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<?php
/**
* Author : Julien Moquet
*
* Inspired by Proj4php from Mike Adair madairATdmsolutions.ca
* and Richard Greenwood rich@greenwoodma$p->com
* License: LGPL as per: http://www.gnu.org/copyleft/lesser.html
*/
class Proj4phpProjGstmerc {
public function init() {
// array of: a, b, lon0, lat0, k0, x0, y0
$temp = $this->b / $this->a;
$this->e = sqrt( 1.0 - $temp * $temp );
$this->lc = $this->long0;
$this->rs = sqrt( 1.0 + $this->e * $this->e * pow( cos( $this->lat0 ), 4.0 ) / (1.0 - $this->e * $this->e) );
$sinz = sin( $this->lat0 );
$pc = asin( $sinz / $this->rs );
$sinzpc = sin( $pc );
$this->cp = Proj4php::$common->latiso( 0.0, $pc, $sinzpc ) - $this->rs * Proj4php::$common->latiso( $this->e, $this->lat0, $sinz );
$this->n2 = $this->k0 * $this->a * sqrt( 1.0 - $this->e * $this->e ) / (1.0 - $this->e * $this->e * $sinz * $sinz);
$this->xs = $this->x0;
$this->ys = $this->y0 - $this->n2 * $pc;
if( !$this->title )
$this->title = "Gauss Schreiber transverse mercator";
}
// forward equations--mapping lat,long to x,y
// -----------------------------------------------------------------
public function forward( $p ) {
$lon = $p->x;
$lat = $p->y;
$L = $this->rs * ($lon - $this->lc);
$Ls = $this->cp + ($this->rs * Proj4php::$common->latiso( $this->e, $lat, sin( $lat ) ));
$lat1 = asin( sin( $L ) / Proj4php::$common . cosh( $Ls ) );
$Ls1 = Proj4php::$common . latiso( 0.0, $lat1, sin( $lat1 ) );
$p->x = $this->xs + ($this->n2 * $Ls1);
$p->y = $this->ys + ($this->n2 * atan( Proj4php::$common->sinh( $Ls ) / cos( $L ) ));
return $p;
}
// inverse equations--mapping x,y to lat/long
// -----------------------------------------------------------------
public function inverse( $p ) {
$x = $p->x;
$y = $p->y;
$L = atan( Proj4php::$common . sinh( ($x - $this->xs) / $this->n2 ) / cos( ($y - $this->ys) / $this->n2 ) );
$lat1 = asin( sin( ($y - $this->ys) / $this->n2 ) / Proj4php::$common . cosh( ($x - $this->xs) / $this->n2 ) );
$LC = Proj4php::$common . latiso( 0.0, $lat1, sin( $lat1 ) );
$p->x = $this->lc + $L / $this->rs;
$p->y = Proj4php::$common . invlatiso( $this->e, ($LC - $this->cp) / $this->rs );
return $p;
}
}
Proj4php::$proj['gstmerc'] = new Proj4phpProjGestmerc();