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<h1 class='fqn'><span class='in-band'>Struct <a href='../index.html'>num</a>::<wbr><a href='index.html'>rational</a>::<wbr><a class='struct' href=''>Ratio</a></span><span class='out-of-band'><span id='render-detail'>
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</span><a id='src-16' class='srclink' href='../../num_rational/struct.Ratio.html?gotosrc=16' title='goto source code'>[src]</a></span></h1>
<pre class='rust struct'>pub struct Ratio<T> { /* fields omitted */ }</pre><div class='docblock'><p>Represents the ratio between 2 numbers.</p>
</div><h2 id='methods'>Methods</h2><h3 class='impl'><span class='in-band'><code>impl<T> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.from_integer' class='method'><span id='from_integer.v' class='invisible'><code>fn <a href='#method.from_integer' class='fnname'>from_integer</a>(t: T) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Creates a ratio representing the integer <code>t</code>.</p>
</div><h4 id='method.new_raw' class='method'><span id='new_raw.v' class='invisible'><code>fn <a href='#method.new_raw' class='fnname'>new_raw</a>(numer: T, denom: T) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Creates a ratio without checking for <code>denom == 0</code> or reducing.</p>
</div><h4 id='method.new' class='method'><span id='new.v' class='invisible'><code>fn <a href='#method.new' class='fnname'>new</a>(numer: T, denom: T) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Create a new Ratio. Fails if <code>denom == 0</code>.</p>
</div><h4 id='method.to_integer' class='method'><span id='to_integer.v' class='invisible'><code>fn <a href='#method.to_integer' class='fnname'>to_integer</a>(&self) -> T</code></span></h4>
<div class='docblock'><p>Converts to an integer.</p>
</div><h4 id='method.numer' class='method'><span id='numer.v' class='invisible'><code>fn <a href='#method.numer' class='fnname'>numer</a>(&'a self) -> &'a T</code></span></h4>
<div class='docblock'><p>Gets an immutable reference to the numerator.</p>
</div><h4 id='method.denom' class='method'><span id='denom.v' class='invisible'><code>fn <a href='#method.denom' class='fnname'>denom</a>(&'a self) -> &'a T</code></span></h4>
<div class='docblock'><p>Gets an immutable reference to the denominator.</p>
</div><h4 id='method.is_integer' class='method'><span id='is_integer.v' class='invisible'><code>fn <a href='#method.is_integer' class='fnname'>is_integer</a>(&self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a></code></span></h4>
<div class='docblock'><p>Returns true if the rational number is an integer (denominator is 1).</p>
</div><h4 id='method.reduced' class='method'><span id='reduced.v' class='invisible'><code>fn <a href='#method.reduced' class='fnname'>reduced</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Returns a <code>reduce</code>d copy of self.</p>
</div><h4 id='method.recip' class='method'><span id='recip.v' class='invisible'><code>fn <a href='#method.recip' class='fnname'>recip</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Returns the reciprocal.</p>
</div><h4 id='method.floor' class='method'><span id='floor.v' class='invisible'><code>fn <a href='#method.floor' class='fnname'>floor</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Rounds towards minus infinity.</p>
</div><h4 id='method.ceil' class='method'><span id='ceil.v' class='invisible'><code>fn <a href='#method.ceil' class='fnname'>ceil</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Rounds towards plus infinity.</p>
</div><h4 id='method.round' class='method'><span id='round.v' class='invisible'><code>fn <a href='#method.round' class='fnname'>round</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Rounds to the nearest integer. Rounds half-way cases away from zero.</p>
</div><h4 id='method.trunc' class='method'><span id='trunc.v' class='invisible'><code>fn <a href='#method.trunc' class='fnname'>trunc</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Rounds towards zero.</p>
</div><h4 id='method.fract' class='method'><span id='fract.v' class='invisible'><code>fn <a href='#method.fract' class='fnname'>fract</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Returns the fractional part of a number.</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a> + <a class='trait' href='../../num/traits/trait.PrimInt.html' title='num::traits::PrimInt'>PrimInt</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.pow' class='method'><span id='pow.v' class='invisible'><code>fn <a href='#method.pow' class='fnname'>pow</a>(&self, expon: <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.i32.html'>i32</a>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Raises the ratio to the power of an exponent</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><<a class='struct' href='../../num/bigint/struct.BigInt.html' title='num::bigint::BigInt'>BigInt</a>></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.from_float' class='method'><span id='from_float.v' class='invisible'><code>fn <a href='#method.from_float' class='fnname'>from_float</a><T>(f: T) -> <a class='enum' href='https://doc.rust-lang.org/nightly/core/option/enum.Option.html' title='core::option::Option'>Option</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><<a class='struct' href='../../num/bigint/struct.BigInt.html' title='num::bigint::BigInt'>BigInt</a>>> <span class='where'>where T: <a class='trait' href='../../num/traits/trait.Float.html' title='num::traits::Float'>Float</a></span></code></span></h4>
<div class='docblock'><p>Converts a float into a rational number.</p>
</div></div><h2 id='implementations'>Trait Implementations</h2><h3 class='impl'><span class='in-band'><code>impl<'a, 'b, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html' title='core::ops::Mul'>Mul</a><&'b <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output' class='type'><span id='Output.t' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>The resulting type after applying the <code>*</code> operator</p>
</div><h4 id='method.mul' class='method'><span id='mul.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html#tymethod.mul' class='fnname'>mul</a>(self, rhs: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>The method for the <code>*</code> operator</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html' title='core::ops::Mul'>Mul</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-1' class='type'><span id='Output.t-1' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>The resulting type after applying the <code>*</code> operator</p>
</div><h4 id='method.mul-1' class='method'><span id='mul.v-1' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html#tymethod.mul' class='fnname'>mul</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>The method for the <code>*</code> operator</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html' title='core::ops::Mul'>Mul</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-2' class='type'><span id='Output.t-2' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>The resulting type after applying the <code>*</code> operator</p>
</div><h4 id='method.mul-2' class='method'><span id='mul.v-2' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html#tymethod.mul' class='fnname'>mul</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>The method for the <code>*</code> operator</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html' title='core::ops::Mul'>Mul</a><&'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-3' class='type'><span id='Output.t-3' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>The resulting type after applying the <code>*</code> operator</p>
</div><h4 id='method.mul-3' class='method'><span id='mul.v-3' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Mul.html#tymethod.mul' class='fnname'>mul</a>(self, other: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>The method for the <code>*</code> operator</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<'a, 'b, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html' title='core::ops::Sub'>Sub</a><&'b <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-4' class='type'><span id='Output.t-4' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.sub' class='method'><span id='sub.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html#tymethod.sub' class='fnname'>sub</a>(self, rhs: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html' title='core::ops::Sub'>Sub</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-5' class='type'><span id='Output.t-5' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.sub-1' class='method'><span id='sub.v-1' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html#tymethod.sub' class='fnname'>sub</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html' title='core::ops::Sub'>Sub</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-6' class='type'><span id='Output.t-6' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.sub-2' class='method'><span id='sub.v-2' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html#tymethod.sub' class='fnname'>sub</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html' title='core::ops::Sub'>Sub</a><&'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-7' class='type'><span id='Output.t-7' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.sub-3' class='method'><span id='sub.v-3' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Sub.html#tymethod.sub' class='fnname'>sub</a>(self, other: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='../../num/traits/trait.Signed.html' title='num::traits::Signed'>Signed</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a> + <a class='trait' href='../../num/traits/trait.Signed.html' title='num::traits::Signed'>Signed</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.abs' class='method'><span id='abs.v' class='invisible'><code>fn <a href='../../num/traits/trait.Signed.html#tymethod.abs' class='fnname'>abs</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Computes the absolute value. <a href="../../num/traits/trait.Signed.html#tymethod.abs">Read more</a></p>
</div><h4 id='method.abs_sub' class='method'><span id='abs_sub.v' class='invisible'><code>fn <a href='../../num/traits/trait.Signed.html#tymethod.abs_sub' class='fnname'>abs_sub</a>(&self, other: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>The positive difference of two numbers. <a href="../../num/traits/trait.Signed.html#tymethod.abs_sub">Read more</a></p>
</div><h4 id='method.signum' class='method'><span id='signum.v' class='invisible'><code>fn <a href='../../num/traits/trait.Signed.html#tymethod.signum' class='fnname'>signum</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Returns the sign of the number. <a href="../../num/traits/trait.Signed.html#tymethod.signum">Read more</a></p>
</div><h4 id='method.is_positive' class='method'><span id='is_positive.v' class='invisible'><code>fn <a href='../../num/traits/trait.Signed.html#tymethod.is_positive' class='fnname'>is_positive</a>(&self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a></code></span></h4>
<div class='docblock'><p>Returns true if the number is positive and false if the number is zero or negative.</p>
</div><h4 id='method.is_negative' class='method'><span id='is_negative.v' class='invisible'><code>fn <a href='../../num/traits/trait.Signed.html#tymethod.is_negative' class='fnname'>is_negative</a>(&self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a></code></span></h4>
<div class='docblock'><p>Returns true if the number is negative and false if the number is zero or positive.</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html' title='core::cmp::Ord'>Ord</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.cmp' class='method'><span id='cmp.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#tymethod.cmp' class='fnname'>cmp</a>(&self, other: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='enum' href='https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html' title='core::cmp::Ordering'>Ordering</a></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='../../num/traits/trait.One.html' title='num::traits::One'>One</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.one' class='method'><span id='one.v' class='invisible'><code>fn <a href='../../num/traits/trait.One.html#tymethod.one' class='fnname'>one</a>() -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Returns the multiplicative identity element of <code>Self</code>, <code>1</code>. <a href="../../num/traits/trait.One.html#tymethod.one">Read more</a></p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<'a, 'b, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html' title='core::ops::Div'>Div</a><&'b <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-8' class='type'><span id='Output.t-8' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.div' class='method'><span id='div.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html#tymethod.div' class='fnname'>div</a>(self, rhs: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html' title='core::ops::Div'>Div</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-9' class='type'><span id='Output.t-9' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.div-1' class='method'><span id='div.v-1' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html#tymethod.div' class='fnname'>div</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html' title='core::ops::Div'>Div</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-10' class='type'><span id='Output.t-10' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.div-2' class='method'><span id='div.v-2' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html#tymethod.div' class='fnname'>div</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html' title='core::ops::Div'>Div</a><&'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-11' class='type'><span id='Output.t-11' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.div-3' class='method'><span id='div.v-3' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Div.html#tymethod.div' class='fnname'>div</a>(self, other: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='../../num/traits/trait.Zero.html' title='num::traits::Zero'>Zero</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.zero' class='method'><span id='zero.v' class='invisible'><code>fn <a href='../../num/traits/trait.Zero.html#tymethod.zero' class='fnname'>zero</a>() -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Returns the additive identity element of <code>Self</code>, <code>0</code>. <a href="../../num/traits/trait.Zero.html#tymethod.zero">Read more</a></p>
</div><h4 id='method.is_zero' class='method'><span id='is_zero.v' class='invisible'><code>fn <a href='../../num/traits/trait.Zero.html#tymethod.is_zero' class='fnname'>is_zero</a>(&self) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a></code></span></h4>
<div class='docblock'><p>Returns <code>true</code> if <code>self</code> is equal to the additive identity.</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html' title='core::fmt::Display'>Display</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html' title='core::fmt::Display'>Display</a> + <a class='trait' href='https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html' title='core::cmp::Eq'>Eq</a> + <a class='trait' href='../../num/traits/trait.One.html' title='num::traits::One'>One</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.fmt' class='method'><span id='fmt.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html#tymethod.fmt' class='fnname'>fmt</a>(&self, f: &mut <a class='struct' href='https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html' title='core::fmt::Formatter'>Formatter</a>) -> <a class='enum' href='https://doc.rust-lang.org/nightly/core/result/enum.Result.html' title='core::result::Result'>Result</a><<a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>()</a>, <a class='struct' href='https://doc.rust-lang.org/nightly/core/fmt/struct.Error.html' title='core::fmt::Error'>Error</a>></code></span></h4>
<div class='docblock'><p>Renders as <code>numer/denom</code>. If denom=1, renders as numer.</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='../../rustc_serialize/serialize/trait.Decodable.html' title='rustc_serialize::serialize::Decodable'>Decodable</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='../../rustc_serialize/serialize/trait.Decodable.html' title='rustc_serialize::serialize::Decodable'>Decodable</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.decode' class='method'><span id='decode.v' class='invisible'><code>fn <a href='../../rustc_serialize/serialize/trait.Decodable.html#tymethod.decode' class='fnname'>decode</a><__DT>(__arg_0: &mut __DT) -> <a class='enum' href='https://doc.rust-lang.org/nightly/core/result/enum.Result.html' title='core::result::Result'>Result</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>, __DT::<a class='trait' href='../../rustc_serialize/serialize/trait.Decoder.html' title='rustc_serialize::serialize::Decoder'>Error</a>> <span class='where'>where __DT: <a class='trait' href='../../rustc_serialize/serialize/trait.Decoder.html' title='rustc_serialize::serialize::Decoder'>Decoder</a></span></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html' title='core::hash::Hash'>Hash</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html' title='core::hash::Hash'>Hash</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.hash' class='method'><span id='hash.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash' class='fnname'>hash</a><__HT>(&self, __arg_0: &mut __HT) <span class='where'>where __HT: <a class='trait' href='https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html' title='core::hash::Hasher'>Hasher</a></span></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Neg.html' title='core::ops::Neg'>Neg</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a> + <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Neg.html' title='core::ops::Neg'>Neg</a><Output=T></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-12' class='type'><span id='Output.t-12' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Neg.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.neg' class='method'><span id='neg.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Neg.html#tymethod.neg' class='fnname'>neg</a>(self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Neg.html' title='core::ops::Neg'>Neg</a> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a> + <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Neg.html' title='core::ops::Neg'>Neg</a><Output=T></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-13' class='type'><span id='Output.t-13' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Neg.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.neg-1' class='method'><span id='neg.v-1' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Neg.html#tymethod.neg' class='fnname'>neg</a>(self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, 'b, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html' title='core::ops::Add'>Add</a><&'b <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-14' class='type'><span id='Output.t-14' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.add' class='method'><span id='add.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html#tymethod.add' class='fnname'>add</a>(self, rhs: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html' title='core::ops::Add'>Add</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-15' class='type'><span id='Output.t-15' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.add-1' class='method'><span id='add.v-1' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html#tymethod.add' class='fnname'>add</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html' title='core::ops::Add'>Add</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-16' class='type'><span id='Output.t-16' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.add-2' class='method'><span id='add.v-2' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html#tymethod.add' class='fnname'>add</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html' title='core::ops::Add'>Add</a><&'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-17' class='type'><span id='Output.t-17' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.add-3' class='method'><span id='add.v-3' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Add.html#tymethod.add' class='fnname'>add</a>(self, other: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html' title='core::cmp::PartialEq'>PartialEq</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.eq' class='method'><span id='eq.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq' class='fnname'>eq</a>(&self, other: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.bool.html'>bool</a></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='../../rustc_serialize/serialize/trait.Encodable.html' title='rustc_serialize::serialize::Encodable'>Encodable</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='../../rustc_serialize/serialize/trait.Encodable.html' title='rustc_serialize::serialize::Encodable'>Encodable</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.encode' class='method'><span id='encode.v' class='invisible'><code>fn <a href='../../rustc_serialize/serialize/trait.Encodable.html#tymethod.encode' class='fnname'>encode</a><__ST>(&self, __arg_0: &mut __ST) -> <a class='enum' href='https://doc.rust-lang.org/nightly/core/result/enum.Result.html' title='core::result::Result'>Result</a><<a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>()</a>, __ST::<a class='trait' href='../../rustc_serialize/serialize/trait.Encoder.html' title='rustc_serialize::serialize::Encoder'>Error</a>> <span class='where'>where __ST: <a class='trait' href='../../rustc_serialize/serialize/trait.Encoder.html' title='rustc_serialize::serialize::Encoder'>Encoder</a></span></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html' title='core::cmp::PartialOrd'>PartialOrd</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.partial_cmp' class='method'><span id='partial_cmp.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#tymethod.partial_cmp' class='fnname'>partial_cmp</a>(&self, other: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='enum' href='https://doc.rust-lang.org/nightly/core/option/enum.Option.html' title='core::option::Option'>Option</a><<a class='enum' href='https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html' title='core::cmp::Ordering'>Ordering</a>></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, 'b, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html' title='core::ops::Rem'>Rem</a><&'b <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-18' class='type'><span id='Output.t-18' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.rem' class='method'><span id='rem.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html#tymethod.rem' class='fnname'>rem</a>(self, rhs: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html' title='core::ops::Rem'>Rem</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-19' class='type'><span id='Output.t-19' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.rem-1' class='method'><span id='rem.v-1' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html#tymethod.rem' class='fnname'>rem</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html' title='core::ops::Rem'>Rem</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for &'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-20' class='type'><span id='Output.t-20' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.rem-2' class='method'><span id='rem.v-2' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html#tymethod.rem' class='fnname'>rem</a>(self, other: <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<'a, T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html' title='core::ops::Rem'>Rem</a><&'a <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Output-21' class='type'><span id='Output.t-21' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html#associatedtype.Output' class='type'>Output</a> = <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<h4 id='method.rem-3' class='method'><span id='rem.v-3' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/ops/trait.Rem.html#tymethod.rem' class='fnname'>rem</a>(self, other: &<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/str/trait.FromStr.html' title='core::str::FromStr'>FromStr</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='https://doc.rust-lang.org/nightly/core/str/trait.FromStr.html' title='core::str::FromStr'>FromStr</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.Err' class='type'><span id='Err.t' class='invisible'><code>type <a href='https://doc.rust-lang.org/nightly/core/str/trait.FromStr.html#associatedtype.Err' class='type'>Err</a> = <a class='struct' href='../../num/rational/struct.ParseRatioError.html' title='num::rational::ParseRatioError'>ParseRatioError</a></code></span></h4>
<h4 id='method.from_str' class='method'><span id='from_str.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/str/trait.FromStr.html#tymethod.from_str' class='fnname'>from_str</a>(s: &<a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.str.html'>str</a>) -> <a class='enum' href='https://doc.rust-lang.org/nightly/core/result/enum.Result.html' title='core::result::Result'>Result</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>, <a class='struct' href='../../num/rational/struct.ParseRatioError.html' title='num::rational::ParseRatioError'>ParseRatioError</a>></code></span></h4>
<div class='docblock'><p>Parses <code>numer/denom</code> or just <code>numer</code>.</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html' title='core::fmt::Debug'>Debug</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html' title='core::fmt::Debug'>Debug</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.fmt-1' class='method'><span id='fmt.v-1' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt' class='fnname'>fmt</a>(&self, __arg_0: &mut <a class='struct' href='https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html' title='core::fmt::Formatter'>Formatter</a>) -> <a class='enum' href='https://doc.rust-lang.org/nightly/core/result/enum.Result.html' title='core::result::Result'>Result</a><<a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.tuple.html'>()</a>, <a class='struct' href='https://doc.rust-lang.org/nightly/core/fmt/struct.Error.html' title='core::fmt::Error'>Error</a>></code></span></h4>
</div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='../../num/traits/trait.Num.html' title='num::traits::Num'>Num</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='associatedtype.FromStrRadixErr' class='type'><span id='FromStrRadixErr.t' class='invisible'><code>type <a href='../../num/traits/trait.Num.html#associatedtype.FromStrRadixErr' class='type'>FromStrRadixErr</a> = <a class='struct' href='../../num/rational/struct.ParseRatioError.html' title='num::rational::ParseRatioError'>ParseRatioError</a></code></span></h4>
<h4 id='method.from_str_radix' class='method'><span id='from_str_radix.v' class='invisible'><code>fn <a href='../../num/traits/trait.Num.html#tymethod.from_str_radix' class='fnname'>from_str_radix</a>(s: &<a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.str.html'>str</a>, radix: <a class='primitive' href='https://doc.rust-lang.org/nightly/std/primitive.u32.html'>u32</a>) -> <a class='enum' href='https://doc.rust-lang.org/nightly/core/result/enum.Result.html' title='core::result::Result'>Result</a><<a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T>, <a class='struct' href='../../num/rational/struct.ParseRatioError.html' title='num::rational::ParseRatioError'>ParseRatioError</a>></code></span></h4>
<div class='docblock'><p>Parses <code>numer/denom</code> where the numbers are in base <code>radix</code>.</p>
</div></div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html' title='core::marker::Copy'>Copy</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html' title='core::marker::Copy'>Copy</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'></div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html' title='core::cmp::Eq'>Eq</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> + <a class='trait' href='../../num/integer/trait.Integer.html' title='num::integer::Integer'>Integer</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'></div><h3 class='impl'><span class='in-band'><code>impl<T> <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a> for <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T> <span class='where'>where T: <a class='trait' href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html' title='core::clone::Clone'>Clone</a></span></code></span><span class='out-of-band'></span></h3>
<div class='impl-items'><h4 id='method.clone' class='method'><span id='clone.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone' class='fnname'>clone</a>(&self) -> <a class='struct' href='../../num/rational/struct.Ratio.html' title='num::rational::Ratio'>Ratio</a><T></code></span></h4>
<div class='docblock'><p>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></p>
</div><h4 id='method.clone_from' class='method'><span id='clone_from.v' class='invisible'><code>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from' class='fnname'>clone_from</a>(&mut self, source: &Self)</code><div class='since' title='Stable since Rust version 1.0.0'>1.0.0</div></span></h4>
<div class='docblock'><p>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></p>
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