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338 lines
8.6 KiB
338 lines
8.6 KiB
/**
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* @module ol/geom/flat/closest
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*/
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import {lerp, squaredDistance as squaredDx} from '../../math.js';
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/**
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* Returns the point on the 2D line segment flatCoordinates[offset1] to
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* flatCoordinates[offset2] that is closest to the point (x, y). Extra
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* dimensions are linearly interpolated.
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* @param {Array<number>} flatCoordinates Flat coordinates.
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* @param {number} offset1 Offset 1.
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* @param {number} offset2 Offset 2.
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* @param {number} stride Stride.
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* @param {number} x X.
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* @param {number} y Y.
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* @param {Array<number>} closestPoint Closest point.
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*/
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function assignClosest(
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flatCoordinates,
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offset1,
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offset2,
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stride,
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x,
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y,
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closestPoint
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) {
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const x1 = flatCoordinates[offset1];
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const y1 = flatCoordinates[offset1 + 1];
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const dx = flatCoordinates[offset2] - x1;
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const dy = flatCoordinates[offset2 + 1] - y1;
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let offset;
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if (dx === 0 && dy === 0) {
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offset = offset1;
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} else {
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const t = ((x - x1) * dx + (y - y1) * dy) / (dx * dx + dy * dy);
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if (t > 1) {
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offset = offset2;
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} else if (t > 0) {
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for (let i = 0; i < stride; ++i) {
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closestPoint[i] = lerp(
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flatCoordinates[offset1 + i],
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flatCoordinates[offset2 + i],
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t
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);
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}
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closestPoint.length = stride;
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return;
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} else {
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offset = offset1;
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}
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}
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for (let i = 0; i < stride; ++i) {
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closestPoint[i] = flatCoordinates[offset + i];
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}
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closestPoint.length = stride;
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}
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/**
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* Return the squared of the largest distance between any pair of consecutive
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* coordinates.
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* @param {Array<number>} flatCoordinates Flat coordinates.
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* @param {number} offset Offset.
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* @param {number} end End.
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* @param {number} stride Stride.
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* @param {number} max Max squared delta.
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* @return {number} Max squared delta.
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*/
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export function maxSquaredDelta(flatCoordinates, offset, end, stride, max) {
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let x1 = flatCoordinates[offset];
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let y1 = flatCoordinates[offset + 1];
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for (offset += stride; offset < end; offset += stride) {
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const x2 = flatCoordinates[offset];
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const y2 = flatCoordinates[offset + 1];
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const squaredDelta = squaredDx(x1, y1, x2, y2);
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if (squaredDelta > max) {
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max = squaredDelta;
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}
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x1 = x2;
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y1 = y2;
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}
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return max;
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}
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/**
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* @param {Array<number>} flatCoordinates Flat coordinates.
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* @param {number} offset Offset.
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* @param {Array<number>} ends Ends.
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* @param {number} stride Stride.
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* @param {number} max Max squared delta.
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* @return {number} Max squared delta.
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*/
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export function arrayMaxSquaredDelta(
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flatCoordinates,
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offset,
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ends,
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stride,
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max
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) {
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for (let i = 0, ii = ends.length; i < ii; ++i) {
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const end = ends[i];
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max = maxSquaredDelta(flatCoordinates, offset, end, stride, max);
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offset = end;
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}
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return max;
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}
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/**
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* @param {Array<number>} flatCoordinates Flat coordinates.
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* @param {number} offset Offset.
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* @param {Array<Array<number>>} endss Endss.
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* @param {number} stride Stride.
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* @param {number} max Max squared delta.
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* @return {number} Max squared delta.
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*/
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export function multiArrayMaxSquaredDelta(
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flatCoordinates,
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offset,
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endss,
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stride,
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max
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) {
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for (let i = 0, ii = endss.length; i < ii; ++i) {
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const ends = endss[i];
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max = arrayMaxSquaredDelta(flatCoordinates, offset, ends, stride, max);
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offset = ends[ends.length - 1];
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}
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return max;
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}
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/**
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* @param {Array<number>} flatCoordinates Flat coordinates.
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* @param {number} offset Offset.
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* @param {number} end End.
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* @param {number} stride Stride.
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* @param {number} maxDelta Max delta.
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* @param {boolean} isRing Is ring.
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* @param {number} x X.
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* @param {number} y Y.
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* @param {Array<number>} closestPoint Closest point.
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* @param {number} minSquaredDistance Minimum squared distance.
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* @param {Array<number>} [tmpPoint] Temporary point object.
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* @return {number} Minimum squared distance.
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*/
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export function assignClosestPoint(
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flatCoordinates,
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offset,
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end,
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stride,
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maxDelta,
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isRing,
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x,
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y,
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closestPoint,
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minSquaredDistance,
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tmpPoint
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) {
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if (offset == end) {
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return minSquaredDistance;
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}
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let i, squaredDistance;
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if (maxDelta === 0) {
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// All points are identical, so just test the first point.
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squaredDistance = squaredDx(
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x,
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y,
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flatCoordinates[offset],
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flatCoordinates[offset + 1]
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);
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if (squaredDistance < minSquaredDistance) {
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for (i = 0; i < stride; ++i) {
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closestPoint[i] = flatCoordinates[offset + i];
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}
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closestPoint.length = stride;
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return squaredDistance;
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} else {
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return minSquaredDistance;
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}
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}
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tmpPoint = tmpPoint ? tmpPoint : [NaN, NaN];
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let index = offset + stride;
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while (index < end) {
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assignClosest(
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flatCoordinates,
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index - stride,
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index,
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stride,
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x,
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y,
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tmpPoint
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);
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squaredDistance = squaredDx(x, y, tmpPoint[0], tmpPoint[1]);
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if (squaredDistance < minSquaredDistance) {
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minSquaredDistance = squaredDistance;
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for (i = 0; i < stride; ++i) {
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closestPoint[i] = tmpPoint[i];
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}
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closestPoint.length = stride;
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index += stride;
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} else {
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// Skip ahead multiple points, because we know that all the skipped
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// points cannot be any closer than the closest point we have found so
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// far. We know this because we know how close the current point is, how
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// close the closest point we have found so far is, and the maximum
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// distance between consecutive points. For example, if we're currently
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// at distance 10, the best we've found so far is 3, and that the maximum
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// distance between consecutive points is 2, then we'll need to skip at
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// least (10 - 3) / 2 == 3 (rounded down) points to have any chance of
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// finding a closer point. We use Math.max(..., 1) to ensure that we
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// always advance at least one point, to avoid an infinite loop.
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index +=
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stride *
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Math.max(
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((Math.sqrt(squaredDistance) - Math.sqrt(minSquaredDistance)) /
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maxDelta) |
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0,
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1
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);
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}
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}
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if (isRing) {
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// Check the closing segment.
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assignClosest(
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flatCoordinates,
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end - stride,
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offset,
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stride,
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x,
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y,
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tmpPoint
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);
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squaredDistance = squaredDx(x, y, tmpPoint[0], tmpPoint[1]);
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if (squaredDistance < minSquaredDistance) {
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minSquaredDistance = squaredDistance;
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for (i = 0; i < stride; ++i) {
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closestPoint[i] = tmpPoint[i];
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}
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closestPoint.length = stride;
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}
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}
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return minSquaredDistance;
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}
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/**
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* @param {Array<number>} flatCoordinates Flat coordinates.
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* @param {number} offset Offset.
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* @param {Array<number>} ends Ends.
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* @param {number} stride Stride.
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* @param {number} maxDelta Max delta.
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* @param {boolean} isRing Is ring.
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* @param {number} x X.
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* @param {number} y Y.
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* @param {Array<number>} closestPoint Closest point.
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* @param {number} minSquaredDistance Minimum squared distance.
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* @param {Array<number>} [tmpPoint] Temporary point object.
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* @return {number} Minimum squared distance.
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*/
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export function assignClosestArrayPoint(
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flatCoordinates,
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offset,
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ends,
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stride,
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maxDelta,
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isRing,
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x,
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y,
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closestPoint,
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minSquaredDistance,
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tmpPoint
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) {
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tmpPoint = tmpPoint ? tmpPoint : [NaN, NaN];
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for (let i = 0, ii = ends.length; i < ii; ++i) {
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const end = ends[i];
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minSquaredDistance = assignClosestPoint(
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flatCoordinates,
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offset,
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end,
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stride,
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maxDelta,
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isRing,
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x,
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y,
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closestPoint,
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minSquaredDistance,
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tmpPoint
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);
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offset = end;
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}
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return minSquaredDistance;
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}
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/**
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* @param {Array<number>} flatCoordinates Flat coordinates.
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* @param {number} offset Offset.
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* @param {Array<Array<number>>} endss Endss.
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* @param {number} stride Stride.
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* @param {number} maxDelta Max delta.
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* @param {boolean} isRing Is ring.
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* @param {number} x X.
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* @param {number} y Y.
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* @param {Array<number>} closestPoint Closest point.
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* @param {number} minSquaredDistance Minimum squared distance.
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* @param {Array<number>} [tmpPoint] Temporary point object.
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* @return {number} Minimum squared distance.
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*/
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export function assignClosestMultiArrayPoint(
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flatCoordinates,
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offset,
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endss,
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stride,
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maxDelta,
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isRing,
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x,
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y,
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closestPoint,
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minSquaredDistance,
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tmpPoint
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) {
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tmpPoint = tmpPoint ? tmpPoint : [NaN, NaN];
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for (let i = 0, ii = endss.length; i < ii; ++i) {
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const ends = endss[i];
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minSquaredDistance = assignClosestArrayPoint(
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flatCoordinates,
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offset,
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ends,
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stride,
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maxDelta,
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isRing,
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x,
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y,
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closestPoint,
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minSquaredDistance,
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tmpPoint
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);
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offset = ends[ends.length - 1];
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}
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return minSquaredDistance;
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}
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