Buckets:
| {"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"gpuType":"T4","authorship_tag":"ABX9TyM8dk/IDAHcaIkF+DiOLIid"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"},"accelerator":"GPU"},"cells":[{"cell_type":"code","execution_count":null,"metadata":{"id":"UifUOnA5g7ot"},"outputs":[],"source":["import numpy as np\n","from matplotlib import pyplot as plt,patches as pat"]},{"cell_type":"code","source":["A=np.block([np.ones((3,3)),np.zeros((3,3))])\n","(A.T@A)[1]"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"ZR5vWan4hPpI","executionInfo":{"status":"ok","timestamp":1769112455799,"user_tz":-60,"elapsed":46,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"b4d24393-021c-4a5a-d8ca-3488e409b73a"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([3., 3., 3., 0., 0., 0.])"]},"metadata":{},"execution_count":2}]},{"cell_type":"code","source":["x=y=np.linspace(-10,10,40)\n","X,Y=np.meshgrid(x,y)\n","ax=plt.axes(projection='3d')\n","ax.scatter(X,Y)\n","# ax.draw_artist(True)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":432},"id":"5LyaKYXdUUGo","executionInfo":{"status":"ok","timestamp":1769114372825,"user_tz":-60,"elapsed":1014,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"d0a84872-254b-41ec-c4e0-5c34557865a8"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x7db29c330320>"]},"metadata":{},"execution_count":19},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["import numpy as np\n","import matplotlib.pyplot as plt\n","from matplotlib.animation import FuncAnimation\n","\n","fig, ax = plt.subplots()\n","xdata, ydata = [], []\n","ln, = ax.plot([], [], 'ro')\n","\n","def init():\n"," ax.set_xlim(0, 2*np.pi)\n"," ax.set_ylim(-1, 1)\n"," return ln,\n","\n","def update(frame):\n"," xdata.append(frame)\n"," ydata.append(np.sin(frame))\n"," ln.set_data(xdata, ydata)\n"," return ln,\n","\n","ani = FuncAnimation(fig, update, frames=np.linspace(0, 2*np.pi, 128),\n"," init_func=init, blit=True)\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":435},"id":"YeRJlC4md8mf","executionInfo":{"status":"ok","timestamp":1769114971814,"user_tz":-60,"elapsed":148,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"0e4136fe-9e61-406f-ff46-a2002213798c"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["x=np.linspace(1,2,100)\n","y=x**2\n","data=np.array([[\"axes[0]\",\"cbook\",\"typing\"]])\n","fig,ax=plt.subplots(2,1)\n","ax[0].set_title('Mon graphe')\n","ax[0].legend()\n","ax[0].add_patch(pat.Circle((2,4),.1))\n","ax[0].text(1,2,\"Bonjour\\nTout le monde\",alpha=.2)\n","ax[0].set_xlim((0,3))\n","ax[1].table(cellText=data)\n","ax[0].set_ylim((1,5))\n","ax[0].plot(x,y)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":523},"id":"0rQ9Gf9AnE79","executionInfo":{"status":"ok","timestamp":1769121490576,"user_tz":-60,"elapsed":328,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"3a2c2227-2197-424f-cf84-17dd50eb711a"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stderr","text":["/tmp/ipython-input-3264964202.py:6: UserWarning: No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"," ax[0].legend()\n"]},{"output_type":"execute_result","data":{"text/plain":["[<matplotlib.lines.Line2D at 0x7db287e0eab0>]"]},"metadata":{},"execution_count":53},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 2 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\n"},"metadata":{}}]},{"cell_type":"code","source":["import numpy as np\n","\n","import matplotlib\n","\n","matplotlib.use(\"Agg\")\n","import matplotlib.pyplot as plt\n","\n","from matplotlib.animation import FFMpegWriter\n","\n","# Fixing random state for reproducibility\n","np.random.seed(19680801)\n","\n","\n","metadata = dict(title='Movie Test', artist='Matplotlib',\n"," comment='Movie support!')\n","writer = FFMpegWriter(fps=15, metadata=metadata)\n","\n","fig = plt.figure()\n","l, = plt.plot([], [], 'k-o')\n","\n","plt.xlim(-5, 5)\n","plt.ylim(-5, 5)\n","\n","x0, y0 = 0, 0\n","\n","with writer.saving(fig, \"writer_test.mp4\", 100):\n"," for i in range(100):\n"," x0 += 0.1 * np.random.randn()\n"," y0 += 0.1 * np.random.randn()\n"," l.set_data([x0], [y0])\n"," writer.grab_frame()"],"metadata":{"id":"QJBKg58o4PwL"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["import matplotlib.pyplot as plt\n","import numpy as np\n","from numpy import cos, sin\n","\n","import matplotlib.animation as animation\n","\n","G = 9.8 # acceleration due to gravity, in m/s^2\n","L1 = 1.0 # length of pendulum 1 in m\n","L2 = 1.0 # length of pendulum 2 in m\n","L = L1 + L2 # maximal length of the combined pendulum\n","M1 = 1.0 # mass of pendulum 1 in kg\n","M2 = 1.0 # mass of pendulum 2 in kg\n","t_stop = 2.5 # how many seconds to simulate\n","history_len = 500 # how many trajectory points to display\n","\n","\n","def derivs(t, state):\n"," dydx = np.zeros_like(state)\n","\n"," dydx[0] = state[1]\n","\n"," delta = state[2] - state[0]\n"," den1 = (M1+M2) * L1 - M2 * L1 * cos(delta) * cos(delta)\n"," dydx[1] = ((M2 * L1 * state[1] * state[1] * sin(delta) * cos(delta)\n"," + M2 * G * sin(state[2]) * cos(delta)\n"," + M2 * L2 * state[3] * state[3] * sin(delta)\n"," - (M1+M2) * G * sin(state[0]))\n"," / den1)\n","\n"," dydx[2] = state[3]\n","\n"," den2 = (L2/L1) * den1\n"," dydx[3] = ((- M2 * L2 * state[3] * state[3] * sin(delta) * cos(delta)\n"," + (M1+M2) * G * sin(state[0]) * cos(delta)\n"," - (M1+M2) * L1 * state[1] * state[1] * sin(delta)\n"," - (M1+M2) * G * sin(state[2]))\n"," / den2)\n","\n"," return dydx\n","\n","# create a time array from 0..t_stop sampled at 0.02 second steps\n","dt = 0.01\n","t = np.arange(0, t_stop, dt)\n","\n","# th1 and th2 are the initial angles (degrees)\n","# w10 and w20 are the initial angular velocities (degrees per second)\n","th1 = 120.0\n","w1 = 0.0\n","th2 = -10.0\n","w2 = 0.0\n","\n","# initial state\n","state = np.radians([th1, w1, th2, w2])\n","\n","# integrate the ODE using Euler's method\n","y = np.empty((len(t), 4))\n","y[0] = state\n","for i in range(1, len(t)):\n"," y[i] = y[i - 1] + derivs(t[i - 1], y[i - 1]) * dt\n","\n","# A more accurate estimate could be obtained e.g. using scipy:\n","#\n","# y = scipy.integrate.solve_ivp(derivs, t[[0, -1]], state, t_eval=t).y.T\n","\n","x1 = L1*sin(y[:, 0])\n","y1 = -L1*cos(y[:, 0])\n","\n","x2 = L2*sin(y[:, 2]) + x1\n","y2 = -L2*cos(y[:, 2]) + y1\n","\n","fig = plt.figure(figsize=(5, 4))\n","ax = fig.add_subplot(autoscale_on=False, xlim=(-L, L), ylim=(-L, 1.))\n","ax.set_aspect('equal')\n","ax.grid()\n","\n","line, = ax.plot([], [], 'o-', lw=2)\n","trace, = ax.plot([], [], '.-', lw=1, ms=2)\n","time_template = 'time = %.1fs'\n","time_text = ax.text(0.05, 0.9, '', transform=ax.transAxes)\n","\n","\n","def animate(i):\n"," thisx = [0, x1[i], x2[i]]\n"," thisy = [0, y1[i], y2[i]]\n","\n"," history_x = x2[:i]\n"," history_y = y2[:i]\n","\n"," line.set_data(thisx, thisy)\n"," trace.set_data(history_x, history_y)\n"," time_text.set_text(time_template % (i*dt))\n"," return line, trace, time_text\n","\n","\n","ani = animation.FuncAnimation(\n"," fig, animate, len(y), interval=dt*1000, blit=True)\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":336},"id":"V0K39VaKwgjB","executionInfo":{"status":"ok","timestamp":1769298921469,"user_tz":-60,"elapsed":217,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"1d305469-5323-454f-d297-1ab5a09f39d1"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 500x400 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["import numpy as np\n","import matplotlib.pyplot as plt\n","from matplotlib import animation\n","from IPython.display import HTML\n","\n","# Constantes physiques\n","G = 9.8\n","L1 = 1.0\n","L2 = 1.0\n","L = L1 + L2\n","M1 = 1.0\n","M2 = 1.0\n","t_stop = 10.0 # Augmenté pour voir plus de mouvement\n","history_len = 500\n","\n","def derivs(t, state):\n"," \"\"\"Calcul des dérivées pour le double pendule\"\"\"\n"," dydx = np.zeros_like(state)\n","\n"," # Extraction des variables\n"," theta1, omega1, theta2, omega2 = state\n"," delta = theta2 - theta1\n","\n"," # Dénominateurs communs\n"," den1 = (M1 + M2) * L1 - M2 * L1 * np.cos(delta)**2\n","\n"," # Équations pour theta1 (premier pendule)\n"," dydx[0] = omega1\n","\n"," num1 = (M2 * L1 * omega1**2 * np.sin(delta) * np.cos(delta) +\n"," M2 * G * np.sin(theta2) * np.cos(delta) +\n"," M2 * L2 * omega2**2 * np.sin(delta) -\n"," (M1 + M2) * G * np.sin(theta1))\n"," dydx[1] = num1 / den1\n","\n"," # Équations pour theta2 (second pendule)\n"," dydx[2] = omega2\n","\n"," num2 = (-M2 * L2 * omega2**2 * np.sin(delta) * np.cos(delta) +\n"," (M1 + M2) * G * np.sin(theta1) * np.cos(delta) -\n"," (M1 + M2) * L1 * omega1**2 * np.sin(delta) -\n"," (M1 + M2) * G * np.sin(theta2))\n"," dydx[3] = num2 / (L2/L1 * den1)\n","\n"," return dydx\n","\n","# Conditions initiales\n","th1 = 120.0\n","w1 = 0.0\n","th2 = -10.0\n","w2 = 0.0\n","\n","# Conversion en radians et création de l'état initial\n","state = np.radians([th1, w1, th2, w2])\n","\n","# Intégration numérique avec méthode d'Euler améliorée\n","dt = 0.01\n","t = np.arange(0, t_stop, dt)\n","y = np.zeros((len(t), 4))\n","y[0] = state\n","\n","for i in range(1, len(t)):\n"," k1 = derivs(t[i-1], y[i-1])\n"," k2 = derivs(t[i-1] + dt/2, y[i-1] + dt/2 * k1)\n"," y[i] = y[i-1] + dt * k2 # Méthode Runge-Kutta d'ordre 2\n","\n","# Calcul des positions\n","x1 = L1 * np.sin(y[:, 0])\n","y1 = -L1 * np.cos(y[:, 0])\n","\n","x2 = L2 * np.sin(y[:, 2]) + x1\n","y2 = -L2 * np.cos(y[:, 2]) + y1\n","\n","# Création de la figure\n","fig = plt.figure(figsize=(10, 8))\n","ax = fig.add_subplot(autoscale_on=False, xlim=(-L, L), ylim=(-L, 1))\n","ax.set_aspect('equal')\n","ax.grid()\n","ax.set_title('Animation du Double Pendule', fontsize=16, pad=20)\n","ax.set_xlabel('Position x (m)', fontsize=12)\n","ax.set_ylabel('Position y (m)', fontsize=12)\n","\n","# Éléments de l'animation\n","line, = ax.plot([], [], 'o-', lw=2, color='blue', markersize=10)\n","trace, = ax.plot([], [], '-', lw=1, color='red', alpha=0.6)\n","mass1 = ax.plot([], [], 'o', markersize=15, color='blue', alpha=0.8)[0]\n","mass2 = ax.plot([], [], 'o', markersize=15, color='red', alpha=0.8)[0]\n","\n","time_template = 'Temps = %.1f s'\n","time_text = ax.text(0.02, 0.95, '', transform=ax.transAxes, fontsize=14,\n"," bbox=dict(boxstyle=\"round,pad=0.3\", facecolor=\"white\", alpha=0.8))\n","\n","energy_template = 'Énergie = %.2f J'\n","energy_text = ax.text(0.02, 0.88, '', transform=ax.transAxes, fontsize=12,\n"," bbox=dict(boxstyle=\"round,pad=0.3\", facecolor=\"white\", alpha=0.8))\n","\n","def animate(i):\n"," \"\"\"Fonction d'animation\"\"\"\n"," # Positions actuelles\n"," thisx = [0, x1[i], x2[i]]\n"," thisy = [0, y1[i], y2[i]]\n","\n"," # Historique de la trajectoire\n"," start_idx = max(0, i - history_len)\n"," history_x = x2[start_idx:i + 1]\n"," history_y = y2[start_idx:i + 1]\n","\n"," # Mise à jour des données\n"," line.set_data(thisx, thisy)\n"," trace.set_data(history_x, history_y)\n"," mass1.set_data([x1[i]], [y1[i]])\n"," mass2.set_data([x2[i]], [y2[i]])\n","\n"," # Calcul de l'énergie\n"," theta1, omega1, theta2, omega2 = y[i]\n"," # Énergie potentielle\n"," Ep = -M1 * G * L1 * np.cos(theta1) - M2 * G * (L1 * np.cos(theta1) + L2 * np.cos(theta2))\n"," # Énergie cinétique\n"," v1 = L1 * omega1\n"," v2_sq = (L1*omega1)**2 + (L2*omega2)**2 + 2*L1*L2*omega1*omega2*np.cos(theta1-theta2)\n"," Ek = 0.5 * M1 * v1**2 + 0.5 * M2 * v2_sq\n"," total_energy = Ep + Ek\n","\n"," # Mise à jour du texte\n"," time_text.set_text(time_template % (i * dt))\n"," energy_text.set_text(energy_template % total_energy)\n","\n"," return line, trace, mass1, mass2, time_text, energy_text\n","\n","# Création de l'animation\n","ani = animation.FuncAnimation(\n"," fig, animate, frames=len(y),\n"," interval=dt * 1000, blit=True, repeat=True\n",")\n","\n","# Sauvegarde au format HTML\n","html_output = ani.to_html5_video()\n","\n","# Création d'un fichier HTML complet\n","html_content = f'''\n","<!DOCTYPE html>\n","<html>\n","<head>\n"," <title>Animation du Double Pendule</title>\n"," <style>\n"," body {{\n"," font-family: Arial, sans-serif;\n"," margin: 40px;\n"," background-color: #f5f5f5;\n"," }}\n"," .container {{\n"," max-width: 1000px;\n"," margin: 0 auto;\n"," background-color: white;\n"," padding: 20px;\n"," border-radius: 10px;\n"," box-shadow: 0 0 10px rgba(0,0,0,0.1);\n"," }}\n"," h1 {{\n"," color: #333;\n"," text-align: center;\n"," }}\n"," .video-container {{\n"," text-align: center;\n"," margin: 20px 0;\n"," }}\n"," .info {{\n"," background-color: #f0f8ff;\n"," padding: 15px;\n"," border-radius: 5px;\n"," margin-top: 20px;\n"," }}\n"," .params {{\n"," display: grid;\n"," grid-template-columns: repeat(2, 1fr);\n"," gap: 10px;\n"," margin-top: 20px;\n"," }}\n"," .param-item {{\n"," padding: 5px;\n"," background-color: #e8f4f8;\n"," border-radius: 3px;\n"," }}\n"," </style>\n","</head>\n","<body>\n"," <div class=\"container\">\n"," <h1>Animation du Double Pendule Chaotique</h1>\n","\n"," <div class=\"video-container\">\n"," {html_output}\n"," </div>\n","\n"," <div class=\"info\">\n"," <h3>Paramètres utilisés :</h3>\n"," <div class=\"params\">\n"," <div class=\"param-item\">Longueur premier pendule (L1): {L1} m</div>\n"," <div class=\"param-item\">Longueur second pendule (L2): {L2} m</div>\n"," <div class=\"param-item\">Masse première (M1): {M1} kg</div>\n"," <div class=\"param-item\">Masse seconde (M2): {M2} kg</div>\n"," <div class=\"param-item\">Accélération gravitationnelle (g): {G} m/s²</div>\n"," <div class=\"param-item\">Durée de simulation: {t_stop} s</div>\n"," <div class=\"param-item\">Angle initial θ₁: {th1}°</div>\n"," <div class=\"param-item\">Angle initial θ₂: {th2}°</div>\n"," </div>\n","\n"," <h3>Description :</h3>\n"," <p>Cette animation montre le mouvement chaotique d'un double pendule.\n"," Le système est sensible aux conditions initiales - de petites différences\n"," dans les angles initiaux peuvent conduire à des trajectoires très différentes.</p>\n","\n"," <h3>Légende :</h3>\n"," <ul>\n"," <li>● Points bleus : Masse du premier pendule</li>\n"," <li>● Points rouges : Masse du second pendule</li>\n"," <li>━━ Ligne rouge : Trajectoire de la masse inférieure</li>\n"," <li>━━ Lignes bleues : Tiges rigides des pendules</li>\n"," </ul>\n"," </div>\n"," </div>\n","</body>\n","</html>\n","'''\n","\n","# Sauvegarde dans un fichier\n","with open('double_pendulum_animation.html', 'w', encoding='utf-8') as f:\n"," f.write(html_content)\n","\n","print(\"Animation créée avec succès !\")\n","print(\"Fichier sauvegardé : 'double_pendulum_animation.html'\")\n","print(\"Ouvrez ce fichier dans votre navigateur pour voir l'animation.\")\n","\n","# Pour afficher directement dans le notebook Jupyter, décommentez la ligne suivante :\n","# HTML(html_output)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":760},"id":"skeeI0bmzazQ","executionInfo":{"status":"ok","timestamp":1769177672108,"user_tz":-60,"elapsed":101985,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"66ee0a00-3b06-4936-852d-8519f987e396"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Animation créée avec succès !\n","Fichier sauvegardé : 'double_pendulum_animation.html'\n","Ouvrez ce fichier dans votre navigateur pour voir l'animation.\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 1000x800 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["from colab_ssh import launch_ssh_cloudflared\n","# Choisissez un mot de passe simple ici (ex: \"azerty\")\n","launch_ssh_cloudflared(\"tongue\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":220},"id":"JivssJtF2_S2","executionInfo":{"status":"ok","timestamp":1769177570125,"user_tz":-60,"elapsed":30349,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"c3fa52df-779c-4ea0-bac6-4ac07f90cb8a"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<IPython.core.display.HTML object>"],"text/html":["<style>\n","*{\n","\toutline:none;\n","}\n","code{\n","\tdisplay:inline-block;\n","\tpadding:5px 10px;\n","\tbackground: #444;\n","\tborder-radius: 4px;\n","\twhite-space: pre-wrap;\n","\tposition:relative;\n","\tcolor:white;\n","}\n",".copy-code-button{\n","\tfloat:right;\n","\tbackground:#333;\n","\tcolor:white;\n","\tborder: none;\n","\tmargin: 0 0 0 10px;\n","\tcursor: pointer;\n","}\n","p, li{\n","\tmax-width:700px;\n","}\n",".choices{\n","\tdisplay:flex;\n","\tflex: 1 0 auto;\n","}\n",".choice-section{\n","\tborder:solid 1px #555;\n","\tborder-radius: 4px;\n","\tmin-width:300px;\n","\tmargin: 10px 15px 0 0;\n","\tpadding: 0 15px 15px 15px ;\n","}\n",".button{\n","\tpadding: 10px 15px;\n","\tbackground:#333;\n","\tborder-radius: 4px;\n","\tborder:solid 1px #555;\n","\tcolor:white;\n","\tfont-weight:bold;\n","\tcursor:pointer;\n","}\n",".pill{\n","\tpadding:2px 4px;\n","\tborder-radius: 100px;\n","\tbackground-color:#e65858;\n","\tfont-size:12px;\n","\tfont-weight:bold;\n","\tmargin: 0 15px;\n","\tcolor:white;\n","}\n","</style>\n","<details class=\"choice-section\">\n","\t<summary style=\"cursor:pointer\">\n","\t\t<h3 style=\"display:inline-block;margin-top:15px\">⚙️ Client machine configuration<span class=\"pill\">Required</span></h3>\n","\t</summary>\n","\t<p>Don't worry, you only have to do this <b>once per client machine</b>.</p>\n","\t<ol>\n","\t\t<li>Download <a href=\"https://developers.cloudflare.com/argo-tunnel/getting-started/installation\">Cloudflared (Argo Tunnel)</a>, then copy the absolute path of the cloudflare binary</li>\n","\t\t<li>Now, you have to append the following to your SSH config file (usually under ~/.ssh/config), and make sure you replace the placeholder with the path you copied in Step 1:</li>\n","\t</ol>\n","\t<code>Host *.trycloudflare.com\n","\tHostName %h\n","\tUser root\n","\tPort 22\n","\tProxyCommand <PUT_THE_ABSOLUTE_CLOUDFLARE_PATH_HERE> access ssh --hostname %h\n","\t</code>\n","</details>\n","<div class=\"choices\">\n","\t<div class=\"choice-section\">\n","\t\t<h4>SSH Terminal</h4>\n","\t\t<p>To connect using your terminal, type this command:</p>\n","\t\t<code>ssh giant-decision-town-wholesale.trycloudflare.com</code>\n","\t</div>\n","\t<div class=\"choice-section\">\n","\t\t<h4>VSCode Remote SSH</h4>\n","\t\t<p>You can also connect with VSCode Remote SSH (Ctrl+Shift+P and type \"Connect to Host...\"). Then, paste the following hostname in the opened command palette:</p>\n","\t\t<code>giant-decision-town-wholesale.trycloudflare.com</code>\n","\t</div>\n","</div>\n","\n","<script>\n","// Copy any string\n","function fallbackCopyTextToClipboard(text) {\n"," var textArea = document.createElement(\"textarea\");\n"," textArea.value = text;\n"," \n"," // Avoid scrolling to bottom\n"," textArea.style.top = \"0\";\n"," textArea.style.left = \"0\";\n"," textArea.style.position = \"fixed\";\n","\n"," document.body.appendChild(textArea);\n"," textArea.focus();\n"," textArea.select();\n","\n"," try {\n"," var successful = document.execCommand('copy');\n"," var msg = successful ? 'successful' : 'unsuccessful';\n"," console.log('Fallback: Copying text command was ' + msg);\n"," } catch (err) {\n"," console.error('Fallback: Oops, unable to copy', err);\n"," }\n","\n"," document.body.removeChild(textArea);\n","}\n","\n","// Show the copy button with every code tag\n","document.querySelectorAll('code').forEach(function (codeBlock) {\n","\tconst codeToCopy= codeBlock.innerText;\n","\tvar pre = document.createElement('pre');\n","\tpre.innerText = codeToCopy;\n"," var button = document.createElement('button');\n"," button.className = 'copy-code-button';\n"," button.type = 'button';\n"," button.innerText = 'Copy';\n","\tbutton.onclick = function(){\n","\t\tfallbackCopyTextToClipboard(codeToCopy);\n","\t\tbutton.innerText = 'Copied'\n","\t\tsetTimeout(()=>{\n","\t\t\tbutton.innerText = 'Copy'\n","\t\t},2000)\n","\t}\n","\tcodeBlock.children = pre;\n","\tcodeBlock.prepend(button)\n","});\n","</script>\n"]},"metadata":{}}]},{"cell_type":"code","source":["! pip install colab_ssh"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"ma_26VIY3C9J","executionInfo":{"status":"ok","timestamp":1769177539765,"user_tz":-60,"elapsed":5369,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"dee32132-4b01-42eb-cefd-8dafe58e888a"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Collecting colab_ssh\n"," Downloading colab_ssh-0.3.27-py3-none-any.whl.metadata (7.7 kB)\n","Downloading colab_ssh-0.3.27-py3-none-any.whl (26 kB)\n","Installing collected packages: colab_ssh\n","Successfully installed colab_ssh-0.3.27\n"]}]},{"cell_type":"code","source":["!./cloudflared tunnel create 1b199d88b4e2df32d59d3c3de278bf0f\n","#(Note the generated tunnel ID)\n","!cat > config.yml <<EOF\n","tunnel: 00cf1e48-cb46-4136-9860-38412cea8324\n","ingress:\n"," - hostname: desperate-sunny-broke-edge.trycloudflare.com\n"," service: ssh://localhost:22\n"," - service: http_status:404\n","EOF\n","!./cloudflared tunnel route dns 00cf1e48-cb46-4136-9860-38412cea8324 desperate-sunny-broke-edge.trycloudflare.com\n","!./cloudflared tunnel run --config config.yml &\n","!sudo service ssh start"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":105},"id":"no_2P3znKVlb","executionInfo":{"status":"error","timestamp":1769177170307,"user_tz":-60,"elapsed":20,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"a8556a85-b8de-4638-de60-2b4365c898d0"},"execution_count":null,"outputs":[{"output_type":"error","ename":"SyntaxError","evalue":"invalid decimal literal (ipython-input-280573784.py, line 4)","traceback":["\u001b[0;36m File \u001b[0;32m\"/tmp/ipython-input-280573784.py\"\u001b[0;36m, line \u001b[0;32m4\u001b[0m\n\u001b[0;31m tunnel: 00cf1e48-cb46-4136-9860-38412cea8324\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid decimal literal\n"]}]},{"cell_type":"code","source":["!./cloudflared tunnel route dns 00cf1e48-cb46-4136-9860-38412cea8324 desperate-sunny-broke-edge.trycloudflare.com"],"metadata":{"id":"LlwZWWbxLmXj","executionInfo":{"status":"ok","timestamp":1769177672307,"user_tz":-60,"elapsed":198,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"9cabbc2e-d6cb-432c-a4dd-1bec2fe0a1d9","colab":{"base_uri":"https://localhost:8080/"}},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["\u001b[90m2026-01-23T14:14:32Z\u001b[0m \u001b[1m\u001b[31mERR\u001b[0m\u001b[0m Cannot determine default origin certificate path. No file cert.pem in [~/.cloudflared ~/.cloudflare-warp ~/cloudflare-warp /etc/cloudflared /usr/local/etc/cloudflared]. You need to specify the origin certificate path by specifying the origincert option in the configuration file, or set TUNNEL_ORIGIN_CERT environment variable \u001b[36moriginCertPath=\u001b[0m\n","Error locating origin cert: client didn't specify origincert path\n"]}]},{"cell_type":"markdown","source":[],"metadata":{"id":"ta90584VBQ9i"}},{"cell_type":"code","source":["import pygame\n","import sys\n","\n","# Initialisation de Pygame\n","pygame.init()\n","\n","# Dimensions de la fenêtre\n","WIDTH, HEIGHT = 800, 600\n","screen = pygame.display.set_mode((WIDTH, HEIGHT))\n","pygame.display.set_caption(\"Pygame Simple - Déplacez le carré\")\n","\n","# Couleurs\n","WHITE = (255, 255, 255)\n","RED = (255, 0, 0)\n","BLUE = (0, 0, 255)\n","\n","# Position et taille du carré\n","player_size = 50\n","player_x = WIDTH // 2 - player_size // 2\n","player_y = HEIGHT // 2 - player_size // 2\n","player_speed = 5\n","\n","# Horloge pour contrôler le FPS\n","clock = pygame.time.Clock()\n","FPS = 60\n","\n","# Boucle principale du jeu\n","running = True\n","while running:\n"," # Gestion des événements\n"," for event in pygame.event.get():\n"," if event.type == pygame.QUIT:\n"," running = False\n"," elif event.type == pygame.KEYDOWN:\n"," if event.key == pygame.K_ESCAPE:\n"," running = False\n","\n"," # Récupération des touches pressées\n"," keys = pygame.key.get_pressed()\n","\n"," # Déplacement du carré\n"," if keys[pygame.K_LEFT] and player_x > 0:\n"," player_x -= player_speed\n"," if keys[pygame.K_RIGHT] and player_x < WIDTH - player_size:\n"," player_x += player_speed\n"," if keys[pygame.K_UP] and player_y > 0:\n"," player_y -= player_speed\n"," if keys[pygame.K_DOWN] and player_y < HEIGHT - player_size:\n"," player_y += player_speed\n","\n"," # Effacer l'écran\n"," screen.fill(WHITE)\n","\n"," # Dessiner le carré\n"," pygame.draw.rect(screen, RED, (player_x, player_y, player_size, player_size))\n","\n"," # Dessiner un texte d'instructions\n"," font = pygame.font.SysFont(None, 36)\n"," instructions = font.render(\"Utilisez les flèches pour déplacer le carré\", True, BLUE)\n"," screen.blit(instructions, (10, 10))\n","\n"," # Mettre à jour l'affichage\n"," pygame.display.flip()\n","\n"," # Contrôler le FPS\n"," clock.tick(FPS)\n","\n","# Quitter Pygame\n","pygame.quit()\n","sys.exit()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":258},"id":"QuDvtLbEbywl","executionInfo":{"status":"error","timestamp":1769300350453,"user_tz":-60,"elapsed":1888,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"9621b740-1975-4b4c-a6d0-2239d3074df5"},"execution_count":null,"outputs":[{"output_type":"error","ename":"KeyboardInterrupt","evalue":"","traceback":["\u001b[0;31m---------------------------------------------------------------------------\u001b[0m","\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)","\u001b[0;32m/tmp/ipython-input-1643018971.py\u001b[0m in \u001b[0;36m<cell line: 0>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 64\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 65\u001b[0m \u001b[0;31m# Contrôler le FPS\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 66\u001b[0;31m \u001b[0mclock\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtick\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mFPS\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 67\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 68\u001b[0m \u001b[0;31m# Quitter Pygame\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n","\u001b[0;31mKeyboardInterrupt\u001b[0m: "]}]},{"cell_type":"code","source":["# Installation des dépendances pour Colab\n","!pip install scipy matplotlib numpy\n","\n","import importlib\n","import sys\n","import os\n","from google.colab import files\n","\n","# Upload des fichiers si nécessaire\n","print(\"Veuillez uploader les fichiers versDV.py et deviatoire.py\")\n","uploaded = files.upload() # Décommentez cette ligne pour uploader les fichiers\n","\n","# Ajout du répertoire courant au path Python\n","sys.path.append('.')\n","\n","# Import des modules\n","try:\n"," import versDV as dv\n"," import deviatoire as dev\n"," print(\"Modules importés avec succès!\")\n","except ImportError as e:\n"," print(f\"Erreur d'import: {e}\")\n"," print(\"Assurez-vous d'avoir uploadé les fichiers versDV.py et deviatoire.py\")\n","\n","from math import pi, sin, cos\n","import numpy as np\n","import matplotlib.pyplot as plt\n","importlib.reload(dv)\n","importlib.reload(dev)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":762},"id":"XEjA7E2JhOnF","executionInfo":{"status":"error","timestamp":1769300450590,"user_tz":-60,"elapsed":86361,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"6e2025e8-4559-4520-fda9-53ccd3aacb3e"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Requirement already satisfied: scipy in /usr/local/lib/python3.12/dist-packages (1.16.3)\n","Requirement already satisfied: matplotlib in /usr/local/lib/python3.12/dist-packages (3.10.0)\n","Requirement already satisfied: numpy in /usr/local/lib/python3.12/dist-packages (2.0.2)\n","Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.12/dist-packages (from matplotlib) (1.3.3)\n","Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.12/dist-packages (from matplotlib) (0.12.1)\n","Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.12/dist-packages (from matplotlib) (4.61.1)\n","Requirement already satisfied: kiwisolver>=1.3.1 in /usr/local/lib/python3.12/dist-packages (from matplotlib) (1.4.9)\n","Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.12/dist-packages (from matplotlib) (25.0)\n","Requirement already satisfied: pillow>=8 in /usr/local/lib/python3.12/dist-packages (from matplotlib) (11.3.0)\n","Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.12/dist-packages (from matplotlib) (3.3.1)\n","Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.12/dist-packages (from matplotlib) (2.9.0.post0)\n","Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.12/dist-packages (from python-dateutil>=2.7->matplotlib) (1.17.0)\n","Veuillez uploader les fichiers versDV.py et deviatoire.py\n"]},{"output_type":"display_data","data":{"text/plain":["<IPython.core.display.HTML object>"],"text/html":["\n"," <input type=\"file\" id=\"files-0b46b9f0-01d0-46ca-a9e6-3645d57651a1\" name=\"files[]\" multiple disabled\n"," style=\"border:none\" />\n"," <output id=\"result-0b46b9f0-01d0-46ca-a9e6-3645d57651a1\">\n"," Upload widget is only available when the cell has been executed in the\n"," current browser session. Please rerun this cell to enable.\n"," </output>\n"," <script>// Copyright 2017 Google LLC\n","//\n","// Licensed under the Apache License, Version 2.0 (the \"License\");\n","// you may not use this file except in compliance with the License.\n","// You may obtain a copy of the License at\n","//\n","// http://www.apache.org/licenses/LICENSE-2.0\n","//\n","// Unless required by applicable law or agreed to in writing, software\n","// distributed under the License is distributed on an \"AS IS\" BASIS,\n","// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n","// See the License for the specific language governing permissions and\n","// limitations under the License.\n","\n","/**\n"," * @fileoverview Helpers for google.colab Python module.\n"," */\n","(function(scope) {\n","function span(text, styleAttributes = {}) {\n"," const element = document.createElement('span');\n"," element.textContent = text;\n"," for (const key of Object.keys(styleAttributes)) {\n"," element.style[key] = styleAttributes[key];\n"," }\n"," return element;\n","}\n","\n","// Max number of bytes which will be uploaded at a time.\n","const MAX_PAYLOAD_SIZE = 100 * 1024;\n","\n","function _uploadFiles(inputId, outputId) {\n"," const steps = uploadFilesStep(inputId, outputId);\n"," const outputElement = document.getElementById(outputId);\n"," // Cache steps on the outputElement to make it available for the next call\n"," // to uploadFilesContinue from Python.\n"," outputElement.steps = steps;\n","\n"," return _uploadFilesContinue(outputId);\n","}\n","\n","// This is roughly an async generator (not supported in the browser yet),\n","// where there are multiple asynchronous steps and the Python side is going\n","// to poll for completion of each step.\n","// This uses a Promise to block the python side on completion of each step,\n","// then passes the result of the previous step as the input to the next step.\n","function _uploadFilesContinue(outputId) {\n"," const outputElement = document.getElementById(outputId);\n"," const steps = outputElement.steps;\n","\n"," const next = steps.next(outputElement.lastPromiseValue);\n"," return Promise.resolve(next.value.promise).then((value) => {\n"," // Cache the last promise value to make it available to the next\n"," // step of the generator.\n"," outputElement.lastPromiseValue = value;\n"," return next.value.response;\n"," });\n","}\n","\n","/**\n"," * Generator function which is called between each async step of the upload\n"," * process.\n"," * @param {string} inputId Element ID of the input file picker element.\n"," * @param {string} outputId Element ID of the output display.\n"," * @return {!Iterable<!Object>} Iterable of next steps.\n"," */\n","function* uploadFilesStep(inputId, outputId) {\n"," const inputElement = document.getElementById(inputId);\n"," inputElement.disabled = false;\n","\n"," const outputElement = document.getElementById(outputId);\n"," outputElement.innerHTML = '';\n","\n"," const pickedPromise = new Promise((resolve) => {\n"," inputElement.addEventListener('change', (e) => {\n"," resolve(e.target.files);\n"," });\n"," });\n","\n"," const cancel = document.createElement('button');\n"," inputElement.parentElement.appendChild(cancel);\n"," cancel.textContent = 'Cancel upload';\n"," const cancelPromise = new Promise((resolve) => {\n"," cancel.onclick = () => {\n"," resolve(null);\n"," };\n"," });\n","\n"," // Wait for the user to pick the files.\n"," const files = yield {\n"," promise: Promise.race([pickedPromise, cancelPromise]),\n"," response: {\n"," action: 'starting',\n"," }\n"," };\n","\n"," cancel.remove();\n","\n"," // Disable the input element since further picks are not allowed.\n"," inputElement.disabled = true;\n","\n"," if (!files) {\n"," return {\n"," response: {\n"," action: 'complete',\n"," }\n"," };\n"," }\n","\n"," for (const file of files) {\n"," const li = document.createElement('li');\n"," li.append(span(file.name, {fontWeight: 'bold'}));\n"," li.append(span(\n"," `(${file.type || 'n/a'}) - ${file.size} bytes, ` +\n"," `last modified: ${\n"," file.lastModifiedDate ? file.lastModifiedDate.toLocaleDateString() :\n"," 'n/a'} - `));\n"," const percent = span('0% done');\n"," li.appendChild(percent);\n","\n"," outputElement.appendChild(li);\n","\n"," const fileDataPromise = new Promise((resolve) => {\n"," const reader = new FileReader();\n"," reader.onload = (e) => {\n"," resolve(e.target.result);\n"," };\n"," reader.readAsArrayBuffer(file);\n"," });\n"," // Wait for the data to be ready.\n"," let fileData = yield {\n"," promise: fileDataPromise,\n"," response: {\n"," action: 'continue',\n"," }\n"," };\n","\n"," // Use a chunked sending to avoid message size limits. See b/62115660.\n"," let position = 0;\n"," do {\n"," const length = Math.min(fileData.byteLength - position, MAX_PAYLOAD_SIZE);\n"," const chunk = new Uint8Array(fileData, position, length);\n"," position += length;\n","\n"," const base64 = btoa(String.fromCharCode.apply(null, chunk));\n"," yield {\n"," response: {\n"," action: 'append',\n"," file: file.name,\n"," data: base64,\n"," },\n"," };\n","\n"," let percentDone = fileData.byteLength === 0 ?\n"," 100 :\n"," Math.round((position / fileData.byteLength) * 100);\n"," percent.textContent = `${percentDone}% done`;\n","\n"," } while (position < fileData.byteLength);\n"," }\n","\n"," // All done.\n"," yield {\n"," response: {\n"," action: 'complete',\n"," }\n"," };\n","}\n","\n","scope.google = scope.google || {};\n","scope.google.colab = scope.google.colab || {};\n","scope.google.colab._files = {\n"," _uploadFiles,\n"," _uploadFilesContinue,\n","};\n","})(self);\n","</script> "]},"metadata":{}},{"output_type":"error","ename":"KeyboardInterrupt","evalue":"","traceback":["\u001b[0;31m---------------------------------------------------------------------------\u001b[0m","\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)","\u001b[0;32m/tmp/ipython-input-4041823108.py\u001b[0m in \u001b[0;36m<cell line: 0>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0;31m# Upload des fichiers si nécessaire\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 10\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Veuillez uploader les fichiers versDV.py et deviatoire.py\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 11\u001b[0;31m \u001b[0muploaded\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfiles\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupload\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Décommentez cette ligne pour uploader les fichiers\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 12\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0;31m# Ajout du répertoire courant au path Python\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n","\u001b[0;32m/usr/local/lib/python3.12/dist-packages/google/colab/files.py\u001b[0m in \u001b[0;36mupload\u001b[0;34m(target_dir)\u001b[0m\n\u001b[1;32m 67\u001b[0m \"\"\"\n\u001b[1;32m 68\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 69\u001b[0;31m \u001b[0muploaded_files\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_upload_files\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmultiple\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 70\u001b[0m \u001b[0;31m# Mapping from original filename to filename as saved locally.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 71\u001b[0m \u001b[0mlocal_filenames\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n","\u001b[0;32m/usr/local/lib/python3.12/dist-packages/google/colab/files.py\u001b[0m in \u001b[0;36m_upload_files\u001b[0;34m(multiple)\u001b[0m\n\u001b[1;32m 159\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 160\u001b[0m \u001b[0;31m# First result is always an indication that the file picker has completed.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 161\u001b[0;31m result = _output.eval_js(\n\u001b[0m\u001b[1;32m 162\u001b[0m 'google.colab._files._uploadFiles(\"{input_id}\", \"{output_id}\")'.format(\n\u001b[1;32m 163\u001b[0m \u001b[0minput_id\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0minput_id\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moutput_id\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0moutput_id\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n","\u001b[0;32m/usr/local/lib/python3.12/dist-packages/google/colab/output/_js.py\u001b[0m in \u001b[0;36meval_js\u001b[0;34m(script, ignore_result, timeout_sec)\u001b[0m\n\u001b[1;32m 38\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mignore_result\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 39\u001b[0m \u001b[0;32mreturn\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 40\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0m_message\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_reply_from_input\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrequest_id\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtimeout_sec\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 41\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 42\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n","\u001b[0;32m/usr/local/lib/python3.12/dist-packages/google/colab/_message.py\u001b[0m in \u001b[0;36mread_reply_from_input\u001b[0;34m(message_id, timeout_sec)\u001b[0m\n\u001b[1;32m 94\u001b[0m \u001b[0mreply\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_read_next_input_message\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 95\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mreply\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0m_NOT_READY\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mreply\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdict\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 96\u001b[0;31m \u001b[0mtime\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msleep\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0.025\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 97\u001b[0m \u001b[0;32mcontinue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 98\u001b[0m if (\n","\u001b[0;31mKeyboardInterrupt\u001b[0m: "]}]},{"cell_type":"code","source":["# 1. Installer la bibliothèque\n","!pip install colab_ssh --upgrade\n","\n","# 2. Lancer le tunnel (Remplacez 'VOTRE_PASSWORD' par un mot de passe de votre choix)\n","from colab_ssh import launch_ssh\n","launch_ssh('tongue')"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":421},"id":"UbtSoRVKobCR","executionInfo":{"status":"error","timestamp":1769302292703,"user_tz":-60,"elapsed":27436,"user":{"displayName":"Tongue Kevin","userId":"13768078595560270101"}},"outputId":"66db28c8-0ef6-481c-9b89-2210f2768740"},"execution_count":2,"outputs":[{"output_type":"stream","name":"stdout","text":["Requirement already satisfied: colab_ssh in /usr/local/lib/python3.12/dist-packages (0.3.27)\n","Warning: Due to some issues with ngrok on Google Colab, reported in the issue https://github.com/WassimBenzarti/colab-ssh/issues/45, \n","we highly recommend that update your code by following this documentation https://github.com/WassimBenzarti/colab-ssh#getting-started\n"]},{"output_type":"error","ename":"FileNotFoundError","evalue":"[Errno 2] No such file or directory: './ngrok'","traceback":["\u001b[0;31m---------------------------------------------------------------------------\u001b[0m","\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)","\u001b[0;32m/tmp/ipython-input-3277085673.py\u001b[0m in \u001b[0;36m<cell line: 0>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;31m# 2. Lancer le tunnel (Remplacez 'VOTRE_PASSWORD' par un mot de passe de votre choix)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mcolab_ssh\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mlaunch_ssh\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mlaunch_ssh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'tongue'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m","\u001b[0;32m/usr/local/lib/python3.12/dist-packages/colab_ssh/launch_ssh.py\u001b[0m in \u001b[0;36mlaunch_ssh\u001b[0;34m(token, password, publish, verbose, region, remote_addr)\u001b[0m\n\u001b[1;32m 68\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 69\u001b[0m \u001b[0;31m# Create tunnel\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 70\u001b[0;31m proc = Popen(shlex.split(\n\u001b[0m\u001b[1;32m 71\u001b[0m './ngrok tcp --authtoken {} --region {} {} 22'.format(\n\u001b[1;32m 72\u001b[0m token, region, \" \".join(extra_params))\n","\u001b[0;32m/usr/lib/python3.12/subprocess.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, args, bufsize, executable, stdin, stdout, stderr, preexec_fn, close_fds, shell, cwd, env, universal_newlines, startupinfo, creationflags, restore_signals, start_new_session, pass_fds, user, group, extra_groups, encoding, errors, text, umask, pipesize, process_group)\u001b[0m\n\u001b[1;32m 1024\u001b[0m encoding=encoding, errors=errors)\n\u001b[1;32m 1025\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1026\u001b[0;31m self._execute_child(args, executable, preexec_fn, close_fds,\n\u001b[0m\u001b[1;32m 1027\u001b[0m \u001b[0mpass_fds\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcwd\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0menv\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1028\u001b[0m \u001b[0mstartupinfo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreationflags\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mshell\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n","\u001b[0;32m/usr/lib/python3.12/subprocess.py\u001b[0m in \u001b[0;36m_execute_child\u001b[0;34m(self, args, executable, preexec_fn, close_fds, pass_fds, cwd, env, startupinfo, creationflags, shell, p2cread, p2cwrite, c2pread, c2pwrite, errread, errwrite, restore_signals, gid, gids, uid, umask, start_new_session, process_group)\u001b[0m\n\u001b[1;32m 1953\u001b[0m \u001b[0merr_msg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstrerror\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merrno_num\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1954\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0merr_filename\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1955\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mchild_exception_type\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merrno_num\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0merr_msg\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0merr_filename\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1956\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1957\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mchild_exception_type\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merrno_num\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0merr_msg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n","\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: './ngrok'"]}]}]} |
Xet Storage Details
- Size:
- 300 kB
- Xet hash:
- 708a32871217012c9f041913b85d3281a9173072d775714ad090480607ab40de
·
Xet efficiently stores files, intelligently splitting them into unique chunks and accelerating uploads and downloads. More info.