diff --git a/tests/drawing/test_draw.py b/tests/drawing/test_draw.py index 482b11a1d..cdb20d361 100644 --- a/tests/drawing/test_draw.py +++ b/tests/drawing/test_draw.py @@ -169,3 +169,20 @@ def test_draw_simplices(edgelist8): assert patch.get_zorder() == z plt.close() + +def test_draw_hypergraph_hull(edgelist8): + + H = xgi.Hypergraph(edgelist8) + + ax = xgi.draw_hypergraph_hull(H) + + # number of elements + assert len(ax.patches) == len(H.edges.filterby("size", 2, mode="gt")) # hyperedges + assert len(ax.collections[0].get_sizes()) == H.num_nodes # nodes + + # zorder + for patch, z in zip(ax.patches, [2, 2, 0, 2, 2]): # hyperedges + assert patch.get_zorder() == z + assert ax.collections[0].get_zorder() == 4 # nodes + + plt.close() diff --git a/tutorials/Tutorial 5 - Plotting.ipynb b/tutorials/Tutorial 5 - Plotting.ipynb index 530d40996..80d02313f 100644 --- a/tutorials/Tutorial 5 - Plotting.ipynb +++ b/tutorials/Tutorial 5 - Plotting.ipynb @@ -186,7 +186,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "id": "bad32b53", "metadata": {}, @@ -227,7 +226,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "id": "fc7cf849", "metadata": {}, @@ -672,7 +670,7 @@ ], "metadata": { "kernelspec": { - "display_name": "hyper", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -686,7 +684,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.0" + "version": "3.9.13" } }, "nbformat": 4, diff --git a/tutorials/Tutorial 7 - Convex hulls hypergraph plotting.ipynb b/tutorials/Tutorial 7 - Convex hulls hypergraph plotting.ipynb new file mode 100644 index 000000000..23bb66021 --- /dev/null +++ b/tutorials/Tutorial 7 - Convex hulls hypergraph plotting.ipynb @@ -0,0 +1,260 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Drawing a hypergraph " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import xgi\n", + "import networkx as nx" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is a simple example to show how the function to draw an hypergraph with hyperedges displayed as colored convex hulls work." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "H = xgi.Hypergraph()\n", + "H.add_edges_from([[1, 2, 3], [3, 4], [4, 5, 6, 7], [7, 8, 9, 10, 11]])\n", + "pos = xgi.barycenter_spring_layout(H, seed=5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The default set-up gives the following drawing:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xgi.draw_hypergraph_hull(H, pos)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the same way as in the standard `xgi.draw()` function we can -for example- modify the color of the nodes, the hyperedges and of the dyads of our hypergraph:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xgi.draw_hypergraph_hull(\n", + " H, pos, dyad_color=\"green\", edge_fc=\"lime\", node_fc=\"darkgreen\"\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Additionally it is possible to choose the contour color of the hyperedges of order in our hypergraph:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xgi.draw_hypergraph_hull(H, pos, edge_ec=\"darkred\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The parameter `radius` controls the radius of the convex hull in the vicinity of the nodes when drawing and hyperedges. For example if we were to make it smaller:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xgi.draw_hypergraph_hull(H, pos, radius=0.01)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This drawing function does its best when we want to highlight the few group interactions that are present in a mostly dyadic structure, here's and example:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "H_1 = xgi.random_hypergraph(20, [0.2, 0.001], seed=1)\n", + "xgi.draw_hypergraph_hull(H_1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.13" + }, + "vscode": { + "interpreter": { + "hash": "78db47bee367e3fae825d59af43d695909ce208402094df58551906768c6e91c" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/xgi/drawing/draw.py b/xgi/drawing/draw.py index 0f7312d23..db718835d 100644 --- a/xgi/drawing/draw.py +++ b/xgi/drawing/draw.py @@ -8,6 +8,7 @@ import numpy as np from matplotlib import cm from matplotlib.colors import LinearSegmentedColormap, ListedColormap +from scipy.spatial import ConvexHull from .. import convert from ..classes import Hypergraph, SimplicialComplex, max_edge_order @@ -22,6 +23,7 @@ "draw_simplices", "draw_node_labels", "draw_hyperedge_labels", + "draw_hypergraph_hull", ] @@ -985,3 +987,241 @@ def _update_lims(pos, ax): corners = (minx - padx, miny - pady), (maxx + padx, maxy + pady) ax.update_datalim(corners) ax.autoscale_view() + + +def _draw_hull(node_pos, ax, edges_ec, facecolor, alpha, zorder, radius): + """Draw a convex hull encompassing the nodes in node_pos + + Parameters + ---------- + node_pos : np.array + nx2 dimensional array containing positions of the nodes + ax : matplotlib.pyplot.axes + edges_ec : str + Color of the border of the convex hull + facecolor : str + Filling color of the convex hull + alpha : float + Transparency of the convex hull + radius : float + Radius of the convex hull in the vicinity of the nodes. + + Returns + ------- + ax : matplotlib.pyplot.axes + + """ + + thetas = np.linspace(0, 2*np.pi, num=100, endpoint=False) + offsets = radius * np.array([np.cos(thetas), np.sin(thetas)]).T + points = np.vstack([p + offsets for p in node_pos]) + points = np.vstack([node_pos, points]) + + hull = ConvexHull(points) + + for simplex in hull.simplices: + ax.plot(points[simplex, 0], points[simplex, 1], color=edges_ec, zorder=zorder) + ax.fill( + points[hull.vertices, 0], + points[hull.vertices, 1], + color=facecolor, + alpha=alpha, + zorder=zorder, + ) + + return ax + + +def draw_hypergraph_hull( + H, + pos=None, + ax=None, + dyad_color="black", + edge_fc=None, + edge_ec=None, + node_fc="tab:blue", + node_ec="black", + node_lw=1, + node_size=7, + max_order=None, + node_labels=False, + hyperedge_labels=False, + radius=0.05, + **kwargs, +): + """Draw hypergraphs displaying the hyperedges of order k>1 as convex hulls + + + Parameters + ---------- + H : Hypergraph + pos : dict (default=None) + If passed, this dictionary of positions node_id:(x,y) is used for placing the nodes. + If None (default), use the `barycenter_spring_layout` to compute the positions. + ax : matplotlib.pyplot.axes (default=None) + dyad_color : str, dict, iterable, or EdgeStat (default='black') + Color of the dyadic links. If str, use the same color for all edges. If a dict, must + contain (edge_id: color_str) pairs. If iterable, assume the colors are + specified in the same order as the edges are found in H.edges. If EdgeStat, use a colormap + (specified with dyad_color_cmap) associated to it. + edge_fc : str, dict, iterable, or EdgeStat (default=None) + str, dict, iterable, or EdgeStat (default=None) + Color of the hyperedges of order k>1. If str, use the same color for all hyperedges of order k>1. If a dict, must + contain (edge_id: color_str) pairs. If other iterable, assume the colors are + specified in the same order as the hyperedges are found in H.edges. If EdgeStat, + use the colormap specified with edge_fc_cmap. If None (default), + use the H.edges.size. + edge_ec : str, dict, iterable, or EdgeStat (default=None) + Color of the borders of the hyperdges of order k>1. If str, use the same color for all edges. If a dict, must + contain (edge_id: color_str) pairs. If iterable, assume the colors are + specified in the same order as the edges are found in H.edges. If EdgeStat, use a colormap + (specified with edge_ec_cmap) associated to it. If None (default), + use the H.edges.size. + node_fc : node_fc : str, dict, iterable, or NodeStat (default='tab:blue') + Color of the nodes. If str, use the same color for all nodes. If a dict, must + contain (node_id: color_str) pairs. If other iterable, assume the colors are + specified in the same order as the nodes are found in H.nodes. If NodeStat, + use the colormap specified with node_fc_cmap. + node_ec : str, dict, iterable, or NodeStat (default='black') + Color of node borders. If str, use the same color for all nodes. If a dict, must + contain (node_id: color_str) pairs. If other iterable, assume the colors are + specified in the same order as the nodes are found in H.nodes. If NodeStat, + use the colormap specified with node_ec_cmap. + node_lw : int, float, dict, iterable, or EdgeStat (default=1) + Line width of the node borders in pixels. If int or float, use the same width for all node borders. + If a dict, must contain (node_id: width) pairs. If iterable, assume the widths are + specified in the same order as the nodes are found in H.nodes. If NodeStat, use a monotonic + linear interpolation defined between min_node_lw and max_node_lw. + node_size : int, float, dict, iterable, or NodeStat (default=7) + Radius of the nodes in pixels. If int or float, use the same radius for all nodes. + If a dict, must contain (node_id: radius) pairs. If iterable, assume the radiuses are + specified in the same order as the nodes are found in H.nodes. If NodeStat, use a monotonic + linear interpolation defined between min_node_size and max_node_size. + max_order : int (default=None) + Maximum of hyperedges to plot. If None (default), plots all orders. + node_labels : bool, or dict (default=False) + If True, draw ids on the nodes. If a dict, must contain (node_id: label) pairs. + hyperedge_labels : bool, or dict (default=False) + If True, draw ids on the hyperedges. If a dict, must contain (edge_id: label) pairs. + radius : float (deafault=0.05) + Radius of the convex hull in the vicinity of the nodes. + **kwargs : optional args + Alternate default values. Values that can be overwritten are the following: + * min_node_size + * max_node_size + * min_node_lw + * max_node_lw + * node_fc_cmap + * node_ec_cmap + * dyad_color_cmap + * edge_fc_cmap + * edge_ec_cmap + * alpha + + Returns + ------- + ax : matplotlib.pyplot.axes + + """ + + settings = { + "min_node_size": 5.0, + "max_node_size": 30.0, + "min_node_lw": 1.0, + "max_node_lw": 5.0, + "node_fc_cmap": cm.Reds, + "node_ec_cmap": cm.Greys, + "dyad_color_cmap": cm.Greys, + "edge_fc_cmap": cm.Blues, + "edge_ec_cmap": cm.Greys, + "alpha": 0.4, + } + + alpha = settings["alpha"] + + if edge_fc is None: + edge_fc = H.edges.size + + edge_fc = _color_arg_to_dict(edge_fc, H.edges, settings["edge_fc_cmap"]) + + if edge_ec is None: + edge_ec = H.edges.size + + edge_ec = _color_arg_to_dict(edge_ec, H.edges, settings["edge_ec_cmap"]) + + settings.update(kwargs) + + if pos is None: + pos = barycenter_spring_layout(H) + + if ax is None: + ax = plt.gca() + + ax.get_xaxis().set_ticks([]) + ax.get_yaxis().set_ticks([]) + ax.axis("off") + + if not max_order: + max_order = max_edge_order(H) + + dyad_color = _color_arg_to_dict(dyad_color, H.edges, settings["dyad_color_cmap"]) + + for id, he in H._edge.items(): + d = len(he) - 1 + if d > max_order: + continue + if d == 1: + # Drawing the edges + he = list(he) + x_coords = [pos[he[0]][0], pos[he[1]][0]] + y_coords = [pos[he[0]][1], pos[he[1]][1]] + line = plt.Line2D( + x_coords, + y_coords, + color=dyad_color[id], + zorder=max_order - 1, + alpha=1, + ) + ax.add_line(line) + + else: + coordinates = [[pos[n][0], pos[n][1]] for n in he] + _draw_hull( + node_pos=np.array(coordinates), + ax=ax, + edges_ec=edge_ec[id], + facecolor=edge_fc[id], + alpha=alpha, + zorder=max_order - d, + radius=radius, + ) + + if hyperedge_labels: + # Get all valid keywords by inspecting the signatures of draw_node_labels + valid_label_kwds = signature(draw_hyperedge_labels).parameters.keys() + # Remove the arguments of this function (draw_networkx) + valid_label_kwds = valid_label_kwds - {"H", "pos", "ax", "hyperedge_labels"} + if any([k not in valid_label_kwds for k in kwargs]): + invalid_args = ", ".join([k for k in kwargs if k not in valid_label_kwds]) + raise ValueError(f"Received invalid argument(s): {invalid_args}") + label_kwds = {k: v for k, v in kwargs.items() if k in valid_label_kwds} + draw_hyperedge_labels(H, pos, hyperedge_labels, ax_edges=ax, **label_kwds) + + draw_nodes( + H, + pos, + ax, + node_fc, + node_ec, + node_lw, + node_size, + max_order, + settings, + node_labels, + **kwargs, + ) + + # compute axis limits + _update_lims(pos, ax) + + return ax