| author | Nicolas Sauret <nicolas.sauret@iri.centrepompidou.fr> |
| Fri, 18 Apr 2014 14:31:58 +0200 | |
| changeset 51 | 79833eaa394a |
| parent 47 | c0b4a8b5a012 |
| permissions | -rw-r--r-- |
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47
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d3.geo.greatArc = function() { |
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var source = d3_geo_greatArcSource, |
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target = d3_geo_greatArcTarget, |
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precision = 6 * d3_geo_radians; |
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function greatArc() { |
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var a = typeof source === "function" ? source.apply(this, arguments) : source, |
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b = typeof target === "function" ? target.apply(this, arguments) : target, |
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i = d3_geo_greatArcInterpolate(a, b), |
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dt = precision / i.d, |
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t = 0, |
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coordinates = [a]; |
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while ((t += dt) < 1) coordinates.push(i(t)); |
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coordinates.push(b); |
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return { |
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type: "LineString", |
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17 |
coordinates: coordinates |
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}; |
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} |
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20 |
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21 |
// Length returned in radians; multiply by radius for distance. |
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greatArc.distance = function() { |
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var a = typeof source === "function" ? source.apply(this, arguments) : source, |
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24 |
b = typeof target === "function" ? target.apply(this, arguments) : target; |
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25 |
return d3_geo_greatArcInterpolate(a, b).d; |
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}; |
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greatArc.source = function(x) { |
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if (!arguments.length) return source; |
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source = x; |
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return greatArc; |
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}; |
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greatArc.target = function(x) { |
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35 |
if (!arguments.length) return target; |
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36 |
target = x; |
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return greatArc; |
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}; |
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// Precision is specified in degrees. |
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greatArc.precision = function(x) { |
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42 |
if (!arguments.length) return precision / d3_geo_radians; |
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43 |
precision = x * d3_geo_radians; |
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return greatArc; |
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}; |
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46 |
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47 |
return greatArc; |
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}; |
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function d3_geo_greatArcSource(d) { |
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return d.source; |
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} |
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function d3_geo_greatArcTarget(d) { |
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return d.target; |
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} |
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function d3_geo_greatArcInterpolate(a, b) { |
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var x0 = a[0] * d3_geo_radians, cx0 = Math.cos(x0), sx0 = Math.sin(x0), |
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y0 = a[1] * d3_geo_radians, cy0 = Math.cos(y0), sy0 = Math.sin(y0), |
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x1 = b[0] * d3_geo_radians, cx1 = Math.cos(x1), sx1 = Math.sin(x1), |
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y1 = b[1] * d3_geo_radians, cy1 = Math.cos(y1), sy1 = Math.sin(y1), |
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d = interpolate.d = Math.acos(Math.max(-1, Math.min(1, sy0 * sy1 + cy0 * cy1 * Math.cos(x1 - x0)))), |
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sd = Math.sin(d); |
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66 |
// From http://williams.best.vwh.net/avform.htm#Intermediate |
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67 |
function interpolate(t) { |
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var A = Math.sin(d - (t *= d)) / sd, |
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69 |
B = Math.sin(t) / sd, |
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x = A * cy0 * cx0 + B * cy1 * cx1, |
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71 |
y = A * cy0 * sx0 + B * cy1 * sx1, |
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z = A * sy0 + B * sy1; |
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73 |
return [ |
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74 |
Math.atan2(y, x) / d3_geo_radians, |
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75 |
Math.atan2(z, Math.sqrt(x * x + y * y)) / d3_geo_radians |
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76 |
]; |
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77 |
} |
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78 |
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79 |
return interpolate; |
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80 |
} |