| import {Adder} from "d3-array"; |
| import {areaStream, areaRingSum} from "./area.js"; |
| import {cartesian, cartesianCross, cartesianNormalizeInPlace, spherical} from "./cartesian.js"; |
| import {abs, degrees, epsilon, radians} from "./math.js"; |
| import stream from "./stream.js"; |
|
|
| var lambda0, phi0, lambda1, phi1, |
| lambda2, |
| lambda00, phi00, |
| p0, |
| deltaSum, |
| ranges, |
| range; |
|
|
| var boundsStream = { |
| point: boundsPoint, |
| lineStart: boundsLineStart, |
| lineEnd: boundsLineEnd, |
| polygonStart: function() { |
| boundsStream.point = boundsRingPoint; |
| boundsStream.lineStart = boundsRingStart; |
| boundsStream.lineEnd = boundsRingEnd; |
| deltaSum = new Adder(); |
| areaStream.polygonStart(); |
| }, |
| polygonEnd: function() { |
| areaStream.polygonEnd(); |
| boundsStream.point = boundsPoint; |
| boundsStream.lineStart = boundsLineStart; |
| boundsStream.lineEnd = boundsLineEnd; |
| if (areaRingSum < 0) lambda0 = -(lambda1 = 180), phi0 = -(phi1 = 90); |
| else if (deltaSum > epsilon) phi1 = 90; |
| else if (deltaSum < -epsilon) phi0 = -90; |
| range[0] = lambda0, range[1] = lambda1; |
| }, |
| sphere: function() { |
| lambda0 = -(lambda1 = 180), phi0 = -(phi1 = 90); |
| } |
| }; |
|
|
| function boundsPoint(lambda, phi) { |
| ranges.push(range = [lambda0 = lambda, lambda1 = lambda]); |
| if (phi < phi0) phi0 = phi; |
| if (phi > phi1) phi1 = phi; |
| } |
|
|
| function linePoint(lambda, phi) { |
| var p = cartesian([lambda * radians, phi * radians]); |
| if (p0) { |
| var normal = cartesianCross(p0, p), |
| equatorial = [normal[1], -normal[0], 0], |
| inflection = cartesianCross(equatorial, normal); |
| cartesianNormalizeInPlace(inflection); |
| inflection = spherical(inflection); |
| var delta = lambda - lambda2, |
| sign = delta > 0 ? 1 : -1, |
| lambdai = inflection[0] * degrees * sign, |
| phii, |
| antimeridian = abs(delta) > 180; |
| if (antimeridian ^ (sign * lambda2 < lambdai && lambdai < sign * lambda)) { |
| phii = inflection[1] * degrees; |
| if (phii > phi1) phi1 = phii; |
| } else if (lambdai = (lambdai + 360) % 360 - 180, antimeridian ^ (sign * lambda2 < lambdai && lambdai < sign * lambda)) { |
| phii = -inflection[1] * degrees; |
| if (phii < phi0) phi0 = phii; |
| } else { |
| if (phi < phi0) phi0 = phi; |
| if (phi > phi1) phi1 = phi; |
| } |
| if (antimeridian) { |
| if (lambda < lambda2) { |
| if (angle(lambda0, lambda) > angle(lambda0, lambda1)) lambda1 = lambda; |
| } else { |
| if (angle(lambda, lambda1) > angle(lambda0, lambda1)) lambda0 = lambda; |
| } |
| } else { |
| if (lambda1 >= lambda0) { |
| if (lambda < lambda0) lambda0 = lambda; |
| if (lambda > lambda1) lambda1 = lambda; |
| } else { |
| if (lambda > lambda2) { |
| if (angle(lambda0, lambda) > angle(lambda0, lambda1)) lambda1 = lambda; |
| } else { |
| if (angle(lambda, lambda1) > angle(lambda0, lambda1)) lambda0 = lambda; |
| } |
| } |
| } |
| } else { |
| ranges.push(range = [lambda0 = lambda, lambda1 = lambda]); |
| } |
| if (phi < phi0) phi0 = phi; |
| if (phi > phi1) phi1 = phi; |
| p0 = p, lambda2 = lambda; |
| } |
|
|
| function boundsLineStart() { |
| boundsStream.point = linePoint; |
| } |
|
|
| function boundsLineEnd() { |
| range[0] = lambda0, range[1] = lambda1; |
| boundsStream.point = boundsPoint; |
| p0 = null; |
| } |
|
|
| function boundsRingPoint(lambda, phi) { |
| if (p0) { |
| var delta = lambda - lambda2; |
| deltaSum.add(abs(delta) > 180 ? delta + (delta > 0 ? 360 : -360) : delta); |
| } else { |
| lambda00 = lambda, phi00 = phi; |
| } |
| areaStream.point(lambda, phi); |
| linePoint(lambda, phi); |
| } |
|
|
| function boundsRingStart() { |
| areaStream.lineStart(); |
| } |
|
|
| function boundsRingEnd() { |
| boundsRingPoint(lambda00, phi00); |
| areaStream.lineEnd(); |
| if (abs(deltaSum) > epsilon) lambda0 = -(lambda1 = 180); |
| range[0] = lambda0, range[1] = lambda1; |
| p0 = null; |
| } |
|
|
| |
| |
| |
| function angle(lambda0, lambda1) { |
| return (lambda1 -= lambda0) < 0 ? lambda1 + 360 : lambda1; |
| } |
|
|
| function rangeCompare(a, b) { |
| return a[0] - b[0]; |
| } |
|
|
| function rangeContains(range, x) { |
| return range[0] <= range[1] ? range[0] <= x && x <= range[1] : x < range[0] || range[1] < x; |
| } |
|
|
| export default function(feature) { |
| var i, n, a, b, merged, deltaMax, delta; |
|
|
| phi1 = lambda1 = -(lambda0 = phi0 = Infinity); |
| ranges = []; |
| stream(feature, boundsStream); |
|
|
| |
| if (n = ranges.length) { |
| ranges.sort(rangeCompare); |
|
|
| |
| for (i = 1, a = ranges[0], merged = [a]; i < n; ++i) { |
| b = ranges[i]; |
| if (rangeContains(a, b[0]) || rangeContains(a, b[1])) { |
| if (angle(a[0], b[1]) > angle(a[0], a[1])) a[1] = b[1]; |
| if (angle(b[0], a[1]) > angle(a[0], a[1])) a[0] = b[0]; |
| } else { |
| merged.push(a = b); |
| } |
| } |
|
|
| |
| |
| for (deltaMax = -Infinity, n = merged.length - 1, i = 0, a = merged[n]; i <= n; a = b, ++i) { |
| b = merged[i]; |
| if ((delta = angle(a[1], b[0])) > deltaMax) deltaMax = delta, lambda0 = b[0], lambda1 = a[1]; |
| } |
| } |
|
|
| ranges = range = null; |
|
|
| return lambda0 === Infinity || phi0 === Infinity |
| ? [[NaN, NaN], [NaN, NaN]] |
| : [[lambda0, phi0], [lambda1, phi1]]; |
| } |
|
|