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Merge pull request #19 from vallettea/master
proper postioning and first draft of sunpostition
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Original file line number | Diff line number | Diff line change |
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'use strict'; | ||
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var Map = require("harmony-collections").Map; | ||
module.exports = new Map(); |
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'use strict'; | ||
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// http://fr.wikipedia.org/wiki/Projection_conique_conforme_de_Lambert | ||
// http://geodesie.ign.fr/contenu/fichiers/documentation/rgf93/cc9zones.pdf | ||
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// stellar parameters | ||
var a = 6378137; //demi grand axe | ||
var f = 1.0/298.257222101; //applatissement | ||
var b = (1-f)*a; | ||
var e = Math.sqrt(Math.pow(a,2)-Math.pow(b,2))/a; | ||
var pi = Math.PI; | ||
var lon0 = 3*pi/180; | ||
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module.exports = function(CC, deltaX, deltaY){ | ||
// CC is the number of the lamber projection | ||
// deltaX, deltaY are the shifts from the original center | ||
var NZ = CC - 41; | ||
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// lambert 94 parameters | ||
var phi0 = (41.0 + NZ); | ||
var phi1 = (phi0 - 0.75); | ||
var phi2 = (phi0 + 0.75); | ||
phi0 = phi0*pi/180; | ||
phi1 = phi1*pi/180; | ||
phi2 = phi2*pi/180; | ||
var E0 = 1700000; | ||
var N0 = (NZ * 1000000) + 200000; | ||
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function L(phi) { | ||
return 0.5*Math.log( (1+Math.sin(phi))/(1-Math.sin(phi)) ) | ||
- e/2*Math.log( (1+e*Math.sin(phi))/(1-e*Math.sin(phi)) ); | ||
} | ||
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var n = Math.log( Math.cos(phi2)/Math.cos(phi1) * Math.sqrt(1- Math.pow(e*Math.sin(phi1),2)) / | ||
Math.sqrt(1- Math.pow(e*Math.sin(phi2),2)) ) / (L(phi1) - L(phi2)); | ||
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var C = a*Math.cos(phi1) * Math.exp(n*L(phi1)) / (n*Math.sqrt(1-Math.pow(e*Math.sin(phi1),2))); | ||
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return { | ||
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toLambert: function(lon, lat) { | ||
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lon = lon * pi/180; | ||
lat = lat * pi/180; | ||
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var YS = N0 + C * Math.exp( -n * L(phi0) ); | ||
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var R = C * Math.exp( -n * L(lat) ); | ||
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var gamma = n * (lon - lon0); | ||
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var X = E0 + R * Math.sin(gamma); | ||
var Y = YS - R * Math.cos(gamma); | ||
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return {X : X - deltaX, Y : Y - deltaY}; | ||
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}, | ||
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// this function takes X, Y in a lamber cc projection and outputs lon,lat in rgf93 fomat which we assume to be equal to WGS94 (GPS) | ||
toLonLat: function(X, Y) { | ||
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var dX = X + deltaX - E0; | ||
var dY = Y + deltaY - N0 - C * Math.exp(-n * L(phi0)); | ||
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var R = Math.sqrt(dX * dX + dY * dY ); | ||
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var gamma = Math.atan(-dX / dY) | ||
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var lon = gamma/n + lon0; | ||
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// dichotomy | ||
var p0 = 2 * Math.atan( Math.pow(C/R, 1/n) ) - pi/2; | ||
var p1 = 2 * Math.atan( Math.pow(C/R, 1/n) * Math.pow((1+e*Math.sin(p0))/(1-e*Math.sin(p0)), e/2) ) - pi/2; | ||
var delta = Math.abs( p1 - p0 ); | ||
while( delta > 0.000001 ){ | ||
p0 = p1; | ||
p1 = 2 * Math.atan( Math.pow(R/C, 1/n) * Math.pow((1+e*Math.sin(p0))/(1-e*Math.sin(p0)), e/2) ) - pi/2; | ||
delta = Math.abs( p1 - p0 ); | ||
} | ||
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return {lon:lon*180/pi, lat:p1*180/pi}; | ||
} | ||
} | ||
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} | ||
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