{ "cells": [ { "cell_type": "markdown", "id": "2865fcd9-a857-4903-9994-8e7081aa5682", "metadata": {}, "source": [ "# E: *Widget* para `MatPlotLib` en `Jupyter-Lab`\n", "\n", "Con `MatPlotLib` hemos ido visualizando gráficas e imágenes. Sin embargo dicha biblioteca tal cual es un poco incómoda en `Jupyter-Lab` ya que ajustar el tamaño y escalas de las imágenes es un proceso un tanto tedioso. Existe un *widget* que nos va a facilitar mucho la visualización de datos en nuestros *notebooks*. Podemos instalarlo como:\n", "\n", "```\n", "> conda install -c conda-forge ipympl\n", "```\n", "\n", "Para activarlo solo hay que usar el decorador `%matplotlib widget`:" ] }, { "cell_type": "code", "execution_count": 1, "id": "cd4a5b57-72da-47c5-b5e5-20de303c4d0b", "metadata": {}, "outputs": [], "source": [ "%matplotlib widget\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "79a65e46-7410-4cf7-a694-fbc332c192aa", "metadata": {}, "source": [ "Cuando creemos una gráfica como venimos haciendo hasta ahora al mover el ratón por encima se nos descubrirá una barra de botones (a la izquierda arriba por defecto) que nos permitirá mover la gráfica, hacer zoom e incluso guardar cómodamente la gráfica:" ] }, { "cell_type": "code", "execution_count": 2, "id": "8d0b5ac6-2677-4a82-9bff-084371719d74", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "c1a6431d3be34ed98dc6dec3647028a9", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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