League\Geotools\Convert\Convert::toUniversalTransverseMercator PHP Method

    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);
    }

 /**
  * Returns a Universal Transverse Mercator projection representation of the coordinate in meters
  *
  * @return StringLiteral
  */
 public function toUniversalTransverseMercator()
 {
     $coordinate = static::getBaseCoordinate($this);
     $convert = new Convert($coordinate);
     $utm = $convert->toUniversalTransverseMercator();
     return new StringLiteral($utm);
 }