Skip to content

Instantly share code, notes, and snippets.

@minghao912
Created November 4, 2022 23:39
Show Gist options
  • Save minghao912/6ecf376a0e30c3cc4fc4f82d821d7f18 to your computer and use it in GitHub Desktop.
Save minghao912/6ecf376a0e30c3cc4fc4f82d821d7f18 to your computer and use it in GitHub Desktop.
C&EE 181/281 HW 2 Q4
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These functions implement the Intelligent Driver Model"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# current_v = current velocity of car\n",
"# v_difference (approaching rate) = current velocity of car - velocity of car in front\n",
"def s_star(current_v, v_difference):\n",
" # vales for typical highway\n",
" s_0 = 2\n",
" a = 1.0\n",
" b = 1.5\n",
" T = 1.0\n",
"\n",
" v_times_delta_v = current_v * v_difference\n",
" root_ab = math.sqrt(a * b)\n",
" vT = current_v * T\n",
"\n",
" return s_0 + max(0, vT + (v_times_delta_v / (2 * root_ab)))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# current_v = current velocity of car\n",
"# v_difference (approaching rate) = current velocity of car - velocity of car in front\n",
"# net_distance (s) = position of lead car - position of current car - vehicle length (5m default)\n",
"def acceleration(current_v, v_difference, net_distance):\n",
" # values for typical highway\n",
" v_0 = 33.33 # 120 km/h to m/s\n",
" a = 1.0\n",
" delta = 4\n",
"\n",
" s_star_val = s_star(current_v, v_difference)\n",
"\n",
" first_term = (current_v / v_0) ** delta\n",
" second_term = (s_star_val / net_distance) ** 2\n",
"\n",
" return a * (1 - first_term - second_term)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we work on the first cycle.\n",
"\n",
"The code in this first chunk configures the movement of the lead (1st) car."
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [],
"source": [
"# 1st car\n",
"# 1 second = 10 \"ticks\"\n",
"a_1st_car = []\n",
"v_1st_car = []\n",
"\n",
"# 10 secs @ 25.5 m/s\n",
"a_1st_car = [0 for _ in range(100)]\n",
"v_1st_car = [25.5 for _ in range(100)]\n",
"\n",
"# accelerate to 29.5 m/s at 0.25 m/s^2 (16 sec)\n",
"curr_v = 25.5\n",
"for i in range(160):\n",
" a = 0.25\n",
" a_1st_car.append(0.25)\n",
" delta_v = a * (1/10)\n",
" new_v = curr_v + delta_v\n",
" v_1st_car.append(new_v)\n",
" curr_v = new_v\n",
"\n",
"# 10 secs @ 29.5 m/s\n",
"for i in range(100):\n",
" v_1st_car.append(29.5)\n",
" a_1st_car.append(0)\n",
"\n",
"# decelerate to 25.5 m/s at 0.125 m/s^2 (32 sec)\n",
"curr_v = 29.5\n",
"for j in range(320):\n",
" a = 0.125\n",
" a_1st_car.append(0.125)\n",
" delta_v = a * (1/10)\n",
" new_v = curr_v - delta_v\n",
" v_1st_car.append(new_v)\n",
" curr_v = new_v\n",
"\n",
"# 10 secs @ 25.5 m/s\n",
"for i in range(100):\n",
" v_1st_car.append(25.5)\n",
" a_1st_car.append(0)\n",
"\n",
"\n",
"# calculate distances\n",
"x_1st_car = [0]\n",
"curr_x = 0\n",
"for i in range(1, len(v_1st_car)):\n",
" delta_x = v_1st_car[i - 1] * (1/10)\n",
" new_x = curr_x + delta_x\n",
" x_1st_car.append(new_x)\n",
" curr_x = new_x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The code in the next few chunks implements the model for the four following cars."
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [],
"source": [
"a_2nd_car = [0]\n",
"v_2nd_car = [25.5]\n",
"x_2nd_car = [-5]\n",
"net_dist_2nd_car = [5] # 5m away from car in front\n",
"time_gap_2nd_car = [0]\n",
"\n",
"for i in range(len(x_1st_car)):\n",
" # get current values\n",
" curr_v_2nd_car = v_2nd_car[i]\n",
" curr_x_2nd_car = x_2nd_car[i]\n",
"\n",
" curr_v_1st_car = v_1st_car[i]\n",
" curr_x_1st_car = x_1st_car[i]\n",
"\n",
" v_diff = curr_v_2nd_car - curr_v_1st_car\n",
" net_dist = curr_x_1st_car - curr_x_2nd_car\n",
" \n",
" # get new values\n",
" new_a = acceleration(curr_v_2nd_car, v_diff, net_dist)\n",
" new_v = curr_v_2nd_car + (new_a * 0.1) # v = v_0 + at\n",
" new_x = curr_x_2nd_car + (new_v * 0.1) # x = x_0 + vt\n",
"\n",
" # store new values\n",
" a_2nd_car.append(new_a)\n",
" v_2nd_car.append(new_v)\n",
" x_2nd_car.append(new_x)\n",
" net_dist_2nd_car.append(net_dist)\n",
" time_gap_2nd_car.append(net_dist / curr_v_2nd_car)\n",
" \n"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {},
"outputs": [],
"source": [
"a_3rd_car = [0]\n",
"v_3rd_car = [25.5]\n",
"x_3rd_car = [-10]\n",
"net_dist_3rd_car = [5]\n",
"time_gap_3rd_car = [0]\n",
"\n",
"for i in range(len(x_1st_car)):\n",
" # get current values\n",
" curr_v_3rd_car = v_3rd_car[i]\n",
" curr_x_3rd_car = x_3rd_car[i]\n",
"\n",
" curr_v_2nd_car = v_2nd_car[i]\n",
" curr_x_2nd_car = x_2nd_car[i]\n",
"\n",
" v_diff = curr_v_3rd_car - curr_v_2nd_car\n",
" net_dist = curr_x_2nd_car - curr_x_3rd_car\n",
"\n",
" # get new values\n",
" new_a = acceleration(curr_v_3rd_car, v_diff, net_dist)\n",
" new_v = curr_v_3rd_car + (new_a * 0.1) # v = v_0 + at\n",
" new_x = curr_x_3rd_car + (new_v * 0.1) # x = x_0 + vt\n",
"\n",
" # store new values\n",
" a_3rd_car.append(new_a)\n",
" v_3rd_car.append(new_v)\n",
" x_3rd_car.append(new_x)\n",
" net_dist_3rd_car.append(net_dist)\n",
" time_gap_3rd_car.append(net_dist / curr_v_3rd_car)"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [],
"source": [
"a_4th_car = [0]\n",
"v_4th_car = [25.5]\n",
"x_4th_car = [-15]\n",
"net_dist_4th_car = [5]\n",
"time_gap_4th_car = [0]\n",
"\n",
"for i in range(len(x_1st_car)):\n",
" # get current values\n",
" curr_v_4th_car = v_4th_car[i]\n",
" curr_x_4th_car = x_4th_car[i]\n",
"\n",
" curr_v_3rd_car = v_3rd_car[i]\n",
" curr_x_3rd_car = x_3rd_car[i]\n",
"\n",
" v_diff = curr_v_4th_car - curr_v_3rd_car\n",
" net_dist = curr_x_3rd_car - curr_x_4th_car\n",
"\n",
" # get new values\n",
" new_a = acceleration(curr_v_4th_car, v_diff, net_dist)\n",
" new_v = curr_v_4th_car + (new_a * 0.1) # v = v_0 + at\n",
" new_x = curr_x_4th_car + (new_v * 0.1) # x = x_0 + vt\n",
"\n",
" # store new values\n",
" a_4th_car.append(new_a)\n",
" v_4th_car.append(new_v)\n",
" x_4th_car.append(new_x)\n",
" net_dist_4th_car.append(net_dist)\n",
" time_gap_4th_car.append(net_dist / curr_v_4th_car)"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [],
"source": [
"a_5th_car = [0]\n",
"v_5th_car = [25.5]\n",
"x_5th_car = [-20]\n",
"net_dist_5th_car = [5]\n",
"time_gap_5th_car = [0]\n",
"\n",
"for i in range(len(x_1st_car)):\n",
" # get current values\n",
" curr_v_5th_car = v_5th_car[i]\n",
" curr_x_5th_car = x_5th_car[i]\n",
"\n",
" curr_v_4th_car = v_4th_car[i]\n",
" curr_x_4th_car = x_4th_car[i]\n",
"\n",
" v_diff = curr_v_5th_car - curr_v_4th_car\n",
" net_dist = curr_x_4th_car - curr_x_5th_car\n",
"\n",
" # get new values\n",
" new_a = acceleration(curr_v_5th_car, v_diff, net_dist)\n",
" new_v = curr_v_5th_car + (new_a * 0.1) # v = v_0 + at\n",
" new_x = curr_x_5th_car + (new_v * 0.1) # x = x_0 + vt\n",
"\n",
" # store new values\n",
" a_5th_car.append(new_a)\n",
" v_5th_car.append(new_v)\n",
" x_5th_car.append(new_x)\n",
" net_dist_5th_car.append(net_dist)\n",
" time_gap_5th_car.append(net_dist / curr_v_5th_car)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plots follow."
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 1: Acceleration')"
]
},
"execution_count": 127,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(a_1st_car[10:])\n",
"plt.plot(a_2nd_car[10:])\n",
"plt.plot(a_3rd_car[10:])\n",
"plt.plot(a_4th_car[10:])\n",
"plt.plot(a_5th_car[10:])\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Acceleration (m/s^2)\")\n",
"plt.legend([\"Lead car\", \"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 1: Acceleration\")"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 1: Velocity')"
]
},
"execution_count": 126,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(v_1st_car)\n",
"plt.plot(v_2nd_car)\n",
"plt.plot(v_3rd_car)\n",
"plt.plot(v_4th_car)\n",
"plt.plot(v_5th_car)\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Velocity (m/s)\")\n",
"plt.legend([\"Lead car\", \"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 1: Velocity\")"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 1: Distance travelled')"
]
},
"execution_count": 125,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x_1st_car)\n",
"plt.plot(x_2nd_car)\n",
"plt.plot(x_3rd_car)\n",
"plt.plot(x_4th_car)\n",
"plt.plot(x_5th_car)\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Distance travelled (m)\")\n",
"plt.legend([\"Lead car\", \"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 1: Distance travelled\")"
]
},
{
"cell_type": "code",
"execution_count": 124,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 1: Distance gap')"
]
},
"execution_count": 124,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(net_dist_2nd_car)\n",
"plt.plot(net_dist_3rd_car)\n",
"plt.plot(net_dist_4th_car)\n",
"plt.plot(net_dist_5th_car)\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Distance to car in front (m)\")\n",
"plt.legend([\"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 1: Distance gap\")"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 1: Time gap')"
]
},
"execution_count": 123,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(time_gap_2nd_car)\n",
"plt.plot(time_gap_3rd_car)\n",
"plt.plot(time_gap_4th_car)\n",
"plt.plot(time_gap_5th_car)\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Time to car in front (m)\")\n",
"plt.legend([\"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 1: Time gap\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, for the second cycle.\n",
"\n",
"As above, this first chunk configures the acceleration of the lead (1st) car."
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"# 1st car\n",
"# 1 second = 10 \"ticks\"\n",
"a_1st_car_b = []\n",
"v_1st_car_b = []\n",
"\n",
"# 10 secs @ 25.5 m/s\n",
"a_1st_car_b = [0 for _ in range(100)]\n",
"v_1st_car_b = [25.5 for _ in range(100)]\n",
"\n",
"# accelerate to 29.5 m/s at 1.0 m/s^2 (1/10)g\n",
"curr_v = 25.5\n",
"for i in range(40):\n",
" a = 1\n",
" a_1st_car_b.append(1)\n",
" delta_v = a * (1/10)\n",
" new_v = curr_v + delta_v\n",
" v_1st_car_b.append(new_v)\n",
" curr_v = new_v\n",
"\n",
"# now switch to 15 secs @ 29.5 m/s\n",
"for i in range(150):\n",
" v_1st_car_b.append(29.5)\n",
" a_1st_car_b.append(0)\n",
"\n",
"# decelerate to 25.5 m/s at 1 m/s^2 (4 sec)\n",
"curr_v = 29.5\n",
"for j in range(40):\n",
" a = 1\n",
" a_1st_car_b.append(1)\n",
" delta_v = a * (1/10)\n",
" new_v = curr_v - delta_v\n",
" v_1st_car_b.append(new_v)\n",
" curr_v = new_v\n",
"\n",
"# 15 secs @ 25.5 m/s\n",
"for i in range(150):\n",
" v_1st_car_b.append(25.5)\n",
" a_1st_car_b.append(0)\n",
"\n",
"\n",
"# calculate distances\n",
"x_1st_car_b = [0]\n",
"curr_x = 0\n",
"for i in range(1, len(v_1st_car_b)):\n",
" delta_x = v_1st_car_b[i - 1] * (1/10)\n",
" new_x = curr_x + delta_x\n",
" x_1st_car_b.append(new_x)\n",
" curr_x = new_x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, we implement the model for four following cars"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [],
"source": [
"a_cars = [a_1st_car_b]\n",
"v_cars = [v_1st_car_b]\n",
"x_cars = [x_1st_car_b]\n",
"net_dist_cars = [[]]\n",
"time_gap_cars = [[]]\n",
"\n",
"for car_no in range(1, 5):\n",
" a_this_car = [0]\n",
" v_this_car = [25.5]\n",
" x_this_car = [-5 * car_no] # car_no number of car lengths behind first car\n",
" net_dist_this_car = [5] # 5m away from car in front\n",
" time_gap_this_car = [0]\n",
"\n",
" x_front_car = x_cars[car_no - 1]\n",
"\n",
" for i in range(len(x_front_car)):\n",
" # retreive front car values from list\n",
" v_front_car = v_cars[car_no - 1]\n",
" x_front_car = x_cars[car_no - 1]\n",
"\n",
" # get current values\n",
" curr_v_this_car = v_this_car[i]\n",
" curr_x_this_car = x_this_car[i]\n",
"\n",
" curr_v_front_car = v_front_car[i]\n",
" curr_x_front_car = x_front_car[i]\n",
"\n",
" v_diff = curr_v_this_car - curr_v_front_car\n",
" net_dist = curr_x_front_car - curr_x_this_car\n",
" \n",
" # get new values\n",
" new_a = acceleration(curr_v_this_car, v_diff, net_dist)\n",
" new_v = curr_v_this_car + (new_a * 0.1) # v = v_0 + at\n",
" new_x = curr_x_this_car + (new_v * 0.1) # x = x_0 + vt\n",
"\n",
" # store new values\n",
" a_this_car.append(new_a)\n",
" v_this_car.append(new_v)\n",
" x_this_car.append(new_x)\n",
" net_dist_this_car.append(net_dist)\n",
" time_gap_this_car.append(net_dist / curr_v_this_car)\n",
"\n",
" # done computing one car, add to list\n",
" a_cars.append(a_this_car)\n",
" v_cars.append(v_this_car)\n",
" x_cars.append(x_this_car)\n",
" net_dist_cars.append(net_dist_this_car)\n",
" time_gap_cars.append(time_gap_this_car)"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 2: Acceleration')"
]
},
"execution_count": 105,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for a in a_cars:\n",
" plt.plot(a[10:])\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Acceleration (m/s^2)\")\n",
"plt.legend([\"Lead car\", \"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 2: Acceleration\")"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 2: Velocity')"
]
},
"execution_count": 106,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for v in v_cars:\n",
" plt.plot(v)\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Velocity (m/s)\")\n",
"plt.legend([\"Lead car\", \"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 2: Velocity\")"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 2: Distance travelled')"
]
},
"execution_count": 107,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for x in x_cars:\n",
" plt.plot(x)\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Distance travelled (m)\")\n",
"plt.legend([\"Lead car\", \"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 2: Distance travelled\")"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 2: Distance gap')"
]
},
"execution_count": 108,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for d in net_dist_cars:\n",
" plt.plot(d)\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Distance to car in front (m)\")\n",
"plt.legend([\"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 2: Distance gap\")"
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0.98, 'Cycle 2: Time gap')"
]
},
"execution_count": 109,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for t in time_gap_cars:\n",
" plt.plot(t)\n",
"\n",
"plt.xlabel(\"Time (* 0.1 seconds)\")\n",
"plt.ylabel(\"Time to car in front (s)\")\n",
"plt.legend([\"Car 2\", \"Car 3\", \"Car 4\", \"Car 5\"])\n",
"plt.suptitle(\"Cycle 2: Time gap\")"
]
}
],
"metadata": {
"interpreter": {
"hash": "b89b5cfaba6639976dc87ff2fec6d58faec662063367e2c229c520fe71072417"
},
"kernelspec": {
"display_name": "Python 3.10.0 64-bit",
"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": "3.10.0"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment