Cesium-Examples/libs/iclient8c/examples/js/proj4js/lib/projCode/poly.js
2025-03-11 17:51:04 +08:00

158 lines
4.9 KiB
JavaScript

/* Function to compute, phi4, the latitude for the inverse of the
Polyconic projection.
------------------------------------------------------------*/
function phi4z (eccent,e0,e1,e2,e3,a,b,c,phi) {
var sinphi, sin2ph, tanphi, ml, mlp, con1, con2, con3, dphi, i;
phi = a;
for (i = 1; i <= 15; i++) {
sinphi = Math.sin(phi);
tanphi = Math.tan(phi);
c = tanphi * Math.sqrt (1.0 - eccent * sinphi * sinphi);
sin2ph = Math.sin (2.0 * phi);
/*
ml = e0 * *phi - e1 * sin2ph + e2 * sin (4.0 * *phi);
mlp = e0 - 2.0 * e1 * cos (2.0 * *phi) + 4.0 * e2 * cos (4.0 * *phi);
*/
ml = e0 * phi - e1 * sin2ph + e2 * Math.sin (4.0 * phi) - e3 * Math.sin (6.0 * phi);
mlp = e0 - 2.0 * e1 * Math.cos (2.0 * phi) + 4.0 * e2 * Math.cos (4.0 * phi) - 6.0 * e3 * Math.cos (6.0 * phi);
con1 = 2.0 * ml + c * (ml * ml + b) - 2.0 * a * (c * ml + 1.0);
con2 = eccent * sin2ph * (ml * ml + b - 2.0 * a * ml) / (2.0 *c);
con3 = 2.0 * (a - ml) * (c * mlp - 2.0 / sin2ph) - 2.0 * mlp;
dphi = con1 / (con2 + con3);
phi += dphi;
if (Math.abs(dphi) <= .0000000001 ) return(phi);
}
Proj4js.reportError("phi4z: No convergence");
return null;
}
/* Function to compute the constant e4 from the input of the eccentricity
of the spheroid, x. This constant is used in the Polar Stereographic
projection.
--------------------------------------------------------------------*/
function e4fn(x) {
var con, com;
con = 1.0 + x;
com = 1.0 - x;
return (Math.sqrt((Math.pow(con,con))*(Math.pow(com,com))));
}
/*******************************************************************************
NAME POLYCONIC
PURPOSE: Transforms input longitude and latitude to Easting and
Northing for the Polyconic projection. The
longitude and latitude must be in radians. The Easting
and Northing values will be returned in meters.
PROGRAMMER DATE
---------- ----
T. Mittan Mar, 1993
ALGORITHM REFERENCES
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
State Government Printing Office, Washington D.C., 1987.
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
U.S. Geological Survey Professional Paper 1453 , United State Government
Printing Office, Washington D.C., 1989.
*******************************************************************************/
Proj4js.Proj.poly = {
/* Initialize the POLYCONIC projection
----------------------------------*/
init: function() {
var temp; /* temporary variable */
if (this.lat0 == 0) this.lat0 = 90;//this.lat0 ca
/* Place parameters in static storage for common use
-------------------------------------------------*/
this.temp = this.b / this.a;
this.es = 1.0 - Math.pow(this.temp,2);// devait etre dans tmerc.js mais n y est pas donc je commente sinon retour de valeurs nulles
this.e = Math.sqrt(this.es);
this.e0 = Proj4js.common.e0fn(this.es);
this.e1 = Proj4js.common.e1fn(this.es);
this.e2 = Proj4js.common.e2fn(this.es);
this.e3 = Proj4js.common.e3fn(this.es);
this.ml0 = Proj4js.common.mlfn(this.e0, this.e1,this.e2, this.e3, this.lat0);//si que des zeros le calcul ne se fait pas
//if (!this.ml0) {this.ml0=0;}
},
/* Polyconic forward equations--mapping lat,long to x,y
---------------------------------------------------*/
forward: function(p) {
var sinphi, cosphi; /* sin and cos value */
var al; /* temporary values */
var c; /* temporary values */
var con, ml; /* cone constant, small m */
var ms; /* small m */
var x,y;
var lon=p.x;
var lat=p.y;
con = Proj4js.common.adjust_lon(lon - this.long0);
if (Math.abs(lat) <= .0000001) {
x = this.x0 + this.a * con;
y = this.y0 - this.a * this.ml0;
} else {
sinphi = Math.sin(lat);
cosphi = Math.cos(lat);
ml = Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, lat);
ms = Proj4js.common.msfnz(this.e,sinphi,cosphi);
con = sinphi;
x = this.x0 + this.a * ms * Math.sin(con)/sinphi;
y = this.y0 + this.a * (ml - this.ml0 + ms * (1.0 - Math.cos(con))/sinphi);
}
p.x=x;
p.y=y;
return p;
},
/* Inverse equations
-----------------*/
inverse: function(p) {
var sin_phi, cos_phi; /* sin and cos value */
var al; /* temporary values */
var b; /* temporary values */
var c; /* temporary values */
var con, ml; /* cone constant, small m */
var iflg; /* error flag */
var lon,lat;
p.x -= this.x0;
p.y -= this.y0;
al = this.ml0 + p.y/this.a;
iflg = 0;
if (Math.abs(al) <= .0000001) {
lon = p.x/this.a + this.long0;
lat = 0.0;
} else {
b = al * al + (p.x/this.a) * (p.x/this.a);
iflg = phi4z(this.es,this.e0,this.e1,this.e2,this.e3,this.al,b,c,lat);
if (iflg != 1) return(iflg);
lon = Proj4js.common.adjust_lon((Proj4js.common.asinz(p.x * c / this.a) / Math.sin(lat)) + this.long0);
}
p.x=lon;
p.y=lat;
return p;
}
};