{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "Effective computation in Biomechanics\n", "\n", "Romain Martinez " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Biomechanical analysis with Pyomeca](01.03-intro-to-pyomeca.ipynb) | [Contents](index.ipynb) | [Introduction to musculoskeletal modelling](02.00-musculoskeletal-modelling.ipynb) >" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Programming tips and tricks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tips 0: Use Google, a lot" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Programming help')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "%load_ext lab_black\n", "\n", "sns.set(style=\"ticks\", context=\"talk\")\n", "\n", "plt.figure(figsize=(8, 8))\n", "plt.pie(x=[3, 95, 2], labels=[\"This course\", \"Stack Overflow\", \"Textbook\"])\n", "plt.title(\"Programming help\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tips 1: Use functions and break your code into reusable bits\n", "\n", "Do not use the messy \"spaghetti\" code pattern:\n", "\n", "\n", "\n", "- Often a complicated mess\n", "- Programs often work but are difficult to read and maintain\n", "- Confusing and error prone\n", "\n", "But rather the well structured \"ravioli\" pattern:\n", "\n", "\n", "\n", "- Little chunks of reusable functionality\n", "- Clean interface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tips 2: Use Git & GitHub\n", "\n", "Start by creating an account on [GitHub](https://github.com/join), Then create a test repo.\n", "\n", "\n", "- 1 repo/project\n", "- If you start using git, use [GitKraken](https://www.gitkraken.com/). Once you are more comfortable, use the terminal\n", "\n", "\n", "\n", "- basic workflow:\n", "1. create a branch\n", "2. commit changes\n", "3. submit pull request\n", "4. discuss\n", "5. merge & delete branch\n", "\n", "- keep your project clear and organized:\n", "\n", "\n", "\n", "```bash\n", "├── LICENSE\n", "├── Makefile # Makefile with commands like `make data` or `make figures`\n", "├── README.md # The top-level README for developers using this project.\n", "├── data\n", "│ ├── processed # The final, canonical data sets for modeling.\n", "│ └── raw # The original, immutable data dump.\n", "│\n", "├── notebooks # Jupyter notebooks.\n", "│\n", "├── reports # Generated analysis as HTML, PDF, LaTeX, etc.\n", "│ └── figures # Generated graphics and figures to be used in reporting\n", "│\n", "├── environment.yml # The requirements file for reproducing the analysis environment\n", "│\n", "├── setup.py # Make this project pip installable with `pip install -e`\n", "│\n", "└── src # Source code for use in this project.\n", " └── __init__.py # Makes src a Python module\n", "```\n", "\n", "### Why using git?\n", "\n", "- no more:\n", "```\n", ".\n", "├── inverse_kinematics_1.py\n", "├── inverse_kinematics_1_NEW.py\n", "├── inverse_kinematics_1_NOT_WORKING.py\n", "├── inverse_kinematics_1_old.py\n", "├── inverse_kinematics_2.py\n", "├── inverse_kinematics_2_v2.py\n", "└── inverse_kinematics.py\n", "```\n", "\n", "\n", "- you have access to all your commit history\n", "\n", "- you can try out new features or analysis, without risking breaking your code (as you can always go back)\n", "\n", "- working in collaboration with others is greatly simplified" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tips 3: Do not comment your code\n", "\n", "> “Good code is self-documenting.”\n", "\n", "With proper variable and function naming along with good code structure, there is no need to comment your code.\n", "\n", "If you need to comment your code, there is something wrong about it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tips 4: Do not use notebooks for everything\n", "\n", "If you create a lot of functions and break your code into files, you will need a __debugger__.\n", "\n", "IDEs like [Pycharm](https://www.jetbrains.com/pycharm/) or [VSCode](https://code.visualstudio.com/) are essential to be productive.\n", "\n", "0. intelligent coding assistance\n", "\n", "\n", "\n", "1. Debug a script (`shift` + `f9`)\n", "\n", "\n", "\n", "3. navigate in a project (`ctrl` + `left click`)\n", "\n", "4. Autoformat code (`ctrl` + `alt` + `l`)\n", "\n", "\n", "\n", "5. find (`ctrl` + `shift` + `f`) & replace (`ctrl` + `shift` + `r`) anywhere\n", "\n", "6. quickly switch between files (`ctrl` + `E`)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tips 5: Learn pandas and _tidy_ your data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def parse_condition(filename):\n", " split = filename.split(\"_\")\n", " return {\n", " \"participant\": split[0],\n", " \"men\": int(split[3].replace(\"sex\", \"\")),\n", " \"trial\": int(split[4]),\n", " }" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Batch processing: the standard way\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "from pathlib import Path\n", "import numpy as np\n", "\n", "data_path = Path(\"..\") / \"data\" / \"emg\"\n", "\n", "data = []\n", "\n", "for file in data_path.glob(\"*12kg*.csv\"):\n", " participant_data = parse_condition(file.stem)\n", " participant_data[\"data\"] = pd.read_csv(file).values\n", " data.append(participant_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is painful to manipulate data:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.16987757439041135, 0.17978722071676356)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "## what is the average activation and std?\n", "average_activation = np.mean([datum[\"data\"].mean() for datum in data])\n", "std_activation = np.mean([datum[\"data\"].std() for datum in data])\n", "\n", "average_activation, std_activation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(162, 100, 4)\n", "men:\n", "\t(array([0.16978336, 0.13687674, 0.05866497, 0.13269824]), array([0.06898431, 0.0621106 , 0.05098515, 0.04274449]))\n", "women:\n", "\t(array([0.23464016, 0.17574844, 0.0851742 , 0.29283968]), array([0.07309967, 0.05686183, 0.04210597, 0.01803945]))\n" ] } ], "source": [ "## what is the average activation by muscle and by sex?\n", "men_data = np.array([datum[\"data\"] for datum in data if datum[\"men\"]])\n", "women_data = np.array([datum[\"data\"] for datum in data if not datum[\"men\"]])\n", "\n", "print(men_data.shape)\n", "\n", "average_activation_men = men_data.mean(axis=0).mean(axis=0)\n", "std_activation_men = men_data.std(axis=0).std(axis=0)\n", "\n", "average_activation_women = women_data.mean(axis=0).mean(axis=0)\n", "std_activation_women = women_data.std(axis=0).std(axis=0)\n", "\n", "print(\"men:\")\n", "print(f\"\\t{average_activation_men, std_activation_men}\")\n", "\n", "print(\"women:\")\n", "print(f\"\\t{average_activation_women, std_activation_women}\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## plot a line plot with mean +/- std by sex\n", "time_average_men = men_data.mean(axis=-1).mean(axis=0)\n", "time_std_men = men_data.std(axis=0).mean(axis=1)\n", "\n", "time_average_women = women_data.mean(axis=-1).mean(axis=0)\n", "time_std_women = women_data.std(axis=0).mean(axis=1)\n", "\n", "frames = np.arange(time_average_men.shape[0])\n", "\n", "plt.plot(time_average_men, label=\"men\")\n", "plt.fill_between(\n", " frames, time_average_men - time_std_men, time_average_men + time_std_men, alpha=0.4\n", ")\n", "plt.plot(time_average_women, label=\"women\")\n", "plt.fill_between(\n", " frames,\n", " time_average_women - time_std_women,\n", " time_average_women + time_std_women,\n", " alpha=0.4,\n", ")\n", "sns.despine()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## plot a boxplot of the average activation by muscle and sex\n", "men_boxplot_data = men_data.reshape(-1, 4)\n", "women_boxplot_data = women_data.reshape(-1, 4)\n", "\n", "f, ax = plt.subplots(1, 2, sharey=True, figsize=(10, 5))\n", "\n", "ax[0].boxplot(men_boxplot_data)\n", "ax[1].boxplot(women_boxplot_data)\n", "\n", "sns.despine()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Batch processing: the pandas way\n", "\n", "Most tasks are easier with tidy data (aggregation, plotting, statistics, ...)\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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participantmentrialindexmuscleemg
0alef020deltant0.008289
1alef021deltant0.017571
2alef022deltant0.021931
3alef023deltant0.017753
4alef024deltant0.011484
\n", "
" ], "text/plain": [ " participant men trial index muscle emg\n", "0 alef 0 2 0 deltant 0.008289\n", "1 alef 0 2 1 deltant 0.017571\n", "2 alef 0 2 2 deltant 0.021931\n", "3 alef 0 2 3 deltant 0.017753\n", "4 alef 0 2 4 deltant 0.011484" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "emg = pd.concat(\n", " [\n", " pd.read_csv(file).assign(**parse_condition(file.stem)).reset_index()\n", " for file in data_path.glob(\"*12kg*.csv\")\n", " ]\n", ").melt(\n", " id_vars=[\"participant\", \"men\", \"trial\", \"index\"],\n", " value_name=\"emg\",\n", " var_name=\"muscle\",\n", ")\n", "emg.head()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meanstd
men
00.1971010.219823
10.1245060.153920
\n", "
" ], "text/plain": [ " mean std\n", "men \n", "0 0.197101 0.219823\n", "1 0.124506 0.153920" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "emg.groupby([\"men\"])[\"emg\"].agg([\"mean\", \"std\"])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meanstd
menmuscle
0deltant0.2346400.232146
deltmed0.1757480.166668
deltpost0.0851740.105463
ssp0.2928400.277385
1deltant0.1697830.191040
deltmed0.1368770.154095
deltpost0.0586650.098057
ssp0.1326980.135305
\n", "
" ], "text/plain": [ " mean std\n", "men muscle \n", "0 deltant 0.234640 0.232146\n", " deltmed 0.175748 0.166668\n", " deltpost 0.085174 0.105463\n", " ssp 0.292840 0.277385\n", "1 deltant 0.169783 0.191040\n", " deltmed 0.136877 0.154095\n", " deltpost 0.058665 0.098057\n", " ssp 0.132698 0.135305" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "emg.groupby([\"men\", \"muscle\"])[\"emg\"].agg([\"mean\", \"std\"])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "sns.boxplot(data=emg, x=\"emg\", y=\"muscle\", hue=\"men\")\n", "sns.despine(offset=10, trim=True)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lineplot(data=emg, x=\"index\", y=\"emg\", hue=\"men\", ci=\"sd\")\n", "sns.despine(offset=10, trim=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tips 6: Effective data visualization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Matplotlib\n", "\n", "[Matplotlib](https://matplotlib.org/) is the basic, yet the most complete python plotting library.\n", "\n", "It provides a plotting system similar to that of _MATLAB_, where everything is customizable.\n", "\n", "Matplotlib has built up something of a bad reputation for being verbose. I think that complaint is valid, but misplaced. Matplotlib lets you control essentially anything on the figure." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the x and y coordinates for points on a sine curve\n", "x = np.arange(0, 3 * np.pi, 0.1)\n", "y_sin = np.sin(x)\n", "y_cos = np.cos(x)\n", "\n", "# Plot the points using matplotlib\n", "plt.plot(x, y_cos)\n", "plt.plot(x, y_sin)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# a better plot\n", "plt.plot(x, y_cos, label=\"Cosine\")\n", "plt.plot(x, y_sin, label=\"Sine\")\n", "\n", "plt.xlabel(\"X label\")\n", "plt.ylabel(\"Y label\")\n", "plt.legend(bbox_to_anchor=(1, 0.8), frameon=False)\n", "\n", "sns.despine()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# subplots\n", "_, ax = plt.subplots(nrows=2, ncols=1)\n", "\n", "ax[0].plot(x, y_cos, \"g-\")\n", "ax[0].set_title(\"Cosine\")\n", "\n", "ax[1].plot(x, y_sin, \"b-\")\n", "ax[1].set_title(\"Sine\")\n", "\n", "plt.tight_layout()\n", "sns.despine()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Examples gallery\n", "\n", "The [examples gallery](https://matplotlib.org/gallery/index.html) is a good place to see what can be done with Matplotlib." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Other libraries\n", "\n", "In real life (publication figures), I prefer two other libraries:\n", "\n", "- [Seaborn](http://seaborn.pydata.org/): provides a high-level interface for drawing attractive statistical graphics. It gives a great API for quickly exploring \n", "different visual representations of your data.\n", " - [Examples gallery](https://seaborn.pydata.org/examples/wide_data_lineplot.html)\n", "- [Altair](https://github.com/altair-viz/altair): like seaborn, but interactive and less verbose. my personal choice.\n", " - [Examples gallery](https://altair-viz.github.io/gallery/index.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data visualisation checklist\n", "\n", "1. Start with a question in mind\n", "\n", "2. Choose metrics that matter\n", " - not too many\n", " - variable that can resonate with your audience\n", "\n", "3. Use the right chart type\n", " - examples in [data-to-viz](https://www.data-to-viz.com/)\n", " - no 3D-charts, pie chart or radar chart\n", "\n", "4. Write with the good fonts\n", " - not to small\n", " - **bold** or _italic_, not both\n", " - avoid ALL CAPS\n", " - no angles\n", " - keep it simple\n", "\n", "5. Highlight with the right colour\n", " - the less the better (less than 7)\n", " - same variable, same colour\n", "\n", "6. Look for your data-ink ratio\n", " - [example](https://speakerdeck.com/cherdarchuk/remove-to-improve-the-data-ink-ratio)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Biomechanical analysis with Pyomeca](01.03-intro-to-pyomeca.ipynb) | [Contents](index.ipynb) | [Introduction to musculoskeletal modelling](02.00-musculoskeletal-modelling.ipynb) >" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:tutorials]", "language": "python", "name": "conda-env-tutorials-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.2" }, "pycharm": { "stem_cell": { "cell_type": "raw", "metadata": { "collapsed": false }, "source": [] } }, "toc-autonumbering": false }, "nbformat": 4, "nbformat_minor": 4 }