如何在HTML5Canvas中画出弯曲的spring？
How to draw a curved spring in a HTML5 Canvas?
我想在 HTML5 canvas 中绘制一个 spring，并显示 spring 是否处于静止长度。
我的 spring 附加到一些 X-Y 坐标的矩形上，定义如下：
function Spring(restLenght, width, numRounds){
this.x1 = 0;
this.y1 = 0;
this.x2 = 0;
this.y2 = 0;
this.restLenght = restLenght;
this.width = width;
this.numRounds = numRounds;
this.color = "green";
this.lineWidth = 6;
}
参数说明如下图：
当spring处于静止长度时，线条应相互平行，否则表示spring被拉伸或压缩。那么马上就清楚spring是什么状态了。
我现在被 bezierCurveTo() 方法困住了：
这是我的Fiddle：https://jsfiddle.net/df3mm8kz/1/
var cv = document.getElementById('cv'),
ctx = cv.getContext('2d'),
mouse = capture(cv),
box = new Box(120, 80, 0, 16),
spring = new Spring(160, 20, 2, 0.03, 0.9),
vx = 0,
vy = 0;
function Spring(restLenght, width, numRounds, k, f){
this.x1 = 0;
this.y1 = 0;
this.x2 = 0;
this.y2 = 0;
this.restLenght = restLenght;
this.width = width;
this.numRounds = numRounds;
this.k = k;
this.f = f;
this.color = "green";
this.lineWidth = 6;
}
Spring.prototype.draw = function(ctx) {
var sPX, sPY, cP1X, cP1Y, cP2X, cP2Y, ePX, ePY;
ctx.save();
ctx.translate(this.x, this.y);
ctx.rotate(this.rotation);
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = this.color;
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.moveTo(this.x1, this.y1);
// length of one spring's round
var l = this.restLenght/(this.numRounds + 2);
// Initial segment, from spring anchor point to the first round
sPX = this.x1+l; sPY = this.y2;
ctx.lineTo(sPX, sPY);
// half width of spring's rounds
var hw = 0.5*this.width;
// half length of one spring's round
var hl = 0.5*l;
for(var i=0, n=this.numRounds; i<n; i++) {
cP1X = sPX + hl*i; cP1Y = sPY + hw;
cP2X = sPX + l*i; cp2Y = sPY + hw;
ePX = sPX + l*i; ePY = sPY;
ctx.bezierCurveTo(cP1X,cP1Y,cP2X,cp2Y,ePX,ePY);
cP1X = sPX + hl*i; cP1Y = sPY - hw;
cP2X = sPX + l*i; cp2Y = sPY - hw;
ePX = sPX + l*i; ePY = sPY;
ctx.bezierCurveTo(cP1X,cP1Y,cP2X,cp2Y,ePX,ePY);
}
// Final segment, from last springs round to the center of mass
ctx.lineTo(this.x2, this.y2);
ctx.closePath();
ctx.fill();
ctx.stroke();
ctx.restore();
};
function Box(w, h, mx, my) {
this.x = 0;
this.y = 0;
this.w = w;
this.h = h;
this.mx = mx;
this.my = my;
this.vx = 0;
this.vy = 0;
this.rotation = 0;
this.color = "red";
this.lineWidth = 1;
}
Box.prototype.draw = function(ctx) {
ctx.save();
ctx.translate(this.x, this.y);
ctx.rotate(this.rotation);
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = "black";
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.rect(-0.5*this.w, -0.5*this.h, this.w, this.h);
ctx.closePath();
ctx.fill();
ctx.stroke();
ctx.beginPath();
ctx.strokeStyle = "yellow";
ctx.fillStyle = "yellow";
ctx.arc(this.mx, 0.5*this.h-this.my, 6, 0, 2 * Math.PI, false);
ctx.stroke();
ctx.closePath();
ctx.fill();
ctx.restore();
};
window.requestAnimFrame = (
function(callback) {
return window.setTimeout(callback, 1000/30);
});
(function drawFrame() {
window.requestAnimFrame(drawFrame, cv);
ctx.clearRect(0, 0, cv.width, cv.height);
var dx = box.x - mouse.x,
dy = box.y - mouse.y,
angle = Math.atan2(dy, dx),
boxAngle = angle + 0.5*Math.PI,
targetX = mouse.x + Math.cos(angle) * spring.restLenght,
targetY = mouse.y + Math.sin(angle) * spring.restLenght;
vx += (targetX - box.x) * spring.k;
vy += (targetY - box.y) * spring.k;
vx *= spring.f;
vy *= spring.f;
box.rotation = boxAngle;
box.x += vx;
box.y += vy;
box.draw(ctx);
spring.x1 = mouse.x;
spring.y1 = mouse.y;
spring.x2 = box.x;
spring.y2 = box.y;
spring.draw(ctx);
}());
function capture(element) {
var mouse = {
x: 0,
y: 0,
event: null
},
body_scrollLeft = document.body.scrollLeft,
element_scrollLeft = document.documentElement.scrollLeft,
body_scrollTop = document.body.scrollTop,
element_scrollTop = document.documentElement.scrollTop,
offsetLeft = element.offsetLeft,
offsetTop = element.offsetTop;
element.addEventListener('mousemove', function(event) {
var x, y;
if (event.pageX || event.pageY) {
x = event.pageX;
y = event.pageY;
} else {
x = event.clientX + body_scrollLeft + element_scrollLeft;
y = event.clientY + body_scrollTop + element_scrollTop;
}
x -= offsetLeft;
y -= offsetTop;
mouse.x = x;
mouse.y = y;
mouse.event = event;
}, false);
return mouse;
}
<canvas id="cv" width="600" height="400"></canvas>
画一个spring
我没有使用实际上不符合 spring 曲线（但接近）的贝塞尔曲线，而是使用简单的路径并使用三角函数绘制每个绕组。该函数有一个开始 x1，y1 和结束 x2，y2，绕组（应该是一个整数），spring 的宽度，偏移量（末端的位），深色和浅色，以及笔画宽度（线的宽度）。
该演示画了一个额外的亮点，使 spring 更深入一点。它可以很容易地删除。
代码来自 ，它具有相同功能的更简单版本
function drawSpring(x1, y1, x2, y2, windings, width, offset, col1, col2, lineWidth){
var x = x2 - x1;
var y = y2 - y1;
var dist = Math.sqrt(x * x + y * y);
var nx = x / dist;
var ny = y / dist;
ctx.strokeStyle = col1
ctx.lineWidth = lineWidth;
ctx.lineJoin = "round";
ctx.lineCap = "round";
ctx.beginPath();
ctx.moveTo(x1,y1);
x1 += nx * offset;
y1 += ny * offset;
x2 -= nx * offset;
y2 -= ny * offset;
var x = x2 - x1;
var y = y2 - y1;
var step = 1 / (windings);
for(var i = 0; i <= 1-step; i += step){ // for each winding
for(var j = 0; j < 1; j += 0.05){
var xx = x1 + x * (i + j * step);
var yy = y1 + y * (i + j * step);
xx -= Math.sin(j * Math.PI * 2) * ny * width;
yy += Math.sin(j * Math.PI * 2) * nx * width;
ctx.lineTo(xx,yy);
}
}
ctx.lineTo(x2, y2);
ctx.lineTo(x2 + nx * offset, y2 + ny * offset)
ctx.stroke();
ctx.strokeStyle = col2
ctx.lineWidth = lineWidth - 4;
var step = 1 / (windings);
ctx.beginPath();
ctx.moveTo(x1 - nx * offset, y1 - ny * offset);
ctx.lineTo(x1, y1);
ctx.moveTo(x2, y2);
ctx.lineTo(x2 + nx * offset, y2 + ny * offset)
for(var i = 0; i <= 1-step; i += step){ // for each winding
for(var j = 0.25; j <= 0.76; j += 0.05){
var xx = x1 + x * (i + j * step);
var yy = y1 + y * (i + j * step);
xx -= Math.sin(j * Math.PI * 2) * ny * width;
yy += Math.sin(j * Math.PI * 2) * nx * width;
if(j === 0.25){
ctx.moveTo(xx,yy);
}else{
ctx.lineTo(xx,yy);
}
}
}
ctx.stroke();
}
function display() {
ctx.setTransform(1, 0, 0, 1, 0, 0); // reset transform
ctx.globalAlpha = 1; // reset alpha
ctx.clearRect(0, 0, w, h);
ctx.lineWidth = 8;
drawSpring(canvas.width / 2,10, mouse.x,mouse.y,8,100,40,"green","#0C0",15);
}
// Boiler plate code from here down and not part of the answer
var w, h, cw, ch, canvas, ctx, mouse, globalTime = 0, firstRun = true;
;(function(){
const RESIZE_DEBOUNCE_TIME = 100;
var createCanvas, resizeCanvas, setGlobals, resizeCount = 0;
createCanvas = function () {
var c,
cs;
cs = (c = document.createElement("canvas")).style;
cs.position = "absolute";
cs.top = cs.left = "0px";
cs.zIndex = 1000;
document.body.appendChild(c);
return c;
}
resizeCanvas = function () {
if (canvas === undefined) {
canvas = createCanvas();
}
canvas.width = innerWidth;
canvas.height = innerHeight;
ctx = canvas.getContext("2d");
if (typeof setGlobals === "function") {
setGlobals();
}
if (typeof onResize === "function") {
if(firstRun){
onResize();
firstRun = false;
}else{
resizeCount += 1;
setTimeout(debounceResize, RESIZE_DEBOUNCE_TIME);
}
}
}
function debounceResize() {
resizeCount -= 1;
if (resizeCount <= 0) {
onResize();
}
}
setGlobals = function () {
cw = (w = canvas.width) / 2;
ch = (h = canvas.height) / 2;
}
mouse = (function () {
function preventDefault(e) {
e.preventDefault();
}
var mouse = {
x : 0,
y : 0,
w : 0,
alt : false,
shift : false,
ctrl : false,
buttonRaw : 0,
over : false,
bm : [1, 2, 4, 6, 5, 3],
active : false,
bounds : null,
crashRecover : null,
mouseEvents : "mousemove,mousedown,mouseup,mouseout,mouseover,mousewheel,DOMMouseScroll".split(",")
};
var m = mouse;
function mouseMove(e) {
var t = e.type;
m.bounds = m.element.getBoundingClientRect();
m.x = e.pageX - m.bounds.left;
m.y = e.pageY - m.bounds.top;
m.alt = e.altKey;
m.shift = e.shiftKey;
m.ctrl = e.ctrlKey;
if (t === "mousedown") {
m.buttonRaw |= m.bm[e.which - 1];
} else if (t === "mouseup") {
m.buttonRaw &= m.bm[e.which + 2];
} else if (t === "mouseout") {
m.buttonRaw = 0;
m.over = false;
} else if (t === "mouseover") {
m.over = true;
} else if (t === "mousewheel") {
m.w = e.wheelDelta;
} else if (t === "DOMMouseScroll") {
m.w = -e.detail;
}
if (m.callbacks) {
m.callbacks.forEach(c => c(e));
}
if ((m.buttonRaw & 2) && m.crashRecover !== null) {
if (typeof m.crashRecover === "function") {
setTimeout(m.crashRecover, 0);
}
}
e.preventDefault();
}
m.addCallback = function (callback) {
if (typeof callback === "function") {
if (m.callbacks === undefined) {
m.callbacks = [callback];
} else {
m.callbacks.push(callback);
}
}
}
m.start = function (element) {
if (m.element !== undefined) {
m.removeMouse();
}
m.element = element === undefined ? document : element;
m.mouseEvents.forEach(n => {
m.element.addEventListener(n, mouseMove);
});
m.element.addEventListener("contextmenu", preventDefault, false);
m.active = true;
}
m.remove = function () {
if (m.element !== undefined) {
m.mouseEvents.forEach(n => {
m.element.removeEventListener(n, mouseMove);
});
m.element.removeEventListener("contextmenu", preventDefault);
m.element = m.callbacks = undefined;
m.active = false;
}
}
return mouse;
})();
// Clean up. Used where the IDE is on the same page.
var done = function () {
window.removeEventListener("resize", resizeCanvas)
mouse.remove();
document.body.removeChild(canvas);
canvas = ctx = mouse = undefined;
}
function update(timer) { // Main update loop
if(ctx === undefined){
return;
}
globalTime = timer;
display(); // call demo code
if (!(mouse.buttonRaw & 2)) {
requestAnimationFrame(update);
} else {
done();
}
}
setTimeout(function(){
resizeCanvas();
mouse.start(canvas, true);
mouse.crashRecover = done;
window.addEventListener("resize", resizeCanvas);
requestAnimationFrame(update);
},0);
})();
/** SimpleFullCanvasMouse.js end **/
为了使绘图更容易，请使用 .translate() 和 .rotate() 移动到对齐的坐标系中。
ctx.translate(this.x1, this.y1);
ctx.rotate(Math.atan2(this.y2 - this.y1, this.x2 - this.x1));
然后你可以沿着局部x-axis绘制spring，它会出现在正确的位置和旋转。
您的段间距有误。 hl*i 是 spring 起点距离的一半，而不是线段起点的距离。
var cv = document.getElementById('cv'),
ctx = cv.getContext('2d'),
mouse = capture(cv),
box = new Box(120, 80, 0, 16),
spring = new Spring(160, 50, 2, 0.03, 0.9),
vx = 0,
vy = 0;
function Spring(restLenght, width, numRounds, k, f) {
this.x1 = 0;
this.y1 = 0;
this.x2 = 0;
this.y2 = 0;
this.restLenght = restLenght;
this.width = width;
this.numRounds = numRounds;
this.k = k;
this.f = f;
this.color = "green";
this.lineWidth = 6;
}
Spring.prototype.draw = function(ctx) {
var sPX, sPY, cP1X, cP1Y, cP2X, cP2Y, ePX, ePY;
ctx.save();
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = this.color;
ctx.fillStyle = this.color;
var vx = this.x2 - this.x1;
var vy = this.y2 - this.y1;
var vm = Math.sqrt(vx * vx + vy * vy);
ctx.translate(this.x1, this.y1);
ctx.rotate(Math.atan2(vy, vx));
ctx.beginPath();
ctx.moveTo(0, 0);
// length of one spring's round
var l = vm / (this.numRounds + 2);
// Initial segment, from spring anchor point to the first round
sPX = l;
sPY = 0;
ctx.lineTo(sPX, sPY);
// half width of spring's rounds
var hw = 0.5 * this.width;
for (var i = 0, n = this.numRounds; i < n; i++) {
cP1X = sPX + l * (i + 0.0);
cP1Y = sPY + hw;
cP2X = sPX + l * (i + 0.5);
cp2Y = sPY + hw;
ePX = sPX + l * (i + 0.5);
ePY = sPY;
ctx.bezierCurveTo(cP1X, cP1Y, cP2X, cp2Y, ePX, ePY);
cP1X = sPX + l * (i + 0.5);
cP1Y = sPY - hw;
cP2X = sPX + l * (i + 1.0);
cp2Y = sPY - hw;
ePX = sPX + l * (i + 1.0);
ePY = sPY;
ctx.bezierCurveTo(cP1X, cP1Y, cP2X, cp2Y, ePX, ePY);
}
// Final segment, from last springs round to the center of mass
ctx.lineTo(vm, 0);
//ctx.closePath();
//ctx.fill();
ctx.stroke();
ctx.restore();
};
function Box(w, h, mx, my) {
this.x = 0;
this.y = 0;
this.w = w;
this.h = h;
this.mx = mx;
this.my = my;
this.vx = 0;
this.vy = 0;
this.rotation = 0;
this.color = "red";
this.lineWidth = 1;
}
Box.prototype.draw = function(ctx) {
ctx.save();
ctx.translate(this.x, this.y);
ctx.rotate(this.rotation);
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = "black";
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.rect(-0.5 * this.w, -0.5 * this.h, this.w, this.h);
ctx.closePath();
ctx.fill();
ctx.stroke();
ctx.beginPath();
ctx.strokeStyle = "yellow";
ctx.fillStyle = "yellow";
ctx.arc(this.mx, 0.5 * this.h - this.my, 6, 0, 2 * Math.PI, false);
ctx.stroke();
ctx.closePath();
ctx.fill();
ctx.restore();
};
window.requestAnimFrame = (
function(callback) {
return window.setTimeout(callback, 1000 / 30);
});
(function drawFrame() {
window.requestAnimFrame(drawFrame, cv);
ctx.clearRect(0, 0, cv.width, cv.height);
var dx = box.x - mouse.x,
dy = box.y - mouse.y,
angle = Math.atan2(dy, dx),
boxAngle = angle + 0.5 * Math.PI,
targetX = mouse.x + Math.cos(angle) * spring.restLenght,
targetY = mouse.y + Math.sin(angle) * spring.restLenght;
vx += (targetX - box.x) * spring.k;
vy += (targetY - box.y) * spring.k;
vx *= spring.f;
vy *= spring.f;
box.rotation = boxAngle;
box.x += vx;
box.y += vy;
box.draw(ctx);
spring.x1 = mouse.x;
spring.y1 = mouse.y;
spring.x2 = box.x;
spring.y2 = box.y;
spring.draw(ctx);
}());
function capture(element) {
var mouse = {
x: 0,
y: 0,
event: null
},
body_scrollLeft = document.body.scrollLeft,
element_scrollLeft = document.documentElement.scrollLeft,
body_scrollTop = document.body.scrollTop,
element_scrollTop = document.documentElement.scrollTop,
offsetLeft = element.offsetLeft,
offsetTop = element.offsetTop;
element.addEventListener('mousemove', function(event) {
var x, y;
if (event.pageX || event.pageY) {
x = event.pageX;
y = event.pageY;
} else {
x = event.clientX + body_scrollLeft + element_scrollLeft;
y = event.clientY + body_scrollTop + element_scrollTop;
}
x -= offsetLeft;
y -= offsetTop;
mouse.x = x;
mouse.y = y;
mouse.event = event;
}, false);
return mouse;
}
<canvas id="cv" width="600" height="400"></canvas>
我想在 HTML5 canvas 中绘制一个 spring，并显示 spring 是否处于静止长度。 我的 spring 附加到一些 X-Y 坐标的矩形上，定义如下：
function Spring(restLenght, width, numRounds){
this.x1 = 0;
this.y1 = 0;
this.x2 = 0;
this.y2 = 0;
this.restLenght = restLenght;
this.width = width;
this.numRounds = numRounds;
this.color = "green";
this.lineWidth = 6;
}
参数说明如下图：
当spring处于静止长度时，线条应相互平行，否则表示spring被拉伸或压缩。那么马上就清楚spring是什么状态了。
我现在被 bezierCurveTo() 方法困住了：
这是我的Fiddle：https://jsfiddle.net/df3mm8kz/1/
var cv = document.getElementById('cv'),
ctx = cv.getContext('2d'),
mouse = capture(cv),
box = new Box(120, 80, 0, 16),
spring = new Spring(160, 20, 2, 0.03, 0.9),
vx = 0,
vy = 0;
function Spring(restLenght, width, numRounds, k, f){
this.x1 = 0;
this.y1 = 0;
this.x2 = 0;
this.y2 = 0;
this.restLenght = restLenght;
this.width = width;
this.numRounds = numRounds;
this.k = k;
this.f = f;
this.color = "green";
this.lineWidth = 6;
}
Spring.prototype.draw = function(ctx) {
var sPX, sPY, cP1X, cP1Y, cP2X, cP2Y, ePX, ePY;
ctx.save();
ctx.translate(this.x, this.y);
ctx.rotate(this.rotation);
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = this.color;
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.moveTo(this.x1, this.y1);
// length of one spring's round
var l = this.restLenght/(this.numRounds + 2);
// Initial segment, from spring anchor point to the first round
sPX = this.x1+l; sPY = this.y2;
ctx.lineTo(sPX, sPY);
// half width of spring's rounds
var hw = 0.5*this.width;
// half length of one spring's round
var hl = 0.5*l;
for(var i=0, n=this.numRounds; i<n; i++) {
cP1X = sPX + hl*i; cP1Y = sPY + hw;
cP2X = sPX + l*i; cp2Y = sPY + hw;
ePX = sPX + l*i; ePY = sPY;
ctx.bezierCurveTo(cP1X,cP1Y,cP2X,cp2Y,ePX,ePY);
cP1X = sPX + hl*i; cP1Y = sPY - hw;
cP2X = sPX + l*i; cp2Y = sPY - hw;
ePX = sPX + l*i; ePY = sPY;
ctx.bezierCurveTo(cP1X,cP1Y,cP2X,cp2Y,ePX,ePY);
}
// Final segment, from last springs round to the center of mass
ctx.lineTo(this.x2, this.y2);
ctx.closePath();
ctx.fill();
ctx.stroke();
ctx.restore();
};
function Box(w, h, mx, my) {
this.x = 0;
this.y = 0;
this.w = w;
this.h = h;
this.mx = mx;
this.my = my;
this.vx = 0;
this.vy = 0;
this.rotation = 0;
this.color = "red";
this.lineWidth = 1;
}
Box.prototype.draw = function(ctx) {
ctx.save();
ctx.translate(this.x, this.y);
ctx.rotate(this.rotation);
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = "black";
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.rect(-0.5*this.w, -0.5*this.h, this.w, this.h);
ctx.closePath();
ctx.fill();
ctx.stroke();
ctx.beginPath();
ctx.strokeStyle = "yellow";
ctx.fillStyle = "yellow";
ctx.arc(this.mx, 0.5*this.h-this.my, 6, 0, 2 * Math.PI, false);
ctx.stroke();
ctx.closePath();
ctx.fill();
ctx.restore();
};
window.requestAnimFrame = (
function(callback) {
return window.setTimeout(callback, 1000/30);
});
(function drawFrame() {
window.requestAnimFrame(drawFrame, cv);
ctx.clearRect(0, 0, cv.width, cv.height);
var dx = box.x - mouse.x,
dy = box.y - mouse.y,
angle = Math.atan2(dy, dx),
boxAngle = angle + 0.5*Math.PI,
targetX = mouse.x + Math.cos(angle) * spring.restLenght,
targetY = mouse.y + Math.sin(angle) * spring.restLenght;
vx += (targetX - box.x) * spring.k;
vy += (targetY - box.y) * spring.k;
vx *= spring.f;
vy *= spring.f;
box.rotation = boxAngle;
box.x += vx;
box.y += vy;
box.draw(ctx);
spring.x1 = mouse.x;
spring.y1 = mouse.y;
spring.x2 = box.x;
spring.y2 = box.y;
spring.draw(ctx);
}());
function capture(element) {
var mouse = {
x: 0,
y: 0,
event: null
},
body_scrollLeft = document.body.scrollLeft,
element_scrollLeft = document.documentElement.scrollLeft,
body_scrollTop = document.body.scrollTop,
element_scrollTop = document.documentElement.scrollTop,
offsetLeft = element.offsetLeft,
offsetTop = element.offsetTop;
element.addEventListener('mousemove', function(event) {
var x, y;
if (event.pageX || event.pageY) {
x = event.pageX;
y = event.pageY;
} else {
x = event.clientX + body_scrollLeft + element_scrollLeft;
y = event.clientY + body_scrollTop + element_scrollTop;
}
x -= offsetLeft;
y -= offsetTop;
mouse.x = x;
mouse.y = y;
mouse.event = event;
}, false);
return mouse;
}
<canvas id="cv" width="600" height="400"></canvas>
画一个spring
我没有使用实际上不符合 spring 曲线（但接近）的贝塞尔曲线，而是使用简单的路径并使用三角函数绘制每个绕组。该函数有一个开始 x1，y1 和结束 x2，y2，绕组（应该是一个整数），spring 的宽度，偏移量（末端的位），深色和浅色，以及笔画宽度（线的宽度）。
该演示画了一个额外的亮点，使 spring 更深入一点。它可以很容易地删除。
代码来自
function drawSpring(x1, y1, x2, y2, windings, width, offset, col1, col2, lineWidth){
var x = x2 - x1;
var y = y2 - y1;
var dist = Math.sqrt(x * x + y * y);
var nx = x / dist;
var ny = y / dist;
ctx.strokeStyle = col1
ctx.lineWidth = lineWidth;
ctx.lineJoin = "round";
ctx.lineCap = "round";
ctx.beginPath();
ctx.moveTo(x1,y1);
x1 += nx * offset;
y1 += ny * offset;
x2 -= nx * offset;
y2 -= ny * offset;
var x = x2 - x1;
var y = y2 - y1;
var step = 1 / (windings);
for(var i = 0; i <= 1-step; i += step){ // for each winding
for(var j = 0; j < 1; j += 0.05){
var xx = x1 + x * (i + j * step);
var yy = y1 + y * (i + j * step);
xx -= Math.sin(j * Math.PI * 2) * ny * width;
yy += Math.sin(j * Math.PI * 2) * nx * width;
ctx.lineTo(xx,yy);
}
}
ctx.lineTo(x2, y2);
ctx.lineTo(x2 + nx * offset, y2 + ny * offset)
ctx.stroke();
ctx.strokeStyle = col2
ctx.lineWidth = lineWidth - 4;
var step = 1 / (windings);
ctx.beginPath();
ctx.moveTo(x1 - nx * offset, y1 - ny * offset);
ctx.lineTo(x1, y1);
ctx.moveTo(x2, y2);
ctx.lineTo(x2 + nx * offset, y2 + ny * offset)
for(var i = 0; i <= 1-step; i += step){ // for each winding
for(var j = 0.25; j <= 0.76; j += 0.05){
var xx = x1 + x * (i + j * step);
var yy = y1 + y * (i + j * step);
xx -= Math.sin(j * Math.PI * 2) * ny * width;
yy += Math.sin(j * Math.PI * 2) * nx * width;
if(j === 0.25){
ctx.moveTo(xx,yy);
}else{
ctx.lineTo(xx,yy);
}
}
}
ctx.stroke();
}
function display() {
ctx.setTransform(1, 0, 0, 1, 0, 0); // reset transform
ctx.globalAlpha = 1; // reset alpha
ctx.clearRect(0, 0, w, h);
ctx.lineWidth = 8;
drawSpring(canvas.width / 2,10, mouse.x,mouse.y,8,100,40,"green","#0C0",15);
}
// Boiler plate code from here down and not part of the answer
var w, h, cw, ch, canvas, ctx, mouse, globalTime = 0, firstRun = true;
;(function(){
const RESIZE_DEBOUNCE_TIME = 100;
var createCanvas, resizeCanvas, setGlobals, resizeCount = 0;
createCanvas = function () {
var c,
cs;
cs = (c = document.createElement("canvas")).style;
cs.position = "absolute";
cs.top = cs.left = "0px";
cs.zIndex = 1000;
document.body.appendChild(c);
return c;
}
resizeCanvas = function () {
if (canvas === undefined) {
canvas = createCanvas();
}
canvas.width = innerWidth;
canvas.height = innerHeight;
ctx = canvas.getContext("2d");
if (typeof setGlobals === "function") {
setGlobals();
}
if (typeof onResize === "function") {
if(firstRun){
onResize();
firstRun = false;
}else{
resizeCount += 1;
setTimeout(debounceResize, RESIZE_DEBOUNCE_TIME);
}
}
}
function debounceResize() {
resizeCount -= 1;
if (resizeCount <= 0) {
onResize();
}
}
setGlobals = function () {
cw = (w = canvas.width) / 2;
ch = (h = canvas.height) / 2;
}
mouse = (function () {
function preventDefault(e) {
e.preventDefault();
}
var mouse = {
x : 0,
y : 0,
w : 0,
alt : false,
shift : false,
ctrl : false,
buttonRaw : 0,
over : false,
bm : [1, 2, 4, 6, 5, 3],
active : false,
bounds : null,
crashRecover : null,
mouseEvents : "mousemove,mousedown,mouseup,mouseout,mouseover,mousewheel,DOMMouseScroll".split(",")
};
var m = mouse;
function mouseMove(e) {
var t = e.type;
m.bounds = m.element.getBoundingClientRect();
m.x = e.pageX - m.bounds.left;
m.y = e.pageY - m.bounds.top;
m.alt = e.altKey;
m.shift = e.shiftKey;
m.ctrl = e.ctrlKey;
if (t === "mousedown") {
m.buttonRaw |= m.bm[e.which - 1];
} else if (t === "mouseup") {
m.buttonRaw &= m.bm[e.which + 2];
} else if (t === "mouseout") {
m.buttonRaw = 0;
m.over = false;
} else if (t === "mouseover") {
m.over = true;
} else if (t === "mousewheel") {
m.w = e.wheelDelta;
} else if (t === "DOMMouseScroll") {
m.w = -e.detail;
}
if (m.callbacks) {
m.callbacks.forEach(c => c(e));
}
if ((m.buttonRaw & 2) && m.crashRecover !== null) {
if (typeof m.crashRecover === "function") {
setTimeout(m.crashRecover, 0);
}
}
e.preventDefault();
}
m.addCallback = function (callback) {
if (typeof callback === "function") {
if (m.callbacks === undefined) {
m.callbacks = [callback];
} else {
m.callbacks.push(callback);
}
}
}
m.start = function (element) {
if (m.element !== undefined) {
m.removeMouse();
}
m.element = element === undefined ? document : element;
m.mouseEvents.forEach(n => {
m.element.addEventListener(n, mouseMove);
});
m.element.addEventListener("contextmenu", preventDefault, false);
m.active = true;
}
m.remove = function () {
if (m.element !== undefined) {
m.mouseEvents.forEach(n => {
m.element.removeEventListener(n, mouseMove);
});
m.element.removeEventListener("contextmenu", preventDefault);
m.element = m.callbacks = undefined;
m.active = false;
}
}
return mouse;
})();
// Clean up. Used where the IDE is on the same page.
var done = function () {
window.removeEventListener("resize", resizeCanvas)
mouse.remove();
document.body.removeChild(canvas);
canvas = ctx = mouse = undefined;
}
function update(timer) { // Main update loop
if(ctx === undefined){
return;
}
globalTime = timer;
display(); // call demo code
if (!(mouse.buttonRaw & 2)) {
requestAnimationFrame(update);
} else {
done();
}
}
setTimeout(function(){
resizeCanvas();
mouse.start(canvas, true);
mouse.crashRecover = done;
window.addEventListener("resize", resizeCanvas);
requestAnimationFrame(update);
},0);
})();
/** SimpleFullCanvasMouse.js end **/
为了使绘图更容易，请使用 .translate() 和 .rotate() 移动到对齐的坐标系中。
ctx.translate(this.x1, this.y1);
ctx.rotate(Math.atan2(this.y2 - this.y1, this.x2 - this.x1));
然后你可以沿着局部x-axis绘制spring，它会出现在正确的位置和旋转。
您的段间距有误。 hl*i 是 spring 起点距离的一半，而不是线段起点的距离。
var cv = document.getElementById('cv'),
ctx = cv.getContext('2d'),
mouse = capture(cv),
box = new Box(120, 80, 0, 16),
spring = new Spring(160, 50, 2, 0.03, 0.9),
vx = 0,
vy = 0;
function Spring(restLenght, width, numRounds, k, f) {
this.x1 = 0;
this.y1 = 0;
this.x2 = 0;
this.y2 = 0;
this.restLenght = restLenght;
this.width = width;
this.numRounds = numRounds;
this.k = k;
this.f = f;
this.color = "green";
this.lineWidth = 6;
}
Spring.prototype.draw = function(ctx) {
var sPX, sPY, cP1X, cP1Y, cP2X, cP2Y, ePX, ePY;
ctx.save();
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = this.color;
ctx.fillStyle = this.color;
var vx = this.x2 - this.x1;
var vy = this.y2 - this.y1;
var vm = Math.sqrt(vx * vx + vy * vy);
ctx.translate(this.x1, this.y1);
ctx.rotate(Math.atan2(vy, vx));
ctx.beginPath();
ctx.moveTo(0, 0);
// length of one spring's round
var l = vm / (this.numRounds + 2);
// Initial segment, from spring anchor point to the first round
sPX = l;
sPY = 0;
ctx.lineTo(sPX, sPY);
// half width of spring's rounds
var hw = 0.5 * this.width;
for (var i = 0, n = this.numRounds; i < n; i++) {
cP1X = sPX + l * (i + 0.0);
cP1Y = sPY + hw;
cP2X = sPX + l * (i + 0.5);
cp2Y = sPY + hw;
ePX = sPX + l * (i + 0.5);
ePY = sPY;
ctx.bezierCurveTo(cP1X, cP1Y, cP2X, cp2Y, ePX, ePY);
cP1X = sPX + l * (i + 0.5);
cP1Y = sPY - hw;
cP2X = sPX + l * (i + 1.0);
cp2Y = sPY - hw;
ePX = sPX + l * (i + 1.0);
ePY = sPY;
ctx.bezierCurveTo(cP1X, cP1Y, cP2X, cp2Y, ePX, ePY);
}
// Final segment, from last springs round to the center of mass
ctx.lineTo(vm, 0);
//ctx.closePath();
//ctx.fill();
ctx.stroke();
ctx.restore();
};
function Box(w, h, mx, my) {
this.x = 0;
this.y = 0;
this.w = w;
this.h = h;
this.mx = mx;
this.my = my;
this.vx = 0;
this.vy = 0;
this.rotation = 0;
this.color = "red";
this.lineWidth = 1;
}
Box.prototype.draw = function(ctx) {
ctx.save();
ctx.translate(this.x, this.y);
ctx.rotate(this.rotation);
ctx.lineWidth = this.lineWidth;
ctx.strokeStyle = "black";
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.rect(-0.5 * this.w, -0.5 * this.h, this.w, this.h);
ctx.closePath();
ctx.fill();
ctx.stroke();
ctx.beginPath();
ctx.strokeStyle = "yellow";
ctx.fillStyle = "yellow";
ctx.arc(this.mx, 0.5 * this.h - this.my, 6, 0, 2 * Math.PI, false);
ctx.stroke();
ctx.closePath();
ctx.fill();
ctx.restore();
};
window.requestAnimFrame = (
function(callback) {
return window.setTimeout(callback, 1000 / 30);
});
(function drawFrame() {
window.requestAnimFrame(drawFrame, cv);
ctx.clearRect(0, 0, cv.width, cv.height);
var dx = box.x - mouse.x,
dy = box.y - mouse.y,
angle = Math.atan2(dy, dx),
boxAngle = angle + 0.5 * Math.PI,
targetX = mouse.x + Math.cos(angle) * spring.restLenght,
targetY = mouse.y + Math.sin(angle) * spring.restLenght;
vx += (targetX - box.x) * spring.k;
vy += (targetY - box.y) * spring.k;
vx *= spring.f;
vy *= spring.f;
box.rotation = boxAngle;
box.x += vx;
box.y += vy;
box.draw(ctx);
spring.x1 = mouse.x;
spring.y1 = mouse.y;
spring.x2 = box.x;
spring.y2 = box.y;
spring.draw(ctx);
}());
function capture(element) {
var mouse = {
x: 0,
y: 0,
event: null
},
body_scrollLeft = document.body.scrollLeft,
element_scrollLeft = document.documentElement.scrollLeft,
body_scrollTop = document.body.scrollTop,
element_scrollTop = document.documentElement.scrollTop,
offsetLeft = element.offsetLeft,
offsetTop = element.offsetTop;
element.addEventListener('mousemove', function(event) {
var x, y;
if (event.pageX || event.pageY) {
x = event.pageX;
y = event.pageY;
} else {
x = event.clientX + body_scrollLeft + element_scrollLeft;
y = event.clientY + body_scrollTop + element_scrollTop;
}
x -= offsetLeft;
y -= offsetTop;
mouse.x = x;
mouse.y = y;
mouse.event = event;
}, false);
return mouse;
}
<canvas id="cv" width="600" height="400"></canvas>