diff --git a/ENTREGA.ipynb b/ENTREGA.ipynb index aa9f051f3ca12095332fd9fd182197dd72adf227..e5ffd49303eb1b87853feda994ccd2f11d4b8cec 100644 --- a/ENTREGA.ipynb +++ b/ENTREGA.ipynb @@ -29,6 +29,17 @@ "%matplotlib inline" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Resolución ejercicio 1\n", + "- Primero damos una revisión del tipo de datos que vamos a manejar y como estan distribuidos, esto lo hacemos imprimiendo una parte de los datos.\n", + "- Abrimos los archivos y guardamos en cada variable.\n", + "- Agrupamos todos los datos en 3 variables, luminosidad, temperatura, radio.\n", + "- Realizamos la gráfica con matplotlib\n" + ] + }, { "cell_type": "code", "execution_count": 2, @@ -39,68 +50,50 @@ "output_type": "stream", "text": [ "lum temp radius\n", - "304.2285727480961 3654.60109945958\n" + "304.2285727480961 3654.601099459581 145.4834741161055\n", + "58.8843655355589 3808.609875061861 66.64293840181843\n", + "9.246981739382225 3991.7516919319555 27.60343000307192\n", + "58.50594519500058 4164.818179799484 50.83296773697527\n", + "32.03317600852812 4425.7738830794915 33.290930956014336\n", + "\n" ] } ], "source": [ + "# Abrimos un archivo para mirar los datos\n", "f = open(\"data/giants.txt\", \"r\")\n", - "print(f.read(50))" + "print(f.read(300))" ] }, { "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "filestxt = [\"data/giants.txt\",\"data/supergiants.txt\"]\n", - "filescsv = [\"data/dwarfs.csv\", \"data/ms.csv\"]\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, + "execution_count": 43, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "<class 'numpy.ndarray'>\n" + ] + } + ], "source": [ - "giants = np.loadtxt('data/giants.txt', delimiter=' ',skiprows=1)\n", + "# abrimos y guardamos los datos, excluyendo la primera fila (encabezados) con numpy\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", "ms = np.loadtxt('data/ms.csv', delimiter=',',skiprows=1)\n", "data_final = np.concatenate((giants,supergiants,dwarfs,ms))\n", - "lum = data_final[0:, 0]\n", - "temp = data_final[0:, 1]\n", - "rad = data_final[0:, 2]\n", - "lumlog = math.log10(3)\n", - " \n" + "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" ] }, { "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "lum_giants = giants[0:, 0]\n", - "lum_supergiants = supergiants[0:, 0]\n", - "lum_dwarf = dwarfs[0:, 0]\n", - "lum_ms = ms[0:, 0]\n", - "\n", - "temp_giants = giants[0:, 1]\n", - "temp_supergiants = supergiants[0:, 1]\n", - "temp_dwarf = dwarfs[0:, 1]\n", - "temp_ms = ms[0:, 1]\n", - "\n", - "rad_giants = giants[0:, 2]\n", - "rad_supergiants = supergiants[0:, 2]\n", - "rad_dwarf = dwarfs[0:, 2]\n", - "rad_ms = ms[0:, 2]\n" - ] - }, - { - "cell_type": "code", - "execution_count": 34, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -112,21 +105,20 @@ } ], "source": [ - "print(plt.style.available)\n", - "\n", + "print(plt.style.available) # imprime los tipos de estilo existentes\n", "temp_color=(-temp+max(temp)) # para cambiar la escala y que los colores coincidan con los pedidos en la tarea" ] }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 14, "metadata": { "scrolled": true }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] @@ -139,35 +131,88 @@ "from matplotlib import cm\n", "import matplotlib.style\n", "import matplotlib as mpl\n", - "mpl.style.use('classic') # seleccion del estilo del gráfico\n", + "#mpl.style.use('classic') # seleccion del estilo del gráfico\n", "fig, ax = plt.subplots()\n", - "plt.scatter(temp, np.log(lum), s=10*rad, c=temp_color, norm=matplotlib.colors.LogNorm(), edgecolors='none')\n", + "plt.scatter(temp, np.log(lum), s=10*rad, c=temp_color, norm=matplotlib.colors.LogNorm(), \n", + " edgecolors='none', alpha= 0.8)\n", "ax.set_xlim(max(temp), min(temp)) # cambiar el orden del eje temp(X)\n", + "# La siguientes lineas son los textos dentro de la gráfica\n", "plt.title(\"Diagrama Hertzsprung-Russell\")\n", "plt.xlabel(\"Temperatura(K)\")\n", "plt.ylabel(\"log(Luminosidad(Lsun))\")\n", - "plt.text(0.5, 0.6, r'$\\sum_{i=0}^\\infty x_i$', fontsize=20)\n", - "plt.text(0.5, 0.5, 'matplotlib', horizontalalignment='center',verticalalignment='center', transform=ax.transAxes)\n", - "\n", - "ax.grid(False)\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", + "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", + "ax.grid(False) # para que no salga la cuadrÃcula\n", "plt.show()\n" ] }, { - "cell_type": "code", - "execution_count": 9, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "c=np.log" + "# Resolución ejercicio 2" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 106, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "MovieWriter ffmpeg unavailable; using Pillow instead.\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "from matplotlib.animation import FuncAnimation\n", + "plt.style.use('seaborn-pastel')\n", + "\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", + "ax1 = plt.subplot(111, xlim=(min(temp), max(temp)), ylim=(min(lum), max(lum)))\n", + "scat = ax1.scatter(x= lum, y=temp, c=temp, s=70)\n", + " \n", + " \n", + "\n", + "def init():\n", + " scat.set_offsets(np.c_[x,y]) \n", + " return scat,\n", + "\n", + "def animate(i):\n", + " x = temp[0:i:1] \n", + " y = lum[0:i:1] \n", + " #line.set_data(x, y)\n", + " scat.set_offsets(np.c_[x,y])\n", + " return scat,\n", + "\n", + "anim = FuncAnimation(fig, animate, init_func=init,\n", + " frames=10, interval=50, blit=True)\n", + "\n", + "\n", + "anim.save('sine_wave.gif')\n" + ] }, { "cell_type": "code",