úÎ<µ9».      !"#$%&'()*+,-1./.A location is a coordinate at a specific time RA coordinate is a place on earths surface. While twoDMS and fromDMS are the only O required functions, coordinate systems may provide more accurate calculations I of heading, distance, and vectors without the intermediate translation.  JDMS is the degrees, minutes, seconds used for both latitude and longitude 2DMSCoordinate is the typical degree minute second  for latitude/-longitude used by most civilian GPS devices. #Empty declaration for phantom type #Empty declaration for phantom type )Speed is hard coded as meters per second ,Angles are expressed in radians from North.  0 == North  pi/ 2 == West  pi == South  (32)pi == East == - (pi  2) "Distances are expressed in meters radius of the earth in meters North is 0 radians ,South, being 180 degrees from North, is pi. East is 270 degrees from North West is 90 degrees (pi/2) 0)provides a heading in radians from North >Given a vector and coordinate, computes a new DMS coordinate. , Within some epsilon it should hold that if  %dest = addVector (dist,heading) startthen   heading == dmsHeading start dest dist == distance start dest!Provides a lat/lon pair of doubles in radians "Provides a lat/lon pair of doubles in degrees #$DTypically useful for printing, normalizes degrees, minutes, seconds ( into just degrees and decimal minutes: 'DMSCoord (DMS 45 36.938455 0) (DMS ...)1%smoothTrails speed trail3 should separate points that would mandate a speed J in excess of the given rate into separate Trails. No point are deleted;  if there is only one correct+ trail expected then the largest resulting 0 trail will likely be the one your looking for. &Uses %. but returns only the longest resulting trail 2\Filters out any points that go backward in time (thus must not be valid if this is a trail) 'LCreates a list of trails all of which are within the given distance of each 2 other spanning atleast the given amount of time.  For example restLocations 50 600 N would return lists of all points that are within 50 meters of each other and ) span at least 10 minutes (600 seconds). MNote this gives points within fifty meters of the earliest point - wandering K in a rest area with a 50 meter radius could result in several rest points  ([a,b..]F) or even none if the distance between individual points exceeds 50m. (QReturns the closest distance between two trails (or Nothing if a trail is empty)  O( (n * m) * log (n * m) ) )divideArea vDist hDist nw se( divides an area into a grid of equally I spaced coordinates within the box drawn by the northwest point (nw) and J southeast point (se). Because this uses floating point there might be a O different number of points in some rows (the last might be too far east based " on a heading from the se point). 34*  !"#$%&'()*  %&'($"!# )*     !"#$%&'() *PThe KML type and operations might be moved into a Data.KML module in the future +JConverts the KML elements to a string and prepends the proper XML header, G thus making it the correct format for saving as a file and opening it * with other programs such as GoogleEarth. 5678,>converts a given set of coordinates to a trail in KML format.  Useful for saving as a file. -=converts a given set of coordinates to points in KML format.  Useful for saving as a file. 90Gets a pair of lat lon bytestrings (in degrees) *+,-*,-+*+,-:      !"#$%&'()*+,-./0123456789:;< gps-0.4.0Data.GPS Data.GPS.KMLLocation getCoordinategetTimegetUTCspeed CoordinatetoDMSfromDMSdistanceheading getVectorDMSdegreesminutesseconds DMSCoordinateDMSCoordlatitude longitude LongitudeLatitudeTrailVectorSpeedHeadingDistance radiusOfEarthnorthsoutheastwest addVectordmsToRadianPairdmsToDegreePairdegreePairToDMS normalizeDMS smoothTrailslongestSmoothTrail restLocationsclosestDistance divideAreaKML kmlToString trailToKML pointsToKML TempTrailT dmsHeadingfromTemp linearTime putLocation getLocationaddElem basicName basicElem filledElemgetDegreeLatLon