canvas中的三角运动(5) —— 圆周运动和椭圆运动
<h2>一. 圆周运动</h2> <h3>1.1 思路分析:</h3> <p>圆的方程为:</p> <pre> <code class="language-javascript">// (x0, y0)为圆心位置;(x, y)为圆上的点 (x - x0) ^ 2 + (y - y0) ^ 2 = r ^ 2 cos(angle) ^ 2 + sin(angle) ^ 2 = 1</code></pre> <p>因此,综合以上两式,可得:</p> <ul> <li><strong>x = r * cos(angle) + x0</strong></li> <li><strong>y = r * sin(angle) + y0</strong></li> </ul> <p>因此,应用正弦函数计算y坐标,用余弦函数计算x坐标。</p> <h2>1.2 实例:</h2> <pre> <code class="language-javascript">// cancelRequestAnimFrame的兼容函数 window.cancelRequestAnimFrame = ( function() { return window.cancelAnimationFrame || window.webkitCancelRequestAnimationFrame || window.mozCancelRequestAnimationFrame || window.oCancelRequestAnimationFrame || window.msCancelRequestAnimationFrame || clearTimeout; } )(); window.onload = function() { var canvas = document.getElementById("canvas"), context = canvas.getContext("2d"), ball = new Ball(2), angle = 0, centerX = canvas.width / 2, centerY = canvas.height / 2, radius = 50, speed = 0.05, timer = null; ball.lineWidth = 0; (function drawFrame() { timer = window.requestAnimationFrame(drawFrame, canvas); if(angle > Math.PI * 2 && timer) { window.cancelRequestAnimFrame(timer); timer = null; } // context.clearRect(0, 0, canvas.width, canvas.height); ball.y = centerY + Math.sin(angle) * radius; ball.x = centerX + Math.cos(angle) * radius; angle += speed; ball.draw(context); })(); }</code></pre> <p>演示如下: <a href="/misc/goto?guid=4959677072878829266" rel="nofollow,noindex">http://codepen.io/dengzhirong/pen/akxQbx</a></p> <h2>二. 椭圆运动</h2> <h3>2.1 思路分析:</h3> <p>椭圆的方程为:</p> <pre> <code class="language-javascript">// (x0, y0)为椭圆的圆心位置;(x, y)为椭圆上的点 [(x - x0) / radiusX] ^ 2 + [(y - y0) / radiusY] ^ 2 = 1 cos(angle) ^ 2 + sin(angle) ^ 2 = 1</code></pre> <p>因此,综合以上两式,可得:</p> <ul> <li><strong>x = radiusX * cos(angle) + x0</strong></li> <li><strong>y = radiusY * sin(angle) + y0</strong></li> </ul> <p>由此可得出椭圆运动的坐标值。</p> <h2>2.2 实例:</h2> <pre> <code class="language-javascript">// cancelRequestAnimFrame的兼容函数 window.cancelRequestAnimFrame = ( function() { return window.cancelAnimationFrame || window.webkitCancelRequestAnimationFrame || window.mozCancelRequestAnimationFrame || window.oCancelRequestAnimationFrame || window.msCancelRequestAnimationFrame || clearTimeout; } )(); window.onload = function() { var canvas = document.getElementById("canvas"), context = canvas.getContext("2d"), ball = new Ball(2), angle = 0, centerX = canvas.width / 2, centerY = canvas.height / 2, radiusX = 150, radiusY = 100, speed = 0.05, timer = null; ball.lineWidth = 0; (function drawFrame() { timer = window.requestAnimationFrame(drawFrame, canvas); if(angle > Math.PI * 2 && timer) { window.cancelRequestAnimFrame(timer); timer = null; } // context.clearRect(0, 0, canvas.width, canvas.height); ball.y = centerY + Math.sin(angle) * radiusY; ball.x = centerX + Math.cos(angle) * radiusX; angle += speed; ball.draw(context); })(); }</code></pre> <p>演示如下: <a href="/misc/goto?guid=4959677072968532412" rel="nofollow,noindex">http://codepen.io/dengzhirong/pen/WxWYvX</a></p> <p> </p> <p>来自:http://www.dengzhr.com/js/962</p> <p> </p>
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