///Functions from this site: // script som konverter fra lat/long til utm, og motsatt // http://home.hiwaay.net/~taylorc/toolbox/geography/geoutm.html var pi = 3.14159265358979; // Ellipsoid model constants (actual values here are for WGS84) var sm_a = 6378137.0; var sm_b = 6356752.314; var sm_EccSquared = 6.69437999013e-03; var UTMScaleFactor = 0.9996; // // DegToRad // // Converts degrees to radians. // // function DegToRad (deg) { return (deg / 180.0 * pi) } // // RadToDeg // // Converts radians to degrees. // // function RadToDeg (rad) { return (rad / pi * 180.0) } // // ArcLengthOfMeridian // // Computes the ellipsoidal distance from the equator to a point at a // given latitude. // // Reference: Hoffmann-Wellenhof, B., Lichtenegger, H., and Collins, J., // GPS: Theory and Practice, 3rd ed. New York: Springer-Verlag Wien, 1994. // // Inputs: // phi - Latitude of the point, in radians. // // Globals: // sm_a - Ellipsoid model major axis. // sm_b - Ellipsoid model minor axis. // // Returns: // The ellipsoidal distance of the point from the equator, in meters. // // function ArcLengthOfMeridian (phi) { var alpha, beta, gamma, delta, epsilon, n; var result; // Precalculate n n = (sm_a - sm_b) / (sm_a + sm_b); // Precalculate alpha alpha = ((sm_a + sm_b) / 2.0) * (1.0 + (Math.pow (n, 2.0) / 4.0) + (Math.pow (n, 4.0) / 64.0)); // Precalculate beta beta = (-3.0 * n / 2.0) + (9.0 * Math.pow (n, 3.0) / 16.0) + (-3.0 * Math.pow (n, 5.0) / 32.0); // Precalculate gamma gamma = (15.0 * Math.pow (n, 2.0) / 16.0) + (-15.0 * Math.pow (n, 4.0) / 32.0); // Precalculate delta delta = (-35.0 * Math.pow (n, 3.0) / 48.0) + (105.0 * Math.pow (n, 5.0) / 256.0); // Precalculate epsilon epsilon = (315.0 * Math.pow (n, 4.0) / 512.0); // Now calculate the sum of the series and return result = alpha * (phi + (beta * Math.sin (2.0 * phi)) + (gamma * Math.sin (4.0 * phi)) + (delta * Math.sin (6.0 * phi)) + (epsilon * Math.sin (8.0 * phi))); return result; } // // UTMCentralMeridian // // Determines the central meridian for the given UTM zone. // // Inputs: // zone - An integer value designating the UTM zone, range [1,60]. // // Returns: // The central meridian for the given UTM zone, in radians, or zero // if the UTM zone parameter is outside the range [1,60]. // Range of the central meridian is the radian equivalent of [-177,+177]. // // function UTMCentralMeridian (zone) { var cmeridian; cmeridian = DegToRad (-183.0 + (zone * 6.0)); return cmeridian; } // // FootpointLatitude // // Computes the footpoint latitude for use in converting transverse // Mercator coordinates to ellipsoidal coordinates. // // Reference: Hoffmann-Wellenhof, B., Lichtenegger, H., and Collins, J., // GPS: Theory and Practice, 3rd ed. New York: Springer-Verlag Wien, 1994. // // Inputs: // y - The UTM northing coordinate, in meters. // // Returns: // The footpoint latitude, in radians. // function FootpointLatitude (y) { var y_, alpha_, beta_, gamma_, delta_, epsilon_, n; var result; // Precalculate n (Eq. 10.18) n = (sm_a - sm_b) / (sm_a + sm_b); // Precalculate alpha_ (Eq. 10.22) // (Same as alpha in Eq. 10.17) alpha_ = ((sm_a + sm_b) / 2.0) * (1 + (Math.pow (n, 2.0) / 4) + (Math.pow (n, 4.0) / 64)); // Precalculate y_ (Eq. 10.23) y_ = y / alpha_; // Precalculate beta_ (Eq. 10.22) beta_ = (3.0 * n / 2.0) + (-27.0 * Math.pow (n, 3.0) / 32.0) + (269.0 * Math.pow (n, 5.0) / 512.0); // Precalculate gamma_ (Eq. 10.22) gamma_ = (21.0 * Math.pow (n, 2.0) / 16.0) + (-55.0 * Math.pow (n, 4.0) / 32.0); // Precalculate delta_ (Eq. 10.22) delta_ = (151.0 * Math.pow (n, 3.0) / 96.0) + (-417.0 * Math.pow (n, 5.0) / 128.0); // Precalculate epsilon_ (Eq. 10.22) epsilon_ = (1097.0 * Math.pow (n, 4.0) / 512.0); // Now calculate the sum of the series (Eq. 10.21) result = y_ + (beta_ * Math.sin (2.0 * y_)) + (gamma_ * Math.sin (4.0 * y_)) + (delta_ * Math.sin (6.0 * y_)) + (epsilon_ * Math.sin (8.0 * y_)); return result; } // // MapLatLonToXY // // Converts a latitude/longitude pair to x and y coordinates in the // Transverse Mercator projection. Note that Transverse Mercator is not // the same as UTM; a scale factor is required to convert between them. // // Reference: Hoffmann-Wellenhof, B., Lichtenegger, H., and Collins, J., // GPS: Theory and Practice, 3rd ed. New York: Springer-Verlag Wien, 1994. // // Inputs: // phi - Latitude of the point, in radians. // lambda - Longitude of the point, in radians. // lambda0 - Longitude of the central meridian to be used, in radians. // // Outputs: // xy - A 2-element array containing the x and y coordinates // of the computed point. // // Returns: // The function does not return a value. // // function MapLatLonToXY (phi, lambda, lambda0, xy) { var N, nu2, ep2, t, t2, l; var l3coef, l4coef, l5coef, l6coef, l7coef, l8coef; var tmp; // Precalculate ep2 ep2 = (Math.pow (sm_a, 2.0) - Math.pow (sm_b, 2.0)) / Math.pow (sm_b, 2.0); // Precalculate nu2 nu2 = ep2 * Math.pow (Math.cos (phi), 2.0); // Precalculate N N = Math.pow (sm_a, 2.0) / (sm_b * Math.sqrt (1 + nu2)); // Precalculate t t = Math.tan (phi); t2 = t * t; tmp = (t2 * t2 * t2) - Math.pow (t, 6.0); // Precalculate l l = lambda - lambda0; // Precalculate coefficients for l**n in the equations below // so a normal human being can read the expressions for easting // and northing // -- l**1 and l**2 have coefficients of 1.0 l3coef = 1.0 - t2 + nu2; l4coef = 5.0 - t2 + 9 * nu2 + 4.0 * (nu2 * nu2); l5coef = 5.0 - 18.0 * t2 + (t2 * t2) + 14.0 * nu2 - 58.0 * t2 * nu2; l6coef = 61.0 - 58.0 * t2 + (t2 * t2) + 270.0 * nu2 - 330.0 * t2 * nu2; l7coef = 61.0 - 479.0 * t2 + 179.0 * (t2 * t2) - (t2 * t2 * t2); l8coef = 1385.0 - 3111.0 * t2 + 543.0 * (t2 * t2) - (t2 * t2 * t2); // Calculate easting (x) xy[0] = N * Math.cos (phi) * l + (N / 6.0 * Math.pow (Math.cos (phi), 3.0) * l3coef * Math.pow (l, 3.0)) + (N / 120.0 * Math.pow (Math.cos (phi), 5.0) * l5coef * Math.pow (l, 5.0)) + (N / 5040.0 * Math.pow (Math.cos (phi), 7.0) * l7coef * Math.pow (l, 7.0)); // Calculate northing (y) xy[1] = ArcLengthOfMeridian (phi) + (t / 2.0 * N * Math.pow (Math.cos (phi), 2.0) * Math.pow (l, 2.0)) + (t / 24.0 * N * Math.pow (Math.cos (phi), 4.0) * l4coef * Math.pow (l, 4.0)) + (t / 720.0 * N * Math.pow (Math.cos (phi), 6.0) * l6coef * Math.pow (l, 6.0)) + (t / 40320.0 * N * Math.pow (Math.cos (phi), 8.0) * l8coef * Math.pow (l, 8.0)); return; } // // MapXYToLatLon // // Converts x and y coordinates in the Transverse Mercator projection to // a latitude/longitude pair. Note that Transverse Mercator is not // the same as UTM; a scale factor is required to convert between them. // // Reference: Hoffmann-Wellenhof, B., Lichtenegger, H., and Collins, J., // GPS: Theory and Practice, 3rd ed. New York: Springer-Verlag Wien, 1994. // // Inputs: // x - The easting of the point, in meters. // y - The northing of the point, in meters. // lambda0 - Longitude of the central meridian to be used, in radians. // // Outputs: // philambda - A 2-element containing the latitude and longitude // in radians. // Returns: // The function does not return a value. // // Remarks: // The local variables Nf, nuf2, tf, and tf2 serve the same purpose as // N, nu2, t, and t2 in MapLatLonToXY, but they are computed with respect // to the footpoint latitude phif. // // x1frac, x2frac, x2poly, x3poly, etc. are to enhance readability and // to optimize computations. // function MapXYToLatLon (x, y, lambda0, philambda) { var phif, Nf, Nfpow, nuf2, ep2, tf, tf2, tf4, cf; var x1frac, x2frac, x3frac, x4frac, x5frac, x6frac, x7frac, x8frac; var x2poly, x3poly, x4poly, x5poly, x6poly, x7poly, x8poly; // Get the value of phif, the footpoint latitude. phif = FootpointLatitude (y); // Precalculate ep2 ep2 = (Math.pow (sm_a, 2.0) - Math.pow (sm_b, 2.0)) / Math.pow (sm_b, 2.0); // Precalculate cos (phif) cf = Math.cos (phif); // Precalculate nuf2 nuf2 = ep2 * Math.pow (cf, 2.0); // Precalculate Nf and initialize Nfpow Nf = Math.pow (sm_a, 2.0) / (sm_b * Math.sqrt (1 + nuf2)); Nfpow = Nf; // Precalculate tf tf = Math.tan (phif); tf2 = tf * tf; tf4 = tf2 * tf2; // Precalculate fractional coefficients for x**n in the equations // below to simplify the expressions for latitude and longitude. x1frac = 1.0 / (Nfpow * cf); Nfpow *= Nf; // now equals Nf**2) x2frac = tf / (2.0 * Nfpow); Nfpow *= Nf; // now equals Nf**3) x3frac = 1.0 / (6.0 * Nfpow * cf); Nfpow *= Nf; // now equals Nf**4) x4frac = tf / (24.0 * Nfpow); Nfpow *= Nf; // now equals Nf**5) x5frac = 1.0 / (120.0 * Nfpow * cf); Nfpow *= Nf; // now equals Nf**6) x6frac = tf / (720.0 * Nfpow); Nfpow *= Nf; // now equals Nf**7) x7frac = 1.0 / (5040.0 * Nfpow * cf); Nfpow *= Nf; // now equals Nf**8) x8frac = tf / (40320.0 * Nfpow); // Precalculate polynomial coefficients for x**n. // -- x**1 does not have a polynomial coefficient. x2poly = -1.0 - nuf2; x3poly = -1.0 - 2 * tf2 - nuf2; x4poly = 5.0 + 3.0 * tf2 + 6.0 * nuf2 - 6.0 * tf2 * nuf2 - 3.0 * (nuf2 *nuf2) - 9.0 * tf2 * (nuf2 * nuf2); x5poly = 5.0 + 28.0 * tf2 + 24.0 * tf4 + 6.0 * nuf2 + 8.0 * tf2 * nuf2; x6poly = -61.0 - 90.0 * tf2 - 45.0 * tf4 - 107.0 * nuf2 + 162.0 * tf2 * nuf2; x7poly = -61.0 - 662.0 * tf2 - 1320.0 * tf4 - 720.0 * (tf4 * tf2); x8poly = 1385.0 + 3633.0 * tf2 + 4095.0 * tf4 + 1575 * (tf4 * tf2); // Calculate latitude philambda[0] = phif + x2frac * x2poly * (x * x) + x4frac * x4poly * Math.pow (x, 4.0) + x6frac * x6poly * Math.pow (x, 6.0) + x8frac * x8poly * Math.pow (x, 8.0); // Calculate longitude philambda[1] = lambda0 + x1frac * x + x3frac * x3poly * Math.pow (x, 3.0) + x5frac * x5poly * Math.pow (x, 5.0) + x7frac * x7poly * Math.pow (x, 7.0); return; } // // LatLonToUTMXY // // Converts a latitude/longitude pair to x and y coordinates in the // Universal Transverse Mercator projection. // // Inputs: // lat - Latitude of the point, in radians. // lon - Longitude of the point, in radians. // zone - UTM zone to be used for calculating values for x and y. // If zone is less than 1 or greater than 60, the routine // will determine the appropriate zone from the value of lon. // // Outputs: // xy - A 2-element array where the UTM x and y values will be stored. // // Returns: // The UTM zone used for calculating the values of x and y. // // function LatLonToUTMXY (lat, lon, zone, xy) { MapLatLonToXY (lat, lon, UTMCentralMeridian (zone), xy); // Adjust easting and northing for UTM system. xy[0] = xy[0] * UTMScaleFactor + 500000.0; xy[1] = xy[1] * UTMScaleFactor; if (xy[1] < 0.0) xy[1] = xy[1] + 10000000.0; return zone; } // UTMXYToLatLon // // Converts x and y coordinates in the Universal Transverse Mercator // projection to a latitude/longitude pair. // // Inputs: // x - The easting of the point, in meters. // y - The northing of the point, in meters. // zone - The UTM zone in which the point lies. // southhemi - True if the point is in the southern hemisphere; // false otherwise. // // Outputs: // latlon - A 2-element array containing the latitude and // longitude of the point, in radians. // // Returns: // The function does not return a value. // // function UTMXYToLatLon (x, y, zone, southhemi, latlon) { var cmeridian; x -= 500000.0; x /= UTMScaleFactor; // If in southern hemisphere, adjust y accordingly. if (southhemi) y -= 10000000.0; y /= UTMScaleFactor; cmeridian = UTMCentralMeridian (zone); MapXYToLatLon (x, y, cmeridian, latlon); return; } /// End functions from this site: /// http://home.hiwaay.net/~taylorc/toolbox/geography/geoutm.html //////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// /// /// FWJ functions - ripped and/or modified from functions above /// // // toUTM // // Called by btnConvertCoord_OnClick. // // function toUTM () { var xy = new Array(2); if (isNaN (parseFloat (document.searchFormCoordinate.param1.value))) { alert ("Tast inn en gyldig longitude verdi i X feltet."); return false; } lon = parseFloat (document.searchFormCoordinate.param1.value); if ((lon < -180.0) || (180.0 <= lon)) { alert ("Longitude verdien du tastet inn er feil. Tast inn en verdi mellom -180 og 180)."); return false; } if (isNaN (parseFloat (document.searchFormCoordinate.param2.value))) { alert ("Tast inn en gyldig latitude verdi i Y feltet."); return false; } lat = parseFloat (document.searchFormCoordinate.param2.value); if ((lat < -90.0) || (90.0 < lat)) { alert ("Latitude verdien du tastet inn er feil. Tast inn en verdi mellom -90 og 90)."); return false; } // Computes the UTM zone if it aint set by tha user. //zone = Math.floor ((lon + 180.0) / 6) + 1; // Zone is set by me (Avinet) zone = 33; zone = LatLonToUTMXY (DegToRad (lat), DegToRad (lon), zone, xy); // Do something with the coords = array xy[] return true; } // // toGeographic // // Called by btnConvertCoord_OnClick. // // function toGeographic () { latlon = new Array(2); var x, y, zone, southhemi; if (isNaN (parseFloat (document.frmConverter.txtX.value))) { alert ("Tast inn en gyldig øst verdi i X feltet."); return false; } x = parseFloat (document.frmConverter.txtX.value); if (isNaN (parseFloat (document.frmConverter.txtY.value))) { alert ("Tast inn en gyldig nord verdi i Y feltet."); return false; } y = parseFloat (document.frmConverter.txtY.value); if (isNaN (parseInt (document.frmConverter.txtZone.value))) { alert ("Tast inn en gyldig UTM sone i UTM-sone feltet."); return false; } zone = parseFloat (document.frmConverter.txtZone.value); if ((zone < 1) || (60 < zone)) { alert ("UTM-sonen er ugyldig. Verdien skal være mellom 1 og 60."); return false; } if (document.frmConverter.rbtnHemisphere[1].checked == true) southhemi = true; else southhemi = false; UTMXYToLatLon (x, y, zone, southhemi, latlon); // Do something with the coords = array latlon[] return true; } // // UTMZone2UTMZone // // Converts between UTM zones // The "hard way": First to LatLon, then back to UTM in desired zone....phuuh.. // function UTMZone2UTMZONE(x, y, zone, hemisphere) { // To LatLon latlon = new Array(2); var x, y, zone, southhemi, tempX, tempY; if (hemisphere == 's') southhemi = true; else southhemi = false; UTMXYToLatLon (x, y, zone, southhemi, latlon); tempLat = RadToDeg (latlon[0]); tempLon = RadToDeg (latlon[1]); // To UTM in desired zone var xy = new Array(2); if (isNaN (parseFloat (tempLon))) { alert ("Tast inn en gyldig longitude verdi i N feltet."); return false; } lon = parseFloat (tempLon); if ((lon < -180.0) || (180.0 <= lon)) { alert ("Longitude verdien du tastet inn er feil. Tast inn en verdi mellom -180 og 180)."); return false; } if (isNaN (parseFloat (tempLat))) { alert ("Tast inn en gyldig latitude verdi i E feltet."); return false; } lat = parseFloat (tempLat); if ((lat < -90.0) || (90.0 < lat)) { alert ("Latitude verdien du tastet inn er feil. Tast inn en verdi mellom -90 og 90)."); return false; } // Computes the UTM zone if it aint set by tha user. //zone = Math.floor ((lon + 180.0) / 6) + 1; // Zone is set by me (Avinet) zone = 33; zone = LatLonToUTMXY (DegToRad (lat), DegToRad (lon), zone, xy); tempX = Math.round(xy[0]); tempY = Math.round(xy[1]); // Do the zoom... var geObject = tempX + ',' + tempY; parent.map.setCoordinateSubmitObject(geObject,20000); } // // btnConvertCoord_OnClick // // Called when the btnConvertCoord button is clicked. // Desides if conversion is necessary. It aint necessary if the coords are in UTM33 // function btnConvertCoord_OnClick () { var strCoordType = document.searchFormCoordinate.txtCoordType.value if (strCoordType == 'll') { // To do if Longitude/Latitude // convert.. var xy = new Array(2); lat = document.searchFormCoordinate.param1.value; lon = document.searchFormCoordinate.param2.value; // Converts from dmm to decimaldeegres. witch is needed to convert to UTM lat = dmm2dd(lat); lon = dmm2dd(lon); // Computes the UTM zone if it aint set by tha user. //zone = Math.floor ((lon + 180.0) / 6) + 1; // Zone is set by me (Avinet) zone = 33; zone = LatLonToUTMXY (DegToRad (lat), DegToRad (lon), zone, xy); tempX = Math.round(xy[0]); tempY = Math.round(xy[1]); // Do the zoom... var geObject = tempX + ',' + tempY; parent.map.setCoordinateSubmitObject(geObject,20000); } else if (strCoordType == 'utm31'){ // To do if UTM31 UTMZone2UTMZONE(window.document.searchFormCoordinate.param2.value, window.document.searchFormCoordinate.param1.value, 31, 'n'); } else if (strCoordType == 'utm32'){ // To do if UTM32 UTMZone2UTMZONE(window.document.searchFormCoordinate.param2.value, window.document.searchFormCoordinate.param1.value, 32, 'n'); } else if (strCoordType == 'utm33'){ // To do if UTM33 - No convertion --> map = UTM33 var geObject = window.document.searchFormCoordinate.param2.value + ',' + window.document.searchFormCoordinate.param1.value; parent.map.setCoordinateSubmitObject(geObject,20000); } else if (strCoordType == 'utm34'){ // To do if UTM34 UTMZone2UTMZONE(window.document.searchFormCoordinate.param2.value, window.document.searchFormCoordinate.param1.value, 34, 'n'); } else if (strCoordType == 'utm35'){ // To do if UTM35 UTMZone2UTMZONE(window.document.searchFormCoordinate.param2.value, window.document.searchFormCoordinate.param1.value, 35, 'n'); } else if (strCoordType == 'utm36'){ // To do if UTM36 UTMZone2UTMZONE(window.document.searchFormCoordinate.param2.value, window.document.searchFormCoordinate.param1.value, 36, 'n'); } } // // statusbarConvertCoord // // Called by KSdrawCoordsInStatusBar. // Converts UTM33 to Lat/Lon // function statusbarConvertCoord (arrXY) { latlon = new Array(2); var x, y, zone, southhemi, dd; x = arrXY[0]; y = arrXY[1]; // Zone is set by me (Avinet) zone = 10; UTMXYToLatLon (x, y, zone, southhemi, latlon); arrXY[0] = RadToDeg (latlon[0]); arrXY[1] = RadToDeg (latlon[1]); // Converts from DD to DMM (decimal degrees to degress,minutes,decimalminutes) dd = arrXY[0].toString(); if (dd > 0){ arrXY[0] = dd2dmm(dd); } dd = arrXY[1].toString(); if (dd > 0){ arrXY[1] = dd2dmm(dd); } // returns answer return(arrXY); } // // dd2dmm // // Converts decimal degrees to degrees, minutes, decimalminutes // function dd2dmm(dd) { var ddArray = dd.split("."); d = ddArray[0]; mm = "0." + ddArray[1]; mm = mm * 60 //round mm to 4 decimals mm = Math.round(mm * 10000)/10000 dd = d + "-" + mm; return(dd); } // // dmm2dd // // Converts degrees, minutes, decimalminutes to decimal degrees to // function dmm2dd(dmm) { // 59-43.783 var ddArray = dmm.split("-"); degrees = ddArray[0]; decimal = ddArray[1] / 60; decimal = decimal + '' decimal = decimal.substring(2,8); dd = parseFloat(degrees) + "." + decimal; return(dd); }