Created
October 7, 2012 20:29
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JavaScript mercator projection
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/*jslint vars: true */ | |
// adapted from http://wiki.openstreetmap.org/wiki/Mercator#JavaScript | |
(function () { | |
var project = {}; | |
if (typeof exports === "object") { | |
module.exports = project; | |
} else { | |
this.project = project; | |
} | |
var DegRad = Math.PI / 180, | |
RMax = 6378137, | |
RMin = 6356752.3142, | |
LatMin = -89.5, | |
LatMax = 89.5, | |
Eccent = Math.sqrt(1 - ((RMin / RMax) * (RMin / RMax))); | |
function rad(x) { | |
return x * DegRad; | |
} | |
function mercLng(lng) { | |
return RMax * rad(lng); | |
} | |
function mercLat(lat) { | |
if (lat > LatMax) { | |
lat = LatMax; | |
} | |
if (lat < LatMin) { | |
lat = LatMin; | |
} | |
var phi = rad(lat), | |
con = Eccent * Math.sin(phi), | |
com = 0.5 * Eccent, | |
ts; | |
con = Math.pow((1 - con) / (1 + con), com); | |
ts = Math.tan(0.5 * (Math.PI * 0.5 - phi)) / con; | |
return -(RMax * Math.log(ts)); | |
} | |
function fitLat(lat, height, latMin, latMax) { | |
latMin = latMin || LatMin; | |
latMax = latMax || LatMax; | |
var mercLatMin = mercLat(latMin), | |
mercLatMax = mercLat(latMax), | |
mercLatHeight = -mercLatMin + mercLatMax; | |
return (mercLatMax - lat) * (height / mercLatHeight); | |
} | |
function fitLng(lng, width, lngMin, lngMax) { | |
var mercLngMin = mercLng(lngMin); | |
return (lng + mercLngMin) * (width / (-mercLngMin + mercLng(lngMax))); | |
} | |
function mercatorRatio(latMin, latMax, lngMin, lngMax) { | |
var width = -mercLng(lngMin) + mercLng(lngMax), | |
height = -mercLat(latMin) + mercLat(latMax); | |
return width / height; | |
} | |
project.mercatorRatio = mercatorRatio; | |
function mercator(width, height, latMin, latMax, lngMin, lngMax, latLng) { | |
var x = fitLng(mercLng(last(latLng)), width, lngMin, lngMax), | |
y = fitLat(mercLat(head(latLng)), height, latMin, latMax); | |
return [x, y]; | |
} | |
project.mercator = mercator; | |
}()); |
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