85bf1341f3
Frontend Enhancements: - Complete React TypeScript frontend with modern UI components - Distributed workflows management interface with real-time updates - Socket.IO integration for live agent status monitoring - Agent management dashboard with cluster visualization - Project management interface with metrics and task tracking - Responsive design with proper error handling and loading states Backend Infrastructure: - Distributed coordinator for multi-agent workflow orchestration - Cluster management API with comprehensive agent operations - Enhanced database models for agents and projects - Project service for filesystem-based project discovery - Performance monitoring and metrics collection - Comprehensive API documentation and error handling Documentation: - Complete distributed development guide (README_DISTRIBUTED.md) - Comprehensive development report with architecture insights - System configuration templates and deployment guides The platform now provides a complete web interface for managing the distributed AI cluster with real-time monitoring, workflow orchestration, and agent coordination capabilities. 🤖 Generated with [Claude Code](https://claude.ai/code) Co-Authored-By: Claude <noreply@anthropic.com>
1313 lines
51 KiB
HTML
1313 lines
51 KiB
HTML
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</head>
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<body>
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<div class="nav">
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<a class='nav-title' href="#">API</a>
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<b>CONSTRUCTOR</b>
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<ul><li><a href="#decimal">Decimal</a></li></ul>
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<a href="#methods">Methods</a>
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<ul>
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<li><a href="#Dclone" >clone</a></li>
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<li><a href="#Dconfig">config</a></li>
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</ul>
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<a href="#constructor-properties">Properties</a>
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<ul>
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<li><a href="#precision">precision</a></li>
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<li><a href="#rounding" >rounding</a></li>
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<li><a href="#toExpNeg" >toExpNeg</a></li>
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<li><a href="#toExpPos" >toExpPos</a></li>
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<li><a href="#ln10" >LN10</a></li>
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<li class='spacer'> </li>
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<li><a href="#modes">ROUND_UP</a></li>
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<li><a href="#modes">ROUND_DOWN</a></li>
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<li><a href="#modes">ROUND_CEIL</a></li>
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<li><a href="#modes">ROUND_FLOOR</a></li>
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<li><a href="#modes">ROUND_HALF_UP</a></li>
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<li><a href="#modes">ROUND_HALF_DOWN</a></li>
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<li><a href="#modes">ROUND_HALF_EVEN</a></li>
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<li><a href="#modes">ROUND_HALF_CEIL</a></li>
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<li><a href="#modes">ROUND_HALF_FLOOR</a></li>
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<li><a href="#modes">EUCLID</a></li>
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</ul>
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<b> INSTANCE </b>
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<a href="#prototype-methods">Methods</a>
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<ul>
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<li><a href="#abs" >absoluteValue </a><span>abs</span> </li>
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<li><a href="#cmp" >comparedTo </a><span>cmp</span> </li>
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<li><a href="#dp" >decimalPlaces </a><span>dp</span> </li>
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<li><a href="#div" >dividedBy </a><span>div</span> </li>
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<li><a href="#idiv" >dividedToIntegerBy </a><span>idiv</span> </li>
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<li><a href="#eq" >equals </a><span>eq</span> </li>
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<li><a href="#exp" >exponent </a> </li>
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<li><a href="#gt" >greaterThan </a><span>gt</span> </li>
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<li><a href="#gte" >greaterThanOrEqualTo </a><span>gte</span> </li>
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<li><a href="#isint" >isInteger </a><span>isint</span></li>
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<li><a href="#isneg" >isNegative </a><span>isneg</span></li>
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<li><a href="#ispos" >isPositive </a><span>ispos</span></li>
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<li><a href="#isZero" >isZero </a> </li>
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<li><a href="#lt" >lessThan </a><span>lt</span> </li>
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<li><a href="#lte" >lessThanOrEqualTo </a><span>lte</span> </li>
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<li><a href="#log" >logarithm </a><span>log</span> </li>
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<li><a href="#sub" >minus </a><span>sub</span> </li>
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<li><a href="#mod" >modulo </a><span>mod</span> </li>
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<li><a href="#exp" >naturalExponential </a><span>exp</span> </li>
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<li><a href="#ln" >naturalLogarithm </a><span>ln</span> </li>
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<li><a href="#neg" >negated </a><span>neg</span> </li>
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<li><a href="#add" >plus </a><span>add</span> </li>
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<li><a href="#sd" >precision </a><span>sd</span> </li>
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<li><a href="#sqrt" >squareRoot </a><span>sqrt</span> </li>
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<li><a href="#mul" >times </a><span>mul</span> </li>
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<li><a href="#todp" >toDecimalPlaces </a><span>todp</span> </li>
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<li><a href="#toExponential">toExponential </a> </li>
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<li><a href="#toFixed" >toFixed </a> </li>
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<li><a href="#toInteger" >toInteger </a><span>toint</span></li>
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<li><a href="#toJSON" >toJSON </a> </li>
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<li><a href="#toNumber" >toNumber </a> </li>
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<li><a href="#pow" >toPower </a><span>pow</span> </li>
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<li><a href="#toPrecision" >toPrecision </a> </li>
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<li><a href="#tosd" >toSignificantDigits </a><span>tosd</span> </li>
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<li><a href="#toString" >toString </a> </li>
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<li><a href="#valueOf" >valueOf </a><span>val</span> </li>
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</ul>
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<a href="#instance-properties">Properties</a>
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<ul>
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<li><a href="#digits" >d</a><span>digits</span></li>
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<li><a href="#exponent">e</a><span>exponent</span></li>
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<li><a href="#sign" >s</a><span>sign</span></li>
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</ul>
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<a href="#Errors">Errors</a>
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<a class='end' href="#faq">FAQ</a>
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</div>
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<div class="container">
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<h1>decimal<span id='js'>.js</span>-light</h1>
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<p>
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The light version of <a href='https://github.com/MikeMcl/decimal.js/'>decimal.js</a>, an
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arbitrary-precision Decimal type for JavaScript.
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</p>
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<p><a href='https://github.com/MikeMcl/decimal.js-light'>Hosted on GitHub</a>.</p>
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<h2>API</h2>
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<p>
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See the <a href='https://github.com/MikeMcl/decimal.js'>README</a> on GitHub for a quick-start
|
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introduction.
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</p>
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<p>
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In all examples below, <code>var</code> and semicolons are not shown, and if a commented-out
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value is in quotes it means <code>toString</code> has been called on the preceding expression.
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</p><br />
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<p>
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When the library is loaded, it defines a single function object,
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<a href='#decimal'><code>Decimal</code></a>, the constructor of Decimal instances.
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</p>
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<p>
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<i>
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If necessary, multiple Decimal constructors can be created, each with their own independent
|
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configuration, e.g. precision and range, which applies to all Decimal instances created from
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it.
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</i>
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</p>
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<p>
|
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<i>
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A new Decimal constructor is created by calling the <code><a href='#Dclone'>clone</a></code>
|
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method of an already existing Decimal constructor.
|
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</i>
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</p>
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<h3 class='end'>CONSTRUCTOR</h3>
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<h5 id="decimal">
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Decimal<code class='inset'>Decimal(value) <i>⇒ Decimal</i></code>
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</h5>
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<dl>
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<dt><code>value</code>: <i>number|string|Decimal</i></dt>
|
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<dd>
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Integer or float.
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</dd>
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<dd>
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The number of digits is not limited, except by JavaScript's maximum array size and, in
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practice, the processing time required.
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</dd>
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<dd>
|
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The maximum permissible exponent magnitude is approximately <code>9007199254740991</code>.
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</dd>
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<dd>
|
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String values may be in exponential (floating-point), as well as normal (fixed-point)
|
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notation.
|
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</dd>
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<dd>
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In exponential notation, <code>e</code> or <code>E</code> defines a power-of-ten exponent.
|
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</dd>
|
|
</dl>
|
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<p>Returns a new Decimal object instance.</p>
|
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<p>Throws on an invalid <code>value</code>.</p>
|
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<pre>
|
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x = new Decimal(9) // '9'
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y = new Decimal(x) // '9'
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new Decimal('5032485723458348569331745.33434346346912144534543')
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new Decimal('4.321e+4') // '43210'
|
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new Decimal('-735.0918e-430') // '-7.350918e-428'
|
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new Decimal('5.6700000') // '5.67'
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new Decimal('.5') // '0.5'
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|
|
|
new Decimal(0.046875) // '0.046875'
|
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new Decimal('0.046875000000') // '0.046875'
|
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|
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new Decimal(4.6875e-2) // '0.046875'
|
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new Decimal('468.75e-4') // '0.046875'</pre>
|
|
|
|
|
|
|
|
<h4 id="methods">Methods</h4>
|
|
<p>The methods of a Decimal constructor.</p>
|
|
|
|
|
|
|
|
<h5 id="Dclone">
|
|
clone
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|
<code class='inset'>.clone([object]) <i>⇒ Decimal constructor</i></code>
|
|
</h5>
|
|
<p><code>object</code>: <i>object</i></p>
|
|
<p>
|
|
Returns a new independent Decimal constructor with configuration settings as described by
|
|
<code>object</code> (see <a href='#Dconfig'><code>config</code></a>), or with the same
|
|
settings as <code>this</code> Decimal constructor if <code>object</code> is omitted.
|
|
</p>
|
|
<pre>Decimal.config({ precision: 5 })
|
|
D9 = Decimal.clone({ precision: 9 })
|
|
|
|
a = new Decimal(1)
|
|
b = new D9(1)
|
|
|
|
a.div(3) // 0.33333
|
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b.div(3) // 0.333333333
|
|
|
|
// D9 = Decimal.clone({ precision: 9 }) is equivalent to:
|
|
D9 = Decimal.clone()
|
|
D9.config({ precision: 9 })</pre>
|
|
<p>
|
|
It is not inefficient in terms of memory usage to use multiple Decimal constructors as
|
|
functions are shared between them.
|
|
</p>
|
|
|
|
|
|
|
|
<h5 id="Dconfig">
|
|
config<code class='inset'>.set(object) <i>⇒ Decimal constructor</i></code>
|
|
</h5>
|
|
<p><code>object</code>: <i>object</i></p>
|
|
<p>
|
|
Configures the 'global' settings for <code>this</code> particular Decimal constructor, i.e.
|
|
the settings which apply to operations performed on the Decimal instances created by it.
|
|
</p>
|
|
<p>Returns <code>this</code> Decimal constructor.</p>
|
|
<p>
|
|
The configuration object, <code>object</code>, can contain some or all of the properties
|
|
described in detail at <a href="#constructor-properties">Properties</a> and shown in the
|
|
example below.
|
|
</p>
|
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<p>
|
|
The values of the configuration object properties are checked for validity and then stored as
|
|
equivalently-named properties of <code>this</code> Decimal constructor.
|
|
</p>
|
|
<p>Throws on an invalid <code>object</code> or configuration property value.</p>
|
|
<pre>
|
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// Defaults
|
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Decimal.config({
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precision: 20,
|
|
rounding: 4,
|
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toExpNeg: -7,
|
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toExpPos: 21,
|
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LN10: new Decimal('2.30258509299404568401799145468436...')
|
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})
|
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|
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Decimal.set({ rounding: Decimal.ROUND_CEIL })
|
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</pre>
|
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<p>
|
|
The properties of a Decimal constructor can also be set by direct assignment, but that will
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by-pass the validity checking that this method performs - which is not a problem if the user
|
|
knows that the checks are unnecessary.
|
|
</p>
|
|
|
|
|
|
|
|
<h4 id="constructor-properties">Properties</h4>
|
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<p>The properties of a Decimal constructor.</p>
|
|
|
|
|
|
|
|
<h6 id='configProps'>Configuration properties</h6>
|
|
<p>
|
|
The values of the configuration properties <a href='#precision'><code>precision</code></a>,
|
|
<a href='#rounding'><code>rounding</code></a>, <a href='#toExpNeg'><code>toExpNeg</code></a>
|
|
and <a href='#toExpPos'><code>toExpPos</code></a> are set using the
|
|
<a href='#Dconfig'><code>config</code></a> method.
|
|
</p>
|
|
<p>
|
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As simple object properties they can be set directly without using
|
|
<a href='#Dconfig'><code>config</code></a>, and it is fine to do so, but the values assigned
|
|
will not then be checked for validity. For example:
|
|
</p>
|
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<pre>Decimal.config({ precision: 0 })
|
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// '[DecimalError] Invalid argument: precision: 0'
|
|
|
|
Decimal.precision = 0
|
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// No error is thrown and the results of calculations are unreliable</pre>
|
|
|
|
|
|
|
|
<h5 id="precision">precision</h5>
|
|
<p>
|
|
<i>number</i>: integer, <code>1</code> to <code>1e+9</code> inclusive<br />
|
|
Default value: <code>20</code>
|
|
</p>
|
|
<p>The <i>maximum</i> number of significant digits of the result of an operation.</p>
|
|
<p>
|
|
All functions which return a Decimal will return the value to <code>precision</code>
|
|
significant digits except <a href='#decimal'><code>Decimal</code></a>,
|
|
<a href='#abs'><code>absoluteValue</code></a>,
|
|
<a href='#neg'><code>negated</code></a>, <a href='#round'><code>toInteger</code></a>, and
|
|
<a href='#todp'><code>toDecimalPlaces</code></a>.
|
|
</p>
|
|
<pre>Decimal.config({ precision: 5 })
|
|
Decimal.precision // 5</pre>
|
|
|
|
|
|
|
|
<h5 id="rounding">rounding</h5>
|
|
<p>
|
|
<i>number</i>: integer, <code>0</code> to <code>8</code> inclusive<br />
|
|
Default value: <code>4</code> <a href="#modes">(<code>ROUND_HALF_UP</code>)</a>
|
|
</p>
|
|
<p>
|
|
The default rounding mode used by <a href='#round'><code>toInteger</code></a>,
|
|
<a href='#todp'><code>toDecimalPlaces</code></a>,
|
|
<a href='#toExponential'><code>toExponential</code></a>,
|
|
<a href='#toFixed'><code>toFixed</code></a>,
|
|
<a href='#toPrecision'><code>toPrecision</code></a> and
|
|
<a href='#tosd'><code>toSignificantDigits</code></a>.
|
|
</p>
|
|
<p>
|
|
The <a href='#modes'>rounding modes</a> are available as enumerated properties of the
|
|
constructor.
|
|
</p>
|
|
<pre>Decimal.config({ rounding: Decimal.ROUND_UP })
|
|
Decimal.config({ rounding: 0 }) // equivalent
|
|
Decimal.rounding // 0</pre>
|
|
|
|
|
|
|
|
<h5 id="toExpNeg">toExpNeg</h5>
|
|
<p>
|
|
<i>number</i>: integer, <code>-9e15</code> to <code>0</code> inclusive<br />
|
|
Default value: <code>-7</code>
|
|
</p>
|
|
<p>
|
|
The negative exponent value at and below which <a href='#toString'><code>toString</code></a>
|
|
returns exponential notation.
|
|
</p>
|
|
<pre>Decimal.config({ toExpNeg: -7 })
|
|
Decimal.toExpNeg // -7
|
|
new Decimal(0.00000123) // '0.00000123' e is -6
|
|
new Decimal(0.000000123) // '1.23e-7'
|
|
|
|
// Always return exponential notation:
|
|
Decimal.config({ toExpNeg: 0 })</pre>
|
|
<p>
|
|
JavaScript numbers use exponential notation for negative exponents of <code>-7</code> and
|
|
below.
|
|
</p>
|
|
<p>
|
|
Regardless of the value of <code>toExpNeg</code>, the
|
|
<a href='#toFixed'><code>toFixed</code></a> method will always return a value in normal
|
|
notation and the <a href='#toExponential'><code>toExponential</code></a> method will always
|
|
return a value in exponential form.
|
|
</p>
|
|
|
|
|
|
|
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<h5 id="toExpPos">toExpPos</h5>
|
|
<p>
|
|
<i>number</i>: integer, <code>0</code> to <code>9e15</code> inclusive<br />
|
|
Default value: <code>20</code>
|
|
</p>
|
|
<p>
|
|
The positive exponent value at and above which <a href='#toString'><code>toString</code></a>
|
|
returns exponential notation.
|
|
</p>
|
|
<pre>Decimal.config({ toExpPos: 2 })
|
|
Decimal.toExpPos // 2
|
|
new Decimal(12.3) // '12.3' e is 1
|
|
new Decimal(123) // '1.23e+2'
|
|
|
|
// Always return exponential notation:
|
|
Decimal.config({ toExpPos: 0 })</pre>
|
|
<p>
|
|
JavaScript numbers use exponential notation for positive exponents of <code>20</code> and
|
|
above.
|
|
</p>
|
|
<p>
|
|
Regardless of the value of <code>toExpPos</code>, the
|
|
<a href='#toFixed'><code>toFixed</code></a> method will always return a value in normal
|
|
notation and the <a href='#toExponential'><code>toExponential</code></a> method will always
|
|
return a value in exponential form.
|
|
</p>
|
|
|
|
|
|
|
|
<h5 id="ln10">LN10</h5>
|
|
<p>
|
|
<i>string|Decimal</i>: the natural logarithm of <code>10</code><br />
|
|
The default value has <code>115</code> digits
|
|
</p>
|
|
<p>
|
|
The maximum precision of the <a href='#exp'><code>naturalExponential</code></a>,
|
|
<a href='#ln'><code>naturalLogarithm</code></a>, <a href='#log'><code>logarithm</code></a>,
|
|
and <a href='#pow'><code>toPower</code></a> methods is determined by the precision of the
|
|
value of <code>LN10</code>.
|
|
</p>
|
|
<p>
|
|
The default value of <code>LN10</code> enables a maximum precision of about <code>100</code>
|
|
digits. To increase this, assign a new value to <code>LN10</code> using a string or Decimal
|
|
value with about 15 digits more than the maximum precision required.
|
|
</p>
|
|
<p>
|
|
An error will be thrown if the <code>LN10</code> value does not have sufficient precision to
|
|
enable an operation to be performed.
|
|
</p>
|
|
<pre>
|
|
Decimal.config({ LN10: '2.3025850929940456840179914546843642076011014886287729760333279009' })
|
|
|
|
Decimal.LN10.toFixed(5) // ''2.30259'</pre>
|
|
|
|
|
|
|
|
<h6 id="modes">Rounding modes</h6>
|
|
<p>
|
|
The library's enumerated rounding modes are stored as properties of the Decimal constructor.
|
|
<br />They are not referenced internally by the library itself.
|
|
</p>
|
|
<p>Rounding modes 0 to 6 (inclusive) are the same as those of Java's BigDecimal class.</p>
|
|
<table>
|
|
<tr><th>Property</th><th>Value</th><th>Description</th></tr>
|
|
<tr><td><b>ROUND_UP</b></td><td class='centre'>0</td><td>Rounds away from zero</td></tr>
|
|
<tr><td><b>ROUND_DOWN</b></td><td class='centre'>1</td><td>Rounds towards zero</td></tr>
|
|
<tr><td><b>ROUND_CEIL</b></td><td class='centre'>2</td><td>Rounds towards Infinity</td></tr>
|
|
<tr><td><b>ROUND_FLOOR</b></td><td class='centre'>3</td><td>Rounds towards -Infinity</td></tr>
|
|
<tr>
|
|
<td><b>ROUND_HALF_UP</b></td><td class='centre'>4</td>
|
|
<td>Rounds towards nearest neighbour.<br />If equidistant, rounds away from zero</td>
|
|
</tr>
|
|
<tr>
|
|
<td><b>ROUND_HALF_DOWN</b></td><td class='centre'>5</td>
|
|
<td>Rounds towards nearest neighbour.<br />If equidistant, rounds towards zero</td>
|
|
</tr>
|
|
<tr>
|
|
<td><b>ROUND_HALF_EVEN</b></td><td class='centre'>6</td>
|
|
<td>
|
|
Rounds towards nearest neighbour.<br />If equidistant, rounds towards even neighbour
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td><b>ROUND_HALF_CEIL</b></td><td class='centre'>7</td>
|
|
<td>Rounds towards nearest neighbour.<br />If equidistant, rounds towards Infinity</td>
|
|
</tr>
|
|
<tr>
|
|
<td><b>ROUND_HALF_FLOOR</b></td><td class='centre'>8</td>
|
|
<td>Rounds towards nearest neighbour.<br />If equidistant, rounds towards -Infinity</td>
|
|
</tr>
|
|
</table>
|
|
<pre>Decimal.config({ rounding: Decimal.ROUND_CEIL })
|
|
Decimal.config({ rounding: 2 }) // equivalent
|
|
Decimal.rounding // 2</pre>
|
|
|
|
|
|
|
|
|
|
<h3>INSTANCE</h3>
|
|
|
|
<h4 id="prototype-methods">Methods</h4>
|
|
<p>The methods inherited by a Decimal instance from its constructor's prototype object.</p>
|
|
<p>A Decimal instance is immutable in the sense that it is not changed by its methods.</p>
|
|
<p>Methods that return a Decimal can be chained:</p>
|
|
<pre>x = new Decimal(2).times('999.999999999999999').dividedBy(4).toFixed(2)</pre>
|
|
<p>Methods do not round their arguments before execution.</p>
|
|
<p>
|
|
Many method names have a shorter alias. (Internally, the library always uses the shorter
|
|
method names.)
|
|
</p>
|
|
|
|
|
|
|
|
<h5 id="abs">absoluteValue<code class='inset'>.abs() <i>⇒ Decimal</i></code></h5>
|
|
<p>
|
|
Returns a new Decimal whose value is the absolute value, i.e. the magnitude, of the value of
|
|
this Decimal.
|
|
</p>
|
|
<p>
|
|
The return value is not affected by the value of the
|
|
<a href='#precision'><code>precision</code></a> setting.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(-0.8)
|
|
y = x.absoluteValue() // '0.8'
|
|
z = y.abs() // '0.8'</pre>
|
|
|
|
|
|
|
|
<h5 id="cmp">comparedTo<code class='inset'>.cmp(x) <i>⇒ number</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<table>
|
|
<tr><th>Returns</th><th> </th></tr>
|
|
<tr>
|
|
<td class='centre'><code>1</code></td>
|
|
<td>if the value of this Decimal is greater than the value of <code>x</code></td>
|
|
</tr>
|
|
<tr>
|
|
<td class='centre'><code>-1</code></td>
|
|
<td>if the value of this Decimal is less than the value of <code>x</code></td>
|
|
</tr>
|
|
<tr>
|
|
<td class='centre'><code>0</code></td>
|
|
<td>if this Decimal and <code>x</code> have the same value</td>
|
|
</tr>
|
|
</table>
|
|
<pre>
|
|
x = new Decimal(4)
|
|
y = new Decimal(5)
|
|
x.comparedTo(y) // -1
|
|
x.comparedTo(x.plus(1)) // 0</pre>
|
|
|
|
|
|
|
|
<h5 id="dp">decimalPlaces<code class='inset'>.dp() <i>⇒ number</i></code></h5>
|
|
<p>
|
|
Returns the number of decimal places, i.e. the number of digits after the decimal point, of
|
|
the value of this Decimal.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(1.234)
|
|
x.decimalPlaces() // '3'
|
|
y = new Decimal(987.654321)
|
|
y.dp() // '6'</pre>
|
|
|
|
|
|
|
|
<h5 id="div">dividedBy<code class='inset'>.div(x) <i>⇒ Decimal</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal divided by <code>x</code>,
|
|
truncated to <a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(355)
|
|
y = new Decimal(113)
|
|
x.dividedBy(y) // '3.14159292035398230088'
|
|
x.div(5) // '71'</pre>
|
|
|
|
|
|
|
|
<h5 id="idiv">
|
|
dividedToIntegerBy<code class='inset'>.idiv(x) <i>⇒ Decimal</i></code>
|
|
</h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Return a new Decimal whose value is the integer part of dividing this Decimal by
|
|
<code>x</code>, truncated to <code><a href='#precision'>precision</a></code> significant
|
|
digits.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(5)
|
|
y = new Decimal(3)
|
|
x.dividedToIntegerBy(y) // '1'
|
|
x.idiv(0.7) // '7'</pre>
|
|
|
|
|
|
|
|
<h5 id="eq">equals<code class='inset'>.eq(x) <i>⇒ boolean</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns <code>true</code> if the value of this Decimal equals the value of <code>x</code>,
|
|
otherwise returns <code>false</code>.
|
|
</p>
|
|
<p>Note: This method uses the <code>cmp</code> method internally.</p>
|
|
<pre>
|
|
0 === 1e-324 // true
|
|
x = new Decimal(0)
|
|
x.equals('1e-324') // false</pre>
|
|
|
|
|
|
|
|
<h5 id="exp">exponent<code class='inset'>.exponent() <i>⇒ number</i></code></h5>
|
|
<p>Returns the exponent value of this Decimal.</p>
|
|
<pre>
|
|
x = new Decimal(1234.567)
|
|
x.exponent() // 3</pre>
|
|
|
|
|
|
|
|
<h5 id="gt">greaterThan<code class='inset'>.gt(x) <i>⇒ boolean</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns <code>true</code> if the value of this Decimal is greater than the value of
|
|
<code>x</code>, otherwise returns <code>false</code>.
|
|
</p>
|
|
<p>Note: This method uses the <code>cmp</code> method internally.</p>
|
|
<pre>
|
|
0.1 > (0.3 - 0.2) // true
|
|
x = new Decimal(0.1)
|
|
x.greaterThan(Decimal(0.3).minus(0.2)) // false
|
|
new Decimal(0).gt(x) // false</pre>
|
|
|
|
|
|
|
|
<h5 id="gte">
|
|
greaterThanOrEqualTo<code class='inset'>.gte(x) <i>⇒ boolean</i></code>
|
|
</h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns <code>true</code> if the value of this Decimal is greater than or equal to the value
|
|
of <code>x</code>, otherwise returns <code>false</code>.
|
|
</p>
|
|
<p>Note: This method uses the <code>cmp</code> method internally.</p>
|
|
<pre>
|
|
(0.3 - 0.2) >= 0.1 // false
|
|
x = new Decimal(0.3).minus(0.2)
|
|
x.greaterThanOrEqualTo(0.1) // true
|
|
new Decimal(1).gte(x) // true</pre>
|
|
|
|
|
|
|
|
<h5 id="isint">isInteger<code class='inset'>.isint() <i>⇒ boolean</i></code></h5>
|
|
<p>
|
|
Returns <code>true</code> if the value of this Decimal is a whole number, otherwise returns
|
|
<code>false</code>.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(1)
|
|
x.isInteger() // true
|
|
y = new Decimal(123.456)
|
|
y.isint() // false</pre>
|
|
|
|
|
|
|
|
<h5 id="isneg">isNegative<code class='inset'>.isneg() <i>⇒ boolean</i></code></h5>
|
|
<p>
|
|
Returns <code>true</code> if the value of this Decimal is negative, otherwise returns
|
|
<code>false</code>.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(0)
|
|
x.isNegative() // false
|
|
y = new Decimal(2)
|
|
y.isneg // false</pre>
|
|
<p>Note: <code>n < 0</code> can be used if <code>n <= -Number.MIN_VALUE</code>.</p>
|
|
|
|
|
|
|
|
<h5 id="ispos">isPositive<code class='inset'>.ispos() <i>⇒ boolean</i></code></h5>
|
|
<p>
|
|
Returns <code>true</code> if the value of this Decimal is positive, otherwise returns
|
|
<code>false</code>.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(0)
|
|
x.isPositive() // false
|
|
y = new Decimal(-2)
|
|
y.ispos // false</pre>
|
|
<p>Note: <code>n < 0</code> can be used if <code>n <= -Number.MIN_VALUE</code>.</p>
|
|
|
|
|
|
|
|
<h5 id="isZero">isZero<code class='inset'>.isZero() <i>⇒ boolean</i></code></h5>
|
|
<p>
|
|
Returns <code>true</code> if the value of this Decimal is zero or minus zero, otherwise
|
|
returns <code>false</code>.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(0)
|
|
x.isZero() // true</pre>
|
|
<p>Note: <code>n == 0</code> can be used if <code>n >= Number.MIN_VALUE</code>.</p>
|
|
|
|
|
|
|
|
<h5 id="lt">lessThan<code class='inset'>.lt(x) <i>⇒ boolean</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns <code>true</code> if the value of this Decimal is less than the value of
|
|
<code>x</code>, otherwise returns <code>false</code>.
|
|
</p>
|
|
<p>Note: This method uses the <code>cmp</code> method internally.</p>
|
|
<pre>
|
|
(0.3 - 0.2) < 0.1 // true
|
|
x = new Decimal(0.3).minus(0.2)
|
|
x.lessThan(0.1) // false
|
|
new Decimal(0).lt(x) // true</pre>
|
|
|
|
|
|
|
|
<h5 id="lte">lessThanOrEqualTo<code class='inset'>.lte(x) <i>⇒ boolean</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns <code>true</code> if the value of this Decimal is less than or equal to the value of
|
|
<code>x</code>, otherwise returns <code>false</code>.
|
|
</p>
|
|
<p>Note: This method uses the <code>cmp</code> method internally.</p>
|
|
<pre>
|
|
0.1 <= (0.3 - 0.2) // false
|
|
x = new Decimal(0.1)
|
|
x.lessThanOrEqualTo(Decimal(0.3).minus(0.2)) // true
|
|
new Decimal(-1).lte(x) // true</pre>
|
|
|
|
|
|
|
|
<h5 id="log">logarithm<code class='inset'>.log(x) <i>⇒ Decimal</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns a new Decimal whose value is the base <code>x</code> logarithm of the value of this
|
|
Decimal, truncated to <a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<p>
|
|
If <code>x</code> is omitted, the base 10 logarithm of the value of this Decimal will be
|
|
returned.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(1000)
|
|
x.logarithm() // '3'
|
|
y = new Decimal(256)
|
|
y.log(2) // '8'</pre>
|
|
<p>The maximum error will be <code>1</code> <i>ulp</i> (unit in the last place).</p>
|
|
<p>Logarithms to base <code>2</code> or <code>10</code> will always be correct.</p>
|
|
<p>The performance of this method degrades exponentially with increasing digits.</p>
|
|
|
|
|
|
|
|
<h5 id="sub">minus<code class='inset'>.minus(x) <i>⇒ Decimal</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal minus <code>x</code>, truncated
|
|
to <a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<pre>
|
|
0.3 - 0.1 // 0.19999999999999998
|
|
x = new Decimal(0.3)
|
|
x.minus(0.1) // '0.2'</pre>
|
|
|
|
|
|
|
|
<h5 id="mod">modulo<code class='inset'>.mod(x) <i>⇒ Decimal</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal modulo <code>x</code>,
|
|
truncated to <a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<pre>
|
|
1 % 0.9 // 0.09999999999999998
|
|
x = new Decimal(1)
|
|
y = x.modulo(0.9) // '0.1'</pre>
|
|
|
|
|
|
|
|
<h5 id="exp">naturalExponential<code class='inset'>.exp() <i>⇒ Decimal</i></code></h5>
|
|
<p>
|
|
Returns a new Decimal whose value is the base <code>e</code> (Euler's number, the base of the
|
|
natural logarithm) exponential of the value of this Decimal, truncated to
|
|
<a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<p>
|
|
The <code><a href='#ln'>naturalLogarithm</a></code> function is the inverse of this function.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(1)
|
|
x.naturalExponential() // '2.7182818284590452354'
|
|
y = new Decimal(2)
|
|
y.exp() // '7.3890560989306502272'</pre>
|
|
<p>The maximum error will be <code>1</code> <i>ulp</i> (unit in the last place).</p>
|
|
<p>The performance of this method degrades exponentially with increasing digits.</p>
|
|
|
|
|
|
|
|
<h5 id="ln">naturalLogarithm<code class='inset'>.ln() <i>⇒ Decimal</i></code></h5>
|
|
<p>
|
|
Returns a new Decimal whose value is the natural logarithm of the value of this Decimal,
|
|
truncated to <a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<p>
|
|
The natural logarithm is the inverse of the <code><a href='#exp'>naturalExponential</a></code>
|
|
function.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(10)
|
|
x.naturalLogarithm() // '2.3026'
|
|
y = new Decimal('1.23e+30')
|
|
y.ln() // '69.28'</pre>
|
|
<p>
|
|
The mathematical result of the natural logarithm function is non-terminating, unless its
|
|
argument is <code>1</code>.
|
|
</p>
|
|
<p>
|
|
The time-taken by this method increases exponentially with increasing digits.
|
|
</p>
|
|
<p>
|
|
See <a href='#ln10'>LN10</a> to configure the maximum precision available.
|
|
</p>
|
|
|
|
|
|
|
|
<h5 id="neg">negated<code class='inset'>.neg() <i>⇒ Decimal</i></code></h5>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal negated, i.e. multiplied by
|
|
<code>-1</code>.
|
|
</p>
|
|
<p>
|
|
The return value is not affected by the value of the
|
|
<a href='#precision'><code>precision</code></a> setting.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(1.8)
|
|
x.negated() // '-1.8'
|
|
y = new Decimal(-1.3)
|
|
y.neg() // '1.3'</pre>
|
|
|
|
|
|
|
|
<h5 id="add">plus<code class='inset'>.plus(x) <i>⇒ Decimal</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal plus <code>x</code>, truncated
|
|
to <a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<pre>
|
|
0.1 + 0.2 // 0.30000000000000004
|
|
x = new Decimal(0.1)
|
|
y = x.plus(0.2) // '0.3'
|
|
new Decimal(0.7).plus(x).plus(y) // '1.1'</pre>
|
|
|
|
|
|
|
|
<h5 id="sd">precision<code class='inset'>.sd([include_zeros]) <i>⇒ number</i></code></h5>
|
|
<p>Returns the number of significant digits of the value of this Decimal.</p>
|
|
<p>
|
|
If <code>include_zeros</code> is <code>true</code> or <code>1</code> then any trailing zeros
|
|
of the integer part of a number are counted as significant digits, otherwise they are not.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(1.234)
|
|
x.precision() // '4'
|
|
y = new Decimal(987000)
|
|
y.sd() // '3'
|
|
y.sd(true) // '6'</pre>
|
|
|
|
|
|
|
|
<h5 id="sqrt">squareRoot<code class='inset'>.sqrt() <i>⇒ Decimal</i></code></h5>
|
|
<p>
|
|
Returns a new Decimal whose value is the square root of this Decimal, truncated to
|
|
<a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<p>
|
|
This method is much faster than using the <a href='#pow'><code>toPower</code></a> method with
|
|
an exponent of <code>0.5</code>.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(16)
|
|
x.squareRoot() // '4'
|
|
y = new Decimal(3)
|
|
y.sqrt() // '1.73205080756887729353'
|
|
y.sqrt().eq( y.pow(0.5) ) // true</pre>
|
|
|
|
|
|
|
|
<h5 id="mul">times<code class='inset'>.times(x) <i>⇒ Decimal</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i></p>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal times <code>x</code>,
|
|
truncated to <a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<pre>
|
|
0.6 * 3 // 1.7999999999999998
|
|
x = new Decimal(0.6)
|
|
y = x.times(3) // '1.8'
|
|
new Decimal('7e+500').times(y) // '1.26e+501'</pre>
|
|
|
|
|
|
|
|
<h5 id="todp">
|
|
toDecimalPlaces<code class='inset'>.todp([dp [, rm]]) <i>⇒ Decimal</i></code>
|
|
</h5>
|
|
<p>
|
|
<code>dp</code>: <i>number</i>: integer, <code>0</code> to <code>1e+9</code> inclusive<br />
|
|
<code>rm</code>: <i>number</i>: integer, <code>0</code> to <code>8</code> inclusive.
|
|
</p>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal rounded to a maximum of
|
|
<code>dp</code> decimal places using rounding mode <code>rm</code>.
|
|
</p>
|
|
<p>
|
|
If <code>dp</code> is omitted, the return value will have the same value as this Decimal.
|
|
</p>
|
|
<p>
|
|
If <code>rm</code> is omitted, rounding mode <a href='#rounding'><code>rounding</code></a>
|
|
is used.
|
|
</p>
|
|
<p>Throws on an invalid <code>dp</code> or <code>rm</code> value.</p>
|
|
<pre>
|
|
x = new Decimal(12.24567)
|
|
x.toDecimalPlaces(0) // '12'
|
|
x.toDecimalPlaces(1, 0) // '12.3'
|
|
|
|
y = new Decimal(9876.54321)
|
|
y.todp(3) // '9876.543'
|
|
y.todp(1, 0) // '9876.6'
|
|
y.todp(1, Decimal.ROUND_DOWN) // '9876.5'</pre>
|
|
|
|
|
|
|
|
<h5 id="toExponential">
|
|
toExponential<code class='inset'>.toExponential([dp [, rm]]) <i>⇒ string</i></code>
|
|
</h5>
|
|
<p>
|
|
<code>dp</code>: <i>number</i>: integer, <code>0</code> to <code>1e+9</code> inclusive<br />
|
|
<code>rm</code>: <i>number</i>: integer, <code>0</code> to <code>8</code> inclusive
|
|
</p>
|
|
<p>
|
|
Returns a string representing the value of this Decimal in exponential notation rounded
|
|
using rounding mode <code>rm</code> to <code>dp</code> decimal places, i.e with one digit
|
|
before the decimal point and <code>dp</code> digits after it.
|
|
</p>
|
|
<p>
|
|
If the value of this Decimal in exponential notation has fewer than <code>dp</code> fraction
|
|
digits, the return value will be appended with zeros accordingly.
|
|
</p>
|
|
<p>
|
|
If <code>dp</code> is omitted, the number of digits after the decimal point defaults to the
|
|
minimum number of digits necessary to represent the value exactly.
|
|
</p>
|
|
<p>
|
|
If <code>rm</code> is omitted, rounding mode <a href='#rounding'><code>rounding</code></a> is
|
|
used.
|
|
</p>
|
|
<p>Throws on an invalid <code>dp</code> or <code>rm</code> value.</p>
|
|
<pre>
|
|
x = 45.6
|
|
b = new Decimal(x)
|
|
x.toExponential() // '4.56e+1'
|
|
y.toExponential() // '4.56e+1'
|
|
x.toExponential(0) // '5e+1'
|
|
y.toExponential(0) // '5e+1'
|
|
x.toExponential(1) // '4.6e+1'
|
|
y.toExponential(1) // '4.6e+1'
|
|
y.toExponential(1, 1) // '4.5e+1' (ROUND_DOWN)
|
|
x.toExponential(3) // '4.560e+1'
|
|
y.toExponential(3) // '4.560e+1'</pre>
|
|
|
|
|
|
|
|
<h5 id="toFixed">
|
|
toFixed<code class='inset'>.toFixed([dp [, rm]]) <i>⇒ string</i></code>
|
|
</h5>
|
|
<p>
|
|
<code>dp</code>: <i>number</i>: integer, <code>0</code> to <code>1e+9</code> inclusive<br />
|
|
<code>rm</code>: <i>number</i>: integer, <code>0</code> to <code>8</code> inclusive
|
|
</p>
|
|
<p>
|
|
Returns a string representing the value of this Decimal in normal (fixed-point) notation
|
|
rounded to <code>dp</code> decimal places using rounding mode <code>rm</code>.
|
|
</p>
|
|
<p>
|
|
If the value of this Decimal in normal notation has fewer than <code>dp</code> fraction
|
|
digits, the return value will be appended with zeros accordingly.
|
|
</p>
|
|
<p>
|
|
Unlike <code>Number.prototype.toFixed</code>, which returns exponential notation if a number
|
|
is greater or equal to <code>10<sup>21</sup></code>, this method will always return normal
|
|
notation.
|
|
</p>
|
|
<p>
|
|
If <code>dp</code> is omitted, the return value will be unrounded and in normal notation. This
|
|
is unlike <code>Number.prototype.toFixed</code>, which returns the value to zero decimal
|
|
places, but is useful when because of the current
|
|
<a href="#toExpNeg"><code>toExpNeg</code></a> or
|
|
<a href="#toExpPos"><code>toExpNeg</code></a> values,
|
|
<code><a href='#toString'>toString</a></code> returns exponential notation.
|
|
</p>
|
|
<p>
|
|
If <code>rm</code> is omitted, rounding mode <a href='#rounding'><code>rounding</code></a> is
|
|
used.
|
|
</p>
|
|
<p>Throws on an invalid <code>dp</code> or <code>rm</code> value.</p>
|
|
<pre>
|
|
x = 3.456
|
|
b = new Decimal(x)
|
|
x.toFixed() // '3'
|
|
y.toFixed() // '3.456'
|
|
y.toFixed(0) // '3'
|
|
x.toFixed(2) // '3.46'
|
|
y.toFixed(2) // '3.46'
|
|
y.toFixed(2, 1) // '3.45' (ROUND_DOWN)
|
|
x.toFixed(5) // '3.45600'
|
|
y.toFixed(5) // '3.45600'</pre>
|
|
|
|
|
|
|
|
<h5 id="toInteger">toInteger<code class='inset'>.toint() <i>⇒ Decimal</i></code></h5>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal rounded to a whole number using
|
|
rounding mode <a href='#rounding'><code>rounding</code></a>.
|
|
</p>
|
|
<p>
|
|
To emulate <code>Math.round</code>, set <a href='#rounding'><code>rounding</code></a> to
|
|
<code>7</code>, i.e. <a href='#modes'><code>ROUND_HALF_CEIL</code></a>.
|
|
</p>
|
|
<pre>
|
|
Decimal.config({ rounding: 4 })
|
|
x = 1234.5
|
|
x.toInteger() // '1235'
|
|
|
|
Decimal.rounding = Decimal.ROUND_DOWN
|
|
x.toint() // '1234'
|
|
x // '1234.5'</pre>
|
|
|
|
|
|
|
|
<h5 id="toJSON">toJSON<code class='inset'>.toJSON() <i>⇒ string</i></code></h5>
|
|
<p>As <a href='#toString'><code>toString</code></a>.</p>
|
|
|
|
|
|
|
|
<h5 id="toNumber">toNumber<code class='inset'>.toNumber() <i>⇒ number</i></code></h5>
|
|
<p>Returns the value of this Decimal converted to a primitive number.</p>
|
|
<p>
|
|
Type coercion with, for example, JavaScript's unary plus operator will also work, except that
|
|
a Decimal with the value minus zero will convert to positive zero.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(456.789)
|
|
x.toNumber() // 456.789
|
|
+x // 456.789
|
|
|
|
y = new Decimal('45987349857634085409857349856430985')
|
|
y.toNumber() // 4.598734985763409e+34</pre>
|
|
|
|
|
|
|
|
<h5 id="pow">toPower<code class='inset'>.pow(x) <i>⇒ Decimal</i></code></h5>
|
|
<p><code>x</code>: <i>number|string|Decimal</i>: integer or non-integer</p>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal raised to the power
|
|
<code>x</code>, truncated to <a href='#precision'><code>precision</code></a> significant
|
|
digits.
|
|
</p>
|
|
<p>
|
|
The performance of this method degrades exponentially with increasing digits.<br />
|
|
For non-integer exponents in particular, the performance of this method may not be adequate.
|
|
</p>
|
|
<p>The maximum error will be <code>1</code> <i>ulp</i> (unit in the last place). </p>
|
|
<pre>
|
|
Math.pow(0.7, 2) // 0.48999999999999994
|
|
x = new Decimal(0.7)
|
|
x.toPower(2) // '0.49'
|
|
new Decimal(3).pow(-2) // '0.11111111111111111111'
|
|
|
|
new Decimal(1217652.23).pow('98765.489305603941')
|
|
// '4.8227010515242461181e+601039'</pre>
|
|
|
|
|
|
|
|
|
|
<h5 id="toPrecision">
|
|
toPrecision<code class='inset'>.toPrecision([sd [, rm]]) <i>⇒ string</i></code>
|
|
</h5>
|
|
<p>
|
|
<code>sd</code>: <i>number</i>: integer, <code>1</code> to <code>1e+9</code> inclusive<br />
|
|
<code>rm</code>: <i>number</i>: integer, <code>0</code> to <code>8</code> inclusive
|
|
</p>
|
|
<p>
|
|
Returns a string representing the value of this Decimal rounded to <code>sd</code> significant
|
|
digits using rounding mode <code>rm</code>.
|
|
</p>
|
|
<p>
|
|
If <code>sd</code> is less than the number of digits necessary to represent the integer part
|
|
of the value in normal (fixed-point) notation, then exponential notation is used.
|
|
</p>
|
|
<p>
|
|
If <code>sd</code> is omitted, the return value is the same as
|
|
<code><a href='#toString'>toString</a></code>.
|
|
</p>
|
|
<p>
|
|
If <code>rm</code> is omitted, rounding mode <a href='#rounding'><code>rounding</code></a> is
|
|
used.
|
|
</p>
|
|
<p>Throws on an invalid <code>sd</code> or <code>rm</code> value.</p>
|
|
<pre>
|
|
x = 45.6
|
|
b = new Decimal(x)
|
|
x.toPrecision() // '45.6'
|
|
y.toPrecision() // '45.6'
|
|
x.toPrecision(1) // '5e+1'
|
|
y.toPrecision(1) // '5e+1'
|
|
y.toPrecision(2, 0) // '4.6e+1' (ROUND_UP)
|
|
y.toPrecision(2, 1) // '4.5e+1' (ROUND_DOWN)
|
|
x.toPrecision(5) // '45.600'
|
|
y.toPrecision(5) // '45.600'</pre>
|
|
|
|
|
|
|
|
<h5 id="tosd">
|
|
toSignificantDigits<code class='inset'>.tosd([sd [, rm]]) <i>⇒ Decimal</i></code>
|
|
</h5>
|
|
<p>
|
|
<code>sd</code>: <i>number</i>: integer, <code>1</code> to <code>1e+9</code> inclusive.<br />
|
|
<code>rm</code>: <i>number</i>: integer, <code>0</code> to <code>8</code> inclusive.
|
|
</p>
|
|
<p>
|
|
Returns a new Decimal whose value is the value of this Decimal rounded to a maximum of
|
|
<code>sd</code> significant digits using rounding mode <code>rm</code>.
|
|
</p>
|
|
<p>
|
|
If <code>sd</code> is omitted, the return value will be rounded to
|
|
<a href='#precision'><code>precision</code></a> significant digits.
|
|
</p>
|
|
<p>
|
|
If <code>rm</code> is omitted, rounding mode <a href='#rounding'><code>rounding</code></a>
|
|
will be used.
|
|
</p>
|
|
<p>Throws on an invalid <code>sd</code> or <code>rm</code> value.</p>
|
|
<pre>
|
|
Decimal.config({ precision: 5, rounding: 4 })
|
|
x = new Decimal(9876.54321)
|
|
|
|
x.toSignificantDigits() // '9876.5'
|
|
x.toSignificantDigits(6) // '9876.54'
|
|
x.toSignificantDigits(6, Decimal.ROUND_UP) // '9876.55'
|
|
x.tosd(2) // '9900'
|
|
x.tosd(2, 1) // '9800'
|
|
x // '9876.54321'</pre>
|
|
|
|
|
|
|
|
<h5 id="toString">toString<code class='inset'>.toString() <i>⇒ string</i></code></h5>
|
|
<p>Returns a string representing the value of this Decimal.</p>
|
|
<p>
|
|
If this Decimal has a positive exponent that is equal to or greater than
|
|
<a href="#toExpPos"><code>toExpPos</code></a>, or a negative exponent equal to or less than
|
|
<a href="#toExpPos"><code>toExpNeg</code></a>, then exponential notation will be returned.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(750000)
|
|
x.toString() // '750000'
|
|
Decimal.config({ toExpPos: 5 })
|
|
x.toString() // '7.5e+5'
|
|
|
|
Decimal.config({ precision: 4 });
|
|
y = new Decimal('1.23456789')
|
|
y.toString() // '1.23456789'</pre>
|
|
|
|
|
|
|
|
<h5 id="valueOf">valueOf<code class='inset'>.val() <i>⇒ string</i></code></h5>
|
|
<p>As <a href='#toString'><code>toString</code></a>.</p>
|
|
|
|
|
|
|
|
|
|
|
|
<h4 id="instance-properties">Properties</h4>
|
|
<p>
|
|
The value of a Decimal is stored in a normalised base <code>10000000</code> floating point
|
|
format.
|
|
</p>
|
|
<p>
|
|
A Decimal instance is an object with three properties:
|
|
</p>
|
|
<table>
|
|
<tr>
|
|
<th>Property</th>
|
|
<th>Description</th>
|
|
<th>Type</th>
|
|
<th>Value</th>
|
|
</tr>
|
|
<tr>
|
|
<td class='centre' id='digits'><b>d</b></td>
|
|
<td>digits</td>
|
|
<td><i>number</i><code style='color:#000'>[]</code></td>
|
|
<td> Array of integers, each <code>0</code> - <code>1e7</code></td>
|
|
</tr>
|
|
<tr>
|
|
<td class='centre' id='exponent'><b>e</b></td>
|
|
<td>exponent*</td>
|
|
<td><i>number</i></td>
|
|
<td>Integer, <code>-1286742750677284</code> to <code>1286742750677284</code> inclusive</td>
|
|
</tr>
|
|
<tr>
|
|
<td class='centre' id='sign'><b>s</b></td>
|
|
<td>sign</td>
|
|
<td><i>number</i></td>
|
|
<td><code>-1</code>, <code>0</code>, or <code>1</code></td>
|
|
</tr>
|
|
</table>
|
|
<p>
|
|
*This is the exponent in base <code>10000000</code>. To get the base 10 exponent, use the
|
|
<a href='#exp'><code>exponent</code></a> method.
|
|
</p>
|
|
<p>The properties are best considered to be read-only.</p>
|
|
<p>
|
|
As with JavaScript numbers, the original exponent and fractional trailing zeros of a number
|
|
are not preserved.
|
|
</p>
|
|
<pre>
|
|
x = new Decimal(0.123) // '0.123'
|
|
x.toExponential() // '1.23e-1'
|
|
x.d // [ 1230000 ]
|
|
x.e // -1
|
|
x.s // 1
|
|
|
|
y = new Number(-123.4567000e+2) // '-12345.67'
|
|
y.toExponential() // '-1.234567e+4'
|
|
z = new Decimal('-123.4567000e+2') // '-12345.67'
|
|
z.toExponential() // '-1.234567e+4'
|
|
z.d // [ 12345, 6700000 ]
|
|
z.e // 4
|
|
z.s // -1</pre>
|
|
|
|
|
|
|
|
<h4 id='Errors'>Errors</h4>
|
|
<p>
|
|
The errors that are thrown are generic <code>Error</code> objects whose <code>message</code>
|
|
property begins with <code>"[DecimalError]"</code>.
|
|
</p>
|
|
<p>To determine if an exception is a Decimal Error:</p>
|
|
<pre>
|
|
try {
|
|
// ...
|
|
} catch (e) {
|
|
if ( e instanceof Error && /DecimalError/.test(e.message) ) {
|
|
// ...
|
|
}
|
|
}</pre>
|
|
|
|
|
|
|
|
<h2 id='faq'>FAQ</h2>
|
|
<h6>Why are trailing fractional zeros removed from Decimals?</h6>
|
|
<p>
|
|
Some arbitrary-precision libraries retain trailing fractional zeros as they can indicate the
|
|
precision of a value. This can be useful but the results of arithmetic operations can be
|
|
misleading.
|
|
</p>
|
|
<pre>
|
|
x = new BigDecimal("1.0")
|
|
y = new BigDecimal("1.1000")
|
|
z = x.add(y) // 2.1000
|
|
|
|
x = new BigDecimal("1.20")
|
|
y = new BigDecimal("3.45000")
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z = x.multiply(y) // 4.1400000</pre>
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<p>
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To specify the precision of a value is to specify that the value lies
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within a certain range.
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</p>
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<p>
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In the first example, <code>x</code> has a value of <code>1.0</code>. The trailing zero shows
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the precision of the value, implying that it is in the range <code>0.95</code> to
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<code>1.05</code>. Similarly, the precision indicated by the trailing zeros of <code>y</code>
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indicates that the value is in the range <code>1.09995</code> to <code>1.10005</code>.
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</p>
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<p>
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If we add the two lowest values in the ranges we have, <code>0.95 + 1.09995 = 2.04995</code>,
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and if we add the two highest values we have, <code>1.05 + 1.10005 = 2.15005</code>, so the
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|
range of the result of the addition implied by the precision of its operands is
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|
<code>2.04995</code> to <code>2.15005</code>.
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</p>
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<p>
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The result given by BigDecimal of <code>2.1000</code> however, indicates that the value is in
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|
the range <code>2.09995</code> to <code>2.10005</code> and therefore the precision implied by
|
|
its trailing zeros may be misleading.
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|
</p>
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<p>
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In the second example, the true range is <code>4.122744</code> to <code>4.157256</code> yet
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the BigDecimal answer of <code>4.1400000</code> indicates a range of <code>4.13999995</code>
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|
to <code>4.14000005</code>. Again, the precision implied by the trailing zeros may be
|
|
misleading.
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</p>
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<p>
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This library, like binary floating point and most calculators, does not retain trailing
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|
fractional zeros. Instead, the <code>toExponential</code>, <code>toFixed</code> and
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<code>toPrecision</code> methods enable trailing zeros to be added if and when required.<br />
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</p>
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</div>
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</body>
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</html>
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