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<section id='main' class="content trait">
<h1 class='fqn'><span class='in-band'>Trait <a href='index.html'>num_integer</a>::<wbr><a class='trait' href=''>Integer</a></span><span class='out-of-band'><span id='render-detail'>
<a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">
[<span class='inner'>−</span>]
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</span><a id='src-6' class='srclink' href='../src/num_integer/lib.rs.html#17-158' title='goto source code'>[src]</a></span></h1>
<pre class='rust trait'>pub trait Integer: <a class='trait' href='https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html' title='core::marker::Sized'>Sized</a> + <a class='trait' href='../num_traits/trait.Num.html' title='num_traits::Num'>Num</a> + <a class='trait' href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html' title='core::cmp::PartialOrd'>PartialOrd</a> + <a class='trait' href='https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html' title='core::cmp::Ord'>Ord</a> + <a class='trait' href='https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html' title='core::cmp::Eq'>Eq</a> {
fn <a href='#tymethod.div_floor' class='fnname'>div_floor</a>(&self, other: &Self) -> Self;
fn <a href='#tymethod.mod_floor' class='fnname'>mod_floor</a>(&self, other: &Self) -> Self;
fn <a href='#tymethod.gcd' class='fnname'>gcd</a>(&self, other: &Self) -> Self;
fn <a href='#tymethod.lcm' class='fnname'>lcm</a>(&self, other: &Self) -> Self;
fn <a href='#tymethod.divides' class='fnname'>divides</a>(&self, other: &Self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a>;
fn <a href='#tymethod.is_multiple_of' class='fnname'>is_multiple_of</a>(&self, other: &Self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a>;
fn <a href='#tymethod.is_even' class='fnname'>is_even</a>(&self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a>;
fn <a href='#tymethod.is_odd' class='fnname'>is_odd</a>(&self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a>;
fn <a href='#tymethod.div_rem' class='fnname'>div_rem</a>(&self, other: &Self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>(</a>Self, Self<a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>)</a>;
fn <a href='#method.div_mod_floor' class='fnname'>div_mod_floor</a>(&self, other: &Self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>(</a>Self, Self<a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>)</a> { ... }
}</pre>
<h2 id='required-methods'>Required Methods</h2>
<div class='methods'>
<h3 id='tymethod.div_floor' class='method stab '><span id='div_floor.v' class='invisible'><code>fn <a href='#tymethod.div_floor' class='fnname'>div_floor</a>(&self, other: &Self) -> Self</code></span></h3><div class='docblock'><p>Floored integer division.</p>
<h1 id='examples' class='section-header'><a href='#examples'>Examples</a></h1>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert</span><span class='macro'>!</span>(( <span class='number'>8</span>).<span class='ident'>div_floor</span>(<span class='kw-2'>&</span> <span class='number'>3</span>) <span class='op'>==</span> <span class='number'>2</span>);
<span class='macro'>assert</span><span class='macro'>!</span>(( <span class='number'>8</span>).<span class='ident'>div_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>3</span>) <span class='op'>==</span> <span class='op'>-</span><span class='number'>3</span>);
<span class='macro'>assert</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>8</span>).<span class='ident'>div_floor</span>(<span class='kw-2'>&</span> <span class='number'>3</span>) <span class='op'>==</span> <span class='op'>-</span><span class='number'>3</span>);
<span class='macro'>assert</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>8</span>).<span class='ident'>div_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>3</span>) <span class='op'>==</span> <span class='number'>2</span>);
<span class='macro'>assert</span><span class='macro'>!</span>(( <span class='number'>1</span>).<span class='ident'>div_floor</span>(<span class='kw-2'>&</span> <span class='number'>2</span>) <span class='op'>==</span> <span class='number'>0</span>);
<span class='macro'>assert</span><span class='macro'>!</span>(( <span class='number'>1</span>).<span class='ident'>div_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>2</span>) <span class='op'>==</span> <span class='op'>-</span><span class='number'>1</span>);
<span class='macro'>assert</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>1</span>).<span class='ident'>div_floor</span>(<span class='kw-2'>&</span> <span class='number'>2</span>) <span class='op'>==</span> <span class='op'>-</span><span class='number'>1</span>);
<span class='macro'>assert</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>1</span>).<span class='ident'>div_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>2</span>) <span class='op'>==</span> <span class='number'>0</span>);<a class='test-arrow' target='_blank' href=''>Run</a></pre>
</div><h3 id='tymethod.mod_floor' class='method stab '><span id='mod_floor.v' class='invisible'><code>fn <a href='#tymethod.mod_floor' class='fnname'>mod_floor</a>(&self, other: &Self) -> Self</code></span></h3><div class='docblock'><p>Floored integer modulo, satisfying:</p>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert</span><span class='macro'>!</span>(<span class='ident'>n</span>.<span class='ident'>div_floor</span>(<span class='kw-2'>&</span><span class='ident'>d</span>) <span class='op'>*</span> <span class='ident'>d</span> <span class='op'>+</span> <span class='ident'>n</span>.<span class='ident'>mod_floor</span>(<span class='kw-2'>&</span><span class='ident'>d</span>) <span class='op'>==</span> <span class='ident'>n</span>)<a class='test-arrow' target='_blank' href=''>Run</a></pre>
<h1 id='examples-1' class='section-header'><a href='#examples-1'>Examples</a></h1>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert</span><span class='macro'>!</span>(( <span class='number'>8</span>).<span class='ident'>mod_floor</span>(<span class='kw-2'>&</span> <span class='number'>3</span>) <span class='op'>==</span> <span class='number'>2</span>);
<span class='macro'>assert</span><span class='macro'>!</span>(( <span class='number'>8</span>).<span class='ident'>mod_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>3</span>) <span class='op'>==</span> <span class='op'>-</span><span class='number'>1</span>);
<span class='macro'>assert</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>8</span>).<span class='ident'>mod_floor</span>(<span class='kw-2'>&</span> <span class='number'>3</span>) <span class='op'>==</span> <span class='number'>1</span>);
<span class='macro'>assert</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>8</span>).<span class='ident'>mod_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>3</span>) <span class='op'>==</span> <span class='op'>-</span><span class='number'>2</span>);
<span class='macro'>assert</span><span class='macro'>!</span>(( <span class='number'>1</span>).<span class='ident'>mod_floor</span>(<span class='kw-2'>&</span> <span class='number'>2</span>) <span class='op'>==</span> <span class='number'>1</span>);
<span class='macro'>assert</span><span class='macro'>!</span>(( <span class='number'>1</span>).<span class='ident'>mod_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>2</span>) <span class='op'>==</span> <span class='op'>-</span><span class='number'>1</span>);
<span class='macro'>assert</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>1</span>).<span class='ident'>mod_floor</span>(<span class='kw-2'>&</span> <span class='number'>2</span>) <span class='op'>==</span> <span class='number'>1</span>);
<span class='macro'>assert</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>1</span>).<span class='ident'>mod_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>2</span>) <span class='op'>==</span> <span class='op'>-</span><span class='number'>1</span>);<a class='test-arrow' target='_blank' href=''>Run</a></pre>
</div><h3 id='tymethod.gcd' class='method stab '><span id='gcd.v' class='invisible'><code>fn <a href='#tymethod.gcd' class='fnname'>gcd</a>(&self, other: &Self) -> Self</code></span></h3><div class='docblock'><p>Greatest Common Divisor (GCD).</p>
<h1 id='examples-2' class='section-header'><a href='#examples-2'>Examples</a></h1>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>6</span>.<span class='ident'>gcd</span>(<span class='kw-2'>&</span><span class='number'>8</span>), <span class='number'>2</span>);
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>7</span>.<span class='ident'>gcd</span>(<span class='kw-2'>&</span><span class='number'>3</span>), <span class='number'>1</span>);<a class='test-arrow' target='_blank' href=''>Run</a></pre>
</div><h3 id='tymethod.lcm' class='method stab '><span id='lcm.v' class='invisible'><code>fn <a href='#tymethod.lcm' class='fnname'>lcm</a>(&self, other: &Self) -> Self</code></span></h3><div class='docblock'><p>Lowest Common Multiple (LCM).</p>
<h1 id='examples-3' class='section-header'><a href='#examples-3'>Examples</a></h1>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>7</span>.<span class='ident'>lcm</span>(<span class='kw-2'>&</span><span class='number'>3</span>), <span class='number'>21</span>);
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>2</span>.<span class='ident'>lcm</span>(<span class='kw-2'>&</span><span class='number'>4</span>), <span class='number'>4</span>);<a class='test-arrow' target='_blank' href=''>Run</a></pre>
</div><h3 id='tymethod.divides' class='method stab '><span id='divides.v' class='invisible'><code>fn <a href='#tymethod.divides' class='fnname'>divides</a>(&self, other: &Self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a></code></span></h3><div class='docblock'><p>Deprecated, use <code>is_multiple_of</code> instead.</p>
</div><h3 id='tymethod.is_multiple_of' class='method stab '><span id='is_multiple_of.v' class='invisible'><code>fn <a href='#tymethod.is_multiple_of' class='fnname'>is_multiple_of</a>(&self, other: &Self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a></code></span></h3><div class='docblock'><p>Returns <code>true</code> if <code>other</code> is a multiple of <code>self</code>.</p>
<h1 id='examples-4' class='section-header'><a href='#examples-4'>Examples</a></h1>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>9</span>.<span class='ident'>is_multiple_of</span>(<span class='kw-2'>&</span><span class='number'>3</span>), <span class='bool-val'>true</span>);
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>3</span>.<span class='ident'>is_multiple_of</span>(<span class='kw-2'>&</span><span class='number'>9</span>), <span class='bool-val'>false</span>);<a class='test-arrow' target='_blank' href=''>Run</a></pre>
</div><h3 id='tymethod.is_even' class='method stab '><span id='is_even.v' class='invisible'><code>fn <a href='#tymethod.is_even' class='fnname'>is_even</a>(&self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a></code></span></h3><div class='docblock'><p>Returns <code>true</code> if the number is even.</p>
<h1 id='examples-5' class='section-header'><a href='#examples-5'>Examples</a></h1>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>3</span>.<span class='ident'>is_even</span>(), <span class='bool-val'>false</span>);
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>4</span>.<span class='ident'>is_even</span>(), <span class='bool-val'>true</span>);<a class='test-arrow' target='_blank' href=''>Run</a></pre>
</div><h3 id='tymethod.is_odd' class='method stab '><span id='is_odd.v' class='invisible'><code>fn <a href='#tymethod.is_odd' class='fnname'>is_odd</a>(&self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a></code></span></h3><div class='docblock'><p>Returns <code>true</code> if the number is odd.</p>
<h1 id='examples-6' class='section-header'><a href='#examples-6'>Examples</a></h1>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>3</span>.<span class='ident'>is_odd</span>(), <span class='bool-val'>true</span>);
<span class='macro'>assert_eq</span><span class='macro'>!</span>(<span class='number'>4</span>.<span class='ident'>is_odd</span>(), <span class='bool-val'>false</span>);<a class='test-arrow' target='_blank' href=''>Run</a></pre>
</div><h3 id='tymethod.div_rem' class='method stab '><span id='div_rem.v' class='invisible'><code>fn <a href='#tymethod.div_rem' class='fnname'>div_rem</a>(&self, other: &Self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>(</a>Self, Self<a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>)</a></code></span></h3><div class='docblock'><p>Simultaneous truncated integer division and modulus.
Returns <code>(quotient, remainder)</code>.</p>
<h1 id='examples-7' class='section-header'><a href='#examples-7'>Examples</a></h1>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert_eq</span><span class='macro'>!</span>(( <span class='number'>8</span>).<span class='ident'>div_rem</span>( <span class='kw-2'>&</span><span class='number'>3</span>), ( <span class='number'>2</span>, <span class='number'>2</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>(( <span class='number'>8</span>).<span class='ident'>div_rem</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>3</span>), (<span class='op'>-</span><span class='number'>2</span>, <span class='number'>2</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>8</span>).<span class='ident'>div_rem</span>( <span class='kw-2'>&</span><span class='number'>3</span>), (<span class='op'>-</span><span class='number'>2</span>, <span class='op'>-</span><span class='number'>2</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>8</span>).<span class='ident'>div_rem</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>3</span>), ( <span class='number'>2</span>, <span class='op'>-</span><span class='number'>2</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>(( <span class='number'>1</span>).<span class='ident'>div_rem</span>( <span class='kw-2'>&</span><span class='number'>2</span>), ( <span class='number'>0</span>, <span class='number'>1</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>(( <span class='number'>1</span>).<span class='ident'>div_rem</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>2</span>), ( <span class='number'>0</span>, <span class='number'>1</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>1</span>).<span class='ident'>div_rem</span>( <span class='kw-2'>&</span><span class='number'>2</span>), ( <span class='number'>0</span>, <span class='op'>-</span><span class='number'>1</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>1</span>).<span class='ident'>div_rem</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>2</span>), ( <span class='number'>0</span>, <span class='op'>-</span><span class='number'>1</span>));<a class='test-arrow' target='_blank' href=''>Run</a></pre>
</div></div>
<h2 id='provided-methods'>Provided Methods</h2>
<div class='methods'>
<h3 id='method.div_mod_floor' class='method stab '><span id='div_mod_floor.v' class='invisible'><code>fn <a href='#method.div_mod_floor' class='fnname'>div_mod_floor</a>(&self, other: &Self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>(</a>Self, Self<a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>)</a></code></span></h3><div class='docblock'><p>Simultaneous floored integer division and modulus.
Returns <code>(quotient, remainder)</code>.</p>
<h1 id='examples-8' class='section-header'><a href='#examples-8'>Examples</a></h1>
<pre class='rust rust-example-rendered'>
<span class='macro'>assert_eq</span><span class='macro'>!</span>(( <span class='number'>8</span>).<span class='ident'>div_mod_floor</span>( <span class='kw-2'>&</span><span class='number'>3</span>), ( <span class='number'>2</span>, <span class='number'>2</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>(( <span class='number'>8</span>).<span class='ident'>div_mod_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>3</span>), (<span class='op'>-</span><span class='number'>3</span>, <span class='op'>-</span><span class='number'>1</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>8</span>).<span class='ident'>div_mod_floor</span>( <span class='kw-2'>&</span><span class='number'>3</span>), (<span class='op'>-</span><span class='number'>3</span>, <span class='number'>1</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>8</span>).<span class='ident'>div_mod_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>3</span>), ( <span class='number'>2</span>, <span class='op'>-</span><span class='number'>2</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>(( <span class='number'>1</span>).<span class='ident'>div_mod_floor</span>( <span class='kw-2'>&</span><span class='number'>2</span>), ( <span class='number'>0</span>, <span class='number'>1</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>(( <span class='number'>1</span>).<span class='ident'>div_mod_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>2</span>), (<span class='op'>-</span><span class='number'>1</span>, <span class='op'>-</span><span class='number'>1</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>1</span>).<span class='ident'>div_mod_floor</span>( <span class='kw-2'>&</span><span class='number'>2</span>), (<span class='op'>-</span><span class='number'>1</span>, <span class='number'>1</span>));
<span class='macro'>assert_eq</span><span class='macro'>!</span>((<span class='op'>-</span><span class='number'>1</span>).<span class='ident'>div_mod_floor</span>(<span class='kw-2'>&</span><span class='op'>-</span><span class='number'>2</span>), ( <span class='number'>0</span>, <span class='op'>-</span><span class='number'>1</span>));<a class='test-arrow' target='_blank' href=''>Run</a></pre>
</div></div>
<h2 id='implementors'>Implementors</h2>
<ul class='item-list' id='implementors-list'>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.i8.html'>i8</a></code></li>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.i16.html'>i16</a></code></li>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.i32.html'>i32</a></code></li>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.i64.html'>i64</a></code></li>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.isize.html'>isize</a></code></li>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.u8.html'>u8</a></code></li>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.u16.html'>u16</a></code></li>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.u32.html'>u32</a></code></li>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.u64.html'>u64</a></code></li>
<li><code>impl Integer for <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.usize.html'>usize</a></code></li>
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