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Geographical distance computation algorithms.

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GeoLib

Introduction

This library provides functions for calculating the geographical distance between two points on the Earth's surface.

The user has the ability to define their custom point type to be used for distance computation. We employ traits for accessing structure elements. Therefore, these have to be specialized by the library user. An example structure is shown below:

struct CustomPoint
{
  CustomPoint(double latitude, double longitude) :
    latitude(latitude),
    longitude(longitude) {}
  double latitude, longitude;
 };

This then has to be specialized with the generic functions getRadian and getDegree. We have to implement these in the PointTrait namespace. An example specialization is provided below:

namespace PointTrait
{
    template <>
    struct AccessPoint<CustomPoint, 0>
    {
        static double getRadian(CustomPoint const& p)
        { return p.latitude * M_PI / 180; }

        static double getDegree(CustomPoint const& p)
        { return p.latitude; }
    };
    template <>
    struct AccessPoint<CustomPoint, 1>
    {
        static double getRadian(CustomPoint const& p)
        { return p.longitude * M_PI / 180; }

        static double getDegree(CustomPoint const& p)
        { return p.longitude; }
    };
}

To see this in action, please refer to the tests/geodistance_test.cpp file.

Build instructions

First clone the repository with the following command:

$ git clone https://github.com/adl1995/boost-geometry-proposal.git

Then, cd into the cloned repository by:

$ cd boost-geometry-proposal
$ cd geolib

To compile the library, first create a build directory:

$ mkdir build
$ cd build

The next step is to run CMake to configure the project:

$ cmake ../

Once CMake is configured, the library can be built by typing make. This will build the 'geolib_tests' component:

$ make

The tests can be run by typing:

$ make tests

To build the documentation using Doxygen, type:

$ make docs

Finally, the HTML documentation can be opened with Firefox by typing:

$ firefox docs/html/index.html

Results

For benchmarking, we calculate the average execution time over all the distance algorithms. The dataset used is: Test set for geodesics, by Karney, Charles. For the purpose of this demonstration, only 15000 entries are used for testing.

The bar chart below tries to visually compare the average execution time for each distance formula. This was calculated using the g++ compiler (version 7.2.0 on Ubuntu 14.04) with the O1 optimization level:

execution-times

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