Intersection Test

intersection-test.ipynb

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        "<a href=\"https://colab.research.google.com/gist/sammko/3bce10656778e670629c2b63c62f7357/intersection-test.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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      "source": [
        "!pip install pygeodesy"
      ],
      "execution_count": 0,
      "outputs": [
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          "text": [
            "Collecting pygeodesy\n",
            "\u001b[?25l  Downloading https://files.pythonhosted.org/packages/3e/d2/8f880f1b22c2f308841448effcd48b69c9d883d744e394ce456ef977efd2/PyGeodesy-20.5.30-py2.py3-none-any.whl (367kB)\n",
            "\u001b[K     |████████████████████████████████| 368kB 2.9MB/s \n",
            "\u001b[?25hInstalling collected packages: pygeodesy\n",
            "Successfully installed pygeodesy-20.5.30\n"
          ],
          "name": "stdout"
        }
      ]
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      "source": [
        "import random\n",
        "import folium\n",
        "import itertools\n",
        "from operator import itemgetter\n",
        "from pygeodesy import sphericalNvector as snv\n",
        "from math import cos, sin, acos, tan, radians, degrees"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
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      "metadata": {
        "id": "sMR5jt-5lk_L",
        "colab_type": "code",
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      "source": [
        "def circ_intersect(s1, r1, s2, r2):\n",
        "    R = 6371008.77141\n",
        "    B = radians(s1.initialBearingTo(s2))\n",
        "    D = s1.distanceTo(s2)/R\n",
        "    a1 = r1/R\n",
        "    a2 = r2/R\n",
        "    tx = (cos(a2)/cos(a1)-cos(D))/sin(D)\n",
        "    try:\n",
        "        x = acos(tx/tan(a1))\n",
        "    except ValueError:\n",
        "        return ()\n",
        "    return (s1.destination(r1, degrees(B+x)), s1.destination(r1, degrees(B-x)))"
      ],
      "execution_count": 0,
      "outputs": []
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      "source": [
        "def rand_coords():\n",
        "    return snv.LatLon(random.random()*180-90, random.random()*360-180)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MCFnTJPqlk_Q",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def lltup(s):\n",
        "    return (s.lat, s.lon)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
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      "source": [
        "N = 10\n",
        "def test():\n",
        "    x = rand_coords()\n",
        "    centers = [rand_coords() for i in range(N)]\n",
        "    circles = [(center, center.distanceTo(x)) for center in centers]\n",
        "    points = []\n",
        "    for c1, c2 in itertools.combinations(circles, 2):\n",
        "        s1, r1 = c1\n",
        "        s2, r2 = c2\n",
        "        ins = circ_intersect(s1, r1, s2, r2)\n",
        "        ins = [(p, p.distanceTo(x)) for p in ins]\n",
        "        closest = min(ins, key=itemgetter(1))\n",
        "        points.append(closest)\n",
        "        #print(closest[0].distanceTo(x))\n",
        "    return x, circles, points\n",
        "x, circles, points = test()\n",
        "distances = lambda: map(itemgetter(1), points)\n",
        "max(distances())"
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            var circle_fa5be426a7e74dd3895c79d0d34cfc39 = L.circle(
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            ],
            "text/plain": [
              "<folium.folium.Map at 0x7f41d0915048>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 7
        }
      ]
    }
  ]
}