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HcmV?d00001 diff --git a/ENTREGA.ipynb b/ENTREGA.ipynb index 89952e8..ea046e6 100644 --- a/ENTREGA.ipynb +++ b/ENTREGA.ipynb @@ -60,7 +60,7 @@ } ], "source": [ - "# Abrimos un archivo para mirar los datos\n", + "# Abrimos un archivo para mirar los datos y la estructura que tienen\n", "f = open(\"data/giants.txt\", \"r\")\n", "print(f.read(300))" ] @@ -79,7 +79,7 @@ } ], "source": [ - "# abrimos y guardamos los datos, excluyendo la primera fila (encabezados) con numpy\n", + "# abrimos y guardamos los datos, excluyendo la primera fila ya que es un encabezado\n", "giants = np.loadtxt('data/giants.txt', delimiter=' ',skiprows=1) \n", "supergiants = np.loadtxt('data/supergiants.txt', delimiter=' ',skiprows=1)\n", "dwarfs = np.loadtxt('data/dwarfs.csv', delimiter=',',skiprows=1)\n", @@ -88,7 +88,7 @@ "lum = data_final[0:, 0] # creamos la variable luminosidad\n", "temp = data_final[0:, 1] # creamos la variable temperatura\n", "rad = data_final[0:, 2] # creamos la variable radio\n", - "print(type(lum))\n" + "\n" ] }, { @@ -140,6 +140,7 @@ "plt.title(\"Diagrama Hertzsprung-Russell\")\n", "plt.xlabel(\"Temperatura(K)\")\n", "plt.ylabel(\"log(Luminosidad(Lsun))\")\n", + "# escribe los textos de acuerdo a la posición\n", "plt.text(0.6, 0.42, 'Main Sequence', transform=ax.transAxes)\n", "plt.text(0.2, 0.55, 'Main Sequence', transform=ax.transAxes)\n", "plt.text(0.7, 0.85, 'Red SuperGiants', transform=ax.transAxes)\n", @@ -154,12 +155,27 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Resolución ejercicio 2" + "### Ejercicio No. 2\n", + "\n", + "Después de tener un diseño de base para el ejercicio No. 1, en este ejercicio\n", + "se pide generar una animación, en la cual se reproduzca el miso gráfico de\n", + "antes pero las estrellas vayan apareciendo progresivamente" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Resolución ejercicio 2\n", + "\n", + "- Realizamos la animación con la función FuncAnimation de matplotlib.\n", + "- Generamos la función animate\n", + "- Realizamos la animación" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -171,7 +187,7 @@ }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] @@ -184,24 +200,19 @@ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from matplotlib.animation import FuncAnimation\n", - "plt.style.use('seaborn-pastel')\n", + "#plt.style.use('seaborn-pastel')\n", "\n", - "log_lum = np.log(lum)\n", "\n", - "fig = plt.figure()\n", - "#ax1 = plt.axes(xlim=(min(temp), max(temp)), ylim=(min(lum), max(lum)))\n", - "#line, = ax.scatter([], [])\n", - "fig.tight_layout()\n", + "log_lum = np.log(lum) # creamos una nueva variable, para facilitar la escritura\n", + "\n", + "fig = plt.figure() # definimos la figura\n", + "#fig.tight_layout()\n", "ax1 = plt.subplot(111, xlim=(min(temp), max(temp)), ylim=(min(log_lum), max(log_lum)))\n", "plt.title(\"Diagrama Hertzsprung-Russell\")\n", "plt.xlabel(\"Temperatura(K)\")\n", "plt.ylabel(\"log(Luminosidad(Lsun))\")\n", - "plt.text(0.5, 0.5, 'Main Sequence', transform=ax.transAxes)\n", - "plt.text(0.7, 0.85, 'Red SuperGiants', transform=ax.transAxes)\n", - "plt.text(0.2, 0.88, 'Blue Giants', transform=ax.transAxes)\n", - "plt.text(0.8, 0.70, 'Red Giants', transform=ax.transAxes)\n", - "plt.text(0.50, 0.18, 'White Dwarfs', transform=ax.transAxes)\n", "ax1.set_xlim(max(temp), min(temp))\n", + "plt.style.use('dark_background') # para cambiar el estilo del fondo\n", "scat = ax1.scatter(temp, log_lum, s=10*rad, c=temp_color, norm=matplotlib.colors.LogNorm(), \n", " edgecolors='none', alpha= 0.8)\n", " \n", @@ -212,18 +223,37 @@ " return scat,\n", "\n", "def animate(i):\n", + " '''Funcion que sirve para generar imagenes en función del orden de aparicion de las estrellas'''\n", " x = temp[0:i:1] \n", " y = log_lum[0:i:1] \n", - " #print(y)\n", - " #line.set_data(x, y)\n", + " if i > len(giants):\n", + " plt.text(1.0, 0.85, 'Red Giants', transform=ax.transAxes) \n", + " if i > (len(giants)+2): \n", + " plt.text(1., 1.1, 'Red SuperGiants', transform=ax.transAxes) \n", + " if i >(len(supergiants)+len(giants)):\n", + " plt.text(0.3, 1.1, 'Blue Giants', transform=ax.transAxes)\n", + " if i > (len(supergiants)+len(giants)+len(dwarfs)):\n", + " plt.text(0.60, 0.18, 'White Dwarfs', transform=ax.transAxes)\n", + " if i > (len(supergiants)+len(giants)+len(dwarfs)+40):\n", + " plt.text(0.5, 0.7, 'Main Sequence', transform=ax.transAxes)\n", " scat.set_offsets(np.c_[x,y])\n", " return scat,\n", "\n", + "\n", "anim = FuncAnimation(fig, animate, init_func=init,\n", - " frames=len(temp), interval=200, blit=True)\n", + " frames=len(temp), interval=400)# genera la animacion\n", "\n", "\n", - "anim.save('sine_wave.gif')\n" + "anim.save('ENTREGA.gif') # guarda la animacion\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Nota: \n", + "La ubicación del texto dentro de la imagen difiere entre la imagen que se presenta en el jupyter notebook, y la imagen guardada, esto solo sucede en el gif, por lo que en esta sección (animación) se presentan, algunos textos fuera de la imagen, pero en la imagen guardada se encuentran bien ubicados." ] }, { -- GitLab