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index.html
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<html>
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta charset="utf-8">
<title>Warp Spirals for OEIS A323782 & A323784</title>
<style>
html,
body {
margin: 0;
padding: 0;
width: 100%;
height: 100%;
background: #000;
color: #eee;
font: 11px 'Lucida Grande', sans-serif;
}
a,
a:visited {
color: #62d7ff;
text-decoration: none;
}
footer {
color: #fff;
position: absolute;
bottom: 0;
right: 15;
text-align: center;
font-size: 12px;
padding: 4px;
background: rgba(0, 0, 0, 0.5);
}
</style>
<style type="text/css">
.dg ul {
list-style: none;
margin: 0;
padding: 0;
width: 100%;
clear: both
}
.dg.ac {
position: fixed;
top: 0;
left: 0;
right: 0;
height: 0;
z-index: 0
}
.dg:not(.ac) .main {
overflow: hidden
}
.dg.main {
-webkit-transition: opacity 0.1s linear;
-o-transition: opacity 0.1s linear;
-moz-transition: opacity 0.1s linear;
transition: opacity 0.1s linear
}
.dg.main.taller-than-window {
overflow-y: auto
}
.dg.main.taller-than-window .close-button {
opacity: 1;
margin-top: -1px;
border-top: 1px solid #2c2c2c
}
.dg.main ul.closed .close-button {
opacity: 1 !important
}
.dg.main:hover .close-button,
.dg.main .close-button.drag {
opacity: 1
}
.dg.main .close-button {
-webkit-transition: opacity 0.1s linear;
-o-transition: opacity 0.1s linear;
-moz-transition: opacity 0.1s linear;
transition: opacity 0.1s linear;
border: 0;
position: absolute;
line-height: 19px;
height: 20px;
cursor: pointer;
text-align: center;
background-color: #000
}
.dg.main .close-button:hover {
background-color: #111
}
.dg.a {
float: right;
margin-right: 15px;
overflow-x: hidden
}
.dg.a.has-save ul {
margin-top: 27px
}
.dg.a.has-save ul.closed {
margin-top: 0
}
.dg.a .save-row {
position: fixed;
top: 0;
z-index: 1002
}
.dg li {
-webkit-transition: height 0.1s ease-out;
-o-transition: height 0.1s ease-out;
-moz-transition: height 0.1s ease-out;
transition: height 0.1s ease-out
}
.dg li:not(.folder) {
cursor: auto;
height: 27px;
line-height: 27px;
overflow: hidden;
padding: 0 4px 0 5px
}
.dg li.folder {
padding: 0;
border-left: 4px solid rgba(0, 0, 0, 0)
}
.dg li.title {
cursor: pointer;
margin-left: -4px
}
.dg .closed li:not(.title),
.dg .closed ul li,
.dg .closed ul li>* {
height: 0;
overflow: hidden;
border: 0
}
.dg .cr {
clear: both;
padding-left: 3px;
height: 27px
}
.dg .property-name {
cursor: default;
float: left;
clear: left;
width: 40%;
overflow: hidden;
text-overflow: ellipsis
}
.dg .c {
float: left;
width: 60%
}
.dg .c input[type=text] {
border: 0;
margin-top: 4px;
padding: 3px;
width: 100%;
float: right
}
.dg .has-slider input[type=text] {
width: 30%;
margin-left: 0
}
.dg .slider {
float: left;
width: 66%;
margin-left: -5px;
margin-right: 0;
height: 19px;
margin-top: 4px
}
.dg .slider-fg {
height: 100%
}
.dg .c input[type=checkbox] {
margin-top: 9px
}
.dg .c select {
margin-top: 5px
}
.dg .cr.function,
.dg .cr.function .property-name,
.dg .cr.function *,
.dg .cr.boolean,
.dg .cr.boolean * {
cursor: pointer
}
.dg .selector {
display: none;
position: absolute;
margin-left: -9px;
margin-top: 23px;
z-index: 10
}
.dg .c:hover .selector,
.dg .selector.drag {
display: block
}
.dg li.save-row {
padding: 0
}
.dg li.save-row .button {
display: inline-block;
padding: 0px 6px
}
.dg.dialogue {
background-color: #222;
width: 460px;
padding: 15px;
font-size: 13px;
line-height: 15px
}
#dg-new-constructor {
padding: 10px;
color: #222;
font-family: Monaco, monospace;
font-size: 10px;
border: 0;
resize: none;
box-shadow: inset 1px 1px 1px #888;
word-wrap: break-word;
margin: 12px 0;
display: block;
width: 440px;
overflow-y: scroll;
height: 100px;
position: relative
}
#dg-local-explain {
display: none;
font-size: 11px;
line-height: 17px;
border-radius: 3px;
background-color: #333;
padding: 8px;
margin-top: 10px
}
#dg-local-explain code {
font-size: 10px
}
#dat-gui-save-locally {
display: none
}
.dg {
color: #eee;
font: 11px 'Lucida Grande', sans-serif;
text-shadow: 0 -1px 0 #111
}
.dg.main::-webkit-scrollbar {
width: 5px;
background: #1a1a1a
}
.dg.main::-webkit-scrollbar-corner {
height: 0;
display: none
}
.dg.main::-webkit-scrollbar-thumb {
border-radius: 5px;
background: #676767
}
.dg li:not(.folder) {
background: #1a1a1a;
border-bottom: 1px solid #2c2c2c
}
.dg li.save-row {
line-height: 25px;
background: #dad5cb;
border: 0
}
.dg li.save-row select {
margin-left: 5px;
width: 108px
}
.dg li.save-row .button {
margin-left: 5px;
margin-top: 1px;
border-radius: 2px;
font-size: 9px;
line-height: 7px;
padding: 4px 4px 5px 4px;
background: #c5bdad;
color: #fff;
text-shadow: 0 1px 0 #b0a58f;
box-shadow: 0 -1px 0 #b0a58f;
cursor: pointer
}
.dg li.save-row .button.gears {
background: #c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;
height: 7px;
width: 8px
}
.dg li.save-row .button:hover {
background-color: #bab19e;
box-shadow: 0 -1px 0 #b0a58f
}
.dg li.folder {
border-bottom: 0
}
.dg li.title {
padding-left: 16px;
background: #000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;
cursor: pointer;
border-bottom: 1px solid rgba(255, 255, 255, 0.2)
}
.dg .closed li.title {
background-image: url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)
}
.dg .cr.boolean {
border-left: 3px solid #806787
}
.dg .cr.function {
border-left: 3px solid #e61d5f
}
.dg .cr.number {
border-left: 3px solid #2fa1d6
}
.dg .cr.number input[type=text] {
color: #2fa1d6
}
.dg .cr.string {
border-left: 3px solid #1ed36f
}
.dg .cr.string input[type=text] {
color: #1ed36f
}
.dg .cr.function:hover,
.dg .cr.boolean:hover {
background: #111
}
.dg .c input[type=text] {
background: #303030;
outline: none
}
.dg .c input[type=text]:hover {
background: #3c3c3c
}
.dg .c input[type=text]:focus {
background: #494949;
color: #fff
}
.dg .c .slider {
background: #303030;
cursor: ew-resize
}
.dg .c .slider-fg {
background: #2fa1d6
}
.dg .c .slider:hover {
background: #3c3c3c
}
.dg .c .slider:hover .slider-fg {
background: #44abda
}
</style>
</head>
<body>
<canvas id="canvas" width=960 height=500></canvas>
<footer>Warp Spirals for <a href="https://oeis.org/A323782">A323782</a> and <a href="https://oeis.org/A323784">A323784</a> by <a href="https://github.com/sneakyweasel/WarpPrimes">sneakyweasel</a></footer>
<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/5.8.0/d3.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/dat-gui/0.7.5/dat.gui.min.js"></script>
<!-- Load OEIS sequences -->
<script src="./A323782.js"></script>
<script src="./A323783.js"></script>
<script src="./A323784.js"></script>
<script>
window.onload = function () {
console.log(A323782.slice(0, 10));
var canvas = document.getElementById("canvas");
var width = canvas.width = document.body.clientWidth || 960,
height = canvas.height = document.body.clientHeight || 500,
size = 3,
ulamN = 4,
max = 6e5,
start = 1,
numcols = Math.floor(width / size),
numrows = Math.floor(height / size),
colors = ["#ffc344", "#000000", "#ff0000"];
var ctx = canvas.getContext("2d");
ctx.save();
var latest = 0;
function plotUlam(n) {
// rerender invalidation
var current = ++latest;
// reset canvas
ctx.restore();
ctx.save();
ctx.fillStyle = colors[0];
ctx.clearRect(0, 0, width, height);
ctx.translate(width / 2, height / 2);
var maxRunLength = 1;
var runLength = 1;
var runCount = n - 2;
var integer = 0;
function step() {
integer++;
// our work is complete
if (integer > max) return false;
// our work was interrupted
if (latest > current) return false;
// transform the geometry
ctx.translate(size, 0);
runLength--;
if (runLength < 1) {
runCount--;
if (runCount < 1) {
runCount = n - 2;
maxRunLength++;
}
runLength = maxRunLength;
ctx.rotate(Math.PI * 2 / n);
}
// perform tests on the integer
// var prime = isPrime(integer + start - 1);
var primeA82 = isA323782(integer + start - 1);
// var primeA83 = isA83(integer + start - 1);
var primeA84 = isA323784(integer + start - 1);
if (primeA82) {
ctx.fillStyle = colors[0];
}
if (primeA84) {
ctx.fillStyle = colors[2];
}
// render primes differently
if (!primeA82 && !primeA84) return;
//ctx.fillStyle = prime ? colors[0] : colors[1];
// render the integer
ctx.fillRect(-size / 2, -size / 2, size, size);
};
d3.timer(function () {
var ii = 10000; // number of integers to render at once
var done = false;
while (ii-- > 0) {
step() ? false : done = true
}
return !done; // if done is true, stop rendering
});
}
/* Primality Testing */
// http://www.javascripter.net/faq/numberisprime.htm
function leastFactor(n) {
if (isNaN(n) || !isFinite(n)) return NaN;
if (n == 0) return 0;
if (n % 1 || n * n < 2) return 1;
if (n % 2 == 0) return 2;
if (n % 3 == 0) return 3;
if (n % 5 == 0) return 5;
var m = Math.sqrt(n);
for (var i = 7; i <= m; i += 30) {
if (n % i == 0) return i;
if (n % (i + 4) == 0) return i + 4;
if (n % (i + 6) == 0) return i + 6;
if (n % (i + 10) == 0) return i + 10;
if (n % (i + 12) == 0) return i + 12;
if (n % (i + 16) == 0) return i + 16;
if (n % (i + 22) == 0) return i + 22;
if (n % (i + 24) == 0) return i + 24;
}
return n;
}
function isPrime(n) {
if (isNaN(n) || !isFinite(n) || n % 1 || n < 2) return false;
if (n == leastFactor(n)) return true;
return false;
}
function isA323782(n) {
if (A323782.includes(n)) return true;
return false;
}
function isA323783(n) {
if (A323783.includes(n)) return true;
return false;
}
function isA323784(n) {
if (A323784.includes(n)) return true;
return false;
}
/* Plot some primes */
plotUlam(ulamN);
/* Interactive Parameters with Dat.Gui*/
var Gui = function () {
this.ulam = ulamN;
this.size = size;
this.max = max;
this.start = start;
this.color1 = colors[0];
this.color2 = colors[1];
};
var field = new Gui();
var gui = new dat.GUI();
var ulam = gui.add(field, 'ulam', 3, 10).step(1);
var sizer = gui.add(field, 'size', 0.5, 6).step(0.5);
var maxer = gui.add(field, 'max', 500, 1e7).step(500);
var starter = gui.add(field, 'start', 1, 1e8).step(1);
var color1 = gui.addColor(field, 'color1');
var color2 = gui.addColor(field, 'color2');
ulam.onChange(function (v) { ulamN = v; plotUlam(ulamN); });
sizer.onChange(function (v) { size = v; plotUlam(ulamN); });
maxer.onChange(function (v) { max = v; plotUlam(ulamN); });
starter.onChange(function (v) { start = v; plotUlam(ulamN); });
color1.onChange(function (v) { colors[0] = v; plotUlam(ulamN); });
color2.onChange(function (v) { colors[1] = v; d3.select("body").style("background", colors[1]); });
};
</script>
<div class="dg ac">
<div class="dg main a" style="-moz-user-select: none; width: 245px;">
<div style="width: 6px; margin-left: -3px; height: 168px; cursor: ew-resize; position: absolute;"></div>
<ul style="height: auto;">
<li class="cr number has-slider">
<div><span class="property-name">ulam</span>
<div class="c">
<div><input type="text" value="4"></div>
<div class="slider">
<div class="slider-fg" style="width: 14.2857%;"></div>
</div>
</div>
</div>
</li>
<li class="cr number has-slider">
<div><span class="property-name">size</span>
<div class="c">
<div><input type="text" value="2"></div>
<div class="slider">
<div class="slider-fg" style="width: 27.2727%;"></div>
</div>
</div>
</div>
</li>
<li class="cr number has-slider">
<div><span class="property-name">max</span>
<div class="c">
<div><input type="text" value="600000"></div>
<div class="slider">
<div class="slider-fg" style="width: 5.9953%;"></div>
</div>
</div>
</div>
</li>
<li class="cr number has-slider">
<div><span class="property-name">start</span>
<div class="c">
<div><input type="text" value="1"></div>
<div class="slider">
<div class="slider-fg" style="width: 0%;"></div>
</div>
</div>
</div>
</li>
<li class="cr string color" style="border-left-color: rgb(255, 195, 68);">
<div><span class="property-name">color1</span>
<div style="-moz-user-select: none;" class="c"><input type="text" style="outline: currentcolor none medium; text-align: center; color: rgb(255, 255, 255); border: 0px none; font-weight: bold; text-shadow: rgba(0, 0, 0, 0.7) 0px 1px 1px; background-color: rgb(255, 195, 68);"
value="#ffc344">
<div class="selector" style="width: 122px; height: 102px; padding: 3px; background-color: rgb(34, 34, 34); box-shadow: rgba(0, 0, 0, 0.3) 0px 1px 3px;">
<div class="field-knob" style="position: absolute; width: 12px; height: 12px; border: 2px solid rgb(255, 255, 255); box-shadow: rgba(0, 0, 0, 0.5) 0px 1px 3px; border-radius: 12px; z-index: 1; margin-left: 66.3333px; margin-top: -7px; background-color: rgb(255, 195, 68);"></div>
<div class="saturation-field" style="width: 100px; height: 100px; border: 1px solid rgb(85, 85, 85); margin-right: 3px; display: inline-block; cursor: pointer; background: rgba(0, 0, 0, 0) -webkit-linear-gradient(left, rgb(255, 255, 255) 0%, rgb(255, 173, 0) 100%) repeat scroll 0% 0%;">
<div style="width: 100%; height: 100%; background: rgba(0, 0, 0, 0) -webkit-linear-gradient(rgba(0, 0, 0, 0) 0%, rgb(0, 0, 0) 100%) repeat scroll 0% 0%;"></div>
</div>
<div class="hue-field" style="width: 15px; height: 100px; display: inline-block; border: 1px solid rgb(85, 85, 85); cursor: ns-resize; background: rgba(0, 0, 0, 0) -webkit-linear-gradient(rgb(255, 0, 0) 0%, rgb(255, 0, 255) 17%, rgb(0, 0, 255) 34%, rgb(0, 255, 255) 50%, rgb(0, 255, 0) 67%, rgb(255, 255, 0) 84%, rgb(255, 0, 0) 100%) repeat scroll 0% 0%;">
<div class="hue-knob" style="position: absolute; width: 15px; height: 2px; border-right: 4px solid rgb(255, 255, 255); z-index: 1; margin-top: 88.6809px;"></div>
</div>
</div>
</div>
</div>
</li>
<li class="cr string color" style="border-left-color: rgb(0, 0, 0);">
<div><span class="property-name">color2</span>
<div style="-moz-user-select: none;" class="c"><input type="text" style="outline: currentcolor none medium; text-align: center; color: rgb(255, 255, 255); border: 0px none; font-weight: bold; text-shadow: rgba(0, 0, 0, 0.7) 0px 1px 1px; background-color: rgb(0, 0, 0);"
value="#000000">
<div class="selector" style="width: 122px; height: 102px; padding: 3px; background-color: rgb(34, 34, 34); box-shadow: rgba(0, 0, 0, 0.3) 0px 1px 3px;">
<div class="field-knob" style="position: absolute; width: 12px; height: 12px; border: 2px solid rgb(255, 255, 255); box-shadow: rgba(0, 0, 0, 0.5) 0px 1px 3px; border-radius: 12px; z-index: 1; margin-left: -7px; margin-top: 93px; background-color: rgb(0, 0, 0);"></div>
<div class="saturation-field" style="width: 100px; height: 100px; border: 1px solid rgb(85, 85, 85); margin-right: 3px; display: inline-block; cursor: pointer; background: rgba(0, 0, 0, 0) -webkit-linear-gradient(left, rgb(255, 255, 255) 0%, rgb(255, 0, 0) 100%) repeat scroll 0% 0%;">
<div style="width: 100%; height: 100%; background: rgba(0, 0, 0, 0) -webkit-linear-gradient(rgba(0, 0, 0, 0) 0%, rgb(0, 0, 0) 100%) repeat scroll 0% 0%;"></div>
</div>
<div class="hue-field" style="width: 15px; height: 100px; display: inline-block; border: 1px solid rgb(85, 85, 85); cursor: ns-resize; background: rgba(0, 0, 0, 0) -webkit-linear-gradient(rgb(255, 0, 0) 0%, rgb(255, 0, 255) 17%, rgb(0, 0, 255) 34%, rgb(0, 255, 255) 50%, rgb(0, 255, 0) 67%, rgb(255, 255, 0) 84%, rgb(255, 0, 0) 100%) repeat scroll 0% 0%;">
<div class="hue-knob" style="position: absolute; width: 15px; height: 2px; border-right: 4px solid rgb(255, 255, 255); z-index: 1; margin-top: 100px;"></div>
</div>
</div>
</div>
</div>
</li>
</ul>
<div class="close-button" style="width: 245px;">Close Controls</div>
</div>
</div>
</body>
</html>