[OpenLayers-Users] Measure Distance? Ruler?

Chris Hardin chrislhardin at gmail.com
Mon Aug 20 08:17:46 EDT 2007


Yeah, the calculation involves a little trig. I figure it would be an
easy feature to add. I use the following .js file to calculate it, I
just need to figure out how to feed it the starting point and ending
point and draw a line.



	


var EARTH_MEAN_RADIUS_MILES = 3959.87247;
var EARTH_MEAN_RADIUS_KILOMETERS= 6372.797;
var EARTH_MEAN_RADIUS_KNOTS =3441.0351;
var EARTH_MEAN_RADIUS_FEET = 20908126.6;
var EARTH_MEAN_RADIUS_METERS = 6372796.99;
var EARTH_MEAN_RADIUS_YARDS = 6969375.53;




/*
 * Use Haversine formula to Calculate distance (in km) between two
points specified by
 * latitude/longitude (in numeric degrees)
 *
 * example usage from form:
 *   result.value = LatLon.distHaversine(lat1.value.parseDeg(),
long1.value.parseDeg(),
 *                                       lat2.value.parseDeg(),
long2.value.parseDeg());
 * where lat1, long1, lat2, long2, and result are form fields
 */
LatLon.distHaversine = function(lat1, lon1, lat2, lon2, meanRadius) {
  var R = meanRadius;
  var dLat = (lat2-lat1).toRad();
  var dLon = (lon2-lon1).toRad();
  lat1 = lat1.toRad(), lat2 = lat2.toRad();

  var a = Math.sin(dLat/2) * Math.sin(dLat/2) +
          Math.cos(lat1) * Math.cos(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;
  return d;
}


/*
 * ditto using Law of Cosines
 */
LatLon.distCosineLaw = function(lat1, lon1, lat2, lon2, meanRadius) {
  var R = meanRadius;
  var d = Math.acos(Math.sin(lat1.toRad())*Math.sin(lat2.toRad()) +

Math.cos(lat1.toRad())*Math.cos(lat2.toRad())*Math.cos((lon2-lon1).toRad()))
* R;
  return d;
}


/*
 * calculate (initial) bearing between two points
 *
 * from: Ed Williams' Aviation Formulary,
http://williams.best.vwh.net/avform.htm#Crs
 */
LatLon.bearing = function(lat1, lon1, lat2, lon2) {
  lat1 = lat1.toRad(); lat2 = lat2.toRad();
  var dLon = (lon2-lon1).toRad();

  var y = Math.sin(dLon) * Math.cos(lat2);
  var x = Math.cos(lat1)*Math.sin(lat2) -
          Math.sin(lat1)*Math.cos(lat2)*Math.cos(dLon);
  return Math.atan2(y, x).toBrng();
}


/*
 * calculate destination point given start point, initial bearing
(deg) and distance (km)
 *   see http://williams.best.vwh.net/avform.htm#LL
 */
LatLon.prototype.destPoint = function(brng, d, meanRadius) {
  var R = meanRadius; // earth's mean radius in km
  var lat1 = this.lat.toRad(), lon1 = this.lon.toRad();
  brng = brng.toRad();

  var lat2 = Math.asin( Math.sin(lat1)*Math.cos(d/R) +
                        Math.cos(lat1)*Math.sin(d/R)*Math.cos(brng) );
  var lon2 = lon1 + Math.atan2(Math.sin(brng)*Math.sin(d/R)*Math.cos(lat1),
                               Math.cos(d/R)-Math.sin(lat1)*Math.sin(lat2));

  if (isNaN(lat2) || isNaN(lon2)) return null;
  return new LatLon(lat2.toDeg(), lon2.toDeg());
}


/*
 * construct a LatLon object: arguments in numeric degrees
 *
 * note all LatLong methods expect & return numeric degrees (for
lat/long & for bearings)
 */
function LatLon(lat, lon) {
  this.lat = lat;
  this.lon = lon;
}


/*
 * represent point {lat, lon} in standard representation
 */
LatLon.prototype.toString = function() {
  return this.lat.toLat() + ', ' + this.lon.toLon();
}

/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
- - - - - - - - - - - - -  */

// extend String object with method for parsing degrees or lat/long
values to numeric degrees
//
// this is very flexible on formats, allowing signed decimal degrees,
or deg-min-sec suffixed by
// compass direction (NSEW). A variety of separators are accepted (eg
3º 37' 09"W) or fixed-width
// format without separators (eg 0033709W). Seconds and minutes may be
omitted. (Minimal validation
// is done).

String.prototype.parseDeg = function() {
  if (!isNaN(this)) return Number(this);                 // signed
decimal degrees without NSEW

  var degLL = this.replace(/^-/,'').replace(/[NSEW]/i,'');  // strip
off any sign or compass dir'n
  var dms = degLL.split(/[^0-9.]+/);                     // split out
separate d/m/s
  for (var i in dms) if (dms[i]=='') dms.splice(i,1);    // remove
empty elements (see note below)
  switch (dms.length) {                                  // convert to
decimal degrees...
    case 3:                                              // interpret
3-part result as d/m/s
      var deg = dms[0]/1 + dms[1]/60 + dms[2]/3600; break;
    case 2:                                              // interpret
2-part result as d/m
      var deg = dms[0]/1 + dms[1]/60; break;
    case 1:                                              // decimal or
non-separated dddmmss
      if (/[NS]/i.test(this)) degLL = '0' + degLL;       // -
normalise N/S to 3-digit degrees
      var deg = dms[0].slice(0,3)/1 + dms[0].slice(3,5)/60 +
dms[0].slice(5)/3600; break;
    default: return NaN;
  }
  if (/^-/.test(this) || /[WS]/i.test(this)) deg = -deg; // take '-',
west and south as -ve
  return deg;
}
// note: whitespace at start/end will split() into empty elements (except in IE)


/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
- - - - - - - - - - - - -  */

// extend Number object with methods for converting degrees/radians

Number.prototype.toRad = function() {  // convert degrees to radians
  return this * Math.PI / 180;
}

Number.prototype.toDeg = function() {  // convert radians to degrees (signed)
  return this * 180 / Math.PI;
}

Number.prototype.toBrng = function() {  // convert radians to degrees
(as bearing: 0...360)
  return (this.toDeg()+360) % 360;
}


/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
- - - - - - - - - - - - -  */

// extend Number object with methods for presenting bearings & lat/longs

Number.prototype.toDMS = function() {  // convert numeric degrees to deg/min/sec
  var d = Math.abs(this);  // (unsigned result ready for appending
compass dir'n)
  d += 1/7200;  // add ½ second for rounding
  var deg = Math.floor(d);
  var min = Math.floor((d-deg)*60);
  var sec = Math.floor((d-deg-min/60)*3600);
  // add leading zeros if required
  if (deg<100) deg = '0' + deg; if (deg<10) deg = '0' + deg;
  if (min<10) min = '0' + min;
  if (sec<10) sec = '0' + sec;
  return deg + '\u00B0' + min + '\u2032' + sec + '\u2033';
}

Number.prototype.toLat = function() {  // convert numeric degrees to
deg/min/sec latitude
  return this.toDMS().slice(1) + (this<0 ? 'S' : 'N');  // knock off
initial '0' for lat!
}

Number.prototype.toLon = function() {  // convert numeric degrees to
deg/min/sec longitude
  return this.toDMS() + (this>0 ? 'E' : 'W');
}

Number.prototype.toPrecision = function(fig) {  // override
toPrecision method with one which displays
  if (this == 0) return 0;                      // trailing zeros in
place of exponential notation
  var scale = Math.ceil(Math.log(this)*Math.LOG10E);
  var mult = Math.pow(10, fig-scale);
  return Math.round(this*mult)/mult;
}

/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
- - - - - - - - - - - - -  */



On 8/20/07, Erik Uzureau <erik.uzureau at metacarta.com> wrote:
> I know that there is a ticket for this in TRAC... and there may or may
> not be work underway to solve this.
>
> I know also that there are some wierd math-heavy functions in the (i
> believe) Util.js file which can be used to calculate distance between
> points.
>
> It has for a while been a (low) MetaCarta priority to add this
> functionality to OpenLayers
> erik
>
> On 8/19/07, Chris Hardin <chrislhardin at gmail.com> wrote:
> > I want to click a point and drag a line to another point on the map
> > and a measurement be given. I could write this myself, but I was
> > hoping there might already be something included or an add on I could
> > use. Does anyone have any ideas?
> > _______________________________________________
> > Users mailing list
> > Users at openlayers.org
> > http://openlayers.org/mailman/listinfo/users
> >
>


-- 
Chris Hardin
Software Architect
Archetype Corporation



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