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table.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<title>multiplication</title>
<style type="text/css" media="screen">
html {
height: 100%;
}
body {
background: -webkit-linear-gradient(45deg, #cde 0%,#345 100%);
background: -moz-linear-gradient(45deg, #cde 0%,#345 100%);
}
#message { height: 40px;}
#layout {
width: 578px;
margin: 60px auto;
}
#problem-container {
width: 360px;
margin-right: 10px;
-webkit-border-radius: 10px;
-moz-border-radius: 10px;
border: 1px solid #abc;
height: 200px;
position: relative;
background-color: #d0cfc5;
box-shadow: inset 0px 3px 7px #000;
overflow: hidden;
float: left;
}
.problem {
-webkit-border-radius: 10px;
-moz-border-radius: 10px;
font-family: Georgia, serif;
font-size: 80px;
line-height: 185px;
width: 360px;
height: 200px;
text-align: center;
top: -200px;
position: absolute;
}
.screen {
z-index: 2;
top: 0;
-webkit-border-radius: 10px;
-moz-border-radius: 10px;
border: 1px solid #666;
position: absolute;
background: -webkit-linear-gradient(top, rgba(255,255,255,.9) 0%,rgba(255,255,255,0.32) 51%,
rgba(255,255,255,0) 56%,rgba(255,255,255,0) 100%);
background: -moz-linear-gradient(top, rgba(255,255,255,.9) 0%,rgba(255,255,255,0.32) 51%,
rgba(255,255,255,0) 56%,rgba(255,255,255,0) 100%);
}
#problem-screen {
width: 358px;
height: 198px;
}
#answer-screen {
opacity: .4;
height: 198px;
width: 198px;
}
#answer-container {
position: relative;
width: 200px;
height: 200px;
-webkit-border-radius: 10px;
-moz-border-radius: 10px;
overflow: hidden;
border: 1px solid #234;
float: left;
background: -webkit-linear-gradient(#123 0%,#468 100%);
background: -moz-linear-gradient(#123 0%,#468 100%);
margin-bottom: 10px;
}
#answer {
height: 150px;
width: 200px;
}
#stats-container {
position: relative;
width: 576px;
height: 110px;
}
#mastery-container { width: 200px; }
#mastery-chart-container { width: 120px; margin-right: 10px; }
#history-container { width: 228px; margin-right: 10px; }
#mastery-container, #mastery-chart-container, #history-container {
height: 110px;
float: left;
-webkit-border-radius: 5px;
-moz-border-radius: 5px;
position: relative;
overflow: hidden;
border: 1px solid rgba(34,52,68,1);
background: -webkit-linear-gradient(#456 0%,#468 100%);
background: -moz-linear-gradient(#456 0%,#468 100%);
}
#mastery-screen, #mastery-chart-screen, #history-screen {
opacity: .1;
height: 108px;
width: 300px;
}
#mastery-chart-container { width: 118px; }
#chart, #chart-back {
text-align: center;
position: absolute;
width: 118px;
height: 110px;
top: 2px;
}
#chart div, #chart-back div {
margin: 0;
height: 7px;
}
#chart span, #chart-back span {
height: 5px;
width: 5px;
display: inline-block;
-webkit-border-radius: 5px;
-moz-border-radius: 5px;
margin: 1px;
}
#chart {
opacity: .7;
}
#chart span {
background-color: #64ffff;
box-shadow: 0px 0px 3px #64ffff;
opacity: 0;
}
#chart-back span {
background-color: #000;
opacity: .15;
}
#history, #history-back {
text-align: center;
position: absolute;
width: 228px;
height: 110px;
top: 10px;
opacity: .7;
}
#history span, #history-back span {
height: 92px;
width: 4px;
display: inline-block;
-webkit-border-radius: 5px;
-moz-border-radius: 5px;
margin: 0 1px 0 2px;
}
#history span {
background-color: #64ffff;
box-shadow: 0px 0px 3px #64ffff;
}
#history-back span {
background-color: #000;
opacity: .15;
}
#timer, #timer-back {
text-align: center;
position: absolute;
width: 200px;
top: 154px;
}
#timer span, #timer-back span {
height: 8px;
width: 8px;
margin: 0 10px;
display: inline-block;
-webkit-border-radius: 5px;
-moz-border-radius: 5px;
}
#timer-back span {
background-color: #000;
opacity: .15;
}
#timer span {
background-color: #64ffff;
box-shadow: 0px 0px 7px #64ffff;
opacity: 0;
}
.help {
font: Georgia,serif;
font-size: 14px;
text-align: center;
padding-top: 25px;
color: #443;
position: absolute;
width: 100%;
z-index: 1;
top: -200px;
}
#help-0 {
top: 0px;
}
.help p {
margin: 0 0 4px;
}
.help p.text {
text-align: justify;
color: #000;
padding: 0 20px;
margin: 0 0 8px;
}
.help h1 {
font-weight: normal;
font-size: 28px;
margin-bottom: 16px;
color: #000;
}
.help h2 {
height: 22px;
font-weight: bold;
font-style: italic;
font-size: 20px;
margin-bottom: 14px;
color: #433;
}
#focus-warning {
clear: both;
text-align: center;
color: rgba(255,255,255,.5);
font-family: Helvetica,sans-serif;
margin-top: 40px;
display: inline-block;
width: 100%;
display: none;
}
#clicktrap {
position: absolute;
top: 0;
bottom: 0;
left: 0;
width: 100%;
background: none;
border: none;
margin: 0;
padding: 0;
color: rgba(0,0,0,0);
outline: none;
}
strong { font-weight: bold; }
</style>
<script type="text/javascript" charset="utf-8">
function el(id) { return document.getElementById(id); }
function range(n,f) { var a=[]; for (var i=0; i<n; i++) a.push(f(i)); return a; }
function remove(id) { var e = el(id); if (e) e.parentNode.removeChild(e); }
var MAX_FACTOR = 12;
var SECONDS_PER_QUESTION = 5;
var QUESTIONS_PER_GRAPH_TICK = 10;
var MASTERY_WEIGHT = 1.2;
var currentProblem;
var answer = '';
var problemIndex=0;
var helpIndex = 0;
var timerInterval;
var testing = false;
var paused = true;
var currentStats;
var profile;
var lastHash;
/* TODO:
set difficulty (time) with: #level[n]:[name] ?
Correct and incorrect sounds
*/
function init() {
el('clicktrap').onkeydown = handleKey;
setInterval( function() {
if ( lastHash === undefined ) return lastHash = document.location.hash;
if ( (paused || testing) && document.location.hash != lastHash ) {
reset();
if ( ! paused ) togglePause();
lastHash = document.location.hash;
}
}, 50 );
el('clicktrap').onblur = function() { el('focus-warning').style.display='inline-block'; }
el('clicktrap').onfocus = function() { el('focus-warning').style.display='none'; }
// create timer dots
for ( var i=0; i<SECONDS_PER_QUESTION; i++) {
var dot = document.createElement('SPAN'); dot.id='timer-'+i; el('timer').appendChild(dot);
dot = document.createElement('SPAN'); el('timer-back').appendChild(dot);
}
// create chart dots
for ( var i=0; i<=MAX_FACTOR; i++ ) {
var row = document.createElement('DIV'), rowback = document.createElement('DIV');
for ( var j=0; j<=MAX_FACTOR; j++ ) {
var point = document.createElement('SPAN'); point.id='chart-'+i+'-'+j; row.appendChild(point);
point = document.createElement('SPAN'); rowback.appendChild(point);
}
el('chart').appendChild( row );
el('chart-back').appendChild( rowback );
}
// create history bars
for ( var i=0; i < 30; i++ ) {
var bar = document.createElement('SPAN'); bar.id='history-'+i; el('history').appendChild(bar);
bar = document.createElement('SPAN'); el('history-back').appendChild(bar);
}
reset();
el('clicktrap').focus();
}
function reset() {
// load or create stats
profile = (document.location.hash || ( window.localStorage && localStorage.lastProfile ) || 'default').replace('#','');
if ( profile.match(/^clear:/) ) {
profile = profile.match(/^clear:(.*)$/)[1];
if ( window.localStorage ) delete localStorage['stats-'+profile];
}
if ( window.localStorage && localStorage['stats-'+profile] ) {
currentStats = JSON.parse(localStorage['stats-'+profile]);
} else {
currentStats = { answers:range(30,function(){return 0;}), mastery:range(30,function(){return 0;}), count:0 };
if ( window.localStorage ) localStorage['stats-'+profile] = JSON.stringify(currentStats);
}
if ( window.localStorage ) localStorage.lastProfile = profile;
if ( profile != 'default' && document.location.hash != '#'+profile )
document.location.hash = profile;
// draw all stats
renderMastery();
for ( var i=0; i<=MAX_FACTOR; i++ ) {
for ( var j=0; j<=MAX_FACTOR; j++ ) {
el('chart-'+i+'-'+j).style.opacity = problemMastery(i,j);
}
}
// help text
el('profile').innerHTML = profile == 'default' ? '' : '― '+profile.charAt(0).toUpperCase() + profile.slice(1)+' ―';
// answer background
answer = '';
renderAnswer();
window.focus();
}
function handleKey( event ) {
event = event || window.event;
var code = event.keyCode || event.which;
if ( ! testing && ! paused ) return ( code != 8 );
if ( code >= 48 && code < 58 && answer.length < 3 ) {
answer = (answer || '') + (code - 48);
renderAnswer();
testAnswer();
return false;
} else if ( code == 8 && answer.length ) {
answer = answer.substring(0,answer.length-1);
renderAnswer();
return false;
} else if ( code == 32 ) {
togglePause();
return false;
} else if ( code == 40 ) {
pageHelp();
return false;
}
return true;
}
function togglePause() {
if ( paused ) {
nextProblem();
paused = false;
} else {
answer = '';
renderAnswer();
stopTimer();
var problemId = 'problem-'+problemIndex;
flipCards( problemId, 'help-0', function() { remove(problemId); })
helpIndex = 0;
paused = true
}
}
function pageHelp() {
var nextHelp = (helpIndex+1)%3;
flipCards( 'help-'+helpIndex, 'help-'+nextHelp );
helpIndex = nextHelp;
}
function nextProblem( ) {
var previousProblemId = 'problem-'+problemIndex;
currentProblem = factors();
var newProblem = document.createElement('div');
newProblem.setAttribute('class','problem');
newProblem.id = 'problem-'+(++problemIndex);
newProblem.innerHTML = currentProblem[0] + ' × ' + currentProblem[1] + ' =';
el('problem-container').appendChild( newProblem );
if ( paused )
flipCards( 'help-'+helpIndex, newProblem.id );
else
flipCards( previousProblemId, newProblem.id, function() { remove(previousProblemId); } );
answer = '';
renderAnswer();
startTimer();
}
function flipCards( oldId, newId, completeHandler ) {
var animation = ComplexAnimation( 60 ), duration = .25;
animation.add( 0, duration, newId, 'top', -el('problem-container').offsetHeight, 0, BOUNCE_EASING );
animation.add( 0, duration, oldId, 'top', 0, el('problem-container').offsetHeight, BOUNCE_EASING );
animation.start( completeHandler );
}
function factors() {
// add each problem to chooser weighted by mastery
var c = Chooser();
for (var i=0; i<=MAX_FACTOR; i++) for (var j=0; j<=MAX_FACTOR; j++) c.add([i,j],Math.pow(MASTERY_WEIGHT-problemMastery(i,j),4));
return c.choose();
}
function testAnswer( timesUp ) {
if ( parseInt(answer) == currentProblem[0] * currentProblem[1] ) {
stopTimer();
mark( currentProblem, true );
renderAnswer( true );
renderMastery(currentProblem);
testing = false;
setTimeout( nextProblem, 1000 );
} else if ( timesUp ) {
answer = ''+(currentProblem[0] * currentProblem[1]);
mark( currentProblem, false );
renderMastery(currentProblem);
renderAnswer( false );
testing = false;
setTimeout( nextProblem, 3000 );
}
}
function mark( problem, correct ) {
var i=problem[0], j=problem[1], index=i*(MAX_FACTOR+1)+j, blockindex=(index/6)|0, subindex=(index%6)*5, a = currentStats.answers;
var record = (a[blockindex] >> subindex) & 0x1f;
record = ((record << 1) | ( correct ? 1 : 0 )) & 0x1f;
a[blockindex] = (a[blockindex] & ~(0x1f<<subindex)) | (record << subindex);
currentStats.count++;
if ( currentStats.count % QUESTIONS_PER_GRAPH_TICK == 0 )
currentStats.mastery = currentStats.mastery.slice(1).concat( [mastery()] );
if ( window.localStorage ) localStorage['stats-'+profile] = JSON.stringify(currentStats);
}
function mastery() {
var count = 0;
for (var a=currentStats.answers,i=0,l=a.length,n;n=a[i],i<l;i++) while(n) { count+=(n&1); n>>=1; }
return count / ((MAX_FACTOR+1)*(MAX_FACTOR+1)*5);
}
function problemMastery( i, j ) {
var index = i*(MAX_FACTOR+1) + j, blockindex = (index/6)|0, subindex=(index%6)*5, a = currentStats.answers;
var record = (a[blockindex] >> subindex) & 0x1f, count=0;
while(record) { count+=(record&1); record>>=1; };
return count / 5;
}
function startTimer() {
testing = true;
timerStart = +new Date;
timerInterval = setInterval( function() {
var remaining = SECONDS_PER_QUESTION - ((+new Date) - timerStart) / 1000;
if ( remaining <= 0 ) {
testAnswer(true);
return stopTimer();
}
for ( var i=0, e=el('timer-'+i); e=el('timer-'+i); i++ ) e.style.opacity= Math.min(1,Math.max(0,remaining - i));
}, 50 );
}
function stopTimer() {
for ( var i=0, e=el('timer-'+i); e=el('timer-'+i); i++ ) e.style.opacity=0;
clearInterval( timerInterval );
timerInterval = null;
}
function renderAnswer( correct ) {
var ctx = el('answer').getContext('2d'), spacing = 76, scale=.7;
ctx.clearRect(0,0,ctx.canvas.width, ctx.canvas.height);
ctx.save();
ctx.translate(8,130); ctx.scale(scale,-scale);
ctx.translate((200/scale-spacing*3)/2,0); // center
ctx.fillStyle = 'rgba(0,0,0,.1)';
renderDigits(ctx, '888', spacing);
ctx.fillStyle= ctx.shadowColor = 'rgba(100,255,255,1)';
ctx.shadowOffsetX = 0; ctx.shadowOffsetY = 0; ctx.shadowBlur = 4;
renderDigits(ctx, answer, spacing);
ctx.restore();
ctx.save(); ctx.translate( 155, 33 ); ctx.scale( .10, -.10 );
cross(ctx, correct === false );
ctx.restore();
ctx.save(); ctx.translate( 55, 27 ); ctx.scale( .092, -.092 );
check(ctx, correct === true );
ctx.restore();
}
function renderMastery( problem ) {
var ctx = el('mastery').getContext('2d'), spacing = 76, scale=.5;
ctx.clearRect(0,0,ctx.canvas.width, ctx.canvas.height);
ctx.save();
ctx.translate(-16,80); ctx.scale(scale,-scale);
ctx.translate((200/scale-spacing*3)/2,0); // center
ctx.fillStyle = 'rgba(0,0,0,.08)';
renderDigits(ctx, '188', spacing);
ctx.fillStyle= ctx.shadowColor = 'rgba(100,255,255,1)';
ctx.shadowOffsetX = 0; ctx.shadowOffsetY = 0; ctx.shadowBlur = 4;
renderDigits(ctx, String((100*mastery())|0), spacing);
ctx.save(); ctx.font = 'normal 50px Verdana,sans-serif'; ctx.scale(1,-1);
ctx.fillText('%',238,-29);ctx.restore();
ctx.restore();
if ( problem )
el('chart-'+problem[0]+'-'+problem[1]).style.opacity = problemMastery(problem[0],problem[1]);
for ( var i=0,l=currentStats.mastery.length; i<l; i++ ) {
var barHeight = (92 * currentStats.mastery[i])|0;
el('history-'+i).style.height = barHeight + 'px';
el('history-'+i).style.marginTop = (92-barHeight) + 'px';
}
}
function renderDigits(ctx, d, spacing ) {
ctx.save()
for (var i=0,l=3; i<l; i++) {
if (i-(3-d.length)>=0) { digit(ctx,d.charAt(i-(3-d.length))); ctx.fill(); }
ctx.translate(spacing,0);
}
ctx.restore();
}
var DIGITS = [63,6,91,79,102,109,125,7,127,111]
function digit(ctx,d) {
ctx.save();
ctx.beginPath();
if (DIGITS[d] & 1)
Path(ctx,5,88).arc(5,91,8,91,3).line(45,91).arc(47,91,47,89,2).line(47,80).line(13,80).line(5,88);
if (DIGITS[d] & 2)
Path(ctx,50,87).arc(50,92,54,88,2).line(58,84).arc(61,81,61,79,5).line(61,55).line(56,49).line(50,55).line(50,87);
if (DIGITS[d] & 4)
Path(ctx,50,38).line(56,43).line(61,39).line(61,13).arc(61,11,58,6,5).line(54,4).arc(50,0,50,5,2).line(50,38);
if (DIGITS[d] & 8)
Path(ctx,8,3).line(15,11).line(47,11).line(47,2).arc(47,0,45,0,2).line(11,0).line(8,3);
if (DIGITS[d] & 16)
Path(ctx,0,13).line(0,39).line(5,44).line(11,38).line(11,12).line(5,6).line(0,13);
if (DIGITS[d] & 32)
Path(ctx,0,54).line(0,82).line(3,85).line(11,77).line(11,56).line(5,49).line(0,53);
if (DIGITS[d] & 64)
Path(ctx,12,51).line(49,51).line(53,46).line(46,40).line(14,40).line(8,46);
ctx.closePath();
ctx.restore();
}
function cross( ctx, incorrect ) {
var r = 30, ow=180, iw=30;
ctx.save(); ctx.beginPath();
ctx.rotate(Math.PI/4);
var path = Path(ctx,ow-r,iw);
for (var i=0; i < 4; i++ ) {
path.line(iw,iw).line(iw,ow-r).arc(iw,ow,iw-r,ow,r).line(-iw+r,ow).arc(-iw,ow,-iw,ow-r,r);
ctx.rotate(Math.PI/2);
}
if ( incorrect ) {
ctx.shadowOffsetX = 0; ctx.shadowOffsetY = 0; ctx.shadowBlur = 15; ctx.shadowColor = '#f30';
var gradient = ctx.fillStyle = ctx.createRadialGradient(0, 0, 130, 0, 0, 0);
gradient.addColorStop(0, "rgb(180, 20, 30)"); gradient.addColorStop(1, "rgb(255, 190, 90)");
ctx.fill();
ctx.strokeStyle = 'rgba(255,0,0,.4)'; ctx.lineWidth=3;
ctx.stroke();
} else {
ctx.fillStyle = 'rgba(0,0,0,.2)';
ctx.fill();
}
ctx.restore();
}
function check( ctx, correct ) {
var r = 25, lw=200, sw=120, iw=75;
ctx.save(); ctx.beginPath();
ctx.rotate(-Math.PI/4);
Path(ctx,sw,-lw+r).line(sw,lw-r).arc(sw,lw,sw-r,lw,r).line(sw-iw+r,lw).arc(sw-iw,lw,sw-iw,lw-r,r)
.line(sw-iw,-lw+iw+r).arc(sw-iw,-lw+iw,sw-iw-r,-lw+iw,r).line(-sw+r,-lw+iw).arc(-sw,-lw+iw,-sw,-lw+iw-r,r)
.line(-sw,-lw+r).arc(-sw,-lw,-sw+r,-lw,r).line(sw-r,-lw).arc(sw,-lw,sw,-lw+r,r);
if ( correct ) {
ctx.shadowOffsetX = 0; ctx.shadowOffsetY = 0; ctx.shadowBlur = 5; ctx.shadowColor = '#0f0';
var gradient = ctx.fillStyle = ctx.createRadialGradient(0, 0, 150, 0, 0, 0);
gradient.addColorStop(0, "rgb(20, 255, 40)"); gradient.addColorStop(1, "rgb(200, 255, 90)");
ctx.fill();
ctx.strokeStyle = 'rgba(0,175,30,1)'; ctx.lineWidth=5;
ctx.stroke();
} else {
ctx.fillStyle = 'rgba(0,0,0,.2)';
ctx.fill();
}
ctx.restore();
}
function Path(ctx, x, y ) {
var cp = {};
ctx.moveTo(x,y);
cp.line = function(x,y) { ctx.lineTo(x,y); return cp; }
cp.arc = function(x1,y1,x2,y2,r) { ctx.arcTo(x1,y1,x2,y2,r); return cp; }
return cp;
}
// Animation
function splinef( x1, y1, x2, y2 ) {
var ax=3*x1-3*x2+1, bx=-6*x1+3*x2, cx=3*x1, a=3*y1-3*y2+1, b=-6*y1+3*y2, c=3*y1;
return function(x) {
var t=0,t2=0,dt=-x;
while (Math.abs(dt) > .0001) { t-=dt;t2=t*t;dt=(x-t*cx-t2*bx-t2*t*ax) / (-3*t2*ax-2*t*bx-cx); }
return a*t2*t + b*t2 + c*t;
};
}
var BOUNCE_EASING = splinef( .5, .3, .95, 1.5 );
function timed_animation( start, end, animation, easing ) {
var state = 0, duration = end-start;
return function( t ) {
if ( t < start ) { if (state != 1) animation(0); state = 1; return; }
if ( t >= end ) { if (state != 3) animation(1); state = 3; return; }
animation( easing( (t-start)/duration ) );
state = 2;
}
}
function interpolate_pixels( style, prop, from, to ) {
return function(fraction) { style[prop] = ((from + (to-from)*fraction)|0) + 'px'; }
}
function ComplexAnimation( fps, animations, duration ) {
var animations = animations || [], duration = duration || 0;
return {
add : function( start, end, id, prop, from, to, easing ) {
if ( end > duration ) duration = end;
animations.push( timed_animation( start, end,
interpolate_pixels( document.getElementById(id).style, prop, from, to ), easing ) );
},
duration : function() { return duration; },
start : function( onComplete ) {
var startTime = new Date().getTime();
var interval = setInterval( function() {
var currentTime = (new Date().getTime() - startTime) / 1000;
for ( var i=0,animation; animation = animations[i]; i++ ) animation(currentTime);
if ( currentTime > duration ) {
clearInterval(interval);
if ( onComplete ) onComplete();
}
}, ((1000/fps)|0) );
},
clone : function() { return ComplexAnimation(animations.slice(), duration); }
}
}
function Chooser() {
var choices=[], weights=[0], totalWeight=0, allpublic={};
var add = allpublic.add = function( obj, weight ) {
choices.push(obj);
weights.push( totalWeight += weight );
return allpublic;
}
var choose = allpublic.choose = function() {
if ( choices.length == 0 )
return null;
var choice = Math.random() * totalWeight, start=0, end=weights.length-1, next;
while ( end > start + 1 ) {
next=start+Math.floor((end - start)/2);
if ( choice >= weights[next] )
start = next;
else
end = next;
}
return choices[start];
}
return allpublic;
}
</script>
</head>
<body onload="init()">
<div id="layout">
<div id="problem-container">
<div id="problem-screen" class="screen"></div>
<div id="help-0" class="help">
<h1>Multiplication Table</h1>
<h2><span id="profile"></span></h2>
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<p>Press <strong>space</strong> again to pause the test.</p>
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</div>
<div id="help-1" class="help">
<p class="text">When testing, the problem will appear here and the answer will appear to the right. The answer you type will be
accepted as soon as it is correct. The grid in the bottom center contains a dot for each problem, which will illuminate
as the problem is mastered. The percentage on the bottom right is the total mastery, and the graph on the bottom left
shows mastery over time.</p>
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</div>
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<canvas id="answer" width="200" height="150"></canvas>
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<input type="text" id="clicktrap"/>
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</html>