text: // https://d3js.org/d3-geo/ v1.11.2 Copyright 2018 Mike Bostock
  (function (global, factory) {
  typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports, require('d3-array')) :
  typeof define === 'function' && define.amd ? define(['exports', 'd3-array'], factory) :
  (factory((global.d3 = global.d3 || {}),global.d3));
  }(this, (function (exports,d3Array) { 'use strict';
  
  // Adds floating point numbers with twice the normal precision.
  // Reference: J. R. Shewchuk, Adaptive Precision Floating-Point Arithmetic and
  // Fast Robust Geometric Predicates, Discrete & Computational Geometry 18(3)
  // 305–363 (1997).
  // Code adapted from GeographicLib by Charles F. F. Karney,
  // http://geographiclib.sourceforge.net/
  
  function adder() {
    return new Adder;
  }
  
  function Adder() {
    this.reset();
  }
  
  Adder.prototype = {
    constructor: Adder,
    reset: function() {
      this.s = // rounded value
      this.t = 0; // exact error
    },
    add: function(y) {
      add(temp, y, this.t);
      add(this, temp.s, this.s);
      if (this.s) this.t += temp.t;
      else this.s = temp.t;
    },
    valueOf: function() {
      return this.s;
    }
  };
  
  var temp = new Adder;
  
  function add(adder, a, b) {
    var x = adder.s = a + b,
        bv = x - a,
        av = x - bv;
    adder.t = (a - av) + (b - bv);
  }
  
  var epsilon = 1e-6;
  var epsilon2 = 1e-12;
  var pi = Math.PI;
  var halfPi = pi / 2;
  var quarterPi = pi / 4;
  var tau = pi * 2;
  
  var degrees = 180 / pi;
  var radians = pi / 180;
  
  var abs = Math.abs;
  var atan = Math.atan;
  var atan2 = Math.atan2;
  var cos = Math.cos;
  var ceil = Math.ceil;
  var exp = Math.exp;
  var log = Math.log;
  var pow = Math.pow;
  var sin = Math.sin;
  var sign = Math.sign || function(x) { return x > 0 ? 1 : x < 0 ? -1 : 0; };
  var sqrt = Math.sqrt;
  var tan = Math.tan;
  
  function acos(x) {
    return x > 1 ? 0 : x < -1 ? pi : Math.acos(x);
  }
  
  function asin(x) {
    return x > 1 ? halfPi : x < -1 ? -halfPi : Math.asin(x);
  }
  
  function haversin(x) {
    return (x = sin(x / 2)) * x;
  }
  
  function noop() {}
  
  function streamGeometry(geometry, stream) {
    if (geometry && streamGeometryType.hasOwnProperty(geometry.type)) {
      streamGeometryType[geometry.type](geometry, stream);
    }
  }
  
  var streamObjectType = {
    Feature: function(object, stream) {
      streamGeometry(object.geometry, stream);
    },
    FeatureCollection: function(object, stream) {
      var features = object.features, i = -1, n = features.length;
      while (++i < n) streamGeometry(features[i].geometry, stream);
    }
  };
  
  var streamGeometryType = {
    Sphere: function(object, stream) {
      stream.sphere();
    },
    Point: function(object, stream) {
      object = object.coordinates;
      stream.point(object[0], object[1], object[2]);
    },
    MultiPoint: function(object, stream) {
      var coordinates = object.coordinates, i = -1, n = coordinates.length;
      while (++i < n) object = coordinates[i], stream.point(object[0], object[1], object[2]);
    },
    LineString: function(object, stream) {
      streamLine(object.coordinates, stream, 0);
    },
    MultiLineString: function(object, stream) {
      var coordinates = object.coordinates, i = -1, n = coordinates.length;
      while (++i < n) streamLine(coordinates[i], stream, 0);
    },
    Polygon: function(object, stream) {
      streamPolygon(object.coordinates, stream);
    },
    MultiPolygon: function(object, stream) {
      var coordinates = object.coordinates, i = -1, n = coordinates.length;
      while (++i < n) streamPolygon(coordinates[i], stream);
    },
    GeometryCollection: function(object, stream) {
      var geometries = object.geometries, i = -1, n = geometries.length;
      while (++i < n) streamGeometry(geometries[i], stream);
    }
  };
  
  function streamLine(coordinates, stream, closed) {
    var i = -1, n = coordinates.length - closed, coordinate;
    stream.lineStart();
    while (++i < n) coordinate = coordinates[i], stream.point(coordinate[0], coordinate[1], coordinate[2]);
    stream.lineEnd();
  }
  
  function streamPolygon(coordinates, stream) {
    var i = -1, n = coordinates.length;
    stream.polygonStart();
    while (++i < n) streamLine(coordinates[i], stream, 1);
    stream.polygonEnd();
  }
  
  function geoStream(object, stream) {
    if (object && streamObjectType.hasOwnProperty(object.type)) {
      streamObjectType[object.type](object, stream);
    } else {
      streamGeometry(object, stream);
    }
  }
  
  var areaRingSum = adder();
  
  var areaSum = adder(),
      lambda00,
      phi00,
      lambda0,
      cosPhi0,
      sinPhi0;
  
  var areaStream = {
    point: noop,
    lineStart: noop,
    lineEnd: noop,
    polygonStart: function() {
      areaRingSum.reset();
      areaStream.lineStart = areaRingStart;
      areaStream.lineEnd = areaRingEnd;
    },
    polygonEnd: function() {
      var areaRing = +areaRingSum;
      areaSum.add(areaRing < 0 ? tau + areaRing : areaRing);
      this.lineStart = this.lineEnd = this.point = noop;
    },
    sphere: function() {
      areaSum.add(tau);
    }
  };
  
  function areaRingStart() {
    areaStream.point = areaPointFirst;
  }
  
  function areaRingEnd() {
    areaPoint(lambda00, phi00);
  }
  
  function areaPointFirst(lambda, phi) {
    areaStream.point = areaPoint;
    lambda00 = lambda, phi00 = phi;
    lambda *= radians, phi *= radians;
    lambda0 = lambda, cosPhi0 = cos(phi = phi / 2 + quarterPi), sinPhi0 = sin(phi);
  }
  
  function areaPoint(lambda, phi) {
    lambda *= radians, phi *= radians;
    phi = phi / 2 + quarterPi; // half the angular distance from south pole
  
    // Spherical excess E for a spherical triangle with vertices: south pole,
    // previous point, current point.  Uses a formula derived from Cagnoli’s
    // theorem.  See Todhunter, Spherical Trig. (1871), Sec. 103, Eq. (2).
    var dLambda = lambda - lambda0,
        sdLambda = dLambda >= 0 ? 1 : -1,
        adLambda = sdLambda * dLambda,
        cosPhi = cos(phi),
        sinPhi = sin(phi),
        k = sinPhi0 * sinPhi,
        u = cosPhi0 * cosPhi + k * cos(adLambda),
        v = k * sdLambda * sin(adLambda);
    areaRingSum.add(atan2(v, u));
  
    // Advance the previous points.
    lambda0 = lambda, cosPhi0 = cosPhi, sinPhi0 = sinPhi;
  }
  
  function area(object) {
    areaSum.reset();
    geoStream(object, areaStream);
    return areaSum * 2;
  }
  
  function spherical(cartesian) {
    return [atan2(cartesian[1], cartesian[0]), asin(cartesian[2])];
  }
  
  function cartesian(spherical) {
    var lambda = spherical[0], phi = spherical[1], cosPhi = cos(phi);
    return [cosPhi * cos(lambda), cosPhi * sin(lambda), sin(phi)];
  }
  
  function cartesianDot(a, b) {
    return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
  }
  
  function cartesianCross(a, b) {
    return [a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0]];
  }
  
  // TODO return a
  function cartesianAddInPlace(a, b) {
    a[0] += b[0], a[1] += b[1], a[2] += b[2];
  }
  
  function cartesianScale(vector, k) {
    return [vector[0] * k, vector[1] * k, vector[2] * k];
  }
  
  // TODO return d
  function cartesianNormalizeInPlace(d) {
    var l = sqrt(d[0] * d[0] + d[1] * d[1] + d[2] * d[2]);
    d[0] /= l, d[1] /= l, d[2] /= l;
  }
  
  var lambda0$1, phi0, lambda1, phi1, // bounds
      lambda2, // previous lambda-coordinate
      lambda00$1, phi00$1, // first point
      p0, // previous 3D point
      deltaSum = adder(),
      ranges,
      range;
  
  var boundsStream = {
    point: boundsPoint,
    lineStart: boundsLineStart,
    lineEnd: boundsLineEnd,
    polygonStart: function() {
      boundsStream.point = boundsRingPoint;
      boundsStream.lineStart = boundsRingStart;
      boundsStream.lineEnd = boundsRingEnd;
      deltaSum.reset();
      areaStream.polygonStart();
    },
    polygonEnd: function() {
      areaStream.polygonEnd();
      boundsStream.point = boundsPoint;
      boundsStream.lineStart = boundsLineStart;
      boundsStream.lineEnd = boundsLineEnd;
      if (areaRingSum < 0) lambda0$1 = -(lambda1 = 180), phi0 = -(phi1 = 90);
      else if (deltaSum > epsilon) phi1 = 90;
      else if (deltaSum < -epsilon) phi0 = -90;
      range[0] = lambda0$1, range[1] = lambda1;
    }
  };
  
  function boundsPoint(lambda, phi) {
    ranges.push(range = [lambda0$1 = 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$$1 = delta > 0 ? 1 : -1,
          lambdai = inflection[0] * degrees * sign$$1,
          phii,
          antimeridian = abs(delta) > 180;
      if (antimeridian ^ (sign$$1 * lambda2 < lambdai && lambdai < sign$$1 * lambda)) {
        phii = inflection[1] * degrees;
        if (phii > phi1) phi1 = phii;
      } else if (lambdai = (lambdai + 360) % 360 - 180, antimeridian ^ (sign$$1 * lambda2 < lambdai && lambdai < sign$$1 * 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$1, lambda) > angle(lambda0$1, lambda1)) lambda1 = lambda;
        } else {
          if (angle(lambda, lambda1) > angle(lambda0$1, lambda1)) lambda0$1 = lambda;
        }
      } else {
        if (lambda1 >= lambda0$1) {
          if (lambda < lambda0$1) lambda0$1 = lambda;
          if (lambda > lambda1) lambda1 = lambda;
        } else {
          if (lambda > lambda2) {
            if (angle(lambda0$1, lambda) > angle(lambda0$1, lambda1)) lambda1 = lambda;
          } else {
            if (angle(lambda, lambda1) > angle(lambda0$1, lambda1)) lambda0$1 = lambda;
          }
        }
      }
    } else {
      ranges.push(range = [lambda0$1 = 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$1, 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$1 = lambda, phi00$1 = phi;
    }
    areaStream.point(lambda, phi);
    linePoint(lambda, phi);
  }
  
  function boundsRingStart() {
    areaStream.lineStart();
  }
  
  function boundsRingEnd() {
    boundsRingPoint(lambda00$1, phi00$1);
    areaStream.lineEnd();
    if (abs(deltaSum) > epsilon) lambda0$1 = -(lambda1 = 180);
    range[0] = lambda0$1, range[1] = lambda1;
    p0 = null;
  }
  
  // Finds the left-right distance between two longitudes.
  // This is almost the same as (lambda1 - lambda0 + 360°) % 360°, except that we want
  // the distance between ±180° to be 360°.
  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;
  }
  
  function bounds(feature) {
    var i, n, a, b, merged, deltaMax, delta;
  
    phi1 = lambda1 = -(lambda0$1 = phi0 = Infinity);
    ranges = [];
    geoStream(feature, boundsStream);
  
    // First, sort ranges by their minimum longitudes.
    if (n = ranges.length) {
      ranges.sort(rangeCompare);
  
      // Then, merge any ranges that overlap.
      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);
        }
      }
  
      // Finally, find the largest gap between the merged ranges.
      // The final bounding box will be the inverse of this gap.
      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$1 = b[0], lambda1 = a[1];
      }
    }
  
    ranges = range = null;
  
    return lambda0$1 === Infinity || phi0 === Infinity
        ? [[NaN, NaN], [NaN, NaN]]
        : [[lambda0$1, phi0], [lambda1, phi1]];
  }
  
  var W0, W1,
      X0, Y0, Z0,
      X1, Y1, Z1,
      X2, Y2, Z2,
      lambda00$2, phi00$2, // first point
      x0, y0, z0; // previous point
  
  var centroidStream = {
    sphere: noop,
    point: centroidPoint,
    lineStart: centroidLineStart,
    lineEnd: centroidLineEnd,
    polygonStart: function() {
      centroidStream.lineStart = centroidRingStart;
      centroidStream.lineEnd = centroidRingEnd;
    },
    polygonEnd: function() {
      centroidStream.lineStart = centroidLineStart;
      centroidStream.lineEnd = centroidLineEnd;
    }
  };
  
  // Arithmetic mean of Cartesian vectors.
  function centroidPoint(lambda, phi) {
    lambda *= radians, phi *= radians;
    var cosPhi = cos(phi);
    centroidPointCartesian(cosPhi * cos(lambda), cosPhi * sin(lambda), sin(phi));
  }
  
  function centroidPointCartesian(x, y, z) {
    ++W0;
    X0 += (x - X0) / W0;
    Y0 += (y - Y0) / W0;
    Z0 += (z - Z0) / W0;
  }
  
  function centroidLineStart() {
    centroidStream.point = centroidLinePointFirst;
  }
  
  function centroidLinePointFirst(lambda, phi) {
    lambda *= radians, phi *= radians;
    var cosPhi = cos(phi);
    x0 = cosPhi * cos(lambda);
    y0 = cosPhi * sin(lambda);
    z0 = sin(phi);
    centroidStream.point = centroidLinePoint;
    centroidPointCartesian(x0, y0, z0);
  }
  
  function centroidLinePoint(lambda, phi) {
    lambda *= radians, phi *= radians;
    var cosPhi = cos(phi),
        x = cosPhi * cos(lambda),
        y = cosPhi * sin(lambda),
        z = sin(phi),
        w = atan2(sqrt((w = y0 * z - z0 * y) * w + (w = z0 * x - x0 * z) * w + (w = x0 * y - y0 * x) * w), x0 * x + y0 * y + z0 * z);
    W1 += w;
    X1 += w * (x0 + (x0 = x));
    Y1 += w * (y0 + (y0 = y));
    Z1 += w * (z0 + (z0 = z));
    centroidPointCartesian(x0, y0, z0);
  }
  
  function centroidLineEnd() {
    centroidStream.point = centroidPoint;
  }
  
  // See J. E. Brock, The Inertia Tensor for a Spherical Triangle,
  // J. Applied Mechanics 42, 239 (1975).
  function centroidRingStart() {
    centroidStream.point = centroidRingPointFirst;
  }
  
  function centroidRingEnd() {
    centroidRingPoint(lambda00$2, phi00$2);
    centroidStream.point = centroidPoint;
  }
  
  function centroidRingPointFirst(lambda, phi) {
    lambda00$2 = lambda, phi00$2 = phi;
    lambda *= radians, phi *= radians;
    centroidStream.point = centroidRingPoint;
    var cosPhi = cos(phi);
    x0 = cosPhi * cos(lambda);
    y0 = cosPhi * sin(lambda);
    z0 = sin(phi);
    centroidPointCartesian(x0, y0, z0);
  }
  
  function centroidRingPoint(lambda, phi) {
    lambda *= radians, phi *= radians;
    var cosPhi = cos(phi),
        x = cosPhi * cos(lambda),
        y = cosPhi * sin(lambda),
        z = sin(phi),
        cx = y0 * z - z0 * y,
        cy = z0 * x - x0 * z,
        cz = x0 * y - y0 * x,
        m = sqrt(cx * cx + cy * cy + cz * cz),
        w = asin(m), // line weight = angle
        v = m && -w / m; // area weight multiplier
    X2 += v * cx;
    Y2 += v * cy;
    Z2 += v * cz;
    W1 += w;
    X1 += w * (x0 + (x0 = x));
    Y1 += w * (y0 + (y0 = y));
    Z1 += w * (z0 + (z0 = z));
    centroidPointCartesian(x0, y0, z0);
  }
  
  function centroid(object) {
    W0 = W1 =
    X0 = Y0 = Z0 =
    X1 = Y1 = Z1 =
    X2 = Y2 = Z2 = 0;
    geoStream(object, centroidStream);
  
    var x = X2,
        y = Y2,
        z = Z2,
        m = x * x + y * y + z * z;
  
    // If the area-weighted ccentroid is undefined, fall back to length-weighted ccentroid.
    if (m < epsilon2) {
      x = X1, y = Y1, z = Z1;
      // If the feature has zero length, fall back to arithmetic mean of point vectors.
      if (W1 < epsilon) x = X0, y = Y0, z = Z0;
      m = x * x + y * y + z * z;
      // If the feature still has an undefined ccentroid, then return.
      if (m < epsilon2) return [NaN, NaN];
    }
  
    return [atan2(y, x) * degrees, asin(z / sqrt(m)) * degrees];
  }
  
  function constant(x) {
    return function() {
      return x;
    };
  }
  
  function compose(a, b) {
  
    function compose(x, y) {
      return x = a(x, y), b(x[0], x[1]);
    }
  
    if (a.invert && b.invert) compose.invert = function(x, y) {
      return x = b.invert(x, y), x && a.invert(x[0], x[1]);
    };
  
    return compose;
  }
  
  function rotationIdentity(lambda, phi) {
    return [abs(lambda) > pi ? lambda + Math.round(-lambda / tau) * tau : lambda, phi];
  }
  
  rotationIdentity.invert = rotationIdentity;
  
  function rotateRadians(deltaLambda, deltaPhi, deltaGamma) {
    return (deltaLambda %= tau) ? (deltaPhi || deltaGamma ? compose(rotationLambda(deltaLambda), rotationPhiGamma(deltaPhi, deltaGamma))
      : rotationLambda(deltaLambda))
      : (deltaPhi || deltaGamma ? rotationPhiGamma(deltaPhi, deltaGamma)
      : rotationIdentity);
  }
  
  function forwardRotationLambda(deltaLambda) {
    return function(lambda, phi) {
      return lambda += deltaLambda, [lambda > pi ? lambda - tau : lambda < -pi ? lambda + tau : lambda, phi];
    };
  }
  
  function rotationLambda(deltaLambda) {
    var rotation = forwardRotationLambda(deltaLambda);
    rotation.invert = forwardRotationLambda(-deltaLambda);
    return rotation;
  }
  
  function rotationPhiGamma(deltaPhi, deltaGamma) {
    var cosDeltaPhi = cos(deltaPhi),
        sinDeltaPhi = sin(deltaPhi),
        cosDeltaGamma = cos(deltaGamma),
        sinDeltaGamma = sin(deltaGamma);
  
    function rotation(lambda, phi) {
      var cosPhi = cos(phi),
          x = cos(lambda) * cosPhi,
          y = sin(lambda) * cosPhi,
          z = sin(phi),
          k = z * cosDeltaPhi + x * sinDeltaPhi;
      return [
        atan2(y * cosDeltaGamma - k * sinDeltaGamma, x * cosDeltaPhi - z * sinDeltaPhi),
        asin(k * cosDeltaGamma + y * sinDeltaGamma)
      ];
    }
  
    rotation.invert = function(lambda, phi) {
      var cosPhi = cos(phi),
          x = cos(lambda) * cosPhi,
          y = sin(lambda) * cosPhi,
          z = sin(phi),
          k = z * cosDeltaGamma - y * sinDeltaGamma;
      return [
        atan2(y * cosDeltaGamma + z * sinDeltaGamma, x * cosDeltaPhi + k * sinDeltaPhi),
        asin(k * cosDeltaPhi - x * sinDeltaPhi)
      ];
    };
  
    return rotation;
  }
  
  function rotation(rotate) {
    rotate = rotateRadians(rotate[0] * radians, rotate[1] * radians, rotate.length > 2 ? rotate[2] * radians : 0);
  
    function forward(coordinates) {
      coordinates = rotate(coordinates[0] * radians, coordinates[1] * radians);
      return coordinates[0] *= degrees, coordinates[1] *= degrees, coordinates;
    }
  
    forward.invert = function(coordinates) {
      coordinates = rotate.invert(coordinates[0] * radians, coordinates[1] * radians);
      return coordinates[0] *= degrees, coordinates[1] *= degrees, coordinates;
    };
  
    return forward;
  }
  
  // Generates a circle centered at [0°, 0°], with a given radius and precision.
  function circleStream(stream, radius, delta, direction, t0, t1) {
    if (!delta) return;
    var cosRadius = cos(radius),
        sinRadius = sin(radius),
        step = direction * delta;
    if (t0 == null) {
      t0 = radius + direction * tau;
      t1 = radius - step / 2;
    } else {
      t0 = circleRadius(cosRadius, t0);
      t1 = circleRadius(cosRadius, t1);
      if (direction > 0 ? t0 < t1 : t0 > t1) t0 += direction * tau;
    }
    for (var point, t = t0; direction > 0 ? t > t1 : t < t1; t -= step) {
      point = spherical([cosRadius, -sinRadius * cos(t), -sinRadius * sin(t)]);
      stream.point(point[0], point[1]);
    }
  }
  
  // Returns the signed angle of a cartesian point relative to [cosRadius, 0, 0].
  function circleRadius(cosRadius, point) {
    point = cartesian(point), point[0] -= cosRadius;
    cartesianNormalizeInPlace(point);
    var radius = acos(-point[1]);
    return ((-point[2] < 0 ? -radius : radius) + tau - epsilon) % tau;
  }
  
  function circle() {
    var center = constant([0, 0]),
        radius = constant(90),
        precision = constant(6),
        ring,
        rotate,
        stream = {point: point};
  
    function point(x, y) {
      ring.push(x = rotate(x, y));
      x[0] *= degrees, x[1] *= degrees;
    }
  
    function circle() {
      var c = center.apply(this, arguments),
          r = radius.apply(this, arguments) * radians,
          p = precision.apply(this, arguments) * radians;
      ring = [];
      rotate = rotateRadians(-c[0] * radians, -c[1] * radians, 0).invert;
      circleStream(stream, r, p, 1);
      c = {type: "Polygon", coordinates: [ring]};
      ring = rotate = null;
      return c;
    }
  
    circle.center = function(_) {
      return arguments.length ? (center = typeof _ === "function" ? _ : constant([+_[0], +_[1]]), circle) : center;
    };
  
    circle.radius = function(_) {
      return arguments.length ? (radius = typeof _ === "function" ? _ : constant(+_), circle) : radius;
    };
  
    circle.precision = function(_) {
      return arguments.length ? (precision = typeof _ === "function" ? _ : constant(+_), circle) : precision;
    };
  
    return circle;
  }
  
  function clipBuffer() {
    var lines = [],
        line;
    return {
      point: function(x, y) {
        line.push([x, y]);
      },
      lineStart: function() {
        lines.push(line = []);
      },
      lineEnd: noop,
      rejoin: function() {
        if (lines.length > 1) lines.push(lines.pop().concat(lines.shift()));
      },
      result: function() {
        var result = lines;
        lines = [];
        line = null;
        return result;
      }
    };
  }
  
  function pointEqual(a, b) {
    return abs(a[0] - b[0]) < epsilon && abs(a[1] - b[1]) < epsilon;
  }
  
  function Intersection(point, points, other, entry) {
    this.x = point;
    this.z = points;
    this.o = other; // another intersection
    this.e = entry; // is an entry?
    this.v = false; // visited
    this.n = this.p = null; // next & previous
  }
  
  // A generalized polygon clipping algorithm: given a polygon that has been cut
  // into its visible line segments, and rejoins the segments by interpolating
  // along the clip edge.
  function clipRejoin(segments, compareIntersection, startInside, interpolate, stream) {
    var subject = [],
        clip = [],
        i,
        n;
  
    segments.forEach(function(segment) {
      if ((n = segment.length - 1) <= 0) return;
      var n, p0 = segment[0], p1 = segment[n], x;
  
      // If the first and last points of a segment are coincident, then treat as a
      // closed ring. TODO if all rings are closed, then the winding order of the
      // exterior ring should be checked.
      if (pointEqual(p0, p1)) {
        stream.lineStart();
        for (i = 0; i < n; ++i) stream.point((p0 = segment[i])[0], p0[1]);
        stream.lineEnd();
        return;
      }
  
      subject.push(x = new Intersection(p0, segment, null, true));
      clip.push(x.o = new Intersection(p0, null, x, false));
      subject.push(x = new Intersection(p1, segment, null, false));
      clip.push(x.o = new Intersection(p1, null, x, true));
    });
  
    if (!subject.length) return;
  
    clip.sort(compareIntersection);
    link(subject);
    link(clip);
  
    for (i = 0, n = clip.length; i < n; ++i) {
      clip[i].e = startInside = !startInside;
    }
  
    var start = subject[0],
        points,
        point;
  
    while (1) {
      // Find first unvisited intersection.
      var current = start,
          isSubject = true;
      while (current.v) if ((current = current.n) === start) return;
      points = current.z;
      stream.lineStart();
      do {
        current.v = current.o.v = true;
        if (current.e) {
          if (isSubject) {
            for (i = 0, n = points.length; i < n; ++i) stream.point((point = points[i])[0], point[1]);
          } else {
            interpolate(current.x, current.n.x, 1, stream);
          }
          current = current.n;
        } else {
          if (isSubject) {
            points = current.p.z;
            for (i = points.length - 1; i >= 0; --i) stream.point((point = points[i])[0], point[1]);
          } else {
            interpolate(current.x, current.p.x, -1, stream);
          }
          current = current.p;
        }
        current = current.o;
        points = current.z;
        isSubject = !isSubject;
      } while (!current.v);
      stream.lineEnd();
    }
  }
  
  function link(array) {
    if (!(n = array.length)) return;
    var n,
        i = 0,
        a = array[0],
        b;
    while (++i < n) {
      a.n = b = array[i];
      b.p = a;
      a = b;
    }
    a.n = b = array[0];
    b.p = a;
  }
  
  var sum = adder();
  
  function polygonContains(polygon, point) {
    var lambda = point[0],
        phi = point[1],
        sinPhi = sin(phi),
        normal = [sin(lambda), -cos(lambda), 0],
        angle = 0,
        winding = 0;
  
    sum.reset();
  
    if (sinPhi === 1) phi = halfPi + epsilon;
    else if (sinPhi === -1) phi = -halfPi - epsilon;
  
    for (var i = 0, n = polygon.length; i < n; ++i) {
      if (!(m = (ring = polygon[i]).length)) continue;
      var ring,
          m,
          point0 = ring[m - 1],
          lambda0 = point0[0],
          phi0 = point0[1] / 2 + quarterPi,
          sinPhi0 = sin(phi0),
          cosPhi0 = cos(phi0);
  
      for (var j = 0; j < m; ++j, lambda0 = lambda1, sinPhi0 = sinPhi1, cosPhi0 = cosPhi1, point0 = point1) {
        var point1 = ring[j],
            lambda1 = point1[0],
            phi1 = point1[1] / 2 + quarterPi,
            sinPhi1 = sin(phi1),
            cosPhi1 = cos(phi1),
            delta = lambda1 - lambda0,
            sign$$1 = delta >= 0 ? 1 : -1,
            absDelta = sign$$1 * delta,
            antimeridian = absDelta > pi,
            k = sinPhi0 * sinPhi1;
  
        sum.add(atan2(k * sign$$1 * sin(absDelta), cosPhi0 * cosPhi1 + k * cos(absDelta)));
        angle += antimeridian ? delta + sign$$1 * tau : delta;
  
        // Are the longitudes either side of the point’s meridian (lambda),
        // and are the latitudes smaller than the parallel (phi)?
        if (antimeridian ^ lambda0 >= lambda ^ lambda1 >= lambda) {
          var arc = cartesianCross(cartesian(point0), cartesian(point1));
          cartesianNormalizeInPlace(arc);
          var intersection = cartesianCross(normal, arc);
          cartesianNormalizeInPlace(intersection);
          var phiArc = (antimeridian ^ delta >= 0 ? -1 : 1) * asin(intersection[2]);
          if (phi > phiArc || phi === phiArc && (arc[0] || arc[1])) {
            winding += antimeridian ^ delta >= 0 ? 1 : -1;
          }
        }
      }
    }
  
    // First, determine whether the South pole is inside or outside:
    //
    // It is inside if:
    // * the polygon winds around it in a clockwise direction.
    // * the polygon does not (cumulatively) wind around it, but has a negative
    //   (counter-clockwise) area.
    //
    // Second, count the (signed) number of times a segment crosses a lambda
    // from the point to the South pole.  If it is zero, then the point is the
    // same side as the South pole.
  
    return (angle < -epsilon || angle < epsilon && sum < -epsilon) ^ (winding & 1);
  }
  
  function clip(pointVisible, clipLine, interpolate, start) {
    return function(sink) {
      var line = clipLine(sink),
          ringBuffer = clipBuffer(),
          ringSink = clipLine(ringBuffer),
          polygonStarted = false,
          polygon,
          segments,
          ring;
  
      var clip = {
        point: point,
        lineStart: lineStart,
        lineEnd: lineEnd,
        polygonStart: function() {
          clip.point = pointRing;
          clip.lineStart = ringStart;
          clip.lineEnd = ringEnd;
          segments = [];
          polygon = [];
        },
        polygonEnd: function() {
          clip.point = point;
          clip.lineStart = lineStart;
          clip.lineEnd = lineEnd;
          segments = d3Array.merge(segments);
          var startInside = polygonContains(polygon, start);
          if (segments.length) {
            if (!polygonStarted) sink.polygonStart(), polygonStarted = true;
            clipRejoin(segments, compareIntersection, startInside, interpolate, sink);
          } else if (startInside) {
            if (!polygonStarted) sink.polygonStart(), polygonStarted = true;
            sink.lineStart();
            interpolate(null, null, 1, sink);
            sink.lineEnd();
          }
          if (polygonStarted) sink.polygonEnd(), polygonStarted = false;
          segments = polygon = null;
        },
        sphere: function() {
          sink.polygonStart();
          sink.lineStart();
          interpolate(null, null, 1, sink);
          sink.lineEnd();
          sink.polygonEnd();
        }
      };
  
      function point(lambda, phi) {
        if (pointVisible(lambda, phi)) sink.point(lambda, phi);
      }
  
      function pointLine(lambda, phi) {
        line.point(lambda, phi);
      }
  
      function lineStart() {
        clip.point = pointLine;
        line.lineStart();
      }
  
      function lineEnd() {
        clip.point = point;
        line.lineEnd();
      }
  
      function pointRing(lambda, phi) {
        ring.push([lambda, phi]);
        ringSink.point(lambda, phi);
      }
  
      function ringStart() {
        ringSink.lineStart();
        ring = [];
      }
  
      function ringEnd() {
        pointRing(ring[0][0], ring[0][1]);
        ringSink.lineEnd();
  
        var clean = ringSink.clean(),
            ringSegments = ringBuffer.result(),
            i, n = ringSegments.length, m,
            segment,
            point;
  
        ring.pop();
        polygon.push(ring);
        ring = null;
  
        if (!n) return;
  
        // No intersections.
        if (clean & 1) {
          segment = ringSegments[0];
          if ((m = segment.length - 1) > 0) {
            if (!polygonStarted) sink.polygonStart(), polygonStarted = true;
            sink.lineStart();
            for (i = 0; i < m; ++i) sink.point((point = segment[i])[0], point[1]);
            sink.lineEnd();
          }
          return;
        }
  
        // Rejoin connected segments.
        // TODO reuse ringBuffer.rejoin()?
        if (n > 1 && clean & 2) ringSegments.push(ringSegments.pop().concat(ringSegments.shift()));
  
        segments.push(ringSegments.filter(validSegment));
      }
  
      return clip;
    };
  }
  
  function validSegment(segment) {
    return segment.length > 1;
  }
  
  // Intersections are sorted along the clip edge. For both antimeridian cutting
  // and circle clipping, the same comparison is used.
  function compareIntersection(a, b) {
    return ((a = a.x)[0] < 0 ? a[1] - halfPi - epsilon : halfPi - a[1])
         - ((b = b.x)[0] < 0 ? b[1] - halfPi - epsilon : halfPi - b[1]);
  }
  
  var clipAntimeridian = clip(
    function() { return true; },
    clipAntimeridianLine,
    clipAntimeridianInterpolate,
    [-pi, -halfPi]
  );
  
  // Takes a line and cuts into visible segments. Return values: 0 - there were
  // intersections or the line was empty; 1 - no intersections; 2 - there were
  // intersections, and the first and last segments should be rejoined.
  function clipAntimeridianLine(stream) {
    var lambda0 = NaN,
        phi0 = NaN,
        sign0 = NaN,
        clean; // no intersections
  
    return {
      lineStart: function() {
        stream.lineStart();
        clean = 1;
      },
      point: function(lambda1, phi1) {
        var sign1 = lambda1 > 0 ? pi : -pi,
            delta = abs(lambda1 - lambda0);
        if (abs(delta - pi) < epsilon) { // line crosses a pole
          stream.point(lambda0, phi0 = (phi0 + phi1) / 2 > 0 ? halfPi : -halfPi);
          stream.point(sign0, phi0);
          stream.lineEnd();
          stream.lineStart();
          stream.point(sign1, phi0);
          stream.point(lambda1, phi0);
          clean = 0;
        } else if (sign0 !== sign1 && delta >= pi) { // line crosses antimeridian
          if (abs(lambda0 - sign0) < epsilon) lambda0 -= sign0 * epsilon; // handle degeneracies
          if (abs(lambda1 - sign1) < epsilon) lambda1 -= sign1 * epsilon;
          phi0 = clipAntimeridianIntersect(lambda0, phi0, lambda1, phi1);
          stream.point(sign0, phi0);
          stream.lineEnd();
          stream.lineStart();
          stream.point(sign1, phi0);
          clean = 0;
        }
        stream.point(lambda0 = lambda1, phi0 = phi1);
        sign0 = sign1;
      },
      lineEnd: function() {
        stream.lineEnd();
        lambda0 = phi0 = NaN;
      },
      clean: function() {
        return 2 - clean; // if intersections, rejoin first and last segments
      }
    };
  }
  
  function clipAntimeridianIntersect(lambda0, phi0, lambda1, phi1) {
    var cosPhi0,
        cosPhi1,
        sinLambda0Lambda1 = sin(lambda0 - lambda1);
    return abs(sinLambda0Lambda1) > epsilon
        ? atan((sin(phi0) * (cosPhi1 = cos(phi1)) * sin(lambda1)
            - sin(phi1) * (cosPhi0 = cos(phi0)) * sin(lambda0))
            / (cosPhi0 * cosPhi1 * sinLambda0Lambda1))
        : (phi0 + phi1) / 2;
  }
  
  function clipAntimeridianInterpolate(from, to, direction, stream) {
    var phi;
    if (from == null) {
      phi = direction * halfPi;
      stream.point(-pi, phi);
      stream.point(0, phi);
      stream.point(pi, phi);
      stream.point(pi, 0);
      stream.point(pi, -phi);
      stream.point(0, -phi);
      stream.point(-pi, -phi);
      stream.point(-pi, 0);
      stream.point(-pi, phi);
    } else if (abs(from[0] - to[0]) > epsilon) {
      var lambda = from[0] < to[0] ? pi : -pi;
      phi = direction * lambda / 2;
      stream.point(-lambda, phi);
      stream.point(0, phi);
      stream.point(lambda, phi);
    } else {
      stream.point(to[0], to[1]);
    }
  }
  
  function clipCircle(radius) {
    var cr = cos(radius),
        delta = 6 * radians,
        smallRadius = cr > 0,
        notHemisphere = abs(cr) > epsilon; // TODO optimise for this common case
  
    function interpolate(from, to, direction, stream) {
      circleStream(stream, radius, delta, direction, from, to);
    }
  
    function visible(lambda, phi) {
      return cos(lambda) * cos(phi) > cr;
    }
  
    // Takes a line and cuts into visible segments. Return values used for polygon
    // clipping: 0 - there were intersections or the line was empty; 1 - no
    // intersections 2 - there were intersections, and the first and last segments
    // should be rejoined.
    function clipLine(stream) {
      var point0, // previous point
          c0, // code for previous point
          v0, // visibility of previous point
          v00, // visibility of first point
          clean; // no intersections
      return {
        lineStart: function() {
          v00 = v0 = false;
          clean = 1;
        },
        point: function(lambda, phi) {
          var point1 = [lambda, phi],
              point2,
              v = visible(lambda, phi),
              c = smallRadius
                ? v ? 0 : code(lambda, phi)
                : v ? code(lambda + (lambda < 0 ? pi : -pi), phi) : 0;
          if (!point0 && (v00 = v0 = v)) stream.lineStart();
          // Handle degeneracies.
          // TODO ignore if not clipping polygons.
          if (v !== v0) {
            point2 = intersect(point0, point1);
            if (!point2 || pointEqual(point0, point2) || pointEqual(point1, point2)) {
              point1[0] += epsilon;
              point1[1] += epsilon;
              v = visible(point1[0], point1[1]);
            }
          }
          if (v !== v0) {
            clean = 0;
            if (v) {
              // outside going in
              stream.lineStart();
              point2 = intersect(point1, point0);
              stream.point(point2[0], point2[1]);
            } else {
              // inside going out
              point2 = intersect(point0, point1);
              stream.point(point2[0], point2[1]);
              stream.lineEnd();
            }
            point0 = point2;
          } else if (notHemisphere && point0 && smallRadius ^ v) {
            var t;
            // If the codes for two points are different, or are both zero,
            // and there this segment intersects with the small circle.
            if (!(c & c0) && (t = intersect(point1, point0, true))) {
              clean = 0;
              if (smallRadius) {
                stream.lineStart();
                stream.point(t[0][0], t[0][1]);
                stream.point(t[1][0], t[1][1]);
                stream.lineEnd();
              } else {
                stream.point(t[1][0], t[1][1]);
                stream.lineEnd();
                stream.lineStart();
                stream.point(t[0][0], t[0][1]);
              }
            }
          }
          if (v && (!point0 || !pointEqual(point0, point1))) {
            stream.point(point1[0], point1[1]);
          }
          point0 = point1, v0 = v, c0 = c;
        },
        lineEnd: function() {
          if (v0) stream.lineEnd();
          point0 = null;
        },
        // Rejoin first and last segments if there were intersections and the first
        // and last points were visible.
        clean: function() {
          return clean | ((v00 && v0) << 1);
        }
      };
    }
  
    // Intersects the great circle between a and b with the clip circle.
    function intersect(a, b, two) {
      var pa = cartesian(a),
          pb = cartesian(b);
  
      // We have two planes, n1.p = d1 and n2.p = d2.
      // Find intersection line p(t) = c1 n1 + c2 n2 + t (n1 ⨯ n2).
      var n1 = [1, 0, 0], // normal
          n2 = cartesianCross(pa, pb),
          n2n2 = cartesianDot(n2, n2),
          n1n2 = n2[0], // cartesianDot(n1, n2),
          determinant = n2n2 - n1n2 * n1n2;
  
      // Two polar points.
      if (!determinant) return !two && a;
  
      var c1 =  cr * n2n2 / determinant,
          c2 = -cr * n1n2 / determinant,
          n1xn2 = cartesianCross(n1, n2),
          A = cartesianScale(n1, c1),
          B = cartesianScale(n2, c2);
      cartesianAddInPlace(A, B);
  
      // Solve |p(t)|^2 = 1.
      var u = n1xn2,
          w = cartesianDot(A, u),
          uu = cartesianDot(u, u),
          t2 = w * w - uu * (cartesianDot(A, A) - 1);
  
      if (t2 < 0) return;
  
      var t = sqrt(t2),
          q = cartesianScale(u, (-w - t) / uu);
      cartesianAddInPlace(q, A);
      q = spherical(q);
  
      if (!two) return q;
  
      // Two intersection points.
      var lambda0 = a[0],
          lambda1 = b[0],
          phi0 = a[1],
          phi1 = b[1],
          z;
  
      if (lambda1 < lambda0) z = lambda0, lambda0 = lambda1, lambda1 = z;
  
      var delta = lambda1 - lambda0,
          polar = abs(delta - pi) < epsilon,
          meridian = polar || delta < epsilon;
  
      if (!polar && phi1 < phi0) z = phi0, phi0 = phi1, phi1 = z;
  
      // Check that the first point is between a and b.
      if (meridian
          ? polar
            ? phi0 + phi1 > 0 ^ q[1] < (abs(q[0] - lambda0) < epsilon ? phi0 : phi1)
            : phi0 <= q[1] && q[1] <= phi1
          : delta > pi ^ (lambda0 <= q[0] && q[0] <= lambda1)) {
        var q1 = cartesianScale(u, (-w + t) / uu);
        cartesianAddInPlace(q1, A);
        return [q, spherical(q1)];
      }
    }
  
    // Generates a 4-bit vector representing the location of a point relative to
    // the small circle's bounding box.
    function code(lambda, phi) {
      var r = smallRadius ? radius : pi - radius,
          code = 0;
      if (lambda < -r) code |= 1; // left
      else if (lambda > r) code |= 2; // right
      if (phi < -r) code |= 4; // below
      else if (phi > r) code |= 8; // above
      return code;
    }
  
    return clip(visible, clipLine, interpolate, smallRadius ? [0, -radius] : [-pi, radius - pi]);
  }
  
  function clipLine(a, b, x0, y0, x1, y1) {
    var ax = a[0],
        ay = a[1],
        bx = b[0],
        by = b[1],
        t0 = 0,
        t1 = 1,
        dx = bx - ax,
        dy = by - ay,
        r;
  
    r = x0 - ax;
    if (!dx && r > 0) return;
    r /= dx;
    if (dx < 0) {
      if (r < t0) return;
      if (r < t1) t1 = r;
    } else if (dx > 0) {
      if (r > t1) return;
      if (r > t0) t0 = r;
    }
  
    r = x1 - ax;
    if (!dx && r < 0) return;
    r /= dx;
    if (dx < 0) {
      if (r > t1) return;
      if (r > t0) t0 = r;
    } else if (dx > 0) {
      if (r < t0) return;
      if (r < t1) t1 = r;
    }
  
    r = y0 - ay;
    if (!dy && r > 0) return;
    r /= dy;
    if (dy < 0) {
      if (r < t0) return;
      if (r < t1) t1 = r;
    } else if (dy > 0) {
      if (r > t1) return;
      if (r > t0) t0 = r;
    }
  
    r = y1 - ay;
    if (!dy && r < 0) return;
    r /= dy;
    if (dy < 0) {
      if (r > t1) return;
      if (r > t0) t0 = r;
    } else if (dy > 0) {
      if (r < t0) return;
      if (r < t1) t1 = r;
    }
  
    if (t0 > 0) a[0] = ax + t0 * dx, a[1] = ay + t0 * dy;
    if (t1 < 1) b[0] = ax + t1 * dx, b[1] = ay + t1 * dy;
    return true;
  }
  
  var clipMax = 1e9, clipMin = -clipMax;
  
  // TODO Use d3-polygon’s polygonContains here for the ring check?
  // TODO Eliminate duplicate buffering in clipBuffer and polygon.push?
  
  function clipRectangle(x0, y0, x1, y1) {
  
    function visible(x, y) {
      return x0 <= x && x <= x1 && y0 <= y && y <= y1;
    }
  
    function interpolate(from, to, direction, stream) {
      var a = 0, a1 = 0;
      if (from == null
          || (a = corner(from, direction)) !== (a1 = corner(to, direction))
          || comparePoint(from, to) < 0 ^ direction > 0) {
        do stream.point(a === 0 || a === 3 ? x0 : x1, a > 1 ? y1 : y0);
        while ((a = (a + direction + 4) % 4) !== a1);
      } else {
        stream.point(to[0], to[1]);
      }
    }
  
    function corner(p, direction) {
      return abs(p[0] - x0) < epsilon ? direction > 0 ? 0 : 3
          : abs(p[0] - x1) < epsilon ? direction > 0 ? 2 : 1
          : abs(p[1] - y0) < epsilon ? direction > 0 ? 1 : 0
          : direction > 0 ? 3 : 2; // abs(p[1] - y1) < epsilon
    }
  
    function compareIntersection(a, b) {
      return comparePoint(a.x, b.x);
    }
  
    function comparePoint(a, b) {
      var ca = corner(a, 1),
          cb = corner(b, 1);
      return ca !== cb ? ca - cb
          : ca === 0 ? b[1] - a[1]
          : ca === 1 ? a[0] - b[0]
          : ca === 2 ? a[1] - b[1]
          : b[0] - a[0];
    }
  
    return function(stream) {
      var activeStream = stream,
          bufferStream = clipBuffer(),
          segments,
          polygon,
          ring,
          x__, y__, v__, // first point
          x_, y_, v_, // previous point
          first,
          clean;
  
      var clipStream = {
        point: point,
        lineStart: lineStart,
        lineEnd: lineEnd,
        polygonStart: polygonStart,
        polygonEnd: polygonEnd
      };
  
      function point(x, y) {
        if (visible(x, y)) activeStream.point(x, y);
      }
  
      function polygonInside() {
        var winding = 0;
  
        for (var i = 0, n = polygon.length; i < n; ++i) {
          for (var ring = polygon[i], j = 1, m = ring.length, point = ring[0], a0, a1, b0 = point[0], b1 = point[1]; j < m; ++j) {
            a0 = b0, a1 = b1, point = ring[j], b0 = point[0], b1 = point[1];
            if (a1 <= y1) { if (b1 > y1 && (b0 - a0) * (y1 - a1) > (b1 - a1) * (x0 - a0)) ++winding; }
            else { if (b1 <= y1 && (b0 - a0) * (y1 - a1) < (b1 - a1) * (x0 - a0)) --winding; }
          }
        }
  
        return winding;
      }
  
      // Buffer geometry within a polygon and then clip it en masse.
      function polygonStart() {
        activeStream = bufferStream, segments = [], polygon = [], clean = true;
      }
  
      function polygonEnd() {
        var startInside = polygonInside(),
            cleanInside = clean && startInside,
            visible = (segments = d3Array.merge(segments)).length;
        if (cleanInside || visible) {
          stream.polygonStart();
          if (cleanInside) {
            stream.lineStart();
            interpolate(null, null, 1, stream);
            stream.lineEnd();
          }
          if (visible) {
            clipRejoin(segments, compareIntersection, startInside, interpolate, stream);
          }
          stream.polygonEnd();
        }
        activeStream = stream, segments = polygon = ring = null;
      }
  
      function lineStart() {
        clipStream.point = linePoint;
        if (polygon) polygon.push(ring = []);
        first = true;
        v_ = false;
        x_ = y_ = NaN;
      }
  
      // TODO rather than special-case polygons, simply handle them separately.
      // Ideally, coincident intersection points should be jittered to avoid
      // clipping issues.
      function lineEnd() {
        if (segments) {
          linePoint(x__, y__);
          if (v__ && v_) bufferStream.rejoin();
          segments.push(bufferStream.result());
        }
        clipStream.point = point;
        if (v_) activeStream.lineEnd();
      }
  
      function linePoint(x, y) {
        var v = visible(x, y);
        if (polygon) ring.push([x, y]);
        if (first) {
          x__ = x, y__ = y, v__ = v;
          first = false;
          if (v) {
            activeStream.lineStart();
            activeStream.point(x, y);
          }
        } else {
          if (v && v_) activeStream.point(x, y);
          else {
            var a = [x_ = Math.max(clipMin, Math.min(clipMax, x_)), y_ = Math.max(clipMin, Math.min(clipMax, y_))],
                b = [x = Math.max(clipMin, Math.min(clipMax, x)), y = Math.max(clipMin, Math.min(clipMax, y))];
            if (clipLine(a, b, x0, y0, x1, y1)) {
              if (!v_) {
                activeStream.lineStart();
                activeStream.point(a[0], a[1]);
              }
              activeStream.point(b[0], b[1]);
              if (!v) activeStream.lineEnd();
              clean = false;
            } else if (v) {
              activeStream.lineStart();
              activeStream.point(x, y);
              clean = false;
            }
          }
        }
        x_ = x, y_ = y, v_ = v;
      }
  
      return clipStream;
    };
  }
  
  function extent() {
    var x0 = 0,
        y0 = 0,
        x1 = 960,
        y1 = 500,
        cache,
        cacheStream,
        clip;
  
    return clip = {
      stream: function(stream) {
        return cache && cacheStream === stream ? cache : cache = clipRectangle(x0, y0, x1, y1)(cacheStream = stream);
      },
      extent: function(_) {
        return arguments.length ? (x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1], cache = cacheStream = null, clip) : [[x0, y0], [x1, y1]];
      }
    };
  }
  
  var lengthSum = adder(),
      lambda0$2,
      sinPhi0$1,
      cosPhi0$1;
  
  var lengthStream = {
    sphere: noop,
    point: noop,
    lineStart: lengthLineStart,
    lineEnd: noop,
    polygonStart: noop,
    polygonEnd: noop
  };
  
  function lengthLineStart() {
    lengthStream.point = lengthPointFirst;
    lengthStream.lineEnd = lengthLineEnd;
  }
  
  function lengthLineEnd() {
    lengthStream.point = lengthStream.lineEnd = noop;
  }
  
  function lengthPointFirst(lambda, phi) {
    lambda *= radians, phi *= radians;
    lambda0$2 = lambda, sinPhi0$1 = sin(phi), cosPhi0$1 = cos(phi);
    lengthStream.point = lengthPoint;
  }
  
  function lengthPoint(lambda, phi) {
    lambda *= radians, phi *= radians;
    var sinPhi = sin(phi),
        cosPhi = cos(phi),
        delta = abs(lambda - lambda0$2),
        cosDelta = cos(delta),
        sinDelta = sin(delta),
        x = cosPhi * sinDelta,
        y = cosPhi0$1 * sinPhi - sinPhi0$1 * cosPhi * cosDelta,
        z = sinPhi0$1 * sinPhi + cosPhi0$1 * cosPhi * cosDelta;
    lengthSum.add(atan2(sqrt(x * x + y * y), z));
    lambda0$2 = lambda, sinPhi0$1 = sinPhi, cosPhi0$1 = cosPhi;
  }
  
  function length(object) {
    lengthSum.reset();
    geoStream(object, lengthStream);
    return +lengthSum;
  }
  
  var coordinates = [null, null],
      object = {type: "LineString", coordinates: coordinates};
  
  function distance(a, b) {
    coordinates[0] = a;
    coordinates[1] = b;
    return length(object);
  }
  
  var containsObjectType = {
    Feature: function(object, point) {
      return containsGeometry(object.geometry, point);
    },
    FeatureCollection: function(object, point) {
      var features = object.features, i = -1, n = features.length;
      while (++i < n) if (containsGeometry(features[i].geometry, point)) return true;
      return false;
    }
  };
  
  var containsGeometryType = {
    Sphere: function() {
      return true;
    },
    Point: function(object, point) {
      return containsPoint(object.coordinates, point);
    },
    MultiPoint: function(object, point) {
      var coordinates = object.coordinates, i = -1, n = coordinates.length;
      while (++i < n) if (containsPoint(coordinates[i], point)) return true;
      return false;
    },
    LineString: function(object, point) {
      return containsLine(object.coordinates, point);
    },
    MultiLineString: function(object, point) {
      var coordinates = object.coordinates, i = -1, n = coordinates.length;
      while (++i < n) if (containsLine(coordinates[i], point)) return true;
      return false;
    },
    Polygon: function(object, point) {
      return containsPolygon(object.coordinates, point);
    },
    MultiPolygon: function(object, point) {
      var coordinates = object.coordinates, i = -1, n = coordinates.length;
      while (++i < n) if (containsPolygon(coordinates[i], point)) return true;
      return false;
    },
    GeometryCollection: function(object, point) {
      var geometries = object.geometries, i = -1, n = geometries.length;
      while (++i < n) if (containsGeometry(geometries[i], point)) return true;
      return false;
    }
  };
  
  function containsGeometry(geometry, point) {
    return geometry && containsGeometryType.hasOwnProperty(geometry.type)
        ? containsGeometryType[geometry.type](geometry, point)
        : false;
  }
  
  function containsPoint(coordinates, point) {
    return distance(coordinates, point) === 0;
  }
  
  function containsLine(coordinates, point) {
    var ab = distance(coordinates[0], coordinates[1]),
        ao = distance(coordinates[0], point),
        ob = distance(point, coordinates[1]);
    return ao + ob <= ab + epsilon;
  }
  
  function containsPolygon(coordinates, point) {
    return !!polygonContains(coordinates.map(ringRadians), pointRadians(point));
  }
  
  function ringRadians(ring) {
    return ring = ring.map(pointRadians), ring.pop(), ring;
  }
  
  function pointRadians(point) {
    return [point[0] * radians, point[1] * radians];
  }
  
  function contains(object, point) {
    return (object && containsObjectType.hasOwnProperty(object.type)
        ? containsObjectType[object.type]
        : containsGeometry)(object, point);
  }
  
  function graticuleX(y0, y1, dy) {
    var y = d3Array.range(y0, y1 - epsilon, dy).concat(y1);
    return function(x) { return y.map(function(y) { return [x, y]; }); };
  }
  
  function graticuleY(x0, x1, dx) {
    var x = d3Array.range(x0, x1 - epsilon, dx).concat(x1);
    return function(y) { return x.map(function(x) { return [x, y]; }); };
  }
  
  function graticule() {
    var x1, x0, X1, X0,
        y1, y0, Y1, Y0,
        dx = 10, dy = dx, DX = 90, DY = 360,
        x, y, X, Y,
        precision = 2.5;
  
    function graticule() {
      return {type: "MultiLineString", coordinates: lines()};
    }
  
    function lines() {
      return d3Array.range(ceil(X0 / DX) * DX, X1, DX).map(X)
          .concat(d3Array.range(ceil(Y0 / DY) * DY, Y1, DY).map(Y))
          .concat(d3Array.range(ceil(x0 / dx) * dx, x1, dx).filter(function(x) { return abs(x % DX) > epsilon; }).map(x))
          .concat(d3Array.range(ceil(y0 / dy) * dy, y1, dy).filter(function(y) { return abs(y % DY) > epsilon; }).map(y));
    }
  
    graticule.lines = function() {
      return lines().map(function(coordinates) { return {type: "LineString", coordinates: coordinates}; });
    };
  
    graticule.outline = function() {
      return {
        type: "Polygon",
        coordinates: [
          X(X0).concat(
          Y(Y1).slice(1),
          X(X1).reverse().slice(1),
          Y(Y0).reverse().slice(1))
        ]
      };
    };
  
    graticule.extent = function(_) {
      if (!arguments.length) return graticule.extentMinor();
      return graticule.extentMajor(_).extentMinor(_);
    };
  
    graticule.extentMajor = function(_) {
      if (!arguments.length) return [[X0, Y0], [X1, Y1]];
      X0 = +_[0][0], X1 = +_[1][0];
      Y0 = +_[0][1], Y1 = +_[1][1];
      if (X0 > X1) _ = X0, X0 = X1, X1 = _;
      if (Y0 > Y1) _ = Y0, Y0 = Y1, Y1 = _;
      return graticule.precision(precision);
    };
  
    graticule.extentMinor = function(_) {
      if (!arguments.length) return [[x0, y0], [x1, y1]];
      x0 = +_[0][0], x1 = +_[1][0];
      y0 = +_[0][1], y1 = +_[1][1];
      if (x0 > x1) _ = x0, x0 = x1, x1 = _;
      if (y0 > y1) _ = y0, y0 = y1, y1 = _;
      return graticule.precision(precision);
    };
  
    graticule.step = function(_) {
      if (!arguments.length) return graticule.stepMinor();
      return graticule.stepMajor(_).stepMinor(_);
    };
  
    graticule.stepMajor = function(_) {
      if (!arguments.length) return [DX, DY];
      DX = +_[0], DY = +_[1];
      return graticule;
    };
  
    graticule.stepMinor = function(_) {
      if (!arguments.length) return [dx, dy];
      dx = +_[0], dy = +_[1];
      return graticule;
    };
  
    graticule.precision = function(_) {
      if (!arguments.length) return precision;
      precision = +_;
      x = graticuleX(y0, y1, 90);
      y = graticuleY(x0, x1, precision);
      X = graticuleX(Y0, Y1, 90);
      Y = graticuleY(X0, X1, precision);
      return graticule;
    };
  
    return graticule
        .extentMajor([[-180, -90 + epsilon], [180, 90 - epsilon]])
        .extentMinor([[-180, -80 - epsilon], [180, 80 + epsilon]]);
  }
  
  function graticule10() {
    return graticule()();
  }
  
  function interpolate(a, b) {
    var x0 = a[0] * radians,
        y0 = a[1] * radians,
        x1 = b[0] * radians,
        y1 = b[1] * radians,
        cy0 = cos(y0),
        sy0 = sin(y0),
        cy1 = cos(y1),
        sy1 = sin(y1),
        kx0 = cy0 * cos(x0),
        ky0 = cy0 * sin(x0),
        kx1 = cy1 * cos(x1),
        ky1 = cy1 * sin(x1),
        d = 2 * asin(sqrt(haversin(y1 - y0) + cy0 * cy1 * haversin(x1 - x0))),
        k = sin(d);
  
    var interpolate = d ? function(t) {
      var B = sin(t *= d) / k,
          A = sin(d - t) / k,
          x = A * kx0 + B * kx1,
          y = A * ky0 + B * ky1,
          z = A * sy0 + B * sy1;
      return [
        atan2(y, x) * degrees,
        atan2(z, sqrt(x * x + y * y)) * degrees
      ];
    } : function() {
      return [x0 * degrees, y0 * degrees];
    };
  
    interpolate.distance = d;
  
    return interpolate;
  }
  
  function identity(x) {
    return x;
  }
  
  var areaSum$1 = adder(),
      areaRingSum$1 = adder(),
      x00,
      y00,
      x0$1,
      y0$1;
  
  var areaStream$1 = {
    point: noop,
    lineStart: noop,
    lineEnd: noop,
    polygonStart: function() {
      areaStream$1.lineStart = areaRingStart$1;
      areaStream$1.lineEnd = areaRingEnd$1;
    },
    polygonEnd: function() {
      areaStream$1.lineStart = areaStream$1.lineEnd = areaStream$1.point = noop;
      areaSum$1.add(abs(areaRingSum$1));
      areaRingSum$1.reset();
    },
    result: function() {
      var area = areaSum$1 / 2;
      areaSum$1.reset();
      return area;
    }
  };
  
  function areaRingStart$1() {
    areaStream$1.point = areaPointFirst$1;
  }
  
  function areaPointFirst$1(x, y) {
    areaStream$1.point = areaPoint$1;
    x00 = x0$1 = x, y00 = y0$1 = y;
  }
  
  function areaPoint$1(x, y) {
    areaRingSum$1.add(y0$1 * x - x0$1 * y);
    x0$1 = x, y0$1 = y;
  }
  
  function areaRingEnd$1() {
    areaPoint$1(x00, y00);
  }
  
  var x0$2 = Infinity,
      y0$2 = x0$2,
      x1 = -x0$2,
      y1 = x1;
  
  var boundsStream$1 = {
    point: boundsPoint$1,
    lineStart: noop,
    lineEnd: noop,
    polygonStart: noop,
    polygonEnd: noop,
    result: function() {
      var bounds = [[x0$2, y0$2], [x1, y1]];
      x1 = y1 = -(y0$2 = x0$2 = Infinity);
      return bounds;
    }
  };
  
  function boundsPoint$1(x, y) {
    if (x < x0$2) x0$2 = x;
    if (x > x1) x1 = x;
    if (y < y0$2) y0$2 = y;
    if (y > y1) y1 = y;
  }
  
  // TODO Enforce positive area for exterior, negative area for interior?
  
  var X0$1 = 0,
      Y0$1 = 0,
      Z0$1 = 0,
      X1$1 = 0,
      Y1$1 = 0,
      Z1$1 = 0,
      X2$1 = 0,
      Y2$1 = 0,
      Z2$1 = 0,
      x00$1,
      y00$1,
      x0$3,
      y0$3;
  
  var centroidStream$1 = {
    point: centroidPoint$1,
    lineStart: centroidLineStart$1,
    lineEnd: centroidLineEnd$1,
    polygonStart: function() {
      centroidStream$1.lineStart = centroidRingStart$1;
      centroidStream$1.lineEnd = centroidRingEnd$1;
    },
    polygonEnd: function() {
      centroidStream$1.point = centroidPoint$1;
      centroidStream$1.lineStart = centroidLineStart$1;
      centroidStream$1.lineEnd = centroidLineEnd$1;
    },
    result: function() {
      var centroid = Z2$1 ? [X2$1 / Z2$1, Y2$1 / Z2$1]
          : Z1$1 ? [X1$1 / Z1$1, Y1$1 / Z1$1]
          : Z0$1 ? [X0$1 / Z0$1, Y0$1 / Z0$1]
          : [NaN, NaN];
      X0$1 = Y0$1 = Z0$1 =
      X1$1 = Y1$1 = Z1$1 =
      X2$1 = Y2$1 = Z2$1 = 0;
      return centroid;
    }
  };
  
  function centroidPoint$1(x, y) {
    X0$1 += x;
    Y0$1 += y;
    ++Z0$1;
  }
  
  function centroidLineStart$1() {
    centroidStream$1.point = centroidPointFirstLine;
  }
  
  function centroidPointFirstLine(x, y) {
    centroidStream$1.point = centroidPointLine;
    centroidPoint$1(x0$3 = x, y0$3 = y);
  }
  
  function centroidPointLine(x, y) {
    var dx = x - x0$3, dy = y - y0$3, z = sqrt(dx * dx + dy * dy);
    X1$1 += z * (x0$3 + x) / 2;
    Y1$1 += z * (y0$3 + y) / 2;
    Z1$1 += z;
    centroidPoint$1(x0$3 = x, y0$3 = y);
  }
  
  function centroidLineEnd$1() {
    centroidStream$1.point = centroidPoint$1;
  }
  
  function centroidRingStart$1() {
    centroidStream$1.point = centroidPointFirstRing;
  }
  
  function centroidRingEnd$1() {
    centroidPointRing(x00$1, y00$1);
  }
  
  function centroidPointFirstRing(x, y) {
    centroidStream$1.point = centroidPointRing;
    centroidPoint$1(x00$1 = x0$3 = x, y00$1 = y0$3 = y);
  }
  
  function centroidPointRing(x, y) {
    var dx = x - x0$3,
        dy = y - y0$3,
        z = sqrt(dx * dx + dy * dy);
  
    X1$1 += z * (x0$3 + x) / 2;
    Y1$1 += z * (y0$3 + y) / 2;
    Z1$1 += z;
  
    z = y0$3 * x - x0$3 * y;
    X2$1 += z * (x0$3 + x);
    Y2$1 += z * (y0$3 + y);
    Z2$1 += z * 3;
    centroidPoint$1(x0$3 = x, y0$3 = y);
  }
  
  function PathContext(context) {
    this._context = context;
  }
  
  PathContext.prototype = {
    _radius: 4.5,
    pointRadius: function(_) {
      return this._radius = _, this;
    },
    polygonStart: function() {
      this._line = 0;
    },
    polygonEnd: function() {
      this._line = NaN;
    },
    lineStart: function() {
      this._point = 0;
    },
    lineEnd: function() {
      if (this._line === 0) this._context.closePath();
      this._point = NaN;
    },
    point: function(x, y) {
      switch (this._point) {
        case 0: {
          this._context.moveTo(x, y);
          this._point = 1;
          break;
        }
        case 1: {
          this._context.lineTo(x, y);
          break;
        }
        default: {
          this._context.moveTo(x + this._radius, y);
          this._context.arc(x, y, this._radius, 0, tau);
          break;
        }
      }
    },
    result: noop
  };
  
  var lengthSum$1 = adder(),
      lengthRing,
      x00$2,
      y00$2,
      x0$4,
      y0$4;
  
  var lengthStream$1 = {
    point: noop,
    lineStart: function() {
      lengthStream$1.point = lengthPointFirst$1;
    },
    lineEnd: function() {
      if (lengthRing) lengthPoint$1(x00$2, y00$2);
      lengthStream$1.point = noop;
    },
    polygonStart: function() {
      lengthRing = true;
    },
    polygonEnd: function() {
      lengthRing = null;
    },
    result: function() {
      var length = +lengthSum$1;
      lengthSum$1.reset();
      return length;
    }
  };
  
  function lengthPointFirst$1(x, y) {
    lengthStream$1.point = lengthPoint$1;
    x00$2 = x0$4 = x, y00$2 = y0$4 = y;
  }
  
  function lengthPoint$1(x, y) {
    x0$4 -= x, y0$4 -= y;
    lengthSum$1.add(sqrt(x0$4 * x0$4 + y0$4 * y0$4));
    x0$4 = x, y0$4 = y;
  }
  
  function PathString() {
    this._string = [];
  }
  
  PathString.prototype = {
    _radius: 4.5,
    _circle: circle$1(4.5),
    pointRadius: function(_) {
      if ((_ = +_) !== this._radius) this._radius = _, this._circle = null;
      return this;
    },
    polygonStart: function() {
      this._line = 0;
    },
    polygonEnd: function() {
      this._line = NaN;
    },
    lineStart: function() {
      this._point = 0;
    },
    lineEnd: function() {
      if (this._line === 0) this._string.push("Z");
      this._point = NaN;
    },
    point: function(x, y) {
      switch (this._point) {
        case 0: {
          this._string.push("M", x, ",", y);
          this._point = 1;
          break;
        }
        case 1: {
          this._string.push("L", x, ",", y);
          break;
        }
        default: {
          if (this._circle == null) this._circle = circle$1(this._radius);
          this._string.push("M", x, ",", y, this._circle);
          break;
        }
      }
    },
    result: function() {
      if (this._string.length) {
        var result = this._string.join("");
        this._string = [];
        return result;
      } else {
        return null;
      }
    }
  };
  
  function circle$1(radius) {
    return "m0," + radius
        + "a" + radius + "," + radius + " 0 1,1 0," + -2 * radius
        + "a" + radius + "," + radius + " 0 1,1 0," + 2 * radius
        + "z";
  }
  
  function index(projection, context) {
    var pointRadius = 4.5,
        projectionStream,
        contextStream;
  
    function path(object) {
      if (object) {
        if (typeof pointRadius === "function") contextStream.pointRadius(+pointRadius.apply(this, arguments));
        geoStream(object, projectionStream(contextStream));
      }
      return contextStream.result();
    }
  
    path.area = function(object) {
      geoStream(object, projectionStream(areaStream$1));
      return areaStream$1.result();
    };
  
    path.measure = function(object) {
      geoStream(object, projectionStream(lengthStream$1));
      return lengthStream$1.result();
    };
  
    path.bounds = function(object) {
      geoStream(object, projectionStream(boundsStream$1));
      return boundsStream$1.result();
    };
  
    path.centroid = function(object) {
      geoStream(object, projectionStream(centroidStream$1));
      return centroidStream$1.result();
    };
  
    path.projection = function(_) {
      return arguments.length ? (projectionStream = _ == null ? (projection = null, identity) : (projection = _).stream, path) : projection;
    };
  
    path.context = function(_) {
      if (!arguments.length) return context;
      contextStream = _ == null ? (context = null, new PathString) : new PathContext(context = _);
      if (typeof pointRadius !== "function") contextStream.pointRadius(pointRadius);
      return path;
    };
  
    path.pointRadius = function(_) {
      if (!arguments.length) return pointRadius;
      pointRadius = typeof _ === "function" ? _ : (contextStream.pointRadius(+_), +_);
      return path;
    };
  
    return path.projection(projection).context(context);
  }
  
  function transform(methods) {
    return {
      stream: transformer(methods)
    };
  }
  
  function transformer(methods) {
    return function(stream) {
      var s = new TransformStream;
      for (var key in methods) s[key] = methods[key];
      s.stream = stream;
      return s;
    };
  }
  
  function TransformStream() {}
  
  TransformStream.prototype = {
    constructor: TransformStream,
    point: function(x, y) { this.stream.point(x, y); },
    sphere: function() { this.stream.sphere(); },
    lineStart: function() { this.stream.lineStart(); },
    lineEnd: function() { this.stream.lineEnd(); },
    polygonStart: function() { this.stream.polygonStart(); },
    polygonEnd: function() { this.stream.polygonEnd(); }
  };
  
  function fit(projection, fitBounds, object) {
    var clip = projection.clipExtent && projection.clipExtent();
    projection.scale(150).translate([0, 0]);
    if (clip != null) projection.clipExtent(null);
    geoStream(object, projection.stream(boundsStream$1));
    fitBounds(boundsStream$1.result());
    if (clip != null) projection.clipExtent(clip);
    return projection;
  }
  
  function fitExtent(projection, extent, object) {
    return fit(projection, function(b) {
      var w = extent[1][0] - extent[0][0],
          h = extent[1][1] - extent[0][1],
          k = Math.min(w / (b[1][0] - b[0][0]), h / (b[1][1] - b[0][1])),
          x = +extent[0][0] + (w - k * (b[1][0] + b[0][0])) / 2,
          y = +extent[0][1] + (h - k * (b[1][1] + b[0][1])) / 2;
      projection.scale(150 * k).translate([x, y]);
    }, object);
  }
  
  function fitSize(projection, size, object) {
    return fitExtent(projection, [[0, 0], size], object);
  }
  
  function fitWidth(projection, width, object) {
    return fit(projection, function(b) {
      var w = +width,
          k = w / (b[1][0] - b[0][0]),
          x = (w - k * (b[1][0] + b[0][0])) / 2,
          y = -k * b[0][1];
      projection.scale(150 * k).translate([x, y]);
    }, object);
  }
  
  function fitHeight(projection, height, object) {
    return fit(projection, function(b) {
      var h = +height,
          k = h / (b[1][1] - b[0][1]),
          x = -k * b[0][0],
          y = (h - k * (b[1][1] + b[0][1])) / 2;
      projection.scale(150 * k).translate([x, y]);
    }, object);
  }
  
  var maxDepth = 16, // maximum depth of subdivision
      cosMinDistance = cos(30 * radians); // cos(minimum angular distance)
  
  function resample(project, delta2) {
    return +delta2 ? resample$1(project, delta2) : resampleNone(project);
  }
  
  function resampleNone(project) {
    return transformer({
      point: function(x, y) {
        x = project(x, y);
        this.stream.point(x[0], x[1]);
      }
    });
  }
  
  function resample$1(project, delta2) {
  
    function resampleLineTo(x0, y0, lambda0, a0, b0, c0, x1, y1, lambda1, a1, b1, c1, depth, stream) {
      var dx = x1 - x0,
          dy = y1 - y0,
          d2 = dx * dx + dy * dy;
      if (d2 > 4 * delta2 && depth--) {
        var a = a0 + a1,
            b = b0 + b1,
            c = c0 + c1,
            m = sqrt(a * a + b * b + c * c),
            phi2 = asin(c /= m),
            lambda2 = abs(abs(c) - 1) < epsilon || abs(lambda0 - lambda1) < epsilon ? (lambda0 + lambda1) / 2 : atan2(b, a),
            p = project(lambda2, phi2),
            x2 = p[0],
            y2 = p[1],
            dx2 = x2 - x0,
            dy2 = y2 - y0,
            dz = dy * dx2 - dx * dy2;
        if (dz * dz / d2 > delta2 // perpendicular projected distance
            || abs((dx * dx2 + dy * dy2) / d2 - 0.5) > 0.3 // midpoint close to an end
            || a0 * a1 + b0 * b1 + c0 * c1 < cosMinDistance) { // angular distance
          resampleLineTo(x0, y0, lambda0, a0, b0, c0, x2, y2, lambda2, a /= m, b /= m, c, depth, stream);
          stream.point(x2, y2);
          resampleLineTo(x2, y2, lambda2, a, b, c, x1, y1, lambda1, a1, b1, c1, depth, stream);
        }
      }
    }
    return function(stream) {
      var lambda00, x00, y00, a00, b00, c00, // first point
          lambda0, x0, y0, a0, b0, c0; // previous point
  
      var resampleStream = {
        point: point,
        lineStart: lineStart,
        lineEnd: lineEnd,
        polygonStart: function() { stream.polygonStart(); resampleStream.lineStart = ringStart; },
        polygonEnd: function() { stream.polygonEnd(); resampleStream.lineStart = lineStart; }
      };
  
      function point(x, y) {
        x = project(x, y);
        stream.point(x[0], x[1]);
      }
  
      function lineStart() {
        x0 = NaN;
        resampleStream.point = linePoint;
        stream.lineStart();
      }
  
      function linePoint(lambda, phi) {
        var c = cartesian([lambda, phi]), p = project(lambda, phi);
        resampleLineTo(x0, y0, lambda0, a0, b0, c0, x0 = p[0], y0 = p[1], lambda0 = lambda, a0 = c[0], b0 = c[1], c0 = c[2], maxDepth, stream);
        stream.point(x0, y0);
      }
  
      function lineEnd() {
        resampleStream.point = point;
        stream.lineEnd();
      }
  
      function ringStart() {
        lineStart();
        resampleStream.point = ringPoint;
        resampleStream.lineEnd = ringEnd;
      }
  
      function ringPoint(lambda, phi) {
        linePoint(lambda00 = lambda, phi), x00 = x0, y00 = y0, a00 = a0, b00 = b0, c00 = c0;
        resampleStream.point = linePoint;
      }
  
      function ringEnd() {
        resampleLineTo(x0, y0, lambda0, a0, b0, c0, x00, y00, lambda00, a00, b00, c00, maxDepth, stream);
        resampleStream.lineEnd = lineEnd;
        lineEnd();
      }
  
      return resampleStream;
    };
  }
  
  var transformRadians = transformer({
    point: function(x, y) {
      this.stream.point(x * radians, y * radians);
    }
  });
  
  function transformRotate(rotate) {
    return transformer({
      point: function(x, y) {
        var r = rotate(x, y);
        return this.stream.point(r[0], r[1]);
      }
    });
  }
  
  function scaleTranslate(k, dx, dy) {
    function transform$$1(x, y) {
      return [dx + k * x, dy - k * y];
    }
    transform$$1.invert = function(x, y) {
      return [(x - dx) / k, (dy - y) / k];
    };
    return transform$$1;
  }
  
  function scaleTranslateRotate(k, dx, dy, alpha) {
    var cosAlpha = cos(alpha),
        sinAlpha = sin(alpha),
        a = cosAlpha * k,
        b = sinAlpha * k,
        ai = cosAlpha / k,
        bi = sinAlpha / k,
        ci = (sinAlpha * dy - cosAlpha * dx) / k,
        fi = (sinAlpha * dx + cosAlpha * dy) / k;
    function transform$$1(x, y) {
      return [a * x - b * y + dx, dy - b * x - a * y];
    }
    transform$$1.invert = function(x, y) {
      return [ai * x - bi * y + ci, fi - bi * x - ai * y];
    };
    return transform$$1;
  }
  
  function projection(project) {
    return projectionMutator(function() { return project; })();
  }
  
  function projectionMutator(projectAt) {
    var project,
        k = 150, // scale
        x = 480, y = 250, // translate
        lambda = 0, phi = 0, // center
        deltaLambda = 0, deltaPhi = 0, deltaGamma = 0, rotate, // pre-rotate
        alpha = 0, // post-rotate
        theta = null, preclip = clipAntimeridian, // pre-clip angle
        x0 = null, y0, x1, y1, postclip = identity, // post-clip extent
        delta2 = 0.5, // precision
        projectResample,
        projectTransform,
        projectRotateTransform,
        cache,
        cacheStream;
  
    function projection(point) {
      return projectRotateTransform(point[0] * radians, point[1] * radians);
    }
  
    function invert(point) {
      point = projectRotateTransform.invert(point[0], point[1]);
      return point && [point[0] * degrees, point[1] * degrees];
    }
  
    projection.stream = function(stream) {
      return cache && cacheStream === stream ? cache : cache = transformRadians(transformRotate(rotate)(preclip(projectResample(postclip(cacheStream = stream)))));
    };
  
    projection.preclip = function(_) {
      return arguments.length ? (preclip = _, theta = undefined, reset()) : preclip;
    };
  
    projection.postclip = function(_) {
      return arguments.length ? (postclip = _, x0 = y0 = x1 = y1 = null, reset()) : postclip;
    };
  
    projection.clipAngle = function(_) {
      return arguments.length ? (preclip = +_ ? clipCircle(theta = _ * radians) : (theta = null, clipAntimeridian), reset()) : theta * degrees;
    };
  
    projection.clipExtent = function(_) {
      return arguments.length ? (postclip = _ == null ? (x0 = y0 = x1 = y1 = null, identity) : clipRectangle(x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1]), reset()) : x0 == null ? null : [[x0, y0], [x1, y1]];
    };
  
    projection.scale = function(_) {
      return arguments.length ? (k = +_, recenter()) : k;
    };
  
    projection.translate = function(_) {
      return arguments.length ? (x = +_[0], y = +_[1], recenter()) : [x, y];
    };
  
    projection.center = function(_) {
      return arguments.length ? (lambda = _[0] % 360 * radians, phi = _[1] % 360 * radians, recenter()) : [lambda * degrees, phi * degrees];
    };
  
    projection.rotate = function(_) {
      return arguments.length ? (deltaLambda = _[0] % 360 * radians, deltaPhi = _[1] % 360 * radians, deltaGamma = _.length > 2 ? _[2] % 360 * radians : 0, recenter()) : [deltaLambda * degrees, deltaPhi * degrees, deltaGamma * degrees];
    };
  
    projection.angle = function(_) {
      return arguments.length ? (alpha = _ % 360 * radians, recenter()) : alpha * degrees;
    };
  
    projection.precision = function(_) {
      return arguments.length ? (projectResample = resample(projectTransform, delta2 = _ * _), reset()) : sqrt(delta2);
    };
  
    projection.fitExtent = function(extent, object) {
      return fitExtent(projection, extent, object);
    };
  
    projection.fitSize = function(size, object) {
      return fitSize(projection, size, object);
    };
  
    projection.fitWidth = function(width, object) {
      return fitWidth(projection, width, object);
    };
  
    projection.fitHeight = function(height, object) {
      return fitHeight(projection, height, object);
    };
  
    function recenter() {
      var center = scaleTranslateRotate(k, 0, 0, alpha).apply(null, project(lambda, phi)),
          transform$$1 = (alpha ? scaleTranslateRotate : scaleTranslate)(k, x - center[0], y - center[1], alpha);
      rotate = rotateRadians(deltaLambda, deltaPhi, deltaGamma);
      projectTransform = compose(project, transform$$1);
      projectRotateTransform = compose(rotate, projectTransform);
      projectResample = resample(projectTransform, delta2);
      return reset();
    }
  
    function reset() {
      cache = cacheStream = null;
      return projection;
    }
  
    return function() {
      project = projectAt.apply(this, arguments);
      projection.invert = project.invert && invert;
      return recenter();
    };
  }
  
  function conicProjection(projectAt) {
    var phi0 = 0,
        phi1 = pi / 3,
        m = projectionMutator(projectAt),
        p = m(phi0, phi1);
  
    p.parallels = function(_) {
      return arguments.length ? m(phi0 = _[0] * radians, phi1 = _[1] * radians) : [phi0 * degrees, phi1 * degrees];
    };
  
    return p;
  }
  
  function cylindricalEqualAreaRaw(phi0) {
    var cosPhi0 = cos(phi0);
  
    function forward(lambda, phi) {
      return [lambda * cosPhi0, sin(phi) / cosPhi0];
    }
  
    forward.invert = function(x, y) {
      return [x / cosPhi0, asin(y * cosPhi0)];
    };
  
    return forward;
  }
  
  function conicEqualAreaRaw(y0, y1) {
    var sy0 = sin(y0), n = (sy0 + sin(y1)) / 2;
  
    // Are the parallels symmetrical around the Equator?
    if (abs(n) < epsilon) return cylindricalEqualAreaRaw(y0);
  
    var c = 1 + sy0 * (2 * n - sy0), r0 = sqrt(c) / n;
  
    function project(x, y) {
      var r = sqrt(c - 2 * n * sin(y)) / n;
      return [r * sin(x *= n), r0 - r * cos(x)];
    }
  
    project.invert = function(x, y) {
      var r0y = r0 - y;
      return [atan2(x, abs(r0y)) / n * sign(r0y), asin((c - (x * x + r0y * r0y) * n * n) / (2 * n))];
    };
  
    return project;
  }
  
  function conicEqualArea() {
    return conicProjection(conicEqualAreaRaw)
        .scale(155.424)
        .center([0, 33.6442]);
  }
  
  function albers() {
    return conicEqualArea()
        .parallels([29.5, 45.5])
        .scale(1070)
        .translate([480, 250])
        .rotate([96, 0])
        .center([-0.6, 38.7]);
  }
  
  // The projections must have mutually exclusive clip regions on the sphere,
  // as this will avoid emitting interleaving lines and polygons.
  function multiplex(streams) {
    var n = streams.length;
    return {
      point: function(x, y) { var i = -1; while (++i < n) streams[i].point(x, y); },
      sphere: function() { var i = -1; while (++i < n) streams[i].sphere(); },
      lineStart: function() { var i = -1; while (++i < n) streams[i].lineStart(); },
      lineEnd: function() { var i = -1; while (++i < n) streams[i].lineEnd(); },
      polygonStart: function() { var i = -1; while (++i < n) streams[i].polygonStart(); },
      polygonEnd: function() { var i = -1; while (++i < n) streams[i].polygonEnd(); }
    };
  }
  
  // A composite projection for the United States, configured by default for
  // 960×500. The projection also works quite well at 960×600 if you change the
  // scale to 1285 and adjust the translate accordingly. The set of standard
  // parallels for each region comes from USGS, which is published here:
  // http://egsc.usgs.gov/isb/pubs/MapProjections/projections.html#albers
  function albersUsa() {
    var cache,
        cacheStream,
        lower48 = albers(), lower48Point,
        alaska = conicEqualArea().rotate([154, 0]).center([-2, 58.5]).parallels([55, 65]), alaskaPoint, // EPSG:3338
        hawaii = conicEqualArea().rotate([157, 0]).center([-3, 19.9]).parallels([8, 18]), hawaiiPoint, // ESRI:102007
        point, pointStream = {point: function(x, y) { point = [x, y]; }};
  
    function albersUsa(coordinates) {
      var x = coordinates[0], y = coordinates[1];
      return point = null,
          (lower48Point.point(x, y), point)
          || (alaskaPoint.point(x, y), point)
          || (hawaiiPoint.point(x, y), point);
    }
  
    albersUsa.invert = function(coordinates) {
      var k = lower48.scale(),
          t = lower48.translate(),
          x = (coordinates[0] - t[0]) / k,
          y = (coordinates[1] - t[1]) / k;
      return (y >= 0.120 && y < 0.234 && x >= -0.425 && x < -0.214 ? alaska
          : y >= 0.166 && y < 0.234 && x >= -0.214 && x < -0.115 ? hawaii
          : lower48).invert(coordinates);
    };
  
    albersUsa.stream = function(stream) {
      return cache && cacheStream === stream ? cache : cache = multiplex([lower48.stream(cacheStream = stream), alaska.stream(stream), hawaii.stream(stream)]);
    };
  
    albersUsa.precision = function(_) {
      if (!arguments.length) return lower48.precision();
      lower48.precision(_), alaska.precision(_), hawaii.precision(_);
      return reset();
    };
  
    albersUsa.scale = function(_) {
      if (!arguments.length) return lower48.scale();
      lower48.scale(_), alaska.scale(_ * 0.35), hawaii.scale(_);
      return albersUsa.translate(lower48.translate());
    };
  
    albersUsa.translate = function(_) {
      if (!arguments.length) return lower48.translate();
      var k = lower48.scale(), x = +_[0], y = +_[1];
  
      lower48Point = lower48
          .translate(_)
          .clipExtent([[x - 0.455 * k, y - 0.238 * k], [x + 0.455 * k, y + 0.238 * k]])
          .stream(pointStream);
  
      alaskaPoint = alaska
          .translate([x - 0.307 * k, y + 0.201 * k])
          .clipExtent([[x - 0.425 * k + epsilon, y + 0.120 * k + epsilon], [x - 0.214 * k - epsilon, y + 0.234 * k - epsilon]])
          .stream(pointStream);
  
      hawaiiPoint = hawaii
          .translate([x - 0.205 * k, y + 0.212 * k])
          .clipExtent([[x - 0.214 * k + epsilon, y + 0.166 * k + epsilon], [x - 0.115 * k - epsilon, y + 0.234 * k - epsilon]])
          .stream(pointStream);
  
      return reset();
    };
  
    albersUsa.fitExtent = function(extent, object) {
      return fitExtent(albersUsa, extent, object);
    };
  
    albersUsa.fitSize = function(size, object) {
      return fitSize(albersUsa, size, object);
    };
  
    albersUsa.fitWidth = function(width, object) {
      return fitWidth(albersUsa, width, object);
    };
  
    albersUsa.fitHeight = function(height, object) {
      return fitHeight(albersUsa, height, object);
    };
  
    function reset() {
      cache = cacheStream = null;
      return albersUsa;
    }
  
    return albersUsa.scale(1070);
  }
  
  function azimuthalRaw(scale) {
    return function(x, y) {
      var cx = cos(x),
          cy = cos(y),
          k = scale(cx * cy);
      return [
        k * cy * sin(x),
        k * sin(y)
      ];
    }
  }
  
  function azimuthalInvert(angle) {
    return function(x, y) {
      var z = sqrt(x * x + y * y),
          c = angle(z),
          sc = sin(c),
          cc = cos(c);
      return [
        atan2(x * sc, z * cc),
        asin(z && y * sc / z)
      ];
    }
  }
  
  var azimuthalEqualAreaRaw = azimuthalRaw(function(cxcy) {
    return sqrt(2 / (1 + cxcy));
  });
  
  azimuthalEqualAreaRaw.invert = azimuthalInvert(function(z) {
    return 2 * asin(z / 2);
  });
  
  function azimuthalEqualArea() {
    return projection(azimuthalEqualAreaRaw)
        .scale(124.75)
        .clipAngle(180 - 1e-3);
  }
  
  var azimuthalEquidistantRaw = azimuthalRaw(function(c) {
    return (c = acos(c)) && c / sin(c);
  });
  
  azimuthalEquidistantRaw.invert = azimuthalInvert(function(z) {
    return z;
  });
  
  function azimuthalEquidistant() {
    return projection(azimuthalEquidistantRaw)
        .scale(79.4188)
        .clipAngle(180 - 1e-3);
  }
  
  function mercatorRaw(lambda, phi) {
    return [lambda, log(tan((halfPi + phi) / 2))];
  }
  
  mercatorRaw.invert = function(x, y) {
    return [x, 2 * atan(exp(y)) - halfPi];
  };
  
  function mercator() {
    return mercatorProjection(mercatorRaw)
        .scale(961 / tau);
  }
  
  function mercatorProjection(project) {
    var m = projection(project),
        center = m.center,
        scale = m.scale,
        translate = m.translate,
        clipExtent = m.clipExtent,
        x0 = null, y0, x1, y1; // clip extent
  
    m.scale = function(_) {
      return arguments.length ? (scale(_), reclip()) : scale();
    };
  
    m.translate = function(_) {
      return arguments.length ? (translate(_), reclip()) : translate();
    };
  
    m.center = function(_) {
      return arguments.length ? (center(_), reclip()) : center();
    };
  
    m.clipExtent = function(_) {
      return arguments.length ? ((_ == null ? x0 = y0 = x1 = y1 = null : (x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1])), reclip()) : x0 == null ? null : [[x0, y0], [x1, y1]];
    };
  
    function reclip() {
      var k = pi * scale(),
          t = m(rotation(m.rotate()).invert([0, 0]));
      return clipExtent(x0 == null
          ? [[t[0] - k, t[1] - k], [t[0] + k, t[1] + k]] : project === mercatorRaw
          ? [[Math.max(t[0] - k, x0), y0], [Math.min(t[0] + k, x1), y1]]
          : [[x0, Math.max(t[1] - k, y0)], [x1, Math.min(t[1] + k, y1)]]);
    }
  
    return reclip();
  }
  
  function tany(y) {
    return tan((halfPi + y) / 2);
  }
  
  function conicConformalRaw(y0, y1) {
    var cy0 = cos(y0),
        n = y0 === y1 ? sin(y0) : log(cy0 / cos(y1)) / log(tany(y1) / tany(y0)),
        f = cy0 * pow(tany(y0), n) / n;
  
    if (!n) return mercatorRaw;
  
    function project(x, y) {
      if (f > 0) { if (y < -halfPi + epsilon) y = -halfPi + epsilon; }
      else { if (y > halfPi - epsilon) y = halfPi - epsilon; }
      var r = f / pow(tany(y), n);
      return [r * sin(n * x), f - r * cos(n * x)];
    }
  
    project.invert = function(x, y) {
      var fy = f - y, r = sign(n) * sqrt(x * x + fy * fy);
      return [atan2(x, abs(fy)) / n * sign(fy), 2 * atan(pow(f / r, 1 / n)) - halfPi];
    };
  
    return project;
  }
  
  function conicConformal() {
    return conicProjection(conicConformalRaw)
        .scale(109.5)
        .parallels([30, 30]);
  }
  
  function equirectangularRaw(lambda, phi) {
    return [lambda, phi];
  }
  
  equirectangularRaw.invert = equirectangularRaw;
  
  function equirectangular() {
    return projection(equirectangularRaw)
        .scale(152.63);
  }
  
  function conicEquidistantRaw(y0, y1) {
    var cy0 = cos(y0),
        n = y0 === y1 ? sin(y0) : (cy0 - cos(y1)) / (y1 - y0),
        g = cy0 / n + y0;
  
    if (abs(n) < epsilon) return equirectangularRaw;
  
    function project(x, y) {
      var gy = g - y, nx = n * x;
      return [gy * sin(nx), g - gy * cos(nx)];
    }
  
    project.invert = function(x, y) {
      var gy = g - y;
      return [atan2(x, abs(gy)) / n * sign(gy), g - sign(n) * sqrt(x * x + gy * gy)];
    };
  
    return project;
  }
  
  function conicEquidistant() {
    return conicProjection(conicEquidistantRaw)
        .scale(131.154)
        .center([0, 13.9389]);
  }
  
  var A1 = 1.340264,
      A2 = -0.081106,
      A3 = 0.000893,
      A4 = 0.003796,
      M = sqrt(3) / 2,
      iterations = 12;
  
  function equalEarthRaw(lambda, phi) {
    var l = asin(M * sin(phi)), l2 = l * l, l6 = l2 * l2 * l2;
    return [
      lambda * cos(l) / (M * (A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2))),
      l * (A1 + A2 * l2 + l6 * (A3 + A4 * l2))
    ];
  }
  
  equalEarthRaw.invert = function(x, y) {
    var l = y, l2 = l * l, l6 = l2 * l2 * l2;
    for (var i = 0, delta, fy, fpy; i < iterations; ++i) {
      fy = l * (A1 + A2 * l2 + l6 * (A3 + A4 * l2)) - y;
      fpy = A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2);
      l -= delta = fy / fpy, l2 = l * l, l6 = l2 * l2 * l2;
      if (abs(delta) < epsilon2) break;
    }
    return [
      M * x * (A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2)) / cos(l),
      asin(sin(l) / M)
    ];
  };
  
  function equalEarth() {
    return projection(equalEarthRaw)
        .scale(177.158);
  }
  
  function gnomonicRaw(x, y) {
    var cy = cos(y), k = cos(x) * cy;
    return [cy * sin(x) / k, sin(y) / k];
  }
  
  gnomonicRaw.invert = azimuthalInvert(atan);
  
  function gnomonic() {
    return projection(gnomonicRaw)
        .scale(144.049)
        .clipAngle(60);
  }
  
  function scaleTranslate$1(kx, ky, tx, ty) {
    return kx === 1 && ky === 1 && tx === 0 && ty === 0 ? identity : transformer({
      point: function(x, y) {
        this.stream.point(x * kx + tx, y * ky + ty);
      }
    });
  }
  
  function identity$1() {
    var k = 1, tx = 0, ty = 0, sx = 1, sy = 1, transform$$1 = identity, // scale, translate and reflect
        x0 = null, y0, x1, y1, // clip extent
        postclip = identity,
        cache,
        cacheStream,
        projection;
  
    function reset() {
      cache = cacheStream = null;
      return projection;
    }
  
    return projection = {
      stream: function(stream) {
        return cache && cacheStream === stream ? cache : cache = transform$$1(postclip(cacheStream = stream));
      },
      postclip: function(_) {
        return arguments.length ? (postclip = _, x0 = y0 = x1 = y1 = null, reset()) : postclip;
      },
      clipExtent: function(_) {
        return arguments.length ? (postclip = _ == null ? (x0 = y0 = x1 = y1 = null, identity) : clipRectangle(x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1]), reset()) : x0 == null ? null : [[x0, y0], [x1, y1]];
      },
      scale: function(_) {
        return arguments.length ? (transform$$1 = scaleTranslate$1((k = +_) * sx, k * sy, tx, ty), reset()) : k;
      },
      translate: function(_) {
        return arguments.length ? (transform$$1 = scaleTranslate$1(k * sx, k * sy, tx = +_[0], ty = +_[1]), reset()) : [tx, ty];
      },
      reflectX: function(_) {
        return arguments.length ? (transform$$1 = scaleTranslate$1(k * (sx = _ ? -1 : 1), k * sy, tx, ty), reset()) : sx < 0;
      },
      reflectY: function(_) {
        return arguments.length ? (transform$$1 = scaleTranslate$1(k * sx, k * (sy = _ ? -1 : 1), tx, ty), reset()) : sy < 0;
      },
      fitExtent: function(extent, object) {
        return fitExtent(projection, extent, object);
      },
      fitSize: function(size, object) {
        return fitSize(projection, size, object);
      },
      fitWidth: function(width, object) {
        return fitWidth(projection, width, object);
      },
      fitHeight: function(height, object) {
        return fitHeight(projection, height, object);
      }
    };
  }
  
  function naturalEarth1Raw(lambda, phi) {
    var phi2 = phi * phi, phi4 = phi2 * phi2;
    return [
      lambda * (0.8707 - 0.131979 * phi2 + phi4 * (-0.013791 + phi4 * (0.003971 * phi2 - 0.001529 * phi4))),
      phi * (1.007226 + phi2 * (0.015085 + phi4 * (-0.044475 + 0.028874 * phi2 - 0.005916 * phi4)))
    ];
  }
  
  naturalEarth1Raw.invert = function(x, y) {
    var phi = y, i = 25, delta;
    do {
      var phi2 = phi * phi, phi4 = phi2 * phi2;
      phi -= delta = (phi * (1.007226 + phi2 * (0.015085 + phi4 * (-0.044475 + 0.028874 * phi2 - 0.005916 * phi4))) - y) /
          (1.007226 + phi2 * (0.015085 * 3 + phi4 * (-0.044475 * 7 + 0.028874 * 9 * phi2 - 0.005916 * 11 * phi4)));
    } while (abs(delta) > epsilon && --i > 0);
    return [
      x / (0.8707 + (phi2 = phi * phi) * (-0.131979 + phi2 * (-0.013791 + phi2 * phi2 * phi2 * (0.003971 - 0.001529 * phi2)))),
      phi
    ];
  };
  
  function naturalEarth1() {
    return projection(naturalEarth1Raw)
        .scale(175.295);
  }
  
  function orthographicRaw(x, y) {
    return [cos(y) * sin(x), sin(y)];
  }
  
  orthographicRaw.invert = azimuthalInvert(asin);
  
  function orthographic() {
    return projection(orthographicRaw)
        .scale(249.5)
        .clipAngle(90 + epsilon);
  }
  
  function stereographicRaw(x, y) {
    var cy = cos(y), k = 1 + cos(x) * cy;
    return [cy * sin(x) / k, sin(y) / k];
  }
  
  stereographicRaw.invert = azimuthalInvert(function(z) {
    return 2 * atan(z);
  });
  
  function stereographic() {
    return projection(stereographicRaw)
        .scale(250)
        .clipAngle(142);
  }
  
  function transverseMercatorRaw(lambda, phi) {
    return [log(tan((halfPi + phi) / 2)), -lambda];
  }
  
  transverseMercatorRaw.invert = function(x, y) {
    return [-y, 2 * atan(exp(x)) - halfPi];
  };
  
  function transverseMercator() {
    var m = mercatorProjection(transverseMercatorRaw),
        center = m.center,
        rotate = m.rotate;
  
    m.center = function(_) {
      return arguments.length ? center([-_[1], _[0]]) : (_ = center(), [_[1], -_[0]]);
    };
  
    m.rotate = function(_) {
      return arguments.length ? rotate([_[0], _[1], _.length > 2 ? _[2] + 90 : 90]) : (_ = rotate(), [_[0], _[1], _[2] - 90]);
    };
  
    return rotate([0, 0, 90])
        .scale(159.155);
  }
  
  exports.geoArea = area;
  exports.geoBounds = bounds;
  exports.geoCentroid = centroid;
  exports.geoCircle = circle;
  exports.geoClipAntimeridian = clipAntimeridian;
  exports.geoClipCircle = clipCircle;
  exports.geoClipExtent = extent;
  exports.geoClipRectangle = clipRectangle;
  exports.geoContains = contains;
  exports.geoDistance = distance;
  exports.geoGraticule = graticule;
  exports.geoGraticule10 = graticule10;
  exports.geoInterpolate = interpolate;
  exports.geoLength = length;
  exports.geoPath = index;
  exports.geoAlbers = albers;
  exports.geoAlbersUsa = albersUsa;
  exports.geoAzimuthalEqualArea = azimuthalEqualArea;
  exports.geoAzimuthalEqualAreaRaw = azimuthalEqualAreaRaw;
  exports.geoAzimuthalEquidistant = azimuthalEquidistant;
  exports.geoAzimuthalEquidistantRaw = azimuthalEquidistantRaw;
  exports.geoConicConformal = conicConformal;
  exports.geoConicConformalRaw = conicConformalRaw;
  exports.geoConicEqualArea = conicEqualArea;
  exports.geoConicEqualAreaRaw = conicEqualAreaRaw;
  exports.geoConicEquidistant = conicEquidistant;
  exports.geoConicEquidistantRaw = conicEquidistantRaw;
  exports.geoEqualEarth = equalEarth;
  exports.geoEqualEarthRaw = equalEarthRaw;
  exports.geoEquirectangular = equirectangular;
  exports.geoEquirectangularRaw = equirectangularRaw;
  exports.geoGnomonic = gnomonic;
  exports.geoGnomonicRaw = gnomonicRaw;
  exports.geoIdentity = identity$1;
  exports.geoProjection = projection;
  exports.geoProjectionMutator = projectionMutator;
  exports.geoMercator = mercator;
  exports.geoMercatorRaw = mercatorRaw;
  exports.geoNaturalEarth1 = naturalEarth1;
  exports.geoNaturalEarth1Raw = naturalEarth1Raw;
  exports.geoOrthographic = orthographic;
  exports.geoOrthographicRaw = orthographicRaw;
  exports.geoStereographic = stereographic;
  exports.geoStereographicRaw = stereographicRaw;
  exports.geoTransverseMercator = transverseMercator;
  exports.geoTransverseMercatorRaw = transverseMercatorRaw;
  exports.geoRotation = rotation;
  exports.geoStream = geoStream;
  exports.geoTransform = transform;
  
  Object.defineProperty(exports, '__esModule', { value: true });
  
  })));
  