lat = $lat; $this->lng = $lng; } /** * Return a string representation of this LatLng object * * @return a string representation of this LatLng object */ function toString() { return "(" . $this->lat . ", " . $this->lng . ")"; } /** * Calculate the surface distance between this LatLng object and the one * passed in as a parameter. * * @param to a LatLng object to measure the surface distance to * @return the surface distance */ function distance($to) { $er = 6366.707; $latFrom = deg2rad($this->lat); $latTo = deg2rad($to->lat); $lngFrom = deg2rad($this->lng); $lngTo = deg2rad($to->lng); $x1 = $er * cos($lngFrom) * sin($latFrom); $y1 = $er * sin($lngFrom) * sin($latFrom); $z1 = $er * cos($latFrom); $x2 = $er * cos($lngTo) * sin($latTo); $y2 = $er * sin($lngTo) * sin($latTo); $z2 = $er * cos($latTo); $d = acos(sin($latFrom)*sin($latTo) + cos($latFrom)*cos($latTo)*cos($lngTo-$lngFrom)) * $er; return $d; } /** * Convert this LatLng object from OSGB36 datum to WGS84 datum. */ function OSGB36ToWGS84() { $airy1830 = new RefEll(6377563.396, 6356256.909); $a = $airy1830->maj; $b = $airy1830->min; $eSquared = $airy1830->ecc; $phi = deg2rad($this->lat); $lambda = deg2rad($this->lng); $v = $a / (sqrt(1 - $eSquared * sinSquared($phi))); $H = 0; // height $x = ($v + $H) * cos($phi) * cos($lambda); $y = ($v + $H) * cos($phi) * sin($lambda); $z = ((1 - $eSquared) * $v + $H) * sin($phi); $tx = 446.448; $ty = -124.157; $tz = 542.060; $s = -0.0000204894; $rx = deg2rad( 0.00004172222); $ry = deg2rad( 0.00006861111); $rz = deg2rad( 0.00023391666); $xB = $tx + ($x * (1 + $s)) + (-$rx * $y) + ($ry * $z); $yB = $ty + ($rz * $x) + ($y * (1 + $s)) + (-$rx * $z); $zB = $tz + (-$ry * $x) + ($rx * $y) + ($z * (1 + $s)); $wgs84 = new RefEll(6378137.000, 6356752.3141); $a = $wgs84->maj; $b = $wgs84->min; $eSquared = $wgs84->ecc; $lambdaB = rad2deg(atan($yB / $xB)); $p = sqrt(($xB * $xB) + ($yB * $yB)); $phiN = atan($zB / ($p * (1 - $eSquared))); for ($i = 1; $i < 10; $i++) { $v = $a / (sqrt(1 - $eSquared * sinSquared($phiN))); $phiN1 = atan(($zB + ($eSquared * $v * sin($phiN))) / $p); $phiN = $phiN1; } $phiB = rad2deg($phiN); $this->lat = $phiB; $this->lng = $lambdaB; } /** * Convert this LatLng object from WGS84 datum to OSGB36 datum. */ function WGS84ToOSGB36() { $wgs84 = new RefEll(6378137.000, 6356752.3141); $a = $wgs84->maj; $b = $wgs84->min; $eSquared = $wgs84->ecc; $phi = deg2rad($this->lat); $lambda = deg2rad($this->lng); $v = $a / (sqrt(1 - $eSquared * sinSquared($phi))); $H = 0; // height $x = ($v + $H) * cos($phi) * cos($lambda); $y = ($v + $H) * cos($phi) * sin($lambda); $z = ((1 - $eSquared) * $v + $H) * sin($phi); $tx = -446.448; $ty = 124.157; $tz = -542.060; $s = 0.0000204894; $rx = deg2rad(-0.00004172222); $ry = deg2rad(-0.00006861111); $rz = deg2rad(-0.00023391666); $xB = $tx + ($x * (1 + $s)) + (-$rx * $y) + ($ry * $z); $yB = $ty + ($rz * $x) + ($y * (1 + $s)) + (-$rx * $z); $zB = $tz + (-$ry * $x) + ($rx * $y) + ($z * (1 + $s)); $airy1830 = new RefEll(6377563.396, 6356256.909); $a = $airy1830->maj; $b = $airy1830->min; $eSquared = $airy1830->ecc; $lambdaB = rad2deg(atan($yB / $xB)); $p = sqrt(($xB * $xB) + ($yB * $yB)); $phiN = atan($zB / ($p * (1 - $eSquared))); for ($i = 1; $i < 10; $i++) { $v = $a / (sqrt(1 - $eSquared * sinSquared($phiN))); $phiN1 = atan(($zB + ($eSquared * $v * sin($phiN))) / $p); $phiN = $phiN1; } $phiB = rad2deg($phiN); $this->lat = $phiB; $this->lng = $lambdaB; } /** * Convert this LatLng object into an OSGB grid reference. Note that this * function does not take into account the bounds of the OSGB grid - * beyond the bounds of the OSGB grid, the resulting OSRef object has no * meaning * * @return the converted OSGB grid reference */ function toOSRef() { $airy1830 = new RefEll(6377563.396, 6356256.909); $OSGB_F0 = 0.9996012717; $N0 = -100000.0; $E0 = 400000.0; $phi0 = deg2rad(49.0); $lambda0 = deg2rad(-2.0); $a = $airy1830->maj; $b = $airy1830->min; $eSquared = $airy1830->ecc; $phi = deg2rad($this->lat); $lambda = deg2rad($this->lng); $E = 0.0; $N = 0.0; $n = ($a - $b) / ($a + $b); $v = $a * $OSGB_F0 * pow(1.0 - $eSquared * sinSquared($phi), -0.5); $rho = $a * $OSGB_F0 * (1.0 - $eSquared) * pow(1.0 - $eSquared * sinSquared($phi), -1.5); $etaSquared = ($v / $rho) - 1.0; $M = ($b * $OSGB_F0) * (((1 + $n + ((5.0 / 4.0) * $n * $n) + ((5.0 / 4.0) * $n * $n * $n)) * ($phi - $phi0)) - (((3 * $n) + (3 * $n * $n) + ((21.0 / 8.0) * $n * $n * $n)) * sin($phi - $phi0) * cos($phi + $phi0)) + ((((15.0 / 8.0) * $n * $n) + ((15.0 / 8.0) * $n * $n * $n)) * sin(2.0 * ($phi - $phi0)) * cos(2.0 * ($phi + $phi0))) - (((35.0 / 24.0) * $n * $n * $n) * sin(3.0 * ($phi - $phi0)) * cos(3.0 * ($phi + $phi0)))); $I = $M + $N0; $II = ($v / 2.0) * sin($phi) * cos($phi); $III = ($v / 24.0) * sin($phi) * pow(cos($phi), 3.0) * (5.0 - tanSquared($phi) + (9.0 * $etaSquared)); $IIIA = ($v / 720.0) * sin($phi) * pow(cos($phi), 5.0) * (61.0 - (58.0 * tanSquared($phi)) + pow(tan($phi), 4.0)); $IV = $v * cos($phi); $V = ($v / 6.0) * pow(cos($phi), 3.0) * (($v / $rho) - tanSquared($phi)); $VI = ($v / 120.0) * pow(cos($phi), 5.0) * (5.0 - (18.0 * tanSquared($phi)) + (pow(tan($phi), 4.0)) + (14 * $etaSquared) - (58 * tanSquared($phi) * $etaSquared)); $N = $I + ($II * pow($lambda - $lambda0, 2.0)) + ($III * pow($lambda - $lambda0, 4.0)) + ($IIIA * pow($lambda - $lambda0, 6.0)); $E = $E0 + ($IV * ($lambda - $lambda0)) + ($V * pow($lambda - $lambda0, 3.0)) + ($VI * pow($lambda - $lambda0, 5.0)); return new OSRef($E, $N); } /** * Convert a latitude and longitude to an UTM reference * * @return the converted UTM reference */ function toUTMRef() { $wgs84 = new RefEll(6378137, 6356752.314); $UTM_F0 = 0.9996; $a = $wgs84->maj; $eSquared = $wgs84->ecc; $longitude = $this->lng; $latitude = $this->lat; $latitudeRad = $latitude * (pi() / 180.0); $longitudeRad = $longitude * (pi() / 180.0); $longitudeZone = (int) (($longitude + 180.0) / 6.0) + 1; // Special zone for Norway if ($latitude >= 56.0 && $latitude < 64.0 && $longitude >= 3.0 && $longitude < 12.0) { $longitudeZone = 32; } // Special zones for Svalbard if ($latitude >= 72.0 && $latitude < 84.0) { if ($longitude >= 0.0 && $longitude < 9.0) { $longitudeZone = 31; } else if ($longitude >= 9.0 && $longitude < 21.0) { $longitudeZone = 33; } else if ($longitude >= 21.0 && $longitude < 33.0) { $longitudeZone = 35; } else if ($longitude >= 33.0 && $longitude < 42.0) { $longitudeZone = 37; } } $longitudeOrigin = ($longitudeZone - 1) * 6 - 180 + 3; $longitudeOriginRad = $longitudeOrigin * (pi() / 180.0); $UTMZone = getUTMLatitudeZoneLetter($latitude); $ePrimeSquared = ($eSquared) / (1 - $eSquared); $n = $a / sqrt(1 - $eSquared * sin($latitudeRad) * sin($latitudeRad)); $t = tan($latitudeRad) * tan($latitudeRad); $c = $ePrimeSquared * cos($latitudeRad) * cos($latitudeRad); $A = cos($latitudeRad) * ($longitudeRad - $longitudeOriginRad); $M = $a * ((1 - $eSquared / 4 - 3 * $eSquared * $eSquared / 64 - 5 * $eSquared * $eSquared * $eSquared / 256) * $latitudeRad - (3 * $eSquared / 8 + 3 * $eSquared * $eSquared / 32 + 45 * $eSquared * $eSquared * $eSquared / 1024) * sin(2 * $latitudeRad) + (15 * $eSquared * $eSquared / 256 + 45 * $eSquared * $eSquared * $eSquared / 1024) * sin(4 * $latitudeRad) - (35 * $eSquared * $eSquared * $eSquared / 3072) * sin(6 * $latitudeRad)); $UTMEasting = (double) ($UTM_F0 * $n * ($A + (1 - $t + $c) * pow($A, 3.0) / 6 + (5 - 18 * $t + $t * $t + 72 * $c - 58 * $ePrimeSquared) * pow($A, 5.0) / 120) + 500000.0); $UTMNorthing = (double) ($UTM_F0 * ($M + $n * tan($latitudeRad) * ($A * $A / 2 + (5 - $t + (9 * $c) + (4 * $c * $c)) * pow($A, 4.0) / 24 + (61 - (58 * $t) + ($t * $t) + (600 * $c) - (330 * $ePrimeSquared)) * pow($A, 6.0) / 720))); // Adjust for the southern hemisphere if ($latitude < 0) { $UTMNorthing += 10000000.0; } return new UTMRef($UTMEasting, $UTMNorthing, $UTMZone, $longitudeZone); } } // =================================================================== OSRef // References given with OSRef are accurate to 1m. class OSRef { var $easting; var $northing; /** * Create a new OSRef object representing an OSGB grid reference. Note * that the parameters for this constructor require eastings and * northings with 1m accuracy and need to be absolute with respect to * the whole of the British Grid. For example, to create an OSRef * object from the six-figure grid reference TG514131, the easting would * be 651400 and the northing would be 313100. * * Grid references with accuracy greater than 1m can be represented * using floating point values for the easting and northing. For example, * a value representing an easting or northing accurate to 1mm would be * given as 651400.0001. * * @param easting the easting of the reference (with 1m accuracy) * @param northing the northing of the reference (with 1m accuracy) */ function OSRef($easting, $northing) { $this->easting = $easting; $this->northing = $northing; } /** * Convert this grid reference into a string showing the exact values * of the easting and northing. * * @return */ function toString() { return "(" . $this->easting . ", " . $this->northing . ")"; } /** * Convert this grid reference into a string using a standard six-figure * grid reference including the two-character designation for the 100km * square. e.g. TG514131. * * @return */ function toSixFigureString() { $hundredkmE = floor($this->easting / 100000); $hundredkmN = floor($this->northing / 100000); $firstLetter = ""; if ($hundredkmN < 5) { if ($hundredkmE < 5) { $firstLetter = "S"; } else { $firstLetter = "T"; } } else if ($hundredkmN < 10) { if ($hundredkmE < 5) { $firstLetter = "N"; } else { $firstLetter = "O"; } } else { $firstLetter = "H"; } $secondLetter = ""; $index = 65 + ((4 - ($hundredkmN % 5)) * 5) + ($hundredkmE % 5); $ti = $index; if ($index >= 73) $index++; $secondLetter = chr($index); $e = floor(($this->easting - (100000 * $hundredkmE)) / 100); $n = floor(($this->northing - (100000 * $hundredkmN)) / 100); $es = $e; if ($e < 100) $es = "0$es"; if ($e < 10) $es = "0$es"; $ns = $n; if ($n < 100) $ns = "0$ns"; if ($n < 10) $ns = "0$ns"; return $firstLetter . $secondLetter . $es . $ns; } /** * Convert this grid reference into a latitude and longitude * * @return */ function toLatLng() { $airy1830 = new RefEll(6377563.396, 6356256.909); $OSGB_F0 = 0.9996012717; $N0 = -100000.0; $E0 = 400000.0; $phi0 = deg2rad(49.0); $lambda0 = deg2rad(-2.0); $a = $airy1830->maj; $b = $airy1830->min; $eSquared = $airy1830->ecc; $phi = 0.0; $lambda = 0.0; $E = $this->easting; $N = $this->northing; $n = ($a - $b) / ($a + $b); $M = 0.0; $phiPrime = (($N - $N0) / ($a * $OSGB_F0)) + $phi0; do { $M = ($b * $OSGB_F0) * (((1 + $n + ((5.0 / 4.0) * $n * $n) + ((5.0 / 4.0) * $n * $n * $n)) * ($phiPrime - $phi0)) - (((3 * $n) + (3 * $n * $n) + ((21.0 / 8.0) * $n * $n * $n)) * sin($phiPrime - $phi0) * cos($phiPrime + $phi0)) + ((((15.0 / 8.0) * $n * $n) + ((15.0 / 8.0) * $n * $n * $n)) * sin(2.0 * ($phiPrime - $phi0)) * cos(2.0 * ($phiPrime + $phi0))) - (((35.0 / 24.0) * $n * $n * $n) * sin(3.0 * ($phiPrime - $phi0)) * cos(3.0 * ($phiPrime + $phi0)))); $phiPrime += ($N - $N0 - $M) / ($a * $OSGB_F0); } while (($N - $N0 - $M) >= 0.001); $v = $a * $OSGB_F0 * pow(1.0 - $eSquared * sinSquared($phiPrime), -0.5); $rho = $a * $OSGB_F0 * (1.0 - $eSquared) * pow(1.0 - $eSquared * sinSquared($phiPrime), -1.5); $etaSquared = ($v / $rho) - 1.0; $VII = tan($phiPrime) / (2 * $rho * $v); $VIII = (tan($phiPrime) / (24.0 * $rho * pow($v, 3.0))) * (5.0 + (3.0 * tanSquared($phiPrime)) + $etaSquared - (9.0 * tanSquared($phiPrime) * $etaSquared)); $IX = (tan($phiPrime) / (720.0 * $rho * pow($v, 5.0))) * (61.0 + (90.0 * tanSquared($phiPrime)) + (45.0 * tanSquared($phiPrime) * tanSquared($phiPrime))); $X = sec($phiPrime) / $v; $XI = (sec($phiPrime) / (6.0 * $v * $v * $v)) * (($v / $rho) + (2 * tanSquared($phiPrime))); $XII = (sec($phiPrime) / (120.0 * pow($v, 5.0))) * (5.0 + (28.0 * tanSquared($phiPrime)) + (24.0 * tanSquared($phiPrime) * tanSquared($phiPrime))); $XIIA = (sec($phiPrime) / (5040.0 * pow($v, 7.0))) * (61.0 + (662.0 * tanSquared($phiPrime)) + (1320.0 * tanSquared($phiPrime) * tanSquared($phiPrime)) + (720.0 * tanSquared($phiPrime) * tanSquared($phiPrime) * tanSquared($phiPrime))); $phi = $phiPrime - ($VII * pow($E - $E0, 2.0)) + ($VIII * pow($E - $E0, 4.0)) - ($IX * pow($E - $E0, 6.0)); $lambda = $lambda0 + ($X * ($E - $E0)) - ($XI * pow($E - $E0, 3.0)) + ($XII * pow($E - $E0, 5.0)) - ($XIIA * pow($E - $E0, 7.0)); return new LatLng(rad2deg($phi), rad2deg($lambda)); } } // ================================================================== UTMRef class UTMRef { var $easting; var $northing; var $latZone; var $lngZone; /** * Create a new object representing a UTM reference. * * @param easting * @param northing * @param latZone * @param lngZone */ function UTMRef($easting, $northing, $latZone, $lngZone) { $this->easting = $easting; $this->northing = $northing; $this->latZone = $latZone; $this->lngZone = $lngZone; } /** * Return a string representation of this UTM reference * * @return */ function toString() { return $this->lngZone . $this->latZone . " " . $this->easting . " " . $this->northing; } /** * Convert this UTM reference to a latitude and longitude * * @return the converted latitude and longitude */ function toLatLng() { $wgs84 = new RefEll(6378137, 6356752.314); $UTM_F0 = 0.9996; $a = $wgs84->maj; $eSquared = $wgs84->ecc; $ePrimeSquared = $eSquared / (1.0 - $eSquared); $e1 = (1 - sqrt(1 - $eSquared)) / (1 + sqrt(1 - $eSquared)); $x = $this->easting - 500000.0;; $y = $this->northing; $zoneNumber = $this->lngZone; $zoneLetter = $this->latZone; $longitudeOrigin = ($zoneNumber - 1.0) * 6.0 - 180.0 + 3.0; // Correct y for southern hemisphere if ((ord($zoneLetter) - ord("N")) < 0) { $y -= 10000000.0; } $m = $y / $UTM_F0; $mu = $m / ($a * (1.0 - $eSquared / 4.0 - 3.0 * $eSquared * $eSquared / 64.0 - 5.0 * pow($eSquared, 3.0) / 256.0)); $phi1Rad = $mu + (3.0 * $e1 / 2.0 - 27.0 * pow($e1, 3.0) / 32.0) * sin(2.0 * $mu) + (21.0 * $e1 * $e1 / 16.0 - 55.0 * pow($e1, 4.0) / 32.0) * sin(4.0 * $mu) + (151.0 * pow($e1, 3.0) / 96.0) * sin(6.0 * $mu); $n = $a / sqrt(1.0 - $eSquared * sin($phi1Rad) * sin($phi1Rad)); $t = tan($phi1Rad) * tan($phi1Rad); $c = $ePrimeSquared * cos($phi1Rad) * cos($phi1Rad); $r = $a * (1.0 - $eSquared) / pow( 1.0 - $eSquared * sin($phi1Rad) * sin($phi1Rad), 1.5); $d = $x / ($n * $UTM_F0); $latitude = ( $phi1Rad - ($n * tan($phi1Rad) / $r) * ($d * $d / 2.0 - (5.0 + (3.0 * $t) + (10.0 * $c) - (4.0 * $c * $c) - (9.0 * $ePrimeSquared)) * pow($d, 4.0) / 24.0 + (61.0 + (90.0 * $t) + (298.0 * $c) + (45.0 * $t * $t) - (252.0 * $ePrimeSquared) - (3.0 * $c * $c)) * pow($d, 6.0) / 720.0)) * (180.0 / pi()); $longitude = $longitudeOrigin + ( ($d - (1.0 + 2.0 * $t + $c) * pow($d, 3.0) / 6.0 + (5.0 - (2.0 * $c) + (28.0 * $t) - (3.0 * $c * $c) + (8.0 * $ePrimeSquared) + (24.0 * $t * $t)) * pow($d, 5.0) / 120.0) / cos($phi1Rad)) * (180.0 / pi()); return new LatLng($latitude, $longitude); } } // ================================================================== RefEll class RefEll { var $maj; var $min; var $ecc; /** * Create a new RefEll object to represent a reference ellipsoid * * @param maj the major axis * @param min the minor axis */ function RefEll($maj, $min) { $this->maj = $maj; $this->min = $min; $this->ecc = (($maj * $maj) - ($min * $min)) / ($maj * $maj); } } // ================================================== Mathematical Functions function sinSquared($x) { return sin($x) * sin($x); } function cosSquared($x) { return cos($x) * cos($x); } function tanSquared($x) { return tan($x) * tan($x); } function sec($x) { return 1.0 / cos($x); } /** * Take a string formatted as a six-figure OS grid reference (e.g. * "TG514131") and return a reference to an OSRef object that represents * that grid reference. The first character must be H, N, S, O or T. * The second character can be any uppercase character from A through Z * excluding I. * * @param ref * @return * @since 2.1 */ function getOSRefFromSixFigureReference($ref) { $char1 = substr($ref, 0, 1); $char2 = substr($ref, 1, 1); $east = substr($ref, 2, 3) * 100; $north = substr($ref, 5, 3) * 100; if ($char1 == 'H') { $north += 1000000; } else if ($char1 == 'N') { $north += 500000; } else if ($char1 == 'O') { $north += 500000; $east += 500000; } else if ($char1 == 'T') { $east += 500000; } $char2ord = ord($char2); if ($char2ord > 73) $char2ord--; // Adjust for no I $nx = (($char2ord - 65) % 5) * 100000; $ny = (4 - floor(($char2ord - 65) / 5)) * 100000; return new OSRef($east + $nx, $north + $ny); } /** * Work out the UTM latitude zone from the latitude * * @param latitude * @return */ function getUTMLatitudeZoneLetter($latitude) { if ((84 >= $latitude) && ($latitude >= 72)) return "X"; else if (( 72 > $latitude) && ($latitude >= 64)) return "W"; else if (( 64 > $latitude) && ($latitude >= 56)) return "V"; else if (( 56 > $latitude) && ($latitude >= 48)) return "U"; else if (( 48 > $latitude) && ($latitude >= 40)) return "T"; else if (( 40 > $latitude) && ($latitude >= 32)) return "S"; else if (( 32 > $latitude) && ($latitude >= 24)) return "R"; else if (( 24 > $latitude) && ($latitude >= 16)) return "Q"; else if (( 16 > $latitude) && ($latitude >= 8)) return "P"; else if (( 8 > $latitude) && ($latitude >= 0)) return "N"; else if (( 0 > $latitude) && ($latitude >= -8)) return "M"; else if (( -8 > $latitude) && ($latitude >= -16)) return "L"; else if ((-16 > $latitude) && ($latitude >= -24)) return "K"; else if ((-24 > $latitude) && ($latitude >= -32)) return "J"; else if ((-32 > $latitude) && ($latitude >= -40)) return "H"; else if ((-40 > $latitude) && ($latitude >= -48)) return "G"; else if ((-48 > $latitude) && ($latitude >= -56)) return "F"; else if ((-56 > $latitude) && ($latitude >= -64)) return "E"; else if ((-64 > $latitude) && ($latitude >= -72)) return "D"; else if ((-72 > $latitude) && ($latitude >= -80)) return "C"; else return 'Z'; } ?>