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// https://d3js.org/d3-voronoi/ Version 1.1.2. Copyright 2017 Mike Bostock.
(function (global, factory) {
typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) :
typeof define === 'function' && define.amd ? define(['exports'], factory) :
(factory((global.d3 = global.d3 || {})));
}(this, (function (exports) { 'use strict';
var constant = function(x) {
return function() {
return x;
};
};
function x(d) {
return d[0];
}
function y(d) {
return d[1];
}
function RedBlackTree() {
this._ = null; // root node
}
function RedBlackNode(node) {
node.U = // parent node
node.C = // color - true for red, false for black
node.L = // left node
node.R = // right node
node.P = // previous node
node.N = null; // next node
}
RedBlackTree.prototype = {
constructor: RedBlackTree,
insert: function(after, node) {
var parent, grandpa, uncle;
if (after) {
node.P = after;
node.N = after.N;
if (after.N) after.N.P = node;
after.N = node;
if (after.R) {
after = after.R;
while (after.L) after = after.L;
after.L = node;
} else {
after.R = node;
}
parent = after;
} else if (this._) {
after = RedBlackFirst(this._);
node.P = null;
node.N = after;
after.P = after.L = node;
parent = after;
} else {
node.P = node.N = null;
this._ = node;
parent = null;
}
node.L = node.R = null;
node.U = parent;
node.C = true;
after = node;
while (parent && parent.C) {
grandpa = parent.U;
if (parent === grandpa.L) {
uncle = grandpa.R;
if (uncle && uncle.C) {
parent.C = uncle.C = false;
grandpa.C = true;
after = grandpa;
} else {
if (after === parent.R) {
RedBlackRotateLeft(this, parent);
after = parent;
parent = after.U;
}
parent.C = false;
grandpa.C = true;
RedBlackRotateRight(this, grandpa);
}
} else {
uncle = grandpa.L;
if (uncle && uncle.C) {
parent.C = uncle.C = false;
grandpa.C = true;
after = grandpa;
} else {
if (after === parent.L) {
RedBlackRotateRight(this, parent);
after = parent;
parent = after.U;
}
parent.C = false;
grandpa.C = true;
RedBlackRotateLeft(this, grandpa);
}
}
parent = after.U;
}
this._.C = false;
},
remove: function(node) {
if (node.N) node.N.P = node.P;
if (node.P) node.P.N = node.N;
node.N = node.P = null;
var parent = node.U,
sibling,
left = node.L,
right = node.R,
next,
red;
if (!left) next = right;
else if (!right) next = left;
else next = RedBlackFirst(right);
if (parent) {
if (parent.L === node) parent.L = next;
else parent.R = next;
} else {
this._ = next;
}
if (left && right) {
red = next.C;
next.C = node.C;
next.L = left;
left.U = next;
if (next !== right) {
parent = next.U;
next.U = node.U;
node = next.R;
parent.L = node;
next.R = right;
right.U = next;
} else {
next.U = parent;
parent = next;
node = next.R;
}
} else {
red = node.C;
node = next;
}
if (node) node.U = parent;
if (red) return;
if (node && node.C) { node.C = false; return; }
do {
if (node === this._) break;
if (node === parent.L) {
sibling = parent.R;
if (sibling.C) {
sibling.C = false;
parent.C = true;
RedBlackRotateLeft(this, parent);
sibling = parent.R;
}
if ((sibling.L && sibling.L.C)
|| (sibling.R && sibling.R.C)) {
if (!sibling.R || !sibling.R.C) {
sibling.L.C = false;
sibling.C = true;
RedBlackRotateRight(this, sibling);
sibling = parent.R;
}
sibling.C = parent.C;
parent.C = sibling.R.C = false;
RedBlackRotateLeft(this, parent);
node = this._;
break;
}
} else {
sibling = parent.L;
if (sibling.C) {
sibling.C = false;
parent.C = true;
RedBlackRotateRight(this, parent);
sibling = parent.L;
}
if ((sibling.L && sibling.L.C)
|| (sibling.R && sibling.R.C)) {
if (!sibling.L || !sibling.L.C) {
sibling.R.C = false;
sibling.C = true;
RedBlackRotateLeft(this, sibling);
sibling = parent.L;
}
sibling.C = parent.C;
parent.C = sibling.L.C = false;
RedBlackRotateRight(this, parent);
node = this._;
break;
}
}
sibling.C = true;
node = parent;
parent = parent.U;
} while (!node.C);
if (node) node.C = false;
}
};
function RedBlackRotateLeft(tree, node) {
var p = node,
q = node.R,
parent = p.U;
if (parent) {
if (parent.L === p) parent.L = q;
else parent.R = q;
} else {
tree._ = q;
}
q.U = parent;
p.U = q;
p.R = q.L;
if (p.R) p.R.U = p;
q.L = p;
}
function RedBlackRotateRight(tree, node) {
var p = node,
q = node.L,
parent = p.U;
if (parent) {
if (parent.L === p) parent.L = q;
else parent.R = q;
} else {
tree._ = q;
}
q.U = parent;
p.U = q;
p.L = q.R;
if (p.L) p.L.U = p;
q.R = p;
}
function RedBlackFirst(node) {
while (node.L) node = node.L;
return node;
}
function createEdge(left, right, v0, v1) {
var edge = [null, null],
index = edges.push(edge) - 1;
edge.left = left;
edge.right = right;
if (v0) setEdgeEnd(edge, left, right, v0);
if (v1) setEdgeEnd(edge, right, left, v1);
cells[left.index].halfedges.push(index);
cells[right.index].halfedges.push(index);
return edge;
}
function createBorderEdge(left, v0, v1) {
var edge = [v0, v1];
edge.left = left;
return edge;
}
function setEdgeEnd(edge, left, right, vertex) {
if (!edge[0] && !edge[1]) {
edge[0] = vertex;
edge.left = left;
edge.right = right;
} else if (edge.left === right) {
edge[1] = vertex;
} else {
edge[0] = vertex;
}
}
// LiangBarsky line clipping.
function clipEdge(edge, x0, y0, x1, y1) {
var a = edge[0],
b = edge[1],
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) && !(t1 < 1)) return true; // TODO Better check?
if (t0 > 0) edge[0] = [ax + t0 * dx, ay + t0 * dy];
if (t1 < 1) edge[1] = [ax + t1 * dx, ay + t1 * dy];
return true;
}
function connectEdge(edge, x0, y0, x1, y1) {
var v1 = edge[1];
if (v1) return true;
var v0 = edge[0],
left = edge.left,
right = edge.right,
lx = left[0],
ly = left[1],
rx = right[0],
ry = right[1],
fx = (lx + rx) / 2,
fy = (ly + ry) / 2,
fm,
fb;
if (ry === ly) {
if (fx < x0 || fx >= x1) return;
if (lx > rx) {
if (!v0) v0 = [fx, y0];
else if (v0[1] >= y1) return;
v1 = [fx, y1];
} else {
if (!v0) v0 = [fx, y1];
else if (v0[1] < y0) return;
v1 = [fx, y0];
}
} else {
fm = (lx - rx) / (ry - ly);
fb = fy - fm * fx;
if (fm < -1 || fm > 1) {
if (lx > rx) {
if (!v0) v0 = [(y0 - fb) / fm, y0];
else if (v0[1] >= y1) return;
v1 = [(y1 - fb) / fm, y1];
} else {
if (!v0) v0 = [(y1 - fb) / fm, y1];
else if (v0[1] < y0) return;
v1 = [(y0 - fb) / fm, y0];
}
} else {
if (ly < ry) {
if (!v0) v0 = [x0, fm * x0 + fb];
else if (v0[0] >= x1) return;
v1 = [x1, fm * x1 + fb];
} else {
if (!v0) v0 = [x1, fm * x1 + fb];
else if (v0[0] < x0) return;
v1 = [x0, fm * x0 + fb];
}
}
}
edge[0] = v0;
edge[1] = v1;
return true;
}
function clipEdges(x0, y0, x1, y1) {
var i = edges.length,
edge;
while (i--) {
if (!connectEdge(edge = edges[i], x0, y0, x1, y1)
|| !clipEdge(edge, x0, y0, x1, y1)
|| !(Math.abs(edge[0][0] - edge[1][0]) > epsilon
|| Math.abs(edge[0][1] - edge[1][1]) > epsilon)) {
delete edges[i];
}
}
}
function createCell(site) {
return cells[site.index] = {
site: site,
halfedges: []
};
}
function cellHalfedgeAngle(cell, edge) {
var site = cell.site,
va = edge.left,
vb = edge.right;
if (site === vb) vb = va, va = site;
if (vb) return Math.atan2(vb[1] - va[1], vb[0] - va[0]);
if (site === va) va = edge[1], vb = edge[0];
else va = edge[0], vb = edge[1];
return Math.atan2(va[0] - vb[0], vb[1] - va[1]);
}
function cellHalfedgeStart(cell, edge) {
return edge[+(edge.left !== cell.site)];
}
function cellHalfedgeEnd(cell, edge) {
return edge[+(edge.left === cell.site)];
}
function sortCellHalfedges() {
for (var i = 0, n = cells.length, cell, halfedges, j, m; i < n; ++i) {
if ((cell = cells[i]) && (m = (halfedges = cell.halfedges).length)) {
var index = new Array(m),
array = new Array(m);
for (j = 0; j < m; ++j) index[j] = j, array[j] = cellHalfedgeAngle(cell, edges[halfedges[j]]);
index.sort(function(i, j) { return array[j] - array[i]; });
for (j = 0; j < m; ++j) array[j] = halfedges[index[j]];
for (j = 0; j < m; ++j) halfedges[j] = array[j];
}
}
}
function clipCells(x0, y0, x1, y1) {
var nCells = cells.length,
iCell,
cell,
site,
iHalfedge,
halfedges,
nHalfedges,
start,
startX,
startY,
end,
endX,
endY,
cover = true;
for (iCell = 0; iCell < nCells; ++iCell) {
if (cell = cells[iCell]) {
site = cell.site;
halfedges = cell.halfedges;
iHalfedge = halfedges.length;
// Remove any dangling clipped edges.
while (iHalfedge--) {
if (!edges[halfedges[iHalfedge]]) {
halfedges.splice(iHalfedge, 1);
}
}
// Insert any border edges as necessary.
iHalfedge = 0, nHalfedges = halfedges.length;
while (iHalfedge < nHalfedges) {
end = cellHalfedgeEnd(cell, edges[halfedges[iHalfedge]]), endX = end[0], endY = end[1];
start = cellHalfedgeStart(cell, edges[halfedges[++iHalfedge % nHalfedges]]), startX = start[0], startY = start[1];
if (Math.abs(endX - startX) > epsilon || Math.abs(endY - startY) > epsilon) {
halfedges.splice(iHalfedge, 0, edges.push(createBorderEdge(site, end,
Math.abs(endX - x0) < epsilon && y1 - endY > epsilon ? [x0, Math.abs(startX - x0) < epsilon ? startY : y1]
: Math.abs(endY - y1) < epsilon && x1 - endX > epsilon ? [Math.abs(startY - y1) < epsilon ? startX : x1, y1]
: Math.abs(endX - x1) < epsilon && endY - y0 > epsilon ? [x1, Math.abs(startX - x1) < epsilon ? startY : y0]
: Math.abs(endY - y0) < epsilon && endX - x0 > epsilon ? [Math.abs(startY - y0) < epsilon ? startX : x0, y0]
: null)) - 1);
++nHalfedges;
}
}
if (nHalfedges) cover = false;
}
}
// If there werent any edges, have the closest site cover the extent.
// It doesnt matter which corner of the extent we measure!
if (cover) {
var dx, dy, d2, dc = Infinity;
for (iCell = 0, cover = null; iCell < nCells; ++iCell) {
if (cell = cells[iCell]) {
site = cell.site;
dx = site[0] - x0;
dy = site[1] - y0;
d2 = dx * dx + dy * dy;
if (d2 < dc) dc = d2, cover = cell;
}
}
if (cover) {
var v00 = [x0, y0], v01 = [x0, y1], v11 = [x1, y1], v10 = [x1, y0];
cover.halfedges.push(
edges.push(createBorderEdge(site = cover.site, v00, v01)) - 1,
edges.push(createBorderEdge(site, v01, v11)) - 1,
edges.push(createBorderEdge(site, v11, v10)) - 1,
edges.push(createBorderEdge(site, v10, v00)) - 1
);
}
}
// Lastly delete any cells with no edges; these were entirely clipped.
for (iCell = 0; iCell < nCells; ++iCell) {
if (cell = cells[iCell]) {
if (!cell.halfedges.length) {
delete cells[iCell];
}
}
}
}
var circlePool = [];
var firstCircle;
function Circle() {
RedBlackNode(this);
this.x =
this.y =
this.arc =
this.site =
this.cy = null;
}
function attachCircle(arc) {
var lArc = arc.P,
rArc = arc.N;
if (!lArc || !rArc) return;
var lSite = lArc.site,
cSite = arc.site,
rSite = rArc.site;
if (lSite === rSite) return;
var bx = cSite[0],
by = cSite[1],
ax = lSite[0] - bx,
ay = lSite[1] - by,
cx = rSite[0] - bx,
cy = rSite[1] - by;
var d = 2 * (ax * cy - ay * cx);
if (d >= -epsilon2) return;
var ha = ax * ax + ay * ay,
hc = cx * cx + cy * cy,
x = (cy * ha - ay * hc) / d,
y = (ax * hc - cx * ha) / d;
var circle = circlePool.pop() || new Circle;
circle.arc = arc;
circle.site = cSite;
circle.x = x + bx;
circle.y = (circle.cy = y + by) + Math.sqrt(x * x + y * y); // y bottom
arc.circle = circle;
var before = null,
node = circles._;
while (node) {
if (circle.y < node.y || (circle.y === node.y && circle.x <= node.x)) {
if (node.L) node = node.L;
else { before = node.P; break; }
} else {
if (node.R) node = node.R;
else { before = node; break; }
}
}
circles.insert(before, circle);
if (!before) firstCircle = circle;
}
function detachCircle(arc) {
var circle = arc.circle;
if (circle) {
if (!circle.P) firstCircle = circle.N;
circles.remove(circle);
circlePool.push(circle);
RedBlackNode(circle);
arc.circle = null;
}
}
var beachPool = [];
function Beach() {
RedBlackNode(this);
this.edge =
this.site =
this.circle = null;
}
function createBeach(site) {
var beach = beachPool.pop() || new Beach;
beach.site = site;
return beach;
}
function detachBeach(beach) {
detachCircle(beach);
beaches.remove(beach);
beachPool.push(beach);
RedBlackNode(beach);
}
function removeBeach(beach) {
var circle = beach.circle,
x = circle.x,
y = circle.cy,
vertex = [x, y],
previous = beach.P,
next = beach.N,
disappearing = [beach];
detachBeach(beach);
var lArc = previous;
while (lArc.circle
&& Math.abs(x - lArc.circle.x) < epsilon
&& Math.abs(y - lArc.circle.cy) < epsilon) {
previous = lArc.P;
disappearing.unshift(lArc);
detachBeach(lArc);
lArc = previous;
}
disappearing.unshift(lArc);
detachCircle(lArc);
var rArc = next;
while (rArc.circle
&& Math.abs(x - rArc.circle.x) < epsilon
&& Math.abs(y - rArc.circle.cy) < epsilon) {
next = rArc.N;
disappearing.push(rArc);
detachBeach(rArc);
rArc = next;
}
disappearing.push(rArc);
detachCircle(rArc);
var nArcs = disappearing.length,
iArc;
for (iArc = 1; iArc < nArcs; ++iArc) {
rArc = disappearing[iArc];
lArc = disappearing[iArc - 1];
setEdgeEnd(rArc.edge, lArc.site, rArc.site, vertex);
}
lArc = disappearing[0];
rArc = disappearing[nArcs - 1];
rArc.edge = createEdge(lArc.site, rArc.site, null, vertex);
attachCircle(lArc);
attachCircle(rArc);
}
function addBeach(site) {
var x = site[0],
directrix = site[1],
lArc,
rArc,
dxl,
dxr,
node = beaches._;
while (node) {
dxl = leftBreakPoint(node, directrix) - x;
if (dxl > epsilon) node = node.L; else {
dxr = x - rightBreakPoint(node, directrix);
if (dxr > epsilon) {
if (!node.R) {
lArc = node;
break;
}
node = node.R;
} else {
if (dxl > -epsilon) {
lArc = node.P;
rArc = node;
} else if (dxr > -epsilon) {
lArc = node;
rArc = node.N;
} else {
lArc = rArc = node;
}
break;
}
}
}
createCell(site);
var newArc = createBeach(site);
beaches.insert(lArc, newArc);
if (!lArc && !rArc) return;
if (lArc === rArc) {
detachCircle(lArc);
rArc = createBeach(lArc.site);
beaches.insert(newArc, rArc);
newArc.edge = rArc.edge = createEdge(lArc.site, newArc.site);
attachCircle(lArc);
attachCircle(rArc);
return;
}
if (!rArc) { // && lArc
newArc.edge = createEdge(lArc.site, newArc.site);
return;
}
// else lArc !== rArc
detachCircle(lArc);
detachCircle(rArc);
var lSite = lArc.site,
ax = lSite[0],
ay = lSite[1],
bx = site[0] - ax,
by = site[1] - ay,
rSite = rArc.site,
cx = rSite[0] - ax,
cy = rSite[1] - ay,
d = 2 * (bx * cy - by * cx),
hb = bx * bx + by * by,
hc = cx * cx + cy * cy,
vertex = [(cy * hb - by * hc) / d + ax, (bx * hc - cx * hb) / d + ay];
setEdgeEnd(rArc.edge, lSite, rSite, vertex);
newArc.edge = createEdge(lSite, site, null, vertex);
rArc.edge = createEdge(site, rSite, null, vertex);
attachCircle(lArc);
attachCircle(rArc);
}
function leftBreakPoint(arc, directrix) {
var site = arc.site,
rfocx = site[0],
rfocy = site[1],
pby2 = rfocy - directrix;
if (!pby2) return rfocx;
var lArc = arc.P;
if (!lArc) return -Infinity;
site = lArc.site;
var lfocx = site[0],
lfocy = site[1],
plby2 = lfocy - directrix;
if (!plby2) return lfocx;
var hl = lfocx - rfocx,
aby2 = 1 / pby2 - 1 / plby2,
b = hl / plby2;
if (aby2) return (-b + Math.sqrt(b * b - 2 * aby2 * (hl * hl / (-2 * plby2) - lfocy + plby2 / 2 + rfocy - pby2 / 2))) / aby2 + rfocx;
return (rfocx + lfocx) / 2;
}
function rightBreakPoint(arc, directrix) {
var rArc = arc.N;
if (rArc) return leftBreakPoint(rArc, directrix);
var site = arc.site;
return site[1] === directrix ? site[0] : Infinity;
}
var epsilon = 1e-6;
var epsilon2 = 1e-12;
var beaches;
var cells;
var circles;
var edges;
function triangleArea(a, b, c) {
return (a[0] - c[0]) * (b[1] - a[1]) - (a[0] - b[0]) * (c[1] - a[1]);
}
function lexicographic(a, b) {
return b[1] - a[1]
|| b[0] - a[0];
}
function Diagram(sites, extent) {
var site = sites.sort(lexicographic).pop(),
x,
y,
circle;
edges = [];
cells = new Array(sites.length);
beaches = new RedBlackTree;
circles = new RedBlackTree;
while (true) {
circle = firstCircle;
if (site && (!circle || site[1] < circle.y || (site[1] === circle.y && site[0] < circle.x))) {
if (site[0] !== x || site[1] !== y) {
addBeach(site);
x = site[0], y = site[1];
}
site = sites.pop();
} else if (circle) {
removeBeach(circle.arc);
} else {
break;
}
}
sortCellHalfedges();
if (extent) {
var x0 = +extent[0][0],
y0 = +extent[0][1],
x1 = +extent[1][0],
y1 = +extent[1][1];
clipEdges(x0, y0, x1, y1);
clipCells(x0, y0, x1, y1);
}
this.edges = edges;
this.cells = cells;
beaches =
circles =
edges =
cells = null;
}
Diagram.prototype = {
constructor: Diagram,
polygons: function() {
var edges = this.edges;
return this.cells.map(function(cell) {
var polygon = cell.halfedges.map(function(i) { return cellHalfedgeStart(cell, edges[i]); });
polygon.data = cell.site.data;
return polygon;
});
},
triangles: function() {
var triangles = [],
edges = this.edges;
this.cells.forEach(function(cell, i) {
if (!(m = (halfedges = cell.halfedges).length)) return;
var site = cell.site,
halfedges,
j = -1,
m,
s0,
e1 = edges[halfedges[m - 1]],
s1 = e1.left === site ? e1.right : e1.left;
while (++j < m) {
s0 = s1;
e1 = edges[halfedges[j]];
s1 = e1.left === site ? e1.right : e1.left;
if (s0 && s1 && i < s0.index && i < s1.index && triangleArea(site, s0, s1) < 0) {
triangles.push([site.data, s0.data, s1.data]);
}
}
});
return triangles;
},
links: function() {
return this.edges.filter(function(edge) {
return edge.right;
}).map(function(edge) {
return {
source: edge.left.data,
target: edge.right.data
};
});
},
find: function(x, y, radius) {
var that = this, i0, i1 = that._found || 0, n = that.cells.length, cell;
// Use the previously-found cell, or start with an arbitrary one.
while (!(cell = that.cells[i1])) if (++i1 >= n) return null;
var dx = x - cell.site[0], dy = y - cell.site[1], d2 = dx * dx + dy * dy;
// Traverse the half-edges to find a closer cell, if any.
do {
cell = that.cells[i0 = i1], i1 = null;
cell.halfedges.forEach(function(e) {
var edge = that.edges[e], v = edge.left;
if ((v === cell.site || !v) && !(v = edge.right)) return;
var vx = x - v[0], vy = y - v[1], v2 = vx * vx + vy * vy;
if (v2 < d2) d2 = v2, i1 = v.index;
});
} while (i1 !== null);
that._found = i0;
return radius == null || d2 <= radius * radius ? cell.site : null;
}
};
var voronoi = function() {
var x$$1 = x,
y$$1 = y,
extent = null;
function voronoi(data) {
return new Diagram(data.map(function(d, i) {
var s = [Math.round(x$$1(d, i, data) / epsilon) * epsilon, Math.round(y$$1(d, i, data) / epsilon) * epsilon];
s.index = i;
s.data = d;
return s;
}), extent);
}
voronoi.polygons = function(data) {
return voronoi(data).polygons();
};
voronoi.links = function(data) {
return voronoi(data).links();
};
voronoi.triangles = function(data) {
return voronoi(data).triangles();
};
voronoi.x = function(_) {
return arguments.length ? (x$$1 = typeof _ === "function" ? _ : constant(+_), voronoi) : x$$1;
};
voronoi.y = function(_) {
return arguments.length ? (y$$1 = typeof _ === "function" ? _ : constant(+_), voronoi) : y$$1;
};
voronoi.extent = function(_) {
return arguments.length ? (extent = _ == null ? null : [[+_[0][0], +_[0][1]], [+_[1][0], +_[1][1]]], voronoi) : extent && [[extent[0][0], extent[0][1]], [extent[1][0], extent[1][1]]];
};
voronoi.size = function(_) {
return arguments.length ? (extent = _ == null ? null : [[0, 0], [+_[0], +_[1]]], voronoi) : extent && [extent[1][0] - extent[0][0], extent[1][1] - extent[0][1]];
};
return voronoi;
};
exports.voronoi = voronoi;
Object.defineProperty(exports, '__esModule', { value: true });
})));