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211 lines
5.1 KiB
211 lines
5.1 KiB
/**
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* @module ol/geom/flat/interpolate
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*/
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import {binarySearch} from '../../array.js';
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import {lerp} from '../../math.js';
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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} fraction Fraction.
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* @param {Array<number>} [dest] Destination.
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* @param {number} [dimension] Destination dimension (default is `2`)
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* @return {Array<number>} Destination.
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*/
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export function interpolatePoint(
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flatCoordinates,
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offset,
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end,
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stride,
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fraction,
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dest,
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dimension
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) {
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let o, t;
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const n = (end - offset) / stride;
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if (n === 1) {
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o = offset;
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} else if (n === 2) {
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o = offset;
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t = fraction;
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} else if (n !== 0) {
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let x1 = flatCoordinates[offset];
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let y1 = flatCoordinates[offset + 1];
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let length = 0;
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const cumulativeLengths = [0];
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for (let i = offset + stride; i < end; i += stride) {
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const x2 = flatCoordinates[i];
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const y2 = flatCoordinates[i + 1];
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length += Math.sqrt((x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1));
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cumulativeLengths.push(length);
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x1 = x2;
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y1 = y2;
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}
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const target = fraction * length;
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const index = binarySearch(cumulativeLengths, target);
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if (index < 0) {
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t =
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(target - cumulativeLengths[-index - 2]) /
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(cumulativeLengths[-index - 1] - cumulativeLengths[-index - 2]);
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o = offset + (-index - 2) * stride;
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} else {
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o = offset + index * stride;
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}
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}
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dimension = dimension > 1 ? dimension : 2;
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dest = dest ? dest : new Array(dimension);
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for (let i = 0; i < dimension; ++i) {
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dest[i] =
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o === undefined
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? NaN
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: t === undefined
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? flatCoordinates[o + i]
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: lerp(flatCoordinates[o + i], flatCoordinates[o + stride + i], t);
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}
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return dest;
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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} m M.
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* @param {boolean} extrapolate Extrapolate.
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* @return {import("../../coordinate.js").Coordinate|null} Coordinate.
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*/
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export function lineStringCoordinateAtM(
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flatCoordinates,
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offset,
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end,
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stride,
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m,
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extrapolate
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) {
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if (end == offset) {
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return null;
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}
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let coordinate;
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if (m < flatCoordinates[offset + stride - 1]) {
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if (extrapolate) {
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coordinate = flatCoordinates.slice(offset, offset + stride);
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coordinate[stride - 1] = m;
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return coordinate;
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} else {
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return null;
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}
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} else if (flatCoordinates[end - 1] < m) {
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if (extrapolate) {
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coordinate = flatCoordinates.slice(end - stride, end);
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coordinate[stride - 1] = m;
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return coordinate;
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} else {
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return null;
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}
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}
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// FIXME use O(1) search
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if (m == flatCoordinates[offset + stride - 1]) {
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return flatCoordinates.slice(offset, offset + stride);
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}
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let lo = offset / stride;
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let hi = end / stride;
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while (lo < hi) {
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const mid = (lo + hi) >> 1;
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if (m < flatCoordinates[(mid + 1) * stride - 1]) {
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hi = mid;
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} else {
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lo = mid + 1;
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}
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}
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const m0 = flatCoordinates[lo * stride - 1];
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if (m == m0) {
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return flatCoordinates.slice((lo - 1) * stride, (lo - 1) * stride + stride);
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}
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const m1 = flatCoordinates[(lo + 1) * stride - 1];
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const t = (m - m0) / (m1 - m0);
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coordinate = [];
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for (let i = 0; i < stride - 1; ++i) {
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coordinate.push(
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lerp(
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flatCoordinates[(lo - 1) * stride + i],
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flatCoordinates[lo * stride + i],
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t
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)
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);
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}
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coordinate.push(m);
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return coordinate;
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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} m M.
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* @param {boolean} extrapolate Extrapolate.
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* @param {boolean} interpolate Interpolate.
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* @return {import("../../coordinate.js").Coordinate|null} Coordinate.
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*/
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export function lineStringsCoordinateAtM(
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flatCoordinates,
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offset,
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ends,
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stride,
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m,
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extrapolate,
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interpolate
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) {
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if (interpolate) {
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return lineStringCoordinateAtM(
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flatCoordinates,
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offset,
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ends[ends.length - 1],
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stride,
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m,
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extrapolate
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);
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}
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let coordinate;
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if (m < flatCoordinates[stride - 1]) {
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if (extrapolate) {
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coordinate = flatCoordinates.slice(0, stride);
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coordinate[stride - 1] = m;
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return coordinate;
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} else {
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return null;
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}
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}
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if (flatCoordinates[flatCoordinates.length - 1] < m) {
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if (extrapolate) {
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coordinate = flatCoordinates.slice(flatCoordinates.length - stride);
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coordinate[stride - 1] = m;
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return coordinate;
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} else {
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return null;
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}
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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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if (offset == end) {
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continue;
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}
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if (m < flatCoordinates[offset + stride - 1]) {
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return null;
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} else if (m <= flatCoordinates[end - 1]) {
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return lineStringCoordinateAtM(
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flatCoordinates,
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offset,
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end,
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stride,
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m,
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false
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);
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}
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offset = end;
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}
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return null;
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}
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