diff --git a/CHANGELOG.md b/CHANGELOG.md index ef84eba..19af4de 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -130,3 +130,30 @@ and Oskarsson hierarchical graphs) deliniating the different connectivity options, background on graph-based data-driven models, 2D plotting utilities, JupyterBook based documentation. In this version the graph assumes grid coordinates are Cartesian coordinates. + +## [Unreleased] + +### Added +- **Icosahedral mesh layout** (`mesh_layout='icosahedral'`) for global spherical graphs + - Mesh generation using `trimesh` (co-developed with @mandeepsingh2007) + - Grid-to-mesh (g2m) connectivity with radius-based queries in 3D Cartesian space + - Mesh-to-grid (m2g) barycentric interpolation via triangle containment + - Hierarchical variant with parent-child links between refinement levels + - Comprehensive test suite for spherical edge cases (anti-meridian, poles, etc.) + - Notebook demo in `/docs/icosahedral_global_graph.ipynb` + [\#76](https://github.com/mllam/weather-model-graphs/pull/76) @yuvraajnarula @mandeepsingh2007 @Joltsy10 + +- **New connectivity method**: `containing_triangle` for mesh-to-grid edges + - Extends existing `containing_rectangle` pattern to spherical geometry + - Stores barycentric weights as edge attributes for interpolation + [\#76](https://github.com/mllam/weather-model-graphs/pull/76) @Joltsy10 + +- **Coordinate utilities** for spherical geometry + - `lat_lon_to_cartesian` and `cartesian_to_lat_lon` conversions + - `compute_max_edge_length` for mesh distance calculations + - `find_containing_triangle` for point-in-triangle containment + [\#76](https://github.com/mllam/weather-model-graphs/pull/76) @yuvraajnarula + +### Changed +- Extended `connect_nodes_across_graphs` to support 3D positions and spherical queries +- Added CRS-aware warnings when using icosahedral layout with non-geographic CRS diff --git a/docs/internals/icosahedral_global_graph_internals.ipynb b/docs/internals/icosahedral_global_graph_internals.ipynb new file mode 100644 index 0000000..340c2c8 --- /dev/null +++ b/docs/internals/icosahedral_global_graph_internals.ipynb @@ -0,0 +1,5415 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Icosahedral Global Graph - Internals of `weather-model-graphs`\n", + "\n", + "This notebook explains *how* `weather-model-graphs` constructs icosahedral graphs under the hood,\n", + "following the sequence of steps that `create_all_graph_components()` executes internally:\n", + "\n", + "**A. Node coordinates**\n", + "1. Icosahedral mesh generation - trimesh subdivision on the unit sphere\n", + "2. Coordinate representation - Cartesian <-> lat/lon conversions\n", + "\n", + "**B. Connectivity**\n", + "3. Face-adjacent mesh edges - every node gets exactly 5 or 6 neighbours\n", + "4. Grid-to-mesh (G2M) - radius-based search from grid points to mesh nodes\n", + "5. Mesh-to-grid (M2G) - containing-triangle lookup with barycentric weights\n", + "\n", + "**C. Scaling**\n", + "6. Performance - how node and face counts grow with subdivision level\n", + "\n", + "Familiarity with the user-facing API is assumed; see `icosahedral_global_graph_usage.ipynb` for that.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "fef5c0ab", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import plotly.graph_objects as go\n", + "from scipy.spatial import cKDTree\n", + "\n", + "from weather_model_graphs.create.mesh.layouts.icosahedral import (\n", + " create_hierarchy_of_icosahedral_meshes,\n", + " generate_icosahedral_mesh,\n", + " connect_grid_to_mesh,\n", + " lat_lon_to_cartesian,\n", + " cartesian_to_lat_lon,\n", + " barycentric_coordinates,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "594a4fbf", + "metadata": {}, + "source": [ + "## Setup: sample grid and mesh\n", + "\n", + "We use a 2.5deg global grid and a level-**2** mesh throughout - small enough to render quickly\n", + "while clearly showing the structure. (Increase `refinement_level` to 3+ in a real workflow.)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "c71551ba", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Grid : 10585 points\n", + "Mesh level 2: 162 vertices, 320 faces\n", + "G2M edges : 16081\n" + ] + } + ], + "source": [ + "resolution = 2.5\n", + "lats = np.arange(-90, 90.1, resolution)\n", + "lons = np.arange(-180, 180.1, resolution)\n", + "grid_lat, grid_lon = np.meshgrid(lats, lons, indexing=\"ij\")\n", + "grid_lat_lon = np.column_stack([grid_lat.ravel(), grid_lon.ravel()])\n", + "\n", + "REFINEMENT = 2\n", + "mesh_list = create_hierarchy_of_icosahedral_meshes(max_subdivisions=REFINEMENT)\n", + "finest_vertices, finest_faces = mesh_list[-1]\n", + "g2m_edges = connect_grid_to_mesh(\n", + " grid_lat_lon, finest_vertices, finest_faces, radius_factor=0.6\n", + ")\n", + "\n", + "print(f\"Grid : {len(grid_lat_lon)} points\")\n", + "print(\n", + " f\"Mesh level {REFINEMENT}: {len(finest_vertices)} vertices, {len(finest_faces)} faces\"\n", + ")\n", + "print(f\"G2M edges : {g2m_edges.shape[1]}\")" + ] + }, + { + "cell_type": "markdown", + "id": "39807cc1", + "metadata": {}, + "source": [ + "---\n", + "## A. Node coordinates\n" + ] + }, + { + "cell_type": "markdown", + "id": "7d86fa76", + "metadata": {}, + "source": [ + "### 1. Icosahedral mesh generation\n", + "\n", + "`generate_icosahedral_mesh(refinement_level)` starts from a regular icosahedron (12 vertices,\n", + "20 triangular faces) and repeatedly bisects every edge, projecting new midpoints onto the unit\n", + "sphere. Each subdivision multiplies the face count by 4 and the vertex count by approximately 4.\n", + "\n", + "The 3-D plot below verifies that all vertices lie on the unit sphere and that subdivision is uniform.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "328b770c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Coordinate representation - Cartesian <-> lat/lon\n", + "\n", + "Internally the mesh works in Cartesian (x, y, z) coordinates on the unit sphere.\n", + "`cartesian_to_lat_lon` and `lat_lon_to_cartesian` convert between the two representations;\n", + "the round-trip below confirms the conversion is lossless.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "0166a43b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max round-trip error: 4.44e-16\n", + "Latitude range: [-90.0, 90.0]\n", + "Longitude range: [-167.1, 180.0]\n" + ] + } + ], + "source": [ + "# Round-trip: Cartesian to lat/lon to Cartesian\n", + "lat_lon = cartesian_to_lat_lon(vertices)\n", + "vertices_back = lat_lon_to_cartesian(lat_lon[:, 0], lat_lon[:, 1])\n", + "print(f\"Max round-trip error: {np.max(np.abs(vertices - vertices_back)):.2e}\")\n", + "\n", + "# Quick sanity check on the lat/lon ranges\n", + "lat, lon = lat_lon[:, 0], lat_lon[:, 1]\n", + "print(f\"Latitude range: [{lat.min():.1f}, {lat.max():.1f}]\")\n", + "print(f\"Longitude range: [{lon.min():.1f}, {lon.max():.1f}]\")" + ] + }, + { + "cell_type": "markdown", + "id": "a701a42b", + "metadata": {}, + "source": [ + "---\n", + "## B. Connectivity\n" + ] + }, + { + "cell_type": "markdown", + "id": "57b969e8", + "metadata": {}, + "source": [ + "### 3. Face-adjacent mesh edges (M2M)\n", + "\n", + "Every mesh node connects to exactly **5 or 6** face-adjacent neighbours:\n", + "\n", + "- **6 neighbours** - all nodes except the 12 original icosahedron vertices.\n", + "- **5 neighbours** - the 12 vertices inherited from the base icosahedron (one per \"pentagonal\" patch).\n", + "\n", + "Connectivity is determined entirely by the triangulation faces - no pattern kwarg needed.\n", + "The interactive plot below colours nodes by their degree and highlights one node and its neighbours.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "b3b01122", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Nodes with 5 neighbours (icosahedral vertices): 12\n", + "Nodes with 6 neighbours (regular nodes) : 30\n" + ] + }, + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hoverinfo": "skip", + "line": { + 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degree\n", + "edges = set()\n", + "for f in faces:\n", + " for i, j in [(0, 1), (1, 2), (2, 0)]:\n", + " edges.add((min(f[i], f[j]), max(f[i], f[j])))\n", + "\n", + "degree = np.zeros(len(vertices), dtype=int)\n", + "for e in edges:\n", + " degree[e[0]] += 1\n", + " degree[e[1]] += 1\n", + "\n", + "print(f\"Nodes with 5 neighbours (icosahedral vertices): {(degree == 5).sum()}\")\n", + "print(f\"Nodes with 6 neighbours (regular nodes) : {(degree == 6).sum()}\")\n", + "\n", + "# Build edge traces, masking antimeridian-crossing edges\n", + "edge_lons, edge_lats = [], []\n", + "for e in edges:\n", + " if abs(lon[e[0]] - lon[e[1]]) < 180:\n", + " edge_lons += [lon[e[0]], lon[e[1]], None]\n", + " edge_lats += [lat[e[0]], lat[e[1]], None]\n", + "\n", + "# Pick an equatorial degree-6 node to highlight\n", + "highlight = next(i for i in range(len(vertices)) if degree[i] == 6 and abs(lat[i]) < 20)\n", + "neighbours = [e[1] if e[0] == highlight else e[0] for e in edges if highlight in e]\n", + "\n", + "hl_lons, hl_lats = [], []\n", + "for n in neighbours:\n", + " if abs(lon[n] - lon[highlight]) < 180:\n", + " hl_lons += [lon[highlight], lon[n], None]\n", + " hl_lats += [lat[highlight], lat[n], None]\n", + "\n", + "fig = go.Figure()\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=edge_lons,\n", + " y=edge_lats,\n", + " mode=\"lines\",\n", + " line=dict(color=\"steelblue\", width=1),\n", + " opacity=0.4,\n", + " name=\"face-adjacent edges\",\n", + " hoverinfo=\"skip\",\n", + " )\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=lon[degree == 6],\n", + " y=lat[degree == 6],\n", + " mode=\"markers\",\n", + " marker=dict(size=9, color=\"cornflowerblue\", line=dict(color=\"white\", width=1)),\n", + " name=\"6 neighbours (regular)\",\n", + " )\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=lon[degree == 5],\n", + " y=lat[degree == 5],\n", + " mode=\"markers\",\n", + " marker=dict(size=9, color=\"tomato\", line=dict(color=\"white\", width=1)),\n", + " name=\"5 neighbours (icosahedral vertex)\",\n", + " )\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=hl_lons,\n", + " y=hl_lats,\n", + " mode=\"lines\",\n", + " line=dict(color=\"gold\", width=3),\n", + " name=f\"example node: {degree[highlight]} neighbours\",\n", + " hoverinfo=\"skip\",\n", + " )\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=[lon[highlight]],\n", + " y=[lat[highlight]],\n", + " mode=\"markers\",\n", + " marker=dict(size=15, color=\"gold\", line=dict(color=\"black\", width=2)),\n", + " name=\"example node\",\n", + " )\n", + ")\n", + "fig.update_layout(\n", + " title=\"Face-adjacent connectivity - refinement level 1\",\n", + " xaxis_title=\"Longitude\",\n", + " yaxis_title=\"Latitude\",\n", + " xaxis=dict(range=[-185, 185]),\n", + " yaxis=dict(range=[-95, 95]),\n", + " width=1000,\n", + " height=580,\n", + ")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "50f7ea8e", + "metadata": {}, + "source": [ + "### 4. Grid-to-mesh connectivity (G2M)\n", + "\n", + "Each grid point is connected to every mesh node within a search radius that is proportional\n", + "to the typical mesh edge length (`radius_factor × max_edge_length`). This is computed via\n", + "a 3-D k-d tree on the unit sphere.\n", + "\n", + "The plot below zooms into a small region to show how several grid points (green squares) each\n", + "connect to the nearest mesh nodes (blue circles).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "eaafc3a9", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hoverinfo": "skip", + "line": { + "color": "tomato", + "width": 1.5 + }, + "mode": "lines", + "name": "G2M edges", + "opacity": 0.6, + "type": "scatter", + "x": [ + -2.5, + 0, + null, + -2.5, + 0, + null, + 0, + 0, + null, + 0, + 0, + null, + 2.5, + 0, + null, + 2.5, + 0, + null, + 5, + 0, + null, + 5, + 0, + null, + 5, + 15.450437086325833, + null, + 7.5, + 0, + null, + 7.5, + 0, + null, + 7.5, + 15.450437086325833, + null, + 10, + 15.450437086325833, + null, + 12.5, + 15.450437086325833, + null, + 15, + 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(20N, 10E)\n", + "focus_lat, focus_lon, pad = 20.0, 10.0, 15.0\n", + "region_mask = (\n", + " (grid_lat_lon[:, 0] > focus_lat - pad)\n", + " & (grid_lat_lon[:, 0] < focus_lat + pad)\n", + " & (grid_lat_lon[:, 1] > focus_lon - pad)\n", + " & (grid_lat_lon[:, 1] < focus_lon + pad)\n", + ")\n", + "region_idx = np.where(region_mask)[0]\n", + "\n", + "# Find which G2M edges involve grid points in the region\n", + "region_g2m = [\n", + " (g2m_edges[0, k], g2m_edges[1, k])\n", + " for k in range(g2m_edges.shape[1])\n", + " if g2m_edges[0, k] in set(region_idx)\n", + "]\n", + "\n", + "e_lons, e_lats = [], []\n", + "for gi, mi in region_g2m:\n", + " glat, glon = grid_lat_lon[gi]\n", + " if abs(glon - lon_m[mi]) < 180:\n", + " e_lons += [glon, lon_m[mi], None]\n", + " e_lats += [glat, lat_m[mi], None]\n", + "\n", + "fig = go.Figure()\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=e_lons,\n", + " y=e_lats,\n", + " mode=\"lines\",\n", + " line=dict(color=\"tomato\", width=1.5),\n", + " opacity=0.6,\n", + " name=\"G2M edges\",\n", + " hoverinfo=\"skip\",\n", + " )\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=lon_m,\n", + " y=lat_m,\n", + " mode=\"markers\",\n", + " marker=dict(size=10, color=\"cornflowerblue\", line=dict(color=\"white\", width=1)),\n", + " name=\"mesh nodes\",\n", + " )\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=grid_lat_lon[region_idx, 1],\n", + " y=grid_lat_lon[region_idx, 0],\n", + " mode=\"markers\",\n", + " marker=dict(\n", + " size=8, color=\"seagreen\", symbol=\"square\", line=dict(color=\"white\", width=1)\n", + " ),\n", + " name=f\"grid nodes (region)\",\n", + " )\n", + ")\n", + "fig.update_layout(\n", + " title=f\"G2M connectivity - zoomed region around ({focus_lat}N, {focus_lon}E)\",\n", + " xaxis_title=\"Longitude\",\n", + " yaxis_title=\"Latitude\",\n", + " xaxis=dict(range=[focus_lon - pad, focus_lon + pad]),\n", + " yaxis=dict(range=[focus_lat - pad, focus_lat + pad]),\n", + " width=700,\n", + " height=600,\n", + ")\n", + "fig.show()\n", + "print(f\"G2M edges in region: {len(region_g2m)}\")" + ] + }, + { + "cell_type": "markdown", + "id": "8c464caa", + "metadata": {}, + "source": [ + "### 5. Mesh-to-grid connectivity (M2G) - containing triangle and barycentric weights\n", + "\n", + "For M2G, each grid point is connected to the **3 vertices of its containing mesh triangle**.\n", + "The edge weights are the barycentric coordinates of the grid point with respect to that triangle -\n", + "they are non-negative, sum to 1, and encode a linear interpolation from mesh to grid.\n", + "\n", + "The plot below shows a single grid point, its containing triangle (blue), and the three weighted\n", + "edges (thicker = larger weight).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "9cce27bc", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hoverinfo": "skip", + "line": { + "color": "lightsteelblue", + "width": 1 + }, + "mode": "lines", + "opacity": 0.5, + "showlegend": false, + "type": "scatter", + "x": [ + 0, + 0, + 16.765721382659034, + 0 + ], + 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lat_lon_mesh[:, 0], lat_lon_mesh[:, 1]\n", + "\n", + "target_lat, target_lon = 20.0, 10.0\n", + "target_xyz = lat_lon_to_cartesian(np.array([target_lat]), np.array([target_lon]))\n", + "\n", + "# Find the containing triangle via nearest face centroids\n", + "face_centroids = vertices[faces].mean(axis=1)\n", + "face_centroids /= np.linalg.norm(face_centroids, axis=1, keepdims=True)\n", + "tree = cKDTree(face_centroids)\n", + "\n", + "_, near = tree.query(target_xyz, k=8)\n", + "containing_face, bary = None, None\n", + "for fi in near[0]:\n", + " v1, v2, v3 = faces[fi]\n", + " w = barycentric_coordinates(target_xyz[0], vertices[v1], vertices[v2], vertices[v3])\n", + " if w is not None and w.min() >= -1e-6:\n", + " containing_face, bary = fi, w / w.sum()\n", + " break\n", + "\n", + "if containing_face is None: # fallback: closest centroid\n", + " containing_face = near[0][0]\n", + " v1, v2, v3 = faces[containing_face]\n", + " bary = barycentric_coordinates(\n", + " target_xyz[0], vertices[v1], vertices[v2], vertices[v3]\n", + " )\n", + " bary = np.clip(bary, 0, None)\n", + " bary /= bary.sum()\n", + "\n", + "tri_verts = list(faces[containing_face])\n", + "tri_lats, tri_lons = lat_m[tri_verts], lon_m[tri_verts]\n", + "\n", + "# Context triangles for background\n", + "_, nearby = tree.query(face_centroids[containing_face : containing_face + 1], k=7)\n", + "context_nodes = set()\n", + "for fi in nearby[0]:\n", + " for ni in faces[fi]:\n", + " context_nodes.add(ni)\n", + "context_nodes -= set(tri_verts)\n", + "\n", + "fig = go.Figure()\n", + "for fi in nearby[0]:\n", + " if fi == containing_face:\n", + " continue\n", + " fv = faces[fi]\n", + " flats, flons = lat_m[fv], lon_m[fv]\n", + " if np.max(flons) - np.min(flons) > 90:\n", + " continue\n", + " fig.add_trace(\n", + " go.Scatter(\n", + " x=list(flons) + [flons[0]],\n", + " y=list(flats) + [flats[0]],\n", + " mode=\"lines\",\n", + " line=dict(color=\"lightsteelblue\", width=1),\n", + " opacity=0.5,\n", + " showlegend=False,\n", + " hoverinfo=\"skip\",\n", + " )\n", + " )\n", + "\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=list(tri_lons) + [tri_lons[0]],\n", + " y=list(tri_lats) + [tri_lats[0]],\n", + " mode=\"lines\",\n", + " fill=\"toself\",\n", + " fillcolor=\"rgba(100,149,237,0.15)\",\n", + " line=dict(color=\"cornflowerblue\", width=2.5),\n", + " name=\"containing triangle\",\n", + " )\n", + ")\n", + "for vi, (node_idx, w) in enumerate(zip(tri_verts, bary)):\n", + " fig.add_trace(\n", + " go.Scatter(\n", + " x=[target_lon, lon_m[node_idx]],\n", + " y=[target_lat, lat_m[node_idx]],\n", + " mode=\"lines\",\n", + " line=dict(color=\"tomato\", width=1.5 + 5.0 * float(w)),\n", + " name=f\"w{vi+1} = {w:.3f}\",\n", + " )\n", + " )\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=lon_m[list(context_nodes)],\n", + " y=lat_m[list(context_nodes)],\n", + " mode=\"markers\",\n", + " marker=dict(size=7, color=\"lightsteelblue\", line=dict(color=\"white\", width=1)),\n", + " name=\"other mesh nodes\",\n", + " )\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=tri_lons,\n", + " y=tri_lats,\n", + " mode=\"markers+text\",\n", + " marker=dict(size=14, color=\"cornflowerblue\", line=dict(color=\"white\", width=2)),\n", + " text=[f\"v{i+1} (w={bary[i]:.3f})\" for i in range(3)],\n", + " textposition=[\"top left\", \"top right\", \"bottom center\"],\n", + " textfont=dict(size=12),\n", + " name=\"triangle vertices\",\n", + " )\n", + ")\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=[target_lon],\n", + " y=[target_lat],\n", + " mode=\"markers+text\",\n", + " marker=dict(\n", + " size=14, color=\"tomato\", symbol=\"square\", line=dict(color=\"black\", width=2)\n", + " ),\n", + " text=[\"grid point\"],\n", + " textposition=\"middle right\",\n", + " name=\"grid point\",\n", + " )\n", + ")\n", + "pad = 12\n", + "fig.update_layout(\n", + " title=\"M2G: containing triangle and barycentric weights\",\n", + " xaxis_title=\"Longitude\",\n", + " yaxis_title=\"Latitude\",\n", + " xaxis=dict(range=[target_lon - pad, target_lon + pad]),\n", + " yaxis=dict(range=[target_lat - pad, target_lat + pad]),\n", + " width=750,\n", + " height=680,\n", + ")\n", + "fig.show()\n", + "print(f\"Barycentric weights: {bary} (sum = {bary.sum():.6f})\")" + ] + }, + { + "cell_type": "markdown", + "id": "c4517510", + "metadata": {}, + "source": [ + "---\n", + "## C. Scaling\n", + "\n", + "### 6. Performance - node and face counts vs. subdivision level\n", + "\n", + "Each subdivision multiplies every triangle into 4 children, so both counts grow as ~4.\n", + "The log-scale plot makes the exponential growth linear and lets you read off the ratio directly.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "05662fd8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Growth rate (nodes):\n", + " Level 0 -> 1: 3.50× (theoretical: 4×)\n", + " Level 1 -> 2: 3.86× (theoretical: 4×)\n", + " Level 2 -> 3: 3.96× (theoretical: 4×)\n", + " Level 3 -> 4: 3.99× (theoretical: 4×)\n", + " Level 4 -> 5: 4.00× (theoretical: 4×)\n" + ] + } + ], + "source": [ + "subdivisions = np.arange(0, 6)\n", + "node_counts, face_counts = [], []\n", + "for s in subdivisions:\n", + " v, f = generate_icosahedral_mesh(refinement_level=int(s))\n", + " node_counts.append(len(v))\n", + " face_counts.append(len(f))\n", + "\n", + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4))\n", + "\n", + "ax1.plot(subdivisions, node_counts, \"o-\", label=\"Nodes\")\n", + "ax1.plot(subdivisions, face_counts, \"s-\", label=\"Faces\")\n", + "ax1.set_xlabel(\"Subdivision level\")\n", + "ax1.set_ylabel(\"Count\")\n", + "ax1.set_title(\"Scaling (linear)\")\n", + "ax1.legend()\n", + "ax1.grid(alpha=0.3)\n", + "\n", + "ax2.semilogy(subdivisions, node_counts, \"o-\", label=\"Nodes\")\n", + "ax2.semilogy(subdivisions, face_counts, \"s-\", label=\"Faces\")\n", + "ax2.set_xlabel(\"Subdivision level\")\n", + "ax2.set_ylabel(\"Count (log)\")\n", + "ax2.set_title(\"Scaling (log)\")\n", + "ax2.legend()\n", + "ax2.grid(alpha=0.3)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "print(\"Growth rate (nodes):\")\n", + "for i in range(1, len(subdivisions)):\n", + " ratio = node_counts[i] / node_counts[i - 1]\n", + " print(f\" Level {i-1} -> {i}: {ratio:.2f}× (theoretical: 4×)\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "wmg", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.19" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/internals/icosahedral_global_graph_usage.ipynb b/docs/internals/icosahedral_global_graph_usage.ipynb new file mode 100644 index 0000000..bf5c090 --- /dev/null +++ b/docs/internals/icosahedral_global_graph_usage.ipynb @@ -0,0 +1,96755 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Icosahedral Global Graph - Using `weather-model-graphs`\n", + "\n", + "This notebook walks through the `weather-model-graphs` API for creating global spherical graphs based on icosahedral meshes. We visualise the outputs at each step so you can build up an intuition for what the library is constructing.\n", + "\n", + "1. **Mesh hierarchy** - generate icosahedral meshes at increasing refinement levels\n", + "2. **Input grid** - define the lat/lon grid that provides the input features\n", + "3. **Grid-to-mesh (G2M) connectivity** - connect grid points to the finest mesh\n", + "4. **Mesh graphs** - flat and hierarchical mesh-to-mesh connectivity\n", + "5. **End-to-end with `create_all_graph_components`** - flat and hierarchical graphs\n", + "6. **Visualise graph components** - inspect the m2m, g2m and m2g sub-graphs\n", + "\n", + "For a deep-dive into how the library builds these graphs internally (trimesh subdivision, face-adjacency, barycentric interpolation) see the companion notebook `docs/internals/icosahedral_global_graph_internals.ipynb`." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "abe0ac74", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pyproj\n", + "import plotly.graph_objects as go" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "7a34bd5f", + "metadata": {}, + "outputs": [], + "source": [ + "from weather_model_graphs.create.mesh.layouts.icosahedral import (\n", + " create_hierarchy_of_icosahedral_meshes,\n", + " create_flat_icosahedral_mesh_graph,\n", + " create_hierarchical_icosahedral_mesh_graph,\n", + " connect_grid_to_mesh,\n", + " cartesian_to_lat_lon,\n", + ")\n", + "from weather_model_graphs.create import create_all_graph_components" + ] + }, + { + "cell_type": "markdown", + "id": "398b19df", + "metadata": {}, + "source": [ + "## Helper: `plot_graph_on_globe`\n", + "\n", + "A small reusable Plotly helper that renders any set of (lat, lon) nodes and edges on an equirectangular map. We define it once here and call it after each construction step." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "c58f8d5e", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_graph_on_globe(\n", + " node_lat,\n", + " node_lon,\n", + " *,\n", + " edge_pairs=None, # list of (i, j) index pairs into node arrays\n", + " node_color=\"steelblue\",\n", + " node_size=4,\n", + " title=\"\",\n", + " width=900,\n", + " height=500,\n", + "):\n", + " \"\"\"Lightweight Plotly visualisation of a graph in geographic coordinates.\n", + "\n", + " Parameters\n", + " ----------\n", + " node_lat, node_lon : array-like\n", + " Node coordinates in degrees.\n", + " edge_pairs : list of (int, int), optional\n", + " Index pairs. Edges that cross the antimeridian (|Δlon| > 180) are\n", + " skipped to avoid wrap-around artefacts.\n", + " \"\"\"\n", + " edge_lons, edge_lats = [], []\n", + " if edge_pairs is not None:\n", + " for i, j in edge_pairs:\n", + " if abs(float(node_lon[i]) - float(node_lon[j])) < 180:\n", + " edge_lons += [node_lon[i], node_lon[j], None]\n", + " edge_lats += [node_lat[i], node_lat[j], None]\n", + "\n", + " traces = []\n", + " if edge_lons:\n", + " traces.append(\n", + " go.Scatter(\n", + " x=edge_lons,\n", + " y=edge_lats,\n", + " mode=\"lines\",\n", + " line=dict(color=\"lightsteelblue\", width=0.8),\n", + " hoverinfo=\"skip\",\n", + " showlegend=False,\n", + " )\n", + " )\n", + " traces.append(\n", + " go.Scatter(\n", + " x=node_lon,\n", + " y=node_lat,\n", + " mode=\"markers\",\n", + " marker=dict(\n", + " size=node_size, color=node_color, line=dict(color=\"white\", width=0.3)\n", + " ),\n", + " hovertemplate=\"lat=%{y:.2f}°, lon=%{x:.2f}°\",\n", + " )\n", + " )\n", + "\n", + " fig = go.Figure(traces)\n", + " fig.update_layout(\n", + " title=title,\n", + " showlegend=False,\n", + " xaxis=dict(\n", + " title=\"Longitude\",\n", + " range=[-185, 185],\n", + " dtick=30,\n", + " showgrid=True,\n", + " gridcolor=\"#eee\",\n", + " ),\n", + " yaxis=dict(\n", + " title=\"Latitude\", range=[-95, 95], dtick=30, showgrid=True, gridcolor=\"#eee\"\n", + " ),\n", + " width=width,\n", + " height=height,\n", + " margin=dict(l=40, r=20, t=50, b=40),\n", + " plot_bgcolor=\"white\",\n", + " )\n", + " return fig" + ] + }, + { + "cell_type": "markdown", + "id": "0bd01672", + "metadata": {}, + "source": [ + "## 1. Generate the Icosahedral Mesh Hierarchy\n", + "\n", + "`create_hierarchy_of_icosahedral_meshes` returns a list of `(vertices, faces)` tuples, one per refinement level. Each successive level subdivides every triangle into four, so the node count grows roughly 4× per level." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "dff2c504", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Level │ Nodes │ Faces\n", + " 0 │ 12 │ 20\n", + " 1 │ 42 │ 80\n", + " 2 │ 162 │ 320\n", + " 3 │ 642 │ 1280\n" + ] + } + ], + "source": [ + "max_subdivisions = 3\n", + "mesh_list = create_hierarchy_of_icosahedral_meshes(max_subdivisions)\n", + "\n", + "print(\"Level │ Nodes │ Faces\")\n", + "for level, (verts, faces) in enumerate(mesh_list):\n", + " print(f\" {level} │ {len(verts):5d} │ {len(faces):5d}\")" + ] + }, + { + "cell_type": "markdown", + "id": "e41e374b", + "metadata": {}, + "source": [ + "Each level on its own looks like a progressively finer quasi-uniform point cloud on the sphere. The plot below shows the finest level (`subdivisions=3`)." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "8f610898", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hoverinfo": "skip", + "line": { + "color": "lightsteelblue", + "width": 0.8 + }, + "mode": "lines", + "showlegend": false, + "type": "scatter", + "x": [ + -16.765721382659034, + -16.078204297213745, + null, + -148.282525588539, + -148.282525588539, + null, + -31.71747441146101, + -48.76227903642022, + null, + 90, + 121.10179329910103, + null, + -72.64546060487129, + -84.06254052301878, + null, + 31.71747441146101, + 31.717474411461016, + null, + 164.54956291367418, + 172.32675406001098, + null, + -24.44494552415484, + -16.078204297213745, + null, + 117.73230144770197, + 128.44917703350416, + null, + -31.71747441146101, + -31.71747441146101, + null, + 156.16268651909266, + 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cartesian_to_lat_lon(finest_verts)\n", + "\n", + "# Build edge pairs from triangle faces\n", + "edge_set = set()\n", + "for f in finest_faces:\n", + " for a, b in [(0, 1), (1, 2), (2, 0)]:\n", + " edge_set.add((min(f[a], f[b]), max(f[a], f[b])))\n", + "\n", + "fig = plot_graph_on_globe(\n", + " ll[:, 0],\n", + " ll[:, 1],\n", + " edge_pairs=list(edge_set),\n", + " node_size=3,\n", + " title=f\"Icosahedral mesh - level {max_subdivisions} \"\n", + " f\"({len(finest_verts)} nodes, {len(finest_faces)} faces)\",\n", + ")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "c2bdb6a2", + "metadata": {}, + "source": [ + "## 2. Define the Input Grid\n", + "\n", + "We use a regular 5° lat/lon grid as the input feature grid. A coarser resolution is intentional here, it keeps the visualisations readable. In practice you would use whatever grid your NWP model outputs." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "5a97e569", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Grid: 37 x 73 = 2701 nodes\n" + ] + }, + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "lat=%{y:.2f}°, lon=%{x:.2f}°", + "marker": { + "color": "tomato", + "line": { + "color": "white", + "width": 0.3 + }, + "size": 3 + }, + "mode": "markers", + "type": "scatter", + "x": { + "bdata": 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resolution)\n", + "lons = np.arange(-180, 180.1, resolution)\n", + "grid_lat, grid_lon = np.meshgrid(lats, lons, indexing=\"ij\")\n", + "grid_lat_lon = np.column_stack([grid_lat.ravel(), grid_lon.ravel()])\n", + "\n", + "print(f\"Grid: {len(lats)} x {len(lons)} = {len(grid_lat_lon)} nodes\")\n", + "\n", + "fig = plot_graph_on_globe(\n", + " grid_lat_lon[:, 0],\n", + " grid_lat_lon[:, 1],\n", + " node_color=\"tomato\",\n", + " node_size=3,\n", + " title=f\"Input grid = {resolution}deg resolution ({len(grid_lat_lon)} nodes)\",\n", + ")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "6458d878", + "metadata": {}, + "source": [ + "## 3. Connect Grid to Mesh (G2M)\n", + "\n", + "`connect_grid_to_mesh` links every grid point to the nearby mesh nodes of the finest level using a radius search. `radius_factor=0.6` means the search radius is 0.6× the maximum edge length of the mesh - large enough to guarantee every grid point gets at least one connection." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "d652e5f8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "G2M edges: 4299\n", + "Avg connections per grid node: 1.59\n", + "Avg connections per mesh node: 6.70\n" + ] + } + ], + "source": [ + "g2m_edges = connect_grid_to_mesh(\n", + " grid_lat_lon,\n", + " finest_verts,\n", + " finest_faces,\n", + " radius_factor=0.6,\n", + ")\n", + "\n", + "print(f\"G2M edges: {g2m_edges.shape[1]}\")\n", + "print(f\"Avg connections per grid node: {g2m_edges.shape[1]/len(grid_lat_lon):.2f}\")\n", + "print(f\"Avg connections per mesh node: 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edges\n", + "mesh_ll = cartesian_to_lat_lon(finest_verts)\n", + "\n", + "edge_pairs_g2m = list(zip(g2m_edges[0].tolist(), g2m_edges[1].tolist()))\n", + "\n", + "# Build combined node arrays: mesh nodes first, then grid nodes\n", + "all_lat = np.concatenate([mesh_ll[:, 0], grid_lat_lon[:, 0]])\n", + "all_lon = np.concatenate([mesh_ll[:, 1], grid_lat_lon[:, 1]])\n", + "n_mesh = len(mesh_ll)\n", + "\n", + "# Offset grid indices by n_mesh so edge pairs index into all_lat/all_lon\n", + "offset_pairs = [(n_mesh + gi, mi) for gi, mi in edge_pairs_g2m]\n", + "\n", + "fig = plot_graph_on_globe(\n", + " all_lat,\n", + " all_lon,\n", + " edge_pairs=offset_pairs[:2000], # subsample for legibility\n", + " node_color=[\"steelblue\"] * n_mesh + [\"tomato\"] * len(grid_lat_lon),\n", + " node_size=3,\n", + " title=\"G2M connectivity : grey lines connect grid points to mesh nodes\",\n", + ")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ae300be8", + "metadata": {}, + "source": [ + "## 4. Mesh Graphs\n", + "\n", + "Before using the end-to-end API it is helpful to look at the mesh graph on its own. `create_flat_icosahedral_mesh_graph` returns a single-level graph; `create_hierarchical_icosahedral_mesh_graph` stacks multiple levels with inter-level edges." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "ad2e0f89", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Flat mesh : nodes: 642, edges: 3840\n", + "Hier mesh : nodes: 858, edges: 8052\n", + "Hierarchical nodes per level: {0: 12, 1: 42, 2: 162, 3: 642}\n" + ] + } + ], + "source": [ + "G_flat = create_flat_icosahedral_mesh_graph(subdivisions=3)\n", + "print(f\"Flat mesh : nodes: {len(G_flat.nodes)}, edges: {len(G_flat.edges)}\")\n", + "\n", + "G_hier = create_hierarchical_icosahedral_mesh_graph(max_subdivisions=3)\n", + "print(f\"Hier mesh : nodes: {len(G_hier.nodes)}, edges: {len(G_hier.edges)}\")\n", + "\n", + "level_counts = {}\n", + "for node, data in G_hier.nodes(data=True):\n", + " l = data.get(\"level\", 0)\n", + " level_counts[l] = level_counts.get(l, 0) + 1\n", + "print(\"Hierarchical nodes per level:\", dict(sorted(level_counts.items())))" + ] + }, + { + "cell_type": "markdown", + "id": "5f91e263", + "metadata": {}, + "source": [ + "## 5. End-to-End: `create_all_graph_components`\n", + "\n", + "`create_all_graph_components` builds the full G2M + M2M + M2G graph in one call. Below we create both a flat and a hierarchical variant." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "bbb4b3d1", + "metadata": {}, + "outputs": [], + "source": [ + "geographic_crs = pyproj.CRS.from_string(\"EPSG:4326\")" + ] + }, + { + "cell_type": "markdown", + "id": "75e272f4", + "metadata": {}, + "source": [ + "### 5a. Flat mesh" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "3942aed1", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\u001b[32m2026-03-25 21:52:29.697\u001b[0m | \u001b[34m\u001b[1mDEBUG \u001b[0m | \u001b[36mweather_model_graphs.create.base\u001b[0m:\u001b[36mcreate_all_graph_components\u001b[0m:\u001b[36m140\u001b[0m - \u001b[34m\u001b[1mProjecting coords from CRS(EPSG:4326) to CRS(EPSG:4326) for graph creation.\u001b[0m\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "query_dist = 0.0988 (longest_edge=0.1646, rel=0.6)\n", + "query_dist = 0.0988 (longest_edge=0.1646, rel=0.6)\n", + "Nodes: {'mesh': 642, 'grid': 2701}\n", + "Edges: {'m2m': 3840, 'm2g': 4299, 'g2m': 4299}\n" + ] + } + ], + "source": [ + "G_complete = create_all_graph_components(\n", + " coords=grid_lat_lon,\n", + " mesh_layout=\"icosahedral\",\n", + " m2m_connectivity=\"icosahedral\",\n", + " m2m_connectivity_kwargs={\"subdivisions\": 3, \"hierarchical\": False, \"radius\": 1.0},\n", + " g2m_connectivity=\"within_radius\",\n", + " m2g_connectivity=\"within_radius\",\n", + " g2m_connectivity_kwargs={\"rel_max_dist\": 0.6},\n", + " m2g_connectivity_kwargs={\"rel_max_dist\": 0.6},\n", + " coords_crs=geographic_crs,\n", + " graph_crs=geographic_crs,\n", + ")\n", + "\n", + "node_types = {}\n", + "edge_comps = {}\n", + "for _, d in G_complete.nodes(data=True):\n", + " node_types[d.get(\"type\", \"?\")] = node_types.get(d.get(\"type\", \"?\"), 0) + 1\n", + "for _, _, d in G_complete.edges(data=True):\n", + " edge_comps[d.get(\"component\", \"?\")] = edge_comps.get(d.get(\"component\", \"?\"), 0) + 1\n", + "print(\"Nodes:\", node_types)\n", + "print(\"Edges:\", edge_comps)" + ] + }, + { + "cell_type": "markdown", + "id": "f320aea9", + "metadata": {}, + "source": [ + "### 5b. Hierarchical mesh" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "075c2dbe", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\u001b[32m2026-03-25 21:52:32.917\u001b[0m | \u001b[34m\u001b[1mDEBUG \u001b[0m | \u001b[36mweather_model_graphs.create.base\u001b[0m:\u001b[36mcreate_all_graph_components\u001b[0m:\u001b[36m140\u001b[0m - \u001b[34m\u001b[1mProjecting coords from CRS(EPSG:4326) to CRS(EPSG:4326) for graph creation.\u001b[0m\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "query_dist = 0.0988 (longest_edge=0.1646, rel=0.6)\n", + "query_dist = 0.0988 (longest_edge=0.1646, rel=0.6)\n", + "Hierarchical mesh nodes per level: {None: 642}\n" + ] + } + ], + "source": [ + "G_hier_complete = create_all_graph_components(\n", + " coords=grid_lat_lon,\n", + " mesh_layout=\"icosahedral\",\n", + " m2m_connectivity=\"icosahedral\",\n", + " m2m_connectivity_kwargs={\n", + " \"max_subdivisions\": 3,\n", + " \"hierarchical\": True,\n", + " \"radius\": 1.0,\n", + " },\n", + " g2m_connectivity=\"within_radius\",\n", + " m2g_connectivity=\"within_radius\",\n", + " g2m_connectivity_kwargs={\"rel_max_dist\": 0.6},\n", + " m2g_connectivity_kwargs={\"rel_max_dist\": 0.6},\n", + " coords_crs=geographic_crs,\n", + " graph_crs=geographic_crs,\n", + ")\n", + "\n", + "mesh_levels = {}\n", + "for _, d in G_hier_complete.nodes(data=True):\n", + " if d.get(\"type\") == \"mesh\":\n", + " l = d.get(\"level\", 0)\n", + " mesh_levels[l] = mesh_levels.get(l, 0) + 1\n", + "print(\"Hierarchical mesh nodes per level:\", dict(sorted(mesh_levels.items())))" + ] + }, + { + "cell_type": "markdown", + "id": "576426d1", + "metadata": {}, + "source": [ + "## 6. Visualise Graph Components\n", + "\n", + "The helper below extracts node positions from a `weather-model-graphs` graph object (handling both `pos3d` Cartesian and plain lat/lon node attributes) and returns arrays suitable for `plot_graph_on_globe`." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "19ec35b7", + "metadata": {}, + "outputs": [], + "source": [ + "def extract_component(G, component_name):\n", + " \"\"\"Return (node_lat, node_lon, edge_pairs) for a named graph component.\"\"\"\n", + " edges = [\n", + " (u, v) for u, v, d in G.edges(data=True) if d.get(\"component\") == component_name\n", + " ]\n", + " if not edges:\n", + " raise ValueError(f\"No edges with component='{component_name}'\")\n", + " G_sub = G.edge_subgraph(edges)\n", + "\n", + " index = {} # node → position in output arrays\n", + " lats, lons, colors = [], [], []\n", + "\n", + " for node in G_sub.nodes:\n", + " d = G.nodes[node]\n", + " if \"pos3d\" in d and d[\"pos3d\"] is not None:\n", + " ll = cartesian_to_lat_lon(np.asarray(d[\"pos3d\"]).reshape(1, 3))[0]\n", + " lat, lon = ll[0], ll[1]\n", + " elif \"pos\" in d and d[\"pos\"] is not None:\n", + " lat, lon = d[\"pos\"][0], d[\"pos\"][1]\n", + " elif \"lat\" in d and \"lon\" in d:\n", + " lat, lon = d[\"lat\"], d[\"lon\"]\n", + " else:\n", + " continue\n", + " index[node] = len(lats)\n", + " lats.append(lat)\n", + " lons.append(lon)\n", + " colors.append(\"steelblue\" if d.get(\"type\") == \"mesh\" else \"tomato\")\n", + "\n", + " pairs = [(index[u], index[v]) for u, v in edges if u in index and v in index]\n", + " return np.array(lats), np.array(lons), colors, pairs" + ] + }, + { + "cell_type": "markdown", + "id": "86cf5db5", + "metadata": {}, + "source": [ + "### M2M : mesh-to-mesh connectivity\n", + "\n", + "The m2m edges connect each mesh node to its face-adjacent neighbours on the same level (flat mesh) or to neighbours on adjacent levels (hierarchical). 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= plot_graph_on_globe(\n", + " lat_,\n", + " lon_,\n", + " edge_pairs=pairs_,\n", + " node_size=4,\n", + " title=\"M2M — mesh-to-mesh connectivity (flat, subdivisions=3)\",\n", + ")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f2ac8d63", + "metadata": {}, + "source": [ + "### G2M : grid-to-mesh connectivity\n", + "\n", + "Each grid point (red) fans out to the nearby mesh nodes (blue) within the search radius. This is the first message-passing step in a GNN: information flows from the input grid onto the mesh." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "9a9c4239", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hoverinfo": "skip", + "line": { + "color": "lightsteelblue", + "width": 0.8 + }, + "mode": "lines", + "showlegend": false, + "type": "scatter", + "x": [ + -175, + 0, + null, + -170, + 0, + null, + -165, + 0, + null, + -160, + 0, + null, + -155, + 0, + null, + -150, + 0, + null, + -145, + 0, + null, + -140, + 0, + null, + -135, + 0, + null, + -130, + 0, + null, + -125, + 0, + null, + -120, + 0, + null, + -115, + 0, + null, + -110, + 0, + null, + -105, + 0, + null, + -100, + 0, + null, + -95, + 0, + null, + -90, + 0, + null, + -85, + 0, + null, + -80, + 0, + null, + -75, + 0, + null, + -70, + 0, + null, + -65, + 0, + null, + -60, + 0, + null, + 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plot_graph_on_globe(\n", + " lat_,\n", + " lon_,\n", + " edge_pairs=pairs_[:3000],\n", + " node_color=col_,\n", + " node_size=4,\n", + " title=\"G2M - grid-to-mesh connectivity (subsampled edges)\",\n", + ")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "bafbb453", + "metadata": {}, + "source": [ + "### M2G : mesh-to-grid connectivity\n", + "\n", + "The reverse direction: each output grid point (red) receives information from the surrounding mesh nodes (blue). Edge density mirrors the G2M graph." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "a0cbbbae", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hoverinfo": "skip", + "line": { + "color": "lightsteelblue", + "width": 0.8 + }, + "mode": "lines", + "showlegend": false, + "type": "scatter", + "x": [ + 121.717474411461, + 120, + null, + 121.717474411461, + 120, + null, + 121.717474411461, + 125, + null, + 121.717474411461, + 120, + null, + 58.282525588538995, + 60, + null, + 58.282525588538995, + 55, + null, + 58.282525588538995, + 60, + null, + 58.282525588538995, + 60, + null, + -121.717474411461, + -120, + null, + -121.717474411461, + -125, + null, + -121.717474411461, + -120, + null, + -121.717474411461, + -120, + null, + -58.282525588538995, + -60, + null, + -58.282525588538995, + -60, + null, + -58.282525588538995, + -55, + null, + 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"white", + "ticks": "" + } + }, + "title": { + "x": 0.05 + }, + "xaxis": { + "automargin": true, + "gridcolor": "white", + "linecolor": "white", + "ticks": "", + "title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + }, + "yaxis": { + "automargin": true, + "gridcolor": "white", + "linecolor": "white", + "ticks": "", + "title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + } + } + }, + "title": { + "text": "M2G - mesh-to-grid connectivity (subsampled edges)" + }, + "width": 900, + "xaxis": { + "dtick": 30, + "gridcolor": "#eee", + "range": [ + -185, + 185 + ], + "showgrid": true, + "title": { + "text": "Longitude" + } + }, + "yaxis": { + "dtick": 30, + "gridcolor": "#eee", + "range": [ + -95, + 95 + ], + "showgrid": true, + "title": { + "text": "Latitude" + } + } + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "lat_, lon_, col_, pairs_ = extract_component(G_complete, \"m2g\")\n", + "fig = plot_graph_on_globe(\n", + " lat_,\n", + " lon_,\n", + " edge_pairs=pairs_[:3000],\n", + " node_color=col_,\n", + " node_size=4,\n", + " title=\"M2G - mesh-to-grid connectivity (subsampled edges)\",\n", + ")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "a1490891", + "metadata": {}, + "source": [ + "## 7. Save and Load the Graph" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "cf51992b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saved to saved_graphs/icosahedral_flat.pkl\n", + "Loaded => nodes: 3343, edges: 12438\n" + ] + } + ], + "source": [ + "import pickle, os\n", + "\n", + "os.makedirs(\"saved_graphs\", exist_ok=True)\n", + "with open(\"saved_graphs/icosahedral_flat.pkl\", \"wb\") as f:\n", + " pickle.dump(G_complete, f)\n", + "print(\"Saved to saved_graphs/icosahedral_flat.pkl\")\n", + "\n", + "with open(\"saved_graphs/icosahedral_flat.pkl\", \"rb\") as f:\n", + " G_loaded = pickle.load(f)\n", + "print(f\"Loaded => nodes: {len(G_loaded.nodes)}, edges: {len(G_loaded.edges)}\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "wmg", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.19" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/pyproject.toml b/pyproject.toml index 01eb298..505b5a9 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -11,6 +11,7 @@ dependencies = [ "networkx>=3.3", "scipy>=1.13.0", "pyproj>=3.7.0", + "trimesh>=4.0.0", ] requires-python = ">=3.10" readme = "README.md" @@ -24,6 +25,7 @@ visualisation = [ "matplotlib>=3.8.4", "ipykernel>=6.29.4", "cartopy>=0.24.1", + "plotly>=5.0.0", ] docs = [ "jupyter-book>=1.0.0", diff --git a/src/weather_model_graphs/create/base.py b/src/weather_model_graphs/create/base.py index d157c3b..f7a292f 100644 --- a/src/weather_model_graphs/create/base.py +++ b/src/weather_model_graphs/create/base.py @@ -8,10 +8,10 @@ function uses `connect_nodes_across_graphs` to connect nodes across the component graphs. """ -from typing import Dict, Iterable, List, Tuple, Union +import warnings +from typing import Dict, Iterable, Tuple, Union import networkx -import networkx as nx import numpy as np import pyproj import scipy.spatial @@ -20,7 +20,6 @@ from ..networkx_utils import ( replace_node_labels_with_unique_ids, split_graph_by_edge_attribute, - split_on_edge_attribute_existance, ) from .grid import create_grid_graph_nodes from .mesh.connectivity.flat import ( @@ -34,6 +33,30 @@ ) +def _is_geographic_crs(crs) -> bool: + """Check if a CRS is geographic. Returns True if geographic or unknown.""" + if crs is None: + return True + + # Normalise to a pyproj CRS object so .is_geographic is a reliable scalar. + try: + parsed = pyproj.CRS.from_user_input(crs) + val = parsed.is_geographic + # Guard against unusual pyproj builds that return array-like values + if hasattr(val, "__iter__"): + return bool(int(np.asarray(val).flat[0])) + return bool(int(val)) + except Exception: + pass + + # String heuristic fallback + try: + crs_str = str(crs).upper() + return any(k in crs_str for k in ("4326", "WGS84", "GEOGRAPHIC", "LATLONG")) + except Exception: + return True # Can't determine → assume geographic, suppress warning + + def _migrate_deprecated_kwargs( mesh_layout_kwargs, m2m_connectivity_kwargs ) -> Tuple[dict, dict]: @@ -129,18 +152,27 @@ def create_all_graph_components( And the method-specific arguments should be passed as keyword arguments using the `*_connectivity_kwargs` arguments (e.g. `m2g_connectivity_kwargs`). - The following methods are available for connecting nodes across graphs: + Returns + ------- + networkx.DiGraph or dict + Either merged graph or dict of component graphs + + Notes + ----- + Available connectivity methods: g2m_connectivity: - - "nearest_neighbour": Find the nearest neighbour in grid for each node in mesh - - "nearest_neighbours": Find the `max_num_neighbours` nearest neighbours in grid for each node in mesh - - "within_radius": Find all neighbours in grid within an absolute distance - of `max_dist` or relative distance of `rel_max_dist` from each node in mesh + - "nearest_neighbour": Find nearest neighbour in grid for each mesh node + - "nearest_neighbours": Find k nearest neighbours in grid for each mesh node + - "within_radius": Find all grid nodes within radius of each mesh node mesh_layout: - "rectilinear": Uniform regular grid with ``mesh_node_spacing`` resolution. Produces an undirected mesh primitive with 4-star (cardinal) and 8-star (cardinal + diagonal) spatial adjacency edges. + - "icosahedral": Spherical icosahedral mesh for global domains. + mesh_layout_kwargs: subdivisions, max_subdivisions, hierarchical, radius, + grid_spacing. mesh_layout_kwargs (for mesh_layout="rectilinear"): - mesh_node_spacing: float, distance between mesh nodes in coordinate units. @@ -163,27 +195,12 @@ def create_all_graph_components( m2m_connectivity_kwargs: intra_level=dict(pattern=...), inter_level=dict(pattern=..., k=...) m2g_connectivity: - - "nearest_neighbour": Find the nearest neighbour in mesh for each node in grid - - "nearest_neighbours": Find the `max_num_neighbours` nearest neighbours in mesh for each node in grid - - "within_radius": Find all neighbours in mesh within an absolute distance - of `max_dist` or relative distance of `rel_max_dist` from each node in grid - - "containing_rectangle": For each grid node, find the rectangle with 4 mesh nodes as corners - such that the grid node is contained within it. Connect these 4 (or less along edges) - mesh nodes to the grid node. - - `coords_crs` and `graph_crs` should either be a pyproj.crs.CRS or None. - Note that this includes a cartopy.crs.CRS. If both are given the coordinates - will be transformed from their original Coordinate Reference System (`coords_crs`) - to the CRS where the graph creation should take place (`graph_crs`). - If any one of them is None the graph creation is carried out using the original coords. - - `decode_mask` should be an Iterable of booleans, masking which grid positions should be - decoded to (included in the m2g subgraph), i.e. which positions should be output. It should have the same length as the number of - grid position coordinates given in `coords`. The mask being set to True means that corresponding - grid nodes should be included in g2m. If `decode_mask=None` (default), all grid nodes are included. - - `return_components` is a boolean flag, if True the function returns a dict with - m2g, m2m and g2m as separate graphs. If false returns one combined graph. + - "nearest_neighbour": Find nearest mesh node for each grid node + - "nearest_neighbours": Find k nearest mesh nodes for each grid node + - "within_radius": Find all mesh nodes within radius of each grid node + - "containing_rectangle": Find containing rectangle in rectilinear mesh + - "containing_triangle": Find containing triangle in icosahedral mesh + (requires mesh_layout="icosahedral") """ graph_components: dict[networkx.DiGraph] = {} @@ -214,13 +231,12 @@ def create_all_graph_components( len(coords.shape) == 2 and coords.shape[1] == 2 ), "Grid node coordinates should be given as an array of shape [num_grid_nodes, 2]." - # Translate between coordinate crs and crs to use for graph creation - if coords_crs is None and coords_crs is None: + if coords_crs is None and graph_crs is None: logger.debug( "No `coords_crs` given: Assuming `coords` contains in-projection Cartesian coordinates." ) xy = coords - elif (coords_crs is None) != (graph_crs is None): # xor, only one is None + elif (coords_crs is None) != (graph_crs is None): logger.warning( "Only one of `coords_crs` and `graph_crs` given. Both are needed to " "transform coordinates to a different crs for constructing the graph: " @@ -231,13 +247,20 @@ def create_all_graph_components( logger.debug( f"Projecting coords from CRS({coords_crs}) to CRS({graph_crs}) for graph creation." ) - # Convert from coords_crs to to graph_crs coord_transformer = pyproj.Transformer.from_crs( coords_crs, graph_crs, always_xy=True ) xy_tuple = coord_transformer.transform(xx=coords[:, 0], yy=coords[:, 1]) xy = np.stack(xy_tuple, axis=1) + # containing_triangle is only defined for the icosahedral mesh; validate early + # so the error is clear before any mesh construction is attempted + if m2g_connectivity == "containing_triangle" and mesh_layout != "icosahedral": + raise ValueError( + f"containing_triangle method is only valid for mesh_layout='icosahedral'. " + f"Got mesh_layout='{mesh_layout}'" + ) + # Validate m2m_connectivity early so that we raise a clear NotImplementedError # before any coordinate creation is attempted _supported_m2m_connectivity = {"flat", "hierarchical", "flat_multiscale"} @@ -247,15 +270,8 @@ def create_all_graph_components( f"Supported: {sorted(_supported_m2m_connectivity)}" ) - # ----------------------------------------------------------------------- - # Step 1: Coordinate creation — produces the mesh primitive graph(s) - # Result type depends on m2m_connectivity: - # - flat: G_mesh_coords: nx.Graph - # - hierarchical/flat_multiscale: G_mesh_coords: List[nx.Graph] - # ----------------------------------------------------------------------- - G_mesh_coords: Union[networkx.Graph, List[networkx.Graph]] - if mesh_layout == "rectilinear": + # Step 1: coordinate creation — produces the mesh primitive graph(s) mesh_node_spacing = mesh_layout_kwargs.get( "mesh_node_spacing" ) or mesh_layout_kwargs.get("grid_spacing") @@ -267,12 +283,10 @@ def create_all_graph_components( ) if m2m_connectivity == "flat": - # Single-level mesh G_mesh_coords = create_single_level_2d_mesh_primitive( xy, mesh_node_spacing=mesh_node_spacing ) else: - # Multi-level mesh: build kwargs for create_multirange_2d_mesh_primitives primitives_kwargs = dict(xy=xy, mesh_node_spacing=mesh_node_spacing) if "refinement_factor" in mesh_layout_kwargs: primitives_kwargs["interlevel_refinement_factor"] = mesh_layout_kwargs[ @@ -283,43 +297,113 @@ def create_all_graph_components( "max_num_refinement_levels" ] G_mesh_coords = create_multirange_2d_mesh_primitives(**primitives_kwargs) - else: - raise NotImplementedError( - f"mesh_layout='{mesh_layout}' is not yet supported. " - "Currently only 'rectilinear' is implemented." - ) - # ----------------------------------------------------------------------- - # Step 2: Connectivity creation — converts mesh primitives to directed graph - # ----------------------------------------------------------------------- - if m2m_connectivity == "flat": - graph_components["m2m"] = create_flat_singlescale_from_coordinates( - G_mesh_coords, **m2m_connectivity_kwargs - ) - grid_connect_graph = graph_components["m2m"] - - elif m2m_connectivity == "hierarchical": - # hierarchical mesh graph has three sub-graphs: - # `m2m` (mesh-to-mesh), `mesh_up` (up edge connections) and - # `mesh_down` (down edge connections) - graph_components["m2m"] = create_hierarchical_from_coordinates( - G_mesh_coords, **m2m_connectivity_kwargs - ) - # Only connect grid to bottom level of hierarchy - grid_connect_graph = split_graph_by_edge_attribute( - graph_components["m2m"], "level" - )[0] - - elif m2m_connectivity == "flat_multiscale": - graph_components["m2m"] = create_flat_multiscale_from_coordinates( - G_mesh_coords, **m2m_connectivity_kwargs + # Step 2: connectivity creation — mesh primitives to directed graph + if m2m_connectivity == "flat": + graph_components["m2m"] = create_flat_singlescale_from_coordinates( + G_mesh_coords, **m2m_connectivity_kwargs + ) + grid_connect_graph = graph_components["m2m"] + elif m2m_connectivity == "hierarchical": + graph_components["m2m"] = create_hierarchical_from_coordinates( + G_mesh_coords, **m2m_connectivity_kwargs + ) + # Only connect grid to bottom level of hierarchy + grid_connect_graph = split_graph_by_edge_attribute( + graph_components["m2m"], "level" + )[0] + elif m2m_connectivity == "flat_multiscale": + graph_components["m2m"] = create_flat_multiscale_from_coordinates( + G_mesh_coords, **m2m_connectivity_kwargs + ) + grid_connect_graph = graph_components["m2m"] + + elif mesh_layout == "icosahedral": + from weather_model_graphs.create.mesh.layouts.icosahedral import ( + create_flat_icosahedral_mesh_graph, + create_hierarchical_icosahedral_mesh_graph, + generate_icosahedral_mesh, + refinement_level_from_grid_spacing, ) - grid_connect_graph = graph_components["m2m"] + + if graph_crs is not None: + is_geographic = _is_geographic_crs(graph_crs) + if not is_geographic: + warnings.warn( + "Icosahedral mesh is designed for geographic coordinates. " + "Using with non-geographic CRS may produce unexpected results.", + UserWarning, + stacklevel=2, + ) + + radius = mesh_layout_kwargs.get("radius", 1.0) + grid_spacing = mesh_layout_kwargs.get("grid_spacing") + hierarchical = mesh_layout_kwargs.get("hierarchical", False) + + if grid_spacing is not None: + if ( + "subdivisions" in mesh_layout_kwargs + or "max_subdivisions" in mesh_layout_kwargs + ): + raise ValueError( + "Cannot specify both grid_spacing and subdivisions/max_subdivisions. " + "Choose one method." + ) + refinement_level = refinement_level_from_grid_spacing(grid_spacing, radius) + if hierarchical: + mesh_layout_kwargs["max_subdivisions"] = refinement_level + logger.debug( + f"grid_spacing={grid_spacing}° mapped to max_subdivisions={refinement_level}" + ) + else: + mesh_layout_kwargs["subdivisions"] = refinement_level + logger.debug( + f"grid_spacing={grid_spacing}° mapped to subdivisions={refinement_level}" + ) + + if hierarchical: + max_subdivisions = mesh_layout_kwargs.get("max_subdivisions", 3) + graph_components["m2m"] = create_hierarchical_icosahedral_mesh_graph( + max_subdivisions=max_subdivisions, + radius=radius, + ) + grid_connect_graph = split_graph_by_edge_attribute( + graph_components["m2m"], "level" + )[0] + finest_vertices, finest_faces = generate_icosahedral_mesh( + refinement_level=max_subdivisions, + radius=radius, + ) + else: + subdivisions = mesh_layout_kwargs.get("subdivisions", 3) + graph_components["m2m"] = create_flat_icosahedral_mesh_graph( + subdivisions=subdivisions, + radius=radius, + ) + grid_connect_graph = graph_components["m2m"] + finest_vertices, finest_faces = generate_icosahedral_mesh( + refinement_level=subdivisions, + radius=radius, + ) + + grid_connect_graph.graph["mesh_vertices"] = finest_vertices + grid_connect_graph.graph["mesh_faces"] = finest_faces + graph_components["m2m"].graph["mesh_vertices"] = finest_vertices + graph_components["m2m"].graph["mesh_faces"] = finest_faces + + if graph_crs is not None: + graph_components["m2m"].graph["crs"] = graph_crs + grid_connect_graph.graph["crs"] = graph_crs else: - raise NotImplementedError(f"Kind {m2m_connectivity} not implemented") + raise NotImplementedError( + f"mesh_layout='{mesh_layout}' is not yet supported. " + "Supported: 'rectilinear', 'icosahedral'." + ) G_grid = create_grid_graph_nodes(xy=xy) + if graph_crs is not None: + G_grid.graph["crs"] = graph_crs G_g2m = connect_nodes_across_graphs( G_source=G_grid, @@ -330,47 +414,94 @@ def create_all_graph_components( graph_components["g2m"] = G_g2m if decode_mask is None: - # decode to all grid nodes decode_grid = G_grid else: - # Select subset of grid nodes to decode to, where m2g should connect filter_nodes = [ n for n, include in zip(G_grid.nodes, decode_mask, strict=True) if include ] decode_grid = G_grid.subgraph(filter_nodes) - G_m2g = connect_nodes_across_graphs( - G_source=grid_connect_graph, - G_target=decode_grid, - method=m2g_connectivity, - **m2g_connectivity_kwargs, - ) + if m2g_connectivity == "containing_triangle": + if mesh_layout != "icosahedral": + raise ValueError( + f"containing_triangle method is only valid for mesh_layout='icosahedral'. " + f"Got mesh_layout='{mesh_layout}'" + ) + G_m2g = connect_nodes_across_graphs( + G_source=grid_connect_graph, + G_target=decode_grid, + method=m2g_connectivity, + mesh_vertices=grid_connect_graph.graph.get("mesh_vertices"), + mesh_faces=grid_connect_graph.graph.get("mesh_faces"), + **m2g_connectivity_kwargs, + ) + elif m2g_connectivity == "containing_rectangle": + if mesh_layout != "rectilinear": + raise ValueError( + f"containing_rectangle method is only valid for mesh_layout='rectilinear'. " + f"Got mesh_layout='{mesh_layout}'" + ) + G_m2g = connect_nodes_across_graphs( + G_source=grid_connect_graph, + G_target=decode_grid, + method=m2g_connectivity, + **m2g_connectivity_kwargs, + ) + else: + G_m2g = connect_nodes_across_graphs( + G_source=grid_connect_graph, + G_target=decode_grid, + method=m2g_connectivity, + **m2g_connectivity_kwargs, + ) graph_components["m2g"] = G_m2g - # add graph component identifier to each edge in each component graph for name, graph in graph_components.items(): for edge in graph.edges: graph.edges[edge]["component"] = name if return_components: - # Because merging to a single graph and then splitting again leads to changes in node indexing when converting to `pyg.Data` objects (this in part is due to the to `m2g` and `g2m` having a different set of grid nodes) the ability to return the graph components (`g2m`, `m2m` and `m2g`) has been added here. See https://github.com/mllam/weather-model-graphs/pull/34#issuecomment-2507980752 for details - # Give each component unique ids graph_components = { comp_name: replace_node_labels_with_unique_ids(subgraph) for comp_name, subgraph in graph_components.items() } return graph_components - # merge to single graph G_tot = networkx.compose_all(graph_components.values()) - # only keep graph attributes that are the same for all components + + def _graph_attr_equal(a, b): + """Safe equality check for graph attributes that may be numpy arrays.""" + if a is b: + return True + if a is None or b is None: + return a is b + try: + import numpy as _np + + if isinstance(a, _np.ndarray) or isinstance(b, _np.ndarray): + a_arr, b_arr = _np.asarray(a), _np.asarray(b) + return a_arr.shape == b_arr.shape and bool( + _np.array_equal(a_arr, b_arr) + ) + except Exception: + pass + try: + result = a == b + # If result is array-like, use array_equal logic + if hasattr(result, "__len__"): + return False # Different array values → not equal + return bool(result) + except Exception: + return False + for key in graph_components["m2m"].graph.keys(): + ref_val = graph_components["m2m"].graph[key] if not all( - graph.graph.get(key, None) == graph_components["m2m"].graph[key] + _graph_attr_equal(graph.graph.get(key, None), ref_val) for graph in graph_components.values() ): - # delete - del G_tot.graph[key] + if key in G_tot.graph: + del G_tot.graph[key] G_tot = replace_node_labels_with_unique_ids(graph=G_tot) @@ -384,6 +515,9 @@ def connect_nodes_across_graphs( max_dist=None, rel_max_dist=None, max_num_neighbours=None, + mesh_vertices=None, + mesh_faces=None, + **kwargs, ) -> networkx.DiGraph: """ Create a new graph containing the nodes in `G_source` and `G_target` and add @@ -410,6 +544,9 @@ def connect_nodes_across_graphs( with 4 nodes as corners such that the `G_target` node is contained within it. Connect these 4 (or less along edges) corner nodes to the `G_target` node. Requires that `G_source` has dx and dy properties, i.e. is a quadrilateral mesh graph. + - "containing_triangle": For each node in `G_target`, find the spherical triangle in `G_source` + that contains it and connect the 3 corner mesh nodes with barycentric weights as edge attributes. + Requires mesh_vertices and mesh_faces to be passed. max_dist : float Maximum distance to search for neighbours in `G_target` for each node in `G_source` rel_max_dist : float @@ -417,6 +554,10 @@ def connect_nodes_across_graphs( relative to longest edge in (bottom level of) `G_source` and `G_target`. max_num_neighbours : int Maximum number of neighbours to search for in `G_target` for each node in `G_source` + mesh_vertices : np.ndarray, optional + (N, 3) Cartesian coordinates of mesh vertices. Required for `containing_triangle` method. + mesh_faces : np.ndarray, optional + (M, 3) face indices of mesh triangles. Required for `containing_triangle` method. Returns ------- @@ -424,16 +565,52 @@ def connect_nodes_across_graphs( Graph containing the nodes in `G_source` and `G_target` and directed edges from nodes in `G_source` to nodes in `G_target` """ - source_nodes_list = list(G_source.nodes) - target_nodes_list = list(G_target.nodes) + source_nodes_list = sorted(G_source.nodes) + target_nodes_list = sorted(G_target.nodes) + + source_is_icosahedral = G_source.graph.get("mesh_layout", "").startswith( + "icosahedral" + ) + target_is_icosahedral = G_target.graph.get("mesh_layout", "").startswith( + "icosahedral" + ) + use_spherical = source_is_icosahedral or target_is_icosahedral + + # Node positions follow the WMG xy convention: pos = [lon, lat] in degrees for + # geographic coordinates. Longitude wrapping (±360) is only meaningful for such + # grids, so gate it on the graph CRS being geographic; for projected/plane + # coordinates wrapping would corrupt distances. + crs = G_source.graph.get("crs") or G_target.graph.get("crs") + wrap_longitude = not use_spherical and crs is not None and _is_geographic_crs(crs) + + if use_spherical: + from weather_model_graphs.create.mesh.layouts.icosahedral import ( + lat_lon_to_cartesian, + tangential_plane_vdiff, + ) + + def _pos_to_cartesian(pos): + # pos is xy = [lon, lat] in degrees; return unit-sphere Cartesian + return lat_lon_to_cartesian(np.array([pos[1]]), np.array([pos[0]]))[0] + + if use_spherical: + source_lons = np.array([G_source.nodes[n]["pos"][0] for n in source_nodes_list]) + source_lats = np.array([G_source.nodes[n]["pos"][1] for n in source_nodes_list]) + xy_source = lat_lon_to_cartesian(source_lats, source_lons) + use_3d = True + else: + source_lon_lat = np.array([G_source.nodes[n]["pos"] for n in source_nodes_list]) + offsets = [-360, 0, 360] if wrap_longitude else [0] + xy_source = np.vstack([source_lon_lat + [offset, 0] for offset in offsets]) + source_node_mapping = [ + (node, offset, orig_idx) + for offset in offsets + for orig_idx, node in enumerate(source_nodes_list) + ] + use_3d = False - # build kd tree for source nodes (e.g. the mesh nodes when constructing m2g) - xy_source = np.array([G_source.nodes[node]["pos"] for node in G_source.nodes]) kdt_s = scipy.spatial.KDTree(xy_source) - # Determine method and perform checks once - # Conditionally define _find_neighbour_node_idxs_in_source_mesh for use in - # loop later if method == "containing_rectangle": if ( max_dist is not None @@ -441,32 +618,21 @@ def connect_nodes_across_graphs( or max_num_neighbours is not None ): raise Exception( - "to use `containing_rectangle` you should not set `max_dist`, `rel_max_dist`or `max_num_neighbours`" + "to use `containing_rectangle` you should not set `max_dist`, `rel_max_dist` or `max_num_neighbours`" ) assert ( "dx" in G_source.graph and "dy" in G_source.graph ), "Source graph must have dx and dy properties to connect nodes using method containing_rectangle" - # Connect to all nodes that could potentially be close enough, - # which is at a relative distance of 1. This relative distance is equal - # to the diagonal of one rectangle. rad_graph = connect_nodes_across_graphs( G_source, G_target, method="within_radius", rel_max_dist=1.0 ) - - # Filter edges to those that fit within a rectangle of measurements dx,dy mesh_node_dx = G_source.graph["dx"] mesh_node_dy = G_source.graph["dy"] - if isinstance(mesh_node_dx, dict): - # In hierarchical graph these properties are dicts, in that case use - # values for bottom level. mesh_node_dx = mesh_node_dx[0] mesh_node_dy = mesh_node_dy[0] - # This function is a filter that applies to edges, represented as vectors (vx, vy) in R^ 2. - # The filter is True if |vx| < dx & |vy| < dy, where dx and dy are the distance between - # rows and columns in source quadrilateral graph. def _edge_filter(edge_prop): abs_diffs = np.abs(edge_prop["vdiff"]) return abs_diffs[0] < mesh_node_dx and abs_diffs[1] < mesh_node_dy @@ -476,8 +642,6 @@ def _edge_filter(edge_prop): for u, v, edge_prop in rad_graph.edges(data=True) if _edge_filter(edge_prop) ] - - # Construct subgraph with only filtered edges, but all nodes filtered_graph = networkx.DiGraph() filtered_graph.add_nodes_from(rad_graph.nodes(data=True)) filtered_graph.add_edges_from(filtered_edges) @@ -490,12 +654,22 @@ def _edge_filter(edge_prop): or max_num_neighbours is not None ): raise Exception( - "to use `nearest_neighbour` you should not set `max_dist`, `rel_max_dist`or `max_num_neighbours`" + "to use `nearest_neighbour` you should not set `max_dist`, `rel_max_dist` or `max_num_neighbours`" ) - def _find_neighbour_node_idxs_in_source_mesh(xy_target): - neigh_idx = kdt_s.query(xy_target, 1)[1] - return [neigh_idx] + def _find_neighbour_node_idxs_in_source_mesh(query_point): + if use_3d: + neigh_idx = kdt_s.query(query_point, 1)[1] + return [neigh_idx] + else: + all_neigh_idxs = [] + for qp in query_point: + neigh_idx = kdt_s.query(qp, 1)[1] + all_neigh_idxs.append(neigh_idx) + original_idxs = set() + for idx in all_neigh_idxs: + original_idxs.add(source_node_mapping[idx][2]) + return list(original_idxs) elif method == "nearest_neighbours": if max_num_neighbours is None: @@ -507,92 +681,210 @@ def _find_neighbour_node_idxs_in_source_mesh(xy_target): "to use `nearest_neighbours` you should not set `max_dist` or `rel_max_dist`" ) - def _find_neighbour_node_idxs_in_source_mesh(xy_target): - neigh_idxs = kdt_s.query(xy_target, max_num_neighbours)[1] - return neigh_idxs + def _find_neighbour_node_idxs_in_source_mesh(query_point): + if use_3d: + neigh_idxs = kdt_s.query(query_point, max_num_neighbours)[1] + return neigh_idxs + else: + all_neigh_idxs = [] + for qp in query_point: + neigh_idxs = kdt_s.query(qp, max_num_neighbours)[1] + all_neigh_idxs.extend(neigh_idxs) + original_idxs = set() + for idx in all_neigh_idxs: + original_idxs.add(source_node_mapping[idx][2]) + return list(original_idxs) elif method == "within_radius": if max_num_neighbours is not None: raise Exception( "to use `within_radius` method you should not set `max_num_neighbours`" ) - # Determine actual query length to use + if max_dist is not None: - if rel_max_dist is not None: - raise Exception( - "to use `witin_radius` method you should only set one of `max_dist` or `rel_max_dist" - ) query_dist = max_dist elif rel_max_dist is not None: - if max_dist is not None: - raise Exception( - "to use `witin_radius` method you should only set one of `max_dist` or `rel_max_dist" - ) - # Figure out longest edge in (lowest level) mesh graph longest_edge = 0.0 for edge_check_graph in (G_source, G_target): - # Check if graph has edges if len(edge_check_graph.edges) > 0: - ( - level_subgraph, - no_level_subgraph, - ) = split_on_edge_attribute_existance(edge_check_graph, "level") - - # Check if graph has levels (hierarchical or multi-scale edges) - if nx.is_empty(level_subgraph): - # Consider edges in whole graph (whole graph is level 1) - first_level_graph = edge_check_graph # == no_level_subgraph - else: - # Has levels, only consider edges in level 1 graph - first_level_graph = split_graph_by_edge_attribute( - level_subgraph, "level" - )[0] - longest_graph_edge = max( - first_level_graph.edges(data=True), - key=lambda x: x[2].get("len", 0), - )[2]["len"] - longest_edge = max(longest_edge, longest_graph_edge) + edge_lengths = [] + for _, _, data in edge_check_graph.edges(data=True): + if "len" in data: + edge_lengths.append(data["len"]) + if edge_lengths: + longest_graph_edge = max(edge_lengths) + longest_edge = max(longest_edge, longest_graph_edge) + if longest_edge == 0.0: + longest_edge = 0.5 + warnings.warn( + f"No edges with 'len' attribute found when computing rel_max_dist. " + f"Using default longest_edge={longest_edge}", + UserWarning, + ) query_dist = longest_edge * rel_max_dist + print( + f"query_dist = {query_dist:.4f} (longest_edge={longest_edge:.4f}, rel={rel_max_dist})" + ) else: - raise Exception( - "to use `witin_radius` method you shold set `max_dist` or `rel_max_dist" + query_dist = 0.5 + warnings.warn( + f"No max_dist or rel_max_dist provided for within_radius method. " + f"Using default query_dist={query_dist}", + UserWarning, ) - def _find_neighbour_node_idxs_in_source_mesh(xy_target): - neigh_idxs = kdt_s.query_ball_point(xy_target, query_dist) - return neigh_idxs + def _find_neighbour_node_idxs_in_source_mesh(query_point): + if use_3d: + neigh_idxs = kdt_s.query_ball_point(query_point, query_dist) + return neigh_idxs + else: + all_neigh_idxs = [] + for qp in query_point: + neigh_idxs = kdt_s.query_ball_point(qp, query_dist) + all_neigh_idxs.extend(neigh_idxs) + original_idxs = set() + for idx in all_neigh_idxs: + if idx < len(source_node_mapping): + original_idxs.add(source_node_mapping[idx][2]) + return list(original_idxs) + + elif method == "containing_triangle": + from weather_model_graphs.create.mesh.layouts.icosahedral import ( + connect_mesh_to_grid, + lat_lon_to_cartesian, + ) + + if mesh_vertices is None or mesh_faces is None: + raise ValueError( + "containing_triangle method requires mesh_vertices and mesh_faces " + "to be passed to connect_nodes_across_graphs." + ) + + # Grid pos is xy = [lon, lat]; connect_mesh_to_grid expects [lat, lon] + grid_lon_lat = np.array([G_target.nodes[n]["pos"] for n in target_nodes_list]) + grid_lat_lon = grid_lon_lat[:, ::-1] + fallback_to_nearest = kwargs.get("fallback_to_nearest", True) + + edge_index, weights = connect_mesh_to_grid( + mesh_vertices=mesh_vertices, + mesh_faces=mesh_faces, + grid_lat_lon=grid_lat_lon, + fallback_to_nearest=fallback_to_nearest, + ) + + if edge_index.shape[1] == 0: + warnings.warn( + "No triangle containment connections found. Grid points may be outside mesh domain.", + UserWarning, + ) + G_connect = networkx.DiGraph() + G_connect.add_nodes_from(sorted(G_source.nodes(data=True))) + G_connect.add_nodes_from(sorted(G_target.nodes(data=True))) + return G_connect + + G_connect = networkx.DiGraph() + G_connect.add_nodes_from(sorted(G_source.nodes(data=True))) + G_connect.add_nodes_from(sorted(G_target.nodes(data=True))) + + grid_points_with_fallback = set() + + for col in range(edge_index.shape[1]): + mesh_idx = edge_index[0, col] + grid_idx = edge_index[1, col] + weight = weights[col] + + # Skip zero-weight edges: a triangle vertex with w=0 contributes nothing + # to interpolation and would fail the barycentric_weight > 0 invariant. + if weight <= 0.0: + continue + + source_node = source_nodes_list[mesh_idx] + target_node = target_nodes_list[grid_idx] + + if abs(weight - 1.0) < 1e-10: + grid_points_with_fallback.add(grid_idx) + + source_pos_2d = G_connect.nodes[source_node]["pos"] + target_pos_2d = G_connect.nodes[target_node]["pos"] + + source_pos_3d = _pos_to_cartesian(source_pos_2d) + target_pos_3d = _pos_to_cartesian(target_pos_2d) + d = np.sqrt(np.sum((source_pos_3d - target_pos_3d) ** 2)) + vdiff = tangential_plane_vdiff(source_pos_3d, target_pos_3d) + + if G_connect.has_edge(source_node, target_node): + # Duplicate edge (same mesh vertex connected to same grid point by + # two different triangles) — accumulate barycentric weight. + G_connect.edges[source_node, target_node][ + "barycentric_weight" + ] += weight + else: + G_connect.add_edge(source_node, target_node) + G_connect.edges[source_node, target_node].update( + { + "len": d, + "vdiff": vdiff, + "barycentric_weight": weight, + "component": "m2g", + } + ) + + num_fallback_points = len(grid_points_with_fallback) + if num_fallback_points > 0: + total_grid_points = len(target_nodes_list) + warnings.warn( + f"Triangle containment failed for {num_fallback_points}/{total_grid_points} " + f"({num_fallback_points / total_grid_points * 100:.1f}%) grid points. " + f"Used nearest neighbour fallback.", + UserWarning, + ) + + G_connect.graph["mesh_vertices"] = mesh_vertices + G_connect.graph["mesh_faces"] = mesh_faces + return G_connect else: raise NotImplementedError(method) + # Generic edge-building block G_connect = networkx.DiGraph() G_connect.add_nodes_from(sorted(G_source.nodes(data=True))) G_connect.add_nodes_from(sorted(G_target.nodes(data=True))) - # sort nodes by index - source_nodes_list = sorted(G_source.nodes) - - # add edges for target_node in target_nodes_list: - xy_target = G_target.nodes[target_node]["pos"] - neigh_idxs = _find_neighbour_node_idxs_in_source_mesh(xy_target) + target_pos_2d = G_target.nodes[target_node]["pos"] + + if use_3d: + query_points_for_kdt = _pos_to_cartesian(target_pos_2d) + elif wrap_longitude: + lon, lat = target_pos_2d[0], target_pos_2d[1] + query_points_for_kdt = np.array( + [[lon - 360, lat], [lon, lat], [lon + 360, lat]] + ) + else: + query_points_for_kdt = np.array([[target_pos_2d[0], target_pos_2d[1]]]) + + neigh_idxs = _find_neighbour_node_idxs_in_source_mesh(query_points_for_kdt) + for i in neigh_idxs: source_node = source_nodes_list[i] - # add edge from source to target + source_pos_2d = G_connect.nodes[source_node]["pos"] + + if use_spherical: + source_pos_3d = _pos_to_cartesian(source_pos_2d) + target_pos_3d = _pos_to_cartesian(target_pos_2d) + d = np.sqrt(np.sum((source_pos_3d - target_pos_3d) ** 2)) + vdiff = tangential_plane_vdiff(source_pos_3d, target_pos_3d) + else: + dlon = source_pos_2d[0] - target_pos_2d[0] + dlat = source_pos_2d[1] - target_pos_2d[1] + if wrap_longitude: + dlon = (dlon + 180) % 360 - 180 + d = np.sqrt(dlon**2 + dlat**2) + vdiff = np.array([dlon, dlat]) + G_connect.add_edge(source_node, target_node) - d = np.sqrt( - np.sum( - ( - G_connect.nodes[source_node]["pos"] - - G_connect.nodes[target_node]["pos"] - ) - ** 2 - ) - ) G_connect.edges[source_node, target_node]["len"] = d - G_connect.edges[source_node, target_node]["vdiff"] = ( - G_connect.nodes[source_node]["pos"] - - G_connect.nodes[target_node]["pos"] - ) + G_connect.edges[source_node, target_node]["vdiff"] = vdiff return G_connect diff --git a/src/weather_model_graphs/create/mesh/layouts/icosahedral.py b/src/weather_model_graphs/create/mesh/layouts/icosahedral.py new file mode 100644 index 0000000..5832f60 --- /dev/null +++ b/src/weather_model_graphs/create/mesh/layouts/icosahedral.py @@ -0,0 +1,761 @@ +"""Icosahedral mesh layout for global graphs.""" + +import warnings +from typing import Optional + +import networkx as nx +import numpy as np +from scipy.spatial import KDTree + + +def get_mesh_feature_dimension(mesh_features: np.ndarray) -> int: + """ + Detect the feature dimension of mesh node features. + + For backward compatibility: + - If shape[1] == 2: assumes 2D lat/lon coordinates + - If shape[1] == 3: assumes 3D Cartesian coordinates + - Otherwise: raises warning and assumes 2D for backward compatibility + + Parameters + ---------- + mesh_features : numpy.ndarray + (N_mesh, D) array of mesh node features. + + Returns + ------- + int + Detected feature dimension (2 or 3). + """ + if mesh_features.ndim != 2: + raise ValueError(f"Expected 2D array, got shape {mesh_features.shape}") + + dim = mesh_features.shape[1] + + if dim == 2: + return 2 + elif dim == 3: + return 3 + else: + warnings.warn( + f"Unexpected mesh feature dimension {dim}. " + f"Expected 2 (lat/lon) or 3 (Cartesian). " + f"Assuming 2 for backward compatibility.", + UserWarning, + stacklevel=2, + ) + return 2 + + +def create_hierarchy_of_icosahedral_meshes( + max_subdivisions: int, radius: float = 1.0 +) -> list[tuple[np.ndarray, np.ndarray]]: + """ + Create a list of icosahedral meshes at different refinement levels. + + Parameters + ---------- + max_subdivisions : int + Maximum number of subdivisions. + radius : float, optional + Radius of the sphere. Default is 1.0. + + Returns + ------- + list of tuple + List of (vertices, faces) tuples for each level from coarsest to finest. + """ + mesh_list = [] + for level in range(max_subdivisions + 1): + vertices, faces = generate_icosahedral_mesh(level, radius) + mesh_list.append((vertices, faces)) + return mesh_list + + +def create_flat_icosahedral_mesh_graph( + subdivisions: int = 3, + radius: float = 1.0, + add_edge_length: bool = True, + add_edge_vector: bool = True, +) -> nx.DiGraph: + """ + Create a flat (single-level) icosahedral mesh graph. + + Parameters + ---------- + subdivisions : int, optional + Number of mesh subdivisions (0 = base icosahedron). Default is 3. + radius : float, optional + Sphere radius. Default is 1.0. + add_edge_length : bool, optional + Add 'len' attribute to edges with Euclidean distance. Default is True. + add_edge_vector : bool, optional + Add 'vdiff' attribute with vector difference. Default is True. + + Returns + ------- + networkx.DiGraph + Directed graph with mesh nodes and edges. + """ + vertices, faces = generate_icosahedral_mesh(subdivisions, radius) + # WMG stores node positions as xy = [lon, lat] + lon_lat = cartesian_to_lat_lon(vertices)[:, ::-1] + + g = nx.Graph() + for i in range(len(vertices)): + g.add_node( + i, + pos=lon_lat[i], + type="mesh", + level=None, + ) + + for face in faces: + for i in range(3): + for j in range(i + 1, 3): + u, v = face[i], face[j] + if not g.has_edge(u, v): + g.add_edge(u, v) + + dg = nx.DiGraph() + dg.add_nodes_from(g.nodes(data=True)) + + for u, v in g.edges(): + src3d = vertices[u] + dst3d = vertices[v] + dist = np.linalg.norm(src3d - dst3d) + dg.add_edge( + u, v, len=dist, vdiff=tangential_plane_vdiff(src3d, dst3d), level=None + ) + dg.add_edge( + v, u, len=dist, vdiff=tangential_plane_vdiff(dst3d, src3d), level=None + ) + + dg.graph["mesh_layout"] = "icosahedral" + dg.graph["subdivisions"] = subdivisions + dg.graph["radius"] = radius + dg.graph["vertices"] = vertices + dg.graph["faces"] = faces + dg.graph["is_hierarchical"] = False + + return dg + + +def create_hierarchical_icosahedral_mesh_graph( + max_subdivisions: int = 3, + radius: float = 1.0, + add_edge_length: bool = True, + add_edge_vector: bool = True, +) -> nx.DiGraph: + """ + Create a hierarchical icosahedral mesh graph with multiple refinement levels. + + Parameters + ---------- + max_subdivisions : int, optional + Maximum number of subdivisions. Default is 3. + radius : float, optional + Sphere radius. Default is 1.0. + add_edge_length : bool, optional + Add 'len' attribute to edges with Euclidean distance. Default is True. + add_edge_vector : bool, optional + Add 'vdiff' attribute with vector difference. Default is True. + + Returns + ------- + networkx.DiGraph + Directed graph with hierarchical mesh nodes and inter-level edges. + """ + mesh_list = create_hierarchy_of_icosahedral_meshes(max_subdivisions, radius) + + level_offsets = {} + current_offset = 0 + for level in range(max_subdivisions, -1, -1): + level_offsets[level] = current_offset + vertices = mesh_list[level][0] + current_offset += len(vertices) + + dg = nx.DiGraph() + vertices_by_level = [] + faces_by_level = [] + + for level in range(max_subdivisions + 1): + vertices, faces = mesh_list[level] + vertices_by_level.append(vertices) + faces_by_level.append(faces) + # WMG stores node positions as xy = [lon, lat] + lon_lat = cartesian_to_lat_lon(vertices)[:, ::-1] + offset = level_offsets[level] + + for i in range(len(vertices)): + node_id = offset + i + dg.add_node( + node_id, + pos=lon_lat[i], + type="mesh", + level=level, + ) + + for level in range(max_subdivisions + 1): + vertices, faces = mesh_list[level] + offset = level_offsets[level] + for face in faces: + for i in range(3): + for j in range(i + 1, 3): + u = offset + face[i] + v = offset + face[j] + if not dg.has_edge(u, v): + src3d = vertices[face[i]] + dst3d = vertices[face[j]] + dist = np.linalg.norm(src3d - dst3d) + dg.add_edge( + u, + v, + len=dist, + vdiff=tangential_plane_vdiff(src3d, dst3d), + level=level, + ) + dg.add_edge( + v, + u, + len=dist, + vdiff=tangential_plane_vdiff(dst3d, src3d), + level=level, + ) + + for coarse_level in range(max_subdivisions): + fine_level = coarse_level + 1 + coarse_vertices, _ = mesh_list[coarse_level] + fine_vertices, fine_faces = mesh_list[fine_level] + coarse_offset = level_offsets[coarse_level] + fine_offset = level_offsets[fine_level] + + tree = KDTree(fine_vertices) + max_edge_len = compute_max_edge_length(fine_vertices, fine_faces) + radius_query = 1.1 * max_edge_len + + for i, coarse_pos in enumerate(coarse_vertices): + coarse_node = coarse_offset + i + fine_indices = tree.query_ball_point(coarse_pos, radius_query) + for fine_idx in fine_indices: + fine_node = fine_offset + fine_idx + fine_pos3d = fine_vertices[fine_idx] + coarse_pos3d = coarse_pos + dist = np.linalg.norm(fine_pos3d - coarse_pos3d) + dg.add_edge( + fine_node, + coarse_node, + len=dist, + vdiff=tangential_plane_vdiff(fine_pos3d, coarse_pos3d), + level=f"{fine_level}_to_{coarse_level}", + ) + dg.add_edge( + coarse_node, + fine_node, + len=dist, + vdiff=tangential_plane_vdiff(coarse_pos3d, fine_pos3d), + level=f"{coarse_level}_to_{fine_level}", + ) + + dg.graph["mesh_layout"] = "icosahedral_hierarchical" + dg.graph["max_subdivisions"] = max_subdivisions + dg.graph["radius"] = radius + dg.graph["level_offsets"] = level_offsets + dg.graph["mesh_vertices_by_level"] = vertices_by_level + dg.graph["mesh_faces_by_level"] = faces_by_level + dg.graph["is_hierarchical"] = True + + return dg + + +def connect_grid_to_mesh( + grid_lat_lon: np.ndarray, + mesh_vertices: np.ndarray, + mesh_faces: np.ndarray, + radius_factor: float = 0.6, +) -> np.ndarray: + """ + Grid to Mesh connections (g2m) adapted from create_global_mesh.py lines 224-242. + + Parameters + ---------- + grid_lat_lon : numpy.ndarray + (N_grid, 2) array of [lat, lon] in degrees. + mesh_vertices : numpy.ndarray + (N_mesh, 3) cartesian coordinates. + mesh_faces : numpy.ndarray + (M, 3) face indices. + radius_factor : float, optional + Multiplier for max edge distance. Default is 0.6. + + Returns + ------- + numpy.ndarray + (2, E) array of [grid_node, mesh_node] connections. + """ + if len(grid_lat_lon) == 0: + return np.array([[], []], dtype=int) + + grid_cartesian = lat_lon_to_cartesian(grid_lat_lon[:, 0], grid_lat_lon[:, 1]) + max_edge_len = compute_max_edge_length(mesh_vertices, mesh_faces) + query_radius = radius_factor * max_edge_len + tree = KDTree(mesh_vertices) + neighbor_lists = tree.query_ball_point(grid_cartesian, query_radius) + + total_connections = sum(len(neighbors) for neighbors in neighbor_lists) + if total_connections == 0: + return np.array([[], []], dtype=int) + + grid_indices = np.zeros(total_connections, dtype=int) + mesh_indices = np.zeros(total_connections, dtype=int) + start_idx = 0 + for i, neighbors in enumerate(neighbor_lists): + if neighbors: + n_neighbors = len(neighbors) + end_idx = start_idx + n_neighbors + grid_indices[start_idx:end_idx] = i + mesh_indices[start_idx:end_idx] = neighbors + start_idx = end_idx + + return np.array([grid_indices, mesh_indices]) + + +def connect_mesh_to_grid( + mesh_vertices: np.ndarray, + mesh_faces: np.ndarray, + grid_lat_lon: np.ndarray, + fallback_to_nearest: bool = True, +) -> tuple[np.ndarray, np.ndarray]: + """ + Mesh to Grid connections (m2g). + + For each grid point, find containing mesh triangle and return + barycentric weights for interpolation. Falls back to nearest neighbour + if triangle containment fails. + + Parameters + ---------- + mesh_vertices : numpy.ndarray + (N_mesh, 3) cartesian coordinates of mesh vertices. + mesh_faces : numpy.ndarray + (M, 3) face indices. + grid_lat_lon : numpy.ndarray + (N_grid, 2) array of [lat, lon] in degrees. + fallback_to_nearest : bool, optional + Whether to fall back to nearest-neighbour if containment fails. + Default is True. + + Returns + ------- + edge_index : numpy.ndarray + (2, E) array of [mesh_node, grid_node] connections. + weights : numpy.ndarray + (E,) barycentric weights for each edge. + """ + if len(mesh_vertices) > 0: + feat_dim = get_mesh_feature_dimension(mesh_vertices) + if feat_dim == 3: + # 3D Cartesian, ideal for spherical geometry + pass + else: + # 2D lat/lon, validator-compliant for now + pass + grid_cartesian = lat_lon_to_cartesian(grid_lat_lon[:, 0], grid_lat_lon[:, 1]) + face_centroids = mesh_vertices[mesh_faces].mean(axis=1) + centroid_tree = KDTree(face_centroids) + + if fallback_to_nearest: + vertex_tree = KDTree(mesh_vertices) + + mesh_indices, grid_indices, weights = [], [], [] + failed_points = 0 + + for grid_idx, point in enumerate(grid_cartesian): + face_idx, bary_weights = find_containing_triangle( + point, + mesh_vertices, + mesh_faces, + face_centroids, + centroid_tree, + k_candidates=10, + ) + + # Clip negative weights (numerical noise near edges), renormalise to sum=1. + # If all weights clip to zero (degenerate case), treat as a failed containment. + contained = False + if face_idx is not None: + clipped = np.clip(bary_weights, 0.0, None) + w_sum = clipped.sum() + if w_sum > 1e-12: + normalised = clipped / w_sum + for mesh_idx, w in zip(mesh_faces[face_idx], normalised): + # Skip zero-weight vertices (on triangle edge) — contribute nothing + if w > 0.0: + mesh_indices.append(mesh_idx) + grid_indices.append(grid_idx) + weights.append(float(w)) + contained = True + + if not contained: + if fallback_to_nearest: + failed_points += 1 + dist, nearest_idx = vertex_tree.query(point) + mesh_indices.append(nearest_idx) + grid_indices.append(grid_idx) + weights.append(1.0) + else: + failed_points += 1 + + if failed_points > 0 and len(grid_cartesian) > 0: + total_points = len(grid_cartesian) + warnings.warn( + f"Triangle containment failed for {failed_points}/{total_points} " + f"({failed_points / total_points * 100:.1f}%) grid points. " + f"{'Used nearest neighbour fallback.' if fallback_to_nearest else 'Points were skipped.'}", + UserWarning, + ) + + if len(mesh_indices) == 0: + return np.array([[], []], dtype=int), np.array([]) + + return np.array([mesh_indices, grid_indices]), np.array(weights) + + +def lat_lon_to_cartesian(lat: np.ndarray, lon: np.ndarray) -> np.ndarray: + """ + Convert lat/lon degrees to cartesian coordinates on unit sphere. + + Parameters + ---------- + lat : numpy.ndarray + Latitude values in degrees. + lon : numpy.ndarray + Longitude values in degrees. + + Returns + ------- + numpy.ndarray + (N, 3) array of (x, y, z) cartesian coordinates. + """ + lat_rad = np.radians(lat) + lon_rad = np.radians(lon) + x = np.cos(lat_rad) * np.cos(lon_rad) + y = np.cos(lat_rad) * np.sin(lon_rad) + z = np.sin(lat_rad) + return np.column_stack([x, y, z]) + + +def cartesian_to_lat_lon(vertices: np.ndarray) -> np.ndarray: + """ + Convert cartesian coordinates to lat/lon degrees. + + Parameters + ---------- + vertices : numpy.ndarray + (N, 3) array of (x, y, z) coordinates on unit sphere. + + Returns + ------- + numpy.ndarray + (N, 2) array of (latitude, longitude) in degrees. + Latitude range: [-90, 90]. Longitude range: [-180, 180]. + """ + x, y, z = vertices[:, 0], vertices[:, 1], vertices[:, 2] + lon = np.degrees(np.arctan2(y, x)) + + if np.any(np.abs(z) > 1.0): + n_clipped = np.sum(np.abs(z) > 1.0) + warnings.warn( + f"Clipped {n_clipped} values outside [-1, 1] in cartesian_to_lat_lon. " + "This is likely due to floating point errors.", + UserWarning, + stacklevel=2, + ) + + z_clipped = np.clip(z, -1.0, 1.0) + lat = np.degrees(np.arcsin(z_clipped)) + return np.column_stack([lat, lon]) + + +def compute_max_edge_length(vertices: np.ndarray, faces: np.ndarray) -> float: + """ + Compute longest edge in mesh. + + Parameters + ---------- + vertices : numpy.ndarray + (N, 3) array of vertex coordinates. + faces : numpy.ndarray + (M, 3) array of face indices. + + Returns + ------- + float + Length of the longest edge in the mesh. + """ + edge_pairs = faces[:, [[0, 1], [1, 2], [2, 0]]] + all_edges = edge_pairs.reshape(-1, 2) + all_edges = np.unique(np.sort(all_edges, axis=1), axis=0) + v1 = vertices[all_edges[:, 0]] + v2 = vertices[all_edges[:, 1]] + edge_lengths = np.linalg.norm(v1 - v2, axis=1) + return np.max(edge_lengths) + + +def find_containing_triangle( + point_cartesian: np.ndarray, + mesh_vertices: np.ndarray, + mesh_faces: np.ndarray, + face_centroids: Optional[np.ndarray] = None, + centroid_tree: Optional[KDTree] = None, + k_candidates: int = 10, +) -> tuple[Optional[int], Optional[np.ndarray]]: + """ + Optimized triangle containment using spatial indexing. + + Parameters + ---------- + point_cartesian : numpy.ndarray + (3,) cartesian point on sphere. + mesh_vertices : numpy.ndarray + (N_mesh, 3) mesh vertices. + mesh_faces : numpy.ndarray + (M, 3) face indices. + face_centroids : numpy.ndarray, optional + Precomputed centroids of faces. + centroid_tree : scipy.spatial.KDTree, optional + Precomputed KDTree on centroids. + k_candidates : int, optional + Number of candidate faces to check. Default is 10. + + Returns + ------- + face_index : int or None + Index of the containing face, or None if not found. + barycentric_weights : numpy.ndarray or None + (3,) array of barycentric weights, or None if not found. + """ + point_norm = point_cartesian / np.linalg.norm(point_cartesian) + if face_centroids is None or centroid_tree is None: + face_centroids = mesh_vertices[mesh_faces].mean(axis=1) + centroid_tree = KDTree(face_centroids) + + candidate_indices = centroid_tree.query(point_norm, k=k_candidates)[1] + + best_face = None + best_weights = None + best_sum = float("inf") + + for face_idx in candidate_indices: + face = mesh_faces[face_idx] + a, b, c = mesh_vertices[face] + weights = barycentric_coordinates(point_norm, a, b, c) + + if weights is not None and np.all(weights >= -0.01) and np.all(weights <= 1.01): + weight_sum = np.sum(weights) + if abs(weight_sum - 1.0) < 1e-6: + return face_idx, weights / weight_sum + else: + if abs(weight_sum - 1.0) < abs(best_sum - 1.0): + best_sum = weight_sum + best_face = face_idx + best_weights = weights / weight_sum + + return best_face, best_weights + + +def barycentric_coordinates( + p: np.ndarray, a: np.ndarray, b: np.ndarray, c: np.ndarray +) -> Optional[np.ndarray]: + """ + Compute barycentric coordinates using cross products (no matrix solve). + + Much faster than np.linalg.solve. + + Parameters + ---------- + p : numpy.ndarray + (3,) point to compute coordinates for. + a : numpy.ndarray + (3,) first vertex of triangle. + b : numpy.ndarray + (3,) second vertex of triangle. + c : numpy.ndarray + (3,) third vertex of triangle. + + Returns + ------- + numpy.ndarray or None + (3,) array of barycentric coordinates [u, v, w], or None if the + triangle is degenerate. + """ + v0 = b - a + v1 = c - a + v2 = p - a + + d00 = np.dot(v0, v0) + d01 = np.dot(v0, v1) + d11 = np.dot(v1, v1) + d20 = np.dot(v2, v0) + d21 = np.dot(v2, v1) + + denom = d00 * d11 - d01 * d01 + if abs(denom) < 1e-12: + return None + + v = (d11 * d20 - d01 * d21) / denom + w = (d00 * d21 - d01 * d20) / denom + u = 1.0 - v - w + + return np.array([u, v, w]) + + +def generate_icosahedral_mesh( + refinement_level: int, radius: float = 1.0 +) -> tuple[np.ndarray, np.ndarray]: + """ + Generate a spherical icosahedral mesh using Trimesh. + + Parameters + ---------- + refinement_level : int + Number of subdivisions. Must be non-negative. + radius : float, optional + Radius of the sphere. Default is 1.0 for unit sphere. + + Returns + ------- + nodes : numpy.ndarray + Shape (N, 3) Cartesian coordinates (x, y, z). + faces : numpy.ndarray + Shape (M, 3) Triangular faces connecting the nodes. + + Raises + ------ + ValueError + If refinement_level is negative. + ImportError + If trimesh is not available. + """ + if refinement_level < 0: + raise ValueError("subdivisions must be non-negative") + + try: + import trimesh + except ImportError as e: + raise ImportError( + "trimesh is required for icosahedral mesh generation. " + "Please install it with: pip install trimesh" + ) from e + + try: + mesh = trimesh.creation.icosphere(subdivisions=refinement_level, radius=radius) + except ImportError as e: + raise ImportError( + "trimesh is required for icosahedral mesh generation. " + "Please install it with: pip install trimesh" + ) from e + + nodes = np.array(mesh.vertices) + faces = np.array(mesh.faces) + return nodes, faces + + +def refinement_level_from_grid_spacing( + grid_spacing_deg: float, radius: float = 1.0 +) -> int: + """ + Determine the appropriate refinement level for a desired grid spacing. + + Selects the finest icosahedral refinement level whose mesh spacing is still + >= grid_spacing_deg. This ensures the mesh is not finer than the input grid, + avoiding unnecessary computation while maintaining adequate coverage. + + Parameters + ---------- + grid_spacing_deg : float + Desired grid spacing in degrees. + radius : float, optional + Radius of the sphere. Default is 1.0. + + Returns + ------- + int + The chosen refinement level. + """ + # Approximate angular spacing in degrees for each refinement level + level_spacing_deg = { + 0: 63.4, # level0 + 1: 31.7, # level1 + 2: 15.8, # level2 + 3: 7.9, # level3 + 4: 3.95, # level4 + 5: 1.98, # level5 + } + + # Find all levels whose mesh spacing is >= requested grid spacing + coarse_enough = { + lvl: spacing + for lvl, spacing in level_spacing_deg.items() + if spacing >= grid_spacing_deg + } + + if coarse_enough: + # Pick the finest (highest level) among valid candidates + chosen_level = max(coarse_enough.keys()) + else: + # Requested spacing is finer than any available level → use finest + chosen_level = max(level_spacing_deg.keys()) + warnings.warn( + f"Requested grid spacing {grid_spacing_deg}° is finer than the finest " + f"available mesh spacing {level_spacing_deg[chosen_level]:.2f}° at level {chosen_level}. " + f"Using finest available level.", + UserWarning, + ) + + return chosen_level + + +def tangential_plane_vdiff(src_pos3d: np.ndarray, dst_pos3d: np.ndarray) -> np.ndarray: + """ + Compute edge displacement in the local tangent plane at the source node. + + Projects the displacement vector (src - dst) onto the tangent plane at src, + defined as the plane perpendicular to the outward normal at src (which for a + unit sphere is just src itself). + + Returns [delta_x_tangential, delta_y_tangential] a 2D vector in the + tangent plane. Pair this with great-circle distance as a scalar to get + the full 3-feature edge representation [len, dx_tan, dy_tan]. + + Parameters + src_pos3d : np.ndarray (3,) Cartesian position of source node on unit sphere. + dst_pos3d : np.ndarray (3,) Cartesian position of destination node on unit sphere. + + Returns + np.ndarray (2,) tangential displacement [delta_x_tan, delta_y_tan]. + """ + outward_normal = src_pos3d / np.linalg.norm(src_pos3d) + raw_displacement = src_pos3d - dst_pos3d + tangential_displacement = ( + raw_displacement - np.dot(raw_displacement, outward_normal) * outward_normal + ) + + north_pole = np.array([0.0, 0.0, 1.0]) + east_direction = np.cross(north_pole, outward_normal) + east_magnitude = np.linalg.norm(east_direction) + + if east_magnitude < 1e-10: + east_direction = np.array([1.0, 0.0, 0.0]) + east_direction = ( + east_direction - np.dot(east_direction, outward_normal) * outward_normal + ) + east_magnitude = np.linalg.norm(east_direction) + + east_direction = east_direction / east_magnitude + north_direction = np.cross(outward_normal, east_direction) + + dx = np.dot(tangential_displacement, east_direction) + dy = np.dot(tangential_displacement, north_direction) + + return np.array([dx, dy]) diff --git a/src/weather_model_graphs/networkx_utils.py b/src/weather_model_graphs/networkx_utils.py index ab4bf58..0c1eca5 100644 --- a/src/weather_model_graphs/networkx_utils.py +++ b/src/weather_model_graphs/networkx_utils.py @@ -140,7 +140,9 @@ def replace_node_labels_with_unique_ids(graph) -> networkx.Graph: Graph with node labels renamed """ return networkx.relabel_nodes( - graph, {node: i for i, node in enumerate(sorted(graph.nodes))}, copy=True + graph, + {node: i for i, node in enumerate(sorted(graph.nodes, key=str))}, + copy=True, ) diff --git a/tests/test_icosahedral.py b/tests/test_icosahedral.py new file mode 100644 index 0000000..5ad016a --- /dev/null +++ b/tests/test_icosahedral.py @@ -0,0 +1,562 @@ +from unittest.mock import patch + +import numpy as np +import pytest +from scipy.spatial import KDTree + +import tests.utils as test_utils +from weather_model_graphs.create import create_all_graph_components +from weather_model_graphs.create.mesh.layouts.icosahedral import ( # refinement_level_from_grid_spacing, + cartesian_to_lat_lon, + compute_max_edge_length, + connect_grid_to_mesh, + connect_mesh_to_grid, + create_flat_icosahedral_mesh_graph, + create_hierarchical_icosahedral_mesh_graph, + create_hierarchy_of_icosahedral_meshes, + find_containing_triangle, + generate_icosahedral_mesh, + lat_lon_to_cartesian, +) + +# try: +# import trimesh +# except ImportError: +# pytest.skip("trimesh not installed", allow_module_level=True) +pytest.importorskip("trimesh") + + +@pytest.fixture +def sample_grid_1deg(): + lats = np.arange(-90, 91, 1) + lons = np.arange(-180, 181, 1) + grid_lat, grid_lon = np.meshgrid(lats, lons, indexing="ij") + return np.column_stack([grid_lon.ravel(), grid_lat.ravel()]) + + +@pytest.fixture +def sample_grid_5deg(): + lats = np.arange(-90, 91, 5) + lons = np.arange(-180, 181, 5) + grid_lat, grid_lon = np.meshgrid(lats, lons, indexing="ij") + return np.column_stack([grid_lon.ravel(), grid_lat.ravel()]) + + +@pytest.fixture +def sample_grid_10deg(): + lats = np.arange(-90, 91, 10) + lons = np.arange(-180, 181, 10) + grid_lat, grid_lon = np.meshgrid(lats, lons, indexing="ij") + return np.column_stack([grid_lon.ravel(), grid_lat.ravel()]) + + +@pytest.fixture +def geographic_crs(): + return "EPSG:4326" + + +@pytest.fixture +def projected_crs(): + return "EPSG:32633" + + +class TestIcosahedralMeshGeneration: + def test_generate_base_icosahedron(self): + vertices, faces = generate_icosahedral_mesh(refinement_level=0) + assert len(vertices) == 12 + assert len(faces) == 20 + norms = np.linalg.norm(vertices, axis=1) + assert np.allclose(norms, 1.0, atol=1e-10) + assert faces.shape[1] == 3 + + def test_generate_refined_icosahedron(self): + for subdivisions in [1, 2, 3]: + vertices, faces = generate_icosahedral_mesh(refinement_level=subdivisions) + expected_vertices = 2 + 10 * 4**subdivisions + assert len(vertices) == expected_vertices + expected_faces = 20 * 4**subdivisions + assert len(faces) == expected_faces + norms = np.linalg.norm(vertices, axis=1) + assert np.allclose(norms, 1.0, atol=1e-10) + + def test_create_hierarchy(self): + max_subdivisions = 3 + mesh_list = create_hierarchy_of_icosahedral_meshes(max_subdivisions) + assert len(mesh_list) == max_subdivisions + 1 + for level, (vertices, faces) in enumerate(mesh_list): + expected_vertices = 2 + 10 * 4**level + expected_faces = 20 * 4**level + assert len(vertices) == expected_vertices + assert len(faces) == expected_faces + + +class TestIcosahedralMeshGraphs: + def test_flat_icosahedral_graph(self): + subdivisions = 2 + G = create_flat_icosahedral_mesh_graph(subdivisions=subdivisions) + expected_nodes = 2 + 10 * 4**subdivisions + assert len(G.nodes) == expected_nodes + for node, data in G.nodes(data=True): + assert "pos" in data + assert "pos3d" not in data + assert data["type"] == "mesh" + assert data["level"] is None + pos = data["pos"] + assert pos.shape == (2,) + assert -180 <= pos[0] <= 180 + assert -90 <= pos[1] <= 90 + for u, v, data in G.edges(data=True): + assert "len" in data + assert "vdiff" in data + assert data["level"] is None + assert data["len"] > 0 + assert G.graph["is_hierarchical"] is False + + def test_hierarchical_icosahedral_graph(self): + max_subdivisions = 2 + G = create_hierarchical_icosahedral_mesh_graph( + max_subdivisions=max_subdivisions + ) + total_nodes = sum(2 + 10 * 4**level for level in range(max_subdivisions + 1)) + assert len(G.nodes) == total_nodes + level_counts = {} + for node, data in G.nodes(data=True): + level = data["level"] + level_counts[level] = level_counts.get(level, 0) + 1 + for level in range(max_subdivisions + 1): + expected_nodes = 2 + 10 * 4**level + assert level_counts[level] == expected_nodes + inter_level_edges = [ + (u, v, data) + for u, v, data in G.edges(data=True) + if isinstance(data.get("level"), str) and "_to_" in data["level"] + ] + assert len(inter_level_edges) > 0 + assert "mesh_vertices_by_level" in G.graph + assert "mesh_faces_by_level" in G.graph + assert len(G.graph["mesh_vertices_by_level"]) == max_subdivisions + 1 + + def test_graph_directed(self): + subdivisions = 1 + G = create_flat_icosahedral_mesh_graph(subdivisions=subdivisions) + edges = set(G.edges()) + for u, v in list(edges): + assert (v, u) in edges + + def test_vdiff_is_tangential_2d_for_icosahedral(self): + G = create_flat_icosahedral_mesh_graph(subdivisions=1) + vertices = G.graph["vertices"] + for u, v, data in G.edges(data=True): + vdiff = data["vdiff"] + assert vdiff.shape == (2,), f"Expected vdiff shape (2,), got {vdiff.shape}" + src_pos3d = vertices[u] + dst_pos3d = vertices[v] + outward_normal = src_pos3d / np.linalg.norm(src_pos3d) + raw_displacement = src_pos3d - dst_pos3d + normal_component = np.dot(raw_displacement, outward_normal) + tangential_displacement = ( + raw_displacement - normal_component * outward_normal + ) + tangential_magnitude = np.linalg.norm(tangential_displacement) + recovered_magnitude = np.linalg.norm(vdiff) + assert np.isclose(tangential_magnitude, recovered_magnitude, atol=1e-8) + + def test_vdiff_is_2d_for_rectilinear(self): + from weather_model_graphs.create.base import connect_nodes_across_graphs + from weather_model_graphs.create.grid import create_grid_graph_nodes + from weather_model_graphs.create.mesh import create_single_level_2d_mesh_graph + + xy = test_utils.create_fake_xy(N=16) + G = create_single_level_2d_mesh_graph(xy=xy, nx=4, ny=4) + G_grid = create_grid_graph_nodes(xy) + G_connect = connect_nodes_across_graphs( + G_source=G, G_target=G_grid, method="nearest_neighbour" + ) + for u, v, data in G_connect.edges(data=True): + vdiff = data["vdiff"] + assert vdiff.shape == (2,), f"Expected vdiff shape (2,), got {vdiff.shape}" + + +class TestCoordinateConversions: + def test_lat_lon_to_cartesian(self): + points = [ + (0, 0, [1, 0, 0]), + (0, 90, [0, 1, 0]), + (0, 180, [-1, 0, 0]), + (0, -90, [0, -1, 0]), + ] + for lat, lon, expected in points: + result = lat_lon_to_cartesian(np.array([lat]), np.array([lon]))[0] + assert np.allclose(result, expected, atol=1e-10) + north_pole = lat_lon_to_cartesian(np.array([90]), np.array([0]))[0] + assert np.allclose(north_pole, [0, 0, 1], atol=1e-10) + south_pole = lat_lon_to_cartesian(np.array([-90]), np.array([0]))[0] + assert np.allclose(south_pole, [0, 0, -1], atol=1e-10) + + def test_cartesian_to_lat_lon(self): + points = [ + ([1, 0, 0], [0, 0]), + ([0, 1, 0], [0, 90]), + ([-1, 0, 0], [0, 180]), + ([0, -1, 0], [0, -90]), + ([0, 0, 1], [90, 0]), + ([0, 0, -1], [-90, 0]), + ] + for cart, expected in points: + result = cartesian_to_lat_lon(np.array([cart]))[0] + assert np.allclose(result, expected, atol=1e-10) + + def test_cartesian_to_lat_lon_clipping(self): + vertices = np.array( + [ + [1.0000001, 0, 0], + [0, 1.0, 0], + [0, 0, 1.0000001], + [0, 0, -1.0000001], + ] + ) + with pytest.warns(UserWarning, match="Clipped.*values outside"): + lat_lon = cartesian_to_lat_lon(vertices) + assert lat_lon.shape == (4, 2) + assert np.all(lat_lon[:, 0] >= -90) and np.all(lat_lon[:, 0] <= 90) + assert np.all(lat_lon[:, 1] >= -180) and np.all(lat_lon[:, 1] <= 180) + + +class TestGridToMeshConnectivity: + def test_connect_mesh_to_grid_basic(self, sample_grid_10deg): + vertices, faces = generate_icosahedral_mesh(refinement_level=2) + + edge_index, weights = connect_mesh_to_grid( + vertices, faces, sample_grid_10deg, fallback_to_nearest=True + ) + + assert isinstance(edge_index, np.ndarray) + assert isinstance(weights, np.ndarray) + assert edge_index.shape[0] == 2 + assert edge_index.shape[1] > 0, "Expected some connections" + assert len(weights) == edge_index.shape[1] + + grid_points = np.unique(edge_index[1]) + assert len(grid_points) == len(sample_grid_10deg) + + # Weights are clamped to [0, 1] and non-negative + assert np.all(weights >= 0.0), f"Negative weights found: {weights[weights < 0]}" + assert np.all( + weights <= 1.0 + 1e-9 + ), f"Weights > 1 found: {weights[weights > 1.0 + 1e-9]}" + + def test_connect_grid_to_mesh_radius_factor(self, sample_grid_5deg): + vertices, faces = generate_icosahedral_mesh(refinement_level=2) + edges_small = connect_grid_to_mesh( + sample_grid_5deg, vertices, faces, radius_factor=0.3 + ) + edges_large = connect_grid_to_mesh( + sample_grid_5deg, vertices, faces, radius_factor=0.9 + ) + assert edges_small.shape[1] <= edges_large.shape[1] + + def test_max_edge_length_computation(self): + vertices, faces = generate_icosahedral_mesh(refinement_level=1) + max_len = compute_max_edge_length(vertices, faces) + assert max_len > 0 + assert max_len < 2.0 + + +class TestMeshToGridConnectivity: + def test_find_containing_triangle_basic(self): + vertices, faces = generate_icosahedral_mesh(refinement_level=0) + test_point = np.array([0.5, 0.5, 0.5]) + test_point = test_point / np.linalg.norm(test_point) + face_centroids = vertices[faces].mean(axis=1) + centroid_tree = KDTree(face_centroids) + face_idx, weights = find_containing_triangle( + test_point, + vertices, + faces, + face_centroids=face_centroids, + centroid_tree=centroid_tree, + ) + if face_idx is not None: + assert weights is not None + assert len(weights) == 3 + assert np.allclose(np.sum(weights), 1.0, atol=1e-5) + assert np.all(weights >= -0.01) + + def test_connect_mesh_to_grid_weights_attribute(self, sample_grid_10deg): + vertices, faces = generate_icosahedral_mesh(refinement_level=2) + edge_index, weights = connect_mesh_to_grid( + vertices, faces, sample_grid_10deg, fallback_to_nearest=True + ) + # Check all weights are non-negative and at most 1 + assert np.all(weights >= 0.0), "Negative weights found" + assert np.all(weights <= 1.0 + 1e-9), "Weights exceed 1.0" + + grid_to_weights = {} + for col in range(edge_index.shape[1]): + grid_idx = edge_index[1, col] + weight = weights[col] + if grid_idx not in grid_to_weights: + grid_to_weights[grid_idx] = [] + grid_to_weights[grid_idx].append(weight) + + for grid_idx, weight_list in grid_to_weights.items(): + # Triangle hit: 3 weights summing to 1; fallback: 1 weight == 1 + # Also allow 1 or 3 connections summing to 1 (normalised triangles or fallback) + weight_sum = sum(weight_list) + assert np.isclose( + weight_sum, 1.0, atol=1e-4 + ), f"Grid point {grid_idx}: weights {weight_list} sum to {weight_sum}, expected 1.0" + + +class TestGridSpacing: + def refinement_level_from_grid_spacing( + self, grid_spacing_deg: float, radius: float = 1.0 + ) -> int: + import warnings + + level_to_spacing = { + 0: 63.4, + 1: 31.7, + 2: 15.8, + 3: 7.9, + 4: 3.95, + 5: 1.98, + } + closest_level = min( + level_to_spacing.keys(), + key=lambda lvl: abs(level_to_spacing[lvl] - grid_spacing_deg), + ) + actual_spacing = level_to_spacing[closest_level] + if abs(actual_spacing - grid_spacing_deg) / grid_spacing_deg > 0.3: + warnings.warn( + f"Requested grid spacing {grid_spacing_deg}° is significantly different " + f"from available mesh spacing {actual_spacing:.1f}° at level {closest_level}. " + f"Consider using a different resolution.", + UserWarning, + ) + return closest_level + + def test_grid_spacing_in_create_all_graph_components( + self, sample_grid_5deg, geographic_crs + ): + G = create_all_graph_components( + coords=sample_grid_5deg, + mesh_layout="icosahedral", + mesh_layout_kwargs={ + "grid_spacing": 5.0, + "hierarchical": False, + "radius": 1.0, + }, + m2m_connectivity="flat", + m2g_connectivity="within_radius", + m2g_connectivity_kwargs={"max_dist": 0.5}, + g2m_connectivity="within_radius", + g2m_connectivity_kwargs={"max_dist": 0.5}, + coords_crs=geographic_crs, + graph_crs=geographic_crs, + ) + assert G is not None + mesh_nodes = [n for n, d in G.nodes(data=True) if d.get("type") == "mesh"] + assert len(mesh_nodes) in [162, 642] + + def test_grid_spacing_conflict_error(self, sample_grid_5deg, geographic_crs): + with pytest.raises( + ValueError, match="Cannot specify both grid_spacing and subdivisions" + ): + create_all_graph_components( + coords=sample_grid_5deg, + mesh_layout="icosahedral", + mesh_layout_kwargs={ + "grid_spacing": 5.0, + "subdivisions": 2, + }, + m2m_connectivity="flat", + m2g_connectivity="within_radius", + m2g_connectivity_kwargs={"max_dist": 0.5}, + g2m_connectivity="within_radius", + g2m_connectivity_kwargs={"max_dist": 0.5}, + coords_crs=geographic_crs, + graph_crs=geographic_crs, + ) + + +class TestContainingTriangleDispatch: + def test_containing_triangle_with_icosahedral( + self, sample_grid_10deg, geographic_crs + ): + G = create_all_graph_components( + coords=sample_grid_10deg, + mesh_layout="icosahedral", + mesh_layout_kwargs={"subdivisions": 2}, + m2m_connectivity="flat", + m2g_connectivity="containing_triangle", + m2g_connectivity_kwargs={"fallback_to_nearest": True}, + g2m_connectivity="within_radius", + g2m_connectivity_kwargs={"rel_max_dist": 0.6}, + coords_crs=geographic_crs, + graph_crs=geographic_crs, + ) + assert G is not None + m2g_edges = [ + (u, v, d) for u, v, d in G.edges(data=True) if d.get("component") == "m2g" + ] + assert len(m2g_edges) > 0 + for _, _, data in m2g_edges: + assert "barycentric_weight" in data + assert data["barycentric_weight"] > 0 + + def test_containing_triangle_with_rectilinear_error( + self, sample_grid_10deg, geographic_crs + ): + with pytest.raises( + ValueError, + match="containing_triangle method is only valid for mesh_layout='icosahedral'", + ): + create_all_graph_components( + coords=sample_grid_10deg, + mesh_layout="rectilinear", + m2m_connectivity="flat", + mesh_layout_kwargs={"mesh_node_distance": 5.0}, + m2m_connectivity_kwargs={"nx": 4, "ny": 4}, + m2g_connectivity="containing_triangle", + g2m_connectivity="within_radius", + coords_crs=geographic_crs, + graph_crs=geographic_crs, + ) + + +class TestIntegrationWithCreateAllGraphComponents: + def test_icosahedral_in_create_all_graph_components( + self, sample_grid_5deg, geographic_crs + ): + G = create_all_graph_components( + coords=sample_grid_5deg, + mesh_layout="icosahedral", + mesh_layout_kwargs={ + "subdivisions": 2, + "hierarchical": False, + "radius": 1.0, + }, + m2m_connectivity="flat", + m2g_connectivity="within_radius", + m2g_connectivity_kwargs={"max_dist": 0.5}, + g2m_connectivity="within_radius", + g2m_connectivity_kwargs={"max_dist": 0.5}, + coords_crs=geographic_crs, + graph_crs=geographic_crs, + ) + assert G is not None + assert len(G.nodes) > 0 + mesh_nodes = [n for n, d in G.nodes(data=True) if d.get("type") == "mesh"] + grid_nodes = [n for n, d in G.nodes(data=True) if d.get("type") == "grid"] + assert len(mesh_nodes) > 0 + assert len(grid_nodes) == len(sample_grid_5deg) + + def test_hierarchical_icosahedral(self, sample_grid_5deg, geographic_crs): + G = create_all_graph_components( + coords=sample_grid_5deg, + mesh_layout="icosahedral", + mesh_layout_kwargs={ + "max_subdivisions": 2, + "hierarchical": True, + "radius": 1.0, + }, + m2m_connectivity="hierarchical", + m2g_connectivity="within_radius", + m2g_connectivity_kwargs={"max_dist": 0.5}, + g2m_connectivity="within_radius", + g2m_connectivity_kwargs={"max_dist": 0.5}, + coords_crs=geographic_crs, + graph_crs=geographic_crs, + ) + assert G is not None + levels = set() + for node, data in G.nodes(data=True): + if data.get("type") == "mesh": + levels.add(data.get("level", -1)) + assert len(levels) > 1 + + def test_icosahedral_with_projected_crs_warning( + self, sample_grid_5deg, projected_crs + ): + with pytest.warns( + UserWarning, match="Icosahedral mesh is designed for geographic coordinates" + ): + create_all_graph_components( + coords=sample_grid_5deg, + mesh_layout="icosahedral", + mesh_layout_kwargs={"subdivisions": 2}, + m2m_connectivity="flat", + m2g_connectivity="within_radius", + m2g_connectivity_kwargs={"max_dist": 0.5}, + g2m_connectivity="within_radius", + g2m_connectivity_kwargs={"max_dist": 0.5}, + coords_crs=projected_crs, + graph_crs=projected_crs, + ) + + +class TestEdgeCases: + def test_trimesh_import_error_direct(self): + with patch("trimesh.creation.icosphere") as mock_icosphere: + mock_icosphere.side_effect = ImportError("No module named 'trimesh'") + with pytest.raises( + ImportError, match="trimesh is required for icosahedral mesh" + ): + generate_icosahedral_mesh(refinement_level=1) + + def test_trimesh_import_error_module_level(self): + """Test graceful handling when trimesh is not available at module level.""" + import sys + + # Temporarily hide trimesh + trimesh_backup = sys.modules.get("trimesh") + sys.modules["trimesh"] = None # Simulate missing module + + try: + with pytest.raises((ImportError, TypeError)) as excinfo: + from importlib import reload + + import weather_model_graphs.create.mesh.layouts.icosahedral as icosahedral_module + + reload(icosahedral_module) + # Calling generate_icosahedral_mesh will hit the import inside the function + icosahedral_module.generate_icosahedral_mesh(refinement_level=1) + + err_msg = str(excinfo.value).lower() + assert "trimesh" in err_msg or "nonetype" in err_msg or "import" in err_msg + finally: + # Restore trimesh + if trimesh_backup is not None: + sys.modules["trimesh"] = trimesh_backup + elif "trimesh" in sys.modules: + del sys.modules["trimesh"] + + def test_invalid_subdivisions(self): + with pytest.raises(ValueError, match="subdivisions must be non-negative"): + generate_icosahedral_mesh(refinement_level=-1) + + def test_empty_grid_connections(self): + vertices, faces = generate_icosahedral_mesh(refinement_level=1) + empty_grid = np.array([]).reshape(0, 2) + edges = connect_grid_to_mesh(empty_grid, vertices, faces) + assert edges.shape[1] == 0 + + def test_pole_connections(self, sample_grid_1deg): + vertices, faces = generate_icosahedral_mesh(refinement_level=2) + pole_indices = np.where(np.abs(sample_grid_1deg[:, 0]) >= 89.5)[0] + pole_grid = sample_grid_1deg[pole_indices] + edges = connect_grid_to_mesh(pole_grid, vertices, faces) + assert edges.shape[1] > 0 + + def test_unknown_mesh_layout_error(self, sample_grid_5deg, geographic_crs): + with pytest.raises(NotImplementedError, match="not yet supported"): + create_all_graph_components( + coords=sample_grid_5deg, + mesh_layout="invalid", + m2m_connectivity="flat", + m2g_connectivity="within_radius", + g2m_connectivity="within_radius", + coords_crs=geographic_crs, + graph_crs=geographic_crs, + )