87 lines
2.9 KiB
JavaScript
87 lines
2.9 KiB
JavaScript
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/*
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references:
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Formules et constantes pour le Calcul pour la
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projection cylindrique conforme à axe oblique et pour la transformation entre
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des systèmes de référence.
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http://www.swisstopo.admin.ch/internet/swisstopo/fr/home/topics/survey/sys/refsys/switzerland.parsysrelated1.31216.downloadList.77004.DownloadFile.tmp/swissprojectionfr.pdf
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*/
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export function init() {
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var phy0 = this.lat0;
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this.lambda0 = this.long0;
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var sinPhy0 = Math.sin(phy0);
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var semiMajorAxis = this.a;
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var invF = this.rf;
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var flattening = 1 / invF;
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var e2 = 2 * flattening - Math.pow(flattening, 2);
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var e = this.e = Math.sqrt(e2);
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this.R = this.k0 * semiMajorAxis * Math.sqrt(1 - e2) / (1 - e2 * Math.pow(sinPhy0, 2));
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this.alpha = Math.sqrt(1 + e2 / (1 - e2) * Math.pow(Math.cos(phy0), 4));
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this.b0 = Math.asin(sinPhy0 / this.alpha);
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var k1 = Math.log(Math.tan(Math.PI / 4 + this.b0 / 2));
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var k2 = Math.log(Math.tan(Math.PI / 4 + phy0 / 2));
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var k3 = Math.log((1 + e * sinPhy0) / (1 - e * sinPhy0));
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this.K = k1 - this.alpha * k2 + this.alpha * e / 2 * k3;
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}
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export function forward(p) {
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var Sa1 = Math.log(Math.tan(Math.PI / 4 - p.y / 2));
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var Sa2 = this.e / 2 * Math.log((1 + this.e * Math.sin(p.y)) / (1 - this.e * Math.sin(p.y)));
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var S = -this.alpha * (Sa1 + Sa2) + this.K;
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// spheric latitude
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var b = 2 * (Math.atan(Math.exp(S)) - Math.PI / 4);
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// spheric longitude
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var I = this.alpha * (p.x - this.lambda0);
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// psoeudo equatorial rotation
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var rotI = Math.atan(Math.sin(I) / (Math.sin(this.b0) * Math.tan(b) + Math.cos(this.b0) * Math.cos(I)));
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var rotB = Math.asin(Math.cos(this.b0) * Math.sin(b) - Math.sin(this.b0) * Math.cos(b) * Math.cos(I));
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p.y = this.R / 2 * Math.log((1 + Math.sin(rotB)) / (1 - Math.sin(rotB))) + this.y0;
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p.x = this.R * rotI + this.x0;
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return p;
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}
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export function inverse(p) {
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var Y = p.x - this.x0;
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var X = p.y - this.y0;
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var rotI = Y / this.R;
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var rotB = 2 * (Math.atan(Math.exp(X / this.R)) - Math.PI / 4);
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var b = Math.asin(Math.cos(this.b0) * Math.sin(rotB) + Math.sin(this.b0) * Math.cos(rotB) * Math.cos(rotI));
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var I = Math.atan(Math.sin(rotI) / (Math.cos(this.b0) * Math.cos(rotI) - Math.sin(this.b0) * Math.tan(rotB)));
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var lambda = this.lambda0 + I / this.alpha;
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var S = 0;
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var phy = b;
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var prevPhy = -1000;
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var iteration = 0;
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while (Math.abs(phy - prevPhy) > 0.0000001) {
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if (++iteration > 20) {
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//...reportError("omercFwdInfinity");
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return;
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}
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//S = Math.log(Math.tan(Math.PI / 4 + phy / 2));
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S = 1 / this.alpha * (Math.log(Math.tan(Math.PI / 4 + b / 2)) - this.K) + this.e * Math.log(Math.tan(Math.PI / 4 + Math.asin(this.e * Math.sin(phy)) / 2));
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prevPhy = phy;
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phy = 2 * Math.atan(Math.exp(S)) - Math.PI / 2;
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}
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p.x = lambda;
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p.y = phy;
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return p;
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}
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export var names = ["somerc"];
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export default {
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init: init,
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forward: forward,
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inverse: inverse,
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names: names
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};
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