488 lines
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HTML
488 lines
24 KiB
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<!DOCTYPE html>
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<meta name="description" content="API documentation for the Rust `num` crate.">
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<meta name="keywords" content="rust, rustlang, rust-lang, num">
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<title>num - Rust</title>
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<body class="rustdoc mod">
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things.
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<div class="sidebar-menu">☰</div>
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<p class='location'>Crate num</p><div class="sidebar-elems"><div class="block items"><ul><li><a href="#modules">Modules</a></li><li><a href="#structs">Structs</a></li><li><a href="#traits">Traits</a></li><li><a href="#functions">Functions</a></li><li><a href="#types">Type Definitions</a></li></ul></div><p class='location'></p><script>window.sidebarCurrent = {name: 'num', ty: 'mod', relpath: '../'};</script></div>
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autocomplete="off"
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type="search">
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</nav>
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<section id='main' class="content">
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<h1 class='fqn'><span class='in-band'>Crate <a class="mod" href=''>num</a></span><span class='out-of-band'><span id='render-detail'>
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<a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">
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[<span class='inner'>−</span>]
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</a>
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</span><a class='srclink' href='../src/num/lib.rs.html#11-113' title='goto source code'>[src]</a></span></h1>
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<div class='docblock'><p>A collection of numeric types and traits for Rust.</p>
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<p>This includes new types for big integers, rationals, and complex numbers,
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new traits for generic programming on numeric properties like <code>Integer</code>,
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and generic range iterators.</p>
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<h2 id="example" class="section-header"><a href="#example">Example</a></h2>
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<p>This example uses the BigRational type and <a href="https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method">Newton's method</a> to
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approximate a square root to arbitrary precision:</p>
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<pre class="rust rust-example-rendered">
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<span class="kw">extern</span> <span class="kw">crate</span> <span class="ident">num</span>;
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<span class="kw">use</span> <span class="ident">num</span>::<span class="ident">FromPrimitive</span>;
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<span class="kw">use</span> <span class="ident">num</span>::<span class="ident">bigint</span>::<span class="ident">BigInt</span>;
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<span class="kw">use</span> <span class="ident">num</span>::<span class="ident">rational</span>::{<span class="ident">Ratio</span>, <span class="ident">BigRational</span>};
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<span class="kw">fn</span> <span class="ident">approx_sqrt</span>(<span class="ident">number</span>: <span class="ident">u64</span>, <span class="ident">iterations</span>: <span class="ident">usize</span>) <span class="op">-></span> <span class="ident">BigRational</span> {
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<span class="kw">let</span> <span class="ident">start</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">BigInt</span><span class="op">></span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="ident">FromPrimitive</span>::<span class="ident">from_u64</span>(<span class="ident">number</span>).<span class="ident">unwrap</span>());
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<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">approx</span> <span class="op">=</span> <span class="ident">start</span>.<span class="ident">clone</span>();
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<span class="kw">for</span> _ <span class="kw">in</span> <span class="number">0</span>..<span class="ident">iterations</span> {
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<span class="ident">approx</span> <span class="op">=</span> (<span class="kw-2">&</span><span class="ident">approx</span> <span class="op">+</span> (<span class="kw-2">&</span><span class="ident">start</span> <span class="op">/</span> <span class="kw-2">&</span><span class="ident">approx</span>)) <span class="op">/</span>
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<span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="ident">FromPrimitive</span>::<span class="ident">from_u64</span>(<span class="number">2</span>).<span class="ident">unwrap</span>());
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}
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<span class="ident">approx</span>
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}
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<span class="kw">fn</span> <span class="ident">main</span>() {
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<span class="macro">println</span><span class="macro">!</span>(<span class="string">"{}"</span>, <span class="ident">approx_sqrt</span>(<span class="number">10</span>, <span class="number">4</span>)); <span class="comment">// prints 4057691201/1283082416</span>
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}
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</pre>
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<h2 id="compatibility" class="section-header"><a href="#compatibility">Compatibility</a></h2>
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<p>The <code>num</code> crate is tested for rustc 1.8 and greater.</p>
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</div><h2 id='modules' class='section-header'><a href="#modules">Modules</a></h2>
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<table>
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<tr class=' module-item'>
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<td><a class="mod" href="bigint/index.html"
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title='mod num::bigint'>bigint</a></td>
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<td class='docblock-short'>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="mod" href="cast/index.html"
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title='mod num::cast'>cast</a></td>
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<td class='docblock-short'>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="mod" href="complex/index.html"
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title='mod num::complex'>complex</a></td>
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<td class='docblock-short'>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="mod" href="integer/index.html"
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title='mod num::integer'>integer</a></td>
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<td class='docblock-short'>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="mod" href="iter/index.html"
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title='mod num::iter'>iter</a></td>
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<td class='docblock-short'>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="mod" href="pow/index.html"
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title='mod num::pow'>pow</a></td>
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<td class='docblock-short'>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="mod" href="rational/index.html"
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title='mod num::rational'>rational</a></td>
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<td class='docblock-short'>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="mod" href="traits/index.html"
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title='mod num::traits'>traits</a></td>
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<td class='docblock-short'>
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</td>
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</tr></table><h2 id='structs' class='section-header'><a href="#structs">Structs</a></h2>
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<table>
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<tr class=' module-item'>
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<td><a class="struct" href="struct.BigInt.html"
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title='struct num::BigInt'>BigInt</a></td>
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<td class='docblock-short'>
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<p>A big signed integer type.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="struct" href="struct.BigUint.html"
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title='struct num::BigUint'>BigUint</a></td>
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<td class='docblock-short'>
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<p>A big unsigned integer type.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="struct" href="struct.Complex.html"
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title='struct num::Complex'>Complex</a></td>
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<td class='docblock-short'>
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<p>A complex number in Cartesian form.</p>
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</td>
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</tr></table><h2 id='traits' class='section-header'><a href="#traits">Traits</a></h2>
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<table>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.Bounded.html"
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title='trait num::Bounded'>Bounded</a></td>
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<td class='docblock-short'>
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<p>Numbers which have upper and lower bounds</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.CheckedAdd.html"
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title='trait num::CheckedAdd'>CheckedAdd</a></td>
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<td class='docblock-short'>
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<p>Performs addition that returns <code>None</code> instead of wrapping around on
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overflow.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.CheckedDiv.html"
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title='trait num::CheckedDiv'>CheckedDiv</a></td>
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<td class='docblock-short'>
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<p>Performs division that returns <code>None</code> instead of panicking on division by zero and instead of
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wrapping around on underflow and overflow.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.CheckedMul.html"
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title='trait num::CheckedMul'>CheckedMul</a></td>
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<td class='docblock-short'>
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<p>Performs multiplication that returns <code>None</code> instead of wrapping around on underflow or
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overflow.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.CheckedSub.html"
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title='trait num::CheckedSub'>CheckedSub</a></td>
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<td class='docblock-short'>
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<p>Performs subtraction that returns <code>None</code> instead of wrapping around on underflow.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.Float.html"
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title='trait num::Float'>Float</a></td>
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<td class='docblock-short'>
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<p>Generic trait for floating point numbers</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.FromPrimitive.html"
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title='trait num::FromPrimitive'>FromPrimitive</a></td>
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<td class='docblock-short'>
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<p>A generic trait for converting a number to a value.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.Integer.html"
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title='trait num::Integer'>Integer</a></td>
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<td class='docblock-short'>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.Num.html"
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title='trait num::Num'>Num</a></td>
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<td class='docblock-short'>
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<p>The base trait for numeric types, covering <code>0</code> and <code>1</code> values,
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comparisons, basic numeric operations, and string conversion.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.NumCast.html"
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title='trait num::NumCast'>NumCast</a></td>
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<td class='docblock-short'>
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<p>An interface for casting between machine scalars.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.One.html"
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title='trait num::One'>One</a></td>
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<td class='docblock-short'>
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<p>Defines a multiplicative identity element for <code>Self</code>.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.PrimInt.html"
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title='trait num::PrimInt'>PrimInt</a></td>
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<td class='docblock-short'>
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</td>
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|||
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.Saturating.html"
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title='trait num::Saturating'>Saturating</a></td>
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<td class='docblock-short'>
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<p>Saturating math operations</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.Signed.html"
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title='trait num::Signed'>Signed</a></td>
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<td class='docblock-short'>
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<p>Useful functions for signed numbers (i.e. numbers that can be negative).</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.ToPrimitive.html"
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title='trait num::ToPrimitive'>ToPrimitive</a></td>
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<td class='docblock-short'>
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<p>A generic trait for converting a value to a number.</p>
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</td>
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</tr>
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<tr class=' module-item'>
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<td><a class="trait" href="trait.Unsigned.html"
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title='trait num::Unsigned'>Unsigned</a></td>
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<td class='docblock-short'>
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<p>A trait for values which cannot be negative</p>
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</td>
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</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="trait" href="trait.Zero.html"
|
|||
|
|
title='trait num::Zero'>Zero</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Defines an additive identity element for <code>Self</code>.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr></table><h2 id='functions' class='section-header'><a href="#functions">Functions</a></h2>
|
|||
|
|
<table>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.abs.html"
|
|||
|
|
title='fn num::abs'>abs</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Computes the absolute value.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.abs_sub.html"
|
|||
|
|
title='fn num::abs_sub'>abs_sub</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>The positive difference of two numbers.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.checked_pow.html"
|
|||
|
|
title='fn num::checked_pow'>checked_pow</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Raises a value to the power of exp, returning <code>None</code> if an overflow occurred.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.clamp.html"
|
|||
|
|
title='fn num::clamp'>clamp</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>A value bounded by a minimum and a maximum</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.one.html"
|
|||
|
|
title='fn num::one'>one</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Returns the multiplicative identity, <code>1</code>.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.range.html"
|
|||
|
|
title='fn num::range'>range</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Returns an iterator over the given range [start, stop) (that is, starting
|
|||
|
|
at start (inclusive), and ending at stop (exclusive)).</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.range_inclusive.html"
|
|||
|
|
title='fn num::range_inclusive'>range_inclusive</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Return an iterator over the range [start, stop]</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.range_step.html"
|
|||
|
|
title='fn num::range_step'>range_step</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Return an iterator over the range [start, stop) by <code>step</code>. It handles overflow by stopping.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.range_step_inclusive.html"
|
|||
|
|
title='fn num::range_step_inclusive'>range_step_inclusive</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Return an iterator over the range [start, stop] by <code>step</code>. It handles overflow by stopping.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.signum.html"
|
|||
|
|
title='fn num::signum'>signum</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Returns the sign of the number.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="fn" href="fn.zero.html"
|
|||
|
|
title='fn num::zero'>zero</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Returns the additive identity, <code>0</code>.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr></table><h2 id='types' class='section-header'><a href="#types">Type Definitions</a></h2>
|
|||
|
|
<table>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="type" href="type.BigRational.html"
|
|||
|
|
title='type num::BigRational'>BigRational</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Alias for arbitrary precision rationals.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr class=' module-item'>
|
|||
|
|
<td><a class="type" href="type.Rational.html"
|
|||
|
|
title='type num::Rational'>Rational</a></td>
|
|||
|
|
<td class='docblock-short'>
|
|||
|
|
<p>Alias for a <code>Ratio</code> of machine-sized integers.</p>
|
|||
|
|
|
|||
|
|
</td>
|
|||
|
|
</tr></table></section>
|
|||
|
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<section id='search' class="content hidden"></section>
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<section class="footer"></section>
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<aside id="help" class="hidden">
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|
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<h1 class="hidden">Help</h1>
|
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|
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<div class="shortcuts">
|
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|
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<h2>Keyboard Shortcuts</h2>
|
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<dl>
|
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|
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<dt><kbd>?</kbd></dt>
|
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|
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<dd>Show this help dialog</dd>
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<dd>Focus the search field</dd>
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</dl>
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</div>
|
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|
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|
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<div class="infos">
|
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|
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<h2>Search Tricks</h2>
|
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|
|
|
|||
|
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<p>
|
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|
|
Prefix searches with a type followed by a colon (e.g.
|
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|
|
<code>fn:</code>) to restrict the search to a given type.
|
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|
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</p>
|
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|
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|
|||
|
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<p>
|
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|
|
Accepted types are: <code>fn</code>, <code>mod</code>,
|
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|
|
<code>struct</code>, <code>enum</code>,
|
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|
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<code>trait</code>, <code>type</code>, <code>macro</code>,
|
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|
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and <code>const</code>.
|
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|
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</p>
|
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|
|
|
|||
|
|
<p>
|
|||
|
|
Search functions by type signature (e.g.
|
|||
|
|
<code>vec -> usize</code> or <code>* -> vec</code>)
|
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|
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</p>
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</div>
|
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</div>
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