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<!DOCTYPE html>
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<title>Microgen modules — Microgen 2.0.0b1 documentation</title>
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Microgen
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<p class="caption" role="heading"><span class="caption-text">Introduction</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="Overview.html">Overview</a><ul>
<li class="toctree-l2"><a class="reference internal" href="Overview.html#brief-examples">Brief examples</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Install.html">Install</a><ul>
<li class="toctree-l2"><a class="reference internal" href="Install.html#with-pip">With pip</a></li>
<li class="toctree-l2"><a class="reference internal" href="Install.html#with-conda">With conda</a></li>
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<li class="toctree-l1"><a class="reference internal" href="quick_start.html">Quick-Start Guide</a><ul>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#first-steps">First Steps</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#creating-a-basic-tpms-shape">Creating a Basic TPMS Shape</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#tpms-part-types">TPMS Part Types</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#creating-basic-shapes">Creating Basic Shapes</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#generating-cad-geometry">Generating CAD Geometry</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#exporting-results">Exporting Results</a></li>
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<li class="toctree-l1"><a class="reference internal" href="tutorials.html">Tutorials</a><ul>
<li class="toctree-l2"><a class="reference internal" href="tutorials.html#basic-shapes">Basic Shapes</a><ul>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#box">Box</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#sphere">Sphere</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#cylinder">Cylinder</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#ellipsoid">Ellipsoid</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#capsule">Capsule</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#extruded-polygon">Extruded Polygon</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="tutorials.html#tpms-surfaces">TPMS Surfaces</a><ul>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#available-surface-functions">Available Surface Functions</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#tpms-examples">TPMS Examples</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#using-density-instead-of-offset">Using Density Instead of Offset</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#spherical-tpms">Spherical TPMS</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#cylindrical-tpms">Cylindrical TPMS</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="tutorials.html#d-operations">3D Operations</a><ul>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#repeat">Repeat</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#raster">Raster</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="tutorials.html#meshing">Meshing</a><ul>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#regular-mesh-with-gmsh">Regular Mesh with Gmsh</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#periodic-mesh">Periodic Mesh</a></li>
<li class="toctree-l3"><a class="reference internal" href="tutorials.html#remeshing-with-mmg">Remeshing with Mmg</a></li>
</ul>
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<li class="toctree-l2"><a class="reference internal" href="tutorials.html#further-resources">Further Resources</a></li>
</ul>
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</ul>
<p class="caption" role="heading"><span class="caption-text">Documentation</span></p>
<ul class="current">
<li class="toctree-l1 current"><a class="reference internal" href="Documentation.html">Microgen API</a><ul class="current">
<li class="toctree-l2 current"><a class="current reference internal" href="#">Microgen modules</a><ul>
<li class="toctree-l3"><a class="reference internal" href="#module-microgen.phase">Phase module</a><ul>
<li class="toctree-l4"><a class="reference internal" href="#microgen.phase.Phase"><code class="docutils literal notranslate"><span class="pre">Phase</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="#module-microgen.operations">Operations</a><ul>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.cut_phase_by_shape_list"><code class="docutils literal notranslate"><span class="pre">cut_phase_by_shape_list()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.cut_phases"><code class="docutils literal notranslate"><span class="pre">cut_phases()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.cut_phases_by_shape"><code class="docutils literal notranslate"><span class="pre">cut_phases_by_shape()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.cut_shapes"><code class="docutils literal notranslate"><span class="pre">cut_shapes()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.fuse_shapes"><code class="docutils literal notranslate"><span class="pre">fuse_shapes()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.raster_phase"><code class="docutils literal notranslate"><span class="pre">raster_phase()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.repeat_polydata"><code class="docutils literal notranslate"><span class="pre">repeat_polydata()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.repeat_shape"><code class="docutils literal notranslate"><span class="pre">repeat_shape()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.rescale"><code class="docutils literal notranslate"><span class="pre">rescale()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.rotate"><code class="docutils literal notranslate"><span class="pre">rotate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.operations.rotate_euler"><code class="docutils literal notranslate"><span class="pre">rotate_euler()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="#module-microgen.rve">Rve</a><ul>
<li class="toctree-l4"><a class="reference internal" href="#microgen.rve.Rve"><code class="docutils literal notranslate"><span class="pre">Rve</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="#module-microgen.periodic">Periodic</a><ul>
<li class="toctree-l4"><a class="reference internal" href="#microgen.periodic.periodic_split_and_translate"><code class="docutils literal notranslate"><span class="pre">periodic_split_and_translate()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="#module-microgen.mesh">Mesh</a><ul>
<li class="toctree-l4"><a class="reference internal" href="#microgen.mesh.OutputMeshNotPeriodicError"><code class="docutils literal notranslate"><span class="pre">OutputMeshNotPeriodicError</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.mesh.is_periodic"><code class="docutils literal notranslate"><span class="pre">is_periodic()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.mesh.mesh"><code class="docutils literal notranslate"><span class="pre">mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.mesh.mesh_periodic"><code class="docutils literal notranslate"><span class="pre">mesh_periodic()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="#module-microgen.remesh">Remesh</a><ul>
<li class="toctree-l4"><a class="reference internal" href="#microgen.remesh.InputMeshNotPeriodicError"><code class="docutils literal notranslate"><span class="pre">InputMeshNotPeriodicError</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.remesh.OutputMeshNotPeriodicError"><code class="docutils literal notranslate"><span class="pre">OutputMeshNotPeriodicError</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.remesh.remesh_keeping_boundaries_for_fem"><code class="docutils literal notranslate"><span class="pre">remesh_keeping_boundaries_for_fem()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="#module-microgen.external">External</a><ul>
<li class="toctree-l4"><a class="reference internal" href="#microgen.external.Mmg"><code class="docutils literal notranslate"><span class="pre">Mmg</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.external.MmgError"><code class="docutils literal notranslate"><span class="pre">MmgError</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="#microgen.external.Neper"><code class="docutils literal notranslate"><span class="pre">Neper</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="microgen.shape.html">microgen.shape package</a><ul>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#shape-microgen-shape">Shape (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Box"><code class="docutils literal notranslate"><span class="pre">Box</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Box.generate_cad"><code class="docutils literal notranslate"><span class="pre">Box.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Box.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Box.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Capsule"><code class="docutils literal notranslate"><span class="pre">Capsule</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Capsule.generate_cad"><code class="docutils literal notranslate"><span class="pre">Capsule.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Capsule.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Capsule.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Cylinder"><code class="docutils literal notranslate"><span class="pre">Cylinder</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Cylinder.generate_cad"><code class="docutils literal notranslate"><span class="pre">Cylinder.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Cylinder.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Cylinder.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.CylindricalTpms"><code class="docutils literal notranslate"><span class="pre">CylindricalTpms</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Ellipsoid"><code class="docutils literal notranslate"><span class="pre">Ellipsoid</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Ellipsoid.generate_cad"><code class="docutils literal notranslate"><span class="pre">Ellipsoid.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Ellipsoid.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Ellipsoid.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.ExtrudedPolygon"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.ExtrudedPolygon.generate_cad"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.ExtrudedPolygon.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.GradedInfill"><code class="docutils literal notranslate"><span class="pre">GradedInfill</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Infill"><code class="docutils literal notranslate"><span class="pre">Infill</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Infill.lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Infill.lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Infill.sheet"><code class="docutils literal notranslate"><span class="pre">Infill.sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Infill.upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Infill.upper_skeletal</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.NormedDistance"><code class="docutils literal notranslate"><span class="pre">NormedDistance</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.NormedDistance.compute_offset"><code class="docutils literal notranslate"><span class="pre">NormedDistance.compute_offset()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Polyhedron"><code class="docutils literal notranslate"><span class="pre">Polyhedron</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Polyhedron.generate_cad"><code class="docutils literal notranslate"><span class="pre">Polyhedron.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Polyhedron.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Polyhedron.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape"><code class="docutils literal notranslate"><span class="pre">Shape</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.bounds"><code class="docutils literal notranslate"><span class="pre">Shape.bounds</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.center"><code class="docutils literal notranslate"><span class="pre">Shape.center</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.evaluate"><code class="docutils literal notranslate"><span class="pre">Shape.evaluate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.func"><code class="docutils literal notranslate"><span class="pre">Shape.func</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.generate_cad"><code class="docutils literal notranslate"><span class="pre">Shape.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Shape.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Shape.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.orientation"><code class="docutils literal notranslate"><span class="pre">Shape.orientation</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.require_func"><code class="docutils literal notranslate"><span class="pre">Shape.require_func()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.rotate"><code class="docutils literal notranslate"><span class="pre">Shape.rotate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.scale"><code class="docutils literal notranslate"><span class="pre">Shape.scale()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.smooth_difference"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_difference()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.smooth_intersection"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_intersection()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.smooth_union"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_union()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.translate"><code class="docutils literal notranslate"><span class="pre">Shape.translate()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Sphere"><code class="docutils literal notranslate"><span class="pre">Sphere</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Sphere.generate_cad"><code class="docutils literal notranslate"><span class="pre">Sphere.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Sphere.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Sphere.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.SphericalTpms"><code class="docutils literal notranslate"><span class="pre">SphericalTpms</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid"><code class="docutils literal notranslate"><span class="pre">Spinodoid</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.generate_cad"><code class="docutils literal notranslate"><span class="pre">Spinodoid.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Spinodoid.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Spinodoid.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.grid"><code class="docutils literal notranslate"><span class="pre">Spinodoid.grid</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.grid_solid"><code class="docutils literal notranslate"><span class="pre">Spinodoid.grid_solid</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.surface"><code class="docutils literal notranslate"><span class="pre">Spinodoid.surface</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Sweep"><code class="docutils literal notranslate"><span class="pre">Sweep</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms"><code class="docutils literal notranslate"><span class="pre">Tpms</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.as_lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.as_lower_skeletal()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.as_sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.as_sheet()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.as_surface"><code class="docutils literal notranslate"><span class="pre">Tpms.as_surface()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.as_upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.as_upper_skeletal()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.generate_cad"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.grid_lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.grid_sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.grid_upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_upper_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.offset"><code class="docutils literal notranslate"><span class="pre">Tpms.offset</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.offset_from_density"><code class="docutils literal notranslate"><span class="pre">Tpms.offset_from_density()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.raw_field"><code class="docutils literal notranslate"><span class="pre">Tpms.raw_field</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.skeletals"><code class="docutils literal notranslate"><span class="pre">Tpms.skeletals</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.surface"><code class="docutils literal notranslate"><span class="pre">Tpms.surface</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.upper_skeletal</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.batch_smooth_union"><code class="docutils literal notranslate"><span class="pre">batch_smooth_union()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.from_field"><code class="docutils literal notranslate"><span class="pre">from_field()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.new_geometry"><code class="docutils literal notranslate"><span class="pre">new_geometry()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#basic-geometry-microgen-shape-shape">Basic Geometry (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.shape</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape"><code class="docutils literal notranslate"><span class="pre">Shape</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.bounds"><code class="docutils literal notranslate"><span class="pre">Shape.bounds</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.center"><code class="docutils literal notranslate"><span class="pre">Shape.center</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.evaluate"><code class="docutils literal notranslate"><span class="pre">Shape.evaluate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.func"><code class="docutils literal notranslate"><span class="pre">Shape.func</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.generate_cad"><code class="docutils literal notranslate"><span class="pre">Shape.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Shape.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Shape.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.orientation"><code class="docutils literal notranslate"><span class="pre">Shape.orientation</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.require_func"><code class="docutils literal notranslate"><span class="pre">Shape.require_func()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.rotate"><code class="docutils literal notranslate"><span class="pre">Shape.rotate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.scale"><code class="docutils literal notranslate"><span class="pre">Shape.scale()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.smooth_difference"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_difference()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.smooth_intersection"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_intersection()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.smooth_union"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_union()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.translate"><code class="docutils literal notranslate"><span class="pre">Shape.translate()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.ShellCreationError"><code class="docutils literal notranslate"><span class="pre">ShellCreationError</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#box-microgen-shape-box">Box (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.box</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.box.Box"><code class="docutils literal notranslate"><span class="pre">Box</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.box.Box.generate_cad"><code class="docutils literal notranslate"><span class="pre">Box.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.box.Box.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Box.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#capsule-microgen-shape-capsule">Capsule (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.capsule</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.capsule.Capsule"><code class="docutils literal notranslate"><span class="pre">Capsule</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.capsule.Capsule.generate_cad"><code class="docutils literal notranslate"><span class="pre">Capsule.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.capsule.Capsule.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Capsule.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#cylinder-microgen-shape-cylinder">Cylinder (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.cylinder</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.cylinder.Cylinder"><code class="docutils literal notranslate"><span class="pre">Cylinder</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.cylinder.Cylinder.generate_cad"><code class="docutils literal notranslate"><span class="pre">Cylinder.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.cylinder.Cylinder.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Cylinder.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#ellipsoid-microgen-shape-ellipsoid">Ellipsoid (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.ellipsoid</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.ellipsoid.Ellipsoid"><code class="docutils literal notranslate"><span class="pre">Ellipsoid</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.ellipsoid.Ellipsoid.generate_cad"><code class="docutils literal notranslate"><span class="pre">Ellipsoid.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.ellipsoid.Ellipsoid.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Ellipsoid.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#extruded-polygon-microgen-shape-extruded-polygon">Extruded Polygon (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.extruded_polygon</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.extruded_polygon.ExtrudedPolygon"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.extruded_polygon.ExtrudedPolygon.generate_cad"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.extruded_polygon.ExtrudedPolygon.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#polyhedron-microgen-shape-polyhedron">Polyhedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.polyhedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.polyhedron.Polyhedron"><code class="docutils literal notranslate"><span class="pre">Polyhedron</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.polyhedron.Polyhedron.generate_cad"><code class="docutils literal notranslate"><span class="pre">Polyhedron.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.polyhedron.Polyhedron.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Polyhedron.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.polyhedron.read_obj"><code class="docutils literal notranslate"><span class="pre">read_obj()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#sphere-microgen-shape-sphere">Sphere (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.sphere</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.sphere.Sphere"><code class="docutils literal notranslate"><span class="pre">Sphere</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.sphere.Sphere.generate_cad"><code class="docutils literal notranslate"><span class="pre">Sphere.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.sphere.Sphere.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Sphere.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#tpms-microgen-shape-tpms">TPMS (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.tpms</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.CylindricalTpms"><code class="docutils literal notranslate"><span class="pre">CylindricalTpms</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.GradedInfill"><code class="docutils literal notranslate"><span class="pre">GradedInfill</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Infill"><code class="docutils literal notranslate"><span class="pre">Infill</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Infill.lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Infill.lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Infill.sheet"><code class="docutils literal notranslate"><span class="pre">Infill.sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Infill.upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Infill.upper_skeletal</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.ShellCreationError"><code class="docutils literal notranslate"><span class="pre">ShellCreationError</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.SphericalTpms"><code class="docutils literal notranslate"><span class="pre">SphericalTpms</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Sweep"><code class="docutils literal notranslate"><span class="pre">Sweep</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms"><code class="docutils literal notranslate"><span class="pre">Tpms</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.as_lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.as_lower_skeletal()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.as_sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.as_sheet()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.as_surface"><code class="docutils literal notranslate"><span class="pre">Tpms.as_surface()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.as_upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.as_upper_skeletal()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.generate_cad"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.grid_lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.grid_sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.grid_upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_upper_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.offset"><code class="docutils literal notranslate"><span class="pre">Tpms.offset</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.offset_from_density"><code class="docutils literal notranslate"><span class="pre">Tpms.offset_from_density()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.raw_field"><code class="docutils literal notranslate"><span class="pre">Tpms.raw_field</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.skeletals"><code class="docutils literal notranslate"><span class="pre">Tpms.skeletals</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.surface"><code class="docutils literal notranslate"><span class="pre">Tpms.surface</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.upper_skeletal</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#implicit-operations-microgen-shape-implicit-ops">Implicit Operations (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.implicit_ops</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.batch_smooth_union"><code class="docutils literal notranslate"><span class="pre">batch_smooth_union()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.blend"><code class="docutils literal notranslate"><span class="pre">blend()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.box"><code class="docutils literal notranslate"><span class="pre">box()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.complement"><code class="docutils literal notranslate"><span class="pre">complement()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.difference"><code class="docutils literal notranslate"><span class="pre">difference()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.from_field"><code class="docutils literal notranslate"><span class="pre">from_field()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.intersection"><code class="docutils literal notranslate"><span class="pre">intersection()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.normalize_to_sdf"><code class="docutils literal notranslate"><span class="pre">normalize_to_sdf()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.repeat"><code class="docutils literal notranslate"><span class="pre">repeat()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.shell"><code class="docutils literal notranslate"><span class="pre">shell()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.smooth_difference"><code class="docutils literal notranslate"><span class="pre">smooth_difference()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.smooth_intersection"><code class="docutils literal notranslate"><span class="pre">smooth_intersection()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.smooth_union"><code class="docutils literal notranslate"><span class="pre">smooth_union()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.union"><code class="docutils literal notranslate"><span class="pre">union()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.fischer_koch_s"><code class="docutils literal notranslate"><span class="pre">fischer_koch_s()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.gyroid"><code class="docutils literal notranslate"><span class="pre">gyroid()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb"><code class="docutils literal notranslate"><span class="pre">honeycomb()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_gyroid"><code class="docutils literal notranslate"><span class="pre">honeycomb_gyroid()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_lidinoid"><code class="docutils literal notranslate"><span class="pre">honeycomb_lidinoid()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_schoen_iwp"><code class="docutils literal notranslate"><span class="pre">honeycomb_schoen_iwp()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_schwarz_d"><code class="docutils literal notranslate"><span class="pre">honeycomb_schwarz_d()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_schwarz_p"><code class="docutils literal notranslate"><span class="pre">honeycomb_schwarz_p()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.lidinoid"><code class="docutils literal notranslate"><span class="pre">lidinoid()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.neovius"><code class="docutils literal notranslate"><span class="pre">neovius()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.pmy"><code class="docutils literal notranslate"><span class="pre">pmy()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.schoen_frd"><code class="docutils literal notranslate"><span class="pre">schoen_frd()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.schoen_iwp"><code class="docutils literal notranslate"><span class="pre">schoen_iwp()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.schwarz_d"><code class="docutils literal notranslate"><span class="pre">schwarz_d()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.schwarz_p"><code class="docutils literal notranslate"><span class="pre">schwarz_p()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.split_p"><code class="docutils literal notranslate"><span class="pre">split_p()</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="microgen.shape.strut_lattice.html">microgen.shape.strut_lattice subpackage</a><ul>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#abstract-lattice-microgen-shape-strut-lattice-abstract-lattice">Abstract Lattice (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.abstract_lattice</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice"><code class="docutils literal notranslate"><span class="pre">AbstractLattice</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.base_vertices"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.base_vertices</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.cad_shape"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.cad_shape</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.generate_cad"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.mesh_for_fem"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.mesh_for_fem()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.strut_heights"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.strut_heights</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.strut_number"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.strut_number</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.strut_vertex_pairs"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.strut_vertex_pairs</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.volume"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.volume</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.vtk_shape"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.vtk_shape</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#body-centered-cubic-microgen-shape-strut-lattice-body-centered-cubic">Body Centered Cubic (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.body_centered_cubic</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.body_centered_cubic.BodyCenteredCubic"><code class="docutils literal notranslate"><span class="pre">BodyCenteredCubic</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#cubic-microgen-shape-strut-lattice-cubic">Cubic (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.cubic</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.cubic.Cubic"><code class="docutils literal notranslate"><span class="pre">Cubic</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#cuboctahedron-microgen-shape-strut-lattice-cuboctahedron">Cuboctahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.cuboctahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.cuboctahedron.Cuboctahedron"><code class="docutils literal notranslate"><span class="pre">Cuboctahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#custom-lattice-microgen-shape-strut-lattice-custom-lattice">Custom Lattice (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.custom_lattice</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.custom_lattice.CustomLattice"><code class="docutils literal notranslate"><span class="pre">CustomLattice</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#diamond-microgen-shape-strut-lattice-diamond">Diamond (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.diamond</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.diamond.Diamond"><code class="docutils literal notranslate"><span class="pre">Diamond</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#face-centered-cubic-microgen-shape-strut-lattice-face-centered-cubic">Face Centered Cubic (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.face_centered_cubic</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.face_centered_cubic.FaceCenteredCubic"><code class="docutils literal notranslate"><span class="pre">FaceCenteredCubic</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#octahedron-microgen-shape-strut-lattice-octahedron">Octahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.octahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.octahedron.Octahedron"><code class="docutils literal notranslate"><span class="pre">Octahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#octet-truss-microgen-shape-strut-lattice-octet-truss">Octet-truss (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.octet_truss</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.octet_truss.OctetTruss"><code class="docutils literal notranslate"><span class="pre">OctetTruss</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#rhombic-cuboctahedron-microgen-shape-strut-lattice-rhombic-cuboctahedron">Rhombic Cuboctahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.rhombic_cuboctahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.rhombic_cuboctahedron.RhombicCuboctahedron"><code class="docutils literal notranslate"><span class="pre">RhombicCuboctahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#rhombic-dodecahedron-microgen-shape-strut-lattice-rhombic-dodecahedron">Rhombic Dodecahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.rhombic_dodecahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.rhombic_dodecahedron.RhombicDodecahedron"><code class="docutils literal notranslate"><span class="pre">RhombicDodecahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#truncated-cube-microgen-shape-strut-lattice-truncated-cube">Truncated Cube (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.truncated_cube</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.truncated_cube.TruncatedCube"><code class="docutils literal notranslate"><span class="pre">TruncatedCube</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#truncated-cuboctahedron-microgen-shape-strut-lattice-truncated-cuboctahedron">Truncated Cuboctahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.truncated_cuboctahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.truncated_cuboctahedron.TruncatedCuboctahedron"><code class="docutils literal notranslate"><span class="pre">TruncatedCuboctahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#truncated-octahedron-microgen-shape-strut-lattice-truncated-octahedron">Truncated Octahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.truncated_octahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.truncated_octahedron.TruncatedOctahedron"><code class="docutils literal notranslate"><span class="pre">TruncatedOctahedron</span></code></a></li>
</ul>
</li>
</ul>
</li>
</ul>
<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="examples/basic_shapes.html">Geometries</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/basic_shapes.html#basic-shapes">Basic shapes</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/basic_shapes.html#platon-polyhedra">Platon polyhedra</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="examples/lattices.html">Lattices</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/lattices.html#octet-truss">Octet-truss</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/lattices.html#honeycomb">Honeycomb</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/lattices.html#preset-strut-based-lattices">Preset strut-based lattices</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/lattices.html#custom-strut-based-lattices">Custom strut-based lattices</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="examples/tpms.html">Triply Periodic Minimal Surfaces (TPMS)</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/tpms.html#gyroid">Gyroid</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/tpms.html#tpms-available">TPMS available</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/tpms.html#spherical-gyroid">Spherical gyroid</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/tpms.html#shell">Shell</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="examples/3d_operations.html">3D operations</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/3d_operations.html#repeating-unit-geometry">Repeating unit geometry</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/3d_operations.html#raster-ellipsoid">Raster Ellipsoid</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/3d_operations.html#voronoi">Voronoi</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/3d_operations.html#voronoi-gyroid">Voronoi gyroid</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="examples/mesh.html">Mesh</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#id1">Mesh</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#periodic-mesh">Periodic Mesh</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#mmg">mmg</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#mmg-voronoi">mmg Voronoi</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#periodic-remeshing">Periodic remeshing</a></li>
</ul>
</li>
</ul>
</div>
</div>
</nav>
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<section id="microgen-modules">
<h1>Microgen modules<a class="headerlink" href="#microgen-modules" title="Link to this heading"></a></h1>
<section id="module-microgen.phase">
<span id="phase-module"></span><h2>Phase module<a class="headerlink" href="#module-microgen.phase" title="Link to this heading"></a></h2>
<p>Phase class: a collection of OCCT solids belonging to the same phase.</p>
<p>The CAD path goes through OCCT directly via <code class="docutils literal notranslate"><span class="pre">OCP</span></code> (installed as the
<code class="docutils literal notranslate"><span class="pre">[cad]</span></code> extra — <code class="docutils literal notranslate"><span class="pre">cadquery-ocp-novtk</span></code>); no <code class="docutils literal notranslate"><span class="pre">cadquery</span></code> anywhere. Shapes are
stored as <code class="xref py py-class docutils literal notranslate"><span class="pre">microgen.cad.CadShape</span></code> and solids as raw OCCT
<code class="docutils literal notranslate"><span class="pre">TopoDS_Solid</span></code>.</p>
<dl class="py class">
<dt class="sig sig-object py" id="microgen.phase.Phase">
<span class="property"><span class="k"><span class="pre">class</span></span><span class="w"> </span></span><span class="sig-prename descclassname"><span class="pre">microgen.phase.</span></span><span class="sig-name descname"><span class="pre">Phase</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">ShapeLike</span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">None</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">solids</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">TopoDS_Solid</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">None</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">center</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">None</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">orientation</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">None</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#microgen.phase.Phase" title="Link to this definition"></a></dt>
<dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></p>
<p>Phase class: a collection of solids with shared material properties.</p>
<p>Exposes:</p>
<ul class="simple">
<li><p><a class="reference internal" href="#microgen.phase.Phase.center_of_mass" title="microgen.phase.Phase.center_of_mass"><code class="xref py py-attr docutils literal notranslate"><span class="pre">center_of_mass</span></code></a></p></li>
<li><p><a class="reference internal" href="#microgen.phase.Phase.inertia_matrix" title="microgen.phase.Phase.inertia_matrix"><code class="xref py py-attr docutils literal notranslate"><span class="pre">inertia_matrix</span></code></a></p></li>
<li><p><a class="reference internal" href="#microgen.phase.Phase.shape" title="microgen.phase.Phase.shape"><code class="xref py py-attr docutils literal notranslate"><span class="pre">shape</span></code></a> (a <code class="xref py py-class docutils literal notranslate"><span class="pre">CadShape</span></code>)</p></li>
<li><p><a class="reference internal" href="#microgen.phase.Phase.solids" title="microgen.phase.Phase.solids"><code class="xref py py-attr docutils literal notranslate"><span class="pre">solids</span></code></a> (a list of raw OCCT <code class="docutils literal notranslate"><span class="pre">TopoDS_Solid</span></code>)</p></li>
</ul>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>shape</strong> – a <code class="xref py py-class docutils literal notranslate"><span class="pre">CadShape</span></code> or raw <code class="docutils literal notranslate"><span class="pre">TopoDS_Shape</span></code></p></li>
<li><p><strong>solids</strong> – list of raw OCCT solids</p></li>
<li><p><strong>center</strong> – center</p></li>
<li><p><strong>orientation</strong> – orientation</p></li>
</ul>
</dd>
</dl>
<dl class="py property">
<dt class="sig sig-object py" id="microgen.phase.Phase.center_of_mass">
<span class="property"><span class="k"><span class="pre">property</span></span><span class="w"> </span></span><span class="sig-name descname"><span class="pre">center_of_mass</span></span><span class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">ndarray</span><span class="p"><span class="pre">[</span></span><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">Any</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="p"><span class="pre">...</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">dtype</span><span class="p"><span class="pre">[</span></span><span class="pre">float64</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><a class="headerlink" href="#microgen.phase.Phase.center_of_mass" title="Link to this definition"></a></dt>
<dd><p>Return the center of ‘mass’ of the phase.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>compute</strong> – if False and center_of_mass already exists, does not compute it (use carefully)</p>
</dd>
</dl>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.generate_phase_per_raster">
<span class="property"><span class="k"><span class="pre">classmethod</span></span><span class="w"> </span></span><span class="sig-name descname"><span class="pre">generate_phase_per_raster</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">solids</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">TopoDS_Solid</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">rve</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">grid</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#microgen.phase.Phase.generate_phase_per_raster" title="Link to this definition"></a></dt>
<dd><p>Raster solids into per-grid-cell Phases.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>solids</strong> – list of OCCT solids</p></li>
<li><p><strong>rve</strong> – RVE divided by the given grid</p></li>
<li><p><strong>grid</strong> – number of divisions in each direction <code class="docutils literal notranslate"><span class="pre">[x,</span> <span class="pre">y,</span> <span class="pre">z]</span></code></p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>list of <a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><code class="xref py py-class docutils literal notranslate"><span class="pre">Phase</span></code></a></p>
</dd>
</dl>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.get_center_of_mass">
<span class="sig-name descname"><span class="pre">get_center_of_mass</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="keyword-only-separator o"><abbr title="Keyword-only parameters separator (PEP 3102)"><span class="pre">*</span></abbr></span></em>, <em class="sig-param"><span class="n"><span class="pre">compute</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">ndarray</span><span class="p"><span class="pre">[</span></span><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">Any</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="p"><span class="pre">...</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">dtype</span><span class="p"><span class="pre">[</span></span><span class="pre">float64</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#microgen.phase.Phase.get_center_of_mass" title="Link to this definition"></a></dt>
<dd><p>Return the center of ‘mass’ of the phase.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>compute</strong> – if False and center_of_mass already exists, does not compute it (use carefully)</p>
</dd>
</dl>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.get_inertia_matrix">
<span class="sig-name descname"><span class="pre">get_inertia_matrix</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="keyword-only-separator o"><abbr title="Keyword-only parameters separator (PEP 3102)"><span class="pre">*</span></abbr></span></em>, <em class="sig-param"><span class="n"><span class="pre">compute</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">ndarray</span><span class="p"><span class="pre">[</span></span><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">Any</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="p"><span class="pre">...</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">dtype</span><span class="p"><span class="pre">[</span></span><span class="pre">float64</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#microgen.phase.Phase.get_inertia_matrix" title="Link to this definition"></a></dt>
<dd><p>Calculate the inertia matrix of the phase.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>compute</strong> – if False and inertia_matrix already exists, does not compute it (use carefully)</p>
</dd>
</dl>
</dd></dl>
<dl class="py property">
<dt class="sig sig-object py" id="microgen.phase.Phase.inertia_matrix">
<span class="property"><span class="k"><span class="pre">property</span></span><span class="w"> </span></span><span class="sig-name descname"><span class="pre">inertia_matrix</span></span><span class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">ndarray</span><span class="p"><span class="pre">[</span></span><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">Any</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="p"><span class="pre">...</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">dtype</span><span class="p"><span class="pre">[</span></span><span class="pre">float64</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><a class="headerlink" href="#microgen.phase.Phase.inertia_matrix" title="Link to this definition"></a></dt>
<dd><p>Calculate the inertia matrix of the phase.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>compute</strong> – if False and inertia_matrix already exists, does not compute it (use carefully)</p>
</dd>
</dl>
</dd></dl>
<dl class="py attribute">
<dt class="sig sig-object py" id="microgen.phase.Phase.num_instances">
<span class="sig-name descname"><span class="pre">num_instances</span></span><span class="property"><span class="w"> </span><span class="p"><span class="pre">=</span></span><span class="w"> </span><span class="pre">0</span></span><a class="headerlink" href="#microgen.phase.Phase.num_instances" title="Link to this definition"></a></dt>
<dd></dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.rasterize">
<span class="sig-name descname"><span class="pre">rasterize</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">rve</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">grid</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="keyword-only-separator o"><abbr title="Keyword-only parameters separator (PEP 3102)"><span class="pre">*</span></abbr></span></em>, <em class="sig-param"><span class="n"><span class="pre">phase_per_raster</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">None</span></span></span><a class="headerlink" href="#microgen.phase.Phase.rasterize" title="Link to this definition"></a></dt>
<dd><p>Raster solids from phase according to the rve divided by the given grid.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>rve</strong> – RVE divided by the given grid</p></li>
<li><p><strong>grid</strong> – number of divisions in each direction [x, y, z]</p></li>
<li><p><strong>phase_per_raster</strong> – if True, returns list of phases</p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>list of Phases if required</p>
</dd>
</dl>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.repeat">
<span class="sig-name descname"><span class="pre">repeat</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">rve</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">grid</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">None</span></span></span><a class="headerlink" href="#microgen.phase.Phase.repeat" title="Link to this definition"></a></dt>
<dd><p>Repeat phase in place on a <code class="docutils literal notranslate"><span class="pre">grid</span></code> within the <code class="docutils literal notranslate"><span class="pre">rve</span></code> periodicity cell.</p>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.repeat_shape">
<span class="property"><span class="k"><span class="pre">static</span></span><span class="w"> </span></span><span class="sig-name descname"><span class="pre">repeat_shape</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">unit_geom</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">ShapeLike</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">rve</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">grid</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">CadShape</span></span></span><a class="headerlink" href="#microgen.phase.Phase.repeat_shape" title="Link to this definition"></a></dt>
<dd><p>Repeat <code class="docutils literal notranslate"><span class="pre">unit_geom</span></code> on a <code class="docutils literal notranslate"><span class="pre">grid</span></code> within the <code class="docutils literal notranslate"><span class="pre">rve</span></code> periodicity cell.</p>
<p>Returns a <code class="xref py py-class docutils literal notranslate"><span class="pre">CadShape</span></code> wrapping an OCCT compound
of translated copies of <code class="docutils literal notranslate"><span class="pre">unit_geom</span></code>.</p>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.rescale">
<span class="sig-name descname"><span class="pre">rescale</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">scale</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">float</span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">None</span></span></span><a class="headerlink" href="#microgen.phase.Phase.rescale" title="Link to this definition"></a></dt>
<dd><p>Rescale phase (in place) by <code class="docutils literal notranslate"><span class="pre">scale</span> <span class="pre">=</span> <span class="pre">(sx,</span> <span class="pre">sy,</span> <span class="pre">sz)</span></code> or a scalar.</p>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.rescale_shape">
<span class="property"><span class="k"><span class="pre">static</span></span><span class="w"> </span></span><span class="sig-name descname"><span class="pre">rescale_shape</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">ShapeLike</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">scale</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">float</span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">CadShape</span></span></span><a class="headerlink" href="#microgen.phase.Phase.rescale_shape" title="Link to this definition"></a></dt>
<dd><p>Rescale <code class="docutils literal notranslate"><span class="pre">shape</span></code> by <code class="docutils literal notranslate"><span class="pre">scale</span></code> = <code class="docutils literal notranslate"><span class="pre">(sx,</span> <span class="pre">sy,</span> <span class="pre">sz)</span></code> (or a scalar).</p>
<p>Preserves the shape’s center of mass — scaling is performed about it.</p>
</dd></dl>
<dl class="py property">
<dt class="sig sig-object py" id="microgen.phase.Phase.shape">
<span class="property"><span class="k"><span class="pre">property</span></span><span class="w"> </span></span><span class="sig-name descname"><span class="pre">shape</span></span><span class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">CadShape</span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">None</span></span><a class="headerlink" href="#microgen.phase.Phase.shape" title="Link to this definition"></a></dt>
<dd><p>Return the shape of the phase as a <code class="xref py py-class docutils literal notranslate"><span class="pre">CadShape</span></code>.</p>
</dd></dl>
<dl class="py property">
<dt class="sig sig-object py" id="microgen.phase.Phase.solids">
<span class="property"><span class="k"><span class="pre">property</span></span><span class="w"> </span></span><span class="sig-name descname"><span class="pre">solids</span></span><span class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">TopoDS_Solid</span><span class="p"><span class="pre">]</span></span></span><a class="headerlink" href="#microgen.phase.Phase.solids" title="Link to this definition"></a></dt>
<dd><p>Return the list of OCCT <code class="docutils literal notranslate"><span class="pre">TopoDS_Solid</span></code> in the phase.</p>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.split_solids">
<span class="sig-name descname"><span class="pre">split_solids</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">rve</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">grid</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">TopoDS_Solid</span><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#microgen.phase.Phase.split_solids" title="Link to this definition"></a></dt>
<dd><p>Split solids from phase according to the rve divided by the given grid.</p>
<p>Each solid is split by the (grid-1) interior planes along each axis;
planes are constructed with <code class="xref py py-func docutils literal notranslate"><span class="pre">microgen.cad.make_plane_face()</span></code> and
applied through OCCT’s <code class="docutils literal notranslate"><span class="pre">BRepAlgoAPI_Splitter</span></code>.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>rve</strong> – RVE divided by the given grid</p></li>
<li><p><strong>grid</strong> – number of divisions in each direction <code class="docutils literal notranslate"><span class="pre">[x,</span> <span class="pre">y,</span> <span class="pre">z]</span></code></p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>list of raw OCCT <code class="docutils literal notranslate"><span class="pre">TopoDS_Solid</span></code></p>
</dd>
</dl>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.phase.Phase.translate">
<span class="sig-name descname"><span class="pre">translate</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">vec</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">None</span></span></span><a class="headerlink" href="#microgen.phase.Phase.translate" title="Link to this definition"></a></dt>
<dd><p>Translate phase by a given vector (in place).</p>
</dd></dl>
</dd></dl>
</section>
<section id="module-microgen.operations">
<span id="operations"></span><h2>Operations<a class="headerlink" href="#module-microgen.operations" title="Link to this heading"></a></h2>
<p>Boolean operations.</p>
<p>All OCP imports are deferred so the module loads cleanly in a mesh-only
install. Functions that use OCCT raise a clear <code class="docutils literal notranslate"><span class="pre">ImportError</span></code> (via
<code class="xref py py-func docutils literal notranslate"><span class="pre">microgen.cad.require_cad()</span></code>) if the <code class="docutils literal notranslate"><span class="pre">[cad]</span></code> extra isn’t installed.</p>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.cut_phase_by_shape_list">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">cut_phase_by_shape_list</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">phase_to_cut</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">shapes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">CadShape</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a></span></span><a class="headerlink" href="#microgen.operations.cut_phase_by_shape_list" title="Link to this definition"></a></dt>
<dd><p>Cut a phase by a list of shapes.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>phase_to_cut</strong> – phase to cut</p></li>
<li><p><strong>shapes</strong> – list of cutting shapes</p></li>
</ul>
</dd>
<dt class="field-even">Return resultCut<span class="colon">:</span></dt>
<dd class="field-even"><p>cut phase</p>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.cut_phases">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">cut_phases</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">phases</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="keyword-only-separator o"><abbr title="Keyword-only parameters separator (PEP 3102)"><span class="pre">*</span></abbr></span></em>, <em class="sig-param"><span class="n"><span class="pre">reverse_order</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#microgen.operations.cut_phases" title="Link to this definition"></a></dt>
<dd><p>Cut list of shapes in the given order (or reverse) and fuse them.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>phases</strong> – list of phases to cut</p></li>
<li><p><strong>reverse_order</strong> – bool, order for cutting shapes, when True: the last shape of the list is not cut</p></li>
</ul>
</dd>
</dl>
<p>:return list of phases</p>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.cut_phases_by_shape">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">cut_phases_by_shape</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">phases</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">cut_obj</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">CadShape</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#microgen.operations.cut_phases_by_shape" title="Link to this definition"></a></dt>
<dd><p>Cut list of phases by a given shape.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>phases</strong> – list of phases to cut</p></li>
<li><p><strong>cut_obj</strong> – cutting object</p></li>
</ul>
</dd>
<dt class="field-even">Return phase_cut<span class="colon">:</span></dt>
<dd class="field-even"><p>final result</p>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.cut_shapes">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">cut_shapes</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shapes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">CadShape</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="keyword-only-separator o"><abbr title="Keyword-only parameters separator (PEP 3102)"><span class="pre">*</span></abbr></span></em>, <em class="sig-param"><span class="n"><span class="pre">reverse_order</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">CadShape</span><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#microgen.operations.cut_shapes" title="Link to this definition"></a></dt>
<dd><p>Cut list of shapes in the given order (or reverse) and fuse them.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>shapes</strong> – list of shapes to cut</p></li>
<li><p><strong>reverse_order</strong> – bool, order for cutting shapes, when True: the last shape of the list is not cut</p></li>
</ul>
</dd>
<dt class="field-even">Return cutted_shapes<span class="colon">:</span></dt>
<dd class="field-even"><p>list of CadShape</p>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.fuse_shapes">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">fuse_shapes</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shapes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">CadShape</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="keyword-only-separator o"><abbr title="Keyword-only parameters separator (PEP 3102)"><span class="pre">*</span></abbr></span></em>, <em class="sig-param"><span class="n"><span class="pre">retain_edges</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">bool</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">CadShape</span></span></span><a class="headerlink" href="#microgen.operations.fuse_shapes" title="Link to this definition"></a></dt>
<dd><p>Fuse all shapes in the list.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>shapes</strong> – list of shapes to fuse</p></li>
<li><p><strong>retain_edges</strong> – retain intersecting edges</p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>fused shape</p>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.raster_phase">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">raster_phase</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">phase</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">rve</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">grid</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="keyword-only-separator o"><abbr title="Keyword-only parameters separator (PEP 3102)"><span class="pre">*</span></abbr></span></em>, <em class="sig-param"><span class="n"><span class="pre">phase_per_raster</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">list</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#microgen.operations.raster_phase" title="Link to this definition"></a></dt>
<dd><p>Raster solids from phase according to the rve divided by the given grid.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>phase</strong> – phase to raster</p></li>
<li><p><strong>rve</strong> – RVE divided by the given grid</p></li>
<li><p><strong>grid</strong> – number of divisions in each direction [x, y, z]</p></li>
<li><p><strong>phase_per_raster</strong> – if True, returns list of phases</p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>Phase or list of Phases</p>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.repeat_polydata">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">repeat_polydata</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">mesh</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">pv.PolyData</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">rve</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">grid</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">pv.PolyData</span></span></span><a class="headerlink" href="#microgen.operations.repeat_polydata" title="Link to this definition"></a></dt>
<dd><p>Repeat mesh in each direction according to the given grid.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>mesh</strong> – pv.PolyData to repeat</p></li>
<li><p><strong>rve</strong> – RVE of the geometry to repeat</p></li>
<li><p><strong>grid</strong> – list of number of geometry repetitions in each direction</p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>pv.PolyData of the repeated geometry</p>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.repeat_shape">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">repeat_shape</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">unit_geom</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">CadShape</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">rve</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">grid</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">CadShape</span></span></span><a class="headerlink" href="#microgen.operations.repeat_shape" title="Link to this definition"></a></dt>
<dd><p>Repeat unit geometry in each direction according to the given grid.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>unit_geom</strong> – Shape to repeat</p></li>
<li><p><strong>rve</strong> – RVE of the geometry to repeat</p></li>
<li><p><strong>grid</strong> – list of number of geometry repetitions in each direction</p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>cq shape of the repeated geometry</p>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.rescale">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">rescale</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">CadShape</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">scale</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">float</span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">float</span><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">CadShape</span></span></span><a class="headerlink" href="#microgen.operations.rescale" title="Link to this definition"></a></dt>
<dd><p>Rescale given object according to scale parameters [dim_x, dim_y, dim_z].</p>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.rotate">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">rotate</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">obj</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">CadShape</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">center</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">npt.NDArray</span><span class="p"><span class="pre">[</span></span><span class="pre">np.float64</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">rotation</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Rotation</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">CadShape</span></span></span><a class="headerlink" href="#microgen.operations.rotate" title="Link to this definition"></a></dt>
<dt class="sig sig-object py">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">rotate</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">obj</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">PolyData</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">center</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">npt.NDArray</span><span class="p"><span class="pre">[</span></span><span class="pre">np.float64</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">rotation</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Rotation</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">PolyData</span></span></span></dt>
<dt class="sig sig-object py">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">rotate</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">obj</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">UnstructuredGrid</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">center</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">npt.NDArray</span><span class="p"><span class="pre">[</span></span><span class="pre">np.float64</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">rotation</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Rotation</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">UnstructuredGrid</span></span></span></dt>
<dd><p>Rotate object according to given rotation.</p>
<p>Supports <code class="xref py py-class docutils literal notranslate"><span class="pre">microgen.cad.CadShape</span></code> and any <code class="xref py py-class docutils literal notranslate"><span class="pre">pyvista.DataSet</span></code>
(<code class="docutils literal notranslate"><span class="pre">PolyData</span></code>, <code class="docutils literal notranslate"><span class="pre">UnstructuredGrid</span></code>, <code class="docutils literal notranslate"><span class="pre">StructuredGrid</span></code>, …) — i.e. any
pyvista mesh exposing <code class="docutils literal notranslate"><span class="pre">rotate_vector</span></code>.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>obj</strong> – Object to rotate</p></li>
<li><p><strong>center</strong> – numpy array (x, y, z)</p></li>
<li><p><strong>rotation</strong> – scipy Rotation object</p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>Rotated object (same type as input)</p>
</dd>
<dt class="field-odd">Raises<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>ValueError</strong> – if object type is not supported</p>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.operations.rotate_euler">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">rotate_euler</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">obj</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">CadShape</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">center</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">npt.NDArray</span><span class="p"><span class="pre">[</span></span><span class="pre">np.float64</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">angles_or_rotation</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">Rotation</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">CadShape</span></span></span><a class="headerlink" href="#microgen.operations.rotate_euler" title="Link to this definition"></a></dt>
<dt class="sig sig-object py">
<span class="sig-prename descclassname"><span class="pre">microgen.operations.</span></span><span class="sig-name descname"><span class="pre">rotate_euler</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">obj</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">PolyData</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">center</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">npt.NDArray</span><span class="p"><span class="pre">[</span></span><span class="pre">np.float64</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">angles_or_rotation</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">float</span><span class="p"><span class="pre">]</span></span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">Rotation</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">PolyData</span></span></span></dt>
<dd><p>Rotate object according to ZXZ Euler angle convention.</p>
<p>Accepts <code class="xref py py-class docutils literal notranslate"><span class="pre">CadShape</span></code> or <code class="xref py py-class docutils literal notranslate"><span class="pre">pyvista.PolyData</span></code>.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>obj</strong> – Object to rotate</p></li>
<li><p><strong>center</strong> – numpy array (x, y, z)</p></li>
<li><p><strong>angles_or_rotation</strong> – list of Euler angles (psi, theta, phi) in
degrees, or a scipy <code class="docutils literal notranslate"><span class="pre">Rotation</span></code> object</p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>Rotated object</p>
</dd>
</dl>
</dd></dl>
</section>
<section id="module-microgen.rve">
<span id="rve"></span><h2>Rve<a class="headerlink" href="#module-microgen.rve" title="Link to this heading"></a></h2>
<p>Representative Volume Element (RVE).</p>
<p>The <code class="docutils literal notranslate"><span class="pre">Rve.box</span></code> attribute is a <code class="xref py py-class docutils literal notranslate"><span class="pre">CadShape</span></code> wrapping an
OCCT box; it is built lazily on first access and requires the <code class="docutils literal notranslate"><span class="pre">[cad]</span></code>
extra (<code class="docutils literal notranslate"><span class="pre">cadquery-ocp-novtk</span></code>).</p>
<dl class="py class">
<dt class="sig sig-object py" id="microgen.rve.Rve">
<span class="property"><span class="k"><span class="pre">class</span></span><span class="w"> </span></span><span class="sig-prename descclassname"><span class="pre">microgen.rve.</span></span><span class="sig-name descname"><span class="pre">Rve</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">center</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Vector3DType</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">(0,</span> <span class="pre">0,</span> <span class="pre">0)</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dim</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">float</span><span class="w"> </span><span class="p"><span class="pre">|</span></span><span class="w"> </span><span class="pre">Vector3DType</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#microgen.rve.Rve" title="Link to this definition"></a></dt>
<dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></p>
<p>Representative Volume Element (RVE).</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>center</strong> – center of the RVE</p></li>
<li><p><strong>dim</strong> – dimensions of the RVE</p></li>
</ul>
</dd>
</dl>
<dl class="py property">
<dt class="sig sig-object py" id="microgen.rve.Rve.box">
<span class="property"><span class="k"><span class="pre">property</span></span><span class="w"> </span></span><span class="sig-name descname"><span class="pre">box</span></span><span class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">CadShape</span></span><a class="headerlink" href="#microgen.rve.Rve.box" title="Link to this definition"></a></dt>
<dd><p>Return a <code class="xref py py-class docutils literal notranslate"><span class="pre">CadShape</span></code> box of the RVE (cached).</p>
<p>Requires the <code class="docutils literal notranslate"><span class="pre">[cad]</span></code> extra.</p>
</dd></dl>
<dl class="py method">
<dt class="sig sig-object py" id="microgen.rve.Rve.from_min_max">
<span class="property"><span class="k"><span class="pre">classmethod</span></span><span class="w"> </span></span><span class="sig-name descname"><span class="pre">from_min_max</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">min_point</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Vector3DType</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">(-0.5,</span> <span class="pre">-0.5,</span> <span class="pre">-0.5)</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">max_point</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Vector3DType</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">(0.5,</span> <span class="pre">0.5,</span> <span class="pre">0.5)</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></span><a class="headerlink" href="#microgen.rve.Rve.from_min_max" title="Link to this definition"></a></dt>
<dd><p>Generate a Rve from min and max corner points.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>min_point</strong> – <code class="docutils literal notranslate"><span class="pre">(x_min,</span> <span class="pre">y_min,</span> <span class="pre">z_min)</span></code> corner of the RVE</p></li>
<li><p><strong>max_point</strong> – <code class="docutils literal notranslate"><span class="pre">(x_max,</span> <span class="pre">y_max,</span> <span class="pre">z_max)</span></code> corner of the RVE</p></li>
</ul>
</dd>
</dl>
</dd></dl>
</dd></dl>
</section>
<section id="module-microgen.periodic">
<span id="periodic"></span><h2>Periodic<a class="headerlink" href="#module-microgen.periodic" title="Link to this heading"></a></h2>
<p>Periodic cut — rearrange a shape so it wraps around an RVE.</p>
<p>Pure OCP implementation (<code class="docutils literal notranslate"><span class="pre">cadquery-ocp-novtk</span></code>); no <code class="docutils literal notranslate"><span class="pre">cadquery</span></code> dependency.
Requires the <code class="docutils literal notranslate"><span class="pre">[cad]</span></code> extra.</p>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.periodic.periodic_split_and_translate">
<span class="sig-prename descclassname"><span class="pre">microgen.periodic.</span></span><span class="sig-name descname"><span class="pre">periodic_split_and_translate</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">phase</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">rve</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#microgen.rve.Rve" title="microgen.rve.Rve"><span class="pre">Rve</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a></span></span><a class="headerlink" href="#microgen.periodic.periodic_split_and_translate" title="Link to this definition"></a></dt>
<dd><p>Rearrange a phase periodically so it wraps the RVE.</p>
<p>Pure OCP implementation — no cadquery dependency.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>phase</strong> – Phase to cut periodically</p></li>
<li><p><strong>rve</strong> – RVE for periodicity</p></li>
</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p>resulting Phase</p>
</dd>
</dl>
</dd></dl>
</section>
<section id="module-microgen.mesh">
<span id="mesh"></span><h2>Mesh<a class="headerlink" href="#module-microgen.mesh" title="Link to this heading"></a></h2>
<p>Mesh using gmsh.</p>
<dl class="py exception">
<dt class="sig sig-object py" id="microgen.mesh.OutputMeshNotPeriodicError">
<span class="property"><span class="k"><span class="pre">exception</span></span><span class="w"> </span></span><span class="sig-prename descclassname"><span class="pre">microgen.mesh.</span></span><span class="sig-name descname"><span class="pre">OutputMeshNotPeriodicError</span></span><a class="headerlink" href="#microgen.mesh.OutputMeshNotPeriodicError" title="Link to this definition"></a></dt>
<dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">Exception</span></code></p>
<p>Raised when output mesh from mesh_periodic is not periodic.</p>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.mesh.is_periodic">
<span class="sig-prename descclassname"><span class="pre">microgen.mesh.</span></span><span class="sig-name descname"><span class="pre">is_periodic</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">nodes_coords</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">ndarray</span><span class="p"><span class="pre">[</span></span><span class="pre">tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">Any</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="p"><span class="pre">...</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">dtype</span><span class="p"><span class="pre">[</span></span><span class="pre">float64</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">tol</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">float</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1e-08</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">bool</span></span></span><a class="headerlink" href="#microgen.mesh.is_periodic" title="Link to this definition"></a></dt>
<dd><p>Check whether a mesh is periodic, given its nodes’ coordinates.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>nodes_coords</strong> – list of nodes coordinates of the analyzed mesh</p></li>
<li><p><strong>tol</strong> – tolerance</p></li>
</ul>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.mesh.mesh">
<span class="sig-prename descclassname"><span class="pre">microgen.mesh.</span></span><span class="sig-name descname"><span class="pre">mesh</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">mesh_file</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">str</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">list_phases</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">list</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#microgen.phase.Phase" title="microgen.phase.Phase"><span class="pre">Phase</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">size</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">float</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">order</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">int</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">output_file</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">str</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">'Mesh.msh'</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">msh_file_version</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">int</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">4</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">→</span> <span class="sig-return-typehint"><span class="pre">None</span></span></span><a class="headerlink" href="#microgen.mesh.mesh" title="Link to this definition"></a></dt>
<dd><p>Mesh step file with gmsh with list of phases management.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>mesh_file</strong> – step file to mesh</p></li>
<li><p><strong>list_phases</strong> – list of phases to mesh</p></li>
<li><p><strong>size</strong> – mesh size constraint (see: <a class="reference external" href="https://gitlab.onelab.info/gmsh/gmsh/blob/master/api/gmsh.py#L3140">gmsh.model.mesh.setSize(dimTags, size)</a>)</p></li>
<li><p><strong>order</strong> – see <a class="reference external" href="https://gitlab.onelab.info/gmsh/gmsh/blob/master/api/gmsh.py#L1688">gmsh.model.mesh.setOrder(order)</a></p></li>
<li><p><strong>output_file</strong> – output file (.msh, .vtk)</p></li>
<li><p><strong>msh_file_version</strong> – gmsh file version</p></li>
</ul>
</dd>
</dl>
</dd></dl>
<dl class="py function">
<dt class="sig sig-object py" id="microgen.mesh.mesh_periodic">