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<?php |
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/** |
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* PHPCoord |
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* @package PHPCoord |
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* @author Jonathan Stott |
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* @author Doug Wright |
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*/ |
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namespace PHPCoord; |
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/** |
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* Abstract class representing a Tranverse Mercator Projection |
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* @author Doug Wright |
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* @package PHPCoord |
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*/ |
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abstract class TransverseMercator |
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{ |
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/** |
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* X |
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* @var float |
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*/ |
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protected $x; |
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/** |
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* Y |
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* @var float |
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*/ |
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protected $y; |
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/** |
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* h |
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* @var float |
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*/ |
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protected $h; |
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/** |
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* Reference ellipsoid used in this datum |
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* @var RefEll |
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*/ |
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protected $refEll; |
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/** |
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* Cartesian constructor. |
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* @param float $x |
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* @param float $y |
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* @param float $h |
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* @param RefEll $refEll |
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*/ |
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public function __construct($x, $y, $h, RefEll $refEll) |
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{ |
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$this->setX($x); |
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$this->setY($y); |
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$this->setH($h); |
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$this->setRefEll($refEll); |
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} |
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/** |
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* String version of coordinate. |
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* @return string |
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*/ |
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public function __toString() |
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{ |
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return "({$this->x}, {$this->y}, {$this->h})"; |
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} |
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/** |
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* @return float |
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*/ |
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public function getX() |
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{ |
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return $this->x; |
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} |
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/** |
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* @param float $x |
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*/ |
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public function setX($x) |
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{ |
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$this->x = $x; |
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} |
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/** |
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* @return float |
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*/ |
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public function getY() |
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{ |
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return $this->y; |
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} |
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/** |
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* @param float $y |
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*/ |
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public function setY($y) |
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{ |
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$this->y = $y; |
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} |
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/** |
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* @return float |
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*/ |
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public function getH() |
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{ |
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return $this->h; |
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} |
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/** |
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* @param float $h |
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*/ |
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public function setH($h) |
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{ |
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$this->h = $h; |
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} |
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/** |
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* @return RefEll |
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*/ |
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public function getRefEll() |
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{ |
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return $this->refEll; |
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} |
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/** |
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* @param RefEll $refEll |
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*/ |
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public function setRefEll(RefEll $refEll) |
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{ |
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$this->refEll = $refEll; |
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} |
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/** |
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* Reference ellipsoid used by this projection |
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* @return RefEll |
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*/ |
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abstract public function getReferenceEllipsoid(); |
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/** |
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* Scale factor at central meridian |
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* @return float |
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*/ |
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abstract public function getScaleFactor(); |
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/** |
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* Northing of true origin |
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* @return float |
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*/ |
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abstract public function getOriginNorthing(); |
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/** |
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* Easting of true origin |
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* @return float |
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*/ |
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abstract public function getOriginEasting(); |
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/** |
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* Latitude of true origin |
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* @return float |
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*/ |
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abstract public function getOriginLatitude(); |
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/** |
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* Longitude of true origin |
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* @return float |
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*/ |
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abstract public function getOriginLongitude(); |
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/** |
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* Convert this grid reference into a latitude and longitude |
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* Formula for transformation is taken from OS document |
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* "A Guide to Coordinate Systems in Great Britain" |
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* |
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* @param float $N map coordinate (northing) of point to convert |
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* @param float $E map coordinate (easting) of point to convert |
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* @param float $N0 map coordinate (northing) of true origin |
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* @param float $E0 map coordinate (easting) of true origin |
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* @param float $phi0 map coordinate (latitude) of true origin |
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* @param float $lambda0 map coordinate (longitude) of true origin and central meridian |
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* @return LatLng |
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*/ |
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public function convertToLatitudeLongitude($N, $E, $N0, $E0, $phi0, $lambda0) |
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{ |
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$phi0 = deg2rad($phi0); |
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$lambda0 = deg2rad($lambda0); |
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$refEll = $this->getReferenceEllipsoid(); |
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$F0 = $this->getScaleFactor(); |
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$a = $refEll->getMaj(); |
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$b = $refEll->getMin(); |
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$eSquared = $refEll->getEcc(); |
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$n = ($a - $b) / ($a + $b); |
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$phiPrime = (($N - $N0) / ($a * $F0)) + $phi0; |
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do { |
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$M = |
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($b * $F0) |
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* (((1 + $n + ((5 / 4) * $n * $n) + ((5 / 4) * $n * $n * $n)) |
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* ($phiPrime - $phi0)) |
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- (((3 * $n) + (3 * $n * $n) + ((21 / 8) * $n * $n * $n)) |
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* sin($phiPrime - $phi0) |
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* cos($phiPrime + $phi0)) |
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+ ((((15 / 8) * $n * $n) + ((15 / 8) * $n * $n * $n)) |
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* sin(2 * ($phiPrime - $phi0)) |
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* cos(2 * ($phiPrime + $phi0))) |
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- (((35 / 24) * $n * $n * $n) |
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* sin(3 * ($phiPrime - $phi0)) |
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* cos(3 * ($phiPrime + $phi0)))); |
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$phiPrime += ($N - $N0 - $M) / ($a * $F0); |
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} while (($N - $N0 - $M) >= 0.001); |
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$v = $a * $F0 * pow(1 - $eSquared * pow(sin($phiPrime), 2), -0.5); |
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$rho = |
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$a |
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* $F0 |
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* (1 - $eSquared) |
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* pow(1 - $eSquared * pow(sin($phiPrime), 2), -1.5); |
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$etaSquared = ($v / $rho) - 1; |
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$VII = tan($phiPrime) / (2 * $rho * $v); |
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$VIII = |
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(tan($phiPrime) / (24 * $rho * pow($v, 3))) |
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* (5 |
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+ (3 * pow(tan($phiPrime), 2)) |
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+ $etaSquared |
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- (9 * pow(tan($phiPrime), 2) * $etaSquared)); |
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$IX = |
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(tan($phiPrime) / (720 * $rho * pow($v, 5))) |
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* (61 |
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+ (90 * pow(tan($phiPrime), 2)) |
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+ (45 * pow(tan($phiPrime), 2) * pow(tan($phiPrime), 2))); |
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$X = (1 / cos($phiPrime)) / $v; |
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$XI = |
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((1 / cos($phiPrime)) / (6 * $v * $v * $v)) |
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* (($v / $rho) + (2 * pow(tan($phiPrime), 2))); |
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$XII = |
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((1 / cos($phiPrime)) / (120 * pow($v, 5))) |
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* (5 |
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+ (28 * pow(tan($phiPrime), 2)) |
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+ (24 * pow(tan($phiPrime), 4))); |
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$XIIA = |
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((1 / cos($phiPrime)) / (5040 * pow($v, 7))) |
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* (61 |
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+ (662 * pow(tan($phiPrime), 2)) |
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+ (1320 * pow(tan($phiPrime), 4)) |
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+ (720 |
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* pow(tan($phiPrime), 6))); |
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$phi = |
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$phiPrime |
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- ($VII * pow($E - $E0, 2)) |
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+ ($VIII * pow($E - $E0, 4)) |
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- ($IX * pow($E - $E0, 6)); |
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$lambda = |
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$lambda0 |
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+ ($X * ($E - $E0)) |
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- ($XI * pow($E - $E0, 3)) |
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+ ($XII * pow($E - $E0, 5)) |
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- ($XIIA * pow($E - $E0, 7)); |
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return new LatLng(rad2deg($phi), rad2deg($lambda), 0, $refEll); |
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} |
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} |
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