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Expand Down Expand Up @@ -659,12 +659,12 @@ <h1>Source code for geomstats.geometry.discrete_surfaces</h1><div class="highlig
<span class="sd"> vertex_i : array-like, shape=[..., n_faces, 3]</span>
<span class="sd"> 3D coordinates of the ith vertex of that face.</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">slc</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">([</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">)]</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">point</span><span class="o">.</span><span class="n">shape</span><span class="p">[:</span><span class="o">-</span><span class="mi">2</span><span class="p">]))</span>
<span class="n">face_coordinates</span> <span class="o">=</span> <span class="n">point</span><span class="p">[</span><span class="o">*</span><span class="n">slc</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">faces</span><span class="p">]</span>
<span class="n">batch_slc</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">([</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">)]</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">point</span><span class="o">.</span><span class="n">shape</span><span class="p">[:</span><span class="o">-</span><span class="mi">2</span><span class="p">]))</span>
<span class="n">face_coordinates</span> <span class="o">=</span> <span class="n">point</span><span class="p">[</span><span class="n">batch_slc</span> <span class="o">+</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">faces</span><span class="p">,)]</span>
<span class="k">return</span> <span class="p">(</span>
<span class="n">face_coordinates</span><span class="p">[</span><span class="o">*</span><span class="n">slc</span><span class="p">,</span> <span class="p">:,</span> <span class="mi">0</span><span class="p">],</span>
<span class="n">face_coordinates</span><span class="p">[</span><span class="o">*</span><span class="n">slc</span><span class="p">,</span> <span class="p">:,</span> <span class="mi">1</span><span class="p">],</span>
<span class="n">face_coordinates</span><span class="p">[</span><span class="o">*</span><span class="n">slc</span><span class="p">,</span> <span class="p">:,</span> <span class="mi">2</span><span class="p">],</span>
<span class="n">face_coordinates</span><span class="p">[</span><span class="n">batch_slc</span> <span class="o">+</span> <span class="p">(</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">),</span> <span class="mi">0</span><span class="p">)],</span>
<span class="n">face_coordinates</span><span class="p">[</span><span class="n">batch_slc</span> <span class="o">+</span> <span class="p">(</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">),</span> <span class="mi">1</span><span class="p">)],</span>
<span class="n">face_coordinates</span><span class="p">[</span><span class="n">batch_slc</span> <span class="o">+</span> <span class="p">(</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">),</span> <span class="mi">2</span><span class="p">)],</span>
<span class="p">)</span>

<span class="k">def</span> <span class="nf">_triangle_areas</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">point</span><span class="p">):</span>
Expand Down Expand Up @@ -941,10 +941,11 @@ <h1>Source code for geomstats.geometry.discrete_surfaces</h1><div class="highlig
<span class="sd"> to one its tangent vector tangent_vec.</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">batch_shape</span> <span class="o">=</span> <span class="n">get_batch_shape</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="n">point</span><span class="p">,</span> <span class="n">tangent_vec</span><span class="p">)</span>
<span class="n">slc</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">([</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">)]</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">batch_shape</span><span class="p">))</span>
<span class="n">batch_slc</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">([</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">)]</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">batch_shape</span><span class="p">))</span>

<span class="n">tangent_vec_diff</span> <span class="o">=</span> <span class="p">(</span>
<span class="n">tangent_vec</span><span class="p">[</span><span class="o">*</span><span class="n">slc</span><span class="p">,</span> <span class="n">id_vertices</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span> <span class="o">-</span> <span class="n">tangent_vec</span><span class="p">[</span><span class="o">*</span><span class="n">slc</span><span class="p">,</span> <span class="n">id_vertices</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span>
<span class="n">tangent_vec</span><span class="p">[</span><span class="n">batch_slc</span> <span class="o">+</span> <span class="p">(</span><span class="n">id_vertices</span><span class="p">[</span><span class="mi">0</span><span class="p">],)]</span>
<span class="o">-</span> <span class="n">tangent_vec</span><span class="p">[</span><span class="n">batch_slc</span> <span class="o">+</span> <span class="p">(</span><span class="n">id_vertices</span><span class="p">[</span><span class="mi">1</span><span class="p">],)]</span>
<span class="p">)</span>

<span class="n">values</span> <span class="o">=</span> <span class="n">gs</span><span class="o">.</span><span class="n">einsum</span><span class="p">(</span>
Expand All @@ -963,11 +964,15 @@ <h1>Source code for geomstats.geometry.discrete_surfaces</h1><div class="highlig
<span class="p">)</span>

<span class="k">for</span> <span class="n">i_dim</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
<span class="n">laplacian_at_tangent_vec</span><span class="p">[</span><span class="o">*</span><span class="n">slc</span><span class="p">,</span> <span class="p">:,</span> <span class="n">i_dim</span><span class="p">]</span> <span class="o">=</span> <span class="n">gs</span><span class="o">.</span><span class="n">scatter_add</span><span class="p">(</span>
<span class="nb">input</span><span class="o">=</span><span class="n">laplacian_at_tangent_vec</span><span class="p">[</span><span class="o">*</span><span class="n">slc</span><span class="p">,</span> <span class="p">:,</span> <span class="n">i_dim</span><span class="p">],</span>
<span class="n">dim</span><span class="o">=-</span><span class="mi">1</span><span class="p">,</span>
<span class="n">index</span><span class="o">=</span><span class="n">id_vertices_201</span><span class="p">,</span>
<span class="n">src</span><span class="o">=</span><span class="n">values</span><span class="p">[</span><span class="o">*</span><span class="n">slc</span><span class="p">,</span> <span class="p">:,</span> <span class="n">i_dim</span><span class="p">],</span>
<span class="n">laplacian_at_tangent_vec</span><span class="p">[</span><span class="n">batch_slc</span> <span class="o">+</span> <span class="p">(</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">),</span> <span class="n">i_dim</span><span class="p">)]</span> <span class="o">=</span> <span class="p">(</span>
<span class="n">gs</span><span class="o">.</span><span class="n">scatter_add</span><span class="p">(</span>
<span class="nb">input</span><span class="o">=</span><span class="n">laplacian_at_tangent_vec</span><span class="p">[</span>
<span class="n">batch_slc</span> <span class="o">+</span> <span class="p">(</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">),</span> <span class="n">i_dim</span><span class="p">)</span>
<span class="p">],</span>
<span class="n">dim</span><span class="o">=-</span><span class="mi">1</span><span class="p">,</span>
<span class="n">index</span><span class="o">=</span><span class="n">id_vertices_201</span><span class="p">,</span>
<span class="n">src</span><span class="o">=</span><span class="n">values</span><span class="p">[</span><span class="n">batch_slc</span> <span class="o">+</span> <span class="p">(</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">),</span> <span class="n">i_dim</span><span class="p">)],</span>
<span class="p">)</span>
<span class="p">)</span>
<span class="k">return</span> <span class="n">laplacian_at_tangent_vec</span>

Expand Down Expand Up @@ -1882,7 +1887,7 @@ <h1>Source code for geomstats.geometry.discrete_surfaces</h1><div class="highlig
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">discr_geod_path</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">discrete_geodesic_bvp</span><span class="p">(</span><span class="n">point</span><span class="p">,</span> <span class="n">base_point</span><span class="p">)</span>
<span class="n">point_ndim_slc</span> <span class="o">=</span> <span class="p">(</span><span class="nb">slice</span><span class="p">(</span><span class="kc">None</span><span class="p">),)</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">_total_space</span><span class="o">.</span><span class="n">point_ndim</span>
<span class="k">return</span> <span class="n">discr_geod_path</span><span class="p">[</span><span class="o">...</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="o">*</span><span class="n">point_ndim_slc</span><span class="p">]</span></div>
<span class="k">return</span> <span class="n">discr_geod_path</span><span class="p">[(</span><span class="o">...</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span> <span class="o">+</span> <span class="n">point_ndim_slc</span><span class="p">]</span></div>
</div>


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<meta name="docbuild:last-update" content="Jun 13, 2024, 8:47:06 AM"/>
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2 changes: 1 addition & 1 deletion _modules/geomstats/geometry/full_rank_matrices.html
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<link rel="search" title="Search" href="../../../search.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 8:47:06 AM"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 8:49:21 AM"/>
</head>


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2 changes: 1 addition & 1 deletion _modules/geomstats/geometry/functions.html
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<link rel="search" title="Search" href="../../../search.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 8:47:06 AM"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 8:49:21 AM"/>
</head>


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2 changes: 1 addition & 1 deletion _modules/geomstats/geometry/general_linear.html
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<link rel="search" title="Search" href="../../../search.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 8:47:06 AM"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 8:49:21 AM"/>
</head>


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