{
  "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": 3,
      "metadata": {
        "id": "8iGI3lWGxbCt",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 806
        },
        "outputId": "f9e4be50-c9ac-4a9f-9ff6-db3cad179fb5"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: cadquery in /usr/local/lib/python3.12/dist-packages (2.5.2)\n",
            "Requirement already satisfied: cadquery-ocp<7.8,>=7.7.0 in /usr/local/lib/python3.12/dist-packages (from cadquery) (7.7.2)\n",
            "Requirement already satisfied: ezdxf in /usr/local/lib/python3.12/dist-packages (from cadquery) (1.4.2)\n",
            "Requirement already satisfied: multimethod<2.0,>=1.11 in /usr/local/lib/python3.12/dist-packages (from cadquery) (1.12)\n",
            "Requirement already satisfied: nlopt<3.0,>=2.9.0 in /usr/local/lib/python3.12/dist-packages (from cadquery) (2.9.1)\n",
            "Requirement already satisfied: typish in /usr/local/lib/python3.12/dist-packages (from cadquery) (1.9.3)\n",
            "Requirement already satisfied: casadi in /usr/local/lib/python3.12/dist-packages (from cadquery) (3.7.1)\n",
            "Requirement already satisfied: path in /usr/local/lib/python3.12/dist-packages (from cadquery) (17.1.1)\n",
            "Requirement already satisfied: numpy<3,>=2 in /usr/local/lib/python3.12/dist-packages (from nlopt<3.0,>=2.9.0->cadquery) (2.0.2)\n",
            "Requirement already satisfied: pyparsing>=2.0.1 in /usr/local/lib/python3.12/dist-packages (from ezdxf->cadquery) (3.2.3)\n",
            "Requirement already satisfied: typing_extensions>=4.6.0 in /usr/local/lib/python3.12/dist-packages (from ezdxf->cadquery) (4.15.0)\n",
            "Requirement already satisfied: fonttools in /usr/local/lib/python3.12/dist-packages (from ezdxf->cadquery) (4.59.1)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 700x700 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "# solución al Ejercicio Propuesto 2.3.4.\n",
        "\n",
        "!pip install cadquery\n",
        "\n",
        "import cadquery as cq\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# ---------- utilidades geométricas ----------\n",
        "def involute_xy(rb, t):\n",
        "    \"\"\"Curva involuta de círculo: x=rb(cos t + t sin t), y=rb(sin t - t cos t).\"\"\"\n",
        "    x = rb * (np.cos(t) + t * np.sin(t))\n",
        "    y = rb * (np.sin(t) - t * np.cos(t))\n",
        "    return x, y\n",
        "\n",
        "def rotate(x, y, ang):\n",
        "    ca, sa = np.cos(ang), np.sin(ang)\n",
        "    return ca*x - sa*y, sa*x + ca*y\n",
        "\n",
        "def arc_xy(r, th1, th2, n=50):\n",
        "    \"\"\"Arco CCW entre th1 y th2 (rad).\"\"\"\n",
        "    if th2 < th1:\n",
        "        th2 += 2*np.pi\n",
        "    th = np.linspace(th1, th2, n)\n",
        "    return r*np.cos(th), r*np.sin(th)\n",
        "\n",
        "# ---------- construcción de un diente involuta ----------\n",
        "def tooth_segments(z, m, alpha_deg=20.0, n_iv=80):\n",
        "    alpha = np.deg2rad(alpha_deg)\n",
        "    rp = 0.5*m*z                 # radio primitivo\n",
        "    rb = rp*np.cos(alpha)        # radio base\n",
        "    ra = rp + m                  # radio de cabeza (addendum)\n",
        "    rr = max(rp - 1.25*m, 0.0)   # radio de pie (dedendum aprox.)\n",
        "\n",
        "    inv = np.tan(alpha) - alpha\n",
        "    half_tooth = np.pi/(2*z) + inv\n",
        "    r_start = max(rr, rb)\n",
        "\n",
        "    # parámetro t tal que r = rb*sqrt(1+t^2)\n",
        "    t_for_r = lambda r: np.sqrt(max((r/rb)**2 - 1.0, 0.0))\n",
        "    t0 = 0.0 if r_start == rb else t_for_r(r_start)\n",
        "    ta = t_for_r(ra)\n",
        "    t = np.linspace(t0, ta, n_iv)\n",
        "\n",
        "    # involuta base (apuntando al +X), flanco derecho e izquierdo\n",
        "    x0, y0 = involute_xy(rb, t)\n",
        "    xr, yr = rotate(x0, y0, +half_tooth)               # flanco derecho\n",
        "    xl, yl = rotate(x0, -y0, -half_tooth)              # flanco izquierdo (espejo + rotación)\n",
        "\n",
        "    # puntas (en el círculo de cabeza)\n",
        "    th_r_tip = np.arctan2(yr[-1], xr[-1])\n",
        "    th_l_tip = np.arctan2(yl[-1], xl[-1])\n",
        "    xa_head, ya_head = arc_xy(ra, th_r_tip, th_l_tip, n=40)\n",
        "\n",
        "    # arranques en raíz/base\n",
        "    th_r_root = np.arctan2(yr[0], xr[0])\n",
        "    th_l_root = np.arctan2(yl[0], xl[0])\n",
        "    xa_root, ya_root = arc_xy(r_start, th_l_root, th_r_root, n=35)\n",
        "\n",
        "    segs = [\n",
        "        (xr, yr),                 # flanco derecho (subiendo)\n",
        "        (xa_head, ya_head),       # arco de cabeza\n",
        "        (xl[::-1], yl[::-1]),     # flanco izquierdo (bajando)\n",
        "        (xa_root, ya_root),       # arco de pie/base\n",
        "    ]\n",
        "    return segs, (rb, rp, ra, rr)\n",
        "\n",
        "# ---------- dibujo de todo el engranaje ----------\n",
        "def draw_involute_gear(z=8, m=2.0, alpha_deg=20.0, bore_diam=10.0, show_guides=False):\n",
        "    segs_one, (rb, rp, ra, rr) = tooth_segments(z, m, alpha_deg)\n",
        "    fig = plt.figure(figsize=(7,7))\n",
        "    ax = plt.gca()\n",
        "\n",
        "    # dibuja cada diente por rotación de sus segmentos\n",
        "    for i in range(z):\n",
        "        ang = 2*np.pi*i/z\n",
        "        for (x, y) in segs_one:\n",
        "            xs, ys = rotate(x, y, ang)\n",
        "            ax.plot(xs, ys, linewidth=1.8)\n",
        "\n",
        "    # guías (opcionales)\n",
        "    th = np.linspace(0, 2*np.pi, 400)\n",
        "    if show_guides:\n",
        "        ax.plot(rp*np.cos(th), rp*np.sin(th), linewidth=0.6, linestyle=\"--\", label=\"Pitch circle\")\n",
        "        ax.plot(rb*np.cos(th), rb*np.sin(th), linewidth=0.6, linestyle=\"--\", label=\"Base circle\")\n",
        "        ax.plot(rr*np.cos(th), rr*np.sin(th), linewidth=0.6, linestyle=\"--\", label=\"Root circle\")\n",
        "\n",
        "    # agujero central\n",
        "    if bore_diam > 0:\n",
        "        r = bore_diam/2.0\n",
        "        ax.plot(r*np.cos(th), r*np.sin(th), linewidth=1.8)\n",
        "\n",
        "    ax.set_aspect('equal', 'box')\n",
        "    ax.set_xticks([]); ax.set_yticks([])\n",
        "    ax.set_title(f\"Engranaje involuta (z={z}, m={m}, α={alpha_deg}°)\")\n",
        "    plt.show()\n",
        "\n",
        "# ------- ejecutar -------\n",
        "draw_involute_gear(z=8, m=2.0, alpha_deg=20.0, bore_diam=12.0, show_guides=True)"
      ]
    }
  ]
}