702 lines
17 KiB
HTML
702 lines
17 KiB
HTML
<!DOCTYPE html>
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<html lang='en'>
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<head>
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<meta charset='utf-8' />
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<meta name="Author" content="M Mclaughlin">
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<title>Testing BigNumber</title>
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<style>
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body {margin: 0; padding: 0; font-family: Calibri, Arial, Sans-Serif;}
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div {margin: 1em 0;}
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h1, #counter {text-align: center; background-color: rgb(225, 225, 225);
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margin-top: 1em; padding: 0.2em; font-size: 1.2em;}
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a {color: rgb(0, 153, 255); margin: 0 0.6em;}
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.links {position: fixed; bottom: 1em; right: 2em; font-size: 0.8em;}
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.form, #time {width: 36em; margin: 0 auto;}
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.form {text-align: left; margin-top: 1.4em;}
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.random input {margin-left: 1em;}
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.small {font-size: 0.9em;}
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.methods {margin: 1em auto; width: 18em;}
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.iterations input, .left {margin-left: 1.6em;}
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.info span {margin-left: 1.6em; font-size: 0.9em;}
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.info {margin-top: 1.6em;}
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.random input, .iterations input {margin-right: 0.3em;}
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.random label, .iterations label, .bigd label {font-size: 0.9em;
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margin-left: 0.1em;}
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.methods label {width: 5em; margin-left: 0.2em; display: inline-block;}
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.methods label.right {width: 2em;}
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.red {color: red; font-size: 1.1em; font-weight: bold;}
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button {width: 10em; height: 2em;}
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#dp, #r, #digits, #reps {margin-left: 0.8em;}
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#bigint {font-style: italic; display: none;}
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#gwt, #icu4j, #bd, #bigint {margin-left: 1.5em;}
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#division {display: none;}
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#counter {font-size: 2em; background-color: rgb(235, 235, 235);}
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#time {text-align: center;}
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#results {margin: 0 1.4em;}
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</style>
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<script src='../bignumber.js'></script>
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<script src='./lib/bigdecimal_GWT/bigdecimal.js'></script>
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</head>
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<body>
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<h1>Testing BigNumber against BigDecimal</h1>
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<div class='form'>
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<div class='methods'>
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<input type='radio' id=0 name=1/><label for=0>plus</label>
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<input type='radio' id=3 name=1/><label for=3>div</label>
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<input type='radio' id=6 name=1/><label for=6 class='right'>abs</label>
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<br>
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<input type='radio' id=1 name=1/><label for=1>minus</label>
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<input type='radio' id=4 name=1/><label for=4>mod</label>
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<input type='radio' id=7 name=1/><label for=7 class='right'>neg</label>
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<br>
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<input type='radio' id=2 name=1/><label for=2>times</label>
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<input type='radio' id=5 name=1/><label for=5>cmp</label>
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<input type='radio' id=8 name=1/><label for=8 class='right'>pow</label>
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</div>
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<div class='bigd'>
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<span>BigDecimal:</span>
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<input type='radio' name=2 id='gwt' /><label for='gwt'>GWT</label>
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<input type='radio' name=2 id='icu4j' /><label for='icu4j'>ICU4J</label>
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<span id='bigint'>BigInteger</span>
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<span id='bd'>add</span>
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</div>
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<div class='random'>
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Random number digits:<input type='text' id='digits' size=12 />
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<input type='radio' name=3 id='fix' /><label for='fix'>Fixed</label>
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<input type='radio' name=3 id='max' /><label for='max'>Max</label>
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<input type='checkbox' id='int' /><label for='int'>Integers only</label>
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</div>
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<div id='division'>
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<span>Decimal places:<input type='text' id='dp' size=9 /></span>
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<span class='left'>Rounding:<select id='r'>
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<option>UP</option>
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<option>DOWN</option>
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<option>CEIL</option>
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<option>FLOOR</option>
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<option>HALF_UP</option>
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<option>HALF_DOWN</option>
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<option>HALF_EVEN</option>
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</select></span>
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</div>
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<div class='iterations'>
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Iterations:<input type='text' id='reps' size=11 />
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<input type='checkbox' id='show'/><label for='show'>Show all (no timing)</label>
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</div>
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<div class='info'>
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<button id='start'>Start</button>
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<span>Click a method to stop</span>
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<span>Press space bar to pause/unpause</span>
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</div>
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</div>
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<div id='counter'>0</div>
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<div id='time'></div>
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<div id='results'></div>
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<div class='links'>
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<a href='https://github.com/MikeMcl/bignumber.js' target='_blank'>BigNumber</a>
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<a href='https://github.com/iriscouch/bigdecimal.js' target='_blank'>GWT</a>
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<a href='https://github.com/dtrebbien/BigDecimal.js/tree/' target='_blank'>ICU4J</a>
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</div>
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<script>
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var i, completedReps, targetReps, cycleReps, cycleTime, prevCycleReps, cycleLimit,
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maxDigits, isFixed, isIntOnly, decimalPlaces, rounding, calcTimeout,
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counterTimeout, script, isGWT, BigDecimal_GWT, BigDecimal_ICU4J,
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bdM, bdTotal, bnM, bnTotal,
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bdMs = ['add', 'subtract', 'multiply', 'divide', 'remainder', 'compareTo',
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'abs', 'negate', 'pow'],
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bnMs = ['plus', 'minus', 'times', 'div', 'mod', 'cmp', 'abs', 'neg', 'pow'],
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lastRounding = 4,
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pause = false,
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up = true,
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timingVisible = false,
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showAll = false,
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// EDIT DEFAULTS HERE
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DEFAULT_REPS = 10000,
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DEFAULT_DIGITS = 20,
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DEFAULT_DECIMAL_PLACES = 20,
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DEFAULT_ROUNDING = 4,
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MAX_POWER = 20,
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CHANCE_NEGATIVE = 0.5, // 0 (never) to 1 (always)
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CHANCE_INTEGER = 0.2, // 0 (never) to 1 (always)
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MAX_RANDOM_EXPONENT = 100,
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SPACE_BAR = 32,
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ICU4J_URL = './lib/bigdecimal_ICU4J/BigDecimal-all-last.js',
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//
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$ = function (id) {return document.getElementById(id)},
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$INPUTS = document.getElementsByTagName('input'),
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$BD = $('bd'),
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$BIGINT = $('bigint'),
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$DIGITS = $('digits'),
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$GWT = $('gwt'),
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$ICU4J = $('icu4j'),
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$FIX = $('fix'),
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$MAX = $('max'),
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$INT = $('int'),
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$DIV = $('division'),
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$DP = $('dp'),
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$R = $('r'),
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$REPS = $('reps'),
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$SHOW = $('show'),
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$START = $('start'),
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$COUNTER = $('counter'),
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$TIME = $('time'),
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$RESULTS = $('results'),
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// Get random number in normal notation.
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getRandom = function () {
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var z,
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i = 0,
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// n is the number of digits - 1
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n = isFixed ? maxDigits - 1 : Math.random() * (maxDigits || 1) | 0,
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r = ( Math.random() * 10 | 0 ) + '';
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if (n) {
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if (r == '0')
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r = isIntOnly ? ( ( Math.random() * 9 | 0 ) + 1 ) + '' : (z = r + '.');
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for ( ; i++ < n; r += Math.random() * 10 | 0 ){}
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if (!z && !isIntOnly && Math.random() > CHANCE_INTEGER) {
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r = r.slice( 0, i = (Math.random() * n | 0) + 1 ) +
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'.' + r.slice(i);
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}
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}
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// Avoid division by zero error with division and modulo
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if ((bdM == 'divide' || bdM == 'remainder') && parseFloat(r) === 0)
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r = ( ( Math.random() * 9 | 0 ) + 1 ) + '';
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return Math.random() > CHANCE_NEGATIVE ? r : '-' + r;
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},
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// Get random number in exponential notation (if isIntOnly is false).
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// GWT BigDecimal BigInteger does not accept exponential notation.
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//getRandom = function () {
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// var i = 0,
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// // n is the number of significant digits - 1
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// n = isFixed ? maxDigits - 1 : Math.random() * (maxDigits || 1) | 0,
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// r = ( ( Math.random() * 9 | 0 ) + 1 ) + '';
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//
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// for (; i++ < n; r += Math.random() * 10 | 0 ){}
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//
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// if ( !isIntOnly ) {
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//
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// // Add exponent.
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// r += 'e' + ( Math.random() > 0.5 ? '+' : '-' ) +
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// ( Math.random() * MAX_RANDOM_EXPONENT | 0 );
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// }
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//
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// return Math.random() > CHANCE_NEGATIVE ? r : '-' + r
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//},
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showTimings = function () {
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var i, bdS, bnS,
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sp = '',
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r = bnTotal < bdTotal
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? (bnTotal ? bdTotal / bnTotal : bdTotal)
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: (bdTotal ? bnTotal / bdTotal : bnTotal);
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bdS = 'BigDecimal: ' + (bdTotal || '<1');
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bnS = 'BigNumber: ' + (bnTotal || '<1');
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for ( i = bdS.length - bnS.length; i-- > 0; sp += ' '){}
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bnS = 'BigNumber: ' + sp + (bnTotal || '<1');
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$TIME.innerHTML =
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'No mismatches<div>' + bdS + ' ms<br>' + bnS + ' ms</div>' +
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((r = parseFloat(r.toFixed(1))) > 1
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? 'Big' + (bnTotal < bdTotal ? 'Number' : 'Decimal')
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+ ' was ' + r + ' times faster'
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: 'Times approximately equal');
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},
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clear = function () {
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clearTimeout(calcTimeout);
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clearTimeout(counterTimeout);
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$COUNTER.style.textDecoration = 'none';
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$COUNTER.innerHTML = '0';
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$TIME.innerHTML = $RESULTS.innerHTML = '';
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$START.innerHTML = 'Start';
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},
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begin = function () {
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var i;
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clear();
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targetReps = +$REPS.value;
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if (!(targetReps > 0)) return;
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$START.innerHTML = 'Restart';
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i = +$DIGITS.value;
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$DIGITS.value = maxDigits = i && isFinite(i) ? i : DEFAULT_DIGITS;
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for (i = 0; i < 9; i++) {
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if ($INPUTS[i].checked) {
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bnM = bnMs[$INPUTS[i].id];
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bdM = bdMs[$INPUTS[i].id];
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break;
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}
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}
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if (bdM == 'divide') {
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i = +$DP.value;
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$DP.value = decimalPlaces = isFinite(i) ? i : DEFAULT_DECIMAL_PLACES;
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rounding = $R.selectedIndex;
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BigNumber.config(decimalPlaces, rounding);
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}
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isFixed = $FIX.checked;
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isIntOnly = $INT.checked;
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showAll = $SHOW.checked;
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BigDecimal = (isGWT = $GWT.checked)
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? (isIntOnly ? BigInteger : BigDecimal_GWT)
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: BigDecimal_ICU4J;
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prevCycleReps = cycleLimit = completedReps = bdTotal = bnTotal = 0;
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pause = false;
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cycleReps = showAll ? 1 : 0.5;
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cycleTime = +new Date();
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setTimeout(updateCounter, 0);
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},
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updateCounter = function () {
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if (pause) {
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if (!timingVisible && !showAll) {
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showTimings();
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timingVisible = true;
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}
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counterTimeout = setTimeout(updateCounter, 50);
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return
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}
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$COUNTER.innerHTML = completedReps;
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if (completedReps < targetReps) {
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if (timingVisible) {
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$TIME.innerHTML = '';
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timingVisible = false;
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}
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if (!showAll) {
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// Adjust cycleReps so counter is updated every second-ish
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if (prevCycleReps != cycleReps) {
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// cycleReps too low
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if (+new Date() - cycleTime < 1e3) {
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prevCycleReps = cycleReps;
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if (cycleLimit) {
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cycleReps += ((cycleLimit - cycleReps) / 2);
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} else {
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cycleReps *= 2;
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}
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// cycleReps too high
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} else {
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cycleLimit = cycleReps;
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cycleReps -= ((cycleReps - prevCycleReps) / 2);
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}
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cycleReps = Math.floor(cycleReps) || 1;
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cycleTime = +new Date();
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}
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if (completedReps + cycleReps > targetReps) {
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cycleReps = targetReps - completedReps;
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}
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}
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completedReps += cycleReps;
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calcTimeout = setTimeout(calc, 0);
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// Finished - show timings summary
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} else {
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$START.innerHTML = 'Start';
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$COUNTER.style.textDecoration = 'underline';
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if (!showAll) {
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showTimings();
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}
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}
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},
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calc = function () {
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var start, bdT, bnT, bdR, bnR,
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xs = [cycleReps],
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ys = [cycleReps],
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bdRs = [cycleReps],
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bnRs = [cycleReps];
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// GENERATE RANDOM OPERANDS
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for (i = 0; i < cycleReps; i++) {
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xs[i] = getRandom();
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}
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if (bdM == 'pow') {
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// GWT pow argument must be Number type and integer
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if (isGWT) {
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for (i = 0; i < cycleReps; i++) {
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ys[i] = Math.floor(Math.random() * (MAX_POWER + 1));
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}
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// ICU4J pow argument must be BigDecimal
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} else {
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for (i = 0; i < cycleReps; i++) {
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ys[i] = Math.floor(Math.random() * (MAX_POWER + 1)) + '';
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}
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}
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// No second operand needed for abs and negate
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} else if (bdM != 'abs' && bdM != 'negate') {
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for (i = 0; i < cycleReps; i++) {
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ys[i] = getRandom();
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}
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}
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//********************************************************************//
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//************************** START TIMING ****************************//
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//********************************************************************//
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// BIGDECIMAL
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if (bdM == 'divide') {
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start = +new Date();
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for (i = 0; i < cycleReps; i++) {
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bdRs[i] = new BigDecimal(xs[i])[bdM](new BigDecimal(ys[i]),
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decimalPlaces, rounding);
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}
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bdT = +new Date() - start;
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// GWT pow argument must be Number type and integer
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} else if (bdM == 'pow' && isGWT) {
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start = +new Date();
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for (i = 0; i < cycleReps; i++) {
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bdRs[i] = new BigDecimal(xs[i])[bdM](ys[i]);
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}
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bdT = +new Date() - start;
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} else if (bdM == 'abs' || bdM == 'negate') {
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start = +new Date();
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for (i = 0; i < cycleReps; i++) {
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bdRs[i] = new BigDecimal(xs[i])[bdM]();
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}
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bdT = +new Date() - start;
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} else {
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start = +new Date();
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for (i = 0; i < cycleReps; i++) {
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bdRs[i] = new BigDecimal(xs[i])[bdM](new BigDecimal(ys[i]));
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}
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bdT = +new Date() - start;
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}
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// BIGNUM
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if (bdM == 'pow') {
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start = +new Date();
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for (i = 0; i < cycleReps; i++) {
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bnRs[i] = new BigNumber(xs[i])[bnM](ys[i]);
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}
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bnT = +new Date() - start;
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} else if (bdM == 'abs' || bdM == 'negate') {
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start = +new Date();
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for (i = 0; i < cycleReps; i++) {
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bnRs[i] = new BigNumber(xs[i])[bnM]();
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}
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bnT = +new Date() - start;
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} else {
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start = +new Date();
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for (i = 0; i < cycleReps; i++) {
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bnRs[i] = new BigNumber(xs[i])[bnM](new BigNumber(ys[i]));
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}
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bnT = +new Date() - start;
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}
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//********************************************************************//
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//**************************** END TIMING ****************************//
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//********************************************************************//
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// CHECK FOR MISMATCHES
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for (i = 0; i < cycleReps; i++) {
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bnR = bnRs[i].toString();
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// Remove any trailing zeros from BigDecimal result
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if (isGWT) {
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bdR = bdM == 'compareTo' || isIntOnly
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? bdRs[i].toString()
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: bdRs[i].stripTrailingZeros().toPlainString();
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} else {
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// No toPlainString() or stripTrailingZeros() in ICU4J
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bdR = bdRs[i].toString();
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if (bdR.indexOf('.') != -1) {
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bdR = bdR.replace(/\.?0+$/, '');
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}
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}
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if (bdR !== bnR) {
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$RESULTS.innerHTML =
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'<span class="red">Breaking on first mismatch:</span>' +
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'<br><br>' +xs[i] + '<br>' + bnM + '<br>' + ys[i] +
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'<br><br>BigDecimal<br>' + bdR + '<br>' + bnR + '<br>BigNumber';
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if (bdM == 'divide') {
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$RESULTS.innerHTML += '<br><br>Decimal places: ' +
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decimalPlaces + '<br>Rounding mode: ' + rounding;
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}
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return;
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} else if (showAll) {
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$RESULTS.innerHTML = xs[i] + '<br>' + bnM + '<br>' + ys[i] +
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'<br><br>BigDecimal<br>' + bdR + '<br>' + bnR + '<br>BigNumber';
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}
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}
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bdTotal += bdT;
|
|
bnTotal += bnT;
|
|
|
|
updateCounter();
|
|
};
|
|
|
|
|
|
// EVENT HANDLERS
|
|
|
|
document.onkeyup = function (evt) {
|
|
evt = evt || window.event;
|
|
if ((evt.keyCode || evt.which) == SPACE_BAR) {
|
|
up = true;
|
|
}
|
|
};
|
|
document.onkeydown = function (evt) {
|
|
evt = evt || window.event;
|
|
if (up && (evt.keyCode || evt.which) == SPACE_BAR) {
|
|
pause = !pause;
|
|
up = false;
|
|
}
|
|
};
|
|
|
|
// BigNumber methods' radio buttons' event handlers
|
|
for (i = 0; i < 9; i++) {
|
|
$INPUTS[i].checked = false;
|
|
$INPUTS[i].disabled = false;
|
|
$INPUTS[i].onclick = function () {
|
|
clear();
|
|
lastRounding = $R.options.selectedIndex;
|
|
$DIV.style.display = 'none';
|
|
bnM = bnMs[this.id];
|
|
$BD.innerHTML = bdM = bdMs[this.id];
|
|
};
|
|
}
|
|
$INPUTS[1].onclick = function () {
|
|
clear();
|
|
$R.options.selectedIndex = lastRounding;
|
|
$DIV.style.display = 'block';
|
|
bnM = bnMs[this.id];
|
|
$BD.innerHTML = bdM = bdMs[this.id];
|
|
};
|
|
|
|
// Show/hide BigInteger and disable/un-disable division accordingly as BigInteger
|
|
// throws an exception if division gives "no exact representable decimal result"
|
|
$INT.onclick = function () {
|
|
if (this.checked && $GWT.checked) {
|
|
if ($INPUTS[1].checked) {
|
|
$INPUTS[1].checked = false;
|
|
$INPUTS[0].checked = true;
|
|
$BD.innerHTML = bdMs[$INPUTS[0].id];
|
|
$DIV.style.display = 'none';
|
|
}
|
|
$INPUTS[1].disabled = true;
|
|
$BIGINT.style.display = 'inline';
|
|
} else {
|
|
$INPUTS[1].disabled = false;
|
|
$BIGINT.style.display = 'none';
|
|
}
|
|
};
|
|
$ICU4J.onclick = function () {
|
|
$INPUTS[1].disabled = false;
|
|
$BIGINT.style.display = 'none';
|
|
};
|
|
$GWT.onclick = function () {
|
|
if ($INT.checked) {
|
|
if ($INPUTS[1].checked) {
|
|
$INPUTS[1].checked = false;
|
|
$INPUTS[0].checked = true;
|
|
$BD.innerHTML = bdMs[$INPUTS[0].id];
|
|
$DIV.style.display = 'none';
|
|
}
|
|
$INPUTS[1].disabled = true;
|
|
$BIGINT.style.display = 'inline';
|
|
}
|
|
};
|
|
|
|
BigNumber.config({
|
|
DECIMAL_PLACES : 20,
|
|
ROUNDING_MODE : 4,
|
|
EXPONENTIAL_AT: 1E9,
|
|
RANGE: 1E9,
|
|
ERRORS: false,
|
|
MODULO_MODE: 1,
|
|
POW_PRECISION: 10000
|
|
});
|
|
|
|
// Set defaults
|
|
$MAX.checked = $INPUTS[0].checked = $GWT.checked = true;
|
|
$SHOW.checked = $INT.checked = false;
|
|
$REPS.value = DEFAULT_REPS;
|
|
$DIGITS.value = DEFAULT_DIGITS;
|
|
$DP.value = DEFAULT_DECIMAL_PLACES;
|
|
$R.option = DEFAULT_ROUNDING;
|
|
|
|
BigDecimal_GWT = BigDecimal;
|
|
BigDecimal = undefined;
|
|
|
|
// Load ICU4J BigDecimal
|
|
script = document.createElement("script");
|
|
script.src = ICU4J_URL;
|
|
script.onload = script.onreadystatechange = function () {
|
|
if (!script.readyState || /loaded|complete/.test(script.readyState)) {
|
|
script = null;
|
|
BigDecimal_ICU4J = BigDecimal;
|
|
$START.onmousedown = begin;
|
|
}
|
|
};
|
|
document.getElementsByTagName("head")[0].appendChild(script);
|
|
|
|
|
|
|
|
/*
|
|
|
|
NOTES:
|
|
|
|
|
|
ICU4J
|
|
=====
|
|
IBM java package: com.ibm.icu.math
|
|
pow's argument must be a BigDecimal.
|
|
Among other differences, doesn't have .toPlainString() or .stripTrailingZeros().
|
|
Exports BigDecimal only.
|
|
Much faster than gwt on Firefox, on Chrome it varies with the method.
|
|
|
|
|
|
GWT
|
|
===
|
|
Java standard class library: java.math.BigDecimal
|
|
|
|
Exports:
|
|
RoundingMode
|
|
MathContext
|
|
BigDecimal
|
|
BigInteger
|
|
|
|
BigDecimal properties:
|
|
ROUND_CEILING
|
|
ROUND_DOWN
|
|
ROUND_FLOOR
|
|
ROUND_HALF_DOWN
|
|
ROUND_HALF_EVEN
|
|
ROUND_HALF_UP
|
|
ROUND_UNNECESSARY
|
|
ROUND_UP
|
|
__init__
|
|
valueOf
|
|
log
|
|
logObj
|
|
ONE
|
|
TEN
|
|
ZERO
|
|
|
|
BigDecimal instance properties/methods:
|
|
( for (var i in new BigDecimal('1').__gwt_instance.__gwtex_wrap) {...} )
|
|
|
|
byteValueExact
|
|
compareTo
|
|
doubleValue
|
|
equals
|
|
floatValue
|
|
hashCode
|
|
intValue
|
|
intValueExact
|
|
max
|
|
min
|
|
movePointLeft
|
|
movePointRight
|
|
precision
|
|
round
|
|
scale
|
|
scaleByPowerOfTen
|
|
shortValueExact
|
|
signum
|
|
stripTrailingZeros
|
|
toBigInteger
|
|
toBigIntegerExact
|
|
toEngineeringString
|
|
toPlainString
|
|
toString
|
|
ulp
|
|
unscaledValue
|
|
longValue
|
|
longValueExact
|
|
abs
|
|
add
|
|
divide
|
|
divideToIntegralValue
|
|
multiply
|
|
negate
|
|
plus
|
|
pow
|
|
remainder
|
|
setScale
|
|
subtract
|
|
divideAndRemainder
|
|
|
|
*/
|
|
|
|
</script>
|
|
</body>
|
|
</html>
|
|
|
|
|