Files
temperature-based-fertility…/notebooks/background.ipynb
T
2025-03-10 15:44:32 +01:00

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{
"cells": [
{
"cell_type": "code",
"id": "initial_id",
"metadata": {
"collapsed": true,
"ExecuteTime": {
"end_time": "2025-03-10T12:02:04.087452Z",
"start_time": "2025-03-10T12:02:04.085515Z"
}
},
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.ticker as mtick\n",
"\n",
"base_ratio = 1.618\n",
"plt.style.use('seaborn-v0_8-whitegrid')\n",
"\n",
"output_dir = \"/home/alex/projects/master-thesis/thesis/resources/figures/\""
],
"outputs": [],
"execution_count": 37
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-03-10T12:03:07.884280Z",
"start_time": "2025-03-10T12:03:07.881628Z"
}
},
"cell_type": "code",
"source": [
"def plot(plot_data: dict, save_to_file: bool = False) -> None:\n",
" base_size = plot_data[\"base_size\"]\n",
" plt.figure(figsize=(base_size * base_ratio, base_size))\n",
" for data_item in plot_data[\"plot_data\"]:\n",
" plt.plot(data_item[\"data\"], label=data_item[\"label\"], color=data_item[\"color\"])\n",
" base_font_modifier = plot_data[\"base_font_modifier\"]\n",
" plt.title(plot_data[\"title\"], fontsize=int(14 * base_font_modifier), fontweight='bold')\n",
" plt.xlabel(plot_data['x_label'], fontsize=int(12 * base_font_modifier))\n",
" plt.ylabel(plot_data['y_label'], fontsize=int(12 * base_font_modifier))\n",
" plt.xticks(fontsize=int(10 * base_font_modifier))\n",
" plt.yticks(fontsize=int(10 * base_font_modifier))\n",
" plt.gca().yaxis.set_major_formatter(mtick.PercentFormatter(1, decimals=0))\n",
" plt.ylim(plot_data[\"y_lim\"])\n",
" plt.xlim(plot_data[\"x_lim\"])\n",
" plt.grid(which='major', linestyle='-', linewidth='0.5')\n",
" plt.tight_layout()\n",
" if len(plot_data[\"plot_data\"]) > 1:\n",
" plt.legend()\n",
" if save_to_file:\n",
" plt.savefig(output_dir + plot_data[\"plot_name\"] + \".png\", dpi=300, bbox_inches='tight')\n",
" plt.show()\n"
],
"id": "73f23f7a578d034",
"outputs": [],
"execution_count": 44
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-03-10T12:03:09.659763Z",
"start_time": "2025-03-10T12:03:09.444196Z"
}
},
"cell_type": "code",
"source": [
"indices_relative_to_start = np.arange(-5, 1)\n",
"pregnancy_chance_data = [0.02, 0.07, 0.125, 0.24, 0.3, 0.18]\n",
"pregnancy_chance_data = pd.Series(pregnancy_chance_data, index=indices_relative_to_start)\n",
"plot_data = {\n",
" \"plot_name\": \"background_pregnancy_chance_over_time\",\n",
" \"plot_data\": [\n",
" {\n",
" \"data\": pregnancy_chance_data,\n",
" \"label\": \"Pregnancy chance\",\n",
" \"color\": \"blue\",\n",
" },\n",
" ],\n",
" \"title\": \"Pregnancy chance over time\",\n",
" \"x_label\": \"Day relative to ovulation day\",\n",
" \"y_label\": \"Pregnancy chance\",\n",
" \"base_size\": 6,\n",
" \"base_font_modifier\": 2,\n",
" \"y_lim\": (0, 0.35),\n",
" \"x_lim\": (-5.5, 0.5),\n",
"}\n",
"plot(plot_data, save_to_file=True)\n"
],
"id": "44efa1e412255ca",
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 970.8x600 with 1 Axes>"
],
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 45
}
],
"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
}