jfirebaugh/README.md

## README.md

      
    Raw
  

              README.md
            
          
    The current solar terminator is shown.
Thanks to Ben Elsen and NOAA for help implementing the correct equations for the position of the sun, which turned out to be quite a bit more complicated than I expected.

  
## index.html
<!DOCTYPE html>
<meta charset="utf-8">
<style>

body {
  margin: 0;
}

.map {
  position: relative;
  overflow: hidden;
}

.layer {
  position: absolute;
}

.tile {
  position: absolute;
  width: 256px;
  height: 256px;
}

.overlay {
  position: absolute;
  top: 0;
  left: 0;
  pointer-events: none;
}

.night {
  stroke: none;
  fill: #000;
  fill-opacity: .7;
  filter: url(#blur);
}

</style>
<body>
<script src="http://d3js.org/d3.v3.min.js"></script>
<script src="http://d3js.org/d3.geo.tile.v0.min.js"></script>
<script>

var width = Math.max(960, window.innerWidth),
    height = Math.max(500, window.innerHeight),
    prefix = prefixMatch(["webkit", "ms", "Moz", "O"]);

var tile = d3.geo.tile()
    .size([width, height]);

var width = Math.max(960, window.innerWidth),
    height = Math.max(500, window.innerHeight),
    prefix = prefixMatch(["webkit", "ms", "Moz", "O"]);

var tile = d3.geo.tile()
    .size([width, height]);

var projection = d3.geo.mercator();

var zoom = d3.behavior.zoom()
    .scale(1 << 11)
    .scaleExtent([1 << 9, 1 << 23])
    .translate([width / 2, height / 2])
    .on("zoom", redraw);

var map = d3.select("body").append("div")
    .attr("class", "map")
    .style("width", width + "px")
    .style("height", height + "px")
    .call(zoom);

var layer = map.append("div")
    .attr("class", "layer");

var π = Math.PI,
    radians = π / 180,
    degrees = 180 / π;

var circle = d3.geo.circle()
    .angle(90);

var path = d3.geo.path()
    .projection(projection);

var svg = d3.select("body").append("svg")
    .attr("class", "overlay")
    .attr("width", width)
    .attr("height", height);

svg.append("defs")
  .append("filter")
    .attr("id", "blur")
  .append("feGaussianBlur")
    .attr("in", "SourceGraphic")
    .attr("stdDeviation", 15);

var night = svg.append("path")
    .attr("class", "night")
    .attr("d", path);

redraw();
setInterval(redraw, 60000);

function redraw() {
  var tiles = tile
      .scale(zoom.scale())
      .translate(zoom.translate())
      ();

  projection
      .scale(zoom.scale() / 2 / Math.PI)
      .translate(zoom.translate());

  var image = layer
      .style(prefix + "transform", matrix3d(tiles.scale, tiles.translate))
    .selectAll(".tile")
      .data(tiles, function(d) { return d; });

  image.exit()
      .remove();

  image.enter().append("img")
      .attr("class", "tile")
      .attr("src", function(d) { return "http://" + ["a", "b", "c", "d"][Math.random() * 4 | 0] + ".tiles.mapbox.com/v3/examples.map-vyofok3q/" + d[2] + "/" + d[0] + "/" + d[1] + ".png"; })
      .style("left", function(d) { return (d[0] << 8) + "px"; })
      .style("top", function(d) { return (d[1] << 8) + "px"; })
      .on('dragstart', function() { d3.event.preventDefault(); });

  night.datum(circle.origin(antipode(solarPosition(new Date))))
      .attr("d", path);
}

function matrix3d(scale, translate) {
  var k = scale / 256, r = scale % 1 ? Number : Math.round;
  return "matrix3d(" + [k, 0, 0, 0, 0, k, 0, 0, 0, 0, k, 0, r(translate[0] * scale), r(translate[1] * scale), 0, 1 ] + ")";
}

function prefixMatch(p) {
  var i = -1, n = p.length, s = document.body.style;
  while (++i < n) if (p[i] + "Transform" in s) return "-" + p[i].toLowerCase() + "-";
  return "";
}

function antipode(position) {
  return [position[0] + 180, -position[1]];
}

function solarPosition(time) {
  var centuries = (time - Date.UTC(2000, 0, 1, 12)) / 864e5 / 36525, // since J2000
      longitude = (d3.time.day.utc.floor(time) - time) / 864e5 * 360 - 180;
  return [
    longitude - equationOfTime(centuries) * degrees,
    solarDeclination(centuries) * degrees
  ];
}

// Equations based on NOAA’s Solar Calculator; all angles in radians.
// http://www.esrl.noaa.gov/gmd/grad/solcalc/

function equationOfTime(centuries) {
  var e = eccentricityEarthOrbit(centuries),
      m = solarGeometricMeanAnomaly(centuries),
      l = solarGeometricMeanLongitude(centuries),
      y = Math.tan(obliquityCorrection(centuries) / 2);
  y *= y;
  return y * Math.sin(2 * l)
      - 2 * e * Math.sin(m)
      + 4 * e * y * Math.sin(m) * Math.cos(2 * l)
      - 0.5 * y * y * Math.sin(4 * l)
      - 1.25 * e * e * Math.sin(2 * m);
}

function solarDeclination(centuries) {
  return Math.asin(Math.sin(obliquityCorrection(centuries)) * Math.sin(solarApparentLongitude(centuries)));
}

function solarApparentLongitude(centuries) {
  return solarTrueLongitude(centuries) - (0.00569 + 0.00478 * Math.sin((125.04 - 1934.136 * centuries) * radians)) * radians;
}

function solarTrueLongitude(centuries) {
  return solarGeometricMeanLongitude(centuries) + solarEquationOfCenter(centuries);
}

function solarGeometricMeanAnomaly(centuries) {
  return (357.52911 + centuries * (35999.05029 - 0.0001537 * centuries)) * radians;
}

function solarGeometricMeanLongitude(centuries) {
  var l = (280.46646 + centuries * (36000.76983 + centuries * 0.0003032)) % 360;
  return (l < 0 ? l + 360 : l) / 180 * π;
}

function solarEquationOfCenter(centuries) {
  var m = solarGeometricMeanAnomaly(centuries);
  return (Math.sin(m) * (1.914602 - centuries * (0.004817 + 0.000014 * centuries))
      + Math.sin(m + m) * (0.019993 - 0.000101 * centuries)
      + Math.sin(m + m + m) * 0.000289) * radians;
}

function obliquityCorrection(centuries) {
  return meanObliquityOfEcliptic(centuries) + 0.00256 * Math.cos((125.04 - 1934.136 * centuries) * radians) * radians;
}

function meanObliquityOfEcliptic(centuries) {
  return (23 + (26 + (21.448 - centuries * (46.8150 + centuries * (0.00059 - centuries * 0.001813))) / 60) / 60) * radians;
}

function eccentricityEarthOrbit(centuries) {
  return 0.016708634 - centuries * (0.000042037 + 0.0000001267 * centuries);
}

</script>

## thumbnail.png

      
    Raw
  

              thumbnail.png
	<!DOCTYPE html>
	<meta charset="utf-8">
	<style>

	body {
	margin: 0;
	}

	.map {
	position: relative;
	overflow: hidden;
	}

	.layer {
	position: absolute;
	}

	.tile {
	position: absolute;
	width: 256px;
	height: 256px;
	}

	.overlay {
	position: absolute;
	top: 0;
	left: 0;
	pointer-events: none;
	}

	.night {
	stroke: none;
	fill: #000;
	fill-opacity: .7;
	filter: url(#blur);
	}

	</style>
	<body>
	<script src="http://d3js.org/d3.v3.min.js"></script>
	<script src="http://d3js.org/d3.geo.tile.v0.min.js"></script>
	<script>

	var width = Math.max(960, window.innerWidth),
	height = Math.max(500, window.innerHeight),
	prefix = prefixMatch(["webkit", "ms", "Moz", "O"]);

	var tile = d3.geo.tile()
	.size([width, height]);

	var width = Math.max(960, window.innerWidth),
	height = Math.max(500, window.innerHeight),
	prefix = prefixMatch(["webkit", "ms", "Moz", "O"]);

	var tile = d3.geo.tile()
	.size([width, height]);

	var projection = d3.geo.mercator();

	var zoom = d3.behavior.zoom()
	.scale(1 << 11)
	.scaleExtent([1 << 9, 1 << 23])
	.translate([width / 2, height / 2])
	.on("zoom", redraw);

	var map = d3.select("body").append("div")
	.attr("class", "map")
	.style("width", width + "px")
	.style("height", height + "px")
	.call(zoom);

	var layer = map.append("div")
	.attr("class", "layer");

	var π = Math.PI,
	radians = π / 180,
	degrees = 180 / π;

	var circle = d3.geo.circle()
	.angle(90);

	var path = d3.geo.path()
	.projection(projection);

	var svg = d3.select("body").append("svg")
	.attr("class", "overlay")
	.attr("width", width)
	.attr("height", height);

	svg.append("defs")
	.append("filter")
	.attr("id", "blur")
	.append("feGaussianBlur")
	.attr("in", "SourceGraphic")
	.attr("stdDeviation", 15);

	var night = svg.append("path")
	.attr("class", "night")
	.attr("d", path);

	redraw();
	setInterval(redraw, 60000);

	function redraw() {
	var tiles = tile
	.scale(zoom.scale())
	.translate(zoom.translate())
	();

	projection
	.scale(zoom.scale() / 2 / Math.PI)
	.translate(zoom.translate());

	var image = layer
	.style(prefix + "transform", matrix3d(tiles.scale, tiles.translate))
	.selectAll(".tile")
	.data(tiles, function(d) { return d; });

	image.exit()
	.remove();

	image.enter().append("img")
	.attr("class", "tile")
	.attr("src", function(d) { return "http://" + ["a", "b", "c", "d"][Math.random() * 4 \| 0] + ".tiles.mapbox.com/v3/examples.map-vyofok3q/" + d[2] + "/" + d[0] + "/" + d[1] + ".png"; })
	.style("left", function(d) { return (d[0] << 8) + "px"; })
	.style("top", function(d) { return (d[1] << 8) + "px"; })
	.on('dragstart', function() { d3.event.preventDefault(); });

	night.datum(circle.origin(antipode(solarPosition(new Date))))
	.attr("d", path);
	}

	function matrix3d(scale, translate) {
	var k = scale / 256, r = scale % 1 ? Number : Math.round;
	return "matrix3d(" + [k, 0, 0, 0, 0, k, 0, 0, 0, 0, k, 0, r(translate[0] * scale), r(translate[1] * scale), 0, 1 ] + ")";
	}

	function prefixMatch(p) {
	var i = -1, n = p.length, s = document.body.style;
	while (++i < n) if (p[i] + "Transform" in s) return "-" + p[i].toLowerCase() + "-";
	return "";
	}

	function antipode(position) {
	return [position[0] + 180, -position[1]];
	}

	function solarPosition(time) {
	var centuries = (time - Date.UTC(2000, 0, 1, 12)) / 864e5 / 36525, // since J2000
	longitude = (d3.time.day.utc.floor(time) - time) / 864e5 * 360 - 180;
	return [
	longitude - equationOfTime(centuries) * degrees,
	solarDeclination(centuries) * degrees
	];
	}

	// Equations based on NOAA’s Solar Calculator; all angles in radians.
	// http://www.esrl.noaa.gov/gmd/grad/solcalc/

	function equationOfTime(centuries) {
	var e = eccentricityEarthOrbit(centuries),
	m = solarGeometricMeanAnomaly(centuries),
	l = solarGeometricMeanLongitude(centuries),
	y = Math.tan(obliquityCorrection(centuries) / 2);
	y *= y;
	return y * Math.sin(2 * l)
	- 2 * e * Math.sin(m)
	+ 4 * e * y * Math.sin(m) * Math.cos(2 * l)
	- 0.5 * y * y * Math.sin(4 * l)
	- 1.25 * e * e * Math.sin(2 * m);
	}

	function solarDeclination(centuries) {
	return Math.asin(Math.sin(obliquityCorrection(centuries)) * Math.sin(solarApparentLongitude(centuries)));
	}

	function solarApparentLongitude(centuries) {
	return solarTrueLongitude(centuries) - (0.00569 + 0.00478 * Math.sin((125.04 - 1934.136 * centuries) * radians)) * radians;
	}

	function solarTrueLongitude(centuries) {
	return solarGeometricMeanLongitude(centuries) + solarEquationOfCenter(centuries);
	}

	function solarGeometricMeanAnomaly(centuries) {
	return (357.52911 + centuries * (35999.05029 - 0.0001537 * centuries)) * radians;
	}

	function solarGeometricMeanLongitude(centuries) {
	var l = (280.46646 + centuries * (36000.76983 + centuries * 0.0003032)) % 360;
	return (l < 0 ? l + 360 : l) / 180 * π;
	}

	function solarEquationOfCenter(centuries) {
	var m = solarGeometricMeanAnomaly(centuries);
	return (Math.sin(m) * (1.914602 - centuries * (0.004817 + 0.000014 * centuries))
	+ Math.sin(m + m) * (0.019993 - 0.000101 * centuries)
	+ Math.sin(m + m + m) * 0.000289) * radians;
	}

	function obliquityCorrection(centuries) {
	return meanObliquityOfEcliptic(centuries) + 0.00256 * Math.cos((125.04 - 1934.136 * centuries) * radians) * radians;
	}

	function meanObliquityOfEcliptic(centuries) {
	return (23 + (26 + (21.448 - centuries * (46.8150 + centuries * (0.00059 - centuries * 0.001813))) / 60) / 60) * radians;
	}

	function eccentricityEarthOrbit(centuries) {
	return 0.016708634 - centuries * (0.000042037 + 0.0000001267 * centuries);
	}

	</script>
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