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193
Frontline.js
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193
Frontline.js
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// Cubic interpolation source from https://www.paulinternet.nl/?page=bicubic
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function cubicInterpolate(p, x) {
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return p[1] + 0.5 * x * (p[2] - p[0] + x * (2.0 * p[0] - 5.0 * p[1] + 4.0 * p[2] - p[3] + x * (3.0 * (p[1] - p[2]) + p[3] - p[0])));
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}
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export const LEFT_SIDE = 1;
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export const RIGHT_SIDE = 2;
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export const BOTH_SIDES = 3;
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/**
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* @param {Object} arrowData - Object with data for arrow
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* @param {{x: number, y: number}[]} arrowData.points - List of points defining the arrow's path.
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* @param {number} arrowData.splineStep - The density factor for the arrow's points.
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* @param {number} arrowData.spacing - The spacing between the points along the arrow.
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* @param {number} arrowData.offsetDistance - The offset distance for the arrow's path (width).
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* @param {number} arrowData.protrusionSize - Length of the square protrusion from the offset side.
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*
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* @returns {{x: number, y: number}[]} - An array of points representing the arrow polygon.
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*/
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export function getFrontline(protrusionData) {
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const style = protrusionData.style ?? LEFT_SIDE;
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const splinePoints = computeSplinePoints(protrusionData.points, protrusionData.splineStep);
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let bodyPolygonLeft = [];
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let bodyPolygonRight = [];
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if (style === BOTH_SIDES) {
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const {
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leftSidePoints: leftSidePointsLeftSide,
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rightSidePoints: rightSidePointsLeftSide
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} = computeSides(splinePoints, protrusionData.spacing, protrusionData.offsetDistance, LEFT_SIDE);
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bodyPolygonLeft = [...leftSidePointsLeftSide, ...rightSidePointsLeftSide.reverse()];
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const {
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leftSidePoints: leftSidePointsRightSide,
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rightSidePoints: rightSidePointsRightSide
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} = computeSides(splinePoints, protrusionData.spacing, protrusionData.offsetDistance, RIGHT_SIDE);
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bodyPolygonRight = [...leftSidePointsRightSide, ...rightSidePointsRightSide.reverse()];
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}
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const { leftSidePoints, rightSidePoints } = computeSides(splinePoints, protrusionData.spacing, protrusionData.offsetDistance, protrusionData.style);
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const bodyPolygon = [...leftSidePoints, ...rightSidePoints.reverse()];
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let protrusionPolygons = [];
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if (style === LEFT_SIDE) {
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protrusionPolygons = computeProtrusion(leftSidePoints, protrusionData);
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} else if (style === RIGHT_SIDE) {
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protrusionPolygons = computeProtrusion(rightSidePoints, protrusionData);
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} else if (style === BOTH_SIDES){
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let protrusionPolygonsLeft = computeProtrusion(leftSidePoints, protrusionData);
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let protrusionPolygonsRight = computeProtrusion(rightSidePoints, protrusionData);
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//protrusionPolygonsA = [...computeProtrusion(leftSidePoints, protrusionData), ...computeProtrusion(rightSidePoints, protrusionData)];
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return {
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bodyLeft: bodyPolygonLeft,
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bodyRight: bodyPolygonRight,
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protrusionsLeft: protrusionPolygonsLeft,
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protrusionsRight: protrusionPolygonsRight
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};
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}
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return {
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body: bodyPolygon,
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protrusions: protrusionPolygons
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};
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}
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function computeSplinePoints(points, density) {
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let splinePoints = [];
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for (let i = 0; i < points.length - 1; i++) {
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const p0 = points[i === 0 ? i : i - 1];
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const p1 = points[i];
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const p2 = points[i + 1];
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const p3 = points[i + 2] || p2;
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for (let t = 0; t <= 1; t += density) {
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splinePoints.push({
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x: cubicInterpolate([p0.x, p1.x, p2.x, p3.x], t),
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y: cubicInterpolate([p0.y, p1.y, p2.y, p3.y], t)
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});
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}
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}
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return splinePoints;
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}
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function computeSides(splinePoints, spacing, offsetDistance, style = LEFT_SIDE) {
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let dots = [];
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let leftSidePoints = [];
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let rightSidePoints = [];
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let accumulatedDistance = 0;
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for (let i = 1; i < splinePoints.length; i++) {
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const previousPoint = splinePoints[i - 1];
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const currentPoint = splinePoints[i];
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const segmentLength = Math.hypot(currentPoint.x - previousPoint.x, currentPoint.y - previousPoint.y);
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accumulatedDistance += segmentLength;
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if (accumulatedDistance >= spacing || i === 1 || i === splinePoints.length - 1) {
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const distanceX = currentPoint.y - previousPoint.y;
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const distanceY = previousPoint.x - currentPoint.x;
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const length = Math.hypot(distanceX, distanceY);
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let localOffsetDistance = offsetDistance;
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const offsetX = (distanceX / length) * localOffsetDistance;
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const offsetY = (distanceY / length) * localOffsetDistance;
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dots.push({ x: currentPoint.x + offsetX, y: currentPoint.y + offsetY });
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dots.push({ x: currentPoint.x - offsetX, y: currentPoint.y - offsetY });
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accumulatedDistance = 0;
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if (style === LEFT_SIDE) {
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leftSidePoints.push({ x: currentPoint.x + offsetX, y: currentPoint.y + offsetY});
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rightSidePoints.push({ x: currentPoint.x, y: currentPoint.y});
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} else if (style === RIGHT_SIDE) {
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leftSidePoints.push({ x: currentPoint.x, y: currentPoint.y});
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rightSidePoints.push({ x: currentPoint.x - offsetX, y: currentPoint.y - offsetY});
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} else if (style === BOTH_SIDES) {
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leftSidePoints.push({ x: currentPoint.x + offsetX, y: currentPoint.y + offsetY });
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rightSidePoints.push({ x: currentPoint.x - offsetX, y: currentPoint.y - offsetY});
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}
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}
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}
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return { leftSidePoints, rightSidePoints };
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}
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function computeProtrusion(leftSidePoints, protrusionData) {
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let protrusions = [];
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const segments = [];
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let totalLength = 0;
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for (let i = 0; i < leftSidePoints.length - 1; i++) {
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const p0 = leftSidePoints[i];
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const p1 = leftSidePoints[i + 1];
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const dx = p1.x - p0.x;
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const dy = p1.y - p0.y;
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const length = Math.hypot(dx, dy);
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segments.push({ p0, p1, dx, dy, length });
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totalLength += length;
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}
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const positions = [];
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for (let d = 0; d <= totalLength - (protrusionData.protrusionGap + protrusionData.protrusionStartSize); d += protrusionData.protrusionGap) {
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positions.push(d + protrusionData.protrusionStartSize);
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}
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if (positions[positions.length - 1] < totalLength) {
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positions.push(totalLength - protrusionData.protrusionStartSize);
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}
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let currentSegmentIndex = 0;
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let currentSegmentPos = 0;
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for (const distance of positions) {
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while (currentSegmentIndex < segments.length &&
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currentSegmentPos + segments[currentSegmentIndex].length < distance) {
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currentSegmentPos += segments[currentSegmentIndex].length;
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currentSegmentIndex++;
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}
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if (currentSegmentIndex >= segments.length) break;
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const seg = segments[currentSegmentIndex];
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const localDistance = distance - currentSegmentPos;
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const t = localDistance / seg.length;
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const x = seg.p0.x + seg.dx * t;
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const y = seg.p0.y + seg.dy * t;
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const nx = -seg.dy / seg.length;
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const ny = seg.dx / seg.length;
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const centerX = x - nx * protrusionData.protrusionLength;
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const centerY = y - ny * protrusionData.protrusionLength;
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const ux = seg.dx / seg.length;
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const uy = seg.dy / seg.length;
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const corner1 = { x: x - ux * protrusionData.protrusionStartSize - nx * 0, y: y - uy * protrusionData.protrusionStartSize - ny * 0 };
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const corner2 = { x: x + ux * protrusionData.protrusionStartSize - nx * 0, y: y + uy * protrusionData.protrusionStartSize - ny * 0 };
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const corner3 = { x: centerX + ux * protrusionData.protrusionEndSize, y: centerY + uy * protrusionData.protrusionEndSize };
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const corner4 = { x: centerX - ux * protrusionData.protrusionEndSize, y: centerY - uy * protrusionData.protrusionEndSize };
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protrusions.push([corner1, corner2, corner3, corner4]);
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}
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return protrusions;
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}
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