Function to calculate distance between two coordinates

Question

I m currently using the function below and it doesn t work properly  According to Google Maps  the distance between these coordinates  from 59 3293371 13 4877472 to 59 3225525 13 4619422  are 2 2 kilometres while the function returns 1 6 kilometres  How can I make this function return the correct distance   function getDistanceFromLatLonInKm lat1  lon1  lat2  lon2      var R   6371     Radius of the earth in km   var dLat   deg2rad lat2-lat1       deg2rad below   var dLon   deg2rad lon2-lon1      var a        Math sin dLat 2    Math sin dLat 2        Math cos deg2rad lat1     Math cos deg2rad lat2          Math sin dLon 2    Math sin dLon 2           var c   2   Math atan2 Math sqrt a   Math sqrt 1-a       var d   R   c     Distance in km   return d     function deg2rad deg      return deg    Math PI 180      jsFiddle  http   jsfiddle net edgren gAHJB

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As said before  your function is calculating a straight line distance to the destination point  If you want the driving distance route  you can use Google Maps Distance Matrix Service  getDrivingDistanceBetweenTwoLatLong origin  destination      return new Observable subscriber   gt      let service   new google maps DistanceMatrixService      service getDistanceMatrix              origins   new google maps LatLng origin lat  origin long          destinations   new google maps LatLng destination lat  destination long          travelMode   DRIVING          response  status    gt          if  status     google maps DistanceMatrixStatus OK            console log  Error    status           subscriber error  error  status  status  status            else           console log response           try             let valueInMeters   response rows 0  elements 0  distance value            let valueInKms   valueInMeters   1000            subscriber next valueInKms             subscriber complete                     catch error            subscriber error  error  error  status  status

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Using Haversine formula  source of the code                                                                                                                                                                              This routine calculates the distance between two points  given the                latitude longitude of those points   It is being used to calculate                the distance between two locations using GeoDataSource  TM  prodducts                                                                                               Definitions                                                                         South latitudes are negative  east longitudes are positive                                                                                                        Passed to function                                                                  lat1  lon1   Latitude and Longitude of point 1  in decimal degrees                lat2  lon2   Latitude and Longitude of point 2  in decimal degrees                unit   the unit you desire for results                                                   where   M  is statute miles  default                                                      K  is kilometers                                                                  N  is nautical miles                                                                                                                               Worldwide cities and other features databases with latitude longitude             are available at https   www geodatasource com                                                                                                                      For enquiries  please contact sales geodatasource com                                                                                                               Official Web site  https   www geodatasource com                                                                                                                                 GeoDataSource com  C  All Rights Reserved 2018                                                                                                                                                                                     function distance lat1  lon1  lat2  lon2  unit        if   lat1    lat2   amp  amp   lon1    lon2             return 0            else           var radlat1   Math PI   lat1 180          var radlat2   Math PI   lat2 180          var theta   lon1-lon2          var radtheta   Math PI   theta 180          var dist   Math sin radlat1    Math sin radlat2    Math cos radlat1    Math cos radlat2    Math cos radtheta           if  dist  gt  1                dist   1                    dist   Math acos dist           dist   dist   180 Math PI          dist   dist   60   1 1515          if  unit   K     dist   dist   1 609344           if  unit   N     dist   dist   0 8684           return dist            The sample code is licensed under LGPLv3

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I try to make the code a little bit understandable by naming the variables  I hope this can help function getDistanceFromLatLonInKm point1  point2       const  lat1  lon1    point1    const  lat2  lon2    point2    const earthRadius   6371    const dLat   convertDegToRad lat2 - lat1     const dLon   convertDegToRad lon2 - lon1     const squarehalfChordLength       Math sin dLat   2    Math sin dLat   2        Math cos convertDegToRad lat1     Math cos convertDegToRad lat2         Math sin dLon   2    Math sin dLon   2      const angularDistance   2   Math atan2 Math sqrt squarehalfChordLength   Math sqrt 1 - squarehalfChordLength      const distance   earthRadius   angularDistance    return distance

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I have written the function to find distance between two coordinates  It will return distance in meter    function findDistance        var R   6371e3     R is earth   s radius    var lat1   23 18489670753479     starting point lat    var lat2   32 726601             ending point lat    var lon1   72 62524545192719     starting point lon    var lon2   74 857025             ending point lon    var lat1radians   toRadians lat1      var lat2radians   toRadians lat2       var latRadians   toRadians lat2-lat1      var lonRadians   toRadians lon2-lon1       var a   Math sin latRadians 2    Math sin latRadians 2            Math cos lat1radians    Math cos lat2radians            Math sin lonRadians 2    Math sin lonRadians 2      var c   2   Math atan2 Math sqrt a   Math sqrt 1-a        var d   R   c      console log d     function toRadians val       var PI   3 1415926535      return val   180 0   PI

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Derek s solution worked fine for me  and I ve just simply converted it to PHP  hope it helps somebody out there    function calcCrow  lat1   lon1   lat2   lon2            R   6371     km          dLat   toRad  lat2- lat1            dLon   toRad  lon2- lon1            lat1   toRad  lat1            lat2   toRad  lat2             a   sin  dLat 2    sin  dLat 2   sin  dLon 2    sin  dLon 2    cos  lat1    cos  lat2             c   2   atan2 sqrt  a   sqrt 1- a              d    R    c          return  d        Converts numeric degrees to radians function toRad  Value         return  Value   pi     180

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I have written a similar equation before - tested it and also got 1 6 km   Your google maps was showing the DRIVING distance   Your function is calculating as the crow flies  straight line distance    alert calcCrow 59 3293371 13 4877472 59 3225525 13 4619422  toFixed 1             This function takes in latitude and longitude of two location and returns the distance between them as the crow flies  in km      function calcCrow lat1  lon1  lat2  lon2               var R   6371     km       var dLat   toRad lat2-lat1         var dLon   toRad lon2-lon1         var lat1   toRad lat1         var lat2   toRad lat2          var a   Math sin dLat 2    Math sin dLat 2            Math sin dLon 2    Math sin dLon 2    Math cos lat1    Math cos lat2          var c   2   Math atan2 Math sqrt a   Math sqrt 1-a           var d   R   c        return d                Converts numeric degrees to radians     function toRad Value                 return Value   Math PI   180

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Visit this address   https   www movable-type co uk scripts latlong html You can use this code   JavaScript        const R   6371e3     metres const f1   lat1   Math PI 180     f    in radians const f2   lat2   Math PI 180  const  f    lat2-lat1    Math PI 180  const       lon2-lon1    Math PI 180   const a   Math sin  f 2    Math sin  f 2              Math cos f1    Math cos f2              Math sin    2    Math sin    2   const c   2   Math atan2 Math sqrt a   Math sqrt 1-a     const d   R   c     in metres

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Try this  It is in VB net and you need to convert it to Javascript  This function accepts parameters in decimal minutes       Private Function calculateDistance ByVal long1 As String  ByVal lat1 As String  ByVal long2 As String  ByVal lat2 As String  As Double     long1   Double Parse long1      lat1   Double Parse lat1      long2   Double Parse long2      lat2   Double Parse lat2        conversion to radian     lat1    lat1   2 0   Math PI    60 0   360 0     long1    long1   2 0   Math PI    60 0   360 0     lat2    lat2   2 0   Math PI    60 0   360 0     long2    long2   2 0   Math PI    60 0   360 0        use to different earth axis length     Dim a As Double   6378137 0          Earth Major Axis  WGS84      Dim b As Double   6356752 3142       Minor Axis     Dim f As Double    a - b    a           Flattening      Dim e As Double   2 0   f - f   f         Eccentricity       Dim beta As Double    a   Math Sqrt 1 0 - e   Math Sin lat1    Math Sin lat1        Dim cos As Double   Math Cos lat1      Dim x As Double   beta   cos   Math Cos long1      Dim y As Double   beta   cos   Math Sin long1      Dim z As Double   beta    1 - e    Math Sin lat1       beta    a   Math Sqrt 1 0 - e   Math Sin lat2    Math Sin lat2        cos   Math Cos lat2      x -   beta   cos   Math Cos long2       y -   beta   cos   Math Sin long2       z -   beta    1 - e    Math Sin lat2        Return Math Sqrt  x   x     y   y     z   z   End Function   Edit The converted function in javascript  function calculateDistance lat1  long1  lat2  long2                   radians       lat1    lat1   2 0   Math PI    60 0   360 0              long1    long1   2 0   Math PI    60 0   360 0            lat2    lat2   2 0   Math PI    60 0   360 0           long2    long2   2 0   Math PI    60 0   360 0                    use to different earth axis length           var a   6378137 0            Earth Major Axis  WGS84            var b   6356752 3142         Minor Axis           var f    a-b    a             Flattening            var e   2 0 f - f f           Eccentricity               var beta    a   Math sqrt  1 0 - e   Math sin  lat1     Math sin  lat1                var cos   Math cos  lat1              var x   beta   cos   Math cos  long1              var y   beta   cos   Math sin  long1              var z   beta     1 - e     Math sin  lat1                 beta     a   Math sqrt  1 0 -  e   Math sin  lat2     Math sin  lat2                cos   Math cos  lat2             x -   beta   cos   Math cos  long2               y -   beta   cos   Math sin  long2               z -   beta    1 - e    Math sin  lat2                   return  Math sqrt   x x     y y     z z    1000

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I implemeneted this algorithm in typescript and ES6 export type Coordinate       lat  number    lon  number      get the distance between two points  function getDistanceBetweenTwoPoints cord1  Coordinate  cord2  Coordinate      if  cord1 lat    cord2 lat  amp  amp  cord1 lon    cord2 lon        return 0         const radlat1    Math PI   cord1 lat    180    const radlat2    Math PI   cord2 lat    180     const theta   cord1 lon - cord2 lon    const radtheta    Math PI   theta    180     let dist       Math sin radlat1    Math sin radlat2        Math cos radlat1    Math cos radlat2    Math cos radtheta      if  dist  gt  1        dist   1         dist   Math acos dist     dist    dist   180    Math PI    dist   dist   60   1 1515    dist   dist   1 609344    convert miles to km      return dist     get the distance between an array of coordinates export function getTotalDistance coordinates  Coordinate        coordinates   coordinates filter  cord    gt        if  cord lat  amp  amp  cord lon          return true                   let totalDistance   0     if   coordinates        return 0         if  coordinates length  lt  2        return 0         for  let i   0  i  lt  coordinates length - 2  i          if          coordinates i  lon           coordinates i  lat           coordinates i   1  lon           coordinates i   1  lat               totalDistance   totalDistance            totalDistance         totalDistance         getDistanceBetweenTwoPoints coordinates i   coordinates i   1           return totalDistance toFixed 2

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Calculate the Distance between Two Points in javascript  function distance lat1  lon1  lat2  lon2  unit            var radlat1   Math PI   lat1 180         var radlat2   Math PI   lat2 180         var theta   lon1-lon2         var radtheta   Math PI   theta 180         var dist   Math sin radlat1    Math sin radlat2    Math cos radlat1    Math cos radlat2    Math cos radtheta           dist   Math acos dist          dist   dist   180 Math PI         dist   dist   60   1 1515         if  unit   K     dist   dist   1 609344           if  unit   N     dist   dist   0 8684           return dist     For more details refer this  Reference Link

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Great-circle distance - From chord length  Here s an elegant solution applying the strategy design pattern  I hope it s readable enough   TwoPointsDistanceCalculatorStrategy js   module exports        gt   class TwoPointsDistanceCalculatorStrategy        constructor           calculateDistance   point1Coordinates  point2Coordinates            GreatCircleTwoPointsDistanceCalculatorStrategy js   module exports      TwoPointsDistanceCalculatorStrategy      gt   class GreatCircleTwoPointsDistanceCalculatorStrategy extends TwoPointsDistanceCalculatorStrategy        constructor             super                          Following the algorithm documented here          https   en wikipedia org wiki Great-circle distance Computational formulas                 param  object  inputs         param  array  inputs point1Coordinates         param  array  inputs point2Coordinates                 returns  decimal  distance in kelometers             calculateDistance   point1Coordinates  point2Coordinates               const convertDegreesToRadians   require     convert-degrees-to-radians            const EARTH RADIUS   6371       in kelometers          const  lat1   0  lon1   0    point1Coordinates          const  lat2   0  lon2   0    point2Coordinates           const radianLat1   convertDegreesToRadians   degrees  lat1             const radianLon1   convertDegreesToRadians   degrees  lon1             const radianLat2   convertDegreesToRadians   degrees  lat2             const radianLon2   convertDegreesToRadians   degrees  lon2              const centralAngle    computeCentralAngle                lat1  radianLat1  lon1  radianLon1               lat2  radianLat2  lon2  radianLon2                        const distance   EARTH RADIUS   centralAngle           return distance                         param  object  inputs     param  decimal  inputs lat1     param  decimal  inputs lon1     param  decimal  inputs lat2     param  decimal  inputs lon2         returns  decimal  centralAngle     function  computeCentralAngle   lat1  lon1  lat2  lon2           const chordLength    computeChordLength   lat1  lon1  lat2  lon2         const centralAngle   2   Math asin chordLength   2        return centralAngle                  param  object  inputs     param  decimal  inputs lat1     param  decimal  inputs lon1     param  decimal  inputs lat2     param  decimal  inputs lon2         returns  decimal  chordLength     function  computeChordLength   lat1  lon1  lat2  lon2           const   sin  cos  pow  sqrt     Math       const  X   cos lat2    cos lon2  - cos lat1    cos lon1       const  Y   cos lat2    sin lon2  - cos lat1    sin lon1       const  Z   sin lat2  - sin lat1        const  XSquare   pow  X  2       const  YSquare   pow  Y  2       const  ZSquare   pow  Z  2        const chordLength   sqrt  XSquare    YSquare    ZSquare        return chordLength      convert-degrees-to-radians js   module exports   function convertDegreesToRadians   degrees           return degrees   Math PI   180       This s following the Great-circle distance - From chord length  documented here

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What you re using is called the haversine formula  which calculates the distance between two points on a sphere as the crow flies   The Google Maps link you provided shows the distance as 2 2 km because it s not a straight line   Wolphram Alpha is a great resource for doing geographic calculations  and also shows a distance of 1 652 km between these two points     If you re looking for straight-line distance  as the crow files   your function is working correctly   If what you want is driving distance  or biking distance or public transportation distance or walking distance   you ll have to use a mapping API  Google or Bing being the most popular  to get the appropriate route  which will include the distance   Incidentally  the Google Maps API provides a packaged method for spherical distance  in its google maps geometry spherical namespace  look for computeDistanceBetween    It s probably better than rolling your own  for starters  it uses a more precise value for the Earth s radius    For the picky among us  when I say  straight-line distance   I m referring to a  straight line on a sphere   which is actually a curved line  i e  the great-circle distance   of course

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Adding this for Node JS users  You can use the haversine-distance module to do this so you won t need to handle the calculations on your own  See the npm page for more information  To install   npm install --save haversine-distance  You can use the module as follows  var haversine   require  quot haversine-distance quot       First point in your haversine calculation var point1     lat  6 1754  lng  106 8272      Second point in your haversine calculation var point2     lat  6 1352  lng  106 8133    var haversine m   haversine point1  point2     Results in meters  default  var haversine km   haversine m  1000    Results in kilometers  console log  quot distance  in meters    quot    haversine m    quot m quot    console log  quot distance  in kilometers    quot    haversine km    quot km quot

[javascript] Function to calculate distance between two coordinates

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