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Initial commit

This commit is contained in:
Michael Mclaughlin
2014-04-02 16:28:08 +01:00
commit b92f900a93
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test/perf/bigtime.js Normal file
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/*
For help:
$ node bigtime -h
Usage example:
Compare the time taken by the Decimal plus method and the BigDecimal add method.
Time 10000 calls to each.
Use operands of up to 40 random digits (each unique for each iteration).
Check that the Decimal results match the BigDecimal results.
$ node bigtime plus 10000 40
*/
var arg, i, j, max, mc, method, methodIndex, precision, rounding, reps, start,
timesEqual, xs, ys, prevRss, prevHeapUsed, prevHeapTotal, showMemory,
bdM, bdT, bdR, bdRs, dM, dT, dR, dRs,
args = process.argv.splice(2),
bigdecimal = require('./lib/bigdecimal_GWT/bigdecimal'),
BigDecimal = bigdecimal.BigDecimal,
MathContext = bigdecimal.MathContext,
Decimal = require('../../decimal'),
bdMs = ['add', 'subtract', 'multiply', 'divide', 'remainder', 'compareTo', 'pow', 'negate', 'abs'],
dMs1 = ['plus', 'minus', 'times', 'dividedBy', 'modulo', 'comparedTo', 'toPower', 'negated', 'abs'],
dMs2 = ['', '', '', 'div', 'mod', 'cmp', '', 'neg', ''],
Ms = [bdMs, dMs1, dMs2],
allMs = [].concat.apply([], Ms),
bdTotal = 0,
dTotal = 0,
BD = {},
BN = {},
modes = ['UP', 'DOWN', 'CEILING', 'FLOOR', 'HALF_UP', 'HALF_DOWN', 'HALF_EVEN'],
ALWAYS_SHOW_MEMORY = false,
DEFAULT_MAX_DIGITS = 20,
DEFAULT_POW_MAX_DIGITS = 20,
DEFAULT_REPS = 1e4,
DEFAULT_POW_REPS = 1e2,
DEFAULT_PRECISION = 20,
MAX_POWER = 50,
MAX_RANDOM_EXPONENT = 100,
getRandom = function (maxDigits) {
var z,
i = 0,
// number of digits - 1
n = Math.random() * ( maxDigits || 1 ) | 0,
// No numbers between 0 and 1 or BigDecimal remainder operation may fail with 'Division impossible' error.
r = ( ( bdM == 'remainder' ? Math.random() * 9 + 1 : Math.random() * 10 ) | 0 ) + '';
//r = ( Math.random() * 10 | 0 ) + '';
if (n) {
if ( z = r === '0' ) {
r += '.';
}
for ( ; i++ < n; r += Math.random() * 10 | 0 ) {
}
// 20% chance of integer
if ( !z && Math.random() > 0.2 ) {
r = r.slice( 0, i = ( Math.random() * n | 0 ) + 1 ) + '.' + r.slice(i);
}
}
// Avoid 'division by zero' error with division and modulo.
if ((bdM == 'divide' || bdM == 'remainder') && parseFloat(r) === 0) {
r = ( ( Math.random() * 9 | 0 ) + 1 ) + '';
}
// 50% chance of negative
return Math.random() > 0.5 ? r : '-' + r;
},
/*
// Returns exponential notation.
getRandom = function (maxDigits) {
var i = 0,
// n is the number of significant digits - 1
n = Math.random() * (maxDigits || 1) | 0,
r = ( ( Math.random() * 9 | 0 ) + 1 ) + ( n ? '.' : '' );
for (; i++ < n; r += Math.random() * 10 | 0 ) {}
// Add exponent.
r += 'e' + ( Math.random() > 0.5 ? '+' : '-' ) +
( Math.random() * MAX_RANDOM_EXPONENT | 0 );
// 50% chance of being negative.
return Math.random() > 0.5 ? r : '-' + r
},
*/
getFastest = function (d, bd) {
var r;
if (Math.abs(d - bd) > 2) {
r = ((d < bd)
? 'Decimal was ' + (d ? parseFloat((bd / d).toFixed(1)) : bd)
: 'BigDecimal was ' + (bd ? parseFloat((d / bd).toFixed(1)) : d)) + ' times faster';
} else {
timesEqual = 1;
r = 'Times approximately equal';
}
return r;
},
getMemory = function (obj) {
if (showMemory) {
var mem = process.memoryUsage(),
rss = mem.rss,
heapUsed = mem.heapUsed,
heapTotal = mem.heapTotal;
if (obj) {
obj.rss += (rss - prevRss);
obj.hU += (heapUsed - prevHeapUsed);
obj.hT += (heapTotal - prevHeapTotal);
}
prevRss = rss;
prevHeapUsed = heapUsed;
prevHeapTotal = heapTotal;
}
},
toKB = function (m) { return parseFloat((m / 1024).toFixed(1)) },
getMemoryTotals = function (obj) {
return '\trss: ' + toKB(obj.rss) + '\thU: ' + toKB(obj.hU) + '\thT: ' + toKB(obj.hT);
};
arg = args[0];
if ( typeof arg != 'undefined' && !isFinite(arg) &&
allMs.indexOf(arg) == -1 && !/^-*m$/i.test(arg)) {
console.log(
'\n node bigtime [METHOD] [METHOD CALLS [MAX DIGITS [precision]]]\n' +
'\n METHOD: The method to be timed and compared with the' +
'\n \t corresponding method from BigDecimal or Decimal\n' +
'\n BigDecimal: add subtract multiply divide remainder compareTo pow' +
'\n\t\tnegate abs\n\n Decimal: plus minus times dividedBy modulo comparedTo toPower' +
'\n\t\tnegated abs (div mod cmp pow neg)' +
'\n\n METHOD CALLS: The number of method calls to be timed' +
'\n\n MAX DIGITS: The maximum number of digits of the random ' +
'\n\t\tnumbers used in the method calls\n\n ' +
'precision: The maximum number of significant digits of a result' +
'\n\t\t(The rounding mode is randomly chosen)' +
'\n\n Default values: METHOD: randomly chosen' +
'\n\t\t METHOD CALLS: ' + DEFAULT_REPS + ' (pow: ' + DEFAULT_POW_REPS + ')' +
'\n\t\t MAX DIGITS: ' + DEFAULT_MAX_DIGITS + ' (pow: ' + DEFAULT_POW_MAX_DIGITS + ')' +
'\n\t\t precision: ' + DEFAULT_PRECISION + '\n' +
'\n E.g. node bigtime\n\tnode bigtime minus\n\tnode bigtime add 100000' +
'\n\tnode bigtime times 20000 100\n\tnode bigtime div 100000 50 20' +
'\n\tnode bigtime 9000\n\tnode bigtime 1000000 20\n' +
'\n To show memory usage, include an argument m or -m' +
'\n E.g. node bigtime m add'
);
} else {
// INITALISE
Decimal.config({
toExpNeg: -9e15,
toExpPos: 9e15,
minE: -9e15,
maxE: 9e15
});
Number.prototype.toPlainString = Number.prototype.toString;
for (i = 0; i < args.length; i++) {
arg = args[i];
if (isFinite(arg)) {
arg = Math.abs(parseInt(arg));
if (reps == null) reps = arg <= 1e10 ? arg : 0;
else if (max == null) max = arg <= 1e6 ? arg : 0;
else if (precision == null) precision = arg <= 1e6 ? arg : DEFAULT_PRECISION;
} else if (/^-*m$/i.test(arg)) {
showMemory = true;
} else if (method == null) {
method = arg;
}
}
for (i = 0; i < Ms.length && (methodIndex = Ms[i].indexOf(method)) == -1; i++) {}
dM = methodIndex == -1
? dMs1[methodIndex = Math.floor(Math.random() * bdMs.length)]
: (Ms[i][0] == 'add' ? dMs1 : Ms[i])[methodIndex];
bdM = bdMs[methodIndex];
if (!reps) reps = bdM == 'pow' ? DEFAULT_POW_REPS : DEFAULT_REPS;
if (!max) max = bdM == 'pow' ? DEFAULT_POW_MAX_DIGITS : DEFAULT_MAX_DIGITS;
if (precision == null) precision = DEFAULT_PRECISION;
/*
BigDecimal remainder needs precision to be >= number of digits of operands:
"Division impossible: This occurs and signals invalid-operation if the integer result of a
divide-integer or remainder operation had too many digits (would be longer than precision)."
*/
if ( bdM == 'remainder' && max > precision ) {
max = precision;
}
// Get random rounding mode.
rounding = Math.floor(Math.random() * 7);
xs = [reps], ys = [reps], bdRs = [reps], dRs = [reps];
BD.rss = BD.hU = BD.hT = BN.rss = BN.hU = BN.hT = 0;
showMemory = showMemory || ALWAYS_SHOW_MEMORY;
console.log('\n Decimal %s vs BigDecimal %s\n' +
'\n Method calls: %d\n\n Random operands: %d', dM, bdM, reps,
bdM == 'abs' || bdM == 'negate' || bdM == 'abs' ? reps : reps * 2);
console.log(' Max. digits of operands: %d', max);
console.log('\n Precision: %d\n Rounding mode: %d', precision, rounding);
process.stdout.write('\n Testing started');
// TEST
outer:
for (; reps > 0; reps -= 1e4) {
j = Math.min(reps, 1e4);
// GENERATE RANDOM OPERANDS
for (i = 0; i < j; i++) {
xs[i] = getRandom(max);
}
if (bdM == 'pow') {
for (i = 0; i < j; i++) {
ys[i] = Math.floor(Math.random() * (MAX_POWER + 1));
}
} else if (bdM != 'abs' && bdM != 'negate') {
for (i = 0; i < j; i++) {
ys[i] = getRandom(max);
}
}
getMemory();
// BIGDECIMAL
/*
// Rounding modes 0 UP, 1 DOWN, 2 CEILING, 3 FLOOR, 4 HALF_UP, 5 HALF_DOWN, 6 HALF_EVEN
new BigDecimal('100').divide( new BigDecimal('3') ); // Exception, needs a rounding mode.
new BigDecimal('100').divide( new BigDecimal('3'), 0 ).toString(); // 34
var x = new BigDecimal('5');
var y = new BigDecimal('3');
// MathContext objects need to be initialised with a string!?
var mc = new MathContext('precision=5 roundingMode=HALF_UP');
console.log( x.divide( y, mc ).toString() ); // '1.6667'
// UNLIMITED precision=0 roundingMode=HALF_UP
// DECIMAL32 precision=7 roundingMode=HALF_EVEN
// DECIMAL64 precision=16 roundingMode=HALF_EVEN
// DECIMAL128 precision=34 roundingMode=HALF_EVEN
// Note that these are functions!
console.log( x.divide( y, MathContext.DECIMAL64() ).toString() ); // '1.666666666666667'
// Set scale (i.e. decimal places) and rounding mode.
console.log( x.divide( y, 2, 4 ).toString() ); // '1.67'
// DOWN is a function, ROUND_DOWN is not!
console.log( x.divide( y, 6, RoundingMode.DOWN() ).toString() ); // '1.666666'
console.log( x.divide( y, 6, BigDecimal.ROUND_DOWN ).toString() ); // '1.666666'
*/
mc = new MathContext('precision=' + precision + ' roundingMode=' + modes[rounding] );
if (bdM == 'pow') {
start = +new Date();
for (i = 0; i < j; i++) {
bdRs[i] = new BigDecimal(xs[i])[bdM](ys[i], mc);
}
bdT = +new Date() - start;
} else if (bdM == 'abs' || bdM == 'negate') {
start = +new Date();
for (i = 0; i < j; i++) {
bdRs[i] = new BigDecimal(xs[i])[bdM]();
}
bdT = +new Date() - start;
} else {
start = +new Date();
for (i = 0; i < j; i++) {
bdRs[i] = new BigDecimal(xs[i])[bdM](new BigDecimal(ys[i]), mc);
}
bdT = +new Date() - start;
}
getMemory(BD);
/*
// Debug: insert the following into the for-loop above.
try {
bdRs[i] = new BigDecimal(xs[i])[bdM](new BigDecimal(ys[i]), mc);
} catch(e) {
console.log(e);
console.log('\n Error. Operation number ' + i);
console.log('\n x: %s\n y: %s', xs[i], ys[i]);
console.log('\n precision: %d\n rounding: %d', precision, rounding);
bdRs[i] = { toPlainString: function () { return 'failed' } };
}
*/
// BIGNUMBER
Decimal.config({ precision: precision, rounding: rounding });
if (bdM == 'abs' || bdM == 'negate') {
start = +new Date();
for (i = 0; i < j; i++) {
dRs[i] = new Decimal(xs[i])[dM]();
}
dT = +new Date() - start;
} else {
start = +new Date();
for (i = 0; i < j; i++) {
dRs[i] = new Decimal(xs[i])[dM](ys[i]);
}
dT = +new Date() - start;
}
getMemory(BN);
// CHECK FOR MISMATCHES
for (i = 0; i < j; i++) {
dR = dRs[i].toString();
bdR = bdRs[i].toPlainString();
// Strip any trailing zeros from non-integer BigDecimals
if (bdR.indexOf('.') != -1) {
bdR = bdR.replace(/\.?0+$/, '');
}
if (bdR !== dR) {
console.log(
'\n breaking on first mismatch (result number %d):' +
'\n\n BigDecimal: %s\n Decimal: %s', i, bdR, dR
);
console.log('\n x: %s\n y: %s', xs[i], ys[i]);
console.log('\n precision: %d\n rounding: %d', precision, rounding);
break outer;
}
}
bdTotal += bdT;
dTotal += dT;
process.stdout.write(' .');
}
// TIMINGS SUMMARY
if (i == j) {
console.log(' done\n\n No mismatches.');
if (showMemory) {
console.log(
'\n Change in memory usage (KB):' +
'\n\tBigDecimal' + getMemoryTotals(BD) +
'\n\tDecimal ' + getMemoryTotals(BN)
);
}
console.log(
'\n Time taken:' + '\n\tBigDecimal ' + (bdTotal || '<1') + ' ms' +
'\n\tDecimal ' + ( dTotal || '<1') + ' ms\n\n ' +
getFastest(dTotal, bdTotal) + '\n'
);
}
}
/*
BigDecimal notes:
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
*/

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<!DOCTYPE html>
<html lang='en'>
<head>
<meta charset='utf-8' />
<meta name="Author" content="M Mclaughlin">
<title>Testing Decimal against BigDecimal</title>
<style>
body {margin: 0; padding: 0; font-family: Calibri, Arial, Sans-Serif;}
div {margin: 1em 0;}
h1, #counter {text-align: center; background-color: rgb(225, 225, 225);
margin-top: 1em; padding: 0.2em; font-size: 1.2em;}
a {color: rgb(0, 153, 255); margin: 0 0.6em;}
.links {position: fixed; bottom: 1em; right: 2em; font-size: 0.8em;}
.form, #time {width: 36em; margin: 0 auto;}
.form {text-align: left; margin-top: 1.4em;}
.random input {margin-left: 1em;}
.small {font-size: 0.9em;}
.methods {margin: 1em auto; width: 18em;}
.iterations input, .left {margin-left: 1.6em;}
.info span {margin-left: 1.6em; font-size: 0.9em;}
.info {margin-top: 1.6em;}
.random input, .iterations input {margin-right: 0.3em;}
.random label, .iterations label, .bigd label {font-size: 0.9em;
margin-left: 0.1em;}
.methods label {width: 5em; margin-left: 0.2em; display: inline-block;}
.methods label.right {width: 2em;}
.red {color: red; font-size: 1.1em; font-weight: bold;}
button {width: 10em; height: 2em;}
#sd, #r, #digits, #reps {margin-left: 0.8em;}
#bigint {font-style: italic; display: none;}
#gwt, #icu4j, #bd, #bigint {margin-left: 1.5em;}
#counter {font-size: 2em; background-color: rgb(235, 235, 235);}
#time {text-align: center;}
#results {margin: 0 1.4em;}
</style>
<script src='../../decimal.js'></script>
<script src='./lib/bigdecimal_GWT/bigdecimal.js'></script>
</head>
<body>
<h1>Testing Decimal against BigDecimal</h1>
<div class='form'>
<div class='methods'>
<input type='radio' id=0 name=1/><label for=0>plus</label>
<input type='radio' id=3 name=1/><label for=3>div</label>
<input type='radio' id=6 name=1/><label for=6 class='right'>abs</label>
<br>
<input type='radio' id=1 name=1/><label for=1>minus</label>
<input type='radio' id=4 name=1/><label for=4>mod</label>
<input type='radio' id=7 name=1/><label for=7 class='right'>neg</label>
<br>
<input type='radio' id=2 name=1/><label for=2>times</label>
<input type='radio' id=5 name=1/><label for=5>cmp</label>
<input type='radio' id=8 name=1/><label for=8 class='right'>pow</label>
</div>
<div class='bigd'>
<span>BigDecimal:</span>
<input type='radio' name=2 id='gwt' /><label for='gwt'>GWT</label>
<input type='radio' name=2 id='icu4j' /><label for='icu4j'>ICU4J</label>
<span id='bigint'>BigInteger</span>
<span id='bd'>add</span>
</div>
<div class='random'>
Random number digits:<input type='text' id='digits' size=12 />
<input type='radio' name=3 id='fix' /><label for='fix'>Fixed</label>
<input type='radio' name=3 id='max' /><label for='max'>Max</label>
<input type='checkbox' id='int' /><label for='int'>Integers only</label>
</div>
<div id='context'>
<span>Precision:<input type='text' id='sd' size=9 /></span>
<span class='left'>Rounding:<select id='r'>
<option>UP</option>
<option>DOWN</option>
<option>CEIL</option>
<option>FLOOR</option>
<option>HALF_UP</option>
<option>HALF_DOWN</option>
<option>HALF_EVEN</option>
</select></span>
</div>
<div class='iterations'>
Iterations:<input type='text' id='reps' size=11 />
<input type='checkbox' id='show'/><label for='show'>Show all (no timing)</label>
</div>
<div class='info'>
<button id='start'>Start</button>
<span>Click a method to stop</span>
<span>Press space bar to pause/unpause</span>
</div>
</div>
<div id='counter'>0</div>
<div id='time'></div>
<div id='results'></div>
<div class='links'>
<a href='https://github.com/MikeMcl/bignumber.js' target='_blank'>Decimal</a>
<a href='https://github.com/iriscouch/bigdecimal.js' target='_blank'>GWT</a>
<a href='https://github.com/dtrebbien/BigDecimal.js/tree/' target='_blank'>ICU4J</a>
</div>
<script>
var i, completedReps, targetReps, cycleReps, cycleTime, prevCycleReps, cycleLimit,
isFixed, isIntOnly, maxDigits, mc, precision, rounding, calcTimeout,
counterTimeout, script, isGWT, BigDecimal_GWT, BigDecimal_ICU4J,
bdM, bdTotal, dM, dTotal,
bdMs = ['add', 'subtract', 'multiply', 'divide', 'remainder', 'compareTo', 'abs', 'negate', 'pow'],
dMs = ['plus', 'minus', 'times', 'div', 'mod', 'cmp', 'abs', 'neg', 'pow'],
modes = ['UP', 'DOWN', 'CEILING', 'FLOOR', 'HALF_UP', 'HALF_DOWN', 'HALF_EVEN'],
lastRounding = 4,
pause = false,
up = true,
timingVisible = false,
showAll = false,
// EDIT DEFAULTS HERE
DEFAULT_REPS = 10000,
DEFAULT_DIGITS = 20,
DEFAULT_PRECISION = 20,
DEFAULT_rounding = 4,
MAX_POWER = 20,
CHANCE_NEGATIVE = 0.5, // 0 (never) to 1 (always)
CHANCE_INTEGER = 0.2, // 0 (never) to 1 (always)
MAX_RANDOM_EXPONENT = 100,
SPACE_BAR = 32,
ICU4J_URL = './lib/bigdecimal_ICU4J/BigDecimal-all-last.js',
//
$ = function (id) { return document.getElementById(id) },
$INPUTS = document.getElementsByTagName('input'),
$BD = $('bd'),
$BIGINT = $('bigint'),
$DIGITS = $('digits'),
$GWT = $('gwt'),
$ICU4J = $('icu4j'),
$FIX = $('fix'),
$MAX = $('max'),
$INT = $('int'),
$SD = $('sd'),
$R = $('r'),
$REPS = $('reps'),
$SHOW = $('show'),
$START = $('start'),
$COUNTER = $('counter'),
$TIME = $('time'),
$RESULTS = $('results'),
// Get random number in normal notation.
getRandom = function () {
var z,
i = 0,
// n is the number of digits - 1
n = isFixed ? maxDigits - 1 : Math.random() * (maxDigits || 1) | 0,
// No numbers between 0 and 1 or BigDecimal remainder operation may fail with 'Division impossible' error.
r = ( ( bdM == 'remainder' ? Math.random() * 9 + 1 : Math.random() * 10 ) | 0 ) + '';
//r = ( Math.random() * 10 | 0 ) + '';
if (n) {
if (r == '0') {
r = isIntOnly ? ( ( Math.random() * 9 | 0 ) + 1 ) + '' : (z = r + '.');
}
for ( ; i++ < n; r += Math.random() * 10 | 0 ){}
if (!z && !isIntOnly && Math.random() > CHANCE_INTEGER) {
r = r.slice( 0, i = (Math.random() * n | 0) + 1 ) + '.' + r.slice(i);
}
}
// Avoid division by zero error with division and modulo
if ((bdM == 'divide' || bdM == 'remainder') && parseFloat(r) === 0) {
r = ( ( Math.random() * 9 | 0 ) + 1 ) + '';
}
return Math.random() > CHANCE_NEGATIVE ? r : '-' + r;
},
/*
// Get random number in exponential notation (if isIntOnly is false).
// GWT BigDecimal BigInteger does not accept exponential notation.
getRandom = function () {
var i = 0,
// n is the number of significant digits - 1
n = isFixed ? maxDigits - 1 : Math.random() * (maxDigits || 1) | 0,
r = ( ( Math.random() * 9 | 0 ) + 1 ) + '';
for (; i++ < n; r += Math.random() * 10 | 0 ) {}
if ( !isIntOnly ) {
// Add exponent.
r += 'e' + ( Math.random() > 0.5 ? '+' : '-' ) +
( Math.random() * MAX_RANDOM_EXPONENT | 0 );
}
return Math.random() > CHANCE_NEGATIVE ? r : '-' + r
},
*/
showTimings = function () {
var i, bdS, dS,
sp = '',
r = dTotal < bdTotal
? (dTotal ? bdTotal / dTotal : bdTotal)
: (bdTotal ? dTotal / bdTotal : dTotal);
bdS = 'BigDecimal: ' + (bdTotal || '<1');
dS = 'Decimal: ' + ( dTotal || '<1');
for ( i = bdS.length - dS.length; i-- > 0; sp += '&nbsp;') {}
dS = 'Decimal: ' + sp + (dTotal || '<1');
$TIME.innerHTML = 'No mismatches<div>' + bdS + ' ms<br>' + dS + ' ms</div>' + (
(r = parseFloat(r.toFixed(1))) > 1
? (dTotal < bdTotal ? 'Decimal' : 'BigDecimal') + ' was ' + r + ' times faster'
: 'Times approximately equal'
);
},
clear = function () {
clearTimeout(calcTimeout);
clearTimeout(counterTimeout);
$COUNTER.style.textDecoration = 'none';
$COUNTER.innerHTML = '0';
$TIME.innerHTML = $RESULTS.innerHTML = '';
$START.innerHTML = 'Start';
},
begin = function () {
var i;
clear();
targetReps = +$REPS.value;
if (!(targetReps > 0)) return;
$START.innerHTML = 'Restart';
i = +$DIGITS.value;
$DIGITS.value = maxDigits = i && isFinite(i) ? i : DEFAULT_DIGITS;
for (i = 0; i < 9; i++) {
if ($INPUTS[i].checked) {
dM = dMs[$INPUTS[i].id];
bdM = bdMs[$INPUTS[i].id];
break;
}
}
isFixed = $FIX.checked;
isIntOnly = $INT.checked;
showAll = $SHOW.checked;
isGWT = $GWT.checked;
precision = isFinite(i = +$SD.value) ? i : DEFAULT_PRECISION;
/*
// BigDecimal_ICU4J rounds operands to precision before performing the calculation.
if (precision < maxDigits && !isGWT) {
precision = maxDigits + 1;
}
*/
$SD.value = precision
rounding = $R.selectedIndex;
// Set precision and rounding
Decimal.config({ precision: precision, rounding: rounding });
if (isGWT) {
BigDecimal = isIntOnly ? BigInteger : BigDecimal_GWT;
mc = new MathContext_GWT('precision=' + precision + ' roundingMode=' + modes[rounding]);
} else {
BigDecimal = BigDecimal_ICU4J;
mc = new MathContext_ICU4J(precision, MathContext_ICU4J.PLAIN, false, rounding);
}
prevCycleReps = cycleLimit = completedReps = bdTotal = dTotal = 0;
pause = false;
cycleReps = showAll ? 1 : 0.5;
cycleTime = +new Date();
setTimeout(updateCounter, 0);
},
updateCounter = function () {
if (pause) {
if (!timingVisible && !showAll) {
showTimings();
timingVisible = true;
}
counterTimeout = setTimeout(updateCounter, 50);
return;
}
$COUNTER.innerHTML = completedReps;
if (completedReps < targetReps) {
if (timingVisible) {
$TIME.innerHTML = '';
timingVisible = false;
}
if (!showAll) {
// Adjust cycleReps so counter is updated every second-ish
if (prevCycleReps != cycleReps) {
// cycleReps too low
if (+new Date() - cycleTime < 1e3) {
prevCycleReps = cycleReps;
if (cycleLimit) {
cycleReps += ((cycleLimit - cycleReps) / 2);
} else {
cycleReps *= 2;
}
// cycleReps too high
} else {
cycleLimit = cycleReps;
cycleReps -= ((cycleReps - prevCycleReps) / 2);
}
cycleReps = Math.floor(cycleReps) || 1;
cycleTime = +new Date();
}
if (completedReps + cycleReps > targetReps) {
cycleReps = targetReps - completedReps;
}
}
completedReps += cycleReps;
calcTimeout = setTimeout(calc, 0);
// Finished - show timings summary
} else {
$START.innerHTML = 'Start';
$COUNTER.style.textDecoration = 'underline';
if (!showAll) {
showTimings();
}
}
},
calc = function () {
var start, bdT, dT, bdR, dR,
xs = [cycleReps],
ys = [cycleReps],
bdRs = [cycleReps],
dRs = [cycleReps];
// GENERATE RANDOM OPERANDS
for (i = 0; i < cycleReps; i++) {
xs[i] = getRandom();
}
if (bdM == 'pow') {
// GWT pow argument must be Number type and integer
if (isGWT) {
for (i = 0; i < cycleReps; i++) {
ys[i] = Math.floor(Math.random() * (MAX_POWER + 1));
}
// ICU4J pow argument must be BigDecimal
} else {
for (i = 0; i < cycleReps; i++) {
ys[i] = Math.floor(Math.random() * (MAX_POWER + 1)) + '';
}
}
// No second operand needed for abs and negate
} else if (bdM != 'abs' && bdM != 'negate') {
for (i = 0; i < cycleReps; i++) {
ys[i] = getRandom();
}
}
//********************************************************************//
//************************** START TIMING ****************************//
//********************************************************************//
// BIGDECIMAL
/*
// BigDecimalICU4J
// Rounds operands to precision before performing a calculation.
// Rounding to precision of add, subtract and pow seems unfathomable/unreliable, but it
// matches the java version, see <http://speleotrove.com/decimal/dax3274.html>.
// Pass a MathContext object to an arithmetic operation to set a precision/rounding mode.
// Pass integers to set the scale (i.e. dp) and rounding mode for divide only.
// (Passing one integer to divide sets the rounding mode.)
// Default scale (i.e. dp) if no MathContext object or integers are passed:
// divide: lhs, add/subtract: max(lhs, rhs), multiply: lhs + rhs
new BigDecimal('100').divide( new BigDecimal('3') ).toString() // 33
new BigDecimal('100').divide( new BigDecimal('3'), new MathContext(5, MathContext.PLAIN, false, MathContext.ROUND_HALF_UP) ).toString() // 33.333
new BigDecimal('100').divide( new BigDecimal('3'), 4, BigDecimal.ROUND_HALF_UP) ).toString() // 33.3333
// BigDecimalGWT
// Rounding modes 0 UP, 1 DOWN, 2 CEILING, 3 FLOOR, 4 HALF_UP, 5 HALF_DOWN, 6 HALF_EVEN
new BigDecimal('100').divide( new BigDecimal('3') ); // Exception, needs a rounding mode.
new BigDecimal('100').divide( new BigDecimal('3'), 0 ).toString(); // 34
var x = new BigDecimal('5');
var y = new BigDecimal('3');
// MathContext objects need to be initialised with a string!?
var mc = new MathContext('precision=5 roundingMode=HALF_UP');
console.log( x.divide( y, mc ).toString() ); // '1.6667'
// UNLIMITED precision=0 roundingMode=HALF_UP
// DECIMAL32 precision=7 roundingMode=HALF_EVEN
// DECIMAL64 precision=16 roundingMode=HALF_EVEN
// DECIMAL128 precision=34 roundingMode=HALF_EVEN
// Note that these are functions!
console.log( x.divide( y, MathContext.DECIMAL64() ).toString() ); // '1.666666666666667'
// Set scale (i.e. decimal places) and rounding mode.
console.log( x.divide( y, 2, 4 ).toString() ); // '1.67'
// DOWN is a function, ROUND_DOWN is not!
console.log( x.divide( y, 6, RoundingMode.DOWN() ).toString() ); // '1.666666'
console.log( x.divide( y, 6, BigDecimal.ROUND_DOWN ).toString() ); // '1.666666' ).toString()
*/
// GWT pow argument must be Number type and integer
if (bdM == 'pow' && isGWT) {
start = +new Date();
for (i = 0; i < cycleReps; i++) {
bdRs[i] = new BigDecimal(xs[i])[bdM](ys[i], mc);
}
bdT = +new Date() - start;
} else if (bdM == 'abs' || bdM == 'negate') {
start = +new Date();
for (i = 0; i < cycleReps; i++) {
bdRs[i] = new BigDecimal(xs[i])[bdM]();
}
bdT = +new Date() - start;
} else {
start = +new Date();
for (i = 0; i < cycleReps; i++) {
bdRs[i] = new BigDecimal(xs[i])[bdM](new BigDecimal(ys[i]), mc);
}
bdT = +new Date() - start;
}
// DECIMAL
if (bdM == 'abs' || bdM == 'negate') {
start = +new Date();
for (i = 0; i < cycleReps; i++) {
dRs[i] = new Decimal(xs[i])[dM]();
}
dT = +new Date() - start;
} else {
start = +new Date();
for (i = 0; i < cycleReps; i++) {
dRs[i] = new Decimal(xs[i])[dM](ys[i]);
}
dT = +new Date() - start;
}
//********************************************************************//
//**************************** END TIMING ****************************//
//********************************************************************//
// CHECK FOR MISMATCHES
for (i = 0; i < cycleReps; i++) {
dR = dRs[i].toString();
// Remove any trailing zeros from BigDecimal result
if (isGWT) {
bdR = bdM == 'compareTo' || isIntOnly
? bdRs[i].toString()
: bdRs[i].stripTrailingZeros().toPlainString();
} else {
// No toPlainString() or stripTrailingZeros() in ICU4J
bdR = bdRs[i].toString();
if (bdR.indexOf('.') != -1) {
bdR = bdR.replace(/\.?0+$/, '');
}
}
if (bdR !== dR) {
$RESULTS.innerHTML =
'<span class="red">Breaking on first mismatch:</span>' +
'<br><br>' +xs[i] + '<br>' + dM + '<br>' + ys[i] +
'<br><br>BigDecimal<br>' + bdR + '<br>' + dR + '<br>Decimal';
if (bdM == 'divide') {
$RESULTS.innerHTML += '<br><br>Decimal places: ' +
precision + '<br>Rounding mode: ' + rounding;
}
return;
} else if (showAll) {
$RESULTS.innerHTML = xs[i] + '<br>' + dM + '<br>' + ys[i] +
'<br><br>BigDecimal<br>' + bdR + '<br>' + dR + '<br>Decimal';
}
}
bdTotal += bdT;
dTotal += dT;
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;
}
};
// Decimal 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;
dM = dMs[this.id];
$BD.innerHTML = bdM = bdMs[this.id];
};
}
$INPUTS[1].onclick = function () {
clear();
$R.options.selectedIndex = lastRounding;
dM = dMs[this.id];
$BD.innerHTML = bdM = bdMs[this.id];
};
// Show/hide BigInteger and disable/re-enable 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];
}
$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];
}
$INPUTS[1].disabled = true;
$BIGINT.style.display = 'inline';
}
};
Decimal.config({
precision: 20,
rounding: 4,
errors: false,
minE: -9e15,
maxE: 9e15,
toExpNeg: -9e15,
toExpPos: 9e15
});
// Set defaults
$MAX.checked = $INPUTS[0].checked = $GWT.checked = true;
$SHOW.checked = $INT.checked = false;
$REPS.value = DEFAULT_REPS;
$DIGITS.value = DEFAULT_DIGITS;
$SD.value = DEFAULT_PRECISION;
$R.option = DEFAULT_rounding;
BigDecimal_GWT = BigDecimal;
MathContext_GWT = MathContext;
//if ( !MathContext ) throw 'No MathContext!';
BigDecimal = MathContext = null;
// 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;
MathContext_ICU4J = MathContext;
BigDecimal = MathContext = null;
$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.
This javascript version is used by the gwt_math project.
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>

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https://github.com/iriscouch/bigdecimal.js
BigDecimal for Javascript is licensed under the Apache License, version 2.0:
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/*
Copyright (c) 2012 Daniel Trebbien and other contributors
Portions Copyright (c) 2003 STZ-IDA and PTV AG, Karlsruhe, Germany
Portions Copyright (c) 1995-2001 International Business Machines Corporation and others
All rights reserved.
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, provided that the above copyright notice(s) and this permission notice appear in all copies of the Software and that both the above copyright notice(s) and this permission notice appear in supporting documentation.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
Except as contained in this notice, the name of a copyright holder shall not be used in advertising or otherwise to promote the sale, use or other dealings in this Software without prior written authorization of the copyright holder.
*/
(function(){var m,k=function(){this.form=this.digits=0;this.lostDigits=!1;this.roundingMode=0;var a=this.DEFAULT_FORM,b=this.DEFAULT_LOSTDIGITS,c=this.DEFAULT_ROUNDINGMODE;if(4==k.arguments.length)a=k.arguments[1],b=k.arguments[2],c=k.arguments[3];else if(3==k.arguments.length)a=k.arguments[1],b=k.arguments[2];else if(2==k.arguments.length)a=k.arguments[1];else if(1!=k.arguments.length)throw"MathContext(): "+k.arguments.length+" arguments given; expected 1 to 4";var d=k.arguments[0];if(d!=this.DEFAULT_DIGITS){if(d<
this.MIN_DIGITS)throw"MathContext(): Digits too small: "+d;if(d>this.MAX_DIGITS)throw"MathContext(): Digits too large: "+d;}if(a!=this.SCIENTIFIC&&a!=this.ENGINEERING&&a!=this.PLAIN)throw"MathContext() Bad form value: "+a;if(!this.isValidRound(c))throw"MathContext(): Bad roundingMode value: "+c;this.digits=d;this.form=a;this.lostDigits=b;this.roundingMode=c};k.prototype.getDigits=function(){return this.digits};k.prototype.getForm=function(){return this.form};k.prototype.getLostDigits=function(){return this.lostDigits};
k.prototype.getRoundingMode=function(){return this.roundingMode};k.prototype.toString=function(){var a=null,b=0,c=null,a=this.form==this.SCIENTIFIC?"SCIENTIFIC":this.form==this.ENGINEERING?"ENGINEERING":"PLAIN",d=this.ROUNDS.length,b=0;a:for(;0<d;d--,b++)if(this.roundingMode==this.ROUNDS[b]){c=this.ROUNDWORDS[b];break a}return"digits="+this.digits+" form="+a+" lostDigits="+(this.lostDigits?"1":"0")+" roundingMode="+c};k.prototype.isValidRound=function(a){var b=0,c=this.ROUNDS.length,b=0;for(;0<c;c--,
b++)if(a==this.ROUNDS[b])return!0;return!1};k.PLAIN=k.prototype.PLAIN=0;k.SCIENTIFIC=k.prototype.SCIENTIFIC=1;k.ENGINEERING=k.prototype.ENGINEERING=2;k.ROUND_CEILING=k.prototype.ROUND_CEILING=2;k.ROUND_DOWN=k.prototype.ROUND_DOWN=1;k.ROUND_FLOOR=k.prototype.ROUND_FLOOR=3;k.ROUND_HALF_DOWN=k.prototype.ROUND_HALF_DOWN=5;k.ROUND_HALF_EVEN=k.prototype.ROUND_HALF_EVEN=6;k.ROUND_HALF_UP=k.prototype.ROUND_HALF_UP=4;k.ROUND_UNNECESSARY=k.prototype.ROUND_UNNECESSARY=7;k.ROUND_UP=k.prototype.ROUND_UP=0;k.prototype.DEFAULT_FORM=
k.prototype.SCIENTIFIC;k.prototype.DEFAULT_DIGITS=9;k.prototype.DEFAULT_LOSTDIGITS=!1;k.prototype.DEFAULT_ROUNDINGMODE=k.prototype.ROUND_HALF_UP;k.prototype.MIN_DIGITS=0;k.prototype.MAX_DIGITS=999999999;k.prototype.ROUNDS=[k.prototype.ROUND_HALF_UP,k.prototype.ROUND_UNNECESSARY,k.prototype.ROUND_CEILING,k.prototype.ROUND_DOWN,k.prototype.ROUND_FLOOR,k.prototype.ROUND_HALF_DOWN,k.prototype.ROUND_HALF_EVEN,k.prototype.ROUND_UP];k.prototype.ROUNDWORDS="ROUND_HALF_UP ROUND_UNNECESSARY ROUND_CEILING ROUND_DOWN ROUND_FLOOR ROUND_HALF_DOWN ROUND_HALF_EVEN ROUND_UP".split(" ");
k.prototype.DEFAULT=new k(k.prototype.DEFAULT_DIGITS,k.prototype.DEFAULT_FORM,k.prototype.DEFAULT_LOSTDIGITS,k.prototype.DEFAULT_ROUNDINGMODE);m=k;var v,G=function(a,b){return(a-a%b)/b},K=function(a){var b=Array(a),c;for(c=0;c<a;++c)b[c]=0;return b},h=function(){this.ind=0;this.form=m.prototype.PLAIN;this.mant=null;this.exp=0;if(0!=h.arguments.length){var a,b,c;1==h.arguments.length?(a=h.arguments[0],b=0,c=a.length):(a=h.arguments[0],b=h.arguments[1],c=h.arguments[2]);"string"==typeof a&&(a=a.split(""));
var d,e,i,f,g,j=0,l=0;e=!1;var k=l=l=j=0,q=0;f=0;0>=c&&this.bad("BigDecimal(): ",a);this.ind=this.ispos;"-"==a[0]?(c--,0==c&&this.bad("BigDecimal(): ",a),this.ind=this.isneg,b++):"+"==a[0]&&(c--,0==c&&this.bad("BigDecimal(): ",a),b++);e=d=!1;i=0;g=f=-1;k=c;j=b;a:for(;0<k;k--,j++){l=a[j];if("0"<=l&&"9">=l){g=j;i++;continue a}if("."==l){0<=f&&this.bad("BigDecimal(): ",a);f=j-b;continue a}if("e"!=l&&"E"!=l){("0">l||"9"<l)&&this.bad("BigDecimal(): ",a);d=!0;g=j;i++;continue a}j-b>c-2&&this.bad("BigDecimal(): ",
a);e=!1;"-"==a[j+1]?(e=!0,j+=2):j="+"==a[j+1]?j+2:j+1;l=c-(j-b);(0==l||9<l)&&this.bad("BigDecimal(): ",a);c=l;l=j;for(;0<c;c--,l++)k=a[l],"0">k&&this.bad("BigDecimal(): ",a),"9"<k?this.bad("BigDecimal(): ",a):q=k-0,this.exp=10*this.exp+q;e&&(this.exp=-this.exp);e=!0;break a}0==i&&this.bad("BigDecimal(): ",a);0<=f&&(this.exp=this.exp+f-i);q=g-1;j=b;a:for(;j<=q;j++)if(l=a[j],"0"==l)b++,f--,i--;else if("."==l)b++,f--;else break a;this.mant=Array(i);l=b;if(d){b=i;j=0;for(;0<b;b--,j++)j==f&&l++,k=a[l],
"9">=k?this.mant[j]=k-0:this.bad("BigDecimal(): ",a),l++}else{b=i;j=0;for(;0<b;b--,j++)j==f&&l++,this.mant[j]=a[l]-0,l++}0==this.mant[0]?(this.ind=this.iszero,0<this.exp&&(this.exp=0),e&&(this.mant=this.ZERO.mant,this.exp=0)):e&&(this.form=m.prototype.SCIENTIFIC,f=this.exp+this.mant.length-1,(f<this.MinExp||f>this.MaxExp)&&this.bad("BigDecimal(): ",a))}},H=function(){var a;if(1==H.arguments.length)a=H.arguments[0];else if(0==H.arguments.length)a=this.plainMC;else throw"abs(): "+H.arguments.length+
" arguments given; expected 0 or 1";return this.ind==this.isneg?this.negate(a):this.plus(a)},w=function(){var a;if(2==w.arguments.length)a=w.arguments[1];else if(1==w.arguments.length)a=this.plainMC;else throw"add(): "+w.arguments.length+" arguments given; expected 1 or 2";var b=w.arguments[0],c,d,e,i,f,g,j,l=0;d=l=0;var l=null,k=l=0,q=0,t=0,s=0,n=0;a.lostDigits&&this.checkdigits(b,a.digits);c=this;if(0==c.ind&&a.form!=m.prototype.PLAIN)return b.plus(a);if(0==b.ind&&a.form!=m.prototype.PLAIN)return c.plus(a);
d=a.digits;0<d&&(c.mant.length>d&&(c=this.clone(c).round(a)),b.mant.length>d&&(b=this.clone(b).round(a)));e=new h;i=c.mant;f=c.mant.length;g=b.mant;j=b.mant.length;if(c.exp==b.exp)e.exp=c.exp;else if(c.exp>b.exp){l=f+c.exp-b.exp;if(l>=j+d+1&&0<d)return e.mant=i,e.exp=c.exp,e.ind=c.ind,f<d&&(e.mant=this.extend(c.mant,d),e.exp-=d-f),e.finish(a,!1);e.exp=b.exp;l>d+1&&0<d&&(l=l-d-1,j-=l,e.exp+=l,l=d+1);l>f&&(f=l)}else{l=j+b.exp-c.exp;if(l>=f+d+1&&0<d)return e.mant=g,e.exp=b.exp,e.ind=b.ind,j<d&&(e.mant=
this.extend(b.mant,d),e.exp-=d-j),e.finish(a,!1);e.exp=c.exp;l>d+1&&0<d&&(l=l-d-1,f-=l,e.exp+=l,l=d+1);l>j&&(j=l)}e.ind=c.ind==this.iszero?this.ispos:c.ind;if((c.ind==this.isneg?1:0)==(b.ind==this.isneg?1:0))d=1;else{do{d=-1;do if(b.ind!=this.iszero)if(f<j||c.ind==this.iszero)l=i,i=g,g=l,l=f,f=j,j=l,e.ind=-e.ind;else if(!(f>j)){k=l=0;q=i.length-1;t=g.length-1;c:for(;;){if(l<=q)s=i[l];else{if(k>t){if(a.form!=m.prototype.PLAIN)return this.ZERO;break c}s=0}n=k<=t?g[k]:0;if(s!=n){s<n&&(l=i,i=g,g=l,l=
f,f=j,j=l,e.ind=-e.ind);break c}l++;k++}}while(0)}while(0)}e.mant=this.byteaddsub(i,f,g,j,d,!1);return e.finish(a,!1)},x=function(){var a;if(2==x.arguments.length)a=x.arguments[1];else if(1==x.arguments.length)a=this.plainMC;else throw"compareTo(): "+x.arguments.length+" arguments given; expected 1 or 2";var b=x.arguments[0],c=0,c=0;a.lostDigits&&this.checkdigits(b,a.digits);if(this.ind==b.ind&&this.exp==b.exp){c=this.mant.length;if(c<b.mant.length)return-this.ind;if(c>b.mant.length)return this.ind;
if(c<=a.digits||0==a.digits){a=c;c=0;for(;0<a;a--,c++){if(this.mant[c]<b.mant[c])return-this.ind;if(this.mant[c]>b.mant[c])return this.ind}return 0}}else{if(this.ind<b.ind)return-1;if(this.ind>b.ind)return 1}b=this.clone(b);b.ind=-b.ind;return this.add(b,a).ind},p=function(){var a,b=-1;if(2==p.arguments.length)a="number"==typeof p.arguments[1]?new m(0,m.prototype.PLAIN,!1,p.arguments[1]):p.arguments[1];else if(3==p.arguments.length){b=p.arguments[1];if(0>b)throw"divide(): Negative scale: "+b;a=new m(0,
m.prototype.PLAIN,!1,p.arguments[2])}else if(1==p.arguments.length)a=this.plainMC;else throw"divide(): "+p.arguments.length+" arguments given; expected between 1 and 3";return this.dodivide("D",p.arguments[0],a,b)},y=function(){var a;if(2==y.arguments.length)a=y.arguments[1];else if(1==y.arguments.length)a=this.plainMC;else throw"divideInteger(): "+y.arguments.length+" arguments given; expected 1 or 2";return this.dodivide("I",y.arguments[0],a,0)},z=function(){var a;if(2==z.arguments.length)a=z.arguments[1];
else if(1==z.arguments.length)a=this.plainMC;else throw"max(): "+z.arguments.length+" arguments given; expected 1 or 2";var b=z.arguments[0];return 0<=this.compareTo(b,a)?this.plus(a):b.plus(a)},A=function(){var a;if(2==A.arguments.length)a=A.arguments[1];else if(1==A.arguments.length)a=this.plainMC;else throw"min(): "+A.arguments.length+" arguments given; expected 1 or 2";var b=A.arguments[0];return 0>=this.compareTo(b,a)?this.plus(a):b.plus(a)},B=function(){var a;if(2==B.arguments.length)a=B.arguments[1];
else if(1==B.arguments.length)a=this.plainMC;else throw"multiply(): "+B.arguments.length+" arguments given; expected 1 or 2";var b=B.arguments[0],c,d,e,i=e=null,f,g=0,j,l=0,k=0;a.lostDigits&&this.checkdigits(b,a.digits);c=this;d=0;e=a.digits;0<e?(c.mant.length>e&&(c=this.clone(c).round(a)),b.mant.length>e&&(b=this.clone(b).round(a))):(0<c.exp&&(d+=c.exp),0<b.exp&&(d+=b.exp));c.mant.length<b.mant.length?(e=c.mant,i=b.mant):(e=b.mant,i=c.mant);f=e.length+i.length-1;g=9<e[0]*i[0]?f+1:f;j=new h;var g=
this.createArrayWithZeros(g),m=e.length,l=0;for(;0<m;m--,l++)k=e[l],0!=k&&(g=this.byteaddsub(g,g.length,i,f,k,!0)),f--;j.ind=c.ind*b.ind;j.exp=c.exp+b.exp-d;j.mant=0==d?g:this.extend(g,g.length+d);return j.finish(a,!1)},I=function(){var a;if(1==I.arguments.length)a=I.arguments[0];else if(0==I.arguments.length)a=this.plainMC;else throw"negate(): "+I.arguments.length+" arguments given; expected 0 or 1";var b;a.lostDigits&&this.checkdigits(null,a.digits);b=this.clone(this);b.ind=-b.ind;return b.finish(a,
!1)},J=function(){var a;if(1==J.arguments.length)a=J.arguments[0];else if(0==J.arguments.length)a=this.plainMC;else throw"plus(): "+J.arguments.length+" arguments given; expected 0 or 1";a.lostDigits&&this.checkdigits(null,a.digits);return a.form==m.prototype.PLAIN&&this.form==m.prototype.PLAIN&&(this.mant.length<=a.digits||0==a.digits)?this:this.clone(this).finish(a,!1)},C=function(){var a;if(2==C.arguments.length)a=C.arguments[1];else if(1==C.arguments.length)a=this.plainMC;else throw"pow(): "+
C.arguments.length+" arguments given; expected 1 or 2";var b=C.arguments[0],c,d,e,i=e=0,f,g=0;a.lostDigits&&this.checkdigits(b,a.digits);c=b.intcheck(this.MinArg,this.MaxArg);d=this;e=a.digits;if(0==e){if(b.ind==this.isneg)throw"pow(): Negative power: "+b.toString();e=0}else{if(b.mant.length+b.exp>e)throw"pow(): Too many digits: "+b.toString();d.mant.length>e&&(d=this.clone(d).round(a));i=b.mant.length+b.exp;e=e+i+1}e=new m(e,a.form,!1,a.roundingMode);i=this.ONE;if(0==c)return i;0>c&&(c=-c);f=!1;
g=1;a:for(;;g++){c<<=1;0>c&&(f=!0,i=i.multiply(d,e));if(31==g)break a;if(!f)continue a;i=i.multiply(i,e)}0>b.ind&&(i=this.ONE.divide(i,e));return i.finish(a,!0)},D=function(){var a;if(2==D.arguments.length)a=D.arguments[1];else if(1==D.arguments.length)a=this.plainMC;else throw"remainder(): "+D.arguments.length+" arguments given; expected 1 or 2";return this.dodivide("R",D.arguments[0],a,-1)},E=function(){var a;if(2==E.arguments.length)a=E.arguments[1];else if(1==E.arguments.length)a=this.plainMC;
else throw"subtract(): "+E.arguments.length+" arguments given; expected 1 or 2";var b=E.arguments[0];a.lostDigits&&this.checkdigits(b,a.digits);b=this.clone(b);b.ind=-b.ind;return this.add(b,a)},r=function(){var a,b,c,d;if(6==r.arguments.length)a=r.arguments[2],b=r.arguments[3],c=r.arguments[4],d=r.arguments[5];else if(2==r.arguments.length)b=a=-1,c=m.prototype.SCIENTIFIC,d=this.ROUND_HALF_UP;else throw"format(): "+r.arguments.length+" arguments given; expected 2 or 6";var e=r.arguments[0],i=r.arguments[1],
f,g=0,g=g=0,j=null,l=j=g=0;f=0;g=null;l=j=0;(-1>e||0==e)&&this.badarg("format",1,e);-1>i&&this.badarg("format",2,i);(-1>a||0==a)&&this.badarg("format",3,a);-1>b&&this.badarg("format",4,b);c!=m.prototype.SCIENTIFIC&&c!=m.prototype.ENGINEERING&&(-1==c?c=m.prototype.SCIENTIFIC:this.badarg("format",5,c));if(d!=this.ROUND_HALF_UP)try{-1==d?d=this.ROUND_HALF_UP:new m(9,m.prototype.SCIENTIFIC,!1,d)}catch(h){this.badarg("format",6,d)}f=this.clone(this);-1==b?f.form=m.prototype.PLAIN:f.ind==this.iszero?f.form=
m.prototype.PLAIN:(g=f.exp+f.mant.length,f.form=g>b?c:-5>g?c:m.prototype.PLAIN);if(0<=i)a:for(;;){f.form==m.prototype.PLAIN?g=-f.exp:f.form==m.prototype.SCIENTIFIC?g=f.mant.length-1:(g=(f.exp+f.mant.length-1)%3,0>g&&(g=3+g),g++,g=g>=f.mant.length?0:f.mant.length-g);if(g==i)break a;if(g<i){j=this.extend(f.mant,f.mant.length+i-g);f.mant=j;f.exp-=i-g;if(f.exp<this.MinExp)throw"format(): Exponent Overflow: "+f.exp;break a}g-=i;if(g>f.mant.length){f.mant=this.ZERO.mant;f.ind=this.iszero;f.exp=0;continue a}j=
f.mant.length-g;l=f.exp;f.round(j,d);if(f.exp-l==g)break a}b=f.layout();if(0<e){c=b.length;f=0;a:for(;0<c;c--,f++){if("."==b[f])break a;if("E"==b[f])break a}f>e&&this.badarg("format",1,e);if(f<e){g=Array(b.length+e-f);e-=f;j=0;for(;0<e;e--,j++)g[j]=" ";this.arraycopy(b,0,g,j,b.length);b=g}}if(0<a){e=b.length-1;f=b.length-1;a:for(;0<e;e--,f--)if("E"==b[f])break a;if(0==f){g=Array(b.length+a+2);this.arraycopy(b,0,g,0,b.length);a+=2;j=b.length;for(;0<a;a--,j++)g[j]=" ";b=g}else if(l=b.length-f-2,l>a&&
this.badarg("format",3,a),l<a){g=Array(b.length+a-l);this.arraycopy(b,0,g,0,f+2);a-=l;j=f+2;for(;0<a;a--,j++)g[j]="0";this.arraycopy(b,f+2,g,j,l);b=g}}return b.join("")},F=function(){var a;if(2==F.arguments.length)a=F.arguments[1];else if(1==F.arguments.length)a=this.ROUND_UNNECESSARY;else throw"setScale(): "+F.arguments.length+" given; expected 1 or 2";var b=F.arguments[0],c,d;c=c=0;c=this.scale();if(c==b&&this.form==m.prototype.PLAIN)return this;d=this.clone(this);if(c<=b)c=0==c?d.exp+b:b-c,d.mant=
this.extend(d.mant,d.mant.length+c),d.exp=-b;else{if(0>b)throw"setScale(): Negative scale: "+b;c=d.mant.length-(c-b);d=d.round(c,a);d.exp!=-b&&(d.mant=this.extend(d.mant,d.mant.length+1),d.exp-=1)}d.form=m.prototype.PLAIN;return d};v=function(){var a,b=0,c=0;a=Array(190);b=0;a:for(;189>=b;b++){c=b-90;if(0<=c){a[b]=c%10;h.prototype.bytecar[b]=G(c,10);continue a}c+=100;a[b]=c%10;h.prototype.bytecar[b]=G(c,10)-10}return a};var u=function(){var a,b;if(2==u.arguments.length)a=u.arguments[0],b=u.arguments[1];
else if(1==u.arguments.length)b=u.arguments[0],a=b.digits,b=b.roundingMode;else throw"round(): "+u.arguments.length+" arguments given; expected 1 or 2";var c,d,e=!1,i=0,f;c=null;c=this.mant.length-a;if(0>=c)return this;this.exp+=c;c=this.ind;d=this.mant;0<a?(this.mant=Array(a),this.arraycopy(d,0,this.mant,0,a),e=!0,i=d[a]):(this.mant=this.ZERO.mant,this.ind=this.iszero,e=!1,i=0==a?d[0]:0);f=0;if(b==this.ROUND_HALF_UP)5<=i&&(f=c);else if(b==this.ROUND_UNNECESSARY){if(!this.allzero(d,a))throw"round(): Rounding necessary";
}else if(b==this.ROUND_HALF_DOWN)5<i?f=c:5==i&&(this.allzero(d,a+1)||(f=c));else if(b==this.ROUND_HALF_EVEN)5<i?f=c:5==i&&(this.allzero(d,a+1)?1==this.mant[this.mant.length-1]%2&&(f=c):f=c);else if(b!=this.ROUND_DOWN)if(b==this.ROUND_UP)this.allzero(d,a)||(f=c);else if(b==this.ROUND_CEILING)0<c&&(this.allzero(d,a)||(f=c));else if(b==this.ROUND_FLOOR)0>c&&(this.allzero(d,a)||(f=c));else throw"round(): Bad round value: "+b;0!=f&&(this.ind==this.iszero?(this.mant=this.ONE.mant,this.ind=f):(this.ind==
this.isneg&&(f=-f),c=this.byteaddsub(this.mant,this.mant.length,this.ONE.mant,1,f,e),c.length>this.mant.length?(this.exp++,this.arraycopy(c,0,this.mant,0,this.mant.length)):this.mant=c));if(this.exp>this.MaxExp)throw"round(): Exponent Overflow: "+this.exp;return this};h.prototype.div=G;h.prototype.arraycopy=function(a,b,c,d,e){var i;if(d>b)for(i=e-1;0<=i;--i)c[i+d]=a[i+b];else for(i=0;i<e;++i)c[i+d]=a[i+b]};h.prototype.createArrayWithZeros=K;h.prototype.abs=H;h.prototype.add=w;h.prototype.compareTo=
x;h.prototype.divide=p;h.prototype.divideInteger=y;h.prototype.max=z;h.prototype.min=A;h.prototype.multiply=B;h.prototype.negate=I;h.prototype.plus=J;h.prototype.pow=C;h.prototype.remainder=D;h.prototype.subtract=E;h.prototype.equals=function(a){var b=0,c=null,d=null;if(null==a||!(a instanceof h)||this.ind!=a.ind)return!1;if(this.mant.length==a.mant.length&&this.exp==a.exp&&this.form==a.form){c=this.mant.length;b=0;for(;0<c;c--,b++)if(this.mant[b]!=a.mant[b])return!1}else{c=this.layout();d=a.layout();
if(c.length!=d.length)return!1;a=c.length;b=0;for(;0<a;a--,b++)if(c[b]!=d[b])return!1}return!0};h.prototype.format=r;h.prototype.intValueExact=function(){var a,b=0,c,d=0;a=0;if(this.ind==this.iszero)return 0;a=this.mant.length-1;if(0>this.exp){a+=this.exp;if(!this.allzero(this.mant,a+1))throw"intValueExact(): Decimal part non-zero: "+this.toString();if(0>a)return 0;b=0}else{if(9<this.exp+a)throw"intValueExact(): Conversion overflow: "+this.toString();b=this.exp}c=0;var e=a+b,d=0;for(;d<=e;d++)c*=
10,d<=a&&(c+=this.mant[d]);if(9==a+b&&(a=G(c,1E9),a!=this.mant[0])){if(-2147483648==c&&this.ind==this.isneg&&2==this.mant[0])return c;throw"intValueExact(): Conversion overflow: "+this.toString();}return this.ind==this.ispos?c:-c};h.prototype.movePointLeft=function(a){var b;b=this.clone(this);b.exp-=a;return b.finish(this.plainMC,!1)};h.prototype.movePointRight=function(a){var b;b=this.clone(this);b.exp+=a;return b.finish(this.plainMC,!1)};h.prototype.scale=function(){return 0<=this.exp?0:-this.exp};
h.prototype.setScale=F;h.prototype.signum=function(){return this.ind};h.prototype.toString=function(){return this.layout().join("")};h.prototype.layout=function(){var a,b=0,b=null,c=0,d=0;a=0;var d=null,e,b=0;a=Array(this.mant.length);c=this.mant.length;b=0;for(;0<c;c--,b++)a[b]=this.mant[b]+"";if(this.form!=m.prototype.PLAIN){b="";this.ind==this.isneg&&(b+="-");c=this.exp+a.length-1;if(this.form==m.prototype.SCIENTIFIC)b+=a[0],1<a.length&&(b+="."),b+=a.slice(1).join("");else if(d=c%3,0>d&&(d=3+d),
c-=d,d++,d>=a.length){b+=a.join("");for(a=d-a.length;0<a;a--)b+="0"}else b+=a.slice(0,d).join(""),b=b+"."+a.slice(d).join("");0!=c&&(0>c?(a="-",c=-c):a="+",b+="E",b+=a,b+=c);return b.split("")}if(0==this.exp){if(0<=this.ind)return a;d=Array(a.length+1);d[0]="-";this.arraycopy(a,0,d,1,a.length);return d}c=this.ind==this.isneg?1:0;e=this.exp+a.length;if(1>e){b=c+2-this.exp;d=Array(b);0!=c&&(d[0]="-");d[c]="0";d[c+1]=".";var i=-e,b=c+2;for(;0<i;i--,b++)d[b]="0";this.arraycopy(a,0,d,c+2-e,a.length);return d}if(e>
a.length){d=Array(c+e);0!=c&&(d[0]="-");this.arraycopy(a,0,d,c,a.length);e-=a.length;b=c+a.length;for(;0<e;e--,b++)d[b]="0";return d}b=c+1+a.length;d=Array(b);0!=c&&(d[0]="-");this.arraycopy(a,0,d,c,e);d[c+e]=".";this.arraycopy(a,e,d,c+e+1,a.length-e);return d};h.prototype.intcheck=function(a,b){var c;c=this.intValueExact();if(c<a||c>b)throw"intcheck(): Conversion overflow: "+c;return c};h.prototype.dodivide=function(a,b,c,d){var e,i,f,g,j,l,k,q,t,s=0,n=0,p=0;i=i=n=n=n=0;e=null;e=e=0;e=null;c.lostDigits&&
this.checkdigits(b,c.digits);e=this;if(0==b.ind)throw"dodivide(): Divide by 0";if(0==e.ind)return c.form!=m.prototype.PLAIN?this.ZERO:-1==d?e:e.setScale(d);i=c.digits;0<i?(e.mant.length>i&&(e=this.clone(e).round(c)),b.mant.length>i&&(b=this.clone(b).round(c))):(-1==d&&(d=e.scale()),i=e.mant.length,d!=-e.exp&&(i=i+d+e.exp),i=i-(b.mant.length-1)-b.exp,i<e.mant.length&&(i=e.mant.length),i<b.mant.length&&(i=b.mant.length));f=e.exp-b.exp+e.mant.length-b.mant.length;if(0>f&&"D"!=a)return"I"==a?this.ZERO:
this.clone(e).finish(c,!1);g=new h;g.ind=e.ind*b.ind;g.exp=f;g.mant=this.createArrayWithZeros(i+1);j=i+i+1;f=this.extend(e.mant,j);l=j;k=b.mant;q=j;t=10*k[0]+1;1<k.length&&(t+=k[1]);j=0;a:for(;;){s=0;b:for(;;){if(l<q)break b;if(l==q){c:do{var r=l,n=0;for(;0<r;r--,n++){p=n<k.length?k[n]:0;if(f[n]<p)break b;if(f[n]>p)break c}s++;g.mant[j]=s;j++;f[0]=0;break a}while(0);n=f[0]}else n=10*f[0],1<l&&(n+=f[1]);n=G(10*n,t);0==n&&(n=1);s+=n;f=this.byteaddsub(f,l,k,q,-n,!0);if(0!=f[0])continue b;p=l-2;n=0;c:for(;n<=
p;n++){if(0!=f[n])break c;l--}if(0==n)continue b;this.arraycopy(f,n,f,0,l)}if(0!=j||0!=s){g.mant[j]=s;j++;if(j==i+1)break a;if(0==f[0])break a}if(0<=d&&-g.exp>d)break a;if("D"!=a&&0>=g.exp)break a;g.exp-=1;q--}0==j&&(j=1);if("I"==a||"R"==a){if(j+g.exp>i)throw"dodivide(): Integer overflow";if("R"==a){do{if(0==g.mant[0])return this.clone(e).finish(c,!1);if(0==f[0])return this.ZERO;g.ind=e.ind;i=i+i+1-e.mant.length;g.exp=g.exp-i+e.exp;i=l;n=i-1;b:for(;1<=n&&g.exp<e.exp&&g.exp<b.exp;n--){if(0!=f[n])break b;
i--;g.exp+=1}i<f.length&&(e=Array(i),this.arraycopy(f,0,e,0,i),f=e);g.mant=f;return g.finish(c,!1)}while(0)}}else 0!=f[0]&&(e=g.mant[j-1],0==e%5&&(g.mant[j-1]=e+1));if(0<=d)return j!=g.mant.length&&(g.exp-=g.mant.length-j),e=g.mant.length-(-g.exp-d),g.round(e,c.roundingMode),g.exp!=-d&&(g.mant=this.extend(g.mant,g.mant.length+1),g.exp-=1),g.finish(c,!0);if(j==g.mant.length)g.round(c);else{if(0==g.mant[0])return this.ZERO;e=Array(j);this.arraycopy(g.mant,0,e,0,j);g.mant=e}return g.finish(c,!0)};h.prototype.bad=
function(a,b){throw a+"Not a number: "+b;};h.prototype.badarg=function(a,b,c){throw"Bad argument "+b+" to "+a+": "+c;};h.prototype.extend=function(a,b){var c;if(a.length==b)return a;c=K(b);this.arraycopy(a,0,c,0,a.length);return c};h.prototype.byteaddsub=function(a,b,c,d,e,i){var f,g,j,h,k,m,p=0;f=m=0;f=a.length;g=c.length;b-=1;h=j=d-1;h<b&&(h=b);d=null;i&&h+1==f&&(d=a);null==d&&(d=this.createArrayWithZeros(h+1));k=!1;1==e?k=!0:-1==e&&(k=!0);m=0;p=h;a:for(;0<=p;p--){0<=b&&(b<f&&(m+=a[b]),b--);0<=
j&&(j<g&&(m=k?0<e?m+c[j]:m-c[j]:m+c[j]*e),j--);if(10>m&&0<=m){do{d[p]=m;m=0;continue a}while(0)}m+=90;d[p]=this.bytedig[m];m=this.bytecar[m]}if(0==m)return d;c=null;i&&h+2==a.length&&(c=a);null==c&&(c=Array(h+2));c[0]=m;a=h+1;f=0;for(;0<a;a--,f++)c[f+1]=d[f];return c};h.prototype.diginit=v;h.prototype.clone=function(a){var b;b=new h;b.ind=a.ind;b.exp=a.exp;b.form=a.form;b.mant=a.mant;return b};h.prototype.checkdigits=function(a,b){if(0!=b){if(this.mant.length>b&&!this.allzero(this.mant,b))throw"Too many digits: "+
this.toString();if(null!=a&&a.mant.length>b&&!this.allzero(a.mant,b))throw"Too many digits: "+a.toString();}};h.prototype.round=u;h.prototype.allzero=function(a,b){var c=0;0>b&&(b=0);var d=a.length-1,c=b;for(;c<=d;c++)if(0!=a[c])return!1;return!0};h.prototype.finish=function(a,b){var c=0,d=0,e=null,c=d=0;0!=a.digits&&this.mant.length>a.digits&&this.round(a);if(b&&a.form!=m.prototype.PLAIN){c=this.mant.length;d=c-1;a:for(;1<=d;d--){if(0!=this.mant[d])break a;c--;this.exp++}c<this.mant.length&&(e=Array(c),
this.arraycopy(this.mant,0,e,0,c),this.mant=e)}this.form=m.prototype.PLAIN;c=this.mant.length;d=0;for(;0<c;c--,d++)if(0!=this.mant[d]){0<d&&(e=Array(this.mant.length-d),this.arraycopy(this.mant,d,e,0,this.mant.length-d),this.mant=e);d=this.exp+this.mant.length;if(0<d){if(d>a.digits&&0!=a.digits&&(this.form=a.form),d-1<=this.MaxExp)return this}else-5>d&&(this.form=a.form);d--;if(d<this.MinExp||d>this.MaxExp){b:do{if(this.form==m.prototype.ENGINEERING&&(c=d%3,0>c&&(c=3+c),d-=c,d>=this.MinExp&&d<=this.MaxExp))break b;
throw"finish(): Exponent Overflow: "+d;}while(0)}return this}this.ind=this.iszero;if(a.form!=m.prototype.PLAIN)this.exp=0;else if(0<this.exp)this.exp=0;else if(this.exp<this.MinExp)throw"finish(): Exponent Overflow: "+this.exp;this.mant=this.ZERO.mant;return this};h.prototype.isGreaterThan=function(a){return 0<this.compareTo(a)};h.prototype.isLessThan=function(a){return 0>this.compareTo(a)};h.prototype.isGreaterThanOrEqualTo=function(a){return 0<=this.compareTo(a)};h.prototype.isLessThanOrEqualTo=
function(a){return 0>=this.compareTo(a)};h.prototype.isPositive=function(){return 0<this.compareTo(h.prototype.ZERO)};h.prototype.isNegative=function(){return 0>this.compareTo(h.prototype.ZERO)};h.prototype.isZero=function(){return this.equals(h.prototype.ZERO)};h.ROUND_CEILING=h.prototype.ROUND_CEILING=m.prototype.ROUND_CEILING;h.ROUND_DOWN=h.prototype.ROUND_DOWN=m.prototype.ROUND_DOWN;h.ROUND_FLOOR=h.prototype.ROUND_FLOOR=m.prototype.ROUND_FLOOR;h.ROUND_HALF_DOWN=h.prototype.ROUND_HALF_DOWN=m.prototype.ROUND_HALF_DOWN;
h.ROUND_HALF_EVEN=h.prototype.ROUND_HALF_EVEN=m.prototype.ROUND_HALF_EVEN;h.ROUND_HALF_UP=h.prototype.ROUND_HALF_UP=m.prototype.ROUND_HALF_UP;h.ROUND_UNNECESSARY=h.prototype.ROUND_UNNECESSARY=m.prototype.ROUND_UNNECESSARY;h.ROUND_UP=h.prototype.ROUND_UP=m.prototype.ROUND_UP;h.prototype.ispos=1;h.prototype.iszero=0;h.prototype.isneg=-1;h.prototype.MinExp=-999999999;h.prototype.MaxExp=999999999;h.prototype.MinArg=-999999999;h.prototype.MaxArg=999999999;h.prototype.plainMC=new m(0,m.prototype.PLAIN);
h.prototype.bytecar=Array(190);h.prototype.bytedig=v();h.ZERO=h.prototype.ZERO=new h("0");h.ONE=h.prototype.ONE=new h("1");h.TEN=h.prototype.TEN=new h("10");v=h;"function"===typeof define&&null!=define.amd?define({BigDecimal:v,MathContext:m}):"object"===typeof this&&(this.BigDecimal=v,this.MathContext=m)}).call(this);

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@@ -0,0 +1,30 @@
Copyright (c) 2012 Daniel Trebbien and other contributors
Portions Copyright (c) 2003 STZ-IDA and PTV AG, Karlsruhe, Germany
Portions Copyright (c) 1995-2001 International Business Machines Corporation and others
All rights reserved.
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, provided that the above copyright notice(s) and this permission notice appear in all copies of the Software and that both the above copyright notice(s) and this permission notice appear in supporting documentation.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
Except as contained in this notice, the name of a copyright holder shall not be used in advertising or otherwise to promote the sale, use or other dealings in this Software without prior written authorization of the copyright holder.
ICU4J license - ICU4J 1.3.1 and later
COPYRIGHT AND PERMISSION NOTICE
Copyright (c) 1995-2001 International Business Machines Corporation and others
All rights reserved.
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, provided that the above copyright notice(s) and this permission notice appear in all copies of the Software and that both the above copyright notice(s) and this permission notice appear in supporting documentation.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
Except as contained in this notice, the name of a copyright holder shall not be used in advertising or otherwise to promote the sale, use or other dealings in this Software without prior written authorization of the copyright holder.
--------------------------------------------------------------------------------
All trademarks and registered trademarks mentioned herein are the property of their respective owners.