mirror of
https://github.com/TeachBooks/template.git
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411 lines
186 KiB
Text
411 lines
186 KiB
Text
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "65cbe2ec-de72-44d4-8af9-a969b06134a9",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from matplotlib import rcParams\n",
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"from scipy.interpolate import make_interp_spline\n",
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"rcParams.update({'font.size': 16})\n",
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"# TUDelft colors palette\n",
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"colors = [\"#0C2340\",\"#00B8C8\",\"#0076C2\",\"#6F1D77\",\"#EF60A3\",\"#A50034\",\"#E03C31\",\"#EC6842\",\"#FFB81C\",\"#6CC24A\",\"#009B77\"]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 191,
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"id": "ba992138",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[0. 0.33333333 0.56632333 0.66666667 0.89965667 1. ]\n",
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"[1.00100000e-04 6.67666667e-05 4.34676665e-05 3.34333333e-05\n",
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" 1.01343332e-05 1.00000000e-07]\n"
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]
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}
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],
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"source": [
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"print(np.log(x)/np.log(1000))\n",
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"\n",
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"print(y)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 285,
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"id": "1c820b9d",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(1e-07, 0.001)"
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]
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},
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"execution_count": 285,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"right = 500\n",
|
|
"top = .5e-5\n",
|
|
"\n",
|
|
"u = np.array([1, 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120, 150, 180, 200, 220, 250, 275, 300, 350, 400, 450, 475])\n",
|
|
"v = 1e-8 + top*(np.log(right) - np.log(u))**3/np.log(right)\n",
|
|
"\n",
|
|
"fig, ax = plt.subplots()\n",
|
|
"ax.loglog(u, v, color=colors[0], label=\"Ellipse\")\n",
|
|
"ax.set_xlim(1, 1000)\n",
|
|
"ax.set_ylim(1e-7, 1e-3)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 340,
|
|
"id": "f7c03e2f",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[ 1.00e-04 6.00e-05 3.00e-05 1.00e-05 3.98e-06 1.98e-06 9.80e-07\n",
|
|
" 6.00e-08 -8.50e-07]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"right = 500\n",
|
|
"top = .5e-5\n",
|
|
"\n",
|
|
"u = np.array([1, 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120, 150, 180, 200, 220, 250, 275, 300, 350, 400, 450, 475])\n",
|
|
"v = 1e-8 + top*(np.log(right) - np.log(u))**3/np.log(right)\n",
|
|
"\n",
|
|
"# fig, ax = plt.subplots()\n",
|
|
"# ax.loglog(u, v, color=colors[0], label=\"Ellipse\")\n",
|
|
"# ax.set_xlim(1, 1000)\n",
|
|
"# ax.set_ylim(1e-7, 1e-3)\n",
|
|
"\n",
|
|
"C = 10**-3\n",
|
|
"alpha = 2\n",
|
|
"\n",
|
|
"limit_line_N = np.array([1, 1000])\n",
|
|
"limit_line_P = C/limit_line_N**alpha\n",
|
|
"\n",
|
|
"N = np.array([1, 7, 20, 40, 60, 100, 160, 200, 300])\n",
|
|
"N_pmf = np.array([0.9999,\n",
|
|
" 0.00004,\n",
|
|
" 0.00003,\n",
|
|
" 0.00002,\n",
|
|
" 0.00000602,\n",
|
|
" 0.000002,\n",
|
|
" 0.000001,\n",
|
|
" 0.00000092,\n",
|
|
" 0.00000091])\n",
|
|
"N_cdf = np.cumsum(N_pmf)\n",
|
|
"N_exc = 1 - N_cdf\n",
|
|
"print(N_exc)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 341,
|
|
"id": "2c5ef408",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x600 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# -----------------------------------------------------------------\n",
|
|
"plot_title = \"\"\n",
|
|
"font = \"Arial\"\n",
|
|
"x_label = \"Fatalities, N [$-$]\"\n",
|
|
"y_label = \"Probability of Exceedance, $1-F_N(n)$ [$-$]\"\n",
|
|
"legend = True\n",
|
|
"grid = True\n",
|
|
"save_svg = True\n",
|
|
"remove_ticks = False\n",
|
|
"remove_ticks_labels = False\n",
|
|
"file_name = \"../book/figures/fn_simple01\"\n",
|
|
"# -----------------------------------------------------------------\n",
|
|
"\n",
|
|
"fig = plt.figure(figsize=(8,6))\n",
|
|
"ax = fig.add_subplot() # axes_class=AxesZero)\n",
|
|
"ax.set_title(plot_title, fontfamily=font)\n",
|
|
"ax.set_xlabel(x_label, fontfamily=font)\n",
|
|
"ax.set_ylabel(y_label, fontfamily=font)\n",
|
|
"\n",
|
|
"plt.setp(ax.spines.values(), linewidth=2)\n",
|
|
"\n",
|
|
"# Visualize\n",
|
|
"\n",
|
|
"# plotting\n",
|
|
"# ax.plot(limit_line_N, limit_line_P, '--', label='Limit Line', color=colors[0], linewidth=4)\n",
|
|
"ax.plot(u, v, label='Risk Curve', color=colors[1], linewidth=4)\n",
|
|
"\n",
|
|
"# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n",
|
|
"# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n",
|
|
"\n",
|
|
"ax.set_xscale('log')\n",
|
|
"ax.set_yscale('log')\n",
|
|
"\n",
|
|
"ax.set_xlim(1, 1000)\n",
|
|
"ax.set_ylim(10**(-7),.001)\n",
|
|
"# ax.set_yticks([10**(-7),10**(-5),10**(-3),10**(-1)])\n",
|
|
"\n",
|
|
"ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n",
|
|
"ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n",
|
|
"\n",
|
|
"if grid: ax.grid()\n",
|
|
"if legend: ax.legend(prop={\"family\":font})\n",
|
|
"if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n",
|
|
"if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n",
|
|
"if save_svg: plt.savefig(file_name + '.svg')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 343,
|
|
"id": "fc2eb45c-9f4e-4fbd-91c3-dc0ff10b4c46",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x600 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# -----------------------------------------------------------------\n",
|
|
"plot_title = \"\"\n",
|
|
"font = \"Arial\"\n",
|
|
"x_label = \"Fatalities, N [$-$]\"\n",
|
|
"y_label = \"Probability of Exceedance, $1-F_N(n)$ [$-$]\"\n",
|
|
"legend = True\n",
|
|
"grid = True\n",
|
|
"save_svg = True\n",
|
|
"remove_ticks = False\n",
|
|
"remove_ticks_labels = False\n",
|
|
"file_name = \"../book/figures/fn_limit01\"\n",
|
|
"# -----------------------------------------------------------------\n",
|
|
"\n",
|
|
"fig = plt.figure(figsize=(8,6))\n",
|
|
"ax = fig.add_subplot() # axes_class=AxesZero)\n",
|
|
"ax.set_title(plot_title, fontfamily=font)\n",
|
|
"ax.set_xlabel(x_label, fontfamily=font)\n",
|
|
"ax.set_ylabel(y_label, fontfamily=font)\n",
|
|
"\n",
|
|
"plt.setp(ax.spines.values(), linewidth=2)\n",
|
|
"# ax.spines[\"left\"].set_position((\"data\", 0))\n",
|
|
"# ax.spines[\"bottom\"].set_position((\"data\", 0))\n",
|
|
"# ax.spines[\"top\"].set_position((\"data\", 1))\n",
|
|
"# ax.spines[\"right\"].set_position((\"data\", 100))\n",
|
|
"\n",
|
|
"# not a permanent solution (removed the part below 0)\n",
|
|
"# ---> find a better way to auto set upper bound\n",
|
|
"# ax.spines.bottom.set_bounds(0, 100)\n",
|
|
"# ax.spines.left.set_bounds(0, 1.0)\n",
|
|
"# ax.spines.top.set_bounds(0, 100)\n",
|
|
"# ax.spines.right.set_bounds(0, 1.0)\n",
|
|
"\n",
|
|
"# Visualize\n",
|
|
"\n",
|
|
"# plotting\n",
|
|
"ax.step(N, N_exc, where='post', label='Risk Curve', color=colors[1], linewidth=4)\n",
|
|
"ax.plot(limit_line_N, limit_line_P, '--', label='Limit Line', color=colors[0], linewidth=4)\n",
|
|
"# ax.plot(u, v, label='Risk Curve 2', color=colors[2], linewidth=4)\n",
|
|
"\n",
|
|
"# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n",
|
|
"# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n",
|
|
"\n",
|
|
"ax.set_xscale('log')\n",
|
|
"ax.set_yscale('log')\n",
|
|
"\n",
|
|
"ax.set_xlim(1, 1000)\n",
|
|
"ax.set_ylim(10**(-9),.001)\n",
|
|
"# ax.set_yticks([10**(-7),10**(-5),10**(-3),10**(-1)])\n",
|
|
"\n",
|
|
"ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n",
|
|
"ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n",
|
|
"\n",
|
|
"if grid: ax.grid()\n",
|
|
"if legend: ax.legend(prop={\"family\":font})\n",
|
|
"if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n",
|
|
"if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n",
|
|
"if save_svg: plt.savefig(file_name + '.svg')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 350,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([5.e-04, 1.e-06])"
|
|
]
|
|
},
|
|
"execution_count": 350,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"limit_line_P"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 368,
|
|
"id": "59293d62",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 800x600 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# -----------------------------------------------------------------\n",
|
|
"plot_title = \"\"\n",
|
|
"font = \"Arial\"\n",
|
|
"x_label = \"Fatalities, N [$-$]\"\n",
|
|
"y_label = \"Probability of Exceedance, $1-F_N(n)$ [$-$]\"\n",
|
|
"legend = True\n",
|
|
"grid = True\n",
|
|
"save_svg = True\n",
|
|
"remove_ticks = True\n",
|
|
"remove_ticks_labels = True\n",
|
|
"file_name = \"../book/figures/fn_limit00\"\n",
|
|
"# -----------------------------------------------------------------\n",
|
|
"\n",
|
|
"fig = plt.figure(figsize=(8,6))\n",
|
|
"ax = fig.add_subplot() # axes_class=AxesZero)\n",
|
|
"ax.set_title(plot_title, fontfamily=font)\n",
|
|
"ax.set_xlabel(x_label, fontfamily=font)\n",
|
|
"ax.set_ylabel(y_label, fontfamily=font)\n",
|
|
"\n",
|
|
"plt.setp(ax.spines.values(), linewidth=2)\n",
|
|
"# ax.spines[\"left\"].set_position((\"data\", 0))\n",
|
|
"# ax.spines[\"bottom\"].set_position((\"data\", 0))\n",
|
|
"# ax.spines[\"top\"].set_position((\"data\", 1))\n",
|
|
"# ax.spines[\"right\"].set_position((\"data\", 100))\n",
|
|
"\n",
|
|
"# not a permanent solution (removed the part below 0)\n",
|
|
"# ---> find a better way to auto set upper bound\n",
|
|
"# ax.spines.bottom.set_bounds(0, 100)\n",
|
|
"# ax.spines.left.set_bounds(0, 1.0)\n",
|
|
"# ax.spines.top.set_bounds(0, 100)\n",
|
|
"# ax.spines.right.set_bounds(0, 1.0)\n",
|
|
"\n",
|
|
"C = 0.003302\n",
|
|
"alpha = 1.173\n",
|
|
"\n",
|
|
"limit_line_N = np.array([1, 10000])\n",
|
|
"limit_line_P = C/limit_line_N**alpha\n",
|
|
"\n",
|
|
"limit_line_N_trim = [1, 5, 1000, 1000]\n",
|
|
"limit_line_P_trim = [5e-4, 5e-4, 1e-6, 1e-7]\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"# Visualize\n",
|
|
"\n",
|
|
"# plotting\n",
|
|
"ax.step(N, N_exc, where='post', label='Risk Curve', color=colors[1], linewidth=4)\n",
|
|
"ax.plot(limit_line_N, limit_line_P, ':', label='Limit Line', color=colors[0], linewidth=4)\n",
|
|
"ax.plot(limit_line_N_trim, limit_line_P_trim, '-', label='Limit Line with Cutoffs', color=colors[0], linewidth=4)\n",
|
|
"# ax.plot(u, v, label='Risk Curve 2', color=colors[2], linewidth=4)\n",
|
|
"\n",
|
|
"# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n",
|
|
"# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"ax.set_xscale('log')\n",
|
|
"ax.set_yscale('log')\n",
|
|
"\n",
|
|
"ax.set_xlim(1, 10000)\n",
|
|
"ax.set_ylim(10**(-7),.01)\n",
|
|
"\n",
|
|
"if grid: ax.grid()\n",
|
|
"if legend: ax.legend(prop={\"family\":font})\n",
|
|
"if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n",
|
|
"if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n",
|
|
"if save_svg: plt.savefig(file_name + '.svg')"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
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