rotation_widget-rise.ipynb

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   "source": [
    "# Interactive Widget\n"
   ]
  },
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   "execution_count": 1,
   "metadata": {
    "hide_input": true,
    "init_cell": true,
    "slideshow": {
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       "version_major": 2,
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      "text/html": [
       "<p>Failed to display Jupyter Widget of type <code>interactive</code>.</p>\n",
       "<p>\n",
       "  If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n",
       "  that the widgets JavaScript is still loading. If this message persists, it\n",
       "  likely means that the widgets JavaScript library is either not installed or\n",
       "  not enabled. See the <a href=\"https://ipywidgets.readthedocs.io/en/stable/user_install.html\">Jupyter\n",
       "  Widgets Documentation</a> for setup instructions.\n",
       "</p>\n",
       "<p>\n",
       "  If you're reading this message in another frontend (for example, a static\n",
       "  rendering on GitHub or <a href=\"https://nbviewer.jupyter.org/\">NBViewer</a>),\n",
       "  it may mean that your frontend doesn't currently support widgets.\n",
       "</p>\n"
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      "text/plain": [
       "interactive(children=(IntSlider(value=20, description='$\\\\alpha$', max=360, step=10), IntSlider(value=0, description='$\\\\beta$', max=360, step=10), IntSlider(value=0, description='$\\\\gamma$', max=360, step=10), Output()), _dom_classes=('widget-interact',))"
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   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from ipywidgets import interact, widgets\n",
    "\n",
    "@interact(alpha_=widgets.IntSlider(min=0,max=360,step=10,value=20,description=r'$\\alpha$'), \n",
    "          beta_=widgets.IntSlider(min=0,max=360,step=10,value=0,description=r'$\\beta$'), \n",
    "          gamma_=widgets.IntSlider(min=0,max=360,step=10,value=0,description=r'$\\gamma$'))\n",
    "def create_plot(alpha_, beta_, gamma_):\n",
    "    \n",
    "    alpha = np.deg2rad(alpha_)\n",
    "    beta = np.deg2rad(beta_)\n",
    "    gamma = np.deg2rad(gamma_)\n",
    "\n",
    "    soa1 = np.array([[0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0],\n",
    "                    [0, 0, 0, 0, 0, 1]])\n",
    "\n",
    "    soa2 = np.array([[0, 0, 0, np.cos(alpha) * np.cos(beta), np.sin(alpha) * np.cos(beta), -np.sin(beta)], \n",
    "                     [0, 0, 0, np.cos(alpha) * np.sin(beta) * np.sin(gamma) - np.sin(alpha) * np.cos(gamma), np.sin(alpha) * np.sin(beta) * np.sin(gamma) + np.cos(alpha) * np.cos(gamma), np.cos(beta) * np.sin(gamma)], \n",
    "                    [0, 0, 0, np.cos(alpha) * np.sin(beta) * np.cos(gamma) + np.sin(alpha) * np.sin(gamma), np.sin(alpha) * np.sin(beta) * np.cos(gamma) - np.cos(alpha) * np.sin(gamma), np.cos(beta) * np.cos(gamma)]])\n",
    "\n",
    "    X1, Y1, Z1, U1, V1, W1 = zip(*soa1)\n",
    "    X2, Y2, Z2, U2, V2, W2 = zip(*soa2)\n",
    "    fig = plt.figure(figsize=(8,8))\n",
    "    ax = fig.add_subplot(111, projection='3d')\n",
    "    ax.quiver(X1, Y1, Z1, U1, V1, W1, color='k', arrow_length_ratio=0.1, length=2, linewidths=3)\n",
    "    ax.quiver(X2, Y2, Z2, U2, V2, W2, color='r', arrow_length_ratio=0.1, length=2, linewidths=3)\n",
    "    ax.text(2, 0, 0, \"$N$\", color='k', fontsize=20)\n",
    "    ax.text(0, 2, 0, \"$E$\", color='k', fontsize=20)\n",
    "    ax.text(0, 0, 2, \"$D$\", color='k', fontsize=20)\n",
    "    if (np.abs(U1[0] - U2[0]) >= 0.01):\n",
    "        ax.text(2 * U2[0], 2 * V2[0], 2 * W2[0], \"$S_1$\", color='r', fontsize=20)\n",
    "    if (np.abs(V1[1] - V2[1]) >= 0.01):\n",
    "        ax.text(2 * U2[1], 2 * V2[1], 2* W2[1], \"$S_2$\", color='r', fontsize=20)\n",
    "    if (np.abs(W1[2] - W2[2]) >= 0.01):\n",
    "        ax.text(2 * U2[2], 2 * V2[2], 2 * W2[2], \"$S_3$\", color='r', fontsize=20)\n",
    "    ax.view_init(200,-10)\n",
    "    ax.set_axis_off()\n",
    "    ax.set_xlim([-1.2, 1.2])\n",
    "    ax.set_ylim([-1.2, 1.2])\n",
    "    ax.set_zlim([-1.2, 1.2])\n",
    "    plt.show()"
   ]
  },
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   "execution_count": 2,
   "metadata": {
    "hide_input": true,
    "init_cell": true,
    "slideshow": {
     "slide_type": "skip"
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       "        }\n",
       "    }\n",
       "}\n",
       "\n",
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    "%%javascript\n",
    "function hideElements(elements, start) {\n",
    "    for(var i = 0, length = elements.length; i < length;i++) {\n",
    "        if(i >= start) {\n",
    "            elements[i].style.display = \"none\";\n",
    "        }\n",
    "    }\n",
    "}\n",
    "\n",
    "var prompt_elements = document.getElementsByClassName(\"prompt\");\n",
    "hideElements(prompt_elements, 0)"
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  }
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   "language": "python",
   "name": "python3"
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          "text/plain": "<matplotlib.figure.Figure at 0x104265e80>"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}