/** * {@inheritDoc} */ public function toUniversalTransverseMercator() { // Convert decimal degrees coordinates to radian. $phi = deg2rad($this->coordinates->getLatitude()); $lambda = deg2rad($this->coordinates->getLongitude()); // Compute the zone UTM zone. $zone = (int) (($this->coordinates->getLongitude() + 180.0) / 6) + 1; // Special zone for South Norway. // On the southwest coast of Norway, grid zone 32V (9° of longitude in width) is extended further west, // and grid zone 31V (3° of longitude in width) is correspondingly shrunk to cover only open water. if ($this->coordinates->getLatitude() >= 56.0 && $this->coordinates->getLatitude() < 64.0 && $this->coordinates->getLongitude() >= 3.0 && $this->coordinates->getLongitude() < 12.0) { $zone = 32; } // Special zone for Svalbard. // In the region around Svalbard, the four grid zones 31X (9° of longitude in width), // 33X (12° of longitude in width), 35X (12° of longitude in width), and 37X (9° of longitude in width) // are extended to cover what would otherwise have been covered by the seven grid zones 31X to 37X. // The three grid zones 32X, 34X and 36X are not used. if ($this->coordinates->getLatitude() >= 72.0 && $this->coordinates->getLatitude() < 84.0) { if ($this->coordinates->getLongitude() >= 0.0 && $this->coordinates->getLongitude() < 9.0) { $zone = 31; } elseif ($this->coordinates->getLongitude() >= 9.0 && $this->coordinates->getLongitude() < 21.0) { $zone = 33; } elseif ($this->coordinates->getLongitude() >= 21.0 && $this->coordinates->getLongitude() < 33.0) { $zone = 35; } elseif ($this->coordinates->getLongitude() >= 33.0 && $this->coordinates->getLongitude() < 42.0) { $zone = 37; } } // Determines the central meridian for the given UTM zone. $lambda0 = deg2rad(-183.0 + $zone * 6.0); $ep2 = (pow($this->coordinates->getEllipsoid()->getA(), 2.0) - pow($this->coordinates->getEllipsoid()->getB(), 2.0)) / pow($this->coordinates->getEllipsoid()->getB(), 2.0); $nu2 = $ep2 * pow(cos($phi), 2.0); $nN = pow($this->coordinates->getEllipsoid()->getA(), 2.0) / ($this->coordinates->getEllipsoid()->getB() * sqrt(1 + $nu2)); $t = tan($phi); $t2 = $t * $t; $l = $lambda - $lambda0; $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. $easting = $nN * cos($phi) * $l + $nN / 6.0 * pow(cos($phi), 3.0) * $l3coef * pow($l, 3.0) + $nN / 120.0 * pow(cos($phi), 5.0) * $l5coef * pow($l, 5.0) + $nN / 5040.0 * pow(cos($phi), 7.0) * $l7coef * pow($l, 7.0); // Calculate northing. $n = ($this->coordinates->getEllipsoid()->getA() - $this->coordinates->getEllipsoid()->getB()) / ($this->coordinates->getEllipsoid()->getA() + $this->coordinates->getEllipsoid()->getB()); $alpha = ($this->coordinates->getEllipsoid()->getA() + $this->coordinates->getEllipsoid()->getB()) / 2.0 * (1.0 + pow($n, 2.0) / 4.0 + pow($n, 4.0) / 64.0); $beta = -3.0 * $n / 2.0 + 9.0 * pow($n, 3.0) / 16.0 + -3.0 * pow($n, 5.0) / 32.0; $gamma = 15.0 * pow($n, 2.0) / 16.0 + -15.0 * pow($n, 4.0) / 32.0; $delta = -35.0 * pow($n, 3.0) / 48.0 + 105.0 * pow($n, 5.0) / 256.0; $epsilon = 315.0 * pow($n, 4.0) / 512.0; $northing = $alpha * ($phi + $beta * sin(2.0 * $phi) + $gamma * sin(4.0 * $phi) + $delta * sin(6.0 * $phi) + $epsilon * sin(8.0 * $phi)) + $t / 2.0 * $nN * pow(cos($phi), 2.0) * pow($l, 2.0) + $t / 24.0 * $nN * pow(cos($phi), 4.0) * $l4coef * pow($l, 4.0) + $t / 720.0 * $nN * pow(cos($phi), 6.0) * $l6coef * pow($l, 6.0) + $t / 40320.0 * $nN * pow(cos($phi), 8.0) * $l8coef * pow($l, 8.0); // Adjust easting and northing for UTM system. $easting = $easting * AbstractGeotools::UTM_SCALE_FACTOR + 500000.0; $northing = $northing * AbstractGeotools::UTM_SCALE_FACTOR; if ($northing < 0.0) { $northing += 10000000.0; } return sprintf('%d%s %d %d', $zone, $this->latitudeBands[(int) ($this->coordinates->getLatitude() + 80) / 8], $easting, $northing); }
/** * Check if coordinates have the same ellipsoid. * * @param CoordinateInterface $a A coordinate. * @param CoordinateInterface $b A coordinate. * * @throws NotMatchingEllipsoidException */ public static function checkCoordinatesEllipsoid(CoordinateInterface $a, CoordinateInterface $b) { if ($a->getEllipsoid() != $b->getEllipsoid()) { throw new NotMatchingEllipsoidException('The ellipsoids for both coordinates must match !'); } }