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@UmarZein
Created December 1, 2023 06:50
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Nagel V2
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{
"cells": [
{
"cell_type": "code",
"execution_count": 227,
"id": "39e4aabc-0cc1-4950-acab-b9aaa3f0794d",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"M = 1000\n",
"p = 0.7\n",
"v0 = 0\n",
"d = 2\n",
"nc = 400\n",
"tmax = 5000\n",
"vmax = 5"
]
},
{
"cell_type": "code",
"execution_count": 118,
"id": "f3fb0cf8-ef1b-410c-bc7f-ee9fde34c322",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import random\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"def to_mat(X):\n",
" s=np.zeros(M)\n",
" s[X[(0<=X) & (X<M)]]+=1\n",
" return s.reshape(1,-1)\n"
]
},
{
"cell_type": "code",
"execution_count": 228,
"id": "18e5da71-5b50-4ad2-ae15-c961f0e494af",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"\n",
"X=list(range(M))\n",
"random.shuffle(X)\n",
"X=np.sort(np.array(X[:nc])).astype(int)\n",
"V=(np.zeros(len(X))+v0).astype(int)\n",
"\n",
"#mainloop\n",
"rec=np.zeros((tmax,M)).astype(int)\n",
"for i in range(tmax):\n",
" curr=to_mat(X)\n",
" rec[i]=curr\n",
" X2=X.copy()\n",
" V+=1#(np.random.rand(V.shape[0])<0.2)*d\n",
" r=(np.random.rand(V.shape[0])<p)*d\n",
" V-=r#random deacceleration\n",
" V=np.clip(V,0,vmax)\n",
" X_shifted=np.roll(X,-1)\n",
" X_shifted[-1]=X[-1]+vmax\n",
" V=np.minimum(V,np.maximum(X_shifted-X-1,0))\n",
" X+=V"
]
},
{
"cell_type": "code",
"execution_count": 229,
"id": "d139cfc7-295a-4ceb-b2ac-8e6f279f594c",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4a21bdbbe0>"
]
},
"execution_count": 229,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x1600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.matshow(rec)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "138bc3d9-b0a8-4aaa-94c5-e14c300e7d99",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.9.16"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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