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index.html
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<html>
<head>
<title>IEEE-754 Float 64 library.</title>
<meta name="apple-mobile-web-app-capable" content="yes" />
<meta name="apple-mobile-web-app-status-bar-style" content="black" />
<meta name="apple-mobile-web-app-title" content="FL64">
<meta name="viewport" id="vp" content="" />
<link rel="apple-touch-icon" href="/docs/bg/icon.png">
<meta property="og:image" content="https://repository-images.githubusercontent.com/81086272/73a9ee80-65f9-11ea-9cd9-3c14b7503cff" />
<link rel="canonical" href="https://recoskie.github.io/Fl64/" />
<link rel="manifest" href="manifest.json">
<style type="text/css">
<!--
body
{
background-color: #000000;
background-image: url(docs/bg/bg.jpg);
background-repeat: no-repeat;
background-size: cover;
-moz-background-size: cover;
-webkit-background-size: cover;
}
.col { display: flex; flex-direction: column; } .row { display: flex; }
table
{
background-color: rgba(200,200,200,0.50);
}
input[type=button]
{
background-color: rgba(0, 200, 255, 0.50);
}
input[type=text]
{
background-color: rgba(255, 255, 255, 0.50);
}
.cc
{
position: fixed;
left: 0px;
right: 0px;
top: 0px;
bottom: 0px;
z-index: 1;
background: rgba(40, 40, 40, 0.80);
}
.cg
{
position: absolute;
width: 100%;
height: 100%;
left: 0px;
top: 0px;
z-index: 1;
}
.textAreaColumn
{
width: 100%;
}
.c1
{
float: left;
width: 70%;
padding: 0px;
box-sizing: border-box;
}
.c2
{
float: left;
width: 30%;
padding: 0px;
box-sizing: border-box;
}
.textAreaColumn div textarea
{
box-sizing: border-box;
width: 100%;
border: 0px;
min-height: 150px;
}
textarea
{
resize: none;
}
.bitPat1 { width:100%; height:100%; text-align:center; background-color:rgba(255,255,255,0.5); }
.bitPat2 { width:100%; height:100%; }
.bitPat3 { width:100%; height:100%; }
.analFr1 { width:100%; text-align:center; }
.analFr2 { width:100%; }
.bin { width:100%; height:100%; }
#console
{
text-align: left;
background-color:rgba(255,255,255,0.75);
overflow:auto;
}
@media (orientation: landscape)
{
.bitPat1 { font-size:3vw; }
.bitPat2 { font-size:2vw; }
.bitPat3 { font-size:1.3vw; }
.analFr1 { font-size:3.5vw; }
.analFr2 { font-size:2.6vw; }
.bin { font-size:1.75vw; }
.rt { width:100%; height:100%; }
#console { width:29%; height:100%; }
}
@media (orientation: portrait)
{
.bitPat1 { font-size:6vw; }
.bitPat2 { font-size:4vw; }
.bitPat3 { font-size:2.6vw; }
.analFr1 { font-size:7vw; }
.analFr2 { font-size:5.2vw; }
.bin { font-size:3.5vw; }
.rt { width:100%; height:71%; }
#console { width:100%; height:29%; }
}
.wrap{ white-space: -moz-pre-wrap !important; white-space: -webkit-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; white-space: pre-wrap; word-wrap: break-word; word-break: break-all; white-space: normal; }
/***********************************************************************************
Create a menubar for navigation
***********************************************************************************/
.toolBtn { white-space: nowrap; padding: 8px; border: none; cursor: pointer; }
.toolBar { position: relative; display: inline-block; -webkit-touch-callout: none; -webkit-user-select: none; -khtml-user-select: none; -moz-user-select: none; -ms-user-select: none; user-select: none; }
.toolBarI { display: none; position: absolute; background-color: #f9f9f9; min-width: 160px; box-shadow: 0px 8px 16px 0px rgba(0,0,0,0.2); z-index: 1; }
.toolBarI a { color: black; padding: 12px 16px; text-decoration: none; display: block; cursor: pointer; }
.toolBarI a:hover {background-color: #f1f1f1}
.toolBar:hover .toolBarI { display: block; }
.toolBar:hover .toolBtn { box-shadow: 0px 8px 16px 0px rgba(0,0,0,0.2); }
/***********************************************************************************
Safari select drop down list height fix.
***********************************************************************************/
@media screen and (-webkit-min-device-pixel-ratio:0) { select { -webkit-appearance: menulist-button !important; line-height:24px !important; } }
-->
</style>
<script src="FL64.js" type="text/javascript"></script>
<script src="FL64-UI.js" type="text/javascript"></script>
<script src="https://recoskie.github.io/AI-Matrix/AI-Mat.js" type="text/javascript"></script>
<script type="text/javascript">
//Width and height, orientation are important for displaying the page properly.
var w = 0, h = 0, portrait = false;
//Cf is default number analyzer Algorithm.
var alg = -2;
//The main page.
var page = null;
//The new all in one page lets us switch between tool types.
var tool = -1;
//Graphics area, and Graphics object for plotting data.
var gar = null, g2d = null;
//Number analyzer UI components.
var CVerg = null, Fracts = null, Trans = null;
/***********************************************************************************
Body onload initialize page components.
***********************************************************************************/
function init()
{
//Main page used for controlling the current tool.
page = document.getElementById('page');
//Graphics canvas area and graphics context for plotting data.
gar = document.getElementById("gr"); g2d = gar.getContext("2d");
//Setup convergent bar. Note width=100%, height=61%.
CVerg = new CBar("CVerg",100,61);
//Set up Control/Edit factor bar.
Fracts = new FBar("Fracts",100,61);
//Update the convergent bar on creating a new number in FBar.
Fracts.onCreate = function (n)
{
//Update n_ac number.
if( input == 1 && alg <= 0 ) { n_ac = n.calcF(); } else { n_ac = n.calc(); }
//Update input/output.
n = n_ac.splitAll();
CVerg.set(n); this.set(alg <= 0 ? n.limit(CutOff) : (alg == 1 ? new FNumber(n_ac) : new TNumber(n_ac)).limit(CutOff).splitAll());
//Change to number type only.
updateI();
}
//Update output and accuracy comparison.
Fracts.onChange = function (n)
{
//Calculate the accuracy of the value to the Cut off range.
var re = Math.ceil((((-Math.log(Math.abs(1 - (n.primitive() / n_ac.primitive()))) / Math.log(2)) / (52 / (100 / ac))) * 100));
if (re == Infinity || re > 100) { re = 100; }
document.getElementById("r-ac").innerHTML = isNaN(re) ? "?" : re;
//Update output to change.
document.getElementById("r").innerHTML = n + "";
}
//Setup factor transformation bar.
Trans = new TBar("Trans", Fracts);
output = 'Console output.';
}
/***********************************************************************************
A floating point number is incomplete at it's last digit of accuracy.
Thus this creates factors that are partially incomplete
***********************************************************************************/
var ac = 100; //Percentage as an adjustable value.
var CutOff = 1 / Math.pow(2, (52 * (ac / 100))); //The actual cut off range across the binary number.
//Number compared against to test accuracy.
var n_ac = NaN;
/***********************************************************************************
Get input, and check for proper input formats.
Note that it would be wise to combine this.
Originally this was two different get methods that existed between two HTML files.
***********************************************************************************/
function getInput(F1, F2, Int_Float)
{
//Number analyzer input.
if(F1 == undefined)
{
var n = NaN;
if (input == 1)
{
n = new Fract(document.getElementById("f1").value, document.getElementById("f2").value);
}
else
{
n = new Number(document.getElementById("num").value);
}
if (isNaN(n) || Math.abs(n) == Infinity) { alert("Please enter a Number value, or Fraction to split."); }
else
{
n_ac = n;
CVerg.set(n.primitive().splitAll());
Fracts.set((alg <= 0 ? n_ac : alg == 1 ? new FNumber(n_ac) : new TNumber(n_ac)).limit(CutOff).splitAll());
}
return;
}
//All other input types from other other tools.
var num = [null, null];
if (F1 && isNaN(document.getElementById("f1").value + "0")) { console.log(document.getElementById("f1").value + " = Is not an number."); }
else if (F1) { num[0] = Int_Float ? parseInt(document.getElementById("f1").value, 10) : parseFloat(document.getElementById("f1").value, 10); }
if (F2 && isNaN("0" + document.getElementById("f2").value + "0")) { console.log(document.getElementById("f2").value + " = Is not an number."); }
else if (F2) { num[1] = Int_Float ? parseInt(document.getElementById("f2").value, 10) : parseFloat(document.getElementById("f2").value, 10); }
if (isNaN(num[0])) { num[0] = 0; } if (isNaN(num[1])) { num[1] = 0; } return (num);
}
//The update method gets called every time the window is resized or orientation changes.
function update()
{
//First page is the number analyzer.
if(tool == 0)
{
var ng = document.getElementById("group");
if (CVerg.Vertical && !portrait) { ng.innerHTML = "<div id=\"CVerg\" style=\"width:100%;overflow:hidden;\"></div><hr /><div id=\"Fracts\" style=\"width:100%;overflow:hidden;\"></div>"; gar.width=1294; gar.height=800; }
//Else lay the bars out side by side in cells.
else if (!CVerg.Vertical && portrait) { ng.innerHTML = "<table style='height:61%;'><tr><td style='height:100%;'><div id=\"CVerg\" style=\"height:100%;overflow:hidden;\"></div></td><td style='height:100%;'><div id=\"Fracts\" style=\"height:100%;overflow:hidden;\"></div></td></tr></table>"; gar.height=1294; gar.width=800; }
//Update the page elements to proper width and height and dimensions.
CVerg.auto(w,h); Fracts.auto(w,h);
//Replot the canvas.
if( document.getElementById('g').hidden == false ) { plot(); }; return;
}
//Use flex in landscape mode. Note code page does not allow flex, and help/documentation uses colored div.
document.getElementById("r").style="width:100%;height:100%;" + ((!portrait && tool < 6) ? "display:flex;" : "") + (tool==7 ? "background-color:rgba(255,255,255,0.75);" : "");
//We have to manually set the height for the button properly.
if( tool == 2 ) { document.getElementsByClassName("analFr2")[0].style="height:" + ((portrait ? ( h / 3 ) : (h-64) - ( w / 11 ))&-1) + "px;"; }
}
//Load an example.
var sq = 2, tanh = 3, pat = 1;
function LoadExample(type)
{
var sing = type < 0 ? -1 : 1, type = Math.abs(type) || 0;
if( alg <= 0 )
{
if (type == 0)
{
document.getElementById("Exp").innerHTML = "<table border='1'><tr><td rowspan='3'>Load Example:</td>\
<td><input type='button' value='Golden Ratio' onclick='LoadExample(1);' /><input type='button' value='-Golden Ratio' onclick='LoadExample(-1);' /></td>\
<td><input type='button' value='Natural LOG' onclick='LoadExample(2);' /><input type='button' value='-Natural LOG' onclick='LoadExample(-2);' /></td>\
<td><input type='button' value='√"+ sq + "' onclick='LoadExample(4);' /><input type='button' value='-√"+ sq + "' onclick='LoadExample(-4);' />\
<input type='button' value='↑' onclick='sq++;LoadExample();' /><input type='button' value='↓' onclick='sq=Math.max(1,sq-1);LoadExample();' /></td></tr>\
<tr><td><input type='button' value='Pattern " + pat + "' onclick='LoadExample(6);' /><input type='button' value='-Pattern " + pat + "' onclick='LoadExample(-6);' />\
<input type='button' value='↑' onclick='pat=Math.min(9,pat+1);LoadExample();' /><input type='button' value='↓' onclick='pat=Math.max(1,pat-1);LoadExample();' /></td>\
<td><input type='button' value='tanh(1 ÷ "+ tanh + " )' onclick='LoadExample(5);' /><input type='button' value='-tanh(1 ÷ "+ tanh + " )' onclick='LoadExample(-5);' />\
<input type='button' value='↑' onclick='tanh++;LoadExample();' /><input type='button' value='↓' onclick='tanh=Math.max(1,tanh-1);LoadExample();' /></td>\
<td><input type='button' value='PI' onclick='LoadExample(3);' /><input type='button' value='-PI' onclick='LoadExample(-3);' /></td></tr><tr><td colspan='3'><input type='button' value='Math.random() = Solve Random Value' onclick='LoadExample(911);' style='width:100%;' /></td></tr></table>";
}
else
{
//Solve the golden ratio.
if (type == 1)
{
var n = ( 1.618033988749895 * sing ).limit(CutOff); if (input == 1) { n = n.getFract(); }
n_ac = n.primitive(); CVerg.set(n.splitAll());
n = n.split(); Fracts.set(n);
Trans.index = 0; Trans.set([sing], [1]);
}
//Solve the natural logarithm.
else if (type == 2)
{
var n = ( 2.718281828459045 * sing ).limit(CutOff); if (input == 1) { n = n.getFract(); }
n_ac = n.primitive(); CVerg.set(n.splitAll());
n = n.setA(0, 2 * sing); Fracts.set(n);
Trans.index = 1; Trans.set([(alg == -2 ? 1 : 2) * sing, sing], [alg == -2 ? 1 : 3, 1]);
}
//Solve the number PI.
else if (type == 3)
{
var n = ( Math.PI * sing ).limit(CutOff); if (input == 1) { n = n.getFract(); }
n_ac = n.primitive(); CVerg.set(n.splitAll());
n = n.setA(0, 3 * sing); Fracts.set(n);
Trans.index = 1; Trans.set([6 * sing, 0, 0], [9, 16, 8]);
}
//Solve a Square root.
else if (type == 4)
{
var n = ( Math.pow(sq, 0.5) * sing ).limit(CutOff); if (input == 1) { n = n.getFract(); }
n_ac = n.primitive(); CVerg.set(n.splitAll());
var a = Math.floor(n.primitive() * sing), b = sq - (a * a);
n.length = 0; n = n.split(a * sing, b); Fracts.set(n);
if (n != 0)
{
Trans.index = 1; Trans.set([a * 2 * sing], [b]);
}
else { Trans.reset(); }
}
//Solve the hyperbolic function.
else if (type == 5)
{
var n = ( Math.tanh(1 / tanh) * sing ).limit(CutOff); if (input == 1) { n = n.getFract(); }
n_ac = n.primitive();
CVerg.set(n.splitAll());
n = n.setA( 0, 0 ); Fracts.set(n);
Trans.index = 1; Trans.set([tanh * sing, tanh * 2 * sing ], [1, 0]);
}
//Solve base 10 irrational pattern.
//Note we can do the same operation in binary, or hexadecimal.
else if (type == 6)
{
var base = 10;
dif = Math.floor(Math.log(pat)/Math.log(base));
for( var n1 = dif, n2 = 0, n = 0; n1 < 6; n1++, n2 += n1 ) { n += Math.pow(base, -n2) * pat; }
n = n * sing; if (input == 1) { n = n.getFract(); }
n = n.limit(CutOff);
n_ac = n.primitive();
CVerg.set(n.splitAll());
n = n.setA(0, pat * sing); n = n.setB(0, pat);
if( alg == -2 )
{
n = n.setA(1, base * sing); n = n.setB(1, -base);
eval("var a = function(x)\r\n{\r\n return( " + (sing < 0 ? "-" : "") + "Math.pow( " + base + ", x + 1 ) " + (sing < 0 ? "-" : "+") + " 1 );\r\n}, b = function(x)\r\n{\r\n return( -Math.pow( " + base + ", x + 1 ) );\r\n}");
}
else
{
eval("var a = function(x)\r\n{\r\n return( " + (sing < 0 ? "-" : "") + "Math.pow( " + base + ", ((x+2)/3)&-1 ) " + (sing < 0 ? "+" : "-") + " 1 );\r\n}, b = function(x)\r\n{\r\n return( Math.pow( " + base + ", ((x+2)/3)&-1 ) - 1 );\r\n};");
}
Fracts.set(n);
Trans.index = alg == -2 ? 2 : 1;
Trans.setF(a,b);
}
//Solve an random value.
else if (type == 911)
{
ac = 80; setAC();
n = rand(); var ta = n[2], tb = n[3], sc = n[1], n = n[0];
n=n.limit(CutOff); if (input == 1) { n = n.getFract(); }
n_ac = n.primitive();
CVerg.set(n.splitAll());
Fracts.set(n);
n.setB(0,sc); n.setA(0,0);
Trans.index = 1; Trans.set(ta,tb);
}
}
}
else if( alg == 1 )
{
if (type == 0)
{
document.getElementById("Exp").innerHTML = "<table border='1'><tr><td>Load Example:</td><td><input type='button' value='Natural LOG' onclick='LoadExample(1);' /><input type='button' value='-Natural LOG' onclick='LoadExample(-1);' /></td><td><input type='button' value='PI' onclick='LoadExample(2);' /><input type='button' value='-PI' onclick='LoadExample(-2);' /></td></table>";
}
//Solve the natural logarithm.
if (type == 1)
{
ac = 44; setAC();
n = new FNumber( 2.718281828459045 * sing ).limit(CutOff);
n_ac = n.primitive();
CVerg.set(n.splitAll());
Fracts.set(n);
eval("var a = function(x)\r\n\{\r\n\ return(x);\r\n\}; var b = function(x)\r\n\{\r\n\ for(var i = 0, pf = 1; i < x; pf*=(++i));\r\n\ return( pf );\r\n\};");
Trans.index = 0; Trans.setF(a,b);
}
//Solve the number PI.
if (type == 2)
{
ac = 44; setAC();
n = new FNumber(Math.PI * sing).limit(CutOff);
n_ac = n.primitive();
CVerg.set(n.primitive().splitAll());
Fracts.set(n);
Trans.index = 0; Trans.set([8,0,0],[3,32,32]);
}
}
else if( alg == 2 )
{
if (type == 0)
{
document.getElementById("Exp").innerHTML = "<table border='1'><tr><td>Load Example:</td><td><input type='button' value='PI' onclick='LoadExample(1);' /><input type='button' value='-PI' onclick='LoadExample(-1);' /></td></table>";
}
else
{
//Solve the number PI.
if (type == 1)
{
ac = 44; setAC();
n = new TNumber(Math.PI * sing).limit(CutOff);
n_ac = n.primitive();
CVerg.set(n.primitive().splitAll());
Fracts.set(n);
Trans.index = 0; Trans.set([4,0],[1,2]);
}
}
}
//Update input type.
updateI();
}
//Adjust the cut off range and accuracy.
function setAC()
{
CutOff = 1 / Math.pow(2, (52 * (ac / 100)));
if (!isNaN(Fracts.get())) { Fracts.set(Fracts.get().limit(CutOff)); }
document.getElementById("ac").innerHTML = ac + "";
}
function changeAlg(s)
{
alg = s - 2; cfAdj(alg == -1 || alg == 0, alg == 0);
Fracts.update(true); Trans.reset();
if( !isNaN(n_ac) )
{
if( alg <= 0 )
{
Fracts.set((input == 0 ? new Number(n_ac.primitive()) : new Fract(n_ac.x, n_ac.y)).limit(CutOff).splitAll());
}
else
{
n_ac = n_ac.primitive();
Fracts.set((alg == 1 ? new FNumber(n_ac) : new TNumber(n_ac)).limit(CutOff).splitAll());
}
}
else
{
Fracts.set(alg <= 0 ? n_ac : alg == 1 ? new FNumber(n_ac) : new TNumber(n_ac));
}
update(true); LoadExample();
}
//Change the input method.
var input = 0; function updateI(i)
{
input = i || input;
var x = "Number Value", y = "Number Value";
if (input == 1)
{
if (!isNaN(n_ac))
{
if( !n_ac.x ) { n_ac = n_ac.primitive().getFract(); }
x = n_ac.x; y = n_ac.y;
}
document.getElementById("in").innerHTML = '<input id="f1" type="text" value="' + x + '" onclick="this.select();">÷<input id="f2" type="text" value="' + y + '" onclick="this.select();">';
}
else
{
document.getElementById("in").innerHTML = '<input type="text" style="width:75%;" id="num" value="' + ( isNaN(n_ac) ? x : n_ac ) + '" onclick="this.select();">';
}
}
function plot()
{
document.getElementById("g").hidden = false;
var f = Fracts.get();
//min/max value in set A and B.
var amx = f.a[0], amn = f.a[0];
var bmx = f.b[0], bmn = f.b[0];
for( var i = 1; i < f.length; i++ )
{
if( amx < f.a[i] ){ amx = f.a[i]; }
if( amn > f.a[i] ){ amn = f.a[i]; }
if( bmx < f.b[i] ){ bmx = f.b[i]; }
if( bmn > f.b[i] ){ bmn = f.b[i]; }
}
//Range of movement in set A and B.
var arng = amx - amn;
var brng = bmx - bmn;
//begin the plotting function.
g2d.beginPath();
var fc = (f.length-1)/1252;
g2d.strokeStyle = "#00FF00";
g2d.fillStyle = "#0000FF"
g2d.font = "40px Arial";
g2d.lineWidth = 3;
if( portrait )
{
//Draw rects.
g2d.clearRect(0,0,800,1294);
g2d.strokeRect(0,0,400,1294);
g2d.strokeRect(400,0,400,1294);
g2d.strokeRect(0,0,400,40);
g2d.strokeRect(400,0,400,40);
g2d.fillText("A", 185, 35);
g2d.fillText("B", 585, 35);
g2d.stroke();
//Plot
g2d.strokeStyle = "#FF0000";
var aCenter = amx - (arng / 2);
var axc = -198.5 / (aCenter - amn);
var bCenter = bmx - (brng / 2);
var bxc = -198.5 / (bCenter - bmn);
if( !isFinite(axc) ){ axc = 1; }
if( !isFinite(bxc) ){ bxc = 1; }
g2d.moveTo((200.5+((aCenter - f.a[0])*axc))&-1,41);
for(var i = 1, p = 0; i < 1252; p=(fc*(i++)+0.5)&-1 )
{
g2d.lineTo((200.5+((aCenter - f.a[p])*axc))&-1,i+41);
}
g2d.moveTo(600.5+(((bCenter - f.b[0])*bxc))&-1,41);
for(var i = 1, p = 0; i < 1252; p=(fc*(i++)+0.5)&-1 )
{
g2d.lineTo((600.5+((bCenter - f.b[p])*bxc))&-1,i+41);
}
}
else
{
//Draw rects.
g2d.clearRect(0,0,1294,800);
g2d.strokeRect(40,0,1254,400);
g2d.strokeRect(40,400,1254,400);
g2d.strokeRect(0,0,40,400);
g2d.strokeRect(0,400,40,400);
g2d.fillText("A", 5, 215);
g2d.fillText("B", 5, 615);
g2d.stroke();
//Plot
g2d.strokeStyle = "#FF0000";
var aCenter = amx - (arng / 2);
var axc = 198.5 / (aCenter - amn);
var bCenter = bmx - (brng / 2);
var bxc = 198.5 / (bCenter - bmn);
if( !isFinite(axc) ){ axc = 1; }
if( !isFinite(bxc) ){ bxc = 1; }
g2d.moveTo(41,(200.5+((aCenter - f.a[0])*axc))&-1);
for(var i = 1, p = 0; i < 1252; p=(fc*(i++)+0.5)&-1 )
{
g2d.lineTo(i+41,(200.5+((aCenter - f.a[p])*axc))&-1);
}
g2d.moveTo(41,(600.5+((bCenter - f.b[0])*bxc))&-1);
for(var i = 1, p = 0; i < 1252; p=(fc*(i++)+0.5)&-1 )
{
g2d.lineTo(i+41,(600.5+((bCenter - f.b[p])*bxc))&-1);
}
}
g2d.stroke(); g2d.closePath();
}
function reset()
{
var n = alg <= 0 ? NaN : alg == 1 ? new FNumber() : new TNumber();
Fracts.set(n); Trans.reset();
CVerg.set(n.primitive());
n_ac = n.primitive();
update();
}
function adjAC()
{
if( v = prompt("Percentage you want to cut the number off at.") )
{
if( isNaN( v = parseInt(v, 10) ) )
{
alert("Please enter an valid Number!"); return;
}
}
ac = Math.min(Math.max(v,1),100); setAC();
}
//Create and align random numbers.
function rand()
{
function align(e)
{
var s = e.slice();
if( s.length > 4 ) { s[4] = s[4] / 24; s[3] -= s[4] * 60; s[2] -= s[4] * 50; s[1] -= s[4] * 15; s[0] -= s[4]; }
if( s.length > 3 ) { s[3] = s[3] / 6; s[2] -= s[3] * 12; s[1] -= s[3] * 7; s[0] -= s[3]; }
if( s.length > 2 ) { s[2] = s[2] / 2; s[1] -= s[2] * 3; s[0] -= s[2]; }
if( s.length > 1 ) { s[0] -= s[1]; }
return( new DSet( s, [ 0 ], [ 0, 0 ] ) );
}
var dims = ((Math.random() * 3)+1) & -1, m1 = [], m2 = [], ta = [], tb = [];
var r1 = 100, r2 = 1;
for(var i = 0; i < dims; i++)
{
m1[i] = ((Math.random()*r1)+r2) & -1;
m2[i] = ((Math.random()*r1)+r2) & -1;
}
ta = align(m1); tb = align(m2);
var n = ((NaN).split(0,1).Trans(1,ta.getFunc(),tb.getFunc())), sc = n.b[1]; n = n.calc();
sc = (alg == 0 ? Math.min(sc,1/n) : 1/n) & -1;
var sc = (Math.random()*sc+1) & -1;
return([n*sc,sc,m1,m2]);
}
/***********************************************************************************
Analyze Fractions, and compare Float 64 binary patterns.
***********************************************************************************/
function analyzeFract(force)
{
console.clear(); var num = getInput(true, true, true), fract = new Fract(num[0], num[1]);
dataOut("Smallest fraction by pattern."); dataOut("Fraction:", fract.toString());
//Find the Division pattern.
try
{
var pat = fract.divP(force), pat_f = new Fract();
//Show the bit pattern.
dataOut("Binary Divide Pattern:", (pat + " Repeats to Infinity."));
//Convert the bit pattern into divide.
pat_f = pat.getFract(); dataOut("Pattern to Fraction:", pat_f.toString());
//Convert Float value, and division pattern to smallest fraction.
pat_f = pat.toFract(fract); dataOut("Calc (Float÷Pat)Exp:", pat_f.toString() + " = " + pat_f + "");
}
catch( e )
{
dataErr("Simulated Divide to Bit Pattern:", e.data);
}
/***********************************************************************************
Divide the fraction for real, and decode the real mantissa.
***********************************************************************************/
var float = fract.valueOf().bits().toString(2);
dataOut("Binary comparison to Binary divide pattern.");
dataOut("Normal divide:", (fract.toString() + "=" + fract));
dataOut("Float64 in Binary:", float);
dataOut("Float64 Sing Section:", float.charAt(0));
dataOut("Exponent Section:", float.substring(1, 12));
dataOut("Mantissa Section:", float.substring(12, 64));
dataOut("Compare fraction value in different number bases.");
for (var i = 2; i < 37; dataOut("Base " + i, fract.valueOf().toString(i++)));
updateData();
}
/***********************************************************************************
Convert an given set of digits to division bit pattern.
***********************************************************************************/
function patToDiv()
{
console.clear(); var base = parseInt(document.getElementById("b1").value), data = new Pattern(document.getElementById("f1").value, base);
if (data != "")
{
dataOut("Translation.");
dataOut("Divide Pattern:", data);
var n = data.getFract();
dataOut("Decode pattern back to ?/? = pat:", n.toString());
dataOut("Test divide pattern.");
dataOut("Division:", n.toString());
//Find the Division pattern.
var data = n.divP(base);
//Show the bit pattern.
if (data === "") { data.pop(); dataErr("Divide to Pattern:", data); data = [null]; }
else { dataOut("Divide to Pattern:", data); }
}
else
{
dataOut("Your Input contains characters outside of base" + base + " range.");
dataOut('Only numbers "0 to ' + (Math.min(10, base) - 1) + (base > 10 ? (base === 11 ? ' and "A' : '" and alphabet "A to ' + String.fromCharCode(0x36 + base)) : "") + '" are Acceptable.');
}
updateData();
}
/***********************************************************************************
Convert Float To, and from binary.
***********************************************************************************/
function convert(mode, fr)
{
var b1 = "", b2 = "", floatBase = new Number(document.getElementById("b1").value), decodeBase = new Number(document.getElementById("b2").value);
if (mode === 0)
{
var f = parseFloat(document.getElementById("f1").value, floatBase);
if (isNaN(f))
{
console.clear(); dataOut('Only numbers "0 to ' + (Math.min(10, floatBase) - 1) + (floatBase > 10 ? (floatBase == 11 ? ' and "A' : '" and alphabet "A to ' + String.fromCharCode(0x36 + floatBase)) : "") + '" are Acceptable.');
updateData(); return;
}
else if (b1 != document.getElementById("f1").value || fr)
{
b1 = document.getElementById("f1").value;
document.getElementById("ac").value = "Most Accurate Value = " + f.toString(floatBase, true);
document.getElementById("f2").value = b2 = f.bits().toString(decodeBase);
}
}
if (mode === 1)
{
if (b2 != document.getElementById("f2").value || fr)
{
b2 = document.getElementById("f2").value;
var f = parseNumber(b2 = document.getElementById("f2").value, decodeBase);
if (f === undefined)
{
console.clear(); dataOut('Only numbers "0 to ' + (Math.min(10, decodeBase) - 1) + (decodeBase > 10 ? (decodeBase == 11 ? ' and "A' : '" and alphabet "A to ' + String.fromCharCode(0x36 + decodeBase)) : "") + '" are Acceptable.');
updateData(); return;
}
else
{
document.getElementById("f2").value = f.toString(decodeBase);
document.getElementById("ac").value = "Most Accurate Value = " + f.valueOf().toString(floatBase, true);
document.getElementById("f1").value = b1 = f.valueOf().toString(floatBase);
}
}
}
}
/***********************************************************************************
Convert Float from binary to fraction.
***********************************************************************************/
function binToPatToFract()
{
console.clear(); var f = new Fract(), pat = new Pattern(), val = 0;
//Float to binary.
if ((val = getInput(true, false, false)[0]) !== null) { val = val.bits(); }
//The sections of the float number.
dataOut("Float to Binary.");
var s = val.toString(2);
dataOut("Float64 in Binary:", s);
dataOut("Float64 Sing Section:", s.charAt(0));
dataOut("Exponent Section:", s.substring(1, 12));
dataOut("Mantissa Section:", s.substring(12, 64));
//Conversion result.
dataOut("Convert float value.");
dataOut("Mantissa Bit pattern count:", (pat = val.toPattern(2)) + "");
f = pat.avgFract();
dataOut("Closest Average division pattern:", f.toString() + "");
try
{
pat = f.divP();
dataOut("Division Pattern:", pat + " Repeats to Infinity.");
f = pat.toFract(val);
dataOut("Calc (Float÷Pat)Exp:", f.toString() + " = " + f + "");
}
catch(e) { dataErr("Divided to Pattern timed out:", e.data); }
updateData();
}
/***********************************************************************************
Divide float to find it's divide pattern then convert to fraction.
***********************************************************************************/
function divToFract()
{
console.clear(); var f = new Fract(), pat = new Pattern(), val = 0;
//Float to binary.
if ((val = getInput(true, false, false)[0]) === null) { return; }