{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 731
        },
        "id": "LXlSRBeHtETj",
        "outputId": "d5732eb4-7367-43fe-d539-6b167face98d"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting ezdxf\n",
            "  Downloading ezdxf-1.4.2-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (9.8 kB)\n",
            "Requirement already satisfied: pyparsing>=2.0.1 in /usr/local/lib/python3.12/dist-packages (from ezdxf) (3.2.3)\n",
            "Requirement already satisfied: typing_extensions>=4.6.0 in /usr/local/lib/python3.12/dist-packages (from ezdxf) (4.15.0)\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.12/dist-packages (from ezdxf) (2.0.2)\n",
            "Requirement already satisfied: fonttools in /usr/local/lib/python3.12/dist-packages (from ezdxf) (4.59.1)\n",
            "Downloading ezdxf-1.4.2-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (5.8 MB)\n",
            "\u001b[2K   \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m5.8/5.8 MB\u001b[0m \u001b[31m29.9 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hInstalling collected packages: ezdxf\n",
            "Successfully installed ezdxf-1.4.2\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 700x700 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "# Ejercicio Propuesto 2.1.3.2.\n",
        "\n",
        "!pip install ezdxf\n",
        "\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def rotate_points(x, y, theta):\n",
        "    \"\"\"Rota puntos (x,y) un ángulo theta (rad) alrededor del origen.\"\"\"\n",
        "    ct, st = np.cos(theta), np.sin(theta)\n",
        "    xr = ct * x - st * y\n",
        "    yr = st * x + ct * y\n",
        "    return xr, yr\n",
        "\n",
        "def plot_parabola(p=1.0, vertex=(0,0), theta=0.0, x_range=(-10,10), points=400, ax=None, color='b', label='Parábola'):\n",
        "    \"\"\"\n",
        "    Dibuja parábola: y = (1/(4p)) * x^2\n",
        "    - p > 0: abre hacia arriba\n",
        "    - p < 0: abre hacia abajo\n",
        "    \"\"\"\n",
        "    x = np.linspace(x_range[0], x_range[1], points)\n",
        "    y = (x**2) / (4*p)   # cambia concavidad con el signo de p\n",
        "\n",
        "    # Foco y directriz\n",
        "    foco = np.array([0, p])\n",
        "    directriz_y = -p\n",
        "    dir_x = np.linspace(x_range[0]*2, x_range[1]*2, 2)\n",
        "    dir_y = np.full_like(dir_x, directriz_y)\n",
        "\n",
        "    # Rotar\n",
        "    xr, yr = rotate_points(x, y, theta)\n",
        "    xf, yf = rotate_points(foco[0], foco[1], theta)\n",
        "    dir_xr, dir_yr = rotate_points(dir_x, dir_y, theta)\n",
        "\n",
        "    # Trasladar\n",
        "    h, k = vertex\n",
        "    xr += h; yr += k\n",
        "    xf += h; yf += k\n",
        "    dir_xr += h; dir_yr += k\n",
        "\n",
        "    # Graficar\n",
        "    if ax is None:\n",
        "        fig, ax = plt.subplots(figsize=(7,7))\n",
        "    ax.plot(xr, yr, color=color, label=label)\n",
        "    ax.scatter([xf], [yf], color='red', s=40, label='Foco')\n",
        "    ax.plot(dir_xr, dir_yr, '--', color='gray', label='Directriz')\n",
        "    ax.scatter([h],[k], color='black', marker='x', label='Vértice')\n",
        "\n",
        "    ax.set_aspect('equal', adjustable='box')\n",
        "    ax.grid(True)\n",
        "    ax.legend()\n",
        "\n",
        "# --- EJEMPLOS ---\n",
        "fig, ax = plt.subplots(figsize=(7,7))\n",
        "\n",
        "# Parábola con p>0 (abre hacia arriba)\n",
        "plot_parabola(p=5, vertex=(0,0), theta=0, x_range=(-20,20), ax=ax, color='blue', label='Convexa')\n",
        "\n",
        "# Parábola con p<0 (abre hacia abajo)\n",
        "plot_parabola(p=-5, vertex=(0,-30), theta=0, x_range=(-20,20), ax=ax, color='green', label='Cóncava')\n",
        "\n",
        "ax.set_title(\"Parábolas con distinta concavidad\")\n",
        "plt.show()"
      ]
    }
  ]
}