Azimuth.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Azimuth.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "widgets": {
      "application/vnd.jupyter.widget-state+json": {
        "a252f72c51754c19b56345fd62e8621d": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ButtonModel",
          "state": {
            "_view_name": "ButtonView",
            "style": "IPY_MODEL_e5e18e85d0a1447d898ad373c514a7e2",
            "_dom_classes": [],
            "description": "Calculate!",
            "_model_name": "ButtonModel",
            "button_style": "",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "tooltip": "",
            "_view_count": null,
            "disabled": false,
            "_view_module_version": "1.5.0",
            "layout": "IPY_MODEL_9d56bd267d76484da2fc96a7bc76be6e",
            "_model_module": "@jupyter-widgets/controls",
            "icon": ""
          }
        },
        "e5e18e85d0a1447d898ad373c514a7e2": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ButtonStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "ButtonStyleModel",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "button_color": null,
            "font_weight": "",
            "_view_module_version": "1.2.0",
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "9d56bd267d76484da2fc96a7bc76be6e": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "grid_area": null,
            "grid_template_columns": null,
            "flex": null,
            "_model_name": "LayoutModel",
            "justify_items": null,
            "grid_row": null,
            "max_height": null,
            "align_content": null,
            "visibility": null,
            "align_self": null,
            "height": null,
            "min_height": null,
            "padding": null,
            "grid_auto_rows": null,
            "grid_gap": null,
            "max_width": null,
            "order": null,
            "_view_module_version": "1.2.0",
            "grid_template_areas": null,
            "object_position": null,
            "object_fit": null,
            "grid_auto_columns": null,
            "margin": null,
            "display": null,
            "left": null
          }
        },
        "59c5228d07634c0faac1818ad593b5ed": {
          "model_module": "@jupyter-widgets/output",
          "model_name": "OutputModel",
          "state": {
            "_view_name": "OutputView",
            "msg_id": "",
            "_dom_classes": [],
            "_model_name": "OutputModel",
            "outputs": [
              {
                "output_type": "display_data",
                "metadata": {
                  "tags": []
                },
                "text/html": "<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><span style=\"color:#565656\">Make this Notebook Trusted to load map: File -> Trust Notebook</span><iframe src=\"about:blank\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" data-html=<!DOCTYPE html>
<head>    
    <meta http-equiv="content-type" content="text/html; charset=UTF-8" />
    <script>L_PREFER_CANVAS=false; L_NO_TOUCH=false; L_DISABLE_3D=false;</script>
    <script src="https://cdn.jsdelivr.net/npm/leaflet@1.4.0/dist/leaflet.js"></script>
    <script src="https://code.jquery.com/jquery-1.12.4.min.js"></script>
    <script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/js/bootstrap.min.js"></script>
    <script src="https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.js"></script>
    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/leaflet@1.4.0/dist/leaflet.css"/>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/css/bootstrap.min.css"/>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/css/bootstrap-theme.min.css"/>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/font-awesome/4.6.3/css/font-awesome.min.css"/>
    <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.css"/>
    <link rel="stylesheet" href="https://rawcdn.githack.com/python-visualization/folium/master/folium/templates/leaflet.awesome.rotate.css"/>
    <style>html, body {width: 100%;height: 100%;margin: 0;padding: 0;}</style>
    <style>#map {position:absolute;top:0;bottom:0;right:0;left:0;}</style>
    
    <meta name="viewport" content="width=device-width,
        initial-scale=1.0, maximum-scale=1.0, user-scalable=no" />
    <style>#map_7e22bc456a8e4f81b7692ad0ff4b172c {
        position: relative;
        width: 100.0%;
        height: 100.0%;
        left: 0.0%;
        top: 0.0%;
        }
    </style>
</head>
<body>    
    
    <div class="folium-map" id="map_7e22bc456a8e4f81b7692ad0ff4b172c" ></div>
</body>
<script>    
    
    
        var bounds = null;
    

    var map_7e22bc456a8e4f81b7692ad0ff4b172c = L.map(
        'map_7e22bc456a8e4f81b7692ad0ff4b172c', {
        center: [-20.066664347007283, -44.02545422584495],
        zoom: 13,
        maxBounds: bounds,
        layers: [],
        worldCopyJump: false,
        crs: L.CRS.EPSG3857,
        zoomControl: true,
        });


    
    var tile_layer_43b39b8352234c2eb196b403e9d6caa5 = L.tileLayer(
        'https://stamen-tiles-{s}.a.ssl.fastly.net/terrain/{z}/{x}/{y}.jpg',
        {
        "attribution": null,
        "detectRetina": false,
        "maxNativeZoom": 18,
        "maxZoom": 18,
        "minZoom": 0,
        "noWrap": false,
        "opacity": 1,
        "subdomains": "abc",
        "tms": false
}).addTo(map_7e22bc456a8e4f81b7692ad0ff4b172c);
    
        var marker_eb0168d0358842afb03bba744720e97f = L.marker(
            [-20.058720922101248, -44.01038904298729],
            {
                icon: new L.Icon.Default(),
                }
            ).addTo(map_7e22bc456a8e4f81b7692ad0ff4b172c);
        
    

                var icon_5b17bef305a94a64b642a07f0fb63f66 = L.AwesomeMarkers.icon({
                    icon: 'info-sign',
                    iconColor: 'white',
                    markerColor: 'blue',
                    prefix: 'glyphicon',
                    extraClasses: 'fa-rotate-0'
                    });
                marker_eb0168d0358842afb03bba744720e97f.setIcon(icon_5b17bef305a94a64b642a07f0fb63f66);
            
    
            var popup_7b2d273fa63545bc9c75bce8be83e28e = L.popup({maxWidth: '100%'
            
            });

            
                var html_89dc4b3a9e4e48d8932dbb88db868008 = $(`<div id="html_89dc4b3a9e4e48d8932dbb88db868008" style="width: 100.0%; height: 100.0%;"><center>Ponto Ferruginoso</center><br><center>-20.06--44.01</center></div>`)[0];
                popup_7b2d273fa63545bc9c75bce8be83e28e.setContent(html_89dc4b3a9e4e48d8932dbb88db868008);
            

            marker_eb0168d0358842afb03bba744720e97f.bindPopup(popup_7b2d273fa63545bc9c75bce8be83e28e)
            ;

            
        
    
        var marker_e2f6e033db954511bb2f6f1156afe6f2 = L.marker(
            [-20.062523867550127, -44.03801028449023],
            {
                icon: new L.Icon.Default(),
                }
            ).addTo(map_7e22bc456a8e4f81b7692ad0ff4b172c);
        
    

                var icon_4fd7508a62d04ee2aad3cb0315447b22 = L.AwesomeMarkers.icon({
                    icon: 'info-sign',
                    iconColor: 'white',
                    markerColor: 'blue',
                    prefix: 'glyphicon',
                    extraClasses: 'fa-rotate-0'
                    });
                marker_e2f6e033db954511bb2f6f1156afe6f2.setIcon(icon_4fd7508a62d04ee2aad3cb0315447b22);
            
    
            var popup_a3218574784a4361bce2cd84b83ccdaf = L.popup({maxWidth: '100%'
            
            });

            
                var html_56b96ea9342b4c4bbdf544742a7cbfb1 = $(`<div id="html_56b96ea9342b4c4bbdf544742a7cbfb1" style="width: 100.0%; height: 100.0%;"><center>Posto 39</center><br><center>-20.06--44.04</center></div>`)[0];
                popup_a3218574784a4361bce2cd84b83ccdaf.setContent(html_56b96ea9342b4c4bbdf544742a7cbfb1);
            

            marker_e2f6e033db954511bb2f6f1156afe6f2.bindPopup(popup_a3218574784a4361bce2cd84b83ccdaf)
            ;

            
        
    
        var marker_a11755daadf84d1b898155f17c51c3da = L.marker(
            [-20.078748251370477, -44.027963350057334],
            {
                icon: new L.Icon.Default(),
                }
            ).addTo(map_7e22bc456a8e4f81b7692ad0ff4b172c);
        
    

                var icon_db60a4ef5a48409daed8b37c12f43565 = L.AwesomeMarkers.icon({
                    icon: 'info-sign',
                    iconColor: 'white',
                    markerColor: 'red',
                    prefix: 'glyphicon',
                    extraClasses: 'fa-rotate-0'
                    });
                marker_a11755daadf84d1b898155f17c51c3da.setIcon(icon_db60a4ef5a48409daed8b37c12f43565);
            
    
            var popup_2cfea84d28e84340a776e5bbd0616cc1 = L.popup({maxWidth: '100%'
            
            });

            
                var html_2417418e6aab401ab089bd5fa2b36d02 = $(`<div id="html_2417418e6aab401ab089bd5fa2b36d02" style="width: 100.0%; height: 100.0%;"><center>Interseção</center><br><center>-20.08--44.03</center></div>`)[0];
                popup_2cfea84d28e84340a776e5bbd0616cc1.setContent(html_2417418e6aab401ab089bd5fa2b36d02);
            

            marker_a11755daadf84d1b898155f17c51c3da.bindPopup(popup_2cfea84d28e84340a776e5bbd0616cc1)
            ;

            
        
    
                var poly_line_9f0ba530301e487692fdbf9c06fdffe9 = L.polyline(
                    [[-20.058720922101248, -44.01038904298729], [-20.062523867550127, -44.03801028449023]],
                    {
  "bubblingMouseEvents": true,
  "color": "blue",
  "dashArray": null,
  "dashOffset": null,
  "fill": false,
  "fillColor": "blue",
  "fillOpacity": 0.2,
  "fillRule": "evenodd",
  "lineCap": "round",
  "lineJoin": "round",
  "noClip": false,
  "opacity": 1,
  "smoothFactor": 1.0,
  "stroke": true,
  "weight": 2.5
}
                    )
                    .addTo(map_7e22bc456a8e4f81b7692ad0ff4b172c);
            
    
                var poly_line_b702690aabff43d6a423a05e808e038d = L.polyline(
                    [[-20.058720922101248, -44.01038904298729], [-20.078748251370477, -44.027963350057334]],
                    {
  "bubblingMouseEvents": true,
  "color": "green",
  "dashArray": null,
  "dashOffset": null,
  "fill": false,
  "fillColor": "green",
  "fillOpacity": 0.2,
  "fillRule": "evenodd",
  "lineCap": "round",
  "lineJoin": "round",
  "noClip": false,
  "opacity": 1,
  "smoothFactor": 1.0,
  "stroke": true,
  "weight": 2.5
}
                    )
                    .addTo(map_7e22bc456a8e4f81b7692ad0ff4b172c);
            
    
                var poly_line_0b11737fc85343e18773c5a2af9a7cf8 = L.polyline(
                    [[-20.062523867550127, -44.03801028449023], [-20.078748251370477, -44.027963350057334]],
                    {
  "bubblingMouseEvents": true,
  "color": "green",
  "dashArray": null,
  "dashOffset": null,
  "fill": false,
  "fillColor": "green",
  "fillOpacity": 0.2,
  "fillRule": "evenodd",
  "lineCap": "round",
  "lineJoin": "round",
  "noClip": false,
  "opacity": 1,
  "smoothFactor": 1.0,
  "stroke": true,
  "weight": 2.5
}
                    )
                    .addTo(map_7e22bc456a8e4f81b7692ad0ff4b172c);
            
</script> onload=\"this.contentDocument.open();this.contentDocument.write(atob(this.getAttribute('data-html')));this.contentDocument.close();\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>",
                "text/plain": "<folium.folium.Map at 0x7fc6b1e38f60>"
              }
            ],
            "_view_module": "@jupyter-widgets/output",
            "_model_module_version": "1.0.0",
            "_view_count": null,
            "_view_module_version": "1.0.0",
            "layout": "IPY_MODEL_a19b2113063e48d282e9fcd80969ca5f",
            "_model_module": "@jupyter-widgets/output"
          }
        },
        "a19b2113063e48d282e9fcd80969ca5f": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "grid_area": null,
            "grid_template_columns": null,
            "flex": null,
            "_model_name": "LayoutModel",
            "justify_items": null,
            "grid_row": null,
            "max_height": null,
            "align_content": null,
            "visibility": null,
            "align_self": null,
            "height": null,
            "min_height": null,
            "padding": null,
            "grid_auto_rows": null,
            "grid_gap": null,
            "max_width": null,
            "order": null,
            "_view_module_version": "1.2.0",
            "grid_template_areas": null,
            "object_position": null,
            "object_fit": null,
            "grid_auto_columns": null,
            "margin": null,
            "display": null,
            "left": null
          }
        }
      }
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/assismauro/CursoPython/blob/master/Azimuth.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YjKSN-T2KiNL",
        "colab_type": "text"
      },
      "source": [
        "# Azimuth\n",
        "\n",
        "This Colab Notebook calculates the crossing point of two lines of sight, plot the corresponding azimuths and show the crossing point distances.\n",
        "\n",
        "To run:\n",
        "\n",
        " * Click \"Run\" button (small arrow) left to the next cell.\n",
        " * Fill data\n",
        " * Click \"Run\"button again\n",
        " * click in \"Calculate!\" button below the form cell.\n",
        " "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CeIo2Gem9lb2",
        "colab_type": "code",
        "cellView": "form",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000,
          "referenced_widgets": [
            "a252f72c51754c19b56345fd62e8621d",
            "e5e18e85d0a1447d898ad373c514a7e2",
            "9d56bd267d76484da2fc96a7bc76be6e",
            "59c5228d07634c0faac1818ad593b5ed",
            "a19b2113063e48d282e9fcd80969ca5f"
          ]
        },
        "outputId": "2ba6b7fc-f3c3-4706-ec66-eea07abd4bea"
      },
      "source": [
        "!pip install simplekml\n",
        "import ipywidgets as widgets\n",
        "from IPython.display import display\n",
        "from shapely.geometry import Point, LineString\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib.pyplot import figure\n",
        "import math\n",
        "import folium\n",
        "import simplekml\n",
        "\n",
        "#@title {run: 'auto'} ## Dados de Entrada\n",
        "\n",
        "#@markdown #### Torre A \n",
        "nomeA = \"Ponto Ferruginoso\" #@param {type:\"string\"}\n",
        "xA = 603484.00 #@param {type:\"number\"}\n",
        "yA = 7781714.00 #@param {type:\"number\"}\n",
        "azA = 220 #@param {type:\"number\"}\n",
        " \n",
        "#@markdown #### Torre B \n",
        "nomeB = \"Posto 39\" #@param {type:\"string\"}\n",
        "xB = 600593.00 #@param {type:\"number\"}\n",
        "yB = 7781310.00 #@param {type:\"number\"}\n",
        "azB = 150 #@param {type:\"number\"}\n",
        " \n",
        "button = widgets.Button(description=\"Calculate!\")\n",
        "output = widgets.Output()\n",
        " \n",
        "# trigonometry\n",
        "def sincos(azim):\n",
        "    az = np.radians(azim)\n",
        "    sinaz = np.sin(az)\n",
        "    cosaz = np.cos(az)\n",
        "    return sinaz,cosaz\n",
        " \n",
        "def calcIntersection(xA,yA,azA,xB,yB,azB): \n",
        "    pointA = Point(xA,yA)\n",
        "    sinA, cosA = sincos(azA)\n",
        "    pointB = Point(xB,yB)\n",
        "    sinB, cosB = sincos(azB)\n",
        "    length = 10000\n",
        "    endlineA = Point(pointA.x+(length*sinA), pointA.y+(length*cosA))\n",
        "    endlineB = Point(pointB.x+(length*sinB), pointB.y+(length*cosB))\n",
        "    line1 = LineString([pointA,endlineA])\n",
        "    line2 = LineString([pointB,endlineB])\n",
        "    intersection = LineString([pointB,endlineB]).intersection(LineString([pointA,endlineA]))\n",
        "    return  ((pointA.distance(pointB),\n",
        "             pointA.distance(intersection),\n",
        "             pointB.distance(intersection)),\n",
        "            intersection)\n",
        " \n",
        "def plotResult(p1,p2,p3,nomeA,NomeB,distances):\n",
        "     figure(num=None, figsize=(12, 9), dpi=80, facecolor='w', edgecolor='k')\n",
        "     x_values = [p1[0], p3[0]]\n",
        "     y_values = [p1[1], p3[1]]\n",
        "     plt.plot(x_values, y_values,label='Visada '+nomeA)\n",
        "     x_values = [p2[0], p3[0]]\n",
        "     y_values = [p2[1], p3[1]]\n",
        "     plt.plot(x_values, y_values,label='Visada '+nomeB)\n",
        "     title = 'X: {:10.2f}, Y: {:10.2f}\\nDistância entre torres: {:10.2f}m\\n'.format(\n",
        "             p3[0],p3[1],distances[0])+\\\n",
        "             'Distância {0} à interseção: {1:10.2f}m\\n'.format(nomeA,distances[1])+\\\n",
        "             'Distância {0} à interseção: {1:10.2f}m\\n'.format(nomeB,distances[2])\n",
        "     plt.title(title)\n",
        "     plt.legend()\n",
        "     plt.show()\n",
        "\n",
        "# converte utm para latlong\n",
        "def utmToLatLng(zone, easting, northing, northernHemisphere=True):\n",
        "    if not northernHemisphere:\n",
        "        northing = 10000000 - northing\n",
        "\n",
        "    a = 6378137\n",
        "    e = 0.081819191\n",
        "    e1sq = 0.006739497\n",
        "    k0 = 0.9996\n",
        "\n",
        "    arc = northing / k0\n",
        "    mu = arc / (a * (1 - math.pow(e, 2) / 4.0 - 3 * math.pow(e, 4) / 64.0 - 5 * math.pow(e, 6) / 256.0))\n",
        "\n",
        "    ei = (1 - math.pow((1 - e * e), (1 / 2.0))) / (1 + math.pow((1 - e * e), (1 / 2.0)))\n",
        "\n",
        "    ca = 3 * ei / 2 - 27 * math.pow(ei, 3) / 32.0\n",
        "\n",
        "    cb = 21 * math.pow(ei, 2) / 16 - 55 * math.pow(ei, 4) / 32\n",
        "    cc = 151 * math.pow(ei, 3) / 96\n",
        "    cd = 1097 * math.pow(ei, 4) / 512\n",
        "    phi1 = mu + ca * math.sin(2 * mu) + cb * math.sin(4 * mu) + cc * math.sin(6 * mu) + cd * math.sin(8 * mu)\n",
        "\n",
        "    n0 = a / math.pow((1 - math.pow((e * math.sin(phi1)), 2)), (1 / 2.0))\n",
        "\n",
        "    r0 = a * (1 - e * e) / math.pow((1 - math.pow((e * math.sin(phi1)), 2)), (3 / 2.0))\n",
        "    fact1 = n0 * math.tan(phi1) / r0\n",
        "\n",
        "    _a1 = 500000 - easting\n",
        "    dd0 = _a1 / (n0 * k0)\n",
        "    fact2 = dd0 * dd0 / 2\n",
        "\n",
        "    t0 = math.pow(math.tan(phi1), 2)\n",
        "    Q0 = e1sq * math.pow(math.cos(phi1), 2)\n",
        "    fact3 = (5 + 3 * t0 + 10 * Q0 - 4 * Q0 * Q0 - 9 * e1sq) * math.pow(dd0, 4) / 24\n",
        "\n",
        "    fact4 = (61 + 90 * t0 + 298 * Q0 + 45 * t0 * t0 - 252 * e1sq - 3 * Q0 * Q0) * math.pow(dd0, 6) / 720\n",
        "\n",
        "    lof1 = _a1 / (n0 * k0)\n",
        "    lof2 = (1 + 2 * t0 + Q0) * math.pow(dd0, 3) / 6.0\n",
        "    lof3 = (5 - 2 * Q0 + 28 * t0 - 3 * math.pow(Q0, 2) + 8 * e1sq + 24 * math.pow(t0, 2)) * math.pow(dd0, 5) / 120\n",
        "    _a2 = (lof1 - lof2 + lof3) / math.cos(phi1)\n",
        "    _a3 = _a2 * 180 / math.pi\n",
        "\n",
        "    latitude = 180 * (phi1 - fact1 * (fact2 + fact3 + fact4)) / math.pi\n",
        "\n",
        "    if not northernHemisphere:\n",
        "        latitude = -latitude\n",
        "\n",
        "    longitude = ((zone > 0) and (6 * zone - 183.0) or 3.0) - _a3\n",
        "\n",
        "    return (latitude, longitude)\n",
        "\n",
        "def plotMapFolium(z, p1, p2, p3, nomeA, nomeB, distances, northernHemisphere=False):\n",
        "    lat, lng = utmToLatLng(z, p1[0], p1[1], northernHemisphere=False)\n",
        "    g1 = (lat, lng)\n",
        "    lat, lng = utmToLatLng(z, p2[0], p2[1], northernHemisphere=False)\n",
        "    g2 = (lat, lng)\n",
        "    lat, lng = utmToLatLng(z, p3[0], p3[1], northernHemisphere=False)\n",
        "    g3 = (lat, lng)\n",
        "\n",
        "    points = [g1, g2, g3]\n",
        "    #print(points)\n",
        "\n",
        "    # Load map centred on average coordinates\n",
        "    ave_lat = sum(p[0] for p in points)/len(points)\n",
        "    ave_lng = sum(p[1] for p in points)/len(points)\n",
        "    #print(ave_lat, ave_lng)\n",
        "\n",
        "    title = 'Intersection coordinates (X: {:10.2f}, Y: {:10.2f})\\nDistance between towers: {:10.2f}m\\n'.format(\n",
        "             p3[0],p3[1],distances[0])+\\\n",
        "             'Distance {0} to intersection: {1:10.2f}m\\n'.format(nomeA,distances[1])+\\\n",
        "             'Distance {0} to intersection: {1:10.2f}m\\n'.format(nomeB,distances[2])\n",
        "    \n",
        "    mapa = folium.Map(\n",
        "        location=[ave_lat, ave_lng],\n",
        "        tiles='Stamen Terrain',\n",
        "        zoom_start=13\n",
        "    )\n",
        "    #print(title)\n",
        "    folium.Marker(\n",
        "        location=g1,\n",
        "        popup=\"<center>{}</center><br><center>{:.2f}-{:.2f}</center>\".format(nomeA, g1[0], g1[1]),\n",
        "        icon=folium.Icon(color='blue')\n",
        "    ).add_to(mapa)\n",
        "    folium.Marker(\n",
        "        location=g2,\n",
        "        popup=\"<center>{}</center><br><center>{:.2f}-{:.2f}</center>\".format(nomeB, g2[0], g2[1]),\n",
        "        icon=folium.Icon(color='blue')\n",
        "    ).add_to(mapa)\n",
        "    folium.Marker(\n",
        "        location=g3,\n",
        "        popup=\"<center>Interseção</center><br><center>{:.2f}-{:.2f}</center>\".format(g3[0], g3[1]),\n",
        "        icon=folium.Icon(color='red')\n",
        "    ).add_to(mapa)\n",
        "\n",
        "    folium.PolyLine([g1,g2], color=\"blue\", weight=2.5, opacity=1).add_to(mapa)\n",
        "    folium.PolyLine([g1,g3], color=\"green\", weight=2.5, opacity=1).add_to(mapa)\n",
        "    folium.PolyLine([g2,g3], color=\"green\", weight=2.5, opacity=1).add_to(mapa)\n",
        "        \n",
        "    mapa.save(\"/content/mapa2.html\")\n",
        "    return(mapa)\n",
        "\n",
        "def create_kml(z, p1, p2, p3, nomeA, nomeB, distances, azA, azB, northernHemisphere=False):\n",
        "    lat, lng = utmToLatLng(z, p1[0], p1[1], northernHemisphere=False)\n",
        "    g1 = (lng, lat)\n",
        "    lat, lng = utmToLatLng(z, p2[0], p2[1], northernHemisphere=False)\n",
        "    g2 = (lng, lat)\n",
        "    lat, lng = utmToLatLng(z, p3[0], p3[1], northernHemisphere=False)\n",
        "    g3 = (lng, lat)\n",
        "    kml = simplekml.Kml(open=1)\n",
        "    pntA = kml.newpoint(name=nomeA, description=\"Ponto de Observação A\",\n",
        "                   coords=[g1])  # lon, lat optional height\n",
        "    pntB = kml.newpoint(name=nomeB, description=\"Ponto de Observação B\",\n",
        "                   coords=[g2])  # lon, lat optional height\n",
        "    pntC = kml.newpoint(name=\"Cruzamento\", description=\"Incêndio\",\n",
        "                   coords=[g3])  # lon, lat optional height \n",
        "    # Create a linestring that will hover 100m above the ground that is extended to the ground\n",
        "    name1 = f'Linha de visada de A\\nDistância: {distances[1]:.2f}m\\nAzimute: {azA}{chr(176)}'\n",
        "    linestring1 = kml.newlinestring(name=name1)\n",
        "    linestring1.coords = [g1, g3]\n",
        "    linestring1.altitudemode = simplekml.AltitudeMode.clamptoground\n",
        "    linestring1.extrude = 1\n",
        "    # Create a linestring that will hover 100m above the ground that is extended to the ground\n",
        "    name2 = f'Linha de visada de B\\nDistância: {distances[2]:.2f}m\\nAzimute: {azB}{chr(176)}'\n",
        "    linestring2 = kml.newlinestring(name=name2)\n",
        "    linestring2.coords = [g2, g3]\n",
        "    linestring2.altitudemode = simplekml.AltitudeMode.clamptoground\n",
        "    linestring2.extrude = 1     \n",
        "    kml.save('linhas_pontos.kml')     \n",
        "\n",
        "def on_button_clicked(b):\n",
        "  with output:\n",
        "    distances, intersection = calcIntersection(xA,yA,azA,xB,yB,azB) \n",
        "    if not intersection.is_empty:\n",
        "      #plotResult([xA,yA],[xB,yB],[intersection.x,intersection.y],nomeA,nomeB,distances)\n",
        "      create_kml(23, [xA,yA],[xB,yB],[intersection.x,intersection.y],nomeA,nomeB,distances, azA, azB, northernHemisphere=False)\n",
        "      display(plotMapFolium(23, [xA,yA],[xB,yB],[intersection.x,intersection.y],nomeA,nomeB,distances, northernHemisphere=False))\n",
        "    else:\n",
        "      print(\"There's no crossing point!\")\n",
        "  \n",
        "button.on_click(on_button_clicked)\n",
        "display(button, output)"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Requirement already satisfied: simplekml in /usr/local/lib/python3.6/dist-packages (1.3.5)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "a252f72c51754c19b56345fd62e8621d",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "Button(description='Calculate!', style=ButtonStyle())"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "59c5228d07634c0faac1818ad593b5ed",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "Output()"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}