{ "cells": [ { "cell_type": "code", "id": "initial_id", "metadata": { "collapsed": true, "ExecuteTime": { "end_time": "2025-05-23T14:09:34.025041Z", "start_time": "2025-05-23T14:09:34.022690Z" } }, "source": "", "outputs": [], "execution_count": null }, { "metadata": { "ExecuteTime": { "end_time": "2025-05-25T12:26:39.029220Z", "start_time": "2025-05-25T12:26:37.525933Z" } }, "cell_type": "code", "source": [ "from matplotlib_venn import venn3\n", "venn3(subsets = (1, 1, 1, 2, 1, 2, 2), set_labels = ('Set1', 'Set2', 'Set3'), set_colors=(\"orange\", \"purple\", \"gray\"), alpha=0.2)" ], "id": "47fc98546a30284e", "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 1 }, { "metadata": { "ExecuteTime": { "end_time": "2025-05-25T12:26:39.101647Z", "start_time": "2025-05-25T12:26:39.088224Z" } }, "cell_type": "code", "source": [ "from matplotlib_venn import venn3\n", "import matplotlib.pyplot as plt\n", "\n", "def plot_venn3_from_index_dict(ax, data_dict, set_labels=('Set 0', 'Set 1', 'Set 2'), set_colors=(\"orange\", \"purple\", \"gray\")):\n", " \"\"\"\n", " Generate a 3-set Venn diagram from a dictionary where keys are strings of '0', '1', and '2'\n", " indicating set membership, and values are counts.\n", "\n", " Parameters:\n", " - data_dict (dict): Dictionary with keys like '0', '01', '012', etc.\n", " - set_labels (tuple): Labels for the three sets.\n", " \"\"\"\n", " # Mapping of set index combinations to venn3 region codes\n", " index_to_region = {\n", " '100': '100', # Only in Set 0\n", " '010': '010', # Only in Set 1\n", " '001': '001', # Only in Set 2\n", " '110': '110', # In Set 0 and Set 1\n", " '101': '101', # In Set 0 and Set 2\n", " '011': '011', # In Set 1 and Set 2\n", " '111': '111', # In all three\n", " }\n", "\n", " # Initialize region counts\n", " venn_counts = {region: 0 for region in index_to_region.values()}\n", "\n", " # Convert data_dict keys to binary keys for region mapping\n", " for k, v in data_dict.items():\n", " binary_key = ''.join(['1' if str(i) in k else '0' for i in range(3)])\n", " if binary_key in index_to_region:\n", " venn_counts[index_to_region[binary_key]] += v\n", "\n", " # Plotting\n", " #plt.figure(figsize=(8, 8))\n", " venn3(subsets=venn_counts, set_labels=set_labels, set_colors=set_colors, alpha=0.25, ax=ax)\n", " #plt.title(\"3-Set Venn Diagram from Index Dictionary\")\n", " #plt.show()\n", "\n", "\n", "# Example dictionary to test\n", "example_index_data = {\n", " '': 12, '0': 35, '1': 31, '2': 20,\n", " '01': 25, '02': 35, '12': 55, '012': 10\n", "}" ], "id": "a5177b788c5d4616", "outputs": [], "execution_count": 2 }, { "metadata": { "ExecuteTime": { "end_time": "2025-05-25T12:26:40.126185Z", "start_time": "2025-05-25T12:26:39.971883Z" } }, "cell_type": "code", "source": [ "fig, ax = plt.subplots()\n", "plot_venn3_from_index_dict(ax, example_index_data, set_labels=('Set 0', 'Set 1', 'Set 2'))" ], "id": "ab518e01ea76a275", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 3 }, { "metadata": { "ExecuteTime": { "end_time": "2025-05-24T17:23:56.599969Z", "start_time": "2025-05-24T17:23:56.404346Z" } }, "cell_type": "code", "source": [ "labels = [\"LGATr_GP_IRC_S_QCD\", \"AK8\", \"LGATr_GP_IRC_S_50k\"]\n", "data = {'': 8286,\n", " '0': 86,\n", " '1': 85,\n", " '2': 190,\n", " '01': 112,\n", " '02': 420,\n", " '12': 107,\n", " '012': 0}#10714}\n", "plot_venn3_from_index_dict(data, labels)" ], "id": "2eab762fe17f32ad", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 5 }, { "metadata": {}, "cell_type": "code", "outputs": [], "execution_count": null, "source": "", "id": "294a35a41aaf998e" } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }