起因是有一個項目，需要在同一個canvas中渲染一批幾何圖形，當(dāng)鼠標(biāo)移動到其中某一個圖形中，對這個形狀高亮處理?；緦崿F(xiàn)方式是監(jiān)聽mousemove事件，回調(diào)中傳入當(dāng)前鼠標(biāo)的位置，同時遍歷所有圖形，判斷點是否在這個形狀中，找到當(dāng)前選中的元素并重新渲染canvas。

const canvas = document.getElementById('my-canvas');
const ctx = canvas.getContext('2d');
canvas.addEventListener('mousemove', function(event) {
  const x = event.clientX - canvas.offsetLeft;
  const y = event.clientY - canvas.offsetTop;
  // Check each polygon to see if the mouse is inside
  for (let i = 0; i < polygons.length; i++) {
    const polygon = polygons[i];
    // Check if the mouse is inside the polygon
    if (isPointInside(polygon, x, y)) {
      console.log('Mouse is inside polygon ' + i);
      break;
    }
  }
});

當(dāng)圖形的量級持續(xù)上升，意味著JS邏輯執(zhí)行時間同步增加，鼠標(biāo)移動過快必然出現(xiàn)卡頓(低FPS)。

這個問題有很多優(yōu)化的角度：

降低鼠標(biāo)事件執(zhí)行的頻率，即節(jié)流；
分區(qū)判斷，減少需要遍歷的多邊形數(shù)量；
優(yōu)化判斷點是否在形狀中的邏輯 isPointInside()；

我初步實現(xiàn)的isPointInside()主要依賴幾何坐標(biāo)的計算，這里主要針對矩形、圓形、多邊形實現(xiàn)：

/**
 * 判斷點是否在形狀內(nèi)
 * @param shape
 * @param point
 * @param type
 * @returns
 */
export const isPointInside = (
  shape: IRect | ICircle | IPolygon,
  point: IPoint,
  type: EElementType,
): boolean => {
  if (!shape || !point) return false;
  switch (type) {
    case EElementType.Rect: {
      const rect = shape as IRect;
      return (
        rect.x <= point.x &&
        rect.x + rect.width >= point.x &&
        rect.y <= point.y &&
        rect.y + rect.height >= point.y
      );
    }
    case EElementType.Circle: {
      const circle = shape as ICircle;
      return (
        Math.sqrt(
          Math.pow(point.x - circle.x, 2) + Math.pow(point.y - circle.y, 2),
        ) <= circle.radius
      );
    }
    case EElementType.Polygon: {
      const polygon = shape as IPolygon;
      // 將多邊形劃分為若干個三角形
      for (let i = 1; i < polygon.length - 1; i++) {
        // 計算三角形的三個頂點和點 P 的叉積
        const cross1 = crossProduct(polygon[0], polygon[i], point);
        const cross2 = crossProduct(polygon[i], polygon[i + 1], point);
        const cross3 = crossProduct(polygon[i + 1], polygon[0], point);
        // 如果三個叉積的符號都相同，則說明點在三角形內(nèi)部
        if (cross1 * cross2 > 0 && cross1 * cross3 > 0) {
          return true;
        }
      }
      return false;
    }
    default:
      return false;
  }
};

但當(dāng)我把這個問題拋給ChatGpt時發(fā)現(xiàn)了另一種可能性：

const canvas = document.getElementById('my-canvas');
const ctx = canvas.getContext('2d');
canvas.addEventListener('mousemove', function(event) {
  const x = event.clientX - canvas.offsetLeft;
  const y = event.clientY - canvas.offsetTop;
  // Check each polygon to see if the mouse is inside
  for (let i = 0; i < polygons.length; i++) {
    const polygon = polygons[i];
    // Set the path and color of the polygon
    ctx.beginPath();
    ctx.moveTo(polygon.path[0].x, polygon.path[0].y);
    for (let j = 1; j < polygon.path.length; j++) {
      ctx.lineTo(polygon.path[j].x, polygon.path[j].y);
    }
    ctx.closePath();
    ctx.fillStyle = polygon.color;
    // Check if the mouse is inside the polygon
    if (ctx.isPointInPath(x, y)) {
      console.log('Mouse is inside polygon ' + i);
      break;
    }
  }
});

他推薦了Canvas內(nèi)置的API Context.isPointInPath(path，x，y)判斷一個點是否被一個路徑包圍。

MDN這樣介紹：developer.mozilla.org/zh-CN/docs/…

這個API此前我并未留意，當(dāng)我把自己的方法同時轉(zhuǎn)達時，ChatGpt這樣評價和對比兩種方法：

The internal APIisPointInPath() is likely to be faster than the custom implementation of isPointInside()that you have provided, as it is a built-in method of the canvas API optimized for detecting whether a point is inside a path.

isPointInPath() is optimized for performance and is likely to be faster than your implementation, which calculates the shape of the annotation and checks if the point is inside. However, the exact performance difference depends on the complexity of the shapes and the number of annotations you have on the canvas.

Therefore, it's recommended to use isPointInPath() for performance reasons, especially if you have a large number of annotations. You can create a path for each annotation, and then check if the mouse pointer is inside any of the paths using isPointInPath()

出于性能考慮內(nèi)置方法更好？為什么好？好到什么程度？

于是就有個接下來的實驗。

測試案例

const canvas = document.createElement('canvas');
document.body.appendChild(canvas);
const count = 1000;
const width = 1500;
const height = 1500;
canvas.width = width;
canvas.height = height;
const ctx = canvas.getContext('2d');
// Create random shapes
const shapes = [];
const createPathFromPoints = (points) => {
  const path = new Path3D();
  path.moveTo(points[0].x, points[0].y);
  for (let i = 1; i < points.length; i++) {
    path.lineTo(points[i].x, points[i].y);
  }
  path.closePath();
  return path;
};
const createCirclePathByPoint = (center, radius) => {
  const path = new Path3D();
  path.arc(center.x, center.y, radius, 0, 2 * Math.PI);
  path.closePath();
  return path;
};
for (let i = 0; i < count; i++) {
  const type = ['circle', 'rect', 'polygon'][Math.floor(Math.random() * 2)];
  let shape;
  let path;
  switch (type) {
    case 'rect': {
      shape = {
        x: Math.random() * canvas.width,
        y: Math.random() * canvas.height,
        width: Math.random() * 30,
        height: Math.random() * 30,
      };
      const { x, y, width, height } = shape;
      path = createPathFromPoints([{x, y}, {x: x + width, y: y}, {x: x + width, y: y + height}, {x, y: y + height}]);
      break;
    }
    case 'circle':
      shape = {
        x: Math.random() * canvas.width,
        y: Math.random() * canvas.height,
        radius: Math.random() * 20,
      };
      path = createCirclePathByPoint({ x: shape.x, y: shape.y }, shape.radius);
      break;
    case 'polygon':
      shape = [
        { x: Math.random() * canvas.width, y: Math.random() * canvas.height }
      ];
      for(let i = 1; i < Math.floor(Math.random() * 10); i++) {
        shape.push({ x: shape[i-1].x + Math.random() * 20, y: shape[i-1].y + Math.random() * 20 });
      }
      path = createPathFromPoints(shape);
      break;
  }
  shapes.push({ shape, type, path });
}
function renderAllShapes(shapes, selectedIndex) {
  shapes.forEach(({ shape, type}, index) => {
    ctx.fillStyle = randomColor();
    switch (type) {
      case 'rect':
        ctx.fillRect(shape.x, shape.y, shape.width, shape.height);
        break;
      case 'circle':
        ctx.beginPath();
        ctx.arc(shape.x, shape.y, shape.radius, 0, 2 * Math.PI);
        ctx.fill();
        break;
      case 'polygon':
        ctx.beginPath();
        ctx.moveTo(shape[0].x, shape[0].y);
        for (let i = 1; i < shape.length; i++) {
          ctx.lineTo(shape[i].x, shape[i].y);
        }
        ctx.closePath();
        ctx.fill();
        break;
    }
  })
}
renderAllShapes(shapes);
let customWin = 0;
let builtinWin = 0;
canvas.addEventListener('mousemove', (e) => {
  const point = { x: e.clientX - canvas.offsetLeft, y: e.clientY - canvas.offsetTop };
  // Method 1
  const start1 = performance.now();
  const result1 = shapes.findIndex(({ shape, type }) => {
    return isPointInside(shape, point, type);
  });
  const end1 = performance.now();
  // Method 2
  const start2 = performance.now();
  const result2 = shapes.findIndex(({ path }) => {
    return ctx.isPointInPath(path, point.x, point.y);
  })
  const end2 = performance.now();
  if ((end1 - start1) < (end2 - start2)) {
    customWin++;
  } else if ((end1 - start1) > (end2 - start2)) {
    builtinWin++;
  }
  renderAllShapes(shapes);
  console.log(result1, result2);
  console.log(end1 - start1, end2 - start2);
  console.log(customWin, builtinWin);
});

上述代碼canvas中隨機創(chuàng)建了count個形狀，分別使用兩種方法判斷鼠標(biāo)hover形狀，采用performance.now()毫秒級的記錄執(zhí)行時間。