AIWROK软件生成椭圆曲线手势
<table cellspacing="0" cellpadding="0" style="table-layout: fixed; width: 979px; font-size: 12px;"><tbody><tr><td class="t_f" id="postmessage_356" style="font-size: 14px; line-height: 24px;"><div align="left"><ignore_js_op> </ignore_js_op><ignore_js_op> </ignore_js_op><ignore_js_op></ignore_js_op><br></div><div align="left">这段代码定义了一些用于生成和执行贝塞尔曲线手势的函数。具体来说，代码分为以下几个部分：</div><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">随机数生成函数: 这个函数 random(a, b) 使用 rand.randNumber(a, b) 来生成一个在 a 到 b 之间的随机数。不过，在完整的代码中，rand.randNumber 需要是一个已定义的函数或库方法。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">椭圆曲线点生成器: 函数 generateEllipticPoints(a, b, xStart, xEnd, step) 用于根据椭圆曲线的参数 a 和 b，在指定的 x 范围内生成一系列的点。这些点的 x 坐标从 xStart 开始，逐步增加 step，直到 xEnd。对于每个 x 坐标，根据椭圆曲线方程 y^2 = x^3 + ax + b 计算出对应的 y 值，并将这些点存储在数组 points 中。注意，这里的 y 值是通过取平方根得到的正值，实际上椭圆曲线上的每个 x 坐标对应两个 y 值（正负），但这段代码只添加了正值。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">将椭圆曲线点转换为屏幕坐标: 函数 mapToScreen(points, screenWidth, screenHeight, scale) 将生成的椭圆曲线上的点转换为实际屏幕上的坐标。这里假设屏幕中心点是 (screenWidth / 2, screenHeight / 2)，然后通过 scale 参数来调整点的位置，使其适应屏幕大小。Y轴的方向在屏幕坐标系中是相反的，因此 y 坐标需要反转。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">贝塞尔曲线计算: 函数 calculateBezier(t, point2Fs) 实现了贝塞尔曲线的计算。t 是一个时间参数，范围从 0 到 1。point2Fs 是控制点数组，表示贝塞尔曲线的关键点。通过迭代和插值计算，这个函数会根据 t 的值计算出曲线上的一个点，并返回这个点的坐标。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">执行贝塞尔手势: 函数 bezier(time_ms, t, pt) 负责创建和执行一个贝塞尔曲线手势。首先创建一个手势对象 gesture1，并设置开始时的延时。然后根据时间参数 t 和控制点数组 pt 计算贝塞尔曲线上的多个点，并将这些点添加到手势对象中。最后，设置手势的完成时间并执行该手势。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">执行手势的示例: 函数 demonstrateEllipticGesture() 是一个完整的示例，展示了如何生成椭圆曲线上的点，将这些点映射到屏幕坐标，添加随机扰动使其更自然，并选择部分点作为贝塞尔曲线的关键控制点，最后执行手势。在这个示例中，椭圆曲线的参数 a 和 b 被设置为 -3 和 2，x 范围是从 -2 到 2，步长是 0.1。假设屏幕分辨率为 1080x1920，缩放因子 scale 设置为 200。手势的执行时间设置为 3000 毫秒，间隔系数 t 设置为 0.005。<br></li></ul><div align="left">请注意，代码中的一些对象和方法（如 path, gesture1.setStarTime, gesture1.addPoint, gesture1.setDurTime, auto.dispatchGesture 等）是假设存在的，可能需要根据实际使用的库或框架进行调整。</div><div class="blockcode" style="overflow: hidden; padding-right: 0px; padding-bottom: 5px; padding-left: 10px; background-image: linear-gradient(90deg, rgb(237, 237, 237), rgb(237, 237, 237)); background-size: 43px; color: rgb(102, 102, 102); zoom: 1;"><div id="code_Knx"><ol style="margin-left: 10px !important;"><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">// 随机数生成函数<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">function random(a, b) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> return rand.randNumber(a, b);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">}<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"><br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">/**<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* 椭圆曲线点生成器<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} a - 曲线参数a<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} b - 曲线参数b<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} xStart - x起始值<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} xEnd - x结束值<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} step - 步长<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @returns {Array} 控制点数组<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">*/<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">function generateEllipticPoints(a, b, xStart, xEnd, step) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var points = [];<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> for (var x = xStart; x <= xEnd; x += step) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> // 计算 y^2 = x^3 + ax + b<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var ySquared = x * x * x + a * x + b;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> if (ySquared >= 0) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var y = Math.sqrt(ySquared);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> // 添加正值点<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> points.push();<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> }<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> }<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> return points;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">}<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"><br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">/**<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* 将椭圆曲线点转换为屏幕坐标<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {Array} points - 椭圆曲线上的点<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} screenWidth - 屏幕宽度<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} screenHeight - 屏幕高度<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} scale - 缩放因子<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @returns {Array} 屏幕坐标点数组<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">*/<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">function mapToScreen(points, screenWidth, screenHeight, scale) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var screenPoints = [];<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var centerX = screenWidth / 2;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var centerY = screenHeight / 2;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> <br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> for (var i = 0; i < points.length; i++) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var x = centerX + points * scale;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var y = centerY - points * scale; // 反转Y轴方向<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> screenPoints.push();<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> }<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> return screenPoints;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">}<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"><br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">/**<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* 贝塞尔曲线计算<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} t - 时间参数 (0-1)<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {Array} point2Fs - 控制点数组<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @returns {Array} 计算得到的点坐标<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">*/<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">function calculateBezier(t, point2Fs) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var len = point2Fs.length;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> for (var i = len - 1; i > 0; i--) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> for (var j = 0; j < i; j++) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> point2Fs = point2Fs + (point2Fs - point2Fs) * t;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> point2Fs = point2Fs + (point2Fs - point2Fs) * t;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> }<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> }<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> return ), parseInt(point2Fs)];<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">}<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"><br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">/**<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* 执行贝塞尔手势<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} time_ms - 执行时间(毫秒)<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {number} t - 间隔系数(0-1)<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">* @param {Array} pt - 控制点数组<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">*/<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">function bezier(time_ms, t, pt) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var gesture1 = new path(); // 创建手势对象<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> gesture1.setStarTime(10); // 开始前延时<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> <br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var fps = 1 / t;<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> for (var i = 0; i <= fps; i++) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var copyArr = pt.map(function(row) { return row.slice(); }); // ES5兼容的数组拷贝<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var xy = calculateBezier(i * t, copyArr);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> gesture1.addPoint(xy, xy);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> }<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> <br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> gesture1.setDurTime(time_ms); // 完成时间<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> auto.dispatchGesture(); // 执行手势<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">}<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"><br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">// 示例：生成并执行椭圆曲线手势<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">function demonstrateEllipticGesture() {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> // 生成椭圆曲线点<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var a = -3; // 曲线参数<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var b = 2; // 曲线参数<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var points = generateEllipticPoints(a, b, -2, 2, 0.1);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> <br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> // 将点映射到屏幕坐标（假设屏幕分辨率为1080x1920）<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var screenPoints = mapToScreen(points, 1080, 1920, 200);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> <br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> // 添加一些随机扰动使轨迹更自然<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var controlPoints = screenPoints.map(function(point) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> return [<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> point + random(-10, 10),<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> point + random(-10, 10)<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> ];<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> });<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> <br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> // 选择关键控制点（为了减少计算量，我们只选择部分点）<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> var keyPoints = [];<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> for (var i = 0; i < controlPoints.length; i += Math.floor(controlPoints.length / 4)) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> keyPoints.push(controlPoints);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> }<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> <br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> // 确保至少有4个控制点<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> while (keyPoints.length < 4) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> keyPoints.push(controlPoints);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> }<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> <br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> // 执行手势<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> bezier(3000, 0.005, keyPoints);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">}<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"><br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">// 使用示例<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">try {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> printl("开始生成椭圆曲线手势...");<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> demonstrateEllipticGesture();<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> printl("手势执行完成");<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">} catch (e) {<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;"> printl("执行出错: " + e.message);<br></li><li style="padding-left: 10px; list-style-type: decimal-leading-zero; font-family: Monaco, Consolas, "Lucida Console", "Courier New", serif; font-size: 12px; line-height: 1.8em;">}</li></ol></div><span style="color: rgb(255, 255, 255); margin-left: 43px; font-size: 12px; cursor: pointer; user-select: none; display: inline-block; margin-top: 8px; padding: 2px 8px; background: rgb(153, 153, 169); border-radius: 4px;">复制代码</span></div><br><div align="left">这段代码定义了一些用于生成和执行贝塞尔曲线手势的函数。具体来说，代码分为以下几个部分：</div><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">随机数生成函数: 这个函数 random(a, b) 使用 rand.randNumber(a, b) 来生成一个在 a 到 b 之间的随机数。不过，在完整的代码中，rand.randNumber 需要是一个已定义的函数或库方法。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">椭圆曲线点生成器: 函数 generateEllipticPoints(a, b, xStart, xEnd, step) 用于根据椭圆曲线的参数 a 和 b，在指定的 x 范围内生成一系列的点。这些点的 x 坐标从 xStart 开始，逐步增加 step，直到 xEnd。对于每个 x 坐标，根据椭圆曲线方程 y^2 = x^3 + ax + b 计算出对应的 y 值，并将这些点存储在数组 points 中。注意，这里的 y 值是通过取平方根得到的正值，实际上椭圆曲线上的每个 x 坐标对应两个 y 值（正负），但这段代码只添加了正值。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">将椭圆曲线点转换为屏幕坐标: 函数 mapToScreen(points, screenWidth, screenHeight, scale) 将生成的椭圆曲线上的点转换为实际屏幕上的坐标。这里假设屏幕中心点是 (screenWidth / 2, screenHeight / 2)，然后通过 scale 参数来调整点的位置，使其适应屏幕大小。Y轴的方向在屏幕坐标系中是相反的，因此 y 坐标需要反转。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">贝塞尔曲线计算: 函数 calculateBezier(t, point2Fs) 实现了贝塞尔曲线的计算。t 是一个时间参数，范围从 0 到 1。point2Fs 是控制点数组，表示贝塞尔曲线的关键点。通过迭代和插值计算，这个函数会根据 t 的值计算出曲线上的一个点，并返回这个点的坐标。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">执行贝塞尔手势: 函数 bezier(time_ms, t, pt) 负责创建和执行一个贝塞尔曲线手势。首先创建一个手势对象 gesture1，并设置开始时的延时。然后根据时间参数 t 和控制点数组 pt 计算贝塞尔曲线上的多个点，并将这些点添加到手势对象中。最后，设置手势的完成时间并执行该手势。<br></li></ul><ul type="1" class="litype_1" style="margin-left: 14px;"><li style="list-style-position: initial; list-style-image: initial;">执行手势的示例: 函数 demonstrateEllipticGesture() 是一个完整的示例，展示了如何生成椭圆曲线上的点，将这些点映射到屏幕坐标，添加随机扰动使其更自然，并选择部分点作为贝塞尔曲线的关键控制点，最后执行手势。在这个示例中，椭圆曲线的参数 a 和 b 被设置为 -3 和 2，x 范围是从 -2 到 2，步长是 0.1。假设屏幕分辨率为 1080x1920，缩放因子 scale 设置为 200。手势的执行时间设置为 3000 毫秒，间隔系数 t 设置为 0.005。<br></li></ul><div align="left">请注意，代码中的一些对象和方法（如 path, gesture1.setStarTime, gesture1.addPoint, gesture1.setDurTime, auto.dispatchGesture 等）是假设存在的，可能需要根据实际使用的库或框架进行调整。</div><br></td></tr></tbody></table><p></p>
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