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Driving Range Polygon Designing Algorithm for Driving Range For the asynchronous HTTP request, I decided to use Volley library [Chakraborty, 2016]. With this library, tasks can be executed asynchronously on a different thread which won’t block the ”main application’s thread”. In our algorithms, I create one common Request queue and the library executes them all at once. The responses come independently of each other and the speed performance is limited only with internet connection speed and Google API’s speed limitation which is declared as 50 requests per second. Moreover, the Volley library allows a JSON object to return instead of a String. 5.5.3 First Suggestion At the very beginning, I created a red circle to display the great-circle distance from the current location. As said before, it is just 90 percent of the range value. For testing purposes, I decided to create a hexagon in this circle with the center of the current location as well. The hexagon is finally replaced by a more accurate twenty-four-sided polygon. There is a need to get a location of each point in the hexagon. It means the distance need to be set which is the actual range value and bearing from the current location. I use the following formula to get it. Formula: 5. Draw polygon. φ2 = asin(sinφ1 · cosδ + cosφ1 · sinδ · cosθ), λ2 = λ1 + atan2(sinθ · sinδ · cosφ1, cosδ − sinφ1 · sinφ2), where φ is latitude, λ is longitude, θ is the bearing (clockwise from north), δ is the angular distance d/R; d being the distance travelled, R the earth’s radius [Veness]. Each of hexagon’s point lies on the circle and with each iteration is each point refined until stop condition is reached. The stop condition is set up as 3 kilometers. The following are the described algorithm’s steps: 1. Create circle with a great-circle based radius 2. Create a hexagon in this circle 3. For each point of the hexagon, get the driving distance returned by Google Maps Distances Matrix API 4. With each iteration reduce the deviation of each point as long as the stop condition is reached (3 km deviation) 17PDF Image | Driving Range Estimation and Trajectory Planning
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