1001 |
delphine |
1 |
<?php
|
|
|
2 |
/**
|
|
|
3 |
* Author : Julien Moquet
|
|
|
4 |
*
|
|
|
5 |
* Inspired by Proj4php from Mike Adair madairATdmsolutions.ca
|
|
|
6 |
* and Richard Greenwood rich@greenwoodma$p->com
|
|
|
7 |
* License: LGPL as per: http://www.gnu.org/copyleft/lesser.html
|
|
|
8 |
*/
|
|
|
9 |
|
|
|
10 |
|
|
|
11 |
/* Function to compute, phi4, the latitude for the inverse of the
|
|
|
12 |
Polyconic projection.
|
|
|
13 |
------------------------------------------------------------ */
|
|
|
14 |
function phi4z( $eccent, $e0, $e1, $e2, $e3, $a, $b, &$c, $phi ) {
|
|
|
15 |
/*
|
|
|
16 |
$sinphi;
|
|
|
17 |
$sin2ph;
|
|
|
18 |
$tanph;
|
|
|
19 |
$ml;
|
|
|
20 |
$mlp;
|
|
|
21 |
$con1;
|
|
|
22 |
$con2;
|
|
|
23 |
$con3;
|
|
|
24 |
$dphi;
|
|
|
25 |
$i;
|
|
|
26 |
*/
|
|
|
27 |
|
|
|
28 |
$phi = $a;
|
|
|
29 |
for( $i = 1; $i <= 15; $i++ ) {
|
|
|
30 |
$sinphi = sin( $phi );
|
|
|
31 |
$tanphi = tan( $phi );
|
|
|
32 |
$c = $tanphi * sqrt( 1.0 - $eccent * $sinphi * $sinphi );
|
|
|
33 |
$sin2ph = sin( 2.0 * $phi );
|
|
|
34 |
/*
|
|
|
35 |
ml = e0 * *phi - e1 * sin2ph + e2 * sin (4.0 * *phi);
|
|
|
36 |
mlp = e0 - 2.0 * e1 * cos (2.0 * *phi) + 4.0 * e2 * cos (4.0 * *phi);
|
|
|
37 |
*/
|
|
|
38 |
$ml = $e0 * $phi - $e1 * $sin2ph + $e2 * sin( 4.0 * $phi ) - $e3 * sin( 6.0 * $phi );
|
|
|
39 |
$mlp = $e0 - 2.0 * $e1 * cos( 2.0 * $phi ) + 4.0 * $e2 * cos( 4.0 * $phi ) - 6.0 * $e3 * cos( 6.0 * $phi );
|
|
|
40 |
$con1 = 2.0 * $ml + $c * ($ml * $ml + $b) - 2.0 * $a * ($c * $ml + 1.0);
|
|
|
41 |
$con2 = $eccent * $sin2ph * ($ml * $ml + $b - 2.0 * $a * $ml) / (2.0 * $c);
|
|
|
42 |
$con3 = 2.0 * ($a - $ml) * ($c * $mlp - 2.0 / $sin2ph) - 2.0 * $mlp;
|
|
|
43 |
$dphi = $con1 / ($con2 + $con3);
|
|
|
44 |
$phi += $dphi;
|
|
|
45 |
if( abs( $dphi ) <= .0000000001 )
|
|
|
46 |
return($phi);
|
|
|
47 |
}
|
|
|
48 |
|
|
|
49 |
Proj4php::reportError( "phi4z: No convergence" );
|
|
|
50 |
|
|
|
51 |
return null;
|
|
|
52 |
}
|
|
|
53 |
|
|
|
54 |
/* Function to compute the constant e4 from the input of the eccentricity
|
|
|
55 |
of the spheroid, x. This constant is used in the Polar Stereographic
|
|
|
56 |
projection.
|
|
|
57 |
-------------------------------------------------------------------- */
|
|
|
58 |
function e4fn( $x ) {
|
|
|
59 |
#$con;
|
|
|
60 |
#$com;
|
|
|
61 |
$con = 1.0 + $x;
|
|
|
62 |
$com = 1.0 - $x;
|
|
|
63 |
return (sqrt( (pow( $con, $con )) * (pow( $com, $com )) ));
|
|
|
64 |
}
|
|
|
65 |
|
|
|
66 |
/* * *****************************************************************************
|
|
|
67 |
NAME POLYCONIC
|
|
|
68 |
|
|
|
69 |
PURPOSE: Transforms input longitude and latitude to Easting and
|
|
|
70 |
Northing for the Polyconic projection. The
|
|
|
71 |
longitude and latitude must be in radians. The Easting
|
|
|
72 |
and Northing values will be returned in meters.
|
|
|
73 |
|
|
|
74 |
PROGRAMMER DATE
|
|
|
75 |
---------- ----
|
|
|
76 |
T. Mittan Mar, 1993
|
|
|
77 |
|
|
|
78 |
ALGORITHM REFERENCES
|
|
|
79 |
|
|
|
80 |
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
|
|
81 |
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
|
|
82 |
State Government Printing Office, Washington D.C., 1987.
|
|
|
83 |
|
|
|
84 |
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
|
|
85 |
U.S. Geological Survey Professional Paper 1453 , United State Government
|
|
|
86 |
Printing Office, Washington D.C., 1989.
|
|
|
87 |
* ***************************************************************************** */
|
|
|
88 |
|
|
|
89 |
class Proj4phpProjPoly {
|
|
|
90 |
|
|
|
91 |
/* Initialize the POLYCONIC projection
|
|
|
92 |
---------------------------------- */
|
|
|
93 |
public function init() {
|
|
|
94 |
#$temp; /* temporary variable */
|
|
|
95 |
if( $this->lat0 == 0 )
|
|
|
96 |
$this->lat0 = 90; //$this->lat0 ca
|
|
|
97 |
|
|
|
98 |
/* Place parameters in static storage for common use
|
|
|
99 |
------------------------------------------------- */
|
|
|
100 |
$this->temp = $this->b / $this->a;
|
|
|
101 |
$this->es = 1.0 - pow( $this->temp, 2 ); // devait etre dans tmerc.js mais n y est pas donc je commente sinon retour de valeurs nulles
|
|
|
102 |
$this->e = sqrt( $this->es );
|
|
|
103 |
$this->e0 = Proj4php::$common->e0fn( $this->es );
|
|
|
104 |
$this->e1 = Proj4php::$common->e1fn( $this->es );
|
|
|
105 |
$this->e2 = Proj4php::$common->e2fn( $this->es );
|
|
|
106 |
$this->e3 = Proj4php::$common->e3fn( $this->es );
|
|
|
107 |
$this->ml0 = Proj4php::$common->mlfn( $this->e0, $this->e1, $this->e2, $this->e3, $this->lat0 ); //si que des zeros le calcul ne se fait pas
|
|
|
108 |
//if (!$this->ml0) {$this->ml0=0;}
|
|
|
109 |
}
|
|
|
110 |
|
|
|
111 |
/* Polyconic forward equations--mapping lat,long to x,y
|
|
|
112 |
--------------------------------------------------- */
|
|
|
113 |
public function forward( $p ) {
|
|
|
114 |
|
|
|
115 |
/*
|
|
|
116 |
$sinphi;
|
|
|
117 |
$cosphi; // sin and cos value
|
|
|
118 |
$al; // temporary values
|
|
|
119 |
$c; // temporary values
|
|
|
120 |
$con;
|
|
|
121 |
$ml; // cone constant, small m
|
|
|
122 |
$ms; // small m
|
|
|
123 |
$x;
|
|
|
124 |
$y;
|
|
|
125 |
*/
|
|
|
126 |
|
|
|
127 |
$lon = $p->x;
|
|
|
128 |
$lat = $p->y;
|
|
|
129 |
|
|
|
130 |
$con = Proj4php::$common->adjust_lon( $lon - $this->long0 );
|
|
|
131 |
|
|
|
132 |
if( abs( $lat ) <= .0000001 ) {
|
|
|
133 |
$x = $this->x0 + $this->a * $con;
|
|
|
134 |
$y = $this->y0 - $this->a * $this->ml0;
|
|
|
135 |
} else {
|
|
|
136 |
$sinphi = sin( $lat );
|
|
|
137 |
$cosphi = cos( $lat );
|
|
|
138 |
|
|
|
139 |
$ml = Proj4php::$common->mlfn( $this->e0, $this->e1, $this->e2, $this->e3, $lat );
|
|
|
140 |
$ms = Proj4php::$common->msfnz( $this->e, $sinphi, $cosphi );
|
|
|
141 |
|
|
|
142 |
$x = $this->x0 + $this->a * $ms * sin( $sinphi ) / $sinphi;
|
|
|
143 |
$y = $this->y0 + $this->a * ($ml - $this->ml0 + $ms * (1.0 - cos( $sinphi )) / $sinphi);
|
|
|
144 |
}
|
|
|
145 |
|
|
|
146 |
$p->x = $x;
|
|
|
147 |
$p->y = $y;
|
|
|
148 |
|
|
|
149 |
return $p;
|
|
|
150 |
}
|
|
|
151 |
|
|
|
152 |
/* Inverse equations
|
|
|
153 |
----------------- */
|
|
|
154 |
public function inverse( $p ) {
|
|
|
155 |
|
|
|
156 |
/*
|
|
|
157 |
$sin_phi;
|
|
|
158 |
$cos_phi; // sin and cos values
|
|
|
159 |
$al; // temporary values
|
|
|
160 |
$b; // temporary values
|
|
|
161 |
$c; // temporary values
|
|
|
162 |
$con;
|
|
|
163 |
$ml; // cone constant, small m
|
|
|
164 |
$iflg; // error flag
|
|
|
165 |
$lon;
|
|
|
166 |
$lat;
|
|
|
167 |
*/
|
|
|
168 |
|
|
|
169 |
$p->x -= $this->x0;
|
|
|
170 |
$p->y -= $this->y0;
|
|
|
171 |
$al = $this->ml0 + $p->y / $this->a;
|
|
|
172 |
$iflg = 0;
|
|
|
173 |
|
|
|
174 |
if( abs( $al ) <= .0000001 ) {
|
|
|
175 |
$lon = $p->x / $this->a + $this->long0;
|
|
|
176 |
$lat = 0.0;
|
|
|
177 |
} else {
|
|
|
178 |
$b = $al * $al + ($p->x / $this->a) * ($p->x / $this->a);
|
|
|
179 |
$iflg = phi4z( $this->es, $this->e0, $this->e1, $this->e2, $this->e3, $this->al, $b, $c, $lat );
|
|
|
180 |
if( $iflg != 1 )
|
|
|
181 |
return($iflg);
|
|
|
182 |
$lon = Proj4php::$common->adjust_lon( (Proj4php::$common->asinz( $p->x * $c / $this->a ) / sin( $lat )) + $this->long0 );
|
|
|
183 |
}
|
|
|
184 |
|
|
|
185 |
$p->x = $lon;
|
|
|
186 |
$p->y = $lat;
|
|
|
187 |
return $p;
|
|
|
188 |
}
|
|
|
189 |
|
|
|
190 |
}
|
|
|
191 |
|
|
|
192 |
Proj4php::$proj['poly'] = new Proj4phpProjPoly();
|