5-15, 5-16, and 4-12 correctly this time
This commit is contained in:
71
4-12.html
71
4-12.html
@@ -164,28 +164,61 @@
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos, yPos, 100, 0, Math.PI * 2);
|
||||
ctx.stroke();
|
||||
for (i = 0; i < n; i++)
|
||||
if (m % 2 == 0)
|
||||
{
|
||||
if (2 * w * Math.sin(Math.PI * m / n) > 0.0001)
|
||||
mn = Math.floor(m / 2);
|
||||
console.log("cos" + mn.toString());
|
||||
for (i = 0; i < n; i++)
|
||||
{
|
||||
var theta = Math.PI * 2 * i / n;
|
||||
theta += Math.cos(i * 2 * Math.PI * m / n) * amp * Math.cos(2 * w * Math.sin(Math.PI * m / n) * t);
|
||||
var theta2 = Math.PI * 2 * (i + 1) / n;
|
||||
theta2 += Math.cos((i+1) * 2 * Math.PI * m / n) * amp * Math.cos(2 * w * Math.sin(Math.PI * m / n) * t);
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + 100 * Math.cos(theta), yPos + 100 * Math.sin(theta), 10, 0, Math.PI * 2);
|
||||
ctx.fill();
|
||||
connectTwoTheta(theta, theta2);
|
||||
} else
|
||||
if (2 * w * Math.sin(Math.PI * mn / n) > 0.0001)
|
||||
{
|
||||
var theta = Math.PI * 2 * i / n;
|
||||
theta += Math.cos(i * 2 * Math.PI * mn / n) * amp * Math.cos(2 * w * Math.sin(Math.PI * mn / n) * t);
|
||||
var theta2 = Math.PI * 2 * (i + 1) / n;
|
||||
theta2 += Math.cos((i+1) * 2 * Math.PI * mn / n) * amp * Math.cos(2 * w * Math.sin(Math.PI * mn / n) * t);
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + 100 * Math.cos(theta), yPos + 100 * Math.sin(theta), 10, 0, Math.PI * 2);
|
||||
ctx.fill();
|
||||
connectTwoTheta(theta, theta2);
|
||||
} else
|
||||
{
|
||||
var theta = Math.PI * 2 * i / n;
|
||||
theta += Math.cos(i * 2 * Math.PI * mn / n) * amp * w * t;
|
||||
var theta2 = Math.PI * 2 * (i + 1) / n;
|
||||
theta2 += Math.cos((i+1) * 2 * Math.PI * mn / n) * amp * w * t;
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + 100 * Math.cos(theta), yPos + 100 * Math.sin(theta), 10, 0, Math.PI * 2);
|
||||
ctx.fill();
|
||||
connectTwoTheta(theta, theta2);
|
||||
}
|
||||
}
|
||||
} else
|
||||
{
|
||||
mn = Math.floor(m / 2);
|
||||
console.log("sin" + mn.toString());
|
||||
for (i = 0; i < n; i++)
|
||||
{
|
||||
var theta = Math.PI * 2 * i / n;
|
||||
theta += Math.cos(i * 2 * Math.PI * m / n) * amp * w * t;
|
||||
var theta2 = Math.PI * 2 * (i + 1) / n;
|
||||
theta2 += Math.cos((i+1) * 2 * Math.PI * m / n) * amp * w * t;
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + 100 * Math.cos(theta), yPos + 100 * Math.sin(theta), 10, 0, Math.PI * 2);
|
||||
ctx.fill();
|
||||
connectTwoTheta(theta, theta2);
|
||||
if (2 * w * Math.sin(Math.PI * mn / n) > 0.0001)
|
||||
{
|
||||
var theta = Math.PI * 2 * i / n;
|
||||
theta += Math.sin(i * 2 * Math.PI * mn / n) * amp * Math.cos(2 * w * Math.sin(Math.PI * mn / n) * t);
|
||||
var theta2 = Math.PI * 2 * (i + 1) / n;
|
||||
theta2 += Math.sin((i+1) * 2 * Math.PI * mn / n) * amp * Math.cos(2 * w * Math.sin(Math.PI * mn / n) * t);
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + 100 * Math.cos(theta), yPos + 100 * Math.sin(theta), 10, 0, Math.PI * 2);
|
||||
ctx.fill();
|
||||
connectTwoTheta(theta, theta2);
|
||||
} else
|
||||
{
|
||||
var theta = Math.PI * 2 * i / n;
|
||||
theta += Math.cos(i * 2 * Math.PI * mn / n) * amp * w * t;
|
||||
var theta2 = Math.PI * 2 * (i + 1) / n;
|
||||
theta2 += Math.cos((i+1) * 2 * Math.PI * mn / n) * amp * w * t;
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + 100 * Math.cos(theta), yPos + 100 * Math.sin(theta), 10, 0, Math.PI * 2);
|
||||
ctx.fill();
|
||||
connectTwoTheta(theta, theta2);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
170
5-15.html
Normal file
170
5-15.html
Normal file
@@ -0,0 +1,170 @@
|
||||
<!--
|
||||
This work is licensed under CC BY-NC-ND 4.0
|
||||
Link to license: http://creativecommons.org/licenses/by-nc-nd/4.0/
|
||||
Attribute to Russell Georgi
|
||||
-->
|
||||
<html>
|
||||
<head>
|
||||
<title>
|
||||
Problem 5-15
|
||||
</title>
|
||||
<style>
|
||||
html, body {
|
||||
width: 100%;
|
||||
height: 100%;
|
||||
margin: 0px;
|
||||
border: 0;
|
||||
overflow: hidden;
|
||||
display: block;
|
||||
}
|
||||
|
||||
canvas {
|
||||
position: absolute;
|
||||
}
|
||||
|
||||
|
||||
.dropbtn {
|
||||
background-color: #04AA6D;
|
||||
color: white;
|
||||
padding: 16px;
|
||||
font-size: 16px;
|
||||
border: none;
|
||||
}
|
||||
|
||||
.dropbtnm {
|
||||
background-color: #04AA6D;
|
||||
color: white;
|
||||
padding: 16px;
|
||||
font-size: 16px;
|
||||
border: none;
|
||||
}
|
||||
|
||||
.dropdown {
|
||||
position: absolute;
|
||||
display: inline-block;
|
||||
}
|
||||
|
||||
.dropdown-content {
|
||||
display: none;
|
||||
position: relative;
|
||||
background-color: #f1f1f1;
|
||||
box-shadow: 0px 8px 16px 0px rgba(0,0,0,0.2);
|
||||
z-index: 1;
|
||||
}
|
||||
|
||||
.dropdown-content button {
|
||||
color: black;
|
||||
padding: 12px 16px;
|
||||
width: 100px;
|
||||
text-decoration: none;
|
||||
display: block;
|
||||
}
|
||||
|
||||
#m {
|
||||
left: 110px;
|
||||
}
|
||||
|
||||
.dropdown-content a:hover {background-color: #ddd;}
|
||||
|
||||
.dropdown:hover .dropdown-content {display: block;}
|
||||
|
||||
.dropdown:hover .dropbtn {background-color: #3e8e41;}
|
||||
</style>
|
||||
</head>
|
||||
<body>
|
||||
<canvas id="myCanvas" width="1" height="1" style="border:1px solid #ffffff;">
|
||||
Your browser does not support the HTML5 canvas tag.</canvas>
|
||||
|
||||
<script>
|
||||
var c = document.getElementById("myCanvas");
|
||||
var ctx = c.getContext("2d");
|
||||
ctx.canvas.width = window.innerWidth;
|
||||
ctx.canvas.height = window.innerHeight;
|
||||
|
||||
var m = 250;
|
||||
var s = 1;
|
||||
var u = 10;
|
||||
var t = 0;
|
||||
var w = 160;
|
||||
var h = 100;
|
||||
var x = 0;
|
||||
var sdt = 3;
|
||||
var st = 3;
|
||||
var sr = 5;
|
||||
var six = -100;
|
||||
var snowballPositions = new Array();
|
||||
var snowballDirections = new Array();
|
||||
var dt = 0.1;
|
||||
var xPos = 0;
|
||||
var yPos = 0;
|
||||
|
||||
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2);
|
||||
ctx.scale(1.5, 1.5);
|
||||
|
||||
|
||||
function Clear(ctx)
|
||||
{
|
||||
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
|
||||
}
|
||||
|
||||
function Update()
|
||||
{
|
||||
Clear(ctx);
|
||||
Draw();
|
||||
t += dt;
|
||||
st += dt;
|
||||
x = calcX(t);
|
||||
setTimeout(Update, 1000/60)
|
||||
}
|
||||
|
||||
function calcX(gt)
|
||||
{
|
||||
return u * gt - m * u * Math.log(1 + 2 * s * gt / m) / (2 * s);
|
||||
}
|
||||
|
||||
function Draw()
|
||||
{
|
||||
ctx.beginPath();
|
||||
ctx.rect(xPos + x - w / 2, yPos - h / 2, w, h);
|
||||
ctx.stroke();
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + x - w / 4 - h/8, yPos + h / 2 + h / 8, h/8, 0, Math.PI * 2);
|
||||
ctx.stroke();
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + x + w / 4 + h/8, yPos + h / 2 + h / 8, h/8, 0, Math.PI * 2);
|
||||
ctx.stroke();
|
||||
if (st > sdt)
|
||||
{
|
||||
st -= sdt;
|
||||
snowballPositions.push(six);
|
||||
snowballDirections.push(1);
|
||||
}
|
||||
for (i = 0; i < snowballPositions.length; i++)
|
||||
{
|
||||
if (snowballPositions[i] < x - w/2 - sr || snowballDirections[i] == -1)
|
||||
{
|
||||
snowballPositions[i] += u * dt * snowballDirections[i];
|
||||
} else
|
||||
{
|
||||
snowballDirections[i] = -1;
|
||||
}
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + snowballPositions[i], yPos - h/4, sr, 0, Math.PI * 2);
|
||||
ctx.stroke();
|
||||
}
|
||||
}
|
||||
|
||||
window.addEventListener('resize', function(event) {
|
||||
c.width = window.innerWidth;
|
||||
c.height = window.innerHeight;
|
||||
ctx.translate(c.width / 2, c.height / 2);
|
||||
}, true);
|
||||
|
||||
Update();
|
||||
|
||||
</script>
|
||||
</body>
|
||||
<p xmlns:cc="http://creativecommons.org/ns#" style="font-size: 1vw; bottom: 0px; position: absolute;">
|
||||
This work is licensed under
|
||||
<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/?ref=chooser-v1" target="_blank" rel="license noopener noreferrer" style="display:inline-block;">CC BY-NC-ND 4.0<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/cc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/by.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nd.svg?ref=chooser-v1"></a></p>
|
||||
</html>
|
||||
174
5-16.html
Normal file
174
5-16.html
Normal file
@@ -0,0 +1,174 @@
|
||||
<!--
|
||||
This work is licensed under CC BY-NC-ND 4.0
|
||||
Link to license: http://creativecommons.org/licenses/by-nc-nd/4.0/
|
||||
Attribute to Russell Georgi
|
||||
-->
|
||||
<html>
|
||||
<head>
|
||||
<title>
|
||||
Problem 5-16
|
||||
</title>
|
||||
<style>
|
||||
html, body {
|
||||
width: 100%;
|
||||
height: 100%;
|
||||
margin: 0px;
|
||||
border: 0;
|
||||
overflow: hidden;
|
||||
display: block;
|
||||
}
|
||||
|
||||
canvas {
|
||||
position: absolute;
|
||||
}
|
||||
|
||||
|
||||
.dropbtn {
|
||||
background-color: #04AA6D;
|
||||
color: white;
|
||||
padding: 16px;
|
||||
font-size: 16px;
|
||||
border: none;
|
||||
}
|
||||
|
||||
.dropbtnm {
|
||||
background-color: #04AA6D;
|
||||
color: white;
|
||||
padding: 16px;
|
||||
font-size: 16px;
|
||||
border: none;
|
||||
}
|
||||
|
||||
.dropdown {
|
||||
position: absolute;
|
||||
display: inline-block;
|
||||
}
|
||||
|
||||
.dropdown-content {
|
||||
display: none;
|
||||
position: relative;
|
||||
background-color: #f1f1f1;
|
||||
box-shadow: 0px 8px 16px 0px rgba(0,0,0,0.2);
|
||||
z-index: 1;
|
||||
}
|
||||
|
||||
.dropdown-content button {
|
||||
color: black;
|
||||
padding: 12px 16px;
|
||||
width: 100px;
|
||||
text-decoration: none;
|
||||
display: block;
|
||||
}
|
||||
|
||||
#m {
|
||||
left: 110px;
|
||||
}
|
||||
|
||||
.dropdown-content a:hover {background-color: #ddd;}
|
||||
|
||||
.dropdown:hover .dropdown-content {display: block;}
|
||||
|
||||
.dropdown:hover .dropbtn {background-color: #3e8e41;}
|
||||
</style>
|
||||
</head>
|
||||
<body>
|
||||
<canvas id="myCanvas" width="1" height="1" style="border:1px solid #ffffff;">
|
||||
Your browser does not support the HTML5 canvas tag.</canvas>
|
||||
|
||||
<script>
|
||||
var c = document.getElementById("myCanvas");
|
||||
var ctx = c.getContext("2d");
|
||||
ctx.canvas.width = window.innerWidth;
|
||||
ctx.canvas.height = window.innerHeight;
|
||||
|
||||
var m = 250;
|
||||
var s = 1;
|
||||
var u = 10;
|
||||
var t = 0;
|
||||
var w = 160;
|
||||
var h = 100;
|
||||
var x = 0;
|
||||
var sdt = 3;
|
||||
var st = 3;
|
||||
var sr = 5;
|
||||
var six = -100;
|
||||
var snowballPositions = new Array();
|
||||
var snowballDirections = new Array();
|
||||
var dt = 0.1;
|
||||
var xPos = 0;
|
||||
var yPos = 0;
|
||||
|
||||
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2);
|
||||
ctx.scale(1.5, 1.5);
|
||||
|
||||
|
||||
function Clear(ctx)
|
||||
{
|
||||
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
|
||||
}
|
||||
|
||||
function Update()
|
||||
{
|
||||
Clear(ctx);
|
||||
Draw();
|
||||
t += dt;
|
||||
st += dt;
|
||||
x = calcX(t);
|
||||
setTimeout(Update, 1000/60)
|
||||
}
|
||||
|
||||
function calcX(gt)
|
||||
{
|
||||
return u * gt - m * u * Math.log(1 + 2 * s * gt / m) / (2 * s);
|
||||
}
|
||||
|
||||
function Draw()
|
||||
{
|
||||
ctx.beginPath();
|
||||
ctx.rect(xPos + x - w / 2, yPos - h / 2, w, h);
|
||||
ctx.stroke();
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + x - w / 4 - h/8, yPos + h / 2 + h / 8, h/8, 0, Math.PI * 2);
|
||||
ctx.stroke();
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + x + w / 4 + h/8, yPos + h / 2 + h / 8, h/8, 0, Math.PI * 2);
|
||||
ctx.stroke();
|
||||
if (st > sdt)
|
||||
{
|
||||
st -= sdt;
|
||||
snowballPositions.push(six);
|
||||
snowballDirections.push(1);
|
||||
}
|
||||
for (i = 0; i < snowballPositions.length; i++)
|
||||
{
|
||||
y = -h/4;
|
||||
if (snowballPositions[i] < x - w/2 - sr)
|
||||
{
|
||||
snowballPositions[i] += u * dt * snowballDirections[i];
|
||||
} else
|
||||
{
|
||||
snowballDirections[i] = 0;
|
||||
nr = Math.floor(w / (2 * sr));
|
||||
snowballPositions[i] = x - w/2 + sr + 2 * sr * (i % nr);
|
||||
y = h/2 - sr - 2 * sr * Math.floor(i / nr);
|
||||
}
|
||||
ctx.beginPath();
|
||||
ctx.arc(xPos + snowballPositions[i], yPos + y, sr, 0, Math.PI * 2);
|
||||
ctx.stroke();
|
||||
}
|
||||
}
|
||||
|
||||
window.addEventListener('resize', function(event) {
|
||||
c.width = window.innerWidth;
|
||||
c.height = window.innerHeight;
|
||||
ctx.translate(c.width / 2, c.height / 2);
|
||||
}, true);
|
||||
|
||||
Update();
|
||||
|
||||
</script>
|
||||
</body>
|
||||
<p xmlns:cc="http://creativecommons.org/ns#" style="font-size: 1vw; bottom: 0px; position: absolute;">
|
||||
This work is licensed under
|
||||
<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/?ref=chooser-v1" target="_blank" rel="license noopener noreferrer" style="display:inline-block;">CC BY-NC-ND 4.0<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/cc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/by.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nd.svg?ref=chooser-v1"></a></p>
|
||||
</html>
|
||||
Reference in New Issue
Block a user