cadCAD/tutorials/videos/robot-marbles-part-4/robot-marbles-part-4.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# cadCAD Template: Robot and the Marbles - Part 4\n",
"\n",
"![](images/Overview.jpeg)\n",
"![](images/Mech1.jpeg)\n",
"\n",
"\n",
"## Non-determinism\n",
"Non-deterministic systems exhibit different behaviors on different runs for the same input. The order of heads and tails in a series of 3 coin tosses, for example, is non deterministic. \n",
"\n",
"Our robots and marbles system is currently modelled as a deterministic system. Meaning that every time we run the simulation: none of the robots act on timestep 1; robot 1 acts on timestep 2; robot 2 acts on timestep 3; an so on. \n",
"\n",
"If however we were to define that at every timestep each robot would act with a probability P, then we would have a non-deterministic (probabilistic) system. Let's make the following changes to our system.\n",
"* Robot 1: instead of acting once every two timesteps, there's a 50% chance it will act in any given timestep\n",
"* Robot 2: instead of acting once every three timesteps, there's a 33.33% chance it will act in any given timestep"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# import libraries\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib \n",
"from cadCAD.engine import ExecutionMode, ExecutionContext, Executor\n",
"import config\n",
"from cadCAD import configs\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%matplotlib inline\n",
"\n",
"exec_mode = ExecutionMode()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"single_proc: [<cadCAD.configuration.Configuration object at 0x10ae23710>]\n",
"[<cadCAD.configuration.Configuration object at 0x10ae23710>]\n"
]
},
{
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" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th>box_A</th>\n",
" <th>box_B</th>\n",
" </tr>\n",
" <tr>\n",
" <th>run</th>\n",
" <th>timestep</th>\n",
" <th>substep</th>\n",
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"text/plain": [
" box_A box_B\n",
"run timestep substep \n",
"1 0 0 10 0\n",
" 1 1 10 0\n",
" 2 1 9 1\n",
" 3 1 9 1\n",
" 4 1 8 2\n",
" 5 1 6 4\n",
" 6 1 5 5\n",
" 7 1 5 5\n",
" 8 1 5 5\n",
" 9 1 5 5\n",
" 10 1 5 5"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Run Cad^2\n",
"\n",
"first_config = configs # only contains config1\n",
"single_proc_ctx = ExecutionContext(context=exec_mode.single_proc)\n",
"run = Executor(exec_context=single_proc_ctx, configs=first_config)\n",
"\n",
"raw_result, tensor_field = run.execute()\n",
"df = pd.DataFrame(raw_result)\n",
"df.set_index(['run', 'timestep', 'substep'])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot('timestep', ['box_A', 'box_B'], grid=True, \n",
" colormap = 'RdYlGn',\n",
" xticks=list(df['timestep'].drop_duplicates()), \n",
" yticks=list(range(1+(df['box_A']+df['box_B']).max())));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Since it is random, lets run it again:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"single_proc: [<cadCAD.configuration.Configuration object at 0x10ae23710>]\n",
"[<cadCAD.configuration.Configuration object at 0x10ae23710>]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Run Cad^2\n",
"\n",
"first_config = configs # only contains config1\n",
"single_proc_ctx = ExecutionContext(context=exec_mode.single_proc)\n",
"run = Executor(exec_context=single_proc_ctx, configs=first_config)\n",
"\n",
"raw_result, tensor_field = run.execute()\n",
"df = pd.DataFrame(raw_result)\n",
"df.plot('timestep', ['box_A', 'box_B'], grid=True, \n",
" colormap = 'RdYlGn',\n",
" xticks=list(df['timestep'].drop_duplicates()), \n",
" yticks=list(range(1+(df['box_A']+df['box_B']).max())));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Run 50 Monte Carlo Runs\n",
"In order to take advantage of cadCAD's Monte Carlo simulation features, we should modify the configuration file so as to define the number of times we want the same simulation to be run. This is done in the N key of the sim_config dictionary."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"single_proc: [<cadCAD.configuration.Configuration object at 0x10ae23710>, <cadCAD.configuration.Configuration object at 0x10b8cd0f0>]\n",
"[<cadCAD.configuration.Configuration object at 0x10ae23710>, <cadCAD.configuration.Configuration object at 0x10b8cd0f0>]\n"
]
}
],
"source": [
"import config2\n",
"first_config = configs # only contains config1\n",
"single_proc_ctx = ExecutionContext(context=exec_mode.single_proc)\n",
"run = Executor(exec_context=single_proc_ctx, configs=first_config)\n",
"\n",
"raw_result, tensor_field = run.execute()\n",
"df2 = pd.DataFrame(raw_result)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th>box_A</th>\n",
" <th>box_B</th>\n",
" </tr>\n",
" <tr>\n",
" <th>run</th>\n",
" <th>timestep</th>\n",
" <th>substep</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th rowspan=\"5\" valign=\"top\">1</th>\n",
" <th>0</th>\n",
" <th>0</th>\n",
" <td>10</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <th>1</th>\n",
" <td>8</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <th>1</th>\n",
" <td>6</td>\n",
" <td>4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <th>1</th>\n",
" <td>5</td>\n",
" <td>5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <th>1</th>\n",
" <td>5</td>\n",
" <td>5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <th>...</th>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th rowspan=\"5\" valign=\"top\">50</th>\n",
" <th>6</th>\n",
" <th>1</th>\n",
" <td>5</td>\n",
" <td>5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <th>1</th>\n",
" <td>5</td>\n",
" <td>5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <th>1</th>\n",
" <td>5</td>\n",
" <td>5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <th>1</th>\n",
" <td>5</td>\n",
" <td>5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <th>1</th>\n",
" <td>5</td>\n",
" <td>5</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>550 rows × 2 columns</p>\n",
"</div>"
],
"text/plain": [
" box_A box_B\n",
"run timestep substep \n",
"1 0 0 10 0\n",
" 1 1 8 2\n",
" 2 1 6 4\n",
" 3 1 5 5\n",
" 4 1 5 5\n",
"... ... ...\n",
"50 6 1 5 5\n",
" 7 1 5 5\n",
" 8 1 5 5\n",
" 9 1 5 5\n",
" 10 1 5 5\n",
"\n",
"[550 rows x 2 columns]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from IPython.display import display\n",
"tmp_rows = pd.options.display.max_rows\n",
"pd.options.display.max_rows = 10\n",
"display(df2.set_index(['run', 'timestep', 'substep']))\n",
"pd.options.display.max_rows = tmp_rows"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plotting two of those runs allows us to see the different behaviors over time."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df2[df2['run']==1].plot('timestep', ['box_A', 'box_B'], grid=True,\n",
" xticks=list(df['timestep'].drop_duplicates()), \n",
" yticks=list(range(11)),\n",
" colormap = 'RdYlGn');\n",
"df2[df2['run']==9].plot('timestep', ['box_A', 'box_B'], grid=True,\n",
" xticks=list(df['timestep'].drop_duplicates()), \n",
" yticks=list(range(11)),\n",
" colormap = 'RdYlGn');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we plot all those runs onto a single chart, we can see every possible trajectory for the number of marbles in each box."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ax = None\n",
"for i in range(50):\n",
" ax = df2[df2['run']==i+1].plot('timestep', ['box_A', 'box_B'],\n",
" grid=True,\n",
" xticks=list(df['timestep'].drop_duplicates()), \n",
" yticks=list(range(1+max(df2['box_A'].max(),df2['box_B'].max()))),\n",
" legend = (ax == None),\n",
" colormap = 'RdYlGn',\n",
" ax = ax\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For some analyses, it might make sense to look at the data in aggregate. Take the median for example:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x10bb37828>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dfmc_median = df2.groupby(['timestep', 'substep']).median().reset_index()\n",
"dfmc_median.plot('timestep', ['box_A', 'box_B'], \n",
" grid=True,\n",
" xticks=list(dfmc_median['timestep'].drop_duplicates()), \n",
" yticks=list(range(int(1+max(dfmc_median['box_A'].max(),dfmc_median['box_B'].max())))),\n",
" colormap = 'RdYlGn'\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Or look at edge cases"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"max_final_A = df2[df2['timestep']==df2['timestep'].max()]['box_A'].max()\n",
"# max_final_A\n",
"slow_runs = df2[(df2['timestep']==df2['timestep'].max()) & \n",
" (df2['box_A']==max_final_A)]['run']\n",
"slow_runs = list(slow_runs)\n",
"slow_runs\n",
"\n",
"ax = None\n",
"for i in slow_runs:\n",
" ax = df2[df2['run']==i].plot('timestep', ['box_A', 'box_B'],\n",
" grid=True,\n",
" xticks=list(df2['timestep'].drop_duplicates()), \n",
" yticks=list(range(1+max(df2['box_A'].max(),df2['box_B'].max()))),\n",
" legend = (ax == None),\n",
" colormap = 'RdYlGn',\n",
" ax = ax\n",
" )"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}