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ToolBox.ts
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const fs = require('fs');
const util = require('util');
const paper = require('paper-jsdom');
export { }
const MAX_POINT = new paper.Point(Number.MAX_SAFE_INTEGER, Number.MAX_SAFE_INTEGER);
///*
// *
// * array helpers
// *
// */
export function MIB(i, max)
{
while (i >= max) { i -= max; }
while (i < 0) { i += max; }
return i;
}
///*
// *
// * Little helpers
// *
// */
export function PointLerp(point1, point2, percentage)
{
return point1.add((point2.subtract(point1)).multiply(percentage))
}
///*
// *
// * curve stuff
// *
// */
export function GetKissingDataForCurvePair(curve1, curve2, radius, clockwise, center = null, closeepsilon = 1e-9)
{
var kissdata = { Center: center, OriginalPoint: PointLerp(curve1.point2, curve2.point1, 0.5), Radius: radius, Time1: 0, Time2: 0, Point1: null, Point2: null, Normal1: null, Normal2: null, Type: 0, Tangent: null };
if (kissdata.Center == null)
{
var norm1 = curve1.getNormalAtTime(1).normalize(radius);
var norm2 = curve2.getNormalAtTime(0).normalize(radius);
var combinednorm = norm1.add(norm2);
if (combinednorm.isZero())
{
kissdata.Center = (norm1.rotate(90)).add(kissdata.OriginalPoint);
}
else
{
kissdata.Center = ((norm1.add(norm2)).normalize(Math.abs(radius))).add(kissdata.OriginalPoint);
}
}
var oldcenter = MAX_POINT;
var olddistance = Number.MAX_SAFE_INTEGER;
var oldvector = MAX_POINT;
var count = 0;
while (1)
{
// bit of a hack just to make sure we exit loop
if (count > 50 && count % 10 == 0)
{
closeepsilon *= 10;
}
count++;
kissdata.Point1 = curve1.getNearestPoint(kissdata.Center);
kissdata.Point2 = curve2.getNearestPoint(kissdata.Center);
// checking they are actully closest points and not the beggining/end , also set times
if (curve1.point2.getDistance(kissdata.Center) <= kissdata.Point1.getDistance(kissdata.Center) + closeepsilon)
{
kissdata.Point1 = curve1.point2;
kissdata.Time1 = 1;
}
else if (curve1.point1.getDistance(kissdata.Center) <= kissdata.Point1.getDistance(kissdata.Center) + closeepsilon)
{
kissdata.Point1 = curve1.point1;
kissdata.Time1 = 0;
}
else
{
kissdata.Time1 = curve1.getTimeOf(kissdata.Point1);
}
if (curve2.point1.getDistance(kissdata.Center) <= kissdata.Point2.getDistance(kissdata.Center) + closeepsilon)
{
kissdata.Point2 = curve2.point1;
kissdata.Time2 = 0;
}
else if (curve2.point2.getDistance(kissdata.Center) <= kissdata.Point2.getDistance(kissdata.Center) + closeepsilon)
{
kissdata.Point2 = curve2.point2;
kissdata.Time2 = 1;
}
else
{
kissdata.Time2 = curve2.getTimeOf(kissdata.Point2);
}
kissdata.Normal1 = curve1.getNormalAtTime(kissdata.Time1).normalize(radius);
kissdata.Normal2 = curve2.getNormalAtTime(kissdata.Time2).normalize(radius);
kissdata.Tangent = curve1.getTangentAtTime(kissdata.Time1).normalize(Math.abs(radius));
var newvector = kissdata.Center.subtract(oldcenter);
var newdistance = oldcenter.getDistance(kissdata.Center);
if (newvector.add(oldvector).length < closeepsilon)
{
return kissdata;
}
oldcenter = kissdata.Center;
olddistance = newdistance;
oldvector = newvector;
var circledata = GetCircleCenter(kissdata.Point1, kissdata.Point2, radius, closeepsilon);
if (circledata.Error == 0) // points ok
{
kissdata.Center = circledata.Center1;
kissdata.Type = -1;
}
else if (circledata.Error == 1) // points too close
{
var anglediff = kissdata.Normal1.getAngle(kissdata.Normal2);
if (anglediff < 0.001) // not expanding or shrinking
{
kissdata.Center = ((kissdata.Normal1.add(kissdata.Normal2)).normalize(Math.abs(radius))).add(kissdata.OriginalPoint);
kissdata.Type = 0;
}
else if (anglediff >= 180) // parallel
{
var line = new paper.Line(curve1.point1, curve2.point2);
var side = line.getSide(kissdata.Point1); // minus 1 for right
if (side == 1)
{
kissdata.Center = kissdata.OriginalPoint.add(curve1.getTangentAtTime(1).normalize(radius));
kissdata.Type = Math.sign(radius);
}
else if (side == -1)
{
kissdata.Center = kissdata.OriginalPoint.add(curve1.getTangentAtTime(1).normalize(radius * -1));
kissdata.Type = Math.sign(radius * -1);
}
else // if it hits here we assume identical lines to we make a cap
{
kissdata.Center = kissdata.OriginalPoint.add(curve1.getTangentAtTime(1).normalize(Math.abs(radius)));
kissdata.Type = 1;
}
}
else
{
kissdata.Center = ((kissdata.Normal1.add(kissdata.Normal2)).normalize(Math.abs(radius))).add(kissdata.OriginalPoint);
kissdata.Type = 1;
}
}
else if (circledata.Error == 2) // points too far
{
kissdata.Type = -2;
}
}
return kissdata;
}
export function SplitCurveAtTimes(originalcurve, timelist)
{
if (!util.isArray(timelist)) { timelist = [timelist]; }
timelist.sort(function (a, b) { return a - b; })
var curvelist = [];
if (originalcurve.isStraight())
{
var zeropoint = new paper.Point(0, 0);
if (timelist[0] != 0)
{
timelist.splice(0, 0, 0);
}
if (timelist[timelist.length - 1] != 1)
{
timelist.push(1);
}
for (var i = 0; i < timelist.length - 1; i++)
{
var p1 = originalcurve.getPointAtTime(timelist[i]);
var p2 = originalcurve.getPointAtTime(timelist[i + 1]);
curvelist.push(new paper.Curve(p1, zeropoint, zeropoint, p2));
}
}
else
{
curvelist = [originalcurve.clone()];
var index = 0;
for (var i = 0, prevT, l = timelist && timelist.length; i < l; i++)
{
var t = timelist[i];
var curve = curvelist[index].divideAtTime(i ? (t - prevT) / (1 - prevT) : t);
prevT = t;
if (curve)
{
curvelist.splice(++index, 0, curve);
}
}
}
return curvelist;
}
export function SplitCurveForTolerance(curve, curvetolerance, lengthtolerance)
{
if (!curve.bounds.center.isClose(curve.getPointAtTime(0.5), curvetolerance) || curve.length > lengthtolerance)
{
var halves = SplitCurveAtTimes(curve, [0.5]);
return SplitCurveForTolerance(halves[0], curvetolerance, lengthtolerance).concat(SplitCurveForTolerance(halves[1], curvetolerance, lengthtolerance));
}
return [curve.clone()];
}
/**
* Taken from lehni's code
* Returns the first curve-time where the curve has its tangent in the same
* direction as the average of the tangents at its beginning and end.
*/
export function getAverageTangentTimeOfCurve(v)
{
var tan = paper.Curve.getTangent(v, 0).add(
paper.Curve.getTangent(v, 0.5)).add(
paper.Curve.getTangent(v, 1)),
tx = tan.x,
ty = tan.y,
flip = Math.abs(ty) < Math.abs(tx),
s = flip ? ty / tx : tx / ty,
ia = flip ? 1 : 0, // the abscissa index
io = ia ^ 1, // the ordinate index
a0 = v[ia + 0], o0 = v[io + 0],
a1 = v[ia + 2], o1 = v[io + 2],
a2 = v[ia + 4], o2 = v[io + 4],
a3 = v[ia + 6], o3 = v[io + 6],
aA = -a0 + 3 * a1 - 3 * a2 + a3,
aB = 3 * a0 - 6 * a1 + 3 * a2,
aC = -3 * a0 + 3 * a1,
oA = -o0 + 3 * o1 - 3 * o2 + o3,
oB = 3 * o0 - 6 * o1 + 3 * o2,
oC = -3 * o0 + 3 * o1,
roots = [],
epsilon = paper.Numerical.CURVETIME_EPSILON,
count = paper.Numerical.solveQuadratic(
3 * (aA - s * oA),
2 * (aB - s * oB),
aC - s * oC, roots,
epsilon, 1 - epsilon);
// Fall back to 0.5, so we always have a place to split...
return count > 0 ? roots[0] : 0.5;
}
///*
// *
// * path stuff
// *
// */
export function MakePathFromCurves(curves, closedpath)
{
if (!util.isArray(curves)) { curves = [curves]; }
if (curves.length == 0) { return null; }
var segs = [];
segs.push(curves[0].segment1);
for (var i = 0; i < curves.length - 1; i++)
{
segs.push(new paper.Segment(PointLerp(curves[i].point2, curves[i + 1].point1, 0.5), curves[i].segment2.handleIn, curves[i + 1].segment1.handleOut));
}
segs.push(curves[curves.length - 1].segment2);
var rpath = new paper.Path(segs);
if (closedpath) { rpath.closePath(); }
return rpath;
}
export function SplitCompoundIntoArray(path)
{
var patharray = [];
if (path instanceof paper.CompoundPath)
{
for (var i = 0; i < path.children.length; i++)
{
patharray = patharray.concat(SplitCompoundIntoArray(path.children[i]));
}
return patharray;
}
else
{
var tp = new paper.Path(path.segments);
if (path.closed) { tp.closePath(); }
return [tp];
}
}
///*
// *
// * Geom
// *
// */
export function GetCircleCenter(point1, point2, radius, epsilon = 1e-9)
{
var absradius = Math.abs(radius);
var distancebetweenpoints = point1.getDistance(point2);
if (distancebetweenpoints <= epsilon) { return { Error: 1 }; } // need two unique points so return error
if (distancebetweenpoints > absradius * 2) { return { Error: 2 }; } // points too far away so circle isn't big enough
var midpoint = PointLerp(point1, point2, 0.5);
var middistance = point1.getDistance(midpoint);
var centerdistance = Math.sqrt(Math.abs((absradius * absradius) - (middistance * middistance)));
var linetocenter = (midpoint.subtract(point1)).normalize(centerdistance);
var center1 = (midpoint.add(linetocenter.rotate(-90)));
var center2 = (midpoint.add(linetocenter.rotate(90)));
if (radius > 0)
{
return { Center1: center1, Center2: center2, Error: 0 };
}
else
{
return { Center1: center2, Center2: center1, Error: 0 };
}
}
export function FindCircleCircleintersection(center1, radius1, center2, radius2)
{
var r0 = Math.abs(radius1);
var r1 = Math.abs(radius2);
var a, dx, dy, d, h, rx, ry;
var x2, y2;
/* dx and dy are the vertical and horizontal distances between
* the circle centers.
*/
dx = center2.x - center1.x;
dy = center2.y - center1.y;
/* Determine the straight-line distance between the centers. */
d = Math.sqrt((dy * dy) + (dx * dx));
/* Check for solvability. */
if (d > (r0 + r1))
{
/* no solution. circles do not intersect. */
return null;
}
if (d < Math.abs(r0 - r1))
{
/* no solution. one circle is contained in the other */
return null;
}
/* 'point 2' is the point where the line through the circle
* intersection points crosses the line between the circle
* centers.
*/
/* Determine the distance from point 0 to point 2. */
a = ((r0 * r0) - (r1 * r1) + (d * d)) / (2.0 * d);
/* Determine the coordinates of point 2. */
x2 = center1.x + (dx * a / d);
y2 = center1.y + (dy * a / d);
/* Determine the distance from point 2 to either of the
* intersection points.
*/
h = Math.sqrt((r0 * r0) - (a * a));
/* Now determine the offsets of the intersection points from
* point 2.
*/
rx = -dy * (h / d);
ry = dx * (h / d);
/* Determine the absolute intersection points. */
var xi = x2 + rx;
var xi_prime = x2 - rx;
var yi = y2 + ry;
var yi_prime = y2 - ry;
//debugger;
if (radius1 >= 0 && radius2 >= 0) { return new paper.Point(xi_prime, yi_prime); }
if (radius1 <= 0 && radius2 <= 0) { return new paper.Point(xi, yi); }
// [xi, xi_prime, yi, yi_prime];
}
export function getarcmiddle(startpoint, center, endpoint, tangent)
{
var v1 = startpoint.subtract(center);
var v2 = endpoint.subtract(center);
var newlength = v1.length + ((v2.length - v1.length) / 2);
var angle = v1.getDirectedAngle(v2);
if (Math.abs(Math.abs(angle) - 180) < 1)
{
return center.add(tangent.normalize(newlength));
}
return center.add((v1.normalize(newlength)).rotate(angle / 2));
}
///*
// *
// * file
// *
// */
export function SavePaths(paths, filename, object = { Multicolor: false, FirstPathBlack: false, StrokeWidth: 0.1, PercentageBorders: 5, SetBorder: 0 })
{
if (object.Multicolor == null) { object.Multicolor = false; }
if (object.FirstPathBlack == null) { object.FirstPathBlack = false; }
if (object.StrokeWidth == null) { object.StrokeWidth = 0.1; }
if (object.PercentageBorders == null) { object.PercentageBorders = 5; }
if (object.SetBorder == null) { object.SetBorder = 0; }
filename = filename + ".SVG";
if (!util.isArray(paths)) { paths = [paths]; }
var color = new paper.Color(1, 0, 0);
var colorshift = 350 / paths.length;
var output = '';
var TopLeftPoint = new paper.Point(Number.MAX_SAFE_INTEGER, Number.MAX_SAFE_INTEGER);
var BottemRightPoint = new paper.Point(0, 0);
var SizePoint;
for (var i = 0; i < paths.length; i++)
{
if (paths[i] != null)
{
if (paths[i].strokeColor == null)
{
paths[i].strokeColor = '#000000';
paths[i].strokeWidth = object.StrokeWidth;
}
if (object.Multicolor)
{
paths[i].strokeColor = color.clone();
color.hue += colorshift;
}
if (object.FirstPathBlack && i == 0)
{
paths[i].strokeColor = '#000000';
}
TopLeftPoint = paper.Point.min(TopLeftPoint, paths[i].bounds.topLeft);
BottemRightPoint = paper.Point.max(BottemRightPoint, paths[i].bounds.bottomRight);
output += paths[i].exportSVG({ asString: true }) + "\r\n";
}
}
SizePoint = (BottemRightPoint.subtract(TopLeftPoint));
if (SizePoint.x == 0) { SizePoint.x = 1; }
if (SizePoint.y == 0) { SizePoint.y = 1; }
if (object.PercentageBorders != 0 && object.SetBorder == 0)
{
var perc = SizePoint.multiply(object.PercentageBorders / 100);
BottemRightPoint = BottemRightPoint.add(perc);
TopLeftPoint = TopLeftPoint.subtract(perc);
}
else if (object.SetBorder != 0)
{
var perc = new paper.Point(object.SetBorder, object.SetBorder);
BottemRightPoint = BottemRightPoint.add(perc);
TopLeftPoint = TopLeftPoint.subtract(perc);
}
SizePoint = (BottemRightPoint.subtract(TopLeftPoint));
if (SizePoint.x == 0) { SizePoint.x = 1; }
if (SizePoint.y == 0) { SizePoint.y = 1; }
var viewportstring = "0 0 " + SizePoint.x + " " + SizePoint.y + " ";
var viewboxstring = " " + TopLeftPoint.x + " " + TopLeftPoint.y + " " + SizePoint.x + " " + SizePoint.y + " ";
output = '<svg version="1.1" baseProfile="full" viewBox="' + viewboxstring + '" viewPort="' + viewportstring + '" xmlns="http://www.w3.org/2000/svg"> \r\n' + output + "</svg>";
fs.writeFileSync(filename, output);
}
/*8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888*/
/*
*
* Deffos
*
*/
//const ZERO_POINT = new paper.Point(0, 0);
//const MAX_POINT = new paper.Point(Number.MAX_SAFE_INTEGER, Number.MAX_SAFE_INTEGER);
///*
// *
// * Little helpers
// *
// */
//export function PointLerp(point1, point2, percentage)
//{
// return point1.add((point2.subtract(point1)).multiply(percentage))
//}
///*
// *
// * Array/List helpers
// *
// */
//export function GetDistanceBetweenIndexs(index1, index2, listlength)
//{
// if (index1 < index2) { return index2 - index1; }
// return index2 + (listlength - index1);
//}
/*
* File stuff
*
*
*/
/*
*
*
* Circle fitting
*
*/
//export function FitCircle(curves, circlecenter, circleradius,canshrink,epsilon = 1e-6)
//{
// if (curves.length < 2) { console.log("Error: Fit circle funtion needs at least two curves");}
// var abscircleradius = Math.abs(circleradius);
// var rdata = { Center: circlecenter,Type:0 };
// var oldcenter = MAX_POINT;
// var olddistance = Number.MAX_SAFE_INTEGER;
// var circledata = { Center: circlecenter };
// var count = 100;
// while (1)
// {
// var distance = circledata.Center.getDistance(oldcenter);
// console.log("distance " + distance);
// //if (distance == olddistance)
// //{
// // if(!canshrink)
// // return circledata;
// //}
// //olddistance = distance;
// if (circledata.Center.isClose(oldcenter, epsilon)||count ==0)
// {
// if (count == 0) { console.log("counted out");}
// return circledata;
// }
// oldcenter = circledata.Center;
// count--;
// var curvesdata = GetCurvesData();
// if (!curvesdata[1].InRange)
// {
// circledata.Center = curvesdata[0].OffPoint;
// }
// else // so should have two valid points then
// {
// var circlefitdata = GetCircleCenter(curvesdata[0].Point, curvesdata[1].Point, circleradius,epsilon);
// console.log("error : " + circlefitdata.Error);
// console.log("ids " + curvesdata[0].CurveIndex + "," + curvesdata[1].CurveIndex);
// if (circlefitdata.Error == 0)
// {
// if (circlefitdata.Center1.getDistance(circledata.Center) < circlefitdata.Center2.getDistance(circledata.Center))
// {
// circledata.Center = circlefitdata.Center1;
// }
// else
// {
// circledata.Center = circlefitdata.Center2;
// }
// }
// else if (circlefitdata.Error == 1) // points too close
// {
// if (curvesdata[0].Normal.equals(curvesdata[1].Normal))// not expanding or shrinking
// {
// circledata.Center = curvesdata[0].OffPoint;
// }
// else
// {
// var combinednormal = curvesdata[0].Normal.add(curvesdata[1].Normal);
// if (combinednormal.isZero()) // is 180 degree so cap end
// {
// if (GetDistanceBetweenIndexs(curvesdata[0].CurveId, curvesdata[1].CurveId, curvesdata.length) < GetDistanceBetweenIndexs(curvesdata[1].CurveId, curvesdata[0].CurveId, curvesdata.length))
// {
// circledata.Center = (curvesdata[0].Normal.rotate(-90)).add(curvesdata[0].Point);
// }
// else
// {
// circledata.Center = (curvesdata[0].Normal.rotate(90)).add(curvesdata[0].Point);
// }
// }
// else // must be an expander then
// {
// circledata.Center = (combinednormal.normalize(abscircleradius)).add(curvesdata[0].Point);
// }
// }
// }
// else if (circlefitdata.Error == 0)
// {
// console.log("ERROR: FIT CIRCLE SHOWING ERROR 0");
// circledata.Center = curvesdata[0].OffPoint;
// }
// }
// }
// function GetCurvesData()
// {
// var curvedatalist = [];
// for (var i = 0; i < curves.length; i++)
// {
// var point = curves[i].getNearestPoint(circledata.Center);
// var distance = circledata.Center.getDistance(point);
// var inrange = distance < abscircleradius + epsilon;
// var time = curves[i].getTimeOf(point);
// var normal = curves[i].getNormalAtTime(time).normalize(circleradius);
// var offpoint = normal.add(point);
// curvedatalist.push({ Point: point, Distance: distance, InRange: inrange, OffPoint:offpoint,Normal:normal,Time:time,CurveIndex:i});
// }
// curvedatalist.sort(function (a, b){return a.Distance - b.Distance;});
// return curvedatalist;
// }
//}
//export function FitCircle(curves, circlecenter, circleradius, canshrink, epsilon = 1e-6)
//{
// var circledata = { Center: circlecenter };
// var abscircleradius = Math.abs(circleradius);
// var oldcenter = MAX_POINT;
// while (1)
// {
// if (oldcenter.isClose(circledata.Center, epsilon))
// {
// return circledata;
// }
// oldcenter = circledata.Center;
// var curvedata = GetCurvesData();
// circledata.Center = curvedata[0].OffPoint;
// }
// function GetCurvesData()
// {
// var curvedatalist = [];
// for (var i = 0; i < curves.length; i++)
// {
// var point = curves[i].getNearestPoint(circledata.Center);
// var distance = circledata.Center.getDistance(point);
// var inrange = distance < abscircleradius + epsilon;
// var time = curves[i].getTimeOf(point);
// var normal = curves[i].getNormalAtTime(time).normalize(circleradius);
// var offpoint = normal.add(point);
// curvedatalist.push({ Point: point, Distance: distance, InRange: inrange, OffPoint:offpoint,Normal:normal,Time:time,CurveIndex:i});
// }
// curvedatalist.sort(function (a, b){return a.Distance - b.Distance;});
// return curvedatalist;
// }
//}
///*
// *
// * Geom stuff
// *
// */
//export function GetCircleCenter(point1, point2, radius, epsilon = 1e-6)
//{
// var absradius = Math.abs(radius);
// var distancebetweenpoints = point1.getDistance(point2);
// if (distancebetweenpoints < epsilon) { return { Error: 1 }; } // need two unique points so return error
// if (distancebetweenpoints > absradius * 2) { return { Error: 2 }; } // points too far away so circle isn't big enough
// var midpoint = PointLerp(point1, point2, 0.5);
// var middistance = point1.getDistance(midpoint);
// var centerdistance = Math.sqrt(Math.abs((absradius * absradius) - (middistance * middistance)));
// if (centerdistance < epsilon) { return { Center1: midpoint,Center2:midpoint, PossibleCenters: 1, Error: 0 }; } // both points only just touch the circle
// var linetocenter = (midpoint.subtract(point1)).normalize(centerdistance);
// if (radius > 0)
// {
// return { Center1: (midpoint.add(linetocenter.rotate(-90))), Center2: (midpoint.add(linetocenter.rotate(90))), PossibleCenters: 2, Error: 0 };
// }
// else
// {
// return { Center1: (midpoint.add(linetocenter.rotate(90))), Center2: (midpoint.add(linetocenter.rotate(-90))), PossibleCenters: 2, Error: 0 };
// }
//}
//const OFFSET_EPSILON = 1e-6;
//export function MIB(i, max)
//{
// while (i >= max) { i -= max; }
// while (i < 0) { i += max; }
// return i;
//}
//export function PointLerp(point1, point2, percentage)
//{
// return point1.add((point2.subtract(point1)).multiply(percentage))
//}
//export function BreakPathAtPeaks(path)
//{
// var path = path.clone();
// for (var i = 0; i < path.curves.length; i++)
// {
// if (!path.curves[i].isStraight())
// {
// var times = paper.Curve.getPeaks(path.curves[i].getValues()).concat(path.curves[i].classify().roots);
// times = times.filter(Number);
// times.sort(function (a, b) { return a - b; });
// if (times.length > 0)
// {
// path.divideAt(path.curves[i].getLocationAtTime(times[0]));
// }
// }
// }
// return path;
//}
//function SwapForShortestRoute(id1, id2, listlength)
//{
// var min = Math.min(id1, id2);
// var max = Math.max(id1, id2);
// var d1 = max - min;
// var d2 = (listlength - max) + min;
// if (d1 <= d2)
// {
// return id1 != min;
// }
// else
// {
// return id1 != max;
// }
//}
//export function NumberLerp(number1, number2, percentage)
//{
// return number1 + ((number2 - number1) * percentage);
//}
//export function GetCurveDataForCircle(curves, center, radius)
//{
// var data = [];
// var absradius = Math.abs(radius);
// for (var i = 0; i < curves.length; i++)
// {
// var point = curves[i].getNearestPoint(center);
// var distance = point.getDistance(center);
// var inrange = distance <= absradius * 1.01; // .1% tolerance
// var time = curves[i].getTimeOf(point);
// var normal = curves[i].getNormalAtTime(time).normalize(radius);
// var offpoint = normal.add(point);
// data.push({ Point: point, Distance: distance, InRange: inrange, Time: time, Normal: normal, OffPoint: offpoint, CurveId: i });
// }
// data.sort(function (a, b)
// {
// return a.Distance - b.Distance;
// });
// if (data.length >= 2)
// {
// if (data[0].InRange && data[1].InRange)
// {
// if (SwapForShortestRoute(data[0].CurveId, data[1].CurveId, curves.length))
// {
// var t = data[0];
// data[0] = data[1];
// data[1] = t;
// }
// }
// }
// return data;
//}
//export function SplitCurveAtTimes(originalcurve, timelist)
//{
// if (!util.isArray(timelist)) { timelist = [timelist]; }
// timelist.sort(function (a, b) { return a - b; })
// var curvelist = [];
// if (originalcurve.isStraight())
// {
// var zeropoint = new paper.Point(0, 0);
// if (timelist[0] != 0)
// {
// timelist.splice(0, 0, 0);
// }
// if (timelist[timelist.length - 1] != 1)
// {
// timelist.push(1);
// }
// for (var i = 0; i < timelist.length - 1; i++)
// {
// var p1 = originalcurve.getPointAtTime(timelist[i]);
// var p2 = originalcurve.getPointAtTime(timelist[i + 1]);
// curvelist.push(new paper.Curve(p1, zeropoint, zeropoint, p2));
// }
// }
// else
// {
// curvelist = [originalcurve.clone()];
// var index = 0;
// for (var i = 0, prevT, l = timelist && timelist.length; i < l; i++)
// {
// var t = timelist[i];
// var curve = curvelist[index].divideAtTime(i ? (t - prevT) / (1 - prevT) : t);
// prevT = t;
// if (curve)
// {
// curvelist.splice(++index, 0, curve);
// }
// }
// }
// return curvelist;
//}
//export function RecursiveDivideCurve(curve, tolerance)
//{
// if (curve.bounds.center.isClose(curve.getPointAtTime(0.5), tolerance)) { return [curve.clone()]; }
// var halves = SplitCurveAtTimes(curve, [0.5]);
// return RecursiveDivideCurve(halves[0], tolerance).concat(RecursiveDivideCurve(halves[1], tolerance));
//}
//export function GetArcThroughPointFor(radius, center, startpos, endpos)
//{
// var middle = PointLerp(startpos, endpos, 0.5);
// middle = middle.subtract(center);
// console.log("middle length " + middle.length);
// if (middle.length > OFFSET_EPSILON)
// {
// middle = middle.normalize(Math.abs(radius));
// }
// else
// {
// middle = (endpos.subtract(center)).rotate(-90);
// }
// middle = middle.add(center)
// return middle;
//}
//export function FindCircleCircleintersection(center1, radius1, center2, radius2)
//{
// var r0 = Math.abs(radius1);
// var r1 = Math.abs(radius2);
// var a, dx, dy, d, h, rx, ry;
// var x2, y2;
// /* dx and dy are the vertical and horizontal distances between
// * the circle centers.
// */
// dx = center2.x - center1.x;
// dy = center2.y - center1.y;
// /* Determine the straight-line distance between the centers. */
// d = Math.sqrt((dy * dy) + (dx * dx));
// /* Check for solvability. */
// if (d > (r0 + r1))
// {
// /* no solution. circles do not intersect. */
// return null;
// }
// if (d < Math.abs(r0 - r1))
// {
// /* no solution. one circle is contained in the other */
// return null;
// }
// /* 'point 2' is the point where the line through the circle
// * intersection points crosses the line between the circle
// * centers.
// */
// /* Determine the distance from point 0 to point 2. */
// a = ((r0 * r0) - (r1 * r1) + (d * d)) / (2.0 * d);
// /* Determine the coordinates of point 2. */
// x2 = center1.x + (dx * a / d);
// y2 = center1.y + (dy * a / d);
// /* Determine the distance from point 2 to either of the
// * intersection points.
// */
// h = Math.sqrt((r0 * r0) - (a * a));
// /* Now determine the offsets of the intersection points from
// * point 2.
// */
// rx = -dy * (h / d);
// ry = dx * (h / d);
// /* Determine the absolute intersection points. */
// var xi = x2 + rx;
// var xi_prime = x2 - rx;
// var yi = y2 + ry;
// var yi_prime = y2 - ry;
// //debugger;
// if (radius1 >= 0 && radius2 >= 0) { return new paper.Point(xi_prime, yi_prime); }
// if (radius1 <= 0 && radius2 <= 0) { return new paper.Point(xi, yi); }
// // [xi, xi_prime, yi, yi_prime];
//}
//export function FitCircleOntoCurves(curves,center,radius)
//{
// var absradius = Math.abs(radius);
// var curvedata = [];
// var data = { Center: center, PointsOfContact: 0, Type: 0, Radius: radius, CurveData1: null, CurveData2: null };
// var oldcenter = new paper.Point(Number.MAX_SAFE_INTEGER, Number.MAX_SAFE_INTEGER);
// for (var i = 0; i < 10;i++)
// {
// // console.log("i " + i);
// curvedata = GetCurveDataForCircle(curves, data.Center, radius);
// if (oldcenter.isClose(data.Center, OFFSET_EPSILON))
// {
// if (curvedata.length >= 3)
// {
// if (curvedata[2].Distance < absradius)
// {
// var tvar = GetCircleFrom3Points(curvedata[0].Point, curvedata[1].Point, curvedata[2].Point);
// if (tvar != null)
// {
// var newradius = tvar[1];
// if (radius < 0) { newradius *= -1; }
// var diff = Math.abs(newradius - radius);
// console.log(diff + " new radius " + newradius);