Subversion Repositories eFlore/Projets.eflore-projets

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Ignore whitespace Rev 1000 → Rev 1001

/trunk/scripts/modules/ifn/bibliotheque/proj4php/projCode/stere.php
New file
0,0 → 1,303
<?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
*/
 
// Initialize the Stereographic projection
class Proj4phpProjStere {
 
protected $TOL = 1.e-8;
protected $NITER = 8;
protected $CONV = 1.e-10;
protected $S_POLE = 0;
protected $N_POLE = 1;
protected $OBLIQ = 2;
protected $EQUIT = 3;
 
/**
*
* @param type $phit
* @param type $sinphi
* @param type $eccen
* @return type
*/
public function ssfn_( $phit, $sinphi, $eccen ) {
$sinphi *= $eccen;
return (tan( .5 * (Proj4php::$common->HALF_PI + $phit) ) * pow( (1. - $sinphi) / (1. + $sinphi), .5 * $eccen ));
}
/**
*
*/
public function init() {
$this->phits = $this->lat_ts ? $this->lat_ts : Proj4php::$common->HALF_PI;
$t = abs( $this->lat0 );
if( (abs( $t ) - Proj4php::$common->HALF_PI) < Proj4php::$common->EPSLN ) {
$this->mode = $this->lat0 < 0. ? $this->S_POLE : $this->N_POLE;
} else {
$this->mode = $t > Proj4php::$common->EPSLN ? $this->OBLIQ : $this->EQUIT;
}
$this->phits = abs( $this->phits );
if( $this->es ) {
#$X;
 
switch( $this->mode ) {
case $this->N_POLE:
case $this->S_POLE:
if( abs( $this->phits - Proj4php::$common->HALF_PI ) < Proj4php::$common->EPSLN ) {
$this->akm1 = 2. * $this->k0 / sqrt( pow( 1 + $this->e, 1 + $this->e ) * pow( 1 - $this->e, 1 - $this->e ) );
} else {
$t = sin( $this->phits );
$this->akm1 = cos( $this->phits ) / Proj4php::$common->tsfnz( $this->e, $this->phits, $t );
$t *= $this->e;
$this->akm1 /= sqrt( 1. - $t * $t );
}
break;
case $this->EQUIT:
$this->akm1 = 2. * $this->k0;
break;
case $this->OBLIQ:
$t = sin( $this->lat0 );
$X = 2. * atan( $this->ssfn_( $this->lat0, $t, $this->e ) ) - Proj4php::$common->HALF_PI;
$t *= $this->e;
$this->akm1 = 2. * $this->k0 * cos( $this->lat0 ) / sqrt( 1. - $t * $t );
$this->sinX1 = sin( $X );
$this->cosX1 = cos( $X );
break;
}
} else {
switch( $this->mode ) {
case $this->OBLIQ:
$this->sinph0 = sin( $this->lat0 );
$this->cosph0 = cos( $this->lat0 );
case $this->EQUIT:
$this->akm1 = 2. * $this->k0;
break;
case $this->S_POLE:
case $this->N_POLE:
$this->akm1 = abs( $this->phits - Proj4php::$common->HALF_PI ) >= Proj4php::$common->EPSLN ?
cos( $this->phits ) / tan( Proj4php::$common->FORTPI - .5 * $this->phits ) :
2. * $this->k0;
break;
}
}
}
 
/**
* Stereographic forward equations--mapping lat,long to x,y
*
* @param type $p
* @return type
*/
public function forward( $p ) {
$lon = $p->x;
$lon = Proj4php::$common->adjust_lon( $lon - $this->long0 );
$lat = $p->y;
#$x;
#$y;
 
if( $this->sphere ) {
/*
$sinphi;
$cosphi;
$coslam;
$sinlam;
*/
$sinphi = sin( $lat );
$cosphi = cos( $lat );
$coslam = cos( $lon );
$sinlam = sin( $lon );
switch( $this->mode ) {
case $this->EQUIT:
$y = 1. + $cosphi * $coslam;
if( y <= Proj4php::$common->EPSLN ) {
Proj4php::reportError("stere:forward:Equit");
}
$y = $this->akm1 / $y;
$x = $y * $cosphi * $sinlam;
$y *= $sinphi;
break;
case $this->OBLIQ:
$y = 1. + $this->sinph0 * $sinphi + $this->cosph0 * $cosphi * $coslam;
if( $y <= Proj4php::$common->EPSLN ) {
Proj4php::reportError("stere:forward:Obliq");
}
$y = $this->akm1 / $y;
$x = $y * $cosphi * $sinlam;
$y *= $this->cosph0 * $sinphi - $this->sinph0 * $cosphi * $coslam;
break;
case $this->N_POLE:
$coslam = -$coslam;
$lat = -$lat;
//Note no break here so it conitnues through S_POLE
case $this->S_POLE:
if( abs( $lat - Proj4php::$common->HALF_PI ) < $this->TOL ) {
Proj4php::reportError("stere:forward:S_POLE");
}
$y = $this->akm1 * tan( Proj4php::$common->FORTPI + .5 * $lat );
$x = $sinlam * $y;
$y *= $coslam;
break;
}
} else {
$coslam = cos( $lon );
$sinlam = sin( $lon );
$sinphi = sin( $lat );
if( $this->mode == $this->OBLIQ || $this->mode == $this->EQUIT ) {
$Xt = 2. * atan( $this->ssfn_( $lat, $sinphi, $this->e ) );
$sinX = sin( $Xt - Proj4php::$common->HALF_PI );
$cosX = cos( $Xt );
}
switch( $this->mode ) {
case $this->OBLIQ:
$A = $this->akm1 / ($this->cosX1 * (1. + $this->sinX1 * $sinX + $this->cosX1 * $cosX * $coslam));
$y = $A * ($this->cosX1 * $sinX - $this->sinX1 * $cosX * $coslam);
$x = $A * $cosX;
break;
case $this->EQUIT:
$A = 2. * $this->akm1 / (1. + $cosX * $coslam);
$y = $A * $sinX;
$x = $A * $cosX;
break;
case $this->S_POLE:
$lat = -$lat;
$coslam = - $coslam;
$sinphi = -$sinphi;
case $this->N_POLE:
$x = $this->akm1 * Proj4php::$common->tsfnz( $this->e, $lat, $sinphi );
$y = - $x * $coslam;
break;
}
$x = $x * $sinlam;
}
$p->x = $x * $this->a + $this->x0;
$p->y = $y * $this->a + $this->y0;
return $p;
}
 
 
/**
* Stereographic inverse equations--mapping x,y to lat/long
*
* @param type $p
* @return type
*/
public function inverse( $p ) {
$x = ($p->x - $this->x0) / $this->a; /* descale and de-offset */
$y = ($p->y - $this->y0) / $this->a;
/*
$lon;
$lat;
$cosphi;
$sinphi;
$rho;
$tp = 0.0;
$phi_l = 0.0;
$i;
*/
$halfe = 0.0;
$pi2 = 0.0;
 
if( $this->sphere ) {
/*
$c;
$rh;
$sinc;
$cosc;
*/
$rh = sqrt( $x * $x + $y * $y );
$c = 2. * atan( $rh / $this->akm1 );
$sinc = sin( $c );
$cosc = cos( $c );
$lon = 0.;
switch( $this->mode ) {
case $this->EQUIT:
if( abs( $rh ) <= Proj4php::$common->EPSLN ) {
$lat = 0.;
} else {
$lat = asin( $y * $sinc / $rh );
}
if( $cosc != 0. || $x != 0. )
$lon = atan2( $x * $sinc, $cosc * $rh );
break;
case $this->OBLIQ:
if( abs( $rh ) <= Proj4php::$common->EPSLN ) {
$lat = $this->phi0;
} else {
$lat = asin( $cosc * $this->sinph0 + $y * $sinc * $this->cosph0 / $rh );
}
$c = $cosc - $this->sinph0 * sin( $lat );
if( $c != 0. || $x != 0. ) {
$lon = atan2( $x * $sinc * $this->cosph0, $c * $rh );
}
break;
case $this->N_POLE:
$y = -$y;
case $this->S_POLE:
if( abs( $rh ) <= Proj4php::$common->EPSLN ) {
$lat = $this->phi0;
} else {
$lat = asin( $this->mode == $this->S_POLE ? -$cosc : $cosc );
}
$lon = ($x == 0. && $y == 0.) ? 0. : atan2( $x, $y );
break;
}
$p->x = Proj4php::$common->adjust_lon( $lon + $this->long0 );
$p->y = $lat;
} else {
$rho = sqrt( $x * $x + $y * $y );
switch( $this->mode ) {
case $this->OBLIQ:
case $this->EQUIT:
$tp = 2. * atan2( $rho * $this->cosX1, $this->akm1 );
$cosphi = cos( $tp );
$sinphi = sin( $tp );
if( $rho == 0.0 ) {
$phi_l = asin( $cosphi * $this->sinX1 );
} else {
$phi_l = asin( $cosphi * $this->sinX1 + ($y * $sinphi * $this->cosX1 / $rho) );
}
 
$tp = tan( .5 * (Proj4php::$common->HALF_PI + $phi_l) );
$x *= $sinphi;
$y = $rho * $this->cosX1 * $cosphi - $y * $this->sinX1 * $sinphi;
$pi2 = Proj4php::$common->HALF_PI;
$halfe = .5 * $this->e;
break;
case $this->N_POLE:
$y = -$y;
case $this->S_POLE:
$tp = - $rho / $this->akm1;
$phi_l = Proj4php::$common->HALF_PI - 2. * atan( $tp );
$pi2 = -Proj4php::$common->HALF_PI;
$halfe = -.5 * $this->e;
break;
}
for( $i = $this->NITER; $i--; $phi_l = $lat ) { //check this
$sinphi = $this->e * sin( $phi_l );
$lat = 2. * atan( $tp * pow( (1. + $sinphi) / (1. - $sinphi), $halfe ) ) - $pi2;
if( abs( phi_l - lat ) < $this->CONV ) {
if( $this->mode == $this->S_POLE )
$lat = -$lat;
$lon = ($x == 0. && $y == 0.) ? 0. : atan2( $x, $y );
$p->x = Proj4php::$common->adjust_lon( $lon + $this->long0 );
$p->y = $lat;
return $p;
}
}
}
}
 
}
 
Proj4php::$proj['stere'] = new Proj4phpProjStere();