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- import {
- ExcalidrawElement,
- ExcalidrawLinearElement,
- ExcalidrawTextElement,
- Arrowhead,
- NonDeletedExcalidrawElement,
- ExcalidrawFreeDrawElement,
- } from "../element/types";
- import {
- isTextElement,
- isLinearElement,
- isFreeDrawElement,
- } from "../element/typeChecks";
- import {
- getDiamondPoints,
- getElementAbsoluteCoords,
- getArrowheadPoints,
- } from "../element/bounds";
- import { RoughCanvas } from "roughjs/bin/canvas";
- import { Drawable, Options } from "roughjs/bin/core";
- import { RoughSVG } from "roughjs/bin/svg";
- import { RoughGenerator } from "roughjs/bin/generator";
- import { SceneState } from "../scene/types";
- import {
- SVG_NS,
- distance,
- getFontString,
- getFontFamilyString,
- isRTL,
- } from "../utils";
- import { isPathALoop } from "../math";
- import rough from "roughjs/bin/rough";
- import { Zoom } from "../types";
- import { getDefaultAppState } from "../appState";
- import getFreeDrawShape from "perfect-freehand";
-
- const defaultAppState = getDefaultAppState();
-
- const getDashArrayDashed = (strokeWidth: number) => [8, 8 + strokeWidth];
-
- const getDashArrayDotted = (strokeWidth: number) => [1.5, 6 + strokeWidth];
-
- const getCanvasPadding = (element: ExcalidrawElement) =>
- element.type === "freedraw" ? element.strokeWidth * 12 : 20;
-
- export interface ExcalidrawElementWithCanvas {
- element: ExcalidrawElement | ExcalidrawTextElement;
- canvas: HTMLCanvasElement;
- canvasZoom: Zoom["value"];
- canvasOffsetX: number;
- canvasOffsetY: number;
- }
-
- const generateElementCanvas = (
- element: NonDeletedExcalidrawElement,
- zoom: Zoom,
- ): ExcalidrawElementWithCanvas => {
- const canvas = document.createElement("canvas");
- const context = canvas.getContext("2d")!;
- const padding = getCanvasPadding(element);
-
- let canvasOffsetX = 0;
- let canvasOffsetY = 0;
-
- if (isLinearElement(element) || isFreeDrawElement(element)) {
- let [x1, y1, x2, y2] = getElementAbsoluteCoords(element);
-
- x1 = Math.floor(x1);
- x2 = Math.ceil(x2);
- y1 = Math.floor(y1);
- y2 = Math.ceil(y2);
-
- canvas.width =
- distance(x1, x2) * window.devicePixelRatio * zoom.value +
- padding * zoom.value * 2;
- canvas.height =
- distance(y1, y2) * window.devicePixelRatio * zoom.value +
- padding * zoom.value * 2;
-
- canvasOffsetX =
- element.x > x1
- ? Math.floor(distance(element.x, x1)) *
- window.devicePixelRatio *
- zoom.value
- : 0;
-
- canvasOffsetY =
- element.y > y1
- ? Math.floor(distance(element.y, y1)) *
- window.devicePixelRatio *
- zoom.value
- : 0;
-
- context.translate(canvasOffsetX, canvasOffsetY);
- } else {
- canvas.width =
- element.width * window.devicePixelRatio * zoom.value +
- padding * zoom.value * 2;
- canvas.height =
- element.height * window.devicePixelRatio * zoom.value +
- padding * zoom.value * 2;
- }
-
- context.translate(padding * zoom.value, padding * zoom.value);
-
- context.scale(
- window.devicePixelRatio * zoom.value,
- window.devicePixelRatio * zoom.value,
- );
-
- const rc = rough.canvas(canvas);
-
- drawElementOnCanvas(element, rc, context);
-
- context.translate(-(padding * zoom.value), -(padding * zoom.value));
- context.scale(
- 1 / (window.devicePixelRatio * zoom.value),
- 1 / (window.devicePixelRatio * zoom.value),
- );
- return {
- element,
- canvas,
- canvasZoom: zoom.value,
- canvasOffsetX,
- canvasOffsetY,
- };
- };
-
- const drawElementOnCanvas = (
- element: NonDeletedExcalidrawElement,
- rc: RoughCanvas,
- context: CanvasRenderingContext2D,
- ) => {
- context.globalAlpha = element.opacity / 100;
- switch (element.type) {
- case "rectangle":
- case "diamond":
- case "ellipse": {
- context.lineJoin = "round";
- context.lineCap = "round";
- rc.draw(getShapeForElement(element) as Drawable);
- break;
- }
- case "arrow":
- case "draw":
- case "line": {
- context.lineJoin = "round";
- context.lineCap = "round";
-
- (getShapeForElement(element) as Drawable[]).forEach((shape) => {
- rc.draw(shape);
- });
- break;
- }
- case "freedraw": {
- // Draw directly to canvas
- context.save();
- context.fillStyle = element.strokeColor;
-
- const path = getFreeDrawPath2D(element) as Path2D;
-
- context.fillStyle = element.strokeColor;
- context.fill(path);
-
- context.restore();
- break;
- }
- default: {
- if (isTextElement(element)) {
- const rtl = isRTL(element.text);
- const shouldTemporarilyAttach = rtl && !context.canvas.isConnected;
- if (shouldTemporarilyAttach) {
- // to correctly render RTL text mixed with LTR, we have to append it
- // to the DOM
- document.body.appendChild(context.canvas);
- }
- context.canvas.setAttribute("dir", rtl ? "rtl" : "ltr");
- const font = context.font;
- context.font = getFontString(element);
- const fillStyle = context.fillStyle;
- context.fillStyle = element.strokeColor;
- const textAlign = context.textAlign;
- context.textAlign = element.textAlign as CanvasTextAlign;
-
- // Canvas does not support multiline text by default
- const lines = element.text.replace(/\r\n?/g, "\n").split("\n");
- const lineHeight = element.height / lines.length;
- const verticalOffset = element.height - element.baseline;
- const horizontalOffset =
- element.textAlign === "center"
- ? element.width / 2
- : element.textAlign === "right"
- ? element.width
- : 0;
- for (let index = 0; index < lines.length; index++) {
- context.fillText(
- lines[index],
- horizontalOffset,
- (index + 1) * lineHeight - verticalOffset,
- );
- }
- context.fillStyle = fillStyle;
- context.font = font;
- context.textAlign = textAlign;
- if (shouldTemporarilyAttach) {
- context.canvas.remove();
- }
- } else {
- throw new Error(`Unimplemented type ${element.type}`);
- }
- }
- }
- context.globalAlpha = 1;
- };
-
- const elementWithCanvasCache = new WeakMap<
- ExcalidrawElement,
- ExcalidrawElementWithCanvas
- >();
-
- const shapeCache = new WeakMap<
- ExcalidrawElement,
- Drawable | Drawable[] | null
- >();
-
- export const getShapeForElement = (element: ExcalidrawElement) =>
- shapeCache.get(element);
-
- export const invalidateShapeForElement = (element: ExcalidrawElement) =>
- shapeCache.delete(element);
-
- export const generateRoughOptions = (element: ExcalidrawElement): Options => {
- const options: Options = {
- seed: element.seed,
- strokeLineDash:
- element.strokeStyle === "dashed"
- ? getDashArrayDashed(element.strokeWidth)
- : element.strokeStyle === "dotted"
- ? getDashArrayDotted(element.strokeWidth)
- : undefined,
- // for non-solid strokes, disable multiStroke because it tends to make
- // dashes/dots overlay each other
- disableMultiStroke: element.strokeStyle !== "solid",
- // for non-solid strokes, increase the width a bit to make it visually
- // similar to solid strokes, because we're also disabling multiStroke
- strokeWidth:
- element.strokeStyle !== "solid"
- ? element.strokeWidth + 0.5
- : element.strokeWidth,
- // when increasing strokeWidth, we must explicitly set fillWeight and
- // hachureGap because if not specified, roughjs uses strokeWidth to
- // calculate them (and we don't want the fills to be modified)
- fillWeight: element.strokeWidth / 2,
- hachureGap: element.strokeWidth * 4,
- roughness: element.roughness,
- stroke: element.strokeColor,
- };
-
- switch (element.type) {
- case "rectangle":
- case "diamond":
- case "ellipse": {
- options.fillStyle = element.fillStyle;
- options.fill =
- element.backgroundColor === "transparent"
- ? undefined
- : element.backgroundColor;
- if (element.type === "ellipse") {
- options.curveFitting = 1;
- }
- return options;
- }
- case "draw":
- case "line": {
- if (isPathALoop(element.points)) {
- options.fillStyle = element.fillStyle;
- options.fill =
- element.backgroundColor === "transparent"
- ? undefined
- : element.backgroundColor;
- }
- return options;
- }
- case "freedraw":
- case "arrow":
- return options;
- default: {
- throw new Error(`Unimplemented type ${element.type}`);
- }
- }
- };
-
- /**
- * Generates the element's shape and puts it into the cache.
- * @param element
- * @param generator
- */
- const generateElementShape = (
- element: NonDeletedExcalidrawElement,
- generator: RoughGenerator,
- ) => {
- let shape = shapeCache.get(element) || null;
-
- if (!shape) {
- elementWithCanvasCache.delete(element);
-
- switch (element.type) {
- case "rectangle":
- if (element.strokeSharpness === "round") {
- const w = element.width;
- const h = element.height;
- const r = Math.min(w, h) * 0.25;
- shape = generator.path(
- `M ${r} 0 L ${w - r} 0 Q ${w} 0, ${w} ${r} L ${w} ${
- h - r
- } Q ${w} ${h}, ${w - r} ${h} L ${r} ${h} Q 0 ${h}, 0 ${
- h - r
- } L 0 ${r} Q 0 0, ${r} 0`,
- generateRoughOptions(element),
- );
- } else {
- shape = generator.rectangle(
- 0,
- 0,
- element.width,
- element.height,
- generateRoughOptions(element),
- );
- }
- break;
- case "diamond": {
- const [
- topX,
- topY,
- rightX,
- rightY,
- bottomX,
- bottomY,
- leftX,
- leftY,
- ] = getDiamondPoints(element);
- shape = generator.polygon(
- [
- [topX, topY],
- [rightX, rightY],
- [bottomX, bottomY],
- [leftX, leftY],
- ],
- generateRoughOptions(element),
- );
- break;
- }
- case "ellipse":
- shape = generator.ellipse(
- element.width / 2,
- element.height / 2,
- element.width,
- element.height,
- generateRoughOptions(element),
- );
- break;
- case "draw":
- case "line":
- case "arrow": {
- const options = generateRoughOptions(element);
-
- // points array can be empty in the beginning, so it is important to add
- // initial position to it
- const points = element.points.length ? element.points : [[0, 0]];
-
- // curve is always the first element
- // this simplifies finding the curve for an element
- if (element.strokeSharpness === "sharp") {
- if (options.fill) {
- shape = [generator.polygon(points as [number, number][], options)];
- } else {
- shape = [
- generator.linearPath(points as [number, number][], options),
- ];
- }
- } else {
- shape = [generator.curve(points as [number, number][], options)];
- }
-
- // add lines only in arrow
- if (element.type === "arrow") {
- const { startArrowhead = null, endArrowhead = "arrow" } = element;
-
- const getArrowheadShapes = (
- element: ExcalidrawLinearElement,
- shape: Drawable[],
- position: "start" | "end",
- arrowhead: Arrowhead,
- ) => {
- const arrowheadPoints = getArrowheadPoints(
- element,
- shape,
- position,
- arrowhead,
- );
-
- if (arrowheadPoints === null) {
- return [];
- }
-
- // Other arrowheads here...
- if (arrowhead === "dot") {
- const [x, y, r] = arrowheadPoints;
-
- return [
- generator.circle(x, y, r, {
- ...options,
- fill: element.strokeColor,
- fillStyle: "solid",
- stroke: "none",
- }),
- ];
- }
-
- // Arrow arrowheads
- const [x2, y2, x3, y3, x4, y4] = arrowheadPoints;
-
- if (element.strokeStyle === "dotted") {
- // for dotted arrows caps, reduce gap to make it more legible
- const dash = getDashArrayDotted(element.strokeWidth - 1);
- options.strokeLineDash = [dash[0], dash[1] - 1];
- } else {
- // for solid/dashed, keep solid arrow cap
- delete options.strokeLineDash;
- }
- return [
- generator.line(x3, y3, x2, y2, options),
- generator.line(x4, y4, x2, y2, options),
- ];
- };
-
- if (startArrowhead !== null) {
- const shapes = getArrowheadShapes(
- element,
- shape,
- "start",
- startArrowhead,
- );
- shape.push(...shapes);
- }
-
- if (endArrowhead !== null) {
- if (endArrowhead === undefined) {
- // Hey, we have an old arrow here!
- }
-
- const shapes = getArrowheadShapes(
- element,
- shape,
- "end",
- endArrowhead,
- );
- shape.push(...shapes);
- }
- }
-
- break;
- }
- case "freedraw": {
- generateFreeDrawShape(element);
- shape = [];
- break;
- }
- case "text": {
- // just to ensure we don't regenerate element.canvas on rerenders
- shape = [];
- break;
- }
- }
- shapeCache.set(element, shape);
- }
- };
-
- const generateElementWithCanvas = (
- element: NonDeletedExcalidrawElement,
- sceneState?: SceneState,
- ) => {
- const zoom: Zoom = sceneState ? sceneState.zoom : defaultAppState.zoom;
- const prevElementWithCanvas = elementWithCanvasCache.get(element);
- const shouldRegenerateBecauseZoom =
- prevElementWithCanvas &&
- prevElementWithCanvas.canvasZoom !== zoom.value &&
- !sceneState?.shouldCacheIgnoreZoom;
- if (!prevElementWithCanvas || shouldRegenerateBecauseZoom) {
- const elementWithCanvas = generateElementCanvas(element, zoom);
-
- elementWithCanvasCache.set(element, elementWithCanvas);
-
- return elementWithCanvas;
- }
- return prevElementWithCanvas;
- };
-
- const drawElementFromCanvas = (
- elementWithCanvas: ExcalidrawElementWithCanvas,
- rc: RoughCanvas,
- context: CanvasRenderingContext2D,
- sceneState: SceneState,
- ) => {
- const element = elementWithCanvas.element;
- const padding = getCanvasPadding(element);
- let [x1, y1, x2, y2] = getElementAbsoluteCoords(element);
-
- // Free draw elements will otherwise "shuffle" as the min x and y change
- if (isFreeDrawElement(element)) {
- x1 = Math.floor(x1);
- x2 = Math.ceil(x2);
- y1 = Math.floor(y1);
- y2 = Math.ceil(y2);
- }
-
- const cx = ((x1 + x2) / 2 + sceneState.scrollX) * window.devicePixelRatio;
- const cy = ((y1 + y2) / 2 + sceneState.scrollY) * window.devicePixelRatio;
- context.scale(1 / window.devicePixelRatio, 1 / window.devicePixelRatio);
- context.translate(cx, cy);
- context.rotate(element.angle);
-
- context.drawImage(
- elementWithCanvas.canvas!,
- (-(x2 - x1) / 2) * window.devicePixelRatio -
- (padding * elementWithCanvas.canvasZoom) / elementWithCanvas.canvasZoom,
- (-(y2 - y1) / 2) * window.devicePixelRatio -
- (padding * elementWithCanvas.canvasZoom) / elementWithCanvas.canvasZoom,
- elementWithCanvas.canvas!.width / elementWithCanvas.canvasZoom,
- elementWithCanvas.canvas!.height / elementWithCanvas.canvasZoom,
- );
- context.rotate(-element.angle);
- context.translate(-cx, -cy);
- context.scale(window.devicePixelRatio, window.devicePixelRatio);
-
- // Clear the nested element we appended to the DOM
- };
-
- export const renderElement = (
- element: NonDeletedExcalidrawElement,
- rc: RoughCanvas,
- context: CanvasRenderingContext2D,
- renderOptimizations: boolean,
- sceneState: SceneState,
- ) => {
- const generator = rc.generator;
- switch (element.type) {
- case "selection": {
- context.translate(
- element.x + sceneState.scrollX,
- element.y + sceneState.scrollY,
- );
- const fillStyle = context.fillStyle;
- context.fillStyle = "rgba(0, 0, 255, 0.10)";
- context.fillRect(0, 0, element.width, element.height);
- context.fillStyle = fillStyle;
- context.translate(
- -element.x - sceneState.scrollX,
- -element.y - sceneState.scrollY,
- );
- break;
- }
- case "freedraw": {
- generateElementShape(element, generator);
-
- if (renderOptimizations) {
- const elementWithCanvas = generateElementWithCanvas(
- element,
- sceneState,
- );
- drawElementFromCanvas(elementWithCanvas, rc, context, sceneState);
- } else {
- const [x1, y1, x2, y2] = getElementAbsoluteCoords(element);
- const cx = (x1 + x2) / 2 + sceneState.scrollX;
- const cy = (y1 + y2) / 2 + sceneState.scrollY;
- const shiftX = (x2 - x1) / 2 - (element.x - x1);
- const shiftY = (y2 - y1) / 2 - (element.y - y1);
- context.translate(cx, cy);
- context.rotate(element.angle);
- context.translate(-shiftX, -shiftY);
- drawElementOnCanvas(element, rc, context);
- context.translate(shiftX, shiftY);
- context.rotate(-element.angle);
- context.translate(-cx, -cy);
- }
-
- break;
- }
- case "rectangle":
- case "diamond":
- case "ellipse":
- case "draw":
- case "line":
- case "arrow":
- case "text": {
- generateElementShape(element, generator);
- if (renderOptimizations) {
- const elementWithCanvas = generateElementWithCanvas(
- element,
- sceneState,
- );
- drawElementFromCanvas(elementWithCanvas, rc, context, sceneState);
- } else {
- const [x1, y1, x2, y2] = getElementAbsoluteCoords(element);
- const cx = (x1 + x2) / 2 + sceneState.scrollX;
- const cy = (y1 + y2) / 2 + sceneState.scrollY;
- const shiftX = (x2 - x1) / 2 - (element.x - x1);
- const shiftY = (y2 - y1) / 2 - (element.y - y1);
- context.translate(cx, cy);
- context.rotate(element.angle);
- context.translate(-shiftX, -shiftY);
- drawElementOnCanvas(element, rc, context);
- context.translate(shiftX, shiftY);
- context.rotate(-element.angle);
- context.translate(-cx, -cy);
- }
- break;
- }
- default: {
- // @ts-ignore
- throw new Error(`Unimplemented type ${element.type}`);
- }
- }
- };
-
- export const renderElementToSvg = (
- element: NonDeletedExcalidrawElement,
- rsvg: RoughSVG,
- svgRoot: SVGElement,
- offsetX?: number,
- offsetY?: number,
- ) => {
- const [x1, y1, x2, y2] = getElementAbsoluteCoords(element);
- const cx = (x2 - x1) / 2 - (element.x - x1);
- const cy = (y2 - y1) / 2 - (element.y - y1);
- const degree = (180 * element.angle) / Math.PI;
- const generator = rsvg.generator;
- switch (element.type) {
- case "selection": {
- // Since this is used only during editing experience, which is canvas based,
- // this should not happen
- throw new Error("Selection rendering is not supported for SVG");
- }
- case "rectangle":
- case "diamond":
- case "ellipse": {
- generateElementShape(element, generator);
- const node = rsvg.draw(getShapeForElement(element) as Drawable);
- const opacity = element.opacity / 100;
- if (opacity !== 1) {
- node.setAttribute("stroke-opacity", `${opacity}`);
- node.setAttribute("fill-opacity", `${opacity}`);
- }
- node.setAttribute("stroke-linecap", "round");
- node.setAttribute(
- "transform",
- `translate(${offsetX || 0} ${
- offsetY || 0
- }) rotate(${degree} ${cx} ${cy})`,
- );
- svgRoot.appendChild(node);
- break;
- }
- case "draw":
- case "line":
- case "arrow": {
- generateElementShape(element, generator);
- const group = svgRoot.ownerDocument!.createElementNS(SVG_NS, "g");
- const opacity = element.opacity / 100;
- group.setAttribute("stroke-linecap", "round");
-
- (getShapeForElement(element) as Drawable[]).forEach((shape) => {
- const node = rsvg.draw(shape);
- if (opacity !== 1) {
- node.setAttribute("stroke-opacity", `${opacity}`);
- node.setAttribute("fill-opacity", `${opacity}`);
- }
- node.setAttribute(
- "transform",
- `translate(${offsetX || 0} ${
- offsetY || 0
- }) rotate(${degree} ${cx} ${cy})`,
- );
- if (
- element.type === "line" &&
- isPathALoop(element.points) &&
- element.backgroundColor !== "transparent"
- ) {
- node.setAttribute("fill-rule", "evenodd");
- }
- group.appendChild(node);
- });
- svgRoot.appendChild(group);
- break;
- }
- case "freedraw": {
- generateFreeDrawShape(element);
- const opacity = element.opacity / 100;
- const node = svgRoot.ownerDocument!.createElementNS(SVG_NS, "g");
- if (opacity !== 1) {
- node.setAttribute("stroke-opacity", `${opacity}`);
- node.setAttribute("fill-opacity", `${opacity}`);
- }
- node.setAttribute(
- "transform",
- `translate(${offsetX || 0} ${
- offsetY || 0
- }) rotate(${degree} ${cx} ${cy})`,
- );
- const path = svgRoot.ownerDocument!.createElementNS(SVG_NS, "path");
- node.setAttribute("stroke", "none");
- node.setAttribute("fill", element.strokeStyle);
- path.setAttribute("d", getFreeDrawSvgPath(element));
- node.appendChild(path);
- svgRoot.appendChild(node);
- break;
- }
- default: {
- if (isTextElement(element)) {
- const opacity = element.opacity / 100;
- const node = svgRoot.ownerDocument!.createElementNS(SVG_NS, "g");
- if (opacity !== 1) {
- node.setAttribute("stroke-opacity", `${opacity}`);
- node.setAttribute("fill-opacity", `${opacity}`);
- }
- node.setAttribute(
- "transform",
- `translate(${offsetX || 0} ${
- offsetY || 0
- }) rotate(${degree} ${cx} ${cy})`,
- );
- const lines = element.text.replace(/\r\n?/g, "\n").split("\n");
- const lineHeight = element.height / lines.length;
- const verticalOffset = element.height - element.baseline;
- const horizontalOffset =
- element.textAlign === "center"
- ? element.width / 2
- : element.textAlign === "right"
- ? element.width
- : 0;
- const direction = isRTL(element.text) ? "rtl" : "ltr";
- const textAnchor =
- element.textAlign === "center"
- ? "middle"
- : element.textAlign === "right" || direction === "rtl"
- ? "end"
- : "start";
- for (let i = 0; i < lines.length; i++) {
- const text = svgRoot.ownerDocument!.createElementNS(SVG_NS, "text");
- text.textContent = lines[i];
- text.setAttribute("x", `${horizontalOffset}`);
- text.setAttribute("y", `${(i + 1) * lineHeight - verticalOffset}`);
- text.setAttribute("font-family", getFontFamilyString(element));
- text.setAttribute("font-size", `${element.fontSize}px`);
- text.setAttribute("fill", element.strokeColor);
- text.setAttribute("text-anchor", textAnchor);
- text.setAttribute("style", "white-space: pre;");
- text.setAttribute("direction", direction);
- node.appendChild(text);
- }
- svgRoot.appendChild(node);
- } else {
- // @ts-ignore
- throw new Error(`Unimplemented type ${element.type}`);
- }
- }
- }
- };
-
- export const pathsCache = new WeakMap<ExcalidrawFreeDrawElement, Path2D>([]);
-
- export function generateFreeDrawShape(element: ExcalidrawFreeDrawElement) {
- const svgPathData = getFreeDrawSvgPath(element);
- const path = new Path2D(svgPathData);
- pathsCache.set(element, path);
- return path;
- }
-
- export function getFreeDrawPath2D(element: ExcalidrawFreeDrawElement) {
- return pathsCache.get(element);
- }
-
- export function getFreeDrawSvgPath(element: ExcalidrawFreeDrawElement) {
- const inputPoints = element.simulatePressure
- ? element.points
- : element.points.length
- ? element.points.map(([x, y], i) => [x, y, element.pressures[i]])
- : [[0, 0, 0]];
-
- // Consider changing the options for simulated pressure vs real pressure
- const options = {
- simulatePressure: element.simulatePressure,
- size: element.strokeWidth * 6,
- thinning: 0.5,
- smoothing: 0.5,
- streamline: 0.5,
- easing: (t: number) => t * (2 - t),
- last: true,
- };
-
- const points = getFreeDrawShape(inputPoints as number[][], options);
- const d: (string | number)[] = [];
-
- let [p0, p1] = points;
-
- d.push("M", p0[0], p0[1], "Q");
-
- for (let i = 0; i < points.length; i++) {
- d.push(p0[0], p0[1], (p0[0] + p1[0]) / 2, (p0[1] + p1[1]) / 2);
- p0 = p1;
- p1 = points[i];
- }
-
- p1 = points[0];
- d.push(p0[0], p0[1], (p0[0] + p1[0]) / 2, (p0[1] + p1[1]) / 2);
-
- d.push("Z");
-
- return d.join(" ");
- }
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