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betarand.html
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<!DOCTYPE html>
<html lang="en-US">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
<title>14400 alternatives to β</title>
<meta name="viewport" content="width=device-width, initial-scale=1">
<script src="js/d3.min.js" charset="utf-8"></script>
<script src="js/jquery.min.js"></script>
<style>
a:active, a:link, a:visited {color: #ff0000;}
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stroke: #696969;
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stroke: #95A5A6;
stroke-width: 2px;
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.node circle {
stroke: #000000;
stroke-width: 1.5px;
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.textClass {
stroke: #fff;
font-weight: normal;
stroke-width: 1.;
font-size: 14px;
}
.demo-info {
padding: 14px 26px;
font-size: 14px;
line-height: 100%;
text-shadow: 0 1px rgba(0, 0, 0, 0.4);
color: #fff;
vertical-align: middle;
text-align: center;
cursor: pointer;
font-weight: bold;
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-webkit-transition: background 0.1s ease-in-out;
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border-radius: 10px;
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.demo-info, .demo-info:hover, .demo-info:active {
outline: 0 none;
text-decoration: none;
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.demo-info-1 {
background-color: #222;
box-shadow: 0px 3px 0px 0px #000;
</style>
</head>
<body style="background-color: #232323; color: #ffffff;">
<h1 style="padding: 14px 26px;"> <a href="http://imar.ro/~mbuliga/genchem.html" target="_blank">go to the explanations page</a> </h1>
<ul>
<li>when we pass from a λ term to its AST, the β rewrite is a particular graph rewrite <b><a href="http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.90.2386&rep=rep1&type=pdf" target="_blank">[J. Lamping (1990)]</a></b></li>
<li> the graph rewrite can be done "conservatively" by two random permutations of the edges' sources and targets.</li>
<li> this way of doing rewrites is part of the working project <a href="https://github.com/mbuliga/hapax" target="_blank">(hapax)</a>, if interested for more see the <a href="http://imar.ro/~mbuliga/hapax.html" target="_blank">(Ackermann(2,2))</a> computation with chemlambda, done with hapax.
</li>
</ul>
<p style="padding: 1px 26px;"> sources (<span style="color: #0033cc;">blue</span>): 1=a, 2=u, 3=v, 4=x, 5=out</p>
<p style="padding: 1px 26px;"> targets (<span style="color: #ffff00;">yellow</span>): 1=a, 2=u, 3=v, 4=B, 5=A</p>
<h1 style="padding: 14px 26px; background-color: #232323; color: #ff0000; cursor: pointer;" onclick="addNodes()">click here for new β</h1>
<p style="padding: 1px 26px;" id="sources"></p>
<p style="padding: 1px 26px;" id="targets"></p>
<table style="padding: 1px 26px;">
<tr>
<td style="text-align: left;" id="newbetaleft"></td>
<td> becomes </td>
<td style="text-align: left;" id="newbetaright"></td>
</tr>
</table>
<div id="gaga"></div>
<ul>
<li> "click here for new β" to get another random rewrite</li>
</ul>
<ul> <li> you can rearrange the nodes, for better reading:
<ul>
<li> click on node to freeze it</li>
<li> drag on node to drag it</li>
<li> doubleclick on node to unfreeze it</li>
</ul>
</li></ul>
<ul> <li>the original β has:
<br> <br>
sources permutation = ( 4 1 5 2 3 ) <br> <br>
targets permutation = ( 1 5 4 2 3 ) <br> <br>
</li>
</li>
</ul>
<br>
<p style="padding: 1px 26px;" ><a rel="license" href="http://creativecommons.org/licenses/by/4.0/"><img alt="Creative Commons License" style="border-width:2" src="cc-by-4-0.png"/></a> M. Buliga, 2019 <br>
</p>
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// var timestep= 500;
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var colorL= "#ff0000";
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// glue color
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var colorGlueNode= "#99c2ff";
// from Mike Bostock, the Fisher-Yates shuffle
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// glue internal half-edges
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var piI = [0, 1, 2, 3, 4];
var targets = ["1_1", "7_1", "8_1", "5_1", "0_1"];
var targetsNames = ["a", "u", "v", "B", "A"];
var targetsShuffle = [];
var targetsNamesShuffle = [];
// var piOO = [0, 1, 2];
var piO = [0, 1, 2, 3, 4];
var sources = ["0_3", "7_3", "8_3", "4_1", "1_3"];
var sourcesNames = ["a", "u", "v", "x", "out"];
var sourcesShuffle = [];
var sourcesNamesShuffle = [];
// do {
// shuffle(piOO, "sources");
shuffle(piO, "sources");
shuffle(piI, "targets");
var al = piI.length;
var jal, jum, jul;
for (jal=0; jal < al; jal++) {
// switch (jal) {
// case 0:
// jum = jal;
// break;
//
// case 4:
// jum = jal;
// break;
//
// default:
// jul = jal - 1;
// jum = piOO[jul] + 1;
// }
jum = piO[jal] + 0;
sourcesShuffle[jum] = sources[jal];
sourcesNamesShuffle[jum] = sourcesNames[jal];
jum = piI[jal] + 0;
targetsShuffle[jum] = targets[jal];
targetsNamesShuffle[jum] = targetsNames[jal];
}
var xxx = sourcesNamesShuffle[0] + " = λ" + sourcesNamesShuffle[3] + ". " + targetsNamesShuffle[4] + "<br>";
xxx = xxx + sourcesNamesShuffle[4] + " = " + targetsNamesShuffle[0] + " " + targetsNamesShuffle[3] + "<br>";
xxx = xxx + sourcesNamesShuffle[1] + " = " + targetsNamesShuffle[1] + " [ " + sourcesNamesShuffle[2] + " / " + targetsNamesShuffle[2] + " ]";
var xx = sourcesNames[0] + " = λ" + sourcesNames[3] + ". " + targetsNames[4] + "<br>";
xx = xx + sourcesNames[4] + " = " + targetsNames[0] + " " + targetsNames[3] + "<br>";
xx = xx + sourcesNames[1] + " = " + targetsNames[1] + " [ " + sourcesNames[2] + " / " + targetsNames[2] + " ]";
document.getElementById("newbetaleft").innerHTML = xx;
document.getElementById("newbetaright").innerHTML = xxx;
// }
// while (targets[0]==="1_1" && sources[0]==="0_3");
keepNodesOnTop();
var step = -1;
function nextval() {
step++;
return 1800 + (500*step); }
// step 1
setTimeout(function() {
graph.removeLink("0_1", "0");
graph.removeLink("5_1", "1_2");
graph.removeLink("7_1", "7");
graph.removeLink("8_1", "8");
graph.removeLink("1_1", "1");
graph.addLink(targetsShuffle[4], "0", "2", colorInEdge);
graph.addLink(targetsShuffle[3], "1_2", "2", colorInEdge);
graph.addLink(targetsShuffle[1], "7", "2", colorInEdge);
graph.addLink(targetsShuffle[2], "8", "2", colorInEdge);
graph.addLink(targetsShuffle[0], "1", "2", colorInEdge);
keepNodesOnTop();
}, nextval());
// step 2
setTimeout(function() {
graph.removeLink("0", "0_3");
graph.removeLink("0_2", "4_1");
graph.removeLink("1", "1_3");
graph.removeLink("7", "7_3");
graph.removeLink("8", "8_3");
graph.addLink("0", sourcesShuffle[0], "2", colorOutEdge);
graph.addLink("0_2", sourcesShuffle[3], "2", colorOutEdge);
graph.addLink("1", sourcesShuffle[4], "2", colorOutEdge);
graph.addLink("7", sourcesShuffle[1], "2", colorOutEdge);
graph.addLink("8", sourcesShuffle[2], "2", colorOutEdge);
keepNodesOnTop();
}, nextval());
// end of function drawGraph()
}
drawGraph();
// because of the way the network is created, nodes are created first, and links second,
// so the lines were on top of the nodes, this just reorders the DOM to put the svg:g on top
function keepNodesOnTop() {
$(".nodeStrokeClass").each(function( index ) {
var gnode = this.parentNode;
gnode.parentNode.appendChild(gnode);
});
}
function addNodes() {
d3.select("svg")
.remove();
drawGraph();
}
</script>
</body>
</html>