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License: MIT License
import React from 'react';
const a = {
left: 50, top: 50,
width: 200, height: 100,
angle: 45
};
const b = {
left: 100, top: 200,
width: 200, height: 100,
angle: 45
};
console.log(isRectCollision(a, b));
export default function App() {
return (
<div style={{width: 500, height: 500, margin: '100px auto', background: '#eee', position: 'relative'}}>
<div style={{ width: a.width, height: a.height, position: 'absolute', left: a.left, top: a.top, border: '1px solid red', transform: `rotate(${a.angle}deg)` }} />
<div style={{ width: b.width, height: b.height, position: 'absolute', left: b.left, top: b.top, border: '1px solid green', transform: `rotate(${b.angle}deg)`}} />
</div>
);
}
function isRectCollision(a, b) {
// 绕原点逆时针旋转后的点坐标
// 默认绕原点旋转
const rotate = ({ x, y }, deg, origin = { x: 0, y: 0 }) => ({
x: (x - origin.x) * Math.cos(deg) + (y - origin.y) * Math.sin(deg) + origin.x,
y: (origin.x - x) * Math.sin(deg) + (y - origin.y) * Math.cos(deg) + origin.y
});
const toDeg = (angle) => angle / 180 * Math.PI;
const getCenterPoint = (box) => ({
x: box.left + box.width / 2,
y: box.top + box.height / 2
});
/**
* 转化为顶点坐标数组
* @param {Object} box
*/
function toRect (box) {
let deg = toDeg(box.angle)
let cp = getCenterPoint(box)
return [rotate({
x: box.left,
y: box.top
}, deg, cp), rotate({
x: box.left + box.width,
y: box.top,
}, deg, cp), rotate({
x: box.left + box.width,
y: box.top + box.height,
}, deg, cp), rotate({
x: box.left,
y: box.top + box.height
}, deg, cp)]
}
/**
* 计算投影半径
* @param {Array(Number)} checkAxis 检测轴 [cosθ,sinθ]
* @param {Array} axis 目标轴 [x,y]
*/
function getProjectionRadius (checkAxis, axis) {
return Math.abs(axis[0] * checkAxis[0] + axis[1] * checkAxis[1])
}
/**
* 判断是否碰撞
* @param {Array} rect1 矩形顶点坐标数组 [Pa,Pb,Pc,Pd]
* @param {*} rect2
*/
function isCollision (box1, box2) {
let rect1 = toRect(box1)
let rect2 = toRect(box2)
const vector = (start, end) => {
return [end.x - start.x, end.y - start.y]
}
// 两个矩形的中心点
const p1 = getCenterPoint(box1)
const p2 = getCenterPoint(box2)
//向量 p1p2
const vp1p2 = vector(p1, p2)
//矩形1的两边向量
let AB = vector(rect1[0], rect1[1])
let BC = vector(rect1[1], rect1[2])
//矩形2的两边向量
let A1B1 = vector(rect2[0], rect2[1])
let B1C1 = vector(rect2[1], rect2[2])
// 矩形1 的两个弧度
let deg11 = toDeg(box1.angle)
let deg12 = toDeg(90 - box1.angle)
// 矩形2 的两个弧度
let deg21 = toDeg(box2.angle)
let deg22 = toDeg(90 - box2.angle)
// 投影重叠
const isCover = (checkAxisRadius, deg, targetAxis1, targetAxis2) => {
let checkAxis = [Math.cos(deg), Math.sin(deg)]
let targetAxisRadius = (getProjectionRadius(checkAxis, targetAxis1) + getProjectionRadius(checkAxis, targetAxis2)) / 2
let centerPointRadius = getProjectionRadius(checkAxis, vp1p2)
console.log(`checkAxis:${checkAxis},三个投影:${checkAxisRadius}, ${targetAxisRadius}, ${centerPointRadius}`)
return checkAxisRadius + targetAxisRadius > centerPointRadius
};
return isCover(box1.width / 2, deg11, A1B1, B1C1) &&
isCover(box1.height / 2, deg12, A1B1, B1C1) &&
isCover(box2.width / 2, deg21, AB, BC) &&
isCover(box2.height / 2, deg22, AB, BC)
}
// (function main () {
// let box1 = {
// left: 0,
// top: 0,
// width: 100,
// height: 100,
// angle: 30
// }
// let box2 = {
// left: 100,
// top: 0,
// width: 100,
// height: 100,
// angle: 0
// }
// return isCollision(box1, box2)
// })()
return isCollision(a,b);
}
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