stybtang2d

gistfile1.txt

{
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   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
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     "data": {
      "text/html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ],
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       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly\n",
    "import plotly.graph_objs as go\n",
    "import ipywidgets as widgets\n",
    "\n",
    "import numpy as np\n",
    "from scipy import special\n",
    "\n",
    "plotly.offline.init_notebook_mode(connected=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def styblinski(x, y):\n",
    "    return(1.0/2 * (x**4 - 16*x**2 + 5*x + y**4 - 16*y**2 + 5*y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "xx = np.linspace(-5, 5, 200)\n",
    "yy = xx\n",
    "x,y = np.meshgrid(xx, yy)\n",
    "z = styblinski(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "colorscale=[\n",
    "    [0.0, 'rgb(20,29,67)'],\n",
    "    [0.1, 'rgb(28,76,96)'],\n",
    "    [0.2, 'rgb(16,125,121)'],\n",
    "    [0.3, 'rgb(92,166,133)'],\n",
    "    [0.4, 'rgb(182,202,175)'],\n",
    "    [0.5, 'rgb(253,245,243)'],\n",
    "    [0.6, 'rgb(230,183,162)'],\n",
    "    [0.7, 'rgb(211,118,105)'],\n",
    "    [0.8, 'rgb(174,63,95)'],\n",
    "    [0.9, 'rgb(116,25,93)'],\n",
    "    [1.0, 'rgb(51,13,53)']\n",
    "]\n",
    "\n",
    "colorscale='YlGnBu'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "textz=[['x: '+'{:0.5f}'.format(x[i][j])+'<br>y: '+'{:0.5f}'.format(y[i][j])+\n",
    "        '<br>z: '+'{:0.5f}'.format(z[i][j]) for j in range(z.shape[1])] for i in range(z.shape[0])]\n",
    "\n",
    "trace1= go.Surface(\n",
    "    z=z,\n",
    "    x=x,\n",
    "    y=y,\n",
    "    colorscale=colorscale,\n",
    "    showscale=False,\n",
    "    #text=textz,\n",
    "    hoverinfo='text',\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "axis = dict(\n",
    "showbackground=True,\n",
    "backgroundcolor=\"rgb(230,230,230)\",\n",
    "showgrid=False,\n",
    "zeroline=False,\n",
    "showline=False)\n",
    "\n",
    "ztickvals=list(range(-80,250, 50))\n",
    "layout = go.Layout(\n",
    "    #title=\"Styblinski-Tang Function in Two Dimensions\",\n",
    "    autosize=False,\n",
    "    width=900,\n",
    "    height=800,\n",
    "    scene=dict(xaxis=dict(axis, range=[-7, 7]),\n",
    "                yaxis=dict(axis, range=[-7, 7]),\n",
    "                zaxis=dict(axis , tickvals=ztickvals),\n",
    "                aspectratio=dict(x=1,\n",
    "                                 y=1,\n",
    "                                 z=0.95)\n",
    "               )\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "z_offset=(np.min(z)-2)*np.ones(z.shape)#\n",
    "x_offset=np.min(xx)*np.ones(z.shape)\n",
    "y_offset=np.min(yy)*np.ones(z.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
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