cpp create mode 100644 src/generate_from_inr.hpp create mode 100644 src/generate_from_off.cpp create mode 100644 src/generate_from_off.hpp create mode 100644 src/generate_periodic.cpp create mode 100644 src/generate_periodic.hpp create mode 100644 src/generate_surface_mesh.cpp create mode 100644 src/generate_surface_mesh.hpp create mode 100644 src/polygon2d.hpp create mode 100644 src/primitives.hpp create mode 100644 src/pybind11.cpp create mode 100644 src/remesh_surface.cpp create mode 100644 src/remesh_surface.hpp create mode 100644 src/sizing_field.hpp create mode 100644 test/helpers.py create mode 100644 test/meshes/elephant.vtu create mode 100644 test/meshes/lion-head.off create mode 100644 test/meshes/skull_2.9.inr create mode 100644 test/test_2d.py create mode 100644 test/test_from_array.py create mode 100644 test/test_inr.py create mode 100644 test/test_periodic.py create mode 100644 test/test_readme.py create mode 100644 test/test_remesh_surface.py create mode 100644 test/test_surface_mesh.py create mode 100644 test/test_volume_from_surface.py create mode 100644 test/test_volume_mesh.py create mode 100644 tox.ini diff --git a/.codecov.yml b/.codecov.yml new file mode 100644 index 0000000..a052f98 --- /dev/null +++ b/.codecov.yml @@ -0,0 +1 @@ +comment: no diff --git a/.flake8 b/.flake8 new file mode 100644 index 0000000..c321e71 --- /dev/null +++ b/.flake8 @@ -0,0 +1,5 @@ +[flake8] +ignore = E203, E266, E501, W503 +max-line-length = 80 +max-complexity = 18 +select = B,C,E,F,W,T4,B9 diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000..2c8f9bb --- /dev/null +++ b/.gitattributes @@ -0,0 +1,3 @@ +*.inr filter=lfs diff=lfs merge=lfs -text +*.off filter=lfs diff=lfs merge=lfs -text +*.vtu filter=lfs diff=lfs merge=lfs -text diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml new file mode 100644 index 0000000..a9460bc --- /dev/null +++ b/.github/workflows/ci.yml @@ -0,0 +1,51 @@ +name: ci + +on: + push: + branches: + - master + pull_request: + branches: + - master + +jobs: + lint: + runs-on: ubuntu-latest + steps: + - uses: actions/setup-python@v2 + with: + python-version: "3.x" + - uses: actions/checkout@v2 + - name: Lint with flake8 + run: | + pip install flake8 + flake8 . + - name: Lint with black + run: | + pip install black + black --check . + + build: + runs-on: ubuntu-20.04 + steps: + - uses: actions/setup-python@v2 + with: + python-version: "3.x" + - uses: actions/checkout@v2 + with: + lfs: true + - name: Install CGAL 5 from PPA + run: | + sudo apt-get install -y software-properties-common + sudo apt-add-repository -y ppa:nschloe/cgal-backports + sudo apt update + sudo apt install -y libcgal-dev + - name: Install other dependencies + run: | + sudo apt-get install -y libeigen3-dev python3-pip clang + - name: Test with tox + run: | + pip install tox + CC="clang" tox + - name: Submit to codecov + run: bash <(curl -s https://codecov.io/bash) diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..696f5a3 --- /dev/null +++ b/.gitignore @@ -0,0 +1,9 @@ +*.mesh +.cache/ +build/ +dist/ +MANIFEST +README.rst +do-configure.sh +.pytest_cache/ +*.egg-info/ diff --git a/.pylintrc b/.pylintrc new file mode 100644 index 0000000..31f545d --- /dev/null +++ b/.pylintrc @@ -0,0 +1,8 @@ +[MESSAGES CONTROL] + +disable= + fixme, + invalid-name, + missing-docstring, + no-member, + too-few-public-methods diff --git a/CMakeLists.txt b/CMakeLists.txt new file mode 100644 index 0000000..56b6e55 --- /dev/null +++ b/CMakeLists.txt @@ -0,0 +1,7 @@ +# CMake is used for debugging in pygalmesh. 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If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +. diff --git a/MANIFEST.in b/MANIFEST.in new file mode 100644 index 0000000..0163cb5 --- /dev/null +++ b/MANIFEST.in @@ -0,0 +1,14 @@ +include src/domain.hpp +include src/generate_from_inr.hpp +include src/generate_from_off.hpp +include src/generate_periodic.hpp +include src/generate.hpp +include src/generate_2d.hpp +include src/generate_surface_mesh.hpp +include src/polygon2d.hpp +include src/primitives.hpp +include src/remesh_surface.hpp +include src/sizing_field.hpp + +include test/helpers.py +recursive-include test/meshes * diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..79d6e0d --- /dev/null +++ b/Makefile @@ -0,0 +1,34 @@ +VERSION=$(shell python3 -c "from configparser import ConfigParser; p = ConfigParser(); p.read('setup.cfg'); print(p['metadata']['version'])") + +default: + @echo "\"make publish\"?" + +tag: + @if [ "$(shell git rev-parse --abbrev-ref HEAD)" != "master" ]; then exit 1; fi + curl -H "Authorization: token `cat $(HOME)/.github-access-token`" -d '{"tag_name": "v$(VERSION)"}' https://api.github.com/repos/nschloe/pygalmesh/releases + +upload: clean + # Make sure we're on the master branch + @if [ "$(shell git rev-parse --abbrev-ref HEAD)" != "master" ]; then exit 1; fi + python3 setup.py sdist + twine upload dist/*.tar.gz + # HTTPError: 400 Client Error: Binary wheel 'pygalmesh-0.2.0-cp27-cp27mu-linux_x86_64.whl' has an unsupported platform tag 'linux_x86_64'. for url: https://upload.pypi.org/legacy/ + # python3 setup.py bdist_wheel + # twine upload dist/*.whl + +publish: tag upload + +clean: + @find . | grep -E "(__pycache__|\.pyc|\.pyo$\)" | xargs rm -rf + @rm -rf build/* + @rm -rf pygalmesh.egg-info/ + @rm -rf dist/ + +format: + isort . + black . + blacken-docs README.md + +lint: + black --check . + flake8 setup.py pygalmesh/ test/*.py diff --git a/README.md b/README.md new file mode 100644 index 0000000..18bf50c --- /dev/null +++ b/README.md @@ -0,0 +1,495 @@ +

+ pygalmesh +

Create high-quality meshes with ease.

+

+ +[![PyPi Version](https://img.shields.io/pypi/v/pygalmesh.svg?style=flat-square)](https://pypi.org/project/pygalmesh) +[![Anaconda Cloud](https://anaconda.org/conda-forge/pygalmesh/badges/version.svg?=style=flat-square)](https://anaconda.org/conda-forge/pygalmesh/) +[![Packaging status](https://repology.org/badge/tiny-repos/pygalmesh.svg)](https://repology.org/project/pygalmesh/versions) +[![PyPI pyversions](https://img.shields.io/pypi/pyversions/pygalmesh.svg?style=flat-square)](https://pypi.org/pypi/pygalmesh/) +[![GitHub stars](https://img.shields.io/github/stars/nschloe/pygalmesh.svg?style=flat-square&label=Stars&logo=github)](https://github.com/nschloe/pygalmesh) +[![PyPi downloads](https://img.shields.io/pypi/dm/pygalmesh.svg?style=flat-square)](https://pypistats.org/packages/pygalmesh) + +[![Slack](https://img.shields.io/static/v1?logo=slack&label=chat&message=on%20slack&color=4a154b&style=flat-square)](https://join.slack.com/t/nschloe/shared_invite/zt-cofhrwm8-BgdrXAtVkOjnDmADROKD7A +) + +[![gh-actions](https://img.shields.io/github/workflow/status/nschloe/pygalmesh/ci?style=flat-square)](https://github.com/nschloe/pygalmesh/actions?query=workflow%3Aci) +[![codecov](https://img.shields.io/codecov/c/github/nschloe/pygalmesh.svg?style=flat-square)](https://codecov.io/gh/nschloe/pygalmesh) +[![LGTM](https://img.shields.io/lgtm/grade/python/github/nschloe/pygalmesh.svg?style=flat-square)](https://lgtm.com/projects/g/nschloe/pygalmesh) +[![Code style: black](https://img.shields.io/badge/code%20style-black-000000.svg?style=flat-square)](https://github.com/psf/black) + +pygalmesh is a Python frontend to [CGAL](https://www.cgal.org/)'s +[2D](https://doc.cgal.org/latest/Mesh_2/index.html) and [3D mesh generation +capabilities](https://doc.cgal.org/latest/Mesh_3/index.html). pygalmesh makes it easy +to create high-quality 2D, 3D volume meshes, periodic volume meshes, and surface meshes. + +### Examples + +#### 2D meshes + + +CGAL generates 2D meshes from linear contraints. +```python +import numpy +import pygalmesh + +points = numpy.array([[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 1.0]]) +constraints = [[0, 1], [1, 2], [2, 3], [3, 0]] + +mesh = pygalmesh.generate_2d( + points, + constraints, + max_edge_size=1.0e-1, + num_lloyd_steps=10, +) +# mesh.points, mesh.cells +``` +The quality of the mesh isn't very good, but can be improved with +[optimesh](https://github.com/nschloe/optimesh). + +#### A simple ball + + +```python +import pygalmesh + +s = pygalmesh.Ball([0, 0, 0], 1.0) +mesh = pygalmesh.generate_mesh(s, max_cell_circumradius=0.2) + +# mesh.points, mesh.cells, ... +``` +You can write the mesh with + +```python +mesh.write("out.vtk") +``` +You can use any format supported by [meshio](https://github.com/nschloe/meshio). + +The mesh generation comes with many more options, described +[here](https://doc.cgal.org/latest/Mesh_3/). Try, for example, + +```python +mesh = pygalmesh.generate_mesh( + s, max_cell_circumradius=0.2, odt=True, lloyd=True, verbose=False +) +``` + +#### Other primitive shapes + + +pygalmesh provides out-of-the-box support for balls, cuboids, ellipsoids, tori, cones, +cylinders, and tetrahedra. Try for example +```python +import pygalmesh + +s0 = pygalmesh.Tetrahedron( + [0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 1.0] +) +mesh = pygalmesh.generate_mesh( + s0, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=0.1, +) +``` + +#### Domain combinations + + +Supported are unions, intersections, and differences of all domains. As mentioned above, +however, the sharp intersections between two domains are not automatically handled. Try +for example +```python +import pygalmesh + +radius = 1.0 +displacement = 0.5 +s0 = pygalmesh.Ball([displacement, 0, 0], radius) +s1 = pygalmesh.Ball([-displacement, 0, 0], radius) +u = pygalmesh.Difference(s0, s1) +``` +To sharpen the intersection circle, add it as a feature edge polygon line, e.g., +```python +import numpy +import pygalmesh + +radius = 1.0 +displacement = 0.5 +s0 = pygalmesh.Ball([displacement, 0, 0], radius) +s1 = pygalmesh.Ball([-displacement, 0, 0], radius) +u = pygalmesh.Difference(s0, s1) + +# add circle +a = numpy.sqrt(radius ** 2 - displacement ** 2) +max_edge_size_at_feature_edges = 0.15 +n = int(2 * numpy.pi * a / max_edge_size_at_feature_edges) +circ = [ + [0.0, a * numpy.cos(i * 2 * numpy.pi / n), a * numpy.sin(i * 2 * numpy.pi / n)] + for i in range(n) +] +circ.append(circ[0]) + +mesh = pygalmesh.generate_mesh( + u, + extra_feature_edges=[circ], + max_cell_circumradius=0.15, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + min_facet_angle=25, + max_radius_surface_delaunay_ball=0.15, + max_circumradius_edge_ratio=2.0, +) +``` +Note that the length of the polygon legs are kept in sync with +`max_edge_size_at_feature_edges` of the mesh generation. This makes sure that it fits in +nicely with the rest of the mesh. + +#### Domain deformations + + +You can of course translate, rotate, scale, and stretch any domain. Try, for example, +```python +import pygalmesh + +s = pygalmesh.Stretch(pygalmesh.Ball([0, 0, 0], 1.0), [1.0, 2.0, 0.0]) + +mesh = pygalmesh.generate_mesh(s, max_cell_circumradius=0.1) +``` + +#### Extrusion of 2D polygons + + +pygalmesh lets you extrude any polygon into a 3D body. It even supports rotation +alongside! +```python +import pygalmesh + +p = pygalmesh.Polygon2D([[-0.5, -0.3], [0.5, -0.3], [0.0, 0.5]]) +max_edge_size_at_feature_edges = 0.1 +domain = pygalmesh.Extrude( + p, + [0.0, 0.0, 1.0], + 0.5 * 3.14159265359, + max_edge_size_at_feature_edges, +) +mesh = pygalmesh.generate_mesh( + domain, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + verbose=False, +) +``` +Feature edges are automatically preserved here, which is why an edge length needs to be +given to `pygalmesh.Extrude`. + +#### Rotation bodies + + +Polygons in the x-z-plane can also be rotated around the z-axis to yield a rotation +body. +```python +import pygalmesh + +p = pygalmesh.Polygon2D([[0.5, -0.3], [1.5, -0.3], [1.0, 0.5]]) +max_edge_size_at_feature_edges = 0.1 +domain = pygalmesh.RingExtrude(p, max_edge_size_at_feature_edges) +mesh = pygalmesh.generate_mesh( + domain, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + verbose=False, +) +``` + +#### Your own custom level set function + + +If all of the variety is not enough for you, you can define your own custom level set +function. You simply need to subclass `pygalmesh.DomainBase` and specify a function, +e.g., +```python +import pygalmesh + + +class Heart(pygalmesh.DomainBase): + def __init__(self): + super().__init__() + + def eval(self, x): + return ( + (x[0] ** 2 + 9.0 / 4.0 * x[1] ** 2 + x[2] ** 2 - 1) ** 3 + - x[0] ** 2 * x[2] ** 3 + - 9.0 / 80.0 * x[1] ** 2 * x[2] ** 3 + ) + + def get_bounding_sphere_squared_radius(self): + return 10.0 + + +d = Heart() +mesh = pygalmesh.generate_mesh(d, max_cell_circumradius=0.1) +``` +Note that you need to specify the square of a bounding sphere radius, used as an input +to CGAL's mesh generator. + + +#### Local refinement + + +Use `generate_mesh` with a function (regular or lambda) as `max_cell_circumradius`. The +same goes for `max_edge_size_at_feature_edges`, `max_radius_surface_delaunay_ball`, and +`max_facet_distance`. +```python +import numpy +import pygalmesh + +mesh = pygalmesh.generate_mesh( + pygalmesh.Ball([0.0, 0.0, 0.0], 1.0), + min_facet_angle=30.0, + max_radius_surface_delaunay_ball=0.1, + max_facet_distance=0.025, + max_circumradius_edge_ratio=2.0, + max_cell_circumradius=lambda x: abs(numpy.sqrt(numpy.dot(x, x)) - 0.5) / 5 + 0.025, +) +``` + +#### Surface meshes + +If you're only after the surface of a body, pygalmesh has `generate_surface_mesh` for +you. It offers fewer options (obviously, `max_cell_circumradius` is gone), but otherwise +works the same way: +```python +import pygalmesh + +s = pygalmesh.Ball([0, 0, 0], 1.0) +mesh = pygalmesh.generate_surface_mesh( + s, + min_facet_angle=30.0, + max_radius_surface_delaunay_ball=0.1, + max_facet_distance=0.1, +) +``` +Refer to [CGAL's +documention](https://doc.cgal.org/latest/Surface_mesher/index.html) for the +options. + +#### Periodic volume meshes + + +pygalmesh also interfaces CGAL's [3D periodic +mesh generation](https://doc.cgal.org/latest/Periodic_3_mesh_3/index.html). Besides a +domain, one needs to specify a bounding box, and optionally the number of copies in the +output (1, 2, 4, or 8). Example: +```python +import numpy +import pygalmesh + + +class Schwarz(pygalmesh.DomainBase): + def __init__(self): + super().__init__() + + def eval(self, x): + x2 = numpy.cos(x[0] * 2 * numpy.pi) + y2 = numpy.cos(x[1] * 2 * numpy.pi) + z2 = numpy.cos(x[2] * 2 * numpy.pi) + return x2 + y2 + z2 + + +mesh = pygalmesh.generate_periodic_mesh( + Schwarz(), + [0, 0, 0, 1, 1, 1], + max_cell_circumradius=0.05, + min_facet_angle=30, + max_radius_surface_delaunay_ball=0.05, + max_facet_distance=0.025, + max_circumradius_edge_ratio=2.0, + number_of_copies_in_output=4, + # odt=True, + # lloyd=True, + verbose=False, +) +``` + +#### Volume meshes from surface meshes + + +If you have a surface mesh at hand (like +[elephant.vtu](http://nschloe.github.io/pygalmesh/elephant.vtu)), pygalmesh generates a +volume mesh on the command line via +``` +pygalmesh-volume-from-surface elephant.vtu out.vtk --cell-size 1.0 --odt +``` +(See `pygalmesh-volume-from-surface -h` for all options.) + +In Python, do + +```python +import pygalmesh + +mesh = pygalmesh.generate_volume_mesh_from_surface_mesh( + "elephant.vtu", + min_facet_angle=25.0, + max_radius_surface_delaunay_ball=0.15, + max_facet_distance=0.008, + max_circumradius_edge_ratio=3.0, + verbose=False, +) +``` + +#### Meshes from INR voxel files + + +It is also possible to generate meshes from INR voxel files, e.g., +[skull_2.9.inr](https://github.com/nschloe/pygalmesh/raw/gh-pages/skull_2.9.inr) +either on the command line +``` +pygalmesh-from-inr skull_2.9.inr out.vtu --cell-size 5.0 --odt +``` +(see `pygalmesh-from-inr -h` for all options) or from Python + +```python +import pygalmesh + +mesh = pygalmesh.generate_from_inr( + "skull_2.9.inr", + max_cell_circumradius=5.0, + verbose=False, +) +``` + +#### Meshes from numpy arrays representing 3D images + + +pygalmesh can help generating unstructed meshes from 3D numpy arrays. + +The code below creates a mesh from the 3D breast phantom from [Lou et +al](http://biomedicaloptics.spiedigitallibrary.org/article.aspx?articleid=2600985) +available +[here](https://wustl.app.box.com/s/rqivtin0xcofjwlkz43acou8jknsbfx8/file/127108205145). +The phantom comprises four tissue types (background, fat, fibrograndular, skin, vascular +tissues). The generated mesh conforms to tissues interfaces. + +```python +import pygalmesh +import meshio + +Nx = 722 +Ny = 411 +Nz = 284 +h = [0.2] * 3 + +with open("MergedPhantom.DAT", "rb") as fid: + vol = np.fromfile(fid, dtype=np.uint8) + +vol = vol.reshape((Nx, Ny, Nz)) + +mesh = pygalmesh.generate_from_array( + vol, h, max_facet_distance=0.2, max_cell_circumradius=1.0 +) +mesh.write("breast.vtk") +``` + +In addition, we can specify different mesh sizes for each tissue type. The code below +sets the mesh size to *1 mm* for the skin tissue (label `4`), *0.5 mm* for the vascular +tissue (label `5`), and *2 mm* for all other tissues (`default`). + + +```python +mesh = pygalmesh.generate_from_array( + vol, + h, + max_facet_distance=0.2, + max_cell_circumradius={"default": 2.0, 4: 1.0, 5: 0.5}, +) +mesh.write("breast_adapted.vtk") +``` + +#### Surface remeshing + | +:---:|:---:| + +pygalmesh can help remeshing an existing surface mesh, e.g., +[`lion-head.off`](https://github.com/nschloe/pygalmesh/raw/gh-pages/lion-head.off). On +the command line, use + +``` +pygalmesh-remesh-surface lion-head.off out.vtu -e 0.025 -a 25 -s 0.1 -d 0.001 +``` +(see `pygalmesh-remesh-surface -h` for all options) or from Python + +```python +import pygalmesh + +mesh = pygalmesh.remesh_surface( + "lion-head.off", + max_edge_size_at_feature_edges=0.025, + min_facet_angle=25, + max_radius_surface_delaunay_ball=0.1, + max_facet_distance=0.001, + verbose=False, +) +``` + +### Installation + +For installation, pygalmesh needs [CGAL](https://www.cgal.org/) and +[Eigen](http://eigen.tuxfamily.org/index.php?title=Main_Page) installed on your +system. They are typically available on your Linux distribution, e.g., on +Ubuntu +``` +sudo apt install libcgal-dev libeigen3-dev +``` +After that, pygalmesh can be [installed from the Python Package +Index](https://pypi.org/project/pygalmesh/), so with +``` +pip install -U pygalmesh +``` +you can install/upgrade. + +#### Manual installation + +For manual installation (if you're a developer or just really keen on getting +the bleeding edge version of pygalmesh), there are two possibilities: + + * Get the sources, type `python3 setup.py install`. This does the trick + most the time. + * As a fallback, there's a CMake-based installation. Simply go `cmake + /path/to/sources/` and `make`. + +### Testing + +To run the pygalmesh unit tests, check out this repository and type +``` +pytest +``` + + +### Background + +CGAL offers two different approaches for mesh generation: + +1. Meshes defined implicitly by level sets of functions. +2. Meshes defined by a set of bounding planes. + +pygalmesh provides a front-end to the first approach, which has the following advantages +and disadvantages: + +* All boundary points are guaranteed to be in the level set within any specified + residual. This results in smooth curved surfaces. +* Sharp intersections of subdomains (e.g., in unions or differences of sets) need to be + specified manually (via feature edges, see below), which can be tedious. + +On the other hand, the bounding-plane approach (realized by +[mshr](https://bitbucket.org/fenics-project/mshr)), has the following properties: + +* Smooth, curved domains are approximated by a set of bounding planes, resulting in more + of less visible edges. +* Intersections of domains can be computed automatically, so domain unions etc. have + sharp edges where they belong. + +See [here](https://github.com/nschloe/awesome-scientific-computing#meshing) for other +mesh generation tools. + + +### License + +pygalmesh is published under the [GPLv3 license](https://www.gnu.org/licenses/gpl-3.0.en.html). diff --git a/pygalmesh/__about__.py b/pygalmesh/__about__.py new file mode 100644 index 0000000..8c2ff90 --- /dev/null +++ b/pygalmesh/__about__.py @@ -0,0 +1,14 @@ +from _pygalmesh import _CGAL_VERSION_STR + +try: + # Python 3.8 + from importlib import metadata +except ImportError: + import importlib_metadata as metadata + +try: + __version__ = metadata.version("pygalmesh") +except Exception: + __version__ = "unknown" + +__cgal_version__ = _CGAL_VERSION_STR diff --git a/pygalmesh/__init__.py b/pygalmesh/__init__.py new file mode 100644 index 0000000..3a73598 --- /dev/null +++ b/pygalmesh/__init__.py @@ -0,0 +1,73 @@ +# https://github.com/pybind/pybind11/issues/1004 +from _pygalmesh import ( + Ball, + Cone, + Cuboid, + Cylinder, + Difference, + DomainBase, + Ellipsoid, + Extrude, + HalfSpace, + Intersection, + Polygon2D, + RingExtrude, + Rotate, + Scale, + Stretch, + Tetrahedron, + Torus, + Translate, + Union, +) + +from . import _cli +from .__about__ import __cgal_version__, __version__ +from .main import ( + generate_2d, + generate_from_array, + generate_from_inr, + generate_mesh, + generate_periodic_mesh, + generate_surface_mesh, + generate_volume_mesh_from_surface_mesh, + remesh_surface, + save_inr, +) + +__all__ = [ + "__version__", + "__cgal_version__", + # + "_cli", + # + "DomainBase", + "Translate", + "Rotate", + "Scale", + "Stretch", + "Intersection", + "Union", + "Difference", + "Extrude", + "Ball", + "Cuboid", + "Ellipsoid", + "Tetrahedron", + "Cone", + "Cylinder", + "Torus", + "HalfSpace", + "Polygon2D", + "RingExtrude", + # + "generate_mesh", + "generate_2d", + "generate_periodic_mesh", + "generate_surface_mesh", + "generate_volume_mesh_from_surface_mesh", + "generate_from_array", + "generate_from_inr", + "remesh_surface", + "save_inr", +] diff --git a/pygalmesh/_cli/__init__.py b/pygalmesh/_cli/__init__.py new file mode 100644 index 0000000..180a34c --- /dev/null +++ b/pygalmesh/_cli/__init__.py @@ -0,0 +1,5 @@ +from ._inr import inr +from ._remesh_surface import remesh_surface +from ._volume_from_surface import volume_from_surface + +__all__ = ["inr", "volume_from_surface", "remesh_surface"] diff --git a/pygalmesh/_cli/_inr.py b/pygalmesh/_cli/_inr.py new file mode 100644 index 0000000..38d48a6 --- /dev/null +++ b/pygalmesh/_cli/_inr.py @@ -0,0 +1,131 @@ +import argparse + +import meshio + +from ..main import generate_from_inr +from .helpers import _get_version_text + + +def inr(argv=None): + parser = _get_inr_parser() + args = parser.parse_args(argv) + + mesh = generate_from_inr( + args.infile, + lloyd=args.lloyd, + odt=args.odt, + perturb=args.perturb, + exude=args.exude, + max_edge_size_at_feature_edges=args.max_edge_size_at_feature_edges, + min_facet_angle=args.min_facet_angle, + max_radius_surface_delaunay_ball=args.max_radius_surface_delaunay_ball, + max_facet_distance=args.max_facet_distance, + max_circumradius_edge_ratio=args.max_circumradius_edge_ratio, + max_cell_circumradius=args.max_cell_circumradius, + verbose=not args.quiet, + ) + meshio.write(args.outfile, mesh) + + +def _get_inr_parser(): + parser = argparse.ArgumentParser( + description="Generate volume mesh from INR voxel file.", + formatter_class=argparse.RawTextHelpFormatter, + ) + + parser.add_argument("infile", type=str, help="input INR file") + + parser.add_argument("outfile", type=str, help="output mesh file") + + parser.add_argument( + "--lloyd", + "-l", + type=bool, + default=False, + help="Lloyd smoothing (default: false)", + ) + + parser.add_argument( + "--odt", + "-o", + action="store_true", + default=False, + help="ODT smoothing (default: false)", + ) + + parser.add_argument( + "--perturb", + "-p", + action="store_true", + default=False, + help="perturb (default: false)", + ) + + parser.add_argument( + "--exude", + "-x", + action="store_true", + default=False, + help="exude (default: false)", + ) + + parser.add_argument( + "--max-edge-size-at-feature-edges", + "-e", + type=float, + default=0.0, + help="maximum edge size at feature edges (default: 0.0)", + ) + + parser.add_argument( + "--min-facet-angle", + "-a", + type=float, + default=0.0, + help="minimum facet angle (default: 0.0)", + ) + + parser.add_argument( + "--max-radius-surface-delaunay-ball", + "-s", + type=float, + default=0.0, + help="maximum radius of the surface facet Delaunay ball (default: 0.0)", + ) + + parser.add_argument( + "--max-facet-distance", + "-d", + type=float, + default=0.0, + help="maximum facet distance (default: 0.0)", + ) + + parser.add_argument( + "--max-circumradius-edge-ratio", + "-r", + type=float, + default=0.0, + help="cell radius/edge ratio (default: 0.0)", + ) + + parser.add_argument( + "--max-cell-circumradius", + "-c", + type=float, + default=0.0, + help="maximum cell circumradius (default: 0.0)", + ) + + parser.add_argument( + "--quiet", + "-q", + action="store_true", + default=False, + help="quiet mode (default: False)", + ) + + parser.add_argument( + "--version", "-v", action="version", version=_get_version_text() + ) + return parser diff --git a/pygalmesh/_cli/_remesh_surface.py b/pygalmesh/_cli/_remesh_surface.py new file mode 100644 index 0000000..2964497 --- /dev/null +++ b/pygalmesh/_cli/_remesh_surface.py @@ -0,0 +1,80 @@ +import argparse + +import meshio + +from ..main import remesh_surface as rms +from .helpers import _get_version_text + + +def remesh_surface(argv=None): + parser = _get_parser() + args = parser.parse_args(argv) + + mesh = rms( + args.infile, + # lloyd=args.lloyd, + # odt=args.odt, + # perturb=args.perturb, + # exude=args.exude, + max_edge_size_at_feature_edges=args.max_edge_size_at_feature_edges, + min_facet_angle=args.min_facet_angle, + max_radius_surface_delaunay_ball=args.max_radius_surface_delaunay_ball, + max_facet_distance=args.max_facet_distance, + verbose=not args.quiet, + ) + meshio.write(args.outfile, mesh) + + +def _get_parser(): + parser = argparse.ArgumentParser( + description="Remesh surface mesh.", + formatter_class=argparse.RawTextHelpFormatter, + ) + + parser.add_argument("infile", type=str, help="input mesh file") + parser.add_argument("outfile", type=str, help="output mesh file") + + parser.add_argument( + "--max-edge-size-at-feature-edges", + "-e", + type=float, + default=0.0, + help="maximum edge size at feature edges (default: 0.0)", + ) + + parser.add_argument( + "--min-facet-angle", + "-a", + type=float, + default=0.0, + help="minimum facet angle (default: 0.0)", + ) + + parser.add_argument( + "--max-radius-surface-delaunay-ball", + "-s", + type=float, + default=0.0, + help="maximum radius of the surface facet Delaunay ball (default: 0.0)", + ) + + parser.add_argument( + "--max-facet-distance", + "-d", + type=float, + default=0.0, + help="maximum facet distance (default: 0.0)", + ) + + parser.add_argument( + "--quiet", + "-q", + action="store_true", + default=False, + help="quiet mode (default: False)", + ) + + parser.add_argument( + "--version", "-v", action="version", version=_get_version_text() + ) + return parser diff --git a/pygalmesh/_cli/_volume_from_surface.py b/pygalmesh/_cli/_volume_from_surface.py new file mode 100644 index 0000000..4216bc8 --- /dev/null +++ b/pygalmesh/_cli/_volume_from_surface.py @@ -0,0 +1,140 @@ +import argparse + +import meshio + +from ..main import generate_volume_mesh_from_surface_mesh +from .helpers import _get_version_text + + +def volume_from_surface(argv=None): + parser = _get_volume_from_surface_parser() + args = parser.parse_args(argv) + + mesh = generate_volume_mesh_from_surface_mesh( + args.infile, + lloyd=args.lloyd, + odt=args.odt, + perturb=args.perturb, + exude=args.exude, + max_edge_size_at_feature_edges=args.max_edge_size_at_feature_edges, + min_facet_angle=args.min_facet_angle, + max_radius_surface_delaunay_ball=args.max_radius_surface_delaunay_ball, + max_facet_distance=args.max_facet_distance, + max_circumradius_edge_ratio=args.max_circumradius_edge_ratio, + max_cell_circumradius=args.max_cell_circumradius, + reorient=args.reorient, + verbose=not args.quiet, + ) + meshio.write(args.outfile, mesh) + + +def _get_volume_from_surface_parser(): + parser = argparse.ArgumentParser( + description="Generate volume mesh from surface mesh.", + formatter_class=argparse.RawTextHelpFormatter, + ) + + parser.add_argument("infile", type=str, help="input mesh file") + + parser.add_argument("outfile", type=str, help="output mesh file") + + parser.add_argument( + "--lloyd", + "-l", + type=bool, + default=False, + help="Lloyd smoothing (default: false)", + ) + + parser.add_argument( + "--odt", + "-o", + action="store_true", + default=False, + help="ODT smoothing (default: false)", + ) + + parser.add_argument( + "--perturb", + "-p", + action="store_true", + default=False, + help="perturb (default: false)", + ) + + parser.add_argument( + "--exude", + "-x", + action="store_true", + default=False, + help="exude (default: false)", + ) + + parser.add_argument( + "--max-edge-size-at-feature-edges", + "-e", + type=float, + default=0.0, + help="maximum edge size at feature edges (default: 0.0)", + ) + + parser.add_argument( + "--min-facet-angle", + "-a", + type=float, + default=0.0, + help="minimum facet angle (default: 0.0)", + ) + + parser.add_argument( + "--max-radius-surface-delaunay-ball", + "-s", + type=float, + default=0.0, + help="maximum radius of the surface facet Delaunay ball (default: 0.0)", + ) + + parser.add_argument( + "--max-facet-distance", + "-d", + type=float, + default=0.0, + help="maximum facet distance (default: 0.0)", + ) + + parser.add_argument( + "--max-circumradius-edge-ratio", + "-r", + type=float, + default=0.0, + help="cell radius/edge ratio (default: 0.0)", + ) + + parser.add_argument( + "--max-cell-circumradius", + "-c", + type=float, + default=0.0, + help="maximum cell circumradius (default: 0.0)", + ) + + parser.add_argument( + "--reorient", + "-t", + action="store_true", + default=False, + help="automatically fix face orientation (default: False)", + ) + + parser.add_argument( + "--quiet", + "-q", + action="store_true", + default=False, + help="quiet mode (default: False)", + ) + + parser.add_argument( + "--version", "-v", action="version", version=_get_version_text() + ) + return parser diff --git a/pygalmesh/_cli/helpers.py b/pygalmesh/_cli/helpers.py new file mode 100644 index 0000000..5ab9f20 --- /dev/null +++ b/pygalmesh/_cli/helpers.py @@ -0,0 +1,20 @@ +import sys + +from _pygalmesh import _CGAL_VERSION_STR + +from ..__about__ import __version__ + + +def _get_version_text(): + return "\n".join( + [ + "pygalmesh {} [Python {}.{}.{}, CGAL {}]".format( + __version__, + sys.version_info.major, + sys.version_info.minor, + sys.version_info.micro, + _CGAL_VERSION_STR, + ), + "Copyright (c) 2016-2020, Nico Schlömer ", + ] + ) diff --git a/pygalmesh/main.py b/pygalmesh/main.py new file mode 100644 index 0000000..a870be6 --- /dev/null +++ b/pygalmesh/main.py @@ -0,0 +1,450 @@ +import math +import os +import tempfile + +import meshio +import numpy +from _pygalmesh import ( + SizingFieldBase, + _generate_2d, + _generate_from_inr, + _generate_from_inr_with_subdomain_sizing, + _generate_from_off, + _generate_mesh, + _generate_periodic_mesh, + _generate_surface_mesh, + _remesh_surface, +) + + +class Wrapper(SizingFieldBase): + def __init__(self, f): + self.f = f + super().__init__() + + def eval(self, x): + return self.f(x) + + +def generate_mesh( + domain, + extra_feature_edges=None, + bounding_sphere_radius=0.0, + lloyd=False, + odt=False, + perturb=True, + exude=True, + max_edge_size_at_feature_edges=0.0, + min_facet_angle=0.0, + max_radius_surface_delaunay_ball=0.0, + max_facet_distance=0.0, + max_circumradius_edge_ratio=0.0, + max_cell_circumradius=0.0, + verbose=True, + seed=0, +): + """ + From : + + max_edge_size_at_feature_edges: + a scalar field (resp. a constant) providing a space varying (resp. a uniform) + upper bound for the lengths of curve edges. This parameter has to be set to a + positive value when 1-dimensional features protection is used. + min_facet_angle: + a lower bound for the angles (in degrees) of the surface mesh facets. + max_radius_surface_delaunay_ball: + a scalar field (resp. a constant) describing a space varying (resp. a uniform) + upper-bound or for the radii of the surface Delaunay balls. + max_facet_distance: + a scalar field (resp. a constant) describing a space varying (resp. a uniform) + upper bound for the distance between the facet circumcenter and the center of + its surface Delaunay ball. + max_circumradius_edge_ratio: + an upper bound for the radius-edge ratio of the mesh tetrahedra. + max_cell_circumradius: + a scalar field (resp. a constant) describing a space varying (resp. a uniform) + upper-bound for the circumradii of the mesh tetrahedra. + """ + extra_feature_edges = [] if extra_feature_edges is None else extra_feature_edges + + fh, outfile = tempfile.mkstemp(suffix=".mesh") + os.close(fh) + + def _select(obj): + if isinstance(obj, float): + return obj, None + assert callable(obj) + return -1.0, Wrapper(obj) + + ( + max_edge_size_at_feature_edges_value, + max_edge_size_at_feature_edges_field, + ) = _select(max_edge_size_at_feature_edges) + max_cell_circumradius_value, max_cell_circumradius_field = _select( + max_cell_circumradius + ) + ( + max_radius_surface_delaunay_ball_value, + max_radius_surface_delaunay_ball_field, + ) = _select(max_radius_surface_delaunay_ball) + max_facet_distance_value, max_facet_distance_field = _select(max_facet_distance) + + # if feature_edges: + # if max_edge_size_at_feature_edges == 0.0: + # raise ValueError( + # "Need a positive max_edge_size_at_feature_edges bound if feature_edges are present." + # ) + # elif max_edge_size_at_feature_edges != 0.0: + # warnings.warn( + # "No feature edges. The max_edge_size_at_feature_edges argument has no effect." + # ) + + _generate_mesh( + domain, + outfile, + extra_feature_edges=extra_feature_edges, + bounding_sphere_radius=bounding_sphere_radius, + lloyd=lloyd, + odt=odt, + perturb=perturb, + exude=exude, + max_edge_size_at_feature_edges_value=max_edge_size_at_feature_edges_value, + max_edge_size_at_feature_edges_field=max_edge_size_at_feature_edges_field, + min_facet_angle=min_facet_angle, + max_radius_surface_delaunay_ball_value=max_radius_surface_delaunay_ball_value, + max_radius_surface_delaunay_ball_field=max_radius_surface_delaunay_ball_field, + max_facet_distance_value=max_facet_distance_value, + max_facet_distance_field=max_facet_distance_field, + max_circumradius_edge_ratio=max_circumradius_edge_ratio, + max_cell_circumradius_value=max_cell_circumradius_value, + max_cell_circumradius_field=max_cell_circumradius_field, + verbose=verbose, + seed=seed, + ) + + mesh = meshio.read(outfile) + os.remove(outfile) + return mesh + + +def generate_2d( + points, + constraints, + B=math.sqrt(2), + max_edge_size=0.0, + num_lloyd_steps=0, +): + # some sanity checks + points = numpy.asarray(points) + constraints = numpy.asarray(constraints) + assert numpy.all(constraints >= 0) + assert numpy.all(constraints < len(points)) + # make sure there are no edges of 0 length + edges = points[constraints[:, 0]] - points[constraints[:, 1]] + length2 = numpy.einsum("ij,ij->i", edges, edges) + if numpy.any(length2 < 1.0e-15): + raise RuntimeError("Constraint of (near)-zero length.") + + points, cells = _generate_2d( + points, + constraints, + B, + max_edge_size, + num_lloyd_steps, + ) + return meshio.Mesh(numpy.array(points), {"triangle": numpy.array(cells)}) + + +def generate_periodic_mesh( + domain, + bounding_cuboid, + lloyd=False, + odt=False, + perturb=True, + exude=True, + max_edge_size_at_feature_edges=0.0, + min_facet_angle=0.0, + max_radius_surface_delaunay_ball=0.0, + max_facet_distance=0.0, + max_circumradius_edge_ratio=0.0, + max_cell_circumradius=0.0, + number_of_copies_in_output=1, + verbose=True, + seed=0, +): + fh, outfile = tempfile.mkstemp(suffix=".mesh") + os.close(fh) + + assert number_of_copies_in_output in [1, 2, 4, 8] + + _generate_periodic_mesh( + domain, + outfile, + bounding_cuboid, + lloyd=lloyd, + odt=odt, + perturb=perturb, + exude=exude, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + min_facet_angle=min_facet_angle, + max_radius_surface_delaunay_ball=max_radius_surface_delaunay_ball, + max_facet_distance=max_facet_distance, + max_circumradius_edge_ratio=max_circumradius_edge_ratio, + max_cell_circumradius=max_cell_circumradius, + number_of_copies_in_output=number_of_copies_in_output, + verbose=verbose, + seed=seed, + ) + + mesh = meshio.read(outfile) + os.remove(outfile) + return mesh + + +def generate_surface_mesh( + domain, + bounding_sphere_radius=0.0, + min_facet_angle=0.0, + max_radius_surface_delaunay_ball=0.0, + max_facet_distance=0.0, + verbose=True, + seed=0, +): + fh, outfile = tempfile.mkstemp(suffix=".off") + os.close(fh) + + _generate_surface_mesh( + domain, + outfile, + bounding_sphere_radius=bounding_sphere_radius, + min_facet_angle=min_facet_angle, + max_radius_surface_delaunay_ball=max_radius_surface_delaunay_ball, + max_facet_distance=max_facet_distance, + verbose=verbose, + seed=seed, + ) + + mesh = meshio.read(outfile) + os.remove(outfile) + return mesh + + +def generate_volume_mesh_from_surface_mesh( + filename, + lloyd=False, + odt=False, + perturb=True, + exude=True, + max_edge_size_at_feature_edges=0.0, + min_facet_angle=0.0, + max_radius_surface_delaunay_ball=0.0, + max_facet_distance=0.0, + max_circumradius_edge_ratio=0.0, + max_cell_circumradius=0.0, + verbose=True, + reorient=False, + seed=0, +): + mesh = meshio.read(filename) + + fh, off_file = tempfile.mkstemp(suffix=".off") + os.close(fh) + meshio.write(off_file, mesh) + + fh, outfile = tempfile.mkstemp(suffix=".mesh") + os.close(fh) + + _generate_from_off( + off_file, + outfile, + lloyd=lloyd, + odt=odt, + perturb=perturb, + exude=exude, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + min_facet_angle=min_facet_angle, + max_radius_surface_delaunay_ball=max_radius_surface_delaunay_ball, + max_facet_distance=max_facet_distance, + max_circumradius_edge_ratio=max_circumradius_edge_ratio, + max_cell_circumradius=max_cell_circumradius, + verbose=verbose, + reorient=reorient, + seed=seed, + ) + + mesh = meshio.read(outfile) + os.remove(off_file) + os.remove(outfile) + return mesh + + +def generate_from_inr( + inr_filename, + lloyd=False, + odt=False, + perturb=True, + exude=True, + max_edge_size_at_feature_edges=0.0, + min_facet_angle=0.0, + max_radius_surface_delaunay_ball=0.0, + max_facet_distance=0.0, + max_circumradius_edge_ratio=0.0, + max_cell_circumradius=0.0, + verbose=True, + seed=0, +): + fh, outfile = tempfile.mkstemp(suffix=".mesh") + os.close(fh) + + if isinstance(max_cell_circumradius, float): + _generate_from_inr( + inr_filename, + outfile, + lloyd=lloyd, + odt=odt, + perturb=perturb, + exude=exude, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + min_facet_angle=min_facet_angle, + max_radius_surface_delaunay_ball=max_radius_surface_delaunay_ball, + max_facet_distance=max_facet_distance, + max_circumradius_edge_ratio=max_circumradius_edge_ratio, + max_cell_circumradius=max_cell_circumradius, + verbose=verbose, + seed=seed, + ) + else: + assert isinstance(max_cell_circumradius, dict) + if "default" in max_cell_circumradius.keys(): + default_max_cell_circumradius = max_cell_circumradius.pop("default") + else: + default_max_cell_circumradius = 0.0 + + max_cell_circumradiuss = list(max_cell_circumradius.values()) + subdomain_labels = list(max_cell_circumradius.keys()) + + _generate_from_inr_with_subdomain_sizing( + inr_filename, + outfile, + default_max_cell_circumradius, + max_cell_circumradiuss, + subdomain_labels, + lloyd=lloyd, + odt=odt, + perturb=perturb, + exude=exude, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + min_facet_angle=min_facet_angle, + max_radius_surface_delaunay_ball=max_radius_surface_delaunay_ball, + max_facet_distance=max_facet_distance, + max_circumradius_edge_ratio=max_circumradius_edge_ratio, + verbose=verbose, + seed=seed, + ) + + mesh = meshio.read(outfile) + os.remove(outfile) + return mesh + + +def remesh_surface( + filename, + max_edge_size_at_feature_edges=0.0, + min_facet_angle=0.0, + max_radius_surface_delaunay_ball=0.0, + max_facet_distance=0.0, + verbose=True, + seed=0, +): + mesh = meshio.read(filename) + + fh, off_file = tempfile.mkstemp(suffix=".off") + os.close(fh) + meshio.write(off_file, mesh) + + fh, outfile = tempfile.mkstemp(suffix=".off") + os.close(fh) + + _remesh_surface( + off_file, + outfile, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + min_facet_angle=min_facet_angle, + max_radius_surface_delaunay_ball=max_radius_surface_delaunay_ball, + max_facet_distance=max_facet_distance, + verbose=verbose, + seed=seed, + ) + + mesh = meshio.read(outfile) + os.remove(off_file) + os.remove(outfile) + return mesh + + +def save_inr(vol, h, fname): + """ + Save a volume (described as a numpy array) to INR format. + Code inspired by iso2mesh (http://iso2mesh.sf.net) by Q. Fang + INPUTS: + - vol: volume as numpy array + - h: voxel sizes as list or numpy array + - fname: filename for saving the inr file + """ + fid = open(fname, "wb") + + btype, bitlen = { + "uint8": ("unsigned fixed", 8), + "uint16": ("unsigned fixed", 16), + "float32": ("float", 32), + "float64": ("float", 64), + }[vol.dtype.name] + + header = ( + "#INRIMAGE-4#{8:s}\nXDIM={0:d}\nYDIM={1:d}\nZDIM={2:d}\nVDIM=1\nTYPE={3:s}\n" + + "PIXSIZE={4:d} bits\nCPU=decm\nVX={5:f}\nVY={6:f}\nVZ={7:f}\n" + ).format(*vol.shape, btype, bitlen, h[0], h[1], h[2], "{") + + header = header + "\n" * (256 - 4 - len(header)) + "##}\n" + + fid.write(header.encode("ascii")) + fid.write(vol.tobytes(order="F")) + + +def generate_from_array( + vol, + h, + lloyd=False, + odt=False, + perturb=True, + exude=True, + max_edge_size_at_feature_edges=0.0, + min_facet_angle=0.0, + max_radius_surface_delaunay_ball=0.0, + max_cell_circumradius=0.0, + max_facet_distance=0.0, + max_circumradius_edge_ratio=0.0, + verbose=True, + seed=0, +): + assert vol.dtype in ["uint8", "uint16"] + fh, inr_filename = tempfile.mkstemp(suffix=".inr") + os.close(fh) + save_inr(vol, h, inr_filename) + mesh = generate_from_inr( + inr_filename, + lloyd, + odt, + perturb, + exude, + max_edge_size_at_feature_edges, + min_facet_angle, + max_radius_surface_delaunay_ball, + max_facet_distance, + max_circumradius_edge_ratio, + max_cell_circumradius, + verbose, + seed, + ) + os.remove(inr_filename) + return mesh diff --git a/pyproject.toml b/pyproject.toml new file mode 100644 index 0000000..8fe2f47 --- /dev/null +++ b/pyproject.toml @@ -0,0 +1,3 @@ +[build-system] +requires = ["setuptools>=42", "wheel"] +build-backend = "setuptools.build_meta" diff --git a/setup.cfg b/setup.cfg new file mode 100644 index 0000000..be3f277 --- /dev/null +++ b/setup.cfg @@ -0,0 +1,46 @@ +[metadata] +name = pygalmesh +version = 0.9.1 +url = https://github.com/nschloe/pygalmesh +author = Nico Schlömer +author_email = nico.schloemer@gmail.com +description = Python frontend to CGAL's mesh generation capabilities +long_description = file: README.md +long_description_content_type = text/markdown +license = GPL-3.0-or-later +license_files = LICENSE +classifiers = + Development Status :: 4 - Beta + License :: OSI Approved :: GNU General Public License v3 or later (GPLv3+) + Operating System :: OS Independent + Programming Language :: Python :: 3 + Programming Language :: Python :: 3.6 + Programming Language :: Python :: 3.7 + Programming Language :: Python :: 3.8 + Topic :: Scientific/Engineering + Topic :: Scientific/Engineering :: Mathematics + Topic :: Scientific/Engineering :: Physics + Topic :: Scientific/Engineering :: Visualization +keywords = + mathematics + physics + engineering + cgal + mesh + mesh generation + +[options] +packages = find: +setup_requires = pybind11 >= 2.5 +install_requires = + importlib_metadata;python_version<"3.8" + meshio >= 4.0.0, < 5.0.0 + numpy + pybind11 >= 2.5 +python_requires = >=3.6 + +[options.entry_points] +console_scripts = + pygalmesh-volume-from-surface = pygalmesh._cli:volume_from_surface + pygalmesh-remesh-surface = pygalmesh._cli:remesh_surface + pygalmesh-from-inr = pygalmesh._cli:inr diff --git a/setup.py b/setup.py new file mode 100644 index 0000000..86520a7 --- /dev/null +++ b/setup.py @@ -0,0 +1,126 @@ +import os +import sys + +import setuptools +from setuptools import Extension, setup +from setuptools.command.build_ext import build_ext + + +# +class get_pybind_include(object): + """Helper class to determine the pybind11 include path + The purpose of this class is to postpone importing pybind11 + until it is actually installed, so that the ``get_include()`` + method can be invoked.""" + + def __str__(self): + import pybind11 + + return pybind11.get_include() + + +# cf http://bugs.python.org/issue26689 +def has_flag(compiler, flagname): + """Return a boolean indicating whether a flag name is supported on + the specified compiler. + """ + import os + import tempfile + + with tempfile.NamedTemporaryFile("w", suffix=".cpp", delete=False) as f: + f.write("int main (int argc, char **argv) { return 0; }") + fname = f.name + try: + compiler.compile([fname], extra_postargs=[flagname]) + except setuptools.distutils.errors.CompileError: + return False + finally: + try: + os.remove(fname) + except OSError: + pass + return True + + +def cpp_flag(compiler): + """Return the -std=c++[11/14/17] compiler flag. + The newer version is prefered over c++11 (when it is available). + """ + flags = ["-std=c++17", "-std=c++14", "-std=c++11"] + + for flag in flags: + if has_flag(compiler, flag): + return flag + + raise RuntimeError("Unsupported compiler -- at least C++11 support " "is needed!") + + +class BuildExt(build_ext): + """A custom build extension for adding compiler-specific options.""" + + c_opts = { + "msvc": ["/EHsc"], + "unix": [], + } + l_opts = { + "msvc": [], + "unix": [], + } + + if sys.platform == "darwin": + darwin_opts = ["-stdlib=libc++", "-mmacosx-version-min=10.7"] + c_opts["unix"] += darwin_opts + l_opts["unix"] += darwin_opts + + def build_extensions(self): + ct = self.compiler.compiler_type + opts = self.c_opts.get(ct, []) + link_opts = self.l_opts.get(ct, []) + if ct == "unix": + opts.append(cpp_flag(self.compiler)) + if has_flag(self.compiler, "-fvisibility=hidden"): + opts.append("-fvisibility=hidden") + + for ext in self.extensions: + ext.define_macros = [ + ("VERSION_INFO", '"{}"'.format(self.distribution.get_version())) + ] + ext.extra_compile_args = opts + ext.extra_link_args = link_opts + build_ext.build_extensions(self) + + +ext_modules = [ + Extension( + "_pygalmesh", + # Sort input source files to ensure bit-for-bit reproducible builds + # (https://github.com/pybind/python_example/pull/53) + sorted( + [ + "src/generate.cpp", + "src/generate_2d.cpp", + "src/generate_from_inr.cpp", + "src/generate_from_off.cpp", + "src/generate_periodic.cpp", + "src/generate_surface_mesh.cpp", + "src/remesh_surface.cpp", + "src/pybind11.cpp", + ] + ), + include_dirs=[ + os.environ.get("EIGEN_INCLUDE_DIR", "/usr/include/eigen3/"), + # Path to pybind11 headers + get_pybind_include(), + ], + language="c++", + # no CGAL libraries necessary from CGAL 5.0 onwards + libraries=["gmp", "mpfr"], + ) +] + +if __name__ == "__main__": + setup( + cmdclass={"build_ext": BuildExt}, + ext_modules=ext_modules, + zip_safe=False, + ) diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt new file mode 100644 index 0000000..249ce40 --- /dev/null +++ b/src/CMakeLists.txt @@ -0,0 +1,27 @@ +FIND_PACKAGE(pybind11 REQUIRED) +# include_directories(${PYBIND11_INCLUDE_DIR}) + +FIND_PACKAGE(Eigen3 REQUIRED) +include_directories(${EIGEN3_INCLUDE_DIR}) + +FIND_PACKAGE(CGAL REQUIRED) +include(${CGAL_USE_FILE}) + +FILE(GLOB pygalmesh_SRCS "${CMAKE_CURRENT_SOURCE_DIR}/*.cpp") +# FILE(GLOB pygalmesh_HEADERS "${CMAKE_CURRENT_SOURCE_DIR}/*.hpp") + +pybind11_add_module(pygalmesh ${pygalmesh_SRCS}) + +# ADD_LIBRARY(pygalmesh ${pygalmesh_SRCS}) +target_link_libraries(pygalmesh PRIVATE ${CGAL_LIBRARIES}) + +# execute_process( +# COMMAND python -c "from distutils.sysconfig import get_python_lib; print get_python_lib()" +# OUTPUT_VARIABLE PYTHON_SITE_PACKAGES +# OUTPUT_STRIP_TRAILING_WHITESPACE +# ) +# install(TARGETS _pygalmesh DESTINATION ${PYTHON_SITE_PACKAGES}) +# install( +# FILES ${CMAKE_BINARY_DIR}/src/pygalmesh.py +# DESTINATION ${PYTHON_SITE_PACKAGES} +# ) diff --git a/src/domain.hpp b/src/domain.hpp new file mode 100644 index 0000000..ff8cd9c --- /dev/null +++ b/src/domain.hpp @@ -0,0 +1,490 @@ +#ifndef DOMAIN_HPP +#define DOMAIN_HPP + +#include +#include +#include +#include +#include + +namespace pygalmesh { + +class DomainBase +{ + public: + + virtual ~DomainBase() = default; + + virtual + double + eval(const std::array & x) const = 0; + + virtual + double + get_bounding_sphere_squared_radius() const = 0; + + virtual + std::vector>> + get_features() const + { + return {}; + }; +}; + +class Translate: public pygalmesh::DomainBase +{ + public: + Translate( + const std::shared_ptr & domain, + const std::array & direction + ): + domain_(domain), + direction_(Eigen::Vector3d(direction.data())), + translated_features_(translate_features(domain->get_features(), direction_)) + { + } + + virtual ~Translate() = default; + + std::vector>> + translate_features( + const std::vector>> & features, + const Eigen::Vector3d & direction + ) const + { + std::vector>> translated_features; + for (const auto & feature: features) { + std::vector> translated_feature; + for (const auto & point: feature) { + const std::array translated_point = { + point[0] + direction[0], + point[1] + direction[1], + point[2] + direction[2] + }; + translated_feature.push_back(translated_point); + } + translated_features.push_back(translated_feature); + } + return translated_features; + } + + virtual + double + eval(const std::array & x) const + { + const std::array d = { + x[0] - direction_[0], + x[1] - direction_[1], + x[2] - direction_[2] + }; + return domain_->eval(d); + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + const double radius = sqrt(domain_->get_bounding_sphere_squared_radius()); + const double dir_norm = direction_.norm(); + return (radius + dir_norm)*(radius + dir_norm); + } + + virtual + std::vector>> + get_features() const + { + return translated_features_; + }; + + private: + const std::shared_ptr domain_; + const Eigen::Vector3d direction_; + const std::vector>> translated_features_; +}; + +class Rotate: public pygalmesh::DomainBase +{ + public: + Rotate( + const std::shared_ptr & domain, + const std::array & axis, + const double angle + ): + domain_(domain), + normalized_axis_(Eigen::Vector3d(axis.data()).normalized()), + sinAngle_(sin(angle)), + cosAngle_(cos(angle)), + rotated_features_(rotate_features(domain_->get_features())) + { + } + + virtual ~Rotate() = default; + + Eigen::Vector3d + rotate( + const Eigen::Vector3d & vec, + const Eigen::Vector3d & axis, + const double sinAngle, + const double cosAngle + ) const + { + // Rotate a vector `v` by the angle `theta` in the plane perpendicular + // to the axis given by `u`. + // Refer to + // http://en.wikipedia.org/wiki/Rotation_matrix#Rotation_matrix_from_axis_and_angle + // + // cos(theta) * I * v + // + sin(theta) u\cross v + // + (1-cos(theta)) (u*u^T) * v + return cosAngle * vec + + sinAngle * axis.cross(vec) + + (1.0-cosAngle) * axis.dot(vec) * axis; + } + + virtual + double + eval(const std::array & x) const + { + // rotate with negative angle + const auto p2 = rotate( + Eigen::Vector3d(x.data()), + normalized_axis_, + -sinAngle_, + cosAngle_ + ); + return domain_->eval({p2[0], p2[1], p2[2]}); + } + + std::vector>> + rotate_features( + const std::vector>> & features + ) const + { + std::vector>> rotated_features; + for (const auto & feature: features) { + std::vector> rotated_feature; + for (const auto & point: feature) { + const auto p2 = rotate( + Eigen::Vector3d(point.data()), + normalized_axis_, + sinAngle_, + cosAngle_ + ); + rotated_feature.push_back({p2[0], p2[1], p2[2]}); + } + rotated_features.push_back(rotated_feature); + } + return rotated_features; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + return domain_->get_bounding_sphere_squared_radius(); + } + + virtual + std::vector>> + get_features() const + { + return rotated_features_; + }; + + private: + const std::shared_ptr domain_; + const Eigen::Vector3d normalized_axis_; + const double sinAngle_; + const double cosAngle_; + const std::vector>> rotated_features_; +}; + +class Scale: public pygalmesh::DomainBase +{ + public: + Scale( + std::shared_ptr & domain, + const double alpha + ): + domain_(domain), + alpha_(alpha), + scaled_features_(scale_features(domain_->get_features())) + { + assert(alpha_ > 0.0); + } + + virtual ~Scale() = default; + + virtual + double + eval(const std::array & x) const + { + return domain_->eval({x[0]/alpha_, x[1]/alpha_, x[2]/alpha_}); + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + return alpha_*alpha_ * domain_->get_bounding_sphere_squared_radius(); + } + + std::vector>> + scale_features( + const std::vector>> & features + ) const + { + std::vector>> scaled_features; + for (const auto & feature: features) { + std::vector> scaled_feature; + for (const auto & point: feature) { + scaled_feature.push_back({ + alpha_ * point[0], + alpha_ * point[1], + alpha_ * point[2] + }); + } + scaled_features.push_back(scaled_feature); + } + return scaled_features; + } + + virtual + std::vector>> + get_features() const + { + return scaled_features_; + }; + + private: + std::shared_ptr domain_; + const double alpha_; + const std::vector>> scaled_features_; +}; + +class Stretch: public pygalmesh::DomainBase +{ + public: + Stretch( + std::shared_ptr & domain, + const std::array & direction + ): + domain_(domain), + normalized_direction_(Eigen::Vector3d(direction.data()).normalized()), + alpha_(Eigen::Vector3d(direction.data()).norm()), + stretched_features_(stretch_features(domain_->get_features())) + { + assert(alpha_ > 0.0); + } + + virtual ~Stretch() = default; + + virtual + double + eval(const std::array & x) const + { + const Eigen::Vector3d v(x.data()); + const double beta = normalized_direction_.dot(v); + // scale the component of normalized_direction_ by 1/alpha_ + const auto v2 = beta/alpha_ * normalized_direction_ + + (v - beta * normalized_direction_); + return domain_->eval({v2[0], v2[1], v2[2]}); + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + return alpha_*alpha_ * domain_->get_bounding_sphere_squared_radius(); + } + + std::vector>> + stretch_features( + const std::vector>> & features + ) const + { + std::vector>> stretched_features; + for (const auto & feature: features) { + std::vector> stretched_feature; + for (const auto & point: feature) { + // scale the component of normalized_direction_ by alpha_ + const Eigen::Vector3d v(point.data()); + const double beta = normalized_direction_.dot(v); + const auto v2 = beta * alpha_ * normalized_direction_ + + (v - beta * normalized_direction_); + stretched_feature.push_back({v2[0], v2[1], v2[2]}); + } + stretched_features.push_back(stretched_feature); + } + return stretched_features; + } + + virtual + std::vector>> + get_features() const + { + return stretched_features_; + }; + + private: + std::shared_ptr domain_; + const Eigen::Vector3d normalized_direction_; + const double alpha_; + const std::vector>> stretched_features_; +}; + +class Intersection: public pygalmesh::DomainBase +{ + public: + explicit Intersection( + std::vector> & domains + ): + domains_(domains) + { + } + + virtual ~Intersection() = default; + + virtual + double + eval(const std::array & x) const + { + // TODO find a differentiable expression + double maxval = std::numeric_limits::lowest(); + for (const auto & domain: domains_) { + maxval = std::max(maxval, domain->eval(x)); + } + return maxval; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + double min = std::numeric_limits::max(); + for (const auto & domain: domains_) { + min = std::min(min, domain->get_bounding_sphere_squared_radius()); + } + return min; + } + + virtual + std::vector>> + get_features() const + { + std::vector>> features; + for (const auto & domain: domains_) { + const auto f = domain->get_features(); + features.insert(std::end(features), std::begin(f), std::end(f)); + } + return features; + }; + + private: + std::vector> domains_; +}; + +class Union: public pygalmesh::DomainBase +{ + public: + explicit Union( + std::vector> & domains + ): + domains_(domains) + { + } + + virtual ~Union() = default; + + virtual + double + eval(const std::array & x) const + { + // TODO find a differentiable expression + double minval = std::numeric_limits::max(); + for (const auto & domain: domains_) { + minval = std::min(minval, domain->eval(x)); + } + return minval; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + double max = 0.0; + for (const auto & domain: domains_) { + max = std::max(max, domain->get_bounding_sphere_squared_radius()); + } + return max; + } + + virtual + std::vector>> + get_features() const + { + std::vector>> features; + for (const auto & domain: domains_) { + const auto f = domain->get_features(); + features.insert(std::end(features), std::begin(f), std::end(f)); + } + return features; + }; + + private: + std::vector> domains_; +}; + +class Difference: public pygalmesh::DomainBase +{ + public: + Difference( + std::shared_ptr & domain0, + std::shared_ptr & domain1 + ): + domain0_(domain0), + domain1_(domain1) + { + } + + virtual ~Difference() = default; + + virtual + double + eval(const std::array & x) const + { + // TODO find a continuous (perhaps even differentiable) expression + const double val0 = domain0_->eval(x); + const double val1 = domain1_->eval(x); + return (val0 < 0.0 && val1 >= 0.0) ? val0 : std::max(val0, -val1); + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + return domain0_->get_bounding_sphere_squared_radius(); + } + + virtual + std::vector>> + get_features() const + { + std::vector>> features; + + const auto f0 = domain0_->get_features(); + features.insert(std::end(features), std::begin(f0), std::end(f0)); + + const auto f1 = domain1_->get_features(); + features.insert(std::end(features), std::begin(f1), std::end(f1)); + + return features; + }; + + private: + std::shared_ptr domain0_; + std::shared_ptr domain1_; +}; + +} // namespace pygalmesh +#endif // DOMAIN_HPP diff --git a/src/generate.cpp b/src/generate.cpp new file mode 100644 index 0000000..d4fef73 --- /dev/null +++ b/src/generate.cpp @@ -0,0 +1,183 @@ +#define CGAL_MESH_3_VERBOSE 1 + +#include "generate.hpp" + +#include + +#include +#include +#include + +#include +#include +#include + +namespace pygalmesh { + +typedef CGAL::Exact_predicates_inexact_constructions_kernel K; + +typedef CGAL::Mesh_domain_with_polyline_features_3> Mesh_domain; + +// Triangulation +typedef CGAL::Mesh_triangulation_3::type Tr; +typedef CGAL::Mesh_complex_3_in_triangulation_3 C3t3; + +// Mesh Criteria +typedef CGAL::Mesh_criteria_3 Mesh_criteria; +typedef Mesh_criteria::Edge_criteria Edge_criteria; +typedef Mesh_criteria::Facet_criteria Facet_criteria; +typedef Mesh_criteria::Cell_criteria Cell_criteria; + +// translate vector> to list> +std::list> +translate_feature_edges( + const std::vector>> & feature_edges + ) +{ + std::list> polylines; + for (const auto & feature_edge: feature_edges) { + std::vector polyline; + for (const auto & point: feature_edge) { + polyline.push_back(K::Point_3(point[0], point[1], point[2])); + } + polylines.push_back(polyline); + } + return polylines; +} + +void +generate_mesh( + const std::shared_ptr & domain, + const std::string & outfile, + const std::vector>> & extra_feature_edges, + const double bounding_sphere_radius, + const bool lloyd, + const bool odt, + const bool perturb, + const bool exude, + // + const double max_edge_size_at_feature_edges_value, + const std::shared_ptr & max_edge_size_at_feature_edges_field, + // + const double min_facet_angle, + // + const double max_radius_surface_delaunay_ball_value, + const std::shared_ptr & max_radius_surface_delaunay_ball_field, + // + const double max_facet_distance_value, + const std::shared_ptr & max_facet_distance_field, + // + const double max_circumradius_edge_ratio, + // + const double max_cell_circumradius_value, + const std::shared_ptr & max_cell_circumradius_field, + // + const bool verbose, + const int seed + ) +{ + CGAL::get_default_random() = CGAL::Random(seed); + + const double bounding_sphere_radius2 = bounding_sphere_radius > 0 ? + bounding_sphere_radius*bounding_sphere_radius : + // some wiggle room + 1.01 * domain->get_bounding_sphere_squared_radius(); + + // wrap domain + const auto d = [&](K::Point_3 p) { + return domain->eval({p.x(), p.y(), p.z()}); + }; + + Mesh_domain cgal_domain = Mesh_domain::create_implicit_mesh_domain( + d, + K::Sphere_3(CGAL::ORIGIN, bounding_sphere_radius2) + ); + + // cgal_domain.detect_features(); + + const auto native_features = translate_feature_edges(domain->get_features()); + cgal_domain.add_features(native_features.begin(), native_features.end()); + + const auto polylines = translate_feature_edges(extra_feature_edges); + cgal_domain.add_features(polylines.begin(), polylines.end()); + + // perhaps there's a more elegant solution here + // see + if (!verbose) { + // suppress output + std::cerr.setstate(std::ios_base::failbit); + } + + // Build the float/field values according to + // . + + // nested ternary operator + const auto facet_criteria = max_radius_surface_delaunay_ball_field ? ( + max_facet_distance_field ? + Facet_criteria( + min_facet_angle, + [&](K::Point_3 p, const int, const Mesh_domain::Index&) { + return max_radius_surface_delaunay_ball_field->eval({p.x(), p.y(), p.z()}); + }, + [&](K::Point_3 p, const int, const Mesh_domain::Index&) { + return max_facet_distance_field->eval({p.x(), p.y(), p.z()}); + } + ) : Facet_criteria( + min_facet_angle, + [&](K::Point_3 p, const int, const Mesh_domain::Index&) { + return max_radius_surface_delaunay_ball_field->eval({p.x(), p.y(), p.z()}); + }, + max_facet_distance_value + ) + ) : ( + max_facet_distance_field ? + Facet_criteria( + min_facet_angle, + max_radius_surface_delaunay_ball_value, + [&](K::Point_3 p, const int, const Mesh_domain::Index&) { + return max_facet_distance_field->eval({p.x(), p.y(), p.z()}); + } + ) : Facet_criteria( + min_facet_angle, + max_radius_surface_delaunay_ball_value, + max_facet_distance_value + ) + ); + + const auto edge_criteria = max_edge_size_at_feature_edges_field ? + Edge_criteria( + [&](K::Point_3 p, const int, const Mesh_domain::Index&) { + return max_edge_size_at_feature_edges_field->eval({p.x(), p.y(), p.z()}); + }) : Edge_criteria(max_edge_size_at_feature_edges_value); + + const auto cell_criteria = max_cell_circumradius_field ? + Cell_criteria( + max_circumradius_edge_ratio, + [&](K::Point_3 p, const int, const Mesh_domain::Index&) { + return max_cell_circumradius_field->eval({p.x(), p.y(), p.z()}); + }) : Cell_criteria(max_circumradius_edge_ratio, max_cell_circumradius_value); + + const auto criteria = Mesh_criteria(edge_criteria, facet_criteria, cell_criteria); + + // Mesh generation + C3t3 c3t3 = CGAL::make_mesh_3( + cgal_domain, + criteria, + lloyd ? CGAL::parameters::lloyd() : CGAL::parameters::no_lloyd(), + odt ? CGAL::parameters::odt() : CGAL::parameters::no_odt(), + perturb ? CGAL::parameters::perturb() : CGAL::parameters::no_perturb(), + exude ? CGAL::parameters::exude() : CGAL::parameters::no_exude() + ); + if (!verbose) { + std::cerr.clear(); + } + + // Output + std::ofstream medit_file(outfile); + c3t3.output_to_medit(medit_file); + medit_file.close(); + + return; +} + +} // namespace pygalmesh diff --git a/src/generate.hpp b/src/generate.hpp new file mode 100644 index 0000000..f1d42e4 --- /dev/null +++ b/src/generate.hpp @@ -0,0 +1,46 @@ +#ifndef GENERATE_HPP +#define GENERATE_HPP + +#include "domain.hpp" +#include "sizing_field.hpp" + +#include +#include +#include +#include + +namespace pygalmesh { + +void generate_mesh( + const std::shared_ptr & domain, + const std::string & outfile, + const std::vector>> & extra_feature_edges = {}, + const double bounding_sphere_radius = 0.0, + const bool lloyd = false, + const bool odt = false, + const bool perturb = true, + const bool exude = true, + // + const double max_edge_size_at_feature_edges_value = 0.0, // std::numeric_limits::max(), + const std::shared_ptr & max_edge_size_at_feature_edges_field = nullptr, + // + const double min_facet_angle = 0.0, + // + const double max_radius_surface_delaunay_ball_value = 0.0, + const std::shared_ptr & max_radius_surface_delaunay_ball_field = nullptr, + // + const double max_facet_distance_value = 0.0, + const std::shared_ptr & max_facet_distance_field = nullptr, + // + const double max_circumradius_edge_ratio = 0.0, + // + const double max_cell_circumradius_value = 0.0, + const std::shared_ptr & max_cell_circumradius_field = nullptr, + // + const bool verbose = true, + const int seed = 0 + ); + +} // namespace pygalmesh + +#endif // GENERATE_HPP diff --git a/src/generate_2d.cpp b/src/generate_2d.cpp new file mode 100644 index 0000000..5b573ce --- /dev/null +++ b/src/generate_2d.cpp @@ -0,0 +1,96 @@ +#define CGAL_MESH_3_VERBOSE 1 + +#include "generate_2d.hpp" + +#include +#include +#include +#include +#include +#include +#include + +namespace pygalmesh { + +typedef CGAL::Exact_predicates_inexact_constructions_kernel K; +typedef CGAL::Delaunay_mesh_vertex_base_2 Vb; +typedef CGAL::Delaunay_mesh_face_base_2 Fb; +typedef CGAL::Triangulation_data_structure_2 Tds; +typedef CGAL::Constrained_Delaunay_triangulation_2 CDT; +typedef CGAL::Delaunay_mesh_size_criteria_2 Criteria; +typedef CDT::Vertex_handle Vertex_handle; +typedef CDT::Point Point; + +std::tuple>, std::vector>> +generate_2d( + const std::vector> & points, + const std::vector> & constraints, + // See + // https://doc.cgal.org/latest/Mesh_2/classCGAL_1_1Delaunay__mesh__size__criteria__2.html#a58b0186eae407ba76b8f4a3d0aa85a1a + // for what the bounds mean. Spoiler: + // B = circumradius / shortest_edge, + // relates to the smallest angle via sin(alpha_min) = 1 / (2B) + // edge_size S: "all segments of all triangles must be shorter than a bound S." + const double max_circumradius_shortest_edge_ratio, + const double max_edge_size, + const int num_lloyd_steps +) +{ + CDT cdt; + // construct a constrained triangulation + std::vector vertices(points.size()); + int k = 0; + for (auto pt: points) { + vertices[k] = cdt.insert(Point(pt[0], pt[1])); + k++; + } + for (auto c: constraints) { + cdt.insert_constraint(vertices[c[0]], vertices[c[1]]); + } + + // create proper mesh + CGAL::refine_Delaunay_mesh_2( + cdt, + Criteria( + 0.25 / (max_circumradius_shortest_edge_ratio * max_circumradius_shortest_edge_ratio), + max_edge_size + ) + ); + + if (num_lloyd_steps > 0) { + CGAL::lloyd_optimize_mesh_2( + cdt, + CGAL::parameters::max_iteration_number = num_lloyd_steps + ); + } + + // convert points to vector of arrays + std::map vertex_index; + std::vector> out_points(cdt.number_of_vertices()); + k = 0; + for (auto vit: cdt.finite_vertex_handles()) { + out_points[k][0] = vit->point()[0]; + out_points[k][1] = vit->point()[1]; + vertex_index[vit] = k; + k++; + } + + // https://github.com/CGAL/cgal/issues/5068#issuecomment-706213606 + auto nb_faces = 0u; + for (auto fit: cdt.finite_face_handles()) { + if(fit->is_in_domain()) ++nb_faces; + } + std::vector> out_cells(nb_faces); + k = 0; + for (auto fit: cdt.finite_face_handles()) { + if(!fit->is_in_domain()) continue; + out_cells[k][0] = vertex_index[fit->vertex(0)]; + out_cells[k][1] = vertex_index[fit->vertex(1)]; + out_cells[k][2] = vertex_index[fit->vertex(2)]; + k++; + } + + return std::make_tuple(out_points, out_cells); +} + +} // namespace pygalmesh diff --git a/src/generate_2d.hpp b/src/generate_2d.hpp new file mode 100644 index 0000000..9b55073 --- /dev/null +++ b/src/generate_2d.hpp @@ -0,0 +1,25 @@ +#ifndef GENERATE_2D_HPP +#define GENERATE_2D_HPP + +#include +#include +#include + +namespace pygalmesh { + +std::tuple>, std::vector>> +generate_2d( + const std::vector> & points, + const std::vector> & constraints, + const double max_circumradius_shortest_edge_ratio, + // https://github.com/CGAL/cgal/issues/5061#issuecomment-705520984 + // the "default" size criterion for a triangle in the 2D mesh generator refers to its + // edge lengths. In the output mesh, all segments of all triangles must be shorter + // than the given bound. + const double max_edge_size, + const int num_lloyd_steps +); + +} // namespace pygalmesh + +#endif // GENERATE_2D_HPP diff --git a/src/generate_from_inr.cpp b/src/generate_from_inr.cpp new file mode 100644 index 0000000..830f33f --- /dev/null +++ b/src/generate_from_inr.cpp @@ -0,0 +1,164 @@ +#define CGAL_MESH_3_VERBOSE 1 + +#include "generate_from_inr.hpp" + +#include + +#include +#include + +#include +#include +#include + +#include +#include +#include + +namespace pygalmesh { + +typedef CGAL::Exact_predicates_inexact_constructions_kernel K; + +typedef CGAL::Labeled_mesh_domain_3 Mesh_domain; + +// Triangulation +typedef CGAL::Mesh_triangulation_3::type Tr; +typedef CGAL::Mesh_complex_3_in_triangulation_3 C3t3; + +// Mesh Criteria +typedef CGAL::Mesh_criteria_3 Mesh_criteria; +typedef Mesh_criteria::Facet_criteria Facet_criteria; +typedef Mesh_criteria::Cell_criteria Cell_criteria; + +typedef CGAL::Mesh_constant_domain_field_3 Sizing_field_cell; + +void +generate_from_inr( + const std::string & inr_filename, + const std::string & outfile, + const bool lloyd, + const bool odt, + const bool perturb, + const bool exude, + const double max_edge_size_at_feature_edges, + const double min_facet_angle, + const double max_radius_surface_delaunay_ball, + const double max_facet_distance, + const double max_circumradius_edge_ratio, + const double max_cell_circumradius, + const bool verbose, + const int seed + ) +{ + CGAL::get_default_random() = CGAL::Random(seed); + + CGAL::Image_3 image; + const bool success = image.read(inr_filename.c_str()); + if (!success) { + throw "Could not read image file"; + } + Mesh_domain cgal_domain = Mesh_domain::create_labeled_image_mesh_domain(image); + + Mesh_criteria criteria( + CGAL::parameters::edge_size=max_edge_size_at_feature_edges, + CGAL::parameters::facet_angle=min_facet_angle, + CGAL::parameters::facet_size=max_radius_surface_delaunay_ball, + CGAL::parameters::facet_distance=max_facet_distance, + CGAL::parameters::cell_radius_edge_ratio=max_circumradius_edge_ratio, + CGAL::parameters::cell_size=max_cell_circumradius + ); + + // Mesh generation + if (!verbose) { + // suppress output + std::cerr.setstate(std::ios_base::failbit); + } + C3t3 c3t3 = CGAL::make_mesh_3( + cgal_domain, + criteria, + lloyd ? CGAL::parameters::lloyd() : CGAL::parameters::no_lloyd(), + odt ? CGAL::parameters::odt() : CGAL::parameters::no_odt(), + perturb ? CGAL::parameters::perturb() : CGAL::parameters::no_perturb(), + exude ? CGAL::parameters::exude() : CGAL::parameters::no_exude() + ); + if (!verbose) { + std::cerr.clear(); + } + + // Output + std::ofstream medit_file(outfile); + c3t3.output_to_medit(medit_file); + medit_file.close(); + return; +} + + +void +generate_from_inr_with_subdomain_sizing( + const std::string & inr_filename, + const std::string & outfile, + const double default_max_cell_circumradius, + const std::vector & max_cell_circumradiuss, + const std::vector & cell_labels, + const bool lloyd, + const bool odt, + const bool perturb, + const bool exude, + const double max_edge_size_at_feature_edges, + const double min_facet_angle, + const double max_radius_surface_delaunay_ball, + const double max_facet_distance, + const double max_circumradius_edge_ratio, + const bool verbose, + const int seed + ) +{ + CGAL::get_default_random() = CGAL::Random(seed); + + CGAL::Image_3 image; + const bool success = image.read(inr_filename.c_str()); + if (!success) { + throw "Could not read image file"; + } + Mesh_domain cgal_domain = Mesh_domain::create_labeled_image_mesh_domain(image); + + Sizing_field_cell max_cell_circumradius(default_max_cell_circumradius); + const int ndimensions = 3; + for(std::vector::size_type i(0); i < max_cell_circumradiuss.size(); ++i) + max_cell_circumradius.set_size(max_cell_circumradiuss[i], ndimensions, cgal_domain.index_from_subdomain_index(cell_labels[i])); + + Mesh_criteria criteria( + CGAL::parameters::edge_size=max_edge_size_at_feature_edges, + CGAL::parameters::facet_angle=min_facet_angle, + CGAL::parameters::facet_size=max_radius_surface_delaunay_ball, + CGAL::parameters::facet_distance=max_facet_distance, + CGAL::parameters::cell_radius_edge_ratio=max_circumradius_edge_ratio, + CGAL::parameters::cell_size=max_cell_circumradius + ); + + // Mesh generation + if (!verbose) { + // suppress output + std::cerr.setstate(std::ios_base::failbit); + } + C3t3 c3t3 = CGAL::make_mesh_3( + cgal_domain, + criteria, + lloyd ? CGAL::parameters::lloyd() : CGAL::parameters::no_lloyd(), + odt ? CGAL::parameters::odt() : CGAL::parameters::no_odt(), + perturb ? CGAL::parameters::perturb() : CGAL::parameters::no_perturb(), + exude ? CGAL::parameters::exude() : CGAL::parameters::no_exude() + ); + if (!verbose) { + std::cerr.clear(); + } + + // Output + std::ofstream medit_file(outfile); + c3t3.output_to_medit(medit_file); + medit_file.close(); + return; +} + +} // namespace pygalmesh diff --git a/src/generate_from_inr.hpp b/src/generate_from_inr.hpp new file mode 100644 index 0000000..ddd60c7 --- /dev/null +++ b/src/generate_from_inr.hpp @@ -0,0 +1,48 @@ +#ifndef GENERATE_FROM_INR_HPP +#define GENERATE_FROM_INR_HPP + +#include +#include + +namespace pygalmesh { + +void generate_from_inr( + const std::string & inr_filename, + const std::string & outfile, + const bool lloyd = false, + const bool odt = false, + const bool perturb = true, + const bool exude = true, + const double max_edge_size_at_feature_edges = 0.0, // std::numeric_limits::max(), + const double min_facet_angle = 0.0, + const double max_radius_surface_delaunay_ball = 0.0, + const double max_facet_distance = 0.0, + const double max_circumradius_edge_ratio = 0.0, + const double max_cell_circumradius = 0.0, + const bool verbose = true, + const int seed = 0 + ); + +void +generate_from_inr_with_subdomain_sizing( + const std::string & inr_filename, + const std::string & outfile, + const double default_max_cell_circumradius, + const std::vector & max_cell_circumradiuss, + const std::vector & cell_labels, + const bool lloyd = false, + const bool odt = false, + const bool perturb = true, + const bool exude = true, + const double max_edge_size_at_feature_edges = 0.0, + const double min_facet_angle = 0.0, + const double max_radius_surface_delaunay_ball = 0.0, + const double max_facet_distance = 0.0, + const double max_circumradius_edge_ratio = 0.0, + const bool verbose = true, + const int seed = 0 + ); + +} // namespace pygalmesh + +#endif // GENERATE_FROM_INR_HPP diff --git a/src/generate_from_off.cpp b/src/generate_from_off.cpp new file mode 100644 index 0000000..2696075 --- /dev/null +++ b/src/generate_from_off.cpp @@ -0,0 +1,138 @@ +#include "generate_from_off.hpp" + +#include +#include +#include +#include +#include +#include +#include + +// IO +#include + +// for re-orientation +#include +#include +#include +#include + +// for sharp features +//#include + +namespace pygalmesh { + +// Domain +typedef CGAL::Exact_predicates_inexact_constructions_kernel K; +typedef CGAL::Polyhedron_3 Polyhedron; +typedef CGAL::Polyhedral_mesh_domain_3 Mesh_domain; +// for sharp features +//typedef CGAL::Polyhedral_mesh_domain_with_features_3 Mesh_domain; +//typedef CGAL::Mesh_polyhedron_3::type Polyhedron; + +// Triangulation +typedef CGAL::Mesh_triangulation_3::type Tr; + +typedef CGAL::Mesh_complex_3_in_triangulation_3 C3t3; + +// Criteria +typedef CGAL::Mesh_criteria_3 Mesh_criteria; + +// To avoid verbose function and named parameters call +using namespace CGAL::parameters; + +void generate_from_off( + const std::string& infile, + const std::string& outfile, + const bool lloyd, + const bool odt, + const bool perturb, + const bool exude, + const double max_edge_size_at_feature_edges, + const double min_facet_angle, + const double max_radius_surface_delaunay_ball, + const double max_facet_distance, + const double max_circumradius_edge_ratio, + const double max_cell_circumradius, + const bool verbose, + const bool reorient, + const int seed +) { + CGAL::get_default_random() = CGAL::Random(seed); + + std::ifstream input(infile); + Polyhedron polyhedron; + // fix the orientation of the faces of the input file + if (reorient) { + std::stringstream msg; + msg << "fixing face orientation for \"" << infile <<"\""<< std::endl; + std::vector points; + std::vector > polygons; + + if(!input || !CGAL::read_OFF(input, points, polygons) || points.empty()) + { + std::stringstream msg; + msg << "Cannot read .off file \"" << infile <<"\""<< std::endl; + throw std::runtime_error(msg.str()); + } + // orient the polygons + CGAL::Polygon_mesh_processing::orient_polygon_soup(points, polygons); + // create the polyhedron + CGAL::Polygon_mesh_processing::polygon_soup_to_polygon_mesh(points, polygons, polyhedron); + + } else { + + // Create input polyhedron + input >> polyhedron; + if (!input.good()) { + // Even if the mesh exists, it may not be valid, see + // + std::stringstream msg; + msg << "Invalid input file \"" << infile << "\"" << std::endl; + msg << "If this is due to wrong face orientation, retry with the option --reorient \"" << std::endl; + throw std::runtime_error(msg.str()); + } + } + + input.close(); + + // Create domain + Mesh_domain cgal_domain(polyhedron); + + // Get sharp features + // cgal_domain.detect_features(); + + + // Mesh criteria + Mesh_criteria criteria( + CGAL::parameters::edge_size = max_edge_size_at_feature_edges, + CGAL::parameters::facet_angle = min_facet_angle, + CGAL::parameters::facet_size = max_radius_surface_delaunay_ball, + CGAL::parameters::facet_distance = max_facet_distance, + CGAL::parameters::cell_radius_edge_ratio = max_circumradius_edge_ratio, + CGAL::parameters::cell_size = max_cell_circumradius); + + // Mesh generation + if (!verbose) { + // suppress output + std::cerr.setstate(std::ios_base::failbit); + } + C3t3 c3t3 = CGAL::make_mesh_3( + cgal_domain, criteria, + lloyd ? CGAL::parameters::lloyd() : CGAL::parameters::no_lloyd(), + odt ? CGAL::parameters::odt() : CGAL::parameters::no_odt(), + perturb ? CGAL::parameters::perturb() : CGAL::parameters::no_perturb(), + exude ? CGAL::parameters::exude() : CGAL::parameters::no_exude()); + if (!verbose) { + std::cerr.clear(); + } + + // Output + std::ofstream medit_file(outfile); + c3t3.output_to_medit(medit_file); + medit_file.close(); + + return; +} + +} // namespace pygalmesh diff --git a/src/generate_from_off.hpp b/src/generate_from_off.hpp new file mode 100644 index 0000000..f3e5a21 --- /dev/null +++ b/src/generate_from_off.hpp @@ -0,0 +1,30 @@ +#ifndef GENERATE_FROM_OFF_HPP +#define GENERATE_FROM_OFF_HPP + +#include +#include + +namespace pygalmesh { + +void +generate_from_off( + const std::string & infile, + const std::string & outfile, + const bool lloyd = false, + const bool odt = false, + const bool perturb = true, + const bool exude = true, + const double max_edge_size_at_feature_edges = 0.0, // std::numeric_limits::max(), + const double min_facet_angle = 0.0, + const double max_radius_surface_delaunay_ball = 0.0, + const double max_facet_distance = 0.0, + const double max_circumradius_edge_ratio = 0.0, + const double max_cell_circumradius = 0.0, + const bool verbose = true, + const bool reorient = false, + const int seed = 0 + ); + +} // namespace pygalmesh + +#endif // GENERATE_FROM_OFF_HPP diff --git a/src/generate_periodic.cpp b/src/generate_periodic.cpp new file mode 100644 index 0000000..2a4e8ce --- /dev/null +++ b/src/generate_periodic.cpp @@ -0,0 +1,123 @@ +#define CGAL_MESH_3_VERBOSE 1 + +#include "generate_periodic.hpp" + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include // CGAL_PI +#include +#include +#include + + +namespace pygalmesh { + +typedef CGAL::Exact_predicates_inexact_constructions_kernel K; + +typedef CGAL::Labeled_mesh_domain_3 Periodic_mesh_domain; + +// Triangulation +typedef CGAL::Periodic_3_mesh_triangulation_3::type Tr; +typedef CGAL::Mesh_complex_3_in_triangulation_3 C3t3; + +// Mesh Criteria +typedef CGAL::Mesh_criteria_3 Mesh_criteria; +typedef Mesh_criteria::Facet_criteria Facet_criteria; +typedef Mesh_criteria::Cell_criteria Cell_criteria; + + +typedef CGAL::Exact_predicates_inexact_constructions_kernel K; +typedef K::FT FT; +typedef K::Point_3 Point; +typedef K::Iso_cuboid_3 Iso_cuboid; +// Domain +typedef FT (Function)(const Point&); +typedef CGAL::Labeled_mesh_domain_3 Periodic_mesh_domain; +// Triangulation +typedef CGAL::Periodic_3_mesh_triangulation_3::type Tr; +typedef CGAL::Mesh_complex_3_in_triangulation_3 C3t3; +// Criteria +typedef CGAL::Mesh_criteria_3 Periodic_mesh_criteria; +// To avoid verbose function and named parameters call +using namespace CGAL::parameters; + +void +generate_periodic_mesh( + const std::shared_ptr & domain, + const std::string & outfile, + const std::array bounding_cuboid, + const bool lloyd, + const bool odt, + const bool perturb, + const bool exude, + const double max_edge_size_at_feature_edges, + const double min_facet_angle, + const double max_radius_surface_delaunay_ball, + const double max_facet_distance, + const double max_circumradius_edge_ratio, + const double max_cell_circumradius, + const int number_of_copies_in_output, + const bool verbose, + const int seed + ) +{ + CGAL::get_default_random() = CGAL::Random(seed); + + K::Iso_cuboid_3 cuboid( + bounding_cuboid[0], + bounding_cuboid[1], + bounding_cuboid[2], + bounding_cuboid[3], + bounding_cuboid[4], + bounding_cuboid[5] + ); + + // wrap domain + const auto d = [&](K::Point_3 p) { + return domain->eval({p.x(), p.y(), p.z()}); + }; + Periodic_mesh_domain cgal_domain = + Periodic_mesh_domain::create_implicit_mesh_domain(d, cuboid); + + Mesh_criteria criteria( + CGAL::parameters::edge_size=max_edge_size_at_feature_edges, + CGAL::parameters::facet_angle=min_facet_angle, + CGAL::parameters::facet_size=max_radius_surface_delaunay_ball, + CGAL::parameters::facet_distance=max_facet_distance, + CGAL::parameters::cell_radius_edge_ratio=max_circumradius_edge_ratio, + CGAL::parameters::cell_size=max_cell_circumradius + ); + + // Mesh generation + if (!verbose) { + // suppress output + std::cerr.setstate(std::ios_base::failbit); + } + C3t3 c3t3 = CGAL::make_periodic_3_mesh_3( + cgal_domain, + criteria, + lloyd ? CGAL::parameters::lloyd() : CGAL::parameters::no_lloyd(), + odt ? CGAL::parameters::odt() : CGAL::parameters::no_odt(), + perturb ? CGAL::parameters::perturb() : CGAL::parameters::no_perturb(), + exude ? CGAL::parameters::exude() : CGAL::parameters::no_exude() + ); + if (!verbose) { + std::cerr.clear(); + } + + // Output + std::ofstream medit_file(outfile); + CGAL::output_periodic_mesh_to_medit(medit_file, c3t3, number_of_copies_in_output); + medit_file.close(); + + return; +} + +} // namespace pygalmesh diff --git a/src/generate_periodic.hpp b/src/generate_periodic.hpp new file mode 100644 index 0000000..25ad5ca --- /dev/null +++ b/src/generate_periodic.hpp @@ -0,0 +1,33 @@ +#ifndef GENERATE_PERIODIC_HPP +#define GENERATE_PERIODIC_HPP + +#include "domain.hpp" + +#include +#include +#include + +namespace pygalmesh { + +void generate_periodic_mesh( + const std::shared_ptr & domain, + const std::string & outfile, + const std::array bounding_cuboid, + const bool lloyd = false, + const bool odt = false, + const bool perturb = true, + const bool exude = true, + const double max_edge_size_at_feature_edges = 0.0, // std::numeric_limits::max(), + const double min_facet_angle = 0.0, + const double max_radius_surface_delaunay_ball = 0.0, + const double max_facet_distance = 0.0, + const double max_circumradius_edge_ratio = 0.0, + const double max_cell_circumradius = 0.0, + const int number_of_copies_in_output = 1, + const bool verbose = true, + const int seed = 0 + ); + +} // namespace pygalmesh + +#endif // GENERATE_PERIODIC_HPP diff --git a/src/generate_surface_mesh.cpp b/src/generate_surface_mesh.cpp new file mode 100644 index 0000000..4d3f367 --- /dev/null +++ b/src/generate_surface_mesh.cpp @@ -0,0 +1,102 @@ +#define CGAL_SURFACE_MESHER_VERBOSE 1 + +#include "generate_surface_mesh.hpp" + +#include +#include +#include +#include +#include +#include + +namespace pygalmesh { + +// default triangulation for Surface_mesher +typedef CGAL::Surface_mesh_default_triangulation_3 Tr; +// c2t3 +typedef CGAL::Complex_2_in_triangulation_3 C2t3; +typedef Tr::Geom_traits GT; + +// Wrapper for DomainBase for translating to GT. +class CgalDomainWrapper +{ + public: + explicit CgalDomainWrapper(const std::shared_ptr & domain): + domain_(domain) + { + } + + virtual ~CgalDomainWrapper() = default; + + virtual + GT::FT + operator()(GT::Point_3 p) const + { + return domain_->eval({p.x(), p.y(), p.z()}); + } + + private: + const std::shared_ptr domain_; +}; + +typedef CGAL::Implicit_surface_3 Surface_3; + +void +generate_surface_mesh( + const std::shared_ptr & domain, + const std::string & outfile, + const double bounding_sphere_radius, + const double min_facet_angle, + const double max_radius_surface_delaunay_ball, + const double max_facet_distance, + const bool verbose, + const int seed + ) +{ + CGAL::get_default_random() = CGAL::Random(seed); + + const double bounding_sphere_radius2 = bounding_sphere_radius > 0 ? + bounding_sphere_radius*bounding_sphere_radius : + // add a little wiggle room + 1.01 * domain->get_bounding_sphere_squared_radius(); + + Tr tr; // 3D-Delaunay triangulation + C2t3 c2t3 (tr); // 2D-complex in 3D-Delaunay triangulation + + const auto d = CgalDomainWrapper(domain); + Surface_3 surface( + d, + GT::Sphere_3(CGAL::ORIGIN, bounding_sphere_radius2) + ); + + CGAL::Surface_mesh_default_criteria_3 criteria( + min_facet_angle, + max_radius_surface_delaunay_ball, + max_facet_distance + ); + + if (!verbose) { + // suppress output + std::cout.setstate(std::ios_base::failbit); + std::cerr.setstate(std::ios_base::failbit); + } + CGAL::make_surface_mesh( + c2t3, + surface, + criteria, + CGAL::Non_manifold_tag() + ); + if (!verbose) { + std::cout.clear(); + std::cerr.clear(); + } + + // Output + std::ofstream off_file(outfile); + CGAL::output_surface_facets_to_off(off_file, c2t3); + off_file.close(); + + return; +} + +} // namespace pygalmesh diff --git a/src/generate_surface_mesh.hpp b/src/generate_surface_mesh.hpp new file mode 100644 index 0000000..df88da4 --- /dev/null +++ b/src/generate_surface_mesh.hpp @@ -0,0 +1,24 @@ +#ifndef GENERATE_SURFACE_MESH_HPP +#define GENERATE_SURFACE_MESH_HPP + +#include "domain.hpp" + +#include +#include + +namespace pygalmesh { + +void generate_surface_mesh( + const std::shared_ptr & domain, + const std::string & outfile, + const double bounding_sphere_radius = 0.0, + const double min_facet_angle = 0.0, + const double max_radius_surface_delaunay_ball = 0.0, + const double max_facet_distance = 0.0, + const bool verbose = true, + const int seed = 0 + ); + +} // namespace pygalmesh + +#endif // GENERATE_SURFACE_MESH_HPP diff --git a/src/polygon2d.hpp b/src/polygon2d.hpp new file mode 100644 index 0000000..40144b1 --- /dev/null +++ b/src/polygon2d.hpp @@ -0,0 +1,308 @@ +#ifndef POLYGON2D_HPP +#define POLYGON2D_HPP + +#include "domain.hpp" + +#include +#include +#include +#include +#include + +typedef CGAL::Exact_predicates_inexact_constructions_kernel K; + +namespace pygalmesh { + +class Polygon2D { + public: + explicit Polygon2D(const std::vector> & _points): + points(vector_to_cgal_points(_points)) + { + } + + virtual ~Polygon2D() = default; + + std::vector + vector_to_cgal_points(const std::vector> & _points) const + { + std::vector points2(_points.size()); + for (size_t i = 0; i < _points.size(); i++) { + assert(_points[i].size() == 2); + points2[i] = K::Point_2(_points[i][0], _points[i][1]); + } + return points2; + } + + bool + is_inside(const std::array & point) + { + K::Point_2 pt(point[0], point[1]); + switch(CGAL::bounded_side_2(this->points.begin(), this->points.end(), pt, K())) { + case CGAL::ON_BOUNDED_SIDE: + return true; + case CGAL::ON_BOUNDARY: + return true; + case CGAL::ON_UNBOUNDED_SIDE: + return false; + default: + return false; + } + return false; + } + + public: + const std::vector points; +}; + + +class Extrude: public pygalmesh::DomainBase { + public: + Extrude( + const std::shared_ptr & poly, + const std::array & direction, + const double alpha = 0.0, + const double max_edge_size_at_feature_edges = 0.0 + ): + poly_(poly), + direction_(direction), + alpha_(alpha), + max_edge_size_at_feature_edges_(max_edge_size_at_feature_edges) + { + } + + virtual ~Extrude() = default; + + virtual + double + eval(const std::array & x) const + { + if (x[2] < 0.0 || x[2] > direction_[2]) { + return 1.0; + } + + const double beta = x[2] / direction_[2]; + + std::array x2 = { + x[0] - beta * direction_[0], + x[1] - beta * direction_[1] + }; + + if (alpha_ != 0.0) { + std::array x3; + // turn by -beta*alpha + const double sinAlpha = sin(beta*alpha_); + const double cosAlpha = cos(beta*alpha_); + x3[0] = cosAlpha * x2[0] + sinAlpha * x2[1]; + x3[1] = -sinAlpha * x2[0] + cosAlpha * x2[1]; + x2 = x3; + } + + return poly_->is_inside(x2) ? -1.0 : 1.0; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + double max = 0.0; + for (const auto & pt: poly_->points) { + // bottom polygon + const double nrm0 = pt.x()*pt.x() + pt.y()*pt.y(); + if (nrm0 > max) { + max = nrm0; + } + + // TODO rotation + + // top polygon + const double x = pt.x() + direction_[0]; + const double y = pt.y() + direction_[1]; + const double z = direction_[2]; + const double nrm1 = x*x + y*y + z*z; + if (nrm1 > max) { + max = nrm1; + } + } + return max; + } + + virtual + std::vector>> + get_features() const + { + std::vector>> features = {}; + + size_t n; + + // bottom polygon + n = poly_->points.size(); + for (size_t i=0; i < n-1; i++) { + features.push_back({ + {poly_->points[i].x(), poly_->points[i].y(), 0.0}, + {poly_->points[i+1].x(), poly_->points[i+1].y(), 0.0} + }); + } + features.push_back({ + {poly_->points[n-1].x(), poly_->points[n-1].y(), 0.0}, + {poly_->points[0].x(), poly_->points[0].y(), 0.0} + }); + + // top polygon, R*x + d + n = poly_->points.size(); + const double sinAlpha = sin(alpha_); + const double cosAlpha = cos(alpha_); + for (size_t i=0; i < n-1; i++) { + features.push_back({ + { + cosAlpha * poly_->points[i].x() - sinAlpha * poly_->points[i].y() + direction_[0], + sinAlpha * poly_->points[i].x() + cosAlpha * poly_->points[i].y() + direction_[1], + direction_[2] + }, + { + cosAlpha * poly_->points[i+1].x() - sinAlpha * poly_->points[i+1].y() + direction_[0], + sinAlpha * poly_->points[i+1].x() + cosAlpha * poly_->points[i+1].y() + direction_[1], + direction_[2] + } + }); + } + features.push_back({ + { + cosAlpha * poly_->points[n-1].x() - sinAlpha * poly_->points[n-1].y() + direction_[0], + sinAlpha * poly_->points[n-1].x() + cosAlpha * poly_->points[n-1].y() + direction_[1], + direction_[2] + }, + { + cosAlpha * poly_->points[0].x() - sinAlpha * poly_->points[0].y() + direction_[0], + sinAlpha * poly_->points[0].x() + cosAlpha * poly_->points[0].y() + direction_[1], + direction_[2] + } + }); + + // features connecting the top and bottom + if (alpha_ == 0) { + for (const auto & pt: poly_->points) { + std::vector> line = { + {pt.x(), pt.y(), 0.0}, + {pt.x() + direction_[0], pt.y() + direction_[1], direction_[2]} + }; + features.push_back(line); + } + } else { + // Alright, we need to chop the lines on which the polygon corners are + // sitting into pieces. How long? About max_edge_size_at_feature_edges. For the starting point + // (x0, y0, z0) height h and angle alpha, the lines are given by + // + // f(beta) = ( + // cos(alpha*beta) x0 - sin(alpha*beta) y0, + // sin(alpha*beta) x0 + cos(alpha*beta) y0, + // z0 + beta * h + // ) + // + // with beta in [0, 1]. The length from beta0 till beta1 is then + // + // l = sqrt(alpha^2 (x0^2 + y0^2) + h^2) * (beta1 - beta0). + // + const double height = direction_[2]; + for (const auto & pt: poly_->points) { + const double l = sqrt(alpha_*alpha_ * (pt.x()*pt.x() + pt.y()*pt.y()) + height*height); + assert(max_edge_size_at_feature_edges_ > 0.0); + const size_t n = int(l / max_edge_size_at_feature_edges_ - 0.5) + 1; + std::vector> line = { + {pt.x(), pt.y(), 0.0}, + }; + for (size_t i=0; i < n; i++) { + const double beta = double(i+1) / n; + const double sinAB = sin(alpha_*beta); + const double cosAB = cos(alpha_*beta); + line.push_back({ + cosAB * pt.x() - sinAB * pt.y(), + sinAB * pt.x() + cosAB * pt.y(), + beta * height + }); + } + features.push_back(line); + } + } + + return features; + }; + + private: + const std::shared_ptr poly_; + const std::array direction_; + const double alpha_; + const double max_edge_size_at_feature_edges_; +}; + + +class ring_extrude: public pygalmesh::DomainBase { + public: + ring_extrude( + const std::shared_ptr & poly, + const double max_edge_size_at_feature_edges + ): + poly_(poly), + max_edge_size_at_feature_edges_(max_edge_size_at_feature_edges) + { + assert(max_edge_size_at_feature_edges > 0.0); + } + + virtual ~ring_extrude() = default; + + virtual + double + eval(const std::array & x) const + { + const double r = sqrt(x[0]*x[0] + x[1]*x[1]); + const double z = x[2]; + + return poly_->is_inside({r, z}) ? -1.0 : 1.0; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + double max = 0.0; + for (const auto & pt: poly_->points) { + const double nrm1 = pt.x()*pt.x() + pt.y()*pt.y(); + if (nrm1 > max) { + max = nrm1; + } + } + return max; + } + + virtual + std::vector>> + get_features() const + { + std::vector>> features = {}; + + for (const auto & pt: poly_->points) { + const double r = pt.x(); + const double circ = 2 * 3.14159265359 * r; + const size_t n = int(circ / max_edge_size_at_feature_edges_ - 0.5) + 1; + std::vector> line; + for (size_t i=0; i < n; i++) { + const double alpha = (2 * 3.14159265359 * i) / n; + line.push_back({ + r * cos(alpha), + r * sin(alpha), + pt.y() + }); + } + line.push_back(line.front()); + features.push_back(line); + } + return features; + } + + private: + const std::shared_ptr poly_; + const double max_edge_size_at_feature_edges_; +}; + +} // namespace pygalmesh + +#endif // POLYGON2D_HPP diff --git a/src/primitives.hpp b/src/primitives.hpp new file mode 100644 index 0000000..e3ee25e --- /dev/null +++ b/src/primitives.hpp @@ -0,0 +1,464 @@ +// Note: +// One could also implement the primitives as Python classes and have much more readable +// code. Unfortunately, this approach would be a lot slower. The reason is that CGAL +// calls the eval() method with individual points, and this many CPP-to-Python calls are +// very expensive. It would be a lot better if CGAL called the method with batches of X +// at once, which would also enable users to employ some optimization, but this isn't +// the case yet. It's not clear if the mesh building algorithm allows for such +// optimziation at all. +// The corresponding issue hasn't gained much traction +// . +// +#ifndef PRIMITIVES_HPP +#define PRIMITIVES_HPP + +#include "domain.hpp" + +#include +#include + +namespace pygalmesh { + +class Ball: public pygalmesh::DomainBase +{ + public: + Ball( + const std::array & x0, + const double radius + ): + x0_(x0), + radius_(radius) + { + assert(x0_.size() == 3); + } + + virtual ~Ball() = default; + + virtual + double + eval(const std::array & x) const + { + const double xx0 = x[0] - x0_[0]; + const double yy0 = x[1] - x0_[1]; + const double zz0 = x[2] - x0_[2]; + return xx0*xx0 + yy0*yy0 + zz0*zz0 - radius_*radius_; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + const double x0_nrm = sqrt(x0_[0]*x0_[0] + x0_[1]*x0_[1] + x0_[2]*x0_[2]); + return (x0_nrm + radius_) * (x0_nrm + radius_); + } + + private: + const std::array x0_; + const double radius_; +}; + + +class Cuboid: public pygalmesh::DomainBase +{ + public: + Cuboid( + const std::array & x0, + const std::array & x1 + ): + x0_(x0), + x1_(x1) + { + } + + virtual ~Cuboid() = default; + + virtual + double + eval(const std::array & x) const + { + // TODO differentiable expression? + return std::max(std::max( + (x[0] - x0_[0]) * (x[0] - x1_[0]), + (x[1] - x0_[1]) * (x[1] - x1_[1]) + ), + (x[2] - x0_[2]) * (x[2] - x1_[2]) + ); + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + const double x0_nrm2 = x0_[0]*x0_[0] + x0_[1]*x0_[1] + x0_[2]*x0_[2]; + const double x1_nrm2 = x1_[0]*x1_[0] + x1_[1]*x1_[1] + x1_[2]*x1_[2]; + return std::max({x0_nrm2, x1_nrm2}); + } + + virtual + std::vector>> + get_features() const + { + std::vector> corners = { + {x0_[0], x0_[1], x0_[2]}, + {x1_[0], x0_[1], x0_[2]}, + {x0_[0], x1_[1], x0_[2]}, + {x0_[0], x0_[1], x1_[2]}, + {x1_[0], x1_[1], x0_[2]}, + {x1_[0], x0_[1], x1_[2]}, + {x0_[0], x1_[1], x1_[2]}, + {x1_[0], x1_[1], x1_[2]} + }; + return { + {corners[0], corners[1]}, + {corners[0], corners[2]}, + {corners[0], corners[3]}, + {corners[1], corners[4]}, + {corners[1], corners[5]}, + {corners[2], corners[4]}, + {corners[2], corners[6]}, + {corners[3], corners[5]}, + {corners[3], corners[6]}, + {corners[4], corners[7]}, + {corners[5], corners[7]}, + {corners[6], corners[7]} + }; + }; + + private: + const std::array x0_; + const std::array x1_; +}; + + +class Ellipsoid: public pygalmesh::DomainBase +{ + public: + Ellipsoid( + const std::array & x0, + const double a0, + const double a1, + const double a2 + ): + x0_(x0), + a0_2_(a0*a0), + a1_2_(a1*a1), + a2_2_(a2*a1) + { + } + + virtual ~Ellipsoid() = default; + + virtual + double + eval(const std::array & x) const + { + const double xx0 = x[0] - x0_[0]; + const double yy0 = x[1] - x0_[1]; + const double zz0 = x[2] - x0_[2]; + return xx0*xx0/a0_2_ + yy0*yy0/a1_2_ + zz0*zz0/a2_2_ - 1.0; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + return std::max({a0_2_, a1_2_, a2_2_}); + } + + private: + const std::array x0_; + const double a0_2_; + const double a1_2_; + const double a2_2_; +}; + + +class Cylinder: public pygalmesh::DomainBase +{ + public: + Cylinder( + const double z0, + const double z1, + const double radius, + const double feature_edge_length + ): + z0_(z0), + z1_(z1), + radius_(radius), + feature_edge_length_(feature_edge_length) + { + assert(z1_ > z0_); + } + + virtual ~Cylinder() = default; + + virtual + double + eval(const std::array & x) const + { + return (z0_ < x[2] && x[2] < z1_) ? + x[0]*x[0] + x[1]*x[1] - radius_*radius_ : + 1.0; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + const double zmax = std::max({abs(z0_), abs(z1_)}); + return zmax*zmax + radius_*radius_; + } + + virtual + std::vector>> + get_features() const + { + const double pi = 3.1415926535897932384; + const size_t n = 2 * pi * radius_ / feature_edge_length_; + std::vector> circ0(n+1); + std::vector> circ1(n+1); + for (size_t i=0; i < n; i++) { + const double c = radius_ * cos((2*pi * i) / n); + const double s = radius_ * sin((2*pi * i) / n); + circ0[i] = {c, s, z0_}; + circ1[i] = {c, s, z1_}; + } + // close the circles + circ0[n] = circ0[0]; + circ1[n] = circ1[0]; + return {circ0, circ1}; + }; + + private: + const double z0_; + const double z1_; + const double radius_; + const double feature_edge_length_; +}; + + +class Cone: public pygalmesh::DomainBase +{ + public: + Cone( + const double radius, + const double height, + const double feature_edge_length + ): + radius_(radius), + height_(height), + feature_edge_length_(feature_edge_length) + { + assert(radius_ > 0.0); + assert(height_ > 0.0); + } + + virtual ~Cone() = default; + + virtual + double + eval(const std::array & x) const + { + const double rad = radius_ * (1.0 - x[2] / height_); + + return (0.0 < x[2] && x[2] < height_) ? + x[0]*x[0] + x[1]*x[1] - rad*rad : + 1.0; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + const double max = std::max({radius_, height_}); + return max*max; + } + + virtual + std::vector>> + get_features() const + { + const double pi = 3.1415926535897932384; + const size_t n = 2 * pi * radius_ / feature_edge_length_; + std::vector> circ0(n+1); + for (size_t i=0; i < n; i++) { + const double c = radius_ * cos((2*pi * i) / n); + const double s = radius_ * sin((2*pi * i) / n); + circ0[i] = {c, s, 0.0}; + } + circ0[n] = circ0[0]; + return {circ0}; + }; + + private: + const double radius_; + const double height_; + const double feature_edge_length_; +}; + + +class Tetrahedron: public pygalmesh::DomainBase +{ + public: + Tetrahedron( + const std::array & x0, + const std::array & x1, + const std::array & x2, + const std::array & x3 + ): + x0_(Eigen::Vector3d(x0[0], x0[1], x0[2])), + x1_(Eigen::Vector3d(x1[0], x1[1], x1[2])), + x2_(Eigen::Vector3d(x2[0], x2[1], x2[2])), + x3_(Eigen::Vector3d(x3[0], x3[1], x3[2])) + { + } + + virtual ~Tetrahedron() = default; + + bool isOnSameSide( + const Eigen::Vector3d & v0, + const Eigen::Vector3d & v1, + const Eigen::Vector3d & v2, + const Eigen::Vector3d & v3, + const Eigen::Vector3d & p + ) const + { + const auto normal = (v1 - v0).cross(v2 - v0); + const double dot_v3 = normal.dot(v3 - v0); + const double dot_p = normal.dot(p - v0); + return ( + (dot_v3 > 0 && dot_p > 0) || (dot_v3 < 0 && dot_p < 0) + ); + } + + virtual + double + eval(const std::array & x) const + { + // TODO continuous expression + Eigen::Vector3d pvec(x.data()); + const bool a = + isOnSameSide(x0_, x1_, x2_, x3_, pvec) && + isOnSameSide(x1_, x2_, x3_, x0_, pvec) && + isOnSameSide(x2_, x3_, x0_, x1_, pvec) && + isOnSameSide(x3_, x0_, x1_, x2_, pvec); + return a ? -1.0 : 1.0; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + return std::max({ + x0_.dot(x0_), + x1_.dot(x1_), + x2_.dot(x2_), + x3_.dot(x3_) + }); + } + + virtual + std::vector>> + get_features() const + { + std::vector> pts = { + {x0_[0], x0_[1], x0_[2]}, + {x1_[0], x1_[1], x1_[2]}, + {x2_[0], x2_[1], x2_[2]}, + {x3_[0], x3_[1], x3_[2]} + }; + return { + {pts[0], pts[1]}, + {pts[0], pts[2]}, + {pts[0], pts[3]}, + {pts[1], pts[2]}, + {pts[1], pts[3]}, + {pts[2], pts[3]} + }; + }; + + private: + const Eigen::Vector3d x0_; + const Eigen::Vector3d x1_; + const Eigen::Vector3d x2_; + const Eigen::Vector3d x3_; +}; + + +class Torus: public pygalmesh::DomainBase +{ + public: + Torus( + const double major_radius, + const double minor_radius + ): + major_radius_(major_radius), + minor_radius_(minor_radius) + { + } + + virtual ~Torus() = default; + + virtual + double + eval(const std::array & x) const + { + const double r = sqrt(x[0]*x[0] + x[1]*x[1]); + return ( + (r - major_radius_)*(r - major_radius_) + x[2]*x[2] + - minor_radius_*minor_radius_ + ); + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + return (major_radius_ + minor_radius_)*(major_radius_ + minor_radius_); + } + + private: + const double major_radius_; + const double minor_radius_; +}; + + +class HalfSpace: public pygalmesh::DomainBase +{ + public: + HalfSpace( + const std::array & n, + const double alpha, + const double bounding_sphere_squared_radius + ): + n_(n), + alpha_(alpha), + bounding_sphere_squared_radius_(bounding_sphere_squared_radius) + { + } + + virtual ~HalfSpace() = default; + + virtual + double + eval(const std::array & x) const + { + return n_[0]*x[0] + n_[1]*x[1] + n_[2]*x[2] - alpha_; + } + + virtual + double + get_bounding_sphere_squared_radius() const + { + return bounding_sphere_squared_radius_; + } + + private: + const std::array n_; + const double alpha_; + const double bounding_sphere_squared_radius_; +}; + +} // namespace pygalmesh + +#endif // PRIMITIVES_HPP diff --git a/src/pybind11.cpp b/src/pybind11.cpp new file mode 100644 index 0000000..7ec806c --- /dev/null +++ b/src/pybind11.cpp @@ -0,0 +1,388 @@ +#include "domain.hpp" +#include "generate.hpp" +#include "generate_2d.hpp" +#include "generate_from_off.hpp" +#include "generate_from_inr.hpp" +#include "remesh_surface.hpp" +#include "generate_periodic.hpp" +#include "generate_surface_mesh.hpp" +#include "polygon2d.hpp" +#include "primitives.hpp" +#include "sizing_field.hpp" + +#include + +#include +#include + +namespace py = pybind11; +using namespace pygalmesh; + + +// https://pybind11.readthedocs.io/en/stable/advanced/classes.html#overriding-virtual-functions-in-python +class PyDomainBase: public DomainBase { +public: + using DomainBase::DomainBase; + + double + eval(const std::array & x) const override { + PYBIND11_OVERLOAD_PURE(double, DomainBase, eval, x); + } + + double + get_bounding_sphere_squared_radius() const override { + PYBIND11_OVERLOAD_PURE(double, DomainBase, get_bounding_sphere_squared_radius); + } + + // std::vector>> + // get_features() const override { + // PYBIND11_OVERLOAD( + // std::vector>>, + // DomainBase, + // get_features, + // 0.0 + // ); + // } +}; + + +// https://pybind11.readthedocs.io/en/stable/advanced/classes.html#overriding-virtual-functions-in-python +class PySizingFieldBase: public SizingFieldBase { +public: + using SizingFieldBase::SizingFieldBase; + + double + eval(const std::array & x) const override { + PYBIND11_OVERLOAD_PURE(double, SizingFieldBase, eval, x); + } +}; + + +PYBIND11_MODULE(_pygalmesh, m) { + // m.doc() = "documentation string"; + + // Domain base. + // shared_ptr b/c of + // + py::class_>(m, "DomainBase") + .def(py::init<>()) + .def("eval", &DomainBase::eval) + .def("get_bounding_sphere_squared_radius", &DomainBase::get_bounding_sphere_squared_radius) + .def("get_features", &DomainBase::get_features); + + // Sizing field base. + // shared_ptr b/c of + // + py::class_>(m, "SizingFieldBase") + .def(py::init<>()) + .def("eval", &SizingFieldBase::eval); + + // Domain transformations + py::class_>(m, "Translate") + .def(py::init< + const std::shared_ptr &, + const std::array & + >()) + .def("eval", &Translate::eval) + .def("translate_features", &Translate::translate_features) + .def("get_bounding_sphere_squared_radius", &Translate::get_bounding_sphere_squared_radius) + .def("get_features", &Translate::get_features); + + py::class_>(m, "Rotate") + .def(py::init< + const std::shared_ptr &, + const std::array &, + const double + >()) + .def("eval", &Rotate::eval) + .def("rotate", &Rotate::rotate) + .def("rotate_features", &Rotate::rotate_features) + .def("get_bounding_sphere_squared_radius", &Rotate::get_bounding_sphere_squared_radius) + .def("get_features", &Rotate::get_features); + + py::class_>(m, "Scale") + .def(py::init< + std::shared_ptr &, + const double + >()) + .def("eval", &Scale::eval) + .def("scale_features", &Scale::scale_features) + .def("get_bounding_sphere_squared_radius", &Scale::get_bounding_sphere_squared_radius) + .def("get_features", &Scale::get_features); + + py::class_>(m, "Stretch") + .def(py::init< + std::shared_ptr &, + const std::array & + >()) + .def("eval", &Stretch::eval) + .def("stretch_features", &Stretch::stretch_features) + .def("get_bounding_sphere_squared_radius", &Stretch::get_bounding_sphere_squared_radius) + .def("get_features", &Stretch::get_features); + + py::class_>(m, "Intersection") + .def(py::init< + std::vector> & + >()) + .def("eval", &Intersection::eval) + .def("get_bounding_sphere_squared_radius", &Intersection::get_bounding_sphere_squared_radius) + .def("get_features", &Intersection::get_features); + + py::class_>(m, "Union") + .def(py::init< + std::vector> & + >()) + .def("eval", &Union::eval) + .def("get_bounding_sphere_squared_radius", &Union::get_bounding_sphere_squared_radius) + .def("get_features", &Union::get_features); + + py::class_>(m, "Difference") + .def(py::init< + std::shared_ptr &, + std::shared_ptr & + >()) + .def("eval", &Difference::eval) + .def("get_bounding_sphere_squared_radius", &Difference::get_bounding_sphere_squared_radius) + .def("get_features", &Difference::get_features); + + // Primitives + py::class_>(m, "Ball") + .def(py::init< + const std::array &, + const double + >()) + .def("eval", &Ball::eval) + .def("get_bounding_sphere_squared_radius", &Ball::get_bounding_sphere_squared_radius); + + py::class_>(m, "Cuboid") + .def(py::init< + const std::array &, + const std::array & + >()) + .def("eval", &Cuboid::eval) + .def("get_bounding_sphere_squared_radius", &Cuboid::get_bounding_sphere_squared_radius) + .def("get_features", &Cuboid::get_features); + + py::class_>(m, "Ellipsoid") + .def(py::init< + const std::array &, + const double, + const double, + const double + >()) + .def("eval", &Ellipsoid::eval) + .def("get_bounding_sphere_squared_radius", &Ellipsoid::get_bounding_sphere_squared_radius) + .def("get_features", &Ellipsoid::get_features); + + py::class_>(m, "Cylinder") + .def(py::init< + const double, + const double, + const double, + const double + >()) + .def("eval", &Cylinder::eval) + .def("get_bounding_sphere_squared_radius", &Cylinder::get_bounding_sphere_squared_radius) + .def("get_features", &Cylinder::get_features); + + py::class_>(m, "Cone") + .def(py::init< + const double, + const double, + const double + >()) + .def("eval", &Cone::eval) + .def("get_bounding_sphere_squared_radius", &Cone::get_bounding_sphere_squared_radius) + .def("get_features", &Cone::get_features); + + py::class_>(m, "Tetrahedron") + .def(py::init< + const std::array &, + const std::array &, + const std::array &, + const std::array & + >()) + .def("eval", &Tetrahedron::eval) + .def("get_bounding_sphere_squared_radius", &Tetrahedron::get_bounding_sphere_squared_radius) + .def("get_features", &Tetrahedron::get_features); + + py::class_>(m, "Torus") + .def(py::init< + const double, + const double + >()) + .def("eval", &Torus::eval) + .def("get_bounding_sphere_squared_radius", &Torus::get_bounding_sphere_squared_radius) + .def("get_features", &Torus::get_features); + + py::class_>(m, "HalfSpace") + .def(py::init< + const std::array &, + const double, + const double + >()) + .def("eval", &HalfSpace::eval) + .def("get_bounding_sphere_squared_radius", &HalfSpace::get_bounding_sphere_squared_radius); + + // polygon2d + py::class_>(m, "Polygon2D") + .def(py::init< + const std::vector> & + >()) + .def("vector_to_cgal_points", &Polygon2D::vector_to_cgal_points) + .def("is_inside", &Polygon2D::is_inside); + + py::class_>(m, "Extrude") + .def(py::init< + const std::shared_ptr &, + const std::array &, + const double, + const double + >(), + py::arg("poly"), + py::arg("direction"), + py::arg("alpha") = 0.0, + py::arg("max_edge_size_at_feature_edges") = 0.0 + ) + .def("eval", &Extrude::eval) + .def("get_bounding_sphere_squared_radius", &Extrude::get_bounding_sphere_squared_radius) + .def("get_features", &Extrude::get_features); + + py::class_>(m, "RingExtrude") + .def(py::init< + const std::shared_ptr &, + const double + >()) + .def("eval", &ring_extrude::eval) + .def("get_bounding_sphere_squared_radius", &ring_extrude::get_bounding_sphere_squared_radius) + .def("get_features", &ring_extrude::get_features); + + // functions + m.def( + "_generate_2d", &generate_2d, + py::arg("points"), + py::arg("constraints"), + py::arg("max_circumradius_shortest_edge_ratio") = 1.41421356237, + py::arg("max_edge_size") = 0.0, + py::arg("num_lloyd_steps") = 0 + ); + m.def( + "_generate_mesh", &generate_mesh, + py::arg("domain"), + py::arg("outfile"), + py::arg("extra_feature_edges") = std::vector>>(), + py::arg("bounding_sphere_radius") = 0.0, + py::arg("lloyd") = false, + py::arg("odt") = false, + py::arg("perturb") = true, + py::arg("exude") = true, + py::arg("max_edge_size_at_feature_edges_value") = 0.0, + py::arg("max_edge_size_at_feature_edges_field") = nullptr, + py::arg("min_facet_angle") = 0.0, + py::arg("max_radius_surface_delaunay_ball_value") = 0.0, + py::arg("max_radius_surface_delaunay_ball_field") = nullptr, + py::arg("max_facet_distance_value") = 0.0, + py::arg("max_facet_distance_field") = nullptr, + py::arg("max_circumradius_edge_ratio") = 0.0, + py::arg("max_cell_circumradius_value") = 0.0, + py::arg("max_cell_circumradius_field") = nullptr, + py::arg("verbose") = true, + py::arg("seed") = 0 + ); + m.def( + "_generate_periodic_mesh", &generate_periodic_mesh, + py::arg("domain"), + py::arg("outfile"), + py::arg("bounding_cuboid"), + py::arg("lloyd") = false, + py::arg("odt") = false, + py::arg("perturb") = true, + py::arg("exude") = true, + py::arg("max_edge_size_at_feature_edges") = 0.0, + py::arg("min_facet_angle") = 0.0, + py::arg("max_radius_surface_delaunay_ball") = 0.0, + py::arg("max_facet_distance") = 0.0, + py::arg("max_circumradius_edge_ratio") = 0.0, + py::arg("max_cell_circumradius") = 0.0, + py::arg("number_of_copies_in_output") = 1, + py::arg("verbose") = true, + py::arg("seed") = 0 + ); + m.def( + "_generate_surface_mesh", &generate_surface_mesh, + py::arg("domain"), + py::arg("outfile"), + py::arg("bounding_sphere_radius") = 0.0, + py::arg("min_facet_angle") = 0.0, + py::arg("max_radius_surface_delaunay_ball") = 0.0, + py::arg("max_facet_distance") = 0.0, + py::arg("verbose") = true, + py::arg("seed") = 0 + ); + m.def( + "_generate_from_off", &generate_from_off, + py::arg("infile"), + py::arg("outfile"), + py::arg("lloyd") = false, + py::arg("odt") = false, + py::arg("perturb") = true, + py::arg("exude") = true, + py::arg("max_edge_size_at_feature_edges") = 0.0, // std::numeric_limits::max(), + py::arg("min_facet_angle") = 0.0, + py::arg("max_radius_surface_delaunay_ball") = 0.0, + py::arg("max_facet_distance") = 0.0, + py::arg("max_circumradius_edge_ratio") = 0.0, + py::arg("max_cell_circumradius") = 0.0, + py::arg("verbose") = true, + py::arg("reorient") = false, + py::arg("seed") = 0 + ); + m.def( + "_generate_from_inr", &generate_from_inr, + py::arg("inr_filename"), + py::arg("outfile"), + py::arg("lloyd") = false, + py::arg("odt") = false, + py::arg("perturb") = true, + py::arg("exude") = true, + py::arg("max_edge_size_at_feature_edges") = 0.0, + py::arg("min_facet_angle") = 0.0, + py::arg("max_radius_surface_delaunay_ball") = 0.0, + py::arg("max_facet_distance") = 0.0, + py::arg("max_circumradius_edge_ratio") = 0.0, + py::arg("max_cell_circumradius") = 0.0, + py::arg("verbose") = true, + py::arg("seed") = 0 + ); + m.def( + "_generate_from_inr_with_subdomain_sizing", &generate_from_inr_with_subdomain_sizing, + py::arg("inr_filename"), + py::arg("outfile"), + py::arg("default_max_cell_circumradius"), + py::arg("max_cell_circumradiuss"), + py::arg("cell_labels"), + py::arg("lloyd") = false, + py::arg("odt") = false, + py::arg("perturb") = true, + py::arg("exude") = true, + py::arg("max_edge_size_at_feature_edges") = 0.0, + py::arg("min_facet_angle") = 0.0, + py::arg("max_radius_surface_delaunay_ball") = 0.0, + py::arg("max_facet_distance") = 0.0, + py::arg("max_circumradius_edge_ratio") = 0.0, + py::arg("verbose") = true, + py::arg("seed") = 0 + ); + m.def( + "_remesh_surface", &remesh_surface, + py::arg("infile"), + py::arg("outfile"), + py::arg("max_edge_size_at_feature_edges") = 0.0, + py::arg("min_facet_angle") = 0.0, + py::arg("max_radius_surface_delaunay_ball") = 0.0, + py::arg("max_facet_distance") = 0.0, + py::arg("verbose") = true, + py::arg("seed") = 0 + ); + m.attr("_CGAL_VERSION_STR") = CGAL_VERSION_STR; +} diff --git a/src/remesh_surface.cpp b/src/remesh_surface.cpp new file mode 100644 index 0000000..48e838b --- /dev/null +++ b/src/remesh_surface.cpp @@ -0,0 +1,87 @@ +#define CGAL_MESH_3_VERBOSE 1 + +#include "remesh_surface.hpp" + +#include +#include +#include +#include +#include +#include + +namespace pygalmesh { +// Domain +typedef CGAL::Exact_predicates_inexact_constructions_kernel K; +typedef CGAL::Polyhedral_mesh_domain_with_features_3 Mesh_domain; +// Polyhedron type +typedef CGAL::Mesh_polyhedron_3::type Polyhedron; +// Triangulation +typedef CGAL::Mesh_triangulation_3::type Tr; +typedef CGAL::Mesh_complex_3_in_triangulation_3< + Tr,Mesh_domain::Corner_index,Mesh_domain::Curve_index> C3t3; +// Criteria +typedef CGAL::Mesh_criteria_3 Mesh_criteria; + +// +void +remesh_surface( + const std::string & infile, + const std::string & outfile, + const double max_edge_size_at_feature_edges, + const double min_facet_angle, + const double max_radius_surface_delaunay_ball, + const double max_facet_distance, + const bool verbose, + const int seed + ) +{ + CGAL::get_default_random() = CGAL::Random(seed); + + // Load a polyhedron + Polyhedron poly; + std::ifstream input(infile.c_str()); + input >> poly; + if (!CGAL::is_triangle_mesh(poly)){ + throw "Input geometry is not triangulated."; + } + // Create a vector with only one element: the pointer to the polyhedron. + std::vector poly_ptrs_vector(1, &poly); + // Create a polyhedral domain with only one polyhedron and no "bounding polyhedron" + // so the volumetric part of the domain will be empty. + Mesh_domain domain(poly_ptrs_vector.begin(), poly_ptrs_vector.end()); + + // Get sharp features + domain.detect_features(); //includes detection of borders + // Mesh criteria + Mesh_criteria criteria( + CGAL::parameters::edge_size=max_edge_size_at_feature_edges, + CGAL::parameters::facet_angle=min_facet_angle, + CGAL::parameters::facet_size=max_radius_surface_delaunay_ball, + CGAL::parameters::facet_distance=max_facet_distance + ); + + // Mesh generation + if (!verbose) { + // suppress output + std::cerr.setstate(std::ios_base::failbit); + } + C3t3 c3t3 = CGAL::make_mesh_3( + domain, + criteria, + CGAL::parameters::no_perturb(), + CGAL::parameters::no_exude() + ); + if (!verbose) { + std::cerr.clear(); + } + // Output the facets of the c3t3 to an OFF file. The facets will not be + // oriented. + std::ofstream off_file(outfile.c_str()); + c3t3.output_boundary_to_off(off_file); + if (off_file.fail()) { + throw "Failed to write OFF."; + } + return; +} + +} // namespace pygalmesh diff --git a/src/remesh_surface.hpp b/src/remesh_surface.hpp new file mode 100644 index 0000000..0e6043b --- /dev/null +++ b/src/remesh_surface.hpp @@ -0,0 +1,22 @@ +#ifndef REMESH_SURFACE_HPP +#define REMESH_SURFACE_HPP + +#include +#include + +namespace pygalmesh { + +void remesh_surface( + const std::string & infilen, + const std::string & outfile, + const double max_edge_size_at_feature_edges = 0.0, // std::numeric_limits::max(), + const double min_facet_angle = 0.0, + const double max_radius_surface_delaunay_ball = 0.0, + const double max_facet_distance = 0.0, + const bool verbose = true, + const int seed = 0 + ); + +} // namespace pygalmesh + +#endif // REMESH_SURFACE_HPP diff --git a/src/sizing_field.hpp b/src/sizing_field.hpp new file mode 100644 index 0000000..db6ab4b --- /dev/null +++ b/src/sizing_field.hpp @@ -0,0 +1,23 @@ +#ifndef SIZING_FIELD_HPP +#define SIZING_FIELD_HPP + +#include +#include + +namespace pygalmesh { + +class SizingFieldBase +{ + public: + + virtual ~SizingFieldBase() = default; + + virtual + double + eval(const std::array & x) const = 0; + + double val = -1.0; +}; + +} // namespace pygalmesh +#endif // SIZING_FIELD_HPP diff --git a/test/helpers.py b/test/helpers.py new file mode 100644 index 0000000..ad7d826 --- /dev/null +++ b/test/helpers.py @@ -0,0 +1,36 @@ +import numpy + + +def _row_dot(a, b): + # http://stackoverflow.com/a/26168677/353337 + return numpy.einsum("ij, ij->i", a, b) + + +def compute_volumes(vertices, tets): + cell_coords = vertices[tets] + + a = cell_coords[:, 1, :] - cell_coords[:, 0, :] + b = cell_coords[:, 2, :] - cell_coords[:, 0, :] + c = cell_coords[:, 3, :] - cell_coords[:, 0, :] + + # omega = + omega = _row_dot(a, numpy.cross(b, c)) + + # https://en.wikipedia.org/wiki/Tetrahedron#Volume + return abs(omega) / 6.0 + + +def compute_triangle_areas(vertices, triangles): + e0 = vertices[triangles[:, 1]] - vertices[triangles[:, 0]] + e1 = vertices[triangles[:, 2]] - vertices[triangles[:, 1]] + + assert e0.shape == e1.shape + if e0.shape[1] == 2: + z_component_of_e0_cross_e1 = numpy.cross(e0, e1) + cross_magnitude = z_component_of_e0_cross_e1 + else: + assert e0.shape[1] == 3 + e0_cross_e1 = numpy.cross(e0, e1) + cross_magnitude = numpy.sqrt(_row_dot(e0_cross_e1, e0_cross_e1)) + + return 0.5 * cross_magnitude diff --git a/test/meshes/elephant.vtu b/test/meshes/elephant.vtu new file mode 100644 index 0000000..23c4edd --- /dev/null +++ b/test/meshes/elephant.vtu @@ -0,0 +1,15 @@ + + + + + + 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BQAAAACAAAAQCQAAuyEAAOgfAACQHwAAbh4AAHwCAAA=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AgAAAACAAACwLQAAlhgAAOQIAAA=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zbl&m}^ufb_X`6R*m{#co^J`TPwyUqezOjsBGiDUA*7f&Uu1=l%^2vx>u%RDkInX3}&DK?GCg9yWjy{;0fN4u?J;ACS(J{IK-lXn2Hgb4Pu<4o`rw$Q{YA` zE?{z^52i5hP<_6&MOF0KO6Ae7LP;1-QML72P~^m1XEYa7B-U($&9| ze_zZ{O=>)?3J$l$TI*9Wql7Ma_f7tI#D;5l*jbY3`k;Wgd3X@1VX>c7ze-Z8GtW^E z$2!tAz0cCOv+bD56^YE6)(6alNBZoV3scx*Md55*b^*IXd69i|r-3zl{fQl&|BG$y z`lqu-p&rg2q8VsF3p=n29&3>oc!D=%Ko(>|HZWWV7R0m+v5iEG))D^rs< 1.0e-5) + + +if __name__ == "__main__": + test_disk() diff --git a/test/test_from_array.py b/test/test_from_array.py new file mode 100644 index 0000000..460f7a8 --- /dev/null +++ b/test/test_from_array.py @@ -0,0 +1,72 @@ +import helpers +import numpy as np + +import pygalmesh + + +def test_from_array(): + n = 200 + shape = (n, n, n) + h = [1.0 / s for s in shape] + vol = np.zeros(shape, dtype=np.uint16) + i, j, k = np.arange(shape[0]), np.arange(shape[1]), np.arange(shape[2]) + ii, jj, kk = np.meshgrid(i, j, k) + vol[ii * ii + jj * jj + kk * kk < n ** 2] = 1 + vol[ii * ii + jj * jj + kk * kk < (0.5 * n) ** 2] = 2 + + mesh = pygalmesh.generate_from_array( + vol, + h, + max_cell_circumradius=100 * min(h), + max_facet_distance=min(h), + verbose=False, + ) + + tol = min(h) + ref = [1.0, 0.0, 1.0, 0.0, 1.0, 0.0] + assert abs(max(mesh.points[:, 0]) - ref[0]) < tol + assert abs(min(mesh.points[:, 0]) - ref[1]) < tol + assert abs(max(mesh.points[:, 1]) - ref[2]) < tol + assert abs(min(mesh.points[:, 1]) - ref[3]) < tol + assert abs(max(mesh.points[:, 2]) - ref[4]) < tol + assert abs(min(mesh.points[:, 2]) - ref[5]) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + ref = 1.0 / 6.0 * np.pi + # Debian needs 2.0e-2 here. + # + assert abs(vol - ref) < ref * 2.0e-2 + + +def test_from_array_with_subdomain_sizing(): + n = 200 + shape = (n, n, n) + h = [1.0 / s for s in shape] + vol = np.zeros(shape, dtype=np.uint16) + i, j, k = np.arange(shape[0]), np.arange(shape[1]), np.arange(shape[2]) + ii, jj, kk = np.meshgrid(i, j, k) + vol[ii * ii + jj * jj + kk * kk < n ** 2] = 1 + vol[ii * ii + jj * jj + kk * kk < (0.5 * n) ** 2] = 2 + + mesh = pygalmesh.generate_from_array( + vol, + h, + max_cell_circumradius={1: 100 * min(h), 2: 10 * min(h)}, + max_facet_distance=min(h), + verbose=False, + ) + + tol = min(h) + ref = [1.0, 0.0, 1.0, 0.0, 1.0, 0.0] + assert abs(max(mesh.points[:, 0]) - ref[0]) < tol + assert abs(min(mesh.points[:, 0]) - ref[1]) < tol + assert abs(max(mesh.points[:, 1]) - ref[2]) < tol + assert abs(min(mesh.points[:, 1]) - ref[3]) < tol + assert abs(max(mesh.points[:, 2]) - ref[4]) < tol + assert abs(min(mesh.points[:, 2]) - ref[5]) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + ref = 1.0 / 6.0 * np.pi + # Debian needs 2.0e-2 here. + # + assert abs(vol - ref) < ref * 2.0e-2 diff --git a/test/test_inr.py b/test/test_inr.py new file mode 100644 index 0000000..1ce98af --- /dev/null +++ b/test/test_inr.py @@ -0,0 +1,42 @@ +import pathlib +import tempfile + +import helpers +import meshio + +import pygalmesh + + +def test_inr(): + this_dir = pathlib.Path(__file__).resolve().parent + # mesh = pygalmesh.generate_from_inr( + # this_dir / "meshes" / "skull_2.9.inr", max_cell_circumradius=5.0, verbose=False + # ) + with tempfile.TemporaryDirectory() as tmp: + out_filename = str(pathlib.Path(tmp) / "out.vtk") + pygalmesh._cli.inr( + [ + str(this_dir / "meshes" / "skull_2.9.inr"), + out_filename, + "--max-cell-circumradius", + "5.0", + "--quiet", + ] + ) + mesh = meshio.read(out_filename) + + tol = 2.0e-3 + ref = [2.031053e02, 3.739508e01, 2.425594e02, 2.558910e01, 2.300883e02, 1.775010e00] + assert abs(max(mesh.points[:, 0]) - ref[0]) < tol * ref[0] + assert abs(min(mesh.points[:, 0]) - ref[1]) < tol * ref[1] + assert abs(max(mesh.points[:, 1]) - ref[2]) < tol * ref[2] + assert abs(min(mesh.points[:, 1]) - ref[3]) < tol * ref[3] + assert abs(max(mesh.points[:, 2]) - ref[4]) < tol * ref[4] + tol = 3.0e-2 + assert abs(min(mesh.points[:, 2]) - ref[5]) < tol * ref[5] + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + ref = 2.725335e06 + # Debian needs 2.0e-2 here. + # + assert abs(vol - ref) < ref * 2.0e-2 diff --git a/test/test_periodic.py b/test/test_periodic.py new file mode 100644 index 0000000..c35ffa8 --- /dev/null +++ b/test/test_periodic.py @@ -0,0 +1,42 @@ +import numpy + +import pygalmesh + + +def test_schwarz(): + class Schwarz(pygalmesh.DomainBase): + def __init__(self): + super().__init__() + + def eval(self, x): + x2 = numpy.cos(x[0] * 2 * numpy.pi) + y2 = numpy.cos(x[1] * 2 * numpy.pi) + z2 = numpy.cos(x[2] * 2 * numpy.pi) + return x2 + y2 + z2 + + mesh = pygalmesh.generate_periodic_mesh( + Schwarz(), + [0, 0, 0, 1, 1, 1], + max_cell_circumradius=0.05, + min_facet_angle=30, + max_radius_surface_delaunay_ball=0.05, + max_facet_distance=0.025, + max_circumradius_edge_ratio=2.0, + number_of_copies_in_output=4, + # odt=True, + # lloyd=True, + verbose=False, + ) + + # The RNG in CGAL makes the following assertions fail sometimes. + # assert len(mesh.cells["triangle"]) == 12784 + # assert len(mesh.cells["tetra"]) == 67120 + + return mesh + + +if __name__ == "__main__": + import meshio + + mesh = test_schwarz() + meshio.write("out.vtk", mesh) diff --git a/test/test_readme.py b/test/test_readme.py new file mode 100644 index 0000000..4a45343 --- /dev/null +++ b/test/test_readme.py @@ -0,0 +1,21 @@ +import pathlib + +import pytest + +# exdown not yet available on conda-forge +exdown = pytest.importorskip("exdown") + +this_dir = pathlib.Path(__file__).resolve().parent + + +@pytest.mark.parametrize( + "string,lineno", + exdown.extract(this_dir.parent / "README.md", syntax_filter="python"), +) +def test_readme(string, lineno): + try: + # https://stackoverflow.com/a/62851176/353337 + exec(string, {"__MODULE__": "__main__"}) + except Exception: + print(f"README.md (line {lineno}):\n```\n{string}```") + raise diff --git a/test/test_remesh_surface.py b/test/test_remesh_surface.py new file mode 100644 index 0000000..602bf6a --- /dev/null +++ b/test/test_remesh_surface.py @@ -0,0 +1,60 @@ +import pathlib +import tempfile + +import helpers +import meshio + +import pygalmesh + + +def test_remesh_surface(): + this_dir = pathlib.Path(__file__).resolve().parent + # mesh = pygalmesh.remesh_surface( + # this_dir / "meshes" / "lion-head.off", + # max_edge_size_at_feature_edges=0.025, + # min_facet_angle=25, + # max_radius_surface_delaunay_ball=0.1, + # max_facet_distance=0.001, + # verbose=False, + # ) + with tempfile.TemporaryDirectory() as tmp: + out_filename = str(pathlib.Path(tmp) / "out.vtk") + pygalmesh._cli.remesh_surface( + [ + str(this_dir / "meshes" / "lion-head.off"), + out_filename, + "--max-edge-size-at-feature-edges", + "0.025", + "--min-facet-angle", + "25", + "--max-radius-surface-delaunay-ball", + "0.1", + "--max-facet-distance", + "0.001", + "--quiet", + ] + ) + mesh = meshio.read(out_filename) + + tol = 1.0e-3 + ref = [ + 3.705640e-01, + -3.711630e-01, + 4.754940e-01, + -4.728260e-01, + 4.998690e-01, + -4.998350e-01, + ] + assert abs(max(mesh.points[:, 0]) - ref[0]) < tol * abs(ref[0]) + assert abs(min(mesh.points[:, 0]) - ref[1]) < tol * abs(ref[1]) + assert abs(max(mesh.points[:, 1]) - ref[2]) < tol * abs(ref[2]) + assert abs(min(mesh.points[:, 1]) - ref[3]) < tol * abs(ref[3]) + assert abs(max(mesh.points[:, 2]) - ref[4]) < tol * abs(ref[4]) + assert abs(min(mesh.points[:, 2]) - ref[5]) < tol * abs(ref[5]) + + print(helpers.compute_triangle_areas(mesh.points, mesh.get_cells_type("triangle"))) + vol = sum( + helpers.compute_triangle_areas(mesh.points, mesh.get_cells_type("triangle")) + ) + ref = 1.917942005786831 + assert abs(vol - ref) < ref * 1.0e-3 diff --git a/test/test_surface_mesh.py b/test/test_surface_mesh.py new file mode 100644 index 0000000..970f069 --- /dev/null +++ b/test/test_surface_mesh.py @@ -0,0 +1,28 @@ +import helpers +import numpy + +import pygalmesh + + +def test_sphere(): + radius = 1.0 + s = pygalmesh.Ball([0.0, 0.0, 0.0], radius) + mesh = pygalmesh.generate_surface_mesh( + s, + min_facet_angle=30.0, + max_radius_surface_delaunay_ball=0.1, + max_facet_distance=0.1, + verbose=False, + ) + + tol = 1.0e-2 + assert abs(max(mesh.points[:, 0]) - radius) < tol + assert abs(min(mesh.points[:, 0]) + radius) < tol + assert abs(max(mesh.points[:, 1]) - radius) < tol + assert abs(min(mesh.points[:, 1]) + radius) < tol + assert abs(max(mesh.points[:, 2]) - radius) < tol + assert abs(min(mesh.points[:, 2]) + radius) < tol + + areas = helpers.compute_triangle_areas(mesh.points, mesh.get_cells_type("triangle")) + surface_area = sum(areas) + assert abs(surface_area - 4 * numpy.pi * radius ** 2) < 0.1 diff --git a/test/test_volume_from_surface.py b/test/test_volume_from_surface.py new file mode 100644 index 0000000..d1091d6 --- /dev/null +++ b/test/test_volume_from_surface.py @@ -0,0 +1,48 @@ +import pathlib +import tempfile + +import helpers +import meshio + +import pygalmesh + + +def test_volume_from_surface(): + this_dir = pathlib.Path(__file__).resolve().parent + # mesh = pygalmesh.generate_volume_mesh_from_surface_mesh( + # this_dir / "meshes" / "elephant.vtu", + # min_facet_angle=25.0, + # max_radius_surface_delaunay_ball=0.15, + # max_facet_distance=0.008, + # max_circumradius_edge_ratio=3.0, + # verbose=False, + # ) + with tempfile.TemporaryDirectory() as tmp: + out_filename = str(pathlib.Path(tmp) / "out.vtk") + pygalmesh._cli.volume_from_surface( + [ + str(this_dir / "meshes" / "elephant.vtu"), + out_filename, + "--min-facet-angle", + "0.5", + "--max-radius-surface-delaunay-ball", + "0.15", + "--max-facet-distance", + "0.008", + "--max-circumradius-edge-ratio", + "3.0", + "--quiet", + ] + ) + mesh = meshio.read(out_filename) + + tol = 2.0e-2 + assert abs(max(mesh.points[:, 0]) - 0.357612477657) < tol + assert abs(min(mesh.points[:, 0]) + 0.358747130015) < tol + assert abs(max(mesh.points[:, 1]) - 0.496137874959) < tol + assert abs(min(mesh.points[:, 1]) + 0.495301051456) < tol + assert abs(max(mesh.points[:, 2]) - 0.298780230629) < tol + assert abs(min(mesh.points[:, 2]) + 0.300472866512) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 0.044164693065) < tol diff --git a/test/test_volume_mesh.py b/test/test_volume_mesh.py new file mode 100644 index 0000000..394e3bb --- /dev/null +++ b/test/test_volume_mesh.py @@ -0,0 +1,616 @@ +import helpers +import numpy + +import pygalmesh + + +def test_ball(): + s = pygalmesh.Ball([0.0, 0.0, 0.0], 1.0) + mesh = pygalmesh.generate_mesh(s, max_cell_circumradius=0.2, verbose=False) + + assert abs(max(mesh.points[:, 0]) - 1.0) < 0.02 + assert abs(min(mesh.points[:, 0]) + 1.0) < 0.02 + assert abs(max(mesh.points[:, 1]) - 1.0) < 0.02 + assert abs(min(mesh.points[:, 1]) + 1.0) < 0.02 + assert abs(max(mesh.points[:, 2]) - 1.0) < 0.02 + assert abs(min(mesh.points[:, 2]) + 1.0) < 0.02 + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 4.0 / 3.0 * numpy.pi) < 0.15 + + +def test_balls_union(): + radius = 1.0 + displacement = 0.5 + s0 = pygalmesh.Ball([displacement, 0, 0], radius) + s1 = pygalmesh.Ball([-displacement, 0, 0], radius) + u = pygalmesh.Union([s0, s1]) + + a = numpy.sqrt(radius ** 2 - displacement ** 2) + max_edge_size_at_feature_edges = 0.1 + n = int(2 * numpy.pi * a / max_edge_size_at_feature_edges) + circ = [ + [0.0, a * numpy.cos(i * 2 * numpy.pi / n), a * numpy.sin(i * 2 * numpy.pi / n)] + for i in range(n) + ] + circ.append(circ[0]) + + mesh = pygalmesh.generate_mesh( + u, + extra_feature_edges=[circ], + max_cell_circumradius=0.15, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + verbose=False, + ) + + assert abs(max(mesh.points[:, 0]) - (radius + displacement)) < 0.02 + assert abs(min(mesh.points[:, 0]) + (radius + displacement)) < 0.02 + assert abs(max(mesh.points[:, 1]) - radius) < 0.02 + assert abs(min(mesh.points[:, 1]) + radius) < 0.02 + assert abs(max(mesh.points[:, 2]) - radius) < 0.02 + assert abs(min(mesh.points[:, 2]) + radius) < 0.02 + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + h = radius - displacement + ref_vol = 2 * ( + 4.0 / 3.0 * numpy.pi * radius ** 3 - h * numpy.pi / 6.0 * (3 * a ** 2 + h ** 2) + ) + + assert abs(vol - ref_vol) < 0.1 + + +def test_balls_intersection(): + radius = 1.0 + displacement = 0.5 + s0 = pygalmesh.Ball([displacement, 0, 0], radius) + s1 = pygalmesh.Ball([-displacement, 0, 0], radius) + u = pygalmesh.Intersection([s0, s1]) + + a = numpy.sqrt(radius ** 2 - displacement ** 2) + max_edge_size_at_feature_edges = 0.1 + n = int(2 * numpy.pi * a / max_edge_size_at_feature_edges) + circ = [ + [0.0, a * numpy.cos(i * 2 * numpy.pi / n), a * numpy.sin(i * 2 * numpy.pi / n)] + for i in range(n) + ] + circ.append(circ[0]) + + mesh = pygalmesh.generate_mesh( + u, + extra_feature_edges=[circ], + max_cell_circumradius=0.15, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + verbose=False, + ) + + assert abs(max(mesh.points[:, 0]) - (radius - displacement)) < 0.02 + assert abs(min(mesh.points[:, 0]) + (radius - displacement)) < 0.02 + assert abs(max(mesh.points[:, 1]) - a) < 0.02 + assert abs(min(mesh.points[:, 1]) + a) < 0.02 + assert abs(max(mesh.points[:, 2]) - a) < 0.02 + assert abs(min(mesh.points[:, 2]) + a) < 0.02 + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + h = radius - displacement + ref_vol = 2 * (h * numpy.pi / 6.0 * (3 * a ** 2 + h ** 2)) + + assert abs(vol - ref_vol) < 0.1 + + +def test_balls_difference(): + radius = 1.0 + displacement = 0.5 + s0 = pygalmesh.Ball([displacement, 0, 0], radius) + s1 = pygalmesh.Ball([-displacement, 0, 0], radius) + u = pygalmesh.Difference(s0, s1) + + a = numpy.sqrt(radius ** 2 - displacement ** 2) + max_edge_size_at_feature_edges = 0.15 + n = int(2 * numpy.pi * a / max_edge_size_at_feature_edges) + circ = [ + [0.0, a * numpy.cos(i * 2 * numpy.pi / n), a * numpy.sin(i * 2 * numpy.pi / n)] + for i in range(n) + ] + circ.append(circ[0]) + + mesh = pygalmesh.generate_mesh( + u, + extra_feature_edges=[circ], + max_cell_circumradius=0.15, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + min_facet_angle=25, + max_radius_surface_delaunay_ball=0.15, + max_circumradius_edge_ratio=2.0, + verbose=False, + ) + + tol = 0.02 + assert abs(max(mesh.points[:, 0]) - (radius + displacement)) < tol + assert abs(min(mesh.points[:, 0]) - 0.0) < tol + assert abs(max(mesh.points[:, 1]) - radius) < tol + assert abs(min(mesh.points[:, 1]) + radius) < tol + assert abs(max(mesh.points[:, 2]) - radius) < tol + assert abs(min(mesh.points[:, 2]) + radius) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + h = radius - displacement + ref_vol = 4.0 / 3.0 * numpy.pi * radius ** 3 - 2 * h * numpy.pi / 6.0 * ( + 3 * a ** 2 + h ** 2 + ) + + assert abs(vol - ref_vol) < 0.05 + + +def test_cuboids_intersection(): + c0 = pygalmesh.Cuboid([0, 0, -0.5], [3, 3, 0.5]) + c1 = pygalmesh.Cuboid([1, 1, -2], [2, 2, 2]) + u = pygalmesh.Intersection([c0, c1]) + + # In CGAL, feature edges must not intersect, and that's a problem here: The + # intersection edges of the cuboids share eight points with the edges of + # the tall and skinny cuboid. + # eps = 1.0e-2 + # extra_features = [ + # [[1.0, 1.0 + eps, 0.5], [1.0, 2.0 - eps, 0.5]], + # [[1.0 + eps, 2.0, 0.5], [2.0 - eps, 2.0, 0.5]], + # [[2.0, 2.0 - eps, 0.5], [2.0, 1.0 + eps, 0.5]], + # [[2.0 - eps, 1.0, 0.5], [1.0 + eps, 1.0, 0.5]], + # ] + + mesh = pygalmesh.generate_mesh( + u, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=0.1, + verbose=False, + ) + + # filter the vertices that belong to cells + verts = mesh.points[numpy.unique(mesh.get_cells_type("tetra"))] + + tol = 1.0e-2 + assert abs(max(verts[:, 0]) - 2.0) < tol + assert abs(min(verts[:, 0]) - 1.0) < tol + assert abs(max(verts[:, 1]) - 2.0) < tol + assert abs(min(verts[:, 1]) - 1.0) < tol + assert abs(max(verts[:, 2]) - 0.5) < 0.05 + assert abs(min(verts[:, 2]) + 0.5) < 0.05 + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 1.0) < 0.05 + + +def test_cuboids_union(): + c0 = pygalmesh.Cuboid([0, 0, -0.5], [3, 3, 0.5]) + c1 = pygalmesh.Cuboid([1, 1, -2], [2, 2, 2]) + u = pygalmesh.Union([c0, c1]) + + mesh = pygalmesh.generate_mesh( + u, + max_cell_circumradius=0.2, + max_edge_size_at_feature_edges=0.2, + verbose=False, + ) + + # filter the vertices that belong to cells + verts = mesh.points[numpy.unique(mesh.get_cells_type("tetra"))] + + tol = 1.0e-2 + assert abs(max(verts[:, 0]) - 3.0) < tol + assert abs(min(verts[:, 0]) - 0.0) < tol + assert abs(max(verts[:, 1]) - 3.0) < tol + assert abs(min(verts[:, 1]) - 0.0) < tol + assert abs(max(verts[:, 2]) - 2.0) < tol + assert abs(min(verts[:, 2]) + 2.0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 12.0) < 0.1 + + +def test_cuboid(): + s0 = pygalmesh.Cuboid([0, 0, 0], [1, 2, 3]) + mesh = pygalmesh.generate_mesh( + s0, max_edge_size_at_feature_edges=0.1, verbose=False + ) + + tol = 1.0e-3 + assert abs(max(mesh.points[:, 0]) - 1.0) < tol + assert abs(min(mesh.points[:, 0]) + 0.0) < tol + assert abs(max(mesh.points[:, 1]) - 2.0) < tol + assert abs(min(mesh.points[:, 1]) + 0.0) < tol + assert abs(max(mesh.points[:, 2]) - 3.0) < tol + assert abs(min(mesh.points[:, 2]) + 0.0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 6.0) < tol + + +def test_cone(): + base_radius = 1.0 + height = 2.0 + max_edge_size_at_feature_edges = 0.1 + s0 = pygalmesh.Cone(base_radius, height, max_edge_size_at_feature_edges) + mesh = pygalmesh.generate_mesh( + s0, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + verbose=False, + ) + + tol = 2.0e-1 + assert abs(max(mesh.points[:, 0]) - base_radius) < tol + assert abs(min(mesh.points[:, 0]) + base_radius) < tol + assert abs(max(mesh.points[:, 1]) - base_radius) < tol + assert abs(min(mesh.points[:, 1]) + base_radius) < tol + assert abs(max(mesh.points[:, 2]) - height) < tol + assert abs(min(mesh.points[:, 2]) + 0.0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + ref_vol = numpy.pi * base_radius * base_radius / 3.0 * height + assert abs(vol - ref_vol) < tol + + +def test_cylinder(): + radius = 1.0 + z0 = 0.0 + z1 = 1.0 + edge_length = 0.1 + s0 = pygalmesh.Cylinder(z0, z1, radius, edge_length) + mesh = pygalmesh.generate_mesh( + s0, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=edge_length, + verbose=False, + ) + + tol = 1.0e-1 + assert abs(max(mesh.points[:, 0]) - radius) < tol + assert abs(min(mesh.points[:, 0]) + radius) < tol + assert abs(max(mesh.points[:, 1]) - radius) < tol + assert abs(min(mesh.points[:, 1]) + radius) < tol + assert abs(max(mesh.points[:, 2]) - z1) < tol + assert abs(min(mesh.points[:, 2]) + z0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + ref_vol = numpy.pi * radius * radius * (z1 - z0) + assert abs(vol - ref_vol) < tol + + +def test_tetrahedron(): + s0 = pygalmesh.Tetrahedron( + [0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 1.0] + ) + mesh = pygalmesh.generate_mesh( + s0, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=0.1, + verbose=False, + ) + + tol = 1.0e-3 + assert abs(max(mesh.points[:, 0]) - 1.0) < tol + assert abs(min(mesh.points[:, 0]) + 0.0) < tol + assert abs(max(mesh.points[:, 1]) - 1.0) < tol + assert abs(min(mesh.points[:, 1]) + 0.0) < tol + assert abs(max(mesh.points[:, 2]) - 1.0) < tol + assert abs(min(mesh.points[:, 2]) + 0.0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 1.0 / 6.0) < tol + + +def test_torus(): + major_radius = 1.0 + minor_radius = 0.5 + s0 = pygalmesh.Torus(major_radius, minor_radius) + mesh = pygalmesh.generate_mesh(s0, max_cell_circumradius=0.1, verbose=False) + + tol = 1.0e-2 + radii_sum = major_radius + minor_radius + assert abs(max(mesh.points[:, 0]) - radii_sum) < tol + assert abs(min(mesh.points[:, 0]) + radii_sum) < tol + assert abs(max(mesh.points[:, 1]) - radii_sum) < tol + assert abs(min(mesh.points[:, 1]) + radii_sum) < tol + assert abs(max(mesh.points[:, 2]) - minor_radius) < tol + assert abs(min(mesh.points[:, 2]) + minor_radius) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + ref_vol = (numpy.pi * minor_radius * minor_radius) * (2 * numpy.pi * major_radius) + assert abs(vol - ref_vol) < 1.0e-1 + + +def test_custom_function(): + class Hyperboloid(pygalmesh.DomainBase): + def __init__(self, max_edge_size_at_feature_edges): + super().__init__() + self.z0 = -1.0 + self.z1 = 1.0 + self.waist_radius = 0.5 + self.max_edge_size_at_feature_edges = max_edge_size_at_feature_edges + + def eval(self, x): + if self.z0 < x[2] and x[2] < self.z1: + return x[0] ** 2 + x[1] ** 2 - (x[2] ** 2 + self.waist_radius) ** 2 + return 1.0 + + def get_bounding_sphere_squared_radius(self): + z_max = max(abs(self.z0), abs(self.z1)) + r_max = z_max ** 2 + self.waist_radius + return r_max * r_max + z_max * z_max + + def get_features(self): + radius0 = self.z0 ** 2 + self.waist_radius + n0 = int(2 * numpy.pi * radius0 / self.max_edge_size_at_feature_edges) + circ0 = [ + [ + radius0 * numpy.cos((2 * numpy.pi * k) / n0), + radius0 * numpy.sin((2 * numpy.pi * k) / n0), + self.z0, + ] + for k in range(n0) + ] + circ0.append(circ0[0]) + + radius1 = self.z1 ** 2 + self.waist_radius + n1 = int(2 * numpy.pi * radius1 / self.max_edge_size_at_feature_edges) + circ1 = [ + [ + radius1 * numpy.cos((2 * numpy.pi * k) / n1), + radius1 * numpy.sin((2 * numpy.pi * k) / n1), + self.z1, + ] + for k in range(n1) + ] + circ1.append(circ1[0]) + return [circ0, circ1] + + max_edge_size_at_feature_edges = 0.12 + d = Hyperboloid(max_edge_size_at_feature_edges) + + mesh = pygalmesh.generate_mesh( + d, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + verbose=False, + ) + + # TODO check the reference values + tol = 1.0e-1 + assert abs(max(mesh.points[:, 0]) - 1.4) < tol + assert abs(min(mesh.points[:, 0]) + 1.4) < tol + assert abs(max(mesh.points[:, 1]) - 1.4) < tol + assert abs(min(mesh.points[:, 1]) + 1.4) < tol + assert abs(max(mesh.points[:, 2]) - 1.0) < tol + assert abs(min(mesh.points[:, 2]) + 1.0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 2 * numpy.pi * 47.0 / 60.0) < 0.16 + + +def test_scaling(): + alpha = 1.3 + s = pygalmesh.Scale(pygalmesh.Cuboid([0, 0, 0], [1, 2, 3]), alpha) + mesh = pygalmesh.generate_mesh( + s, + max_cell_circumradius=0.2, + max_edge_size_at_feature_edges=0.1, + verbose=False, + ) + + tol = 1.0e-2 + assert abs(max(mesh.points[:, 0]) - 1 * alpha) < tol + assert abs(min(mesh.points[:, 0]) + 0.0) < tol + assert abs(max(mesh.points[:, 1]) - 2 * alpha) < tol + assert abs(min(mesh.points[:, 1]) + 0.0) < tol + assert abs(max(mesh.points[:, 2]) - 3 * alpha) < tol + assert abs(min(mesh.points[:, 2]) + 0.0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 6.0 * alpha ** 3) < tol + + +def test_stretch(): + alpha = 2.0 + s = pygalmesh.Stretch(pygalmesh.Cuboid([0, 0, 0], [1, 2, 3]), [alpha, 0.0, 0.0]) + mesh = pygalmesh.generate_mesh( + s, + max_cell_circumradius=0.2, + max_edge_size_at_feature_edges=0.2, + verbose=False, + ) + + tol = 1.0e-2 + assert abs(max(mesh.points[:, 0]) - alpha) < tol + assert abs(min(mesh.points[:, 0]) + 0.0) < tol + assert abs(max(mesh.points[:, 1]) - 2.0) < tol + assert abs(min(mesh.points[:, 1]) + 0.0) < tol + assert abs(max(mesh.points[:, 2]) - 3.0) < tol + assert abs(min(mesh.points[:, 2]) + 0.0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 12.0) < tol + + +def test_rotation(): + s0 = pygalmesh.Rotate( + pygalmesh.Cuboid([0, 0, 0], [1, 2, 3]), [1.0, 0.0, 0.0], numpy.pi / 12.0 + ) + mesh = pygalmesh.generate_mesh( + s0, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=0.1, + verbose=False, + ) + + tol = 1.0e-2 + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 6.0) < tol + + +def test_translation(): + s0 = pygalmesh.Translate(pygalmesh.Cuboid([0, 0, 0], [1, 2, 3]), [1.0, 0.0, 0.0]) + mesh = pygalmesh.generate_mesh( + s0, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=0.1, + verbose=False, + ) + + tol = 1.0e-2 + assert abs(max(mesh.points[:, 0]) - 2.0) < tol + assert abs(min(mesh.points[:, 0]) - 1.0) < tol + assert abs(max(mesh.points[:, 1]) - 2.0) < tol + assert abs(min(mesh.points[:, 1]) + 0.0) < tol + assert abs(max(mesh.points[:, 2]) - 3.0) < tol + assert abs(min(mesh.points[:, 2]) + 0.0) < tol + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 6.0) < tol + + +def test_extrude(): + p = pygalmesh.Polygon2D([[-0.5, -0.3], [0.5, -0.3], [0.0, 0.5]]) + domain = pygalmesh.Extrude(p, [0.0, 0.3, 1.0]) + mesh = pygalmesh.generate_mesh( + domain, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=0.1, + verbose=False, + ) + + tol = 1.0e-3 + assert abs(max(mesh.points[:, 0]) - 0.5) < tol + assert abs(min(mesh.points[:, 0]) + 0.5) < tol + assert abs(max(mesh.points[:, 1]) - 0.8) < tol + assert abs(min(mesh.points[:, 1]) + 0.3) < tol + # Relax tolerance for debian, see + assert abs(max(mesh.points[:, 2]) - 1.0) < 1.1e-3 + assert abs(min(mesh.points[:, 2]) + 0.0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 0.4) < tol + + +def test_extrude_rotate(): + p = pygalmesh.Polygon2D([[-0.5, -0.3], [0.5, -0.3], [0.0, 0.5]]) + max_edge_size_at_feature_edges = 0.1 + domain = pygalmesh.Extrude( + p, + [0.0, 0.0, 1.0], + 0.5 * 3.14159265359, + max_edge_size_at_feature_edges, + ) + mesh = pygalmesh.generate_mesh( + domain, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + verbose=False, + ) + + tol = 1.0e-3 + assert abs(max(mesh.points[:, 0]) - 0.583012701892) < tol + assert abs(min(mesh.points[:, 0]) + 0.5) < tol + assert abs(max(mesh.points[:, 1]) - 0.5) < tol + assert abs(min(mesh.points[:, 1]) + 0.583012701892) < tol + assert abs(max(mesh.points[:, 2]) - 1.0) < tol + assert abs(min(mesh.points[:, 2]) + 0.0) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 0.4) < 0.05 + + +def test_ring_extrude(): + p = pygalmesh.Polygon2D([[0.5, -0.3], [1.5, -0.3], [1.0, 0.5]]) + max_edge_size_at_feature_edges = 0.1 + domain = pygalmesh.RingExtrude(p, max_edge_size_at_feature_edges) + mesh = pygalmesh.generate_mesh( + domain, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + verbose=False, + ) + + tol = 1.0e-2 + assert abs(max(mesh.points[:, 0]) - 1.5) < tol + assert abs(min(mesh.points[:, 0]) + 1.5) < tol + assert abs(max(mesh.points[:, 1]) - 1.5) < tol + assert abs(min(mesh.points[:, 1]) + 1.5) < tol + assert abs(max(mesh.points[:, 2]) - 0.5) < tol + assert abs(min(mesh.points[:, 2]) + 0.3) < tol + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 2 * numpy.pi * 0.4) < 0.05 + + +def test_heart(): + class Heart(pygalmesh.DomainBase): + def __init__(self, max_edge_size_at_feature_edges): + super().__init__() + + def eval(self, x): + return ( + (x[0] ** 2 + 9.0 / 4.0 * x[1] ** 2 + x[2] ** 2 - 1) ** 3 + - x[0] ** 2 * x[2] ** 3 + - 9.0 / 80.0 * x[1] ** 2 * x[2] ** 3 + ) + + def get_bounding_sphere_squared_radius(self): + return 10.0 + + max_edge_size_at_feature_edges = 0.1 + d = Heart(max_edge_size_at_feature_edges) + + mesh = pygalmesh.generate_mesh( + d, + max_cell_circumradius=0.1, + max_edge_size_at_feature_edges=max_edge_size_at_feature_edges, + # odt=True, + # lloyd=True, + # verbose=True + ) + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + ref = 3.3180194961823872 + assert abs(vol - ref) < 1.0e-3 * ref + + +def test_halfspace(): + c = pygalmesh.Cuboid([0, 0, 0], [1, 1, 1]) + s = pygalmesh.HalfSpace([1.0, 2.0, 3.0], 1.0, 2.0) + u = pygalmesh.Intersection([c, s]) + + mesh = pygalmesh.generate_mesh( + u, + max_cell_circumradius=0.2, + max_edge_size_at_feature_edges=0.2, + verbose=False, + ) + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 1 / 750) < 1.0e-3 + + +def test_ball_with_sizing_field(): + mesh = pygalmesh.generate_mesh( + pygalmesh.Ball([0.0, 0.0, 0.0], 1.0), + min_facet_angle=30.0, + max_radius_surface_delaunay_ball=0.1, + max_facet_distance=0.025, + max_circumradius_edge_ratio=2.0, + max_cell_circumradius=lambda x: abs(numpy.sqrt(numpy.dot(x, x)) - 0.5) / 5 + + 0.025, + verbose=False, + ) + + assert abs(max(mesh.points[:, 0]) - 1.0) < 0.02 + assert abs(min(mesh.points[:, 0]) + 1.0) < 0.02 + assert abs(max(mesh.points[:, 1]) - 1.0) < 0.02 + assert abs(min(mesh.points[:, 1]) + 1.0) < 0.02 + assert abs(max(mesh.points[:, 2]) - 1.0) < 0.02 + assert abs(min(mesh.points[:, 2]) + 1.0) < 0.02 + + vol = sum(helpers.compute_volumes(mesh.points, mesh.get_cells_type("tetra"))) + assert abs(vol - 4.0 / 3.0 * numpy.pi) < 0.15 + + +if __name__ == "__main__": + test_ball() + # test_ball_with_sizing_field() diff --git a/tox.ini b/tox.ini new file mode 100644 index 0000000..9554e13 --- /dev/null +++ b/tox.ini @@ -0,0 +1,11 @@ +[tox] +envlist = py3 +isolated_build = True + +[testenv] +deps = + exdown + pytest + pytest-cov +commands = + pytest --cov {envsitepackagesdir}/pygalmesh --cov-report xml --cov-report term -- 2.30.2

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