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<?php
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/**
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 * Author : Julien Moquet
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 *
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 * Inspired by Proj4php from Mike Adair madairATdmsolutions.ca
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 *                      and Richard Greenwood rich@greenwoodma$p->com
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 * License: LGPL as per: http://www.gnu.org/copyleft/lesser.html
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 */
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class Proj4phpProjGauss {
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    /**
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     *
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     */
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    public function init() {
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        $sphi = sin( $this->lat0 );
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        $cphi = cos( $this->lat0 );
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        $cphi *= $cphi;
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        $this->rc = sqrt( 1.0 - $this->es ) / (1.0 - $this->es * $sphi * $sphi);
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        $this->C = sqrt( 1.0 + $this->es * $cphi * $cphi / (1.0 - $this->es) );
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        $this->phic0 = asin( $sphi / $this->C );
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        $this->ratexp = 0.5 * $this->C * $this->e;
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        $this->K = tan( 0.5 * $this->phic0 + Proj4php::$common->FORTPI ) / (pow( tan( 0.5 * $this->lat0 + Proj4php::$common->FORTPI ), $this->C ) * Proj4php::$common->srat( $this->e * $sphi, $this->ratexp ));
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    }
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    /**
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     *
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     * @param type $p
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     * @return type
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     */
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    public function forward( $p ) {
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        $lon = $p->x;
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        $lat = $p->y;
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        $p->y = 2.0 * atan( $this->K * pow( tan( 0.5 * $lat + Proj4php::$common->FORTPI ), $this->C ) * Proj4php::$common->srat( $this->e * sin( $lat ), $this->ratexp ) ) - Proj4php::$common->HALF_PI;
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        $p->x = $this->C * $lon;
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        return $p;
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    }
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    /**
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     *
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     * @param type $p
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     * @return null
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     */
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    public function inverse( $p ) {
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        $DEL_TOL = 1e-14;
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        $lon = $p->x / $this->C;
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        $lat = $p->y;
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        $num = pow( tan( 0.5 * $lat + Proj4php::$common . FORTPI ) / $this->K, 1. / $this->C );
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        for( $i = Proj4php::$common . MAX_ITER; $i > 0; --$i ) {
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            $lat = 2.0 * atan( $num * Proj4php::$common->srat( $this->e * sin( $p->y ), -0.5 * $this->e ) ) - Proj4php::$common->HALF_PI;
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            if( abs( $lat - $p->y ) < $DEL_TOL )
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                break;
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            $p->y = $lat;
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        }
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        /* convergence failed */
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        if( !$i ) {
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            Proj4php::reportError( "gauss:inverse:convergence failed" );
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            return null;
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        }
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        $p->x = $lon;
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        $p->y = $lat;
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        return $p;
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    }
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}
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Proj4php::$proj['gauss'] = new Proj4phpProjGauss();