Loxodrome/rhumb lines
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Loxodrome
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<!DOCTYPE html> | |
<meta charset="utf-8"> | |
<style> | |
body { | |
background: #fcfcfa; | |
} | |
.stroke { | |
fill: none; | |
stroke: #000; | |
stroke-width: 3px; | |
} | |
.fill { | |
fill: #fff; | |
} | |
.graticule { | |
fill: none; | |
stroke: #777; | |
stroke-width: 1px; | |
stroke-opacity: .5; | |
} | |
.loxodrome { | |
fill: none; | |
stroke: #0A0; | |
stroke-width: 2px; | |
stroke-opacity: .5; | |
} | |
.land { | |
fill: #222; | |
} | |
.boundary { | |
fill: none; | |
stroke: #fff; | |
stroke-width: .5px; | |
} | |
</style> | |
<body> | |
<script src="https://d3js.org/d3.v3.min.js"></script> | |
<script src="loxodrome.js"></script> | |
<script> | |
var width = 960, | |
height = 960; | |
var projection = d3.geo.orthographic() | |
.scale(475) | |
.translate([width / 2, height / 2]) | |
.clipAngle(90) | |
.precision(.1); | |
var path = d3.geo.path() | |
.projection(projection); | |
var graticule = d3.geo.graticule() | |
.minorExtent([[-180, -90 + 1e-6], [180, 90 - 1e-6]]) | |
.majorStep([90,0]) | |
.minorStep([30,0]); | |
var λ = d3.scale.linear() | |
.domain([0, width]) | |
.range([-180, 180]); | |
var φ = d3.scale.linear() | |
.domain([0, height]) | |
.range([90, -90]); | |
var svg = d3.select("body").append("svg") | |
.attr("width", width) | |
.attr("height", height); | |
svg.append("defs").append("path") | |
.datum({type: "Sphere"}) | |
.attr("id", "sphere") | |
.attr("d", path); | |
svg.append("use") | |
.attr("class", "stroke") | |
.attr("xlink:href", "#sphere"); | |
svg.append("use") | |
.attr("class", "fill") | |
.attr("xlink:href", "#sphere"); | |
svg.append("path") | |
.datum(graticule) | |
.attr("class", "graticule") | |
.attr("d", path); | |
var loxodrome = d3.geo.loxodrome([-180,90], [1940,-90]); | |
svg.append("path") | |
.datum(loxodrome) | |
.attr("class", "loxodrome") | |
.attr("d", path); | |
svg.on("ontouchstart" in document ? "touchmove" : "mousemove", function() { | |
var p = d3.mouse(this); | |
projection.rotate([λ(p[0]), φ(p[1])]); | |
svg.selectAll("path").attr("d", path); | |
}); | |
d3.select(self.frameElement).style("height", height + "px"); | |
</script> |
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d3.geo.loxodrome = function(p0, p1) { | |
var ε = 1e-6, | |
abs = Math.abs, | |
x0 = p0[0], | |
y0 = p0[1], | |
x1 = p1[0], | |
y1 = p1[1]; | |
function loxodrome() { | |
return { type: "LineString", coordinates: coordinates() }; | |
} | |
function coordinates() { | |
if (abs(x0 - x1) < ε) { | |
return [p0, p1]; | |
} else if (x1 < x0) { | |
x1 += 360; | |
} | |
var m = (y1 - y0) / (x1 - x0); | |
return d3.range(x0, x1, .1).concat(x1).map(function (x) { return [x, m * (x - x1) + y1]; }); | |
} | |
return loxodrome; | |
} |
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