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trait.Float.html

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  36.         <p class='location'>Trait Float</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#required-methods">Required Methods</a><div class="sidebar-links"><a href="#tymethod.nan">nan</a><a href="#tymethod.infinity">infinity</a><a href="#tymethod.neg_infinity">neg_infinity</a><a href="#tymethod.neg_zero">neg_zero</a><a href="#tymethod.min_value">min_value</a><a href="#tymethod.min_positive_value">min_positive_value</a><a href="#tymethod.max_value">max_value</a><a href="#tymethod.is_nan">is_nan</a><a href="#tymethod.is_infinite">is_infinite</a><a href="#tymethod.is_finite">is_finite</a><a href="#tymethod.is_normal">is_normal</a><a href="#tymethod.classify">classify</a><a href="#tymethod.floor">floor</a><a href="#tymethod.ceil">ceil</a><a href="#tymethod.round">round</a><a href="#tymethod.trunc">trunc</a><a href="#tymethod.fract">fract</a><a href="#tymethod.abs">abs</a><a href="#tymethod.signum">signum</a><a href="#tymethod.is_sign_positive">is_sign_positive</a><a href="#tymethod.is_sign_negative">is_sign_negative</a><a href="#tymethod.mul_add">mul_add</a><a href="#tymethod.recip">recip</a><a href="#tymethod.powi">powi</a><a href="#tymethod.powf">powf</a><a href="#tymethod.sqrt">sqrt</a><a href="#tymethod.exp">exp</a><a href="#tymethod.exp2">exp2</a><a href="#tymethod.ln">ln</a><a href="#tymethod.log">log</a><a href="#tymethod.log2">log2</a><a href="#tymethod.log10">log10</a><a href="#tymethod.max">max</a><a href="#tymethod.min">min</a><a href="#tymethod.abs_sub">abs_sub</a><a href="#tymethod.cbrt">cbrt</a><a href="#tymethod.hypot">hypot</a><a href="#tymethod.sin">sin</a><a href="#tymethod.cos">cos</a><a href="#tymethod.tan">tan</a><a href="#tymethod.asin">asin</a><a href="#tymethod.acos">acos</a><a href="#tymethod.atan">atan</a><a href="#tymethod.atan2">atan2</a><a href="#tymethod.sin_cos">sin_cos</a><a href="#tymethod.exp_m1">exp_m1</a><a href="#tymethod.ln_1p">ln_1p</a><a href="#tymethod.sinh">sinh</a><a href="#tymethod.cosh">cosh</a><a href="#tymethod.tanh">tanh</a><a href="#tymethod.asinh">asinh</a><a href="#tymethod.acosh">acosh</a><a href="#tymethod.atanh">atanh</a><a href="#tymethod.integer_decode">integer_decode</a></div><a class="sidebar-title" href="#provided-methods">Provided Methods</a><div class="sidebar-links"><a href="#method.epsilon">epsilon</a><a href="#method.to_degrees">to_degrees</a><a href="#method.to_radians">to_radians</a></div><a class="sidebar-title" href="#foreign-impls">Implementations on Foreign Types</a><div class="sidebar-links"><a href="#impl-Float">f64</a><a href="#impl-Float">f32</a></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='index.html'>num_traits</a></p><script>window.sidebarCurrent = {name: 'Float', ty: 'trait', relpath: ''};</script><script defer src="sidebar-items.js"></script></div>
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  58. <h1 class='fqn'><span class='in-band'>Trait <a href='index.html'>num_traits</a>::<wbr><a class="trait" href=''>Float</a></span><span class='out-of-band'><span id='render-detail'>
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  62.                </span><a class='srclink' href='../src/num_traits/float.rs.html#885-1794' title='goto source code'>[src]</a></span></h1>
    63. 

  63. <pre class='rust trait'>pub trait Float: <a class="trait" href="../num_traits/cast/trait.NumCast.html" title="trait num_traits::cast::NumCast">NumCast</a> + <a class="trait" href="../num_traits/trait.Num.html" title="trait num_traits::Num">Num</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html" title="trait core::ops::arith::Neg">Neg</a>&lt;Output = Self&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html" title="trait core::cmp::PartialOrd">PartialOrd</a>&lt;Self&gt; {
    64. 

  64.     fn <a href='#tymethod.nan' class='fnname'>nan</a>() -&gt; Self;
    65. 

  65. <div class='item-spacer'></div>    fn <a href='#tymethod.infinity' class='fnname'>infinity</a>() -&gt; Self;
    66. 

  66. <div class='item-spacer'></div>    fn <a href='#tymethod.neg_infinity' class='fnname'>neg_infinity</a>() -&gt; Self;
    67. 

  67. <div class='item-spacer'></div>    fn <a href='#tymethod.neg_zero' class='fnname'>neg_zero</a>() -&gt; Self;
    68. 

  68. <div class='item-spacer'></div>    fn <a href='#tymethod.min_value' class='fnname'>min_value</a>() -&gt; Self;
    69. 

  69. <div class='item-spacer'></div>    fn <a href='#tymethod.min_positive_value' class='fnname'>min_positive_value</a>() -&gt; Self;
    70. 

  70. <div class='item-spacer'></div>    fn <a href='#tymethod.max_value' class='fnname'>max_value</a>() -&gt; Self;
    71. 

  71. <div class='item-spacer'></div>    fn <a href='#tymethod.is_nan' class='fnname'>is_nan</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>;
    72. 

  72. <div class='item-spacer'></div>    fn <a href='#tymethod.is_infinite' class='fnname'>is_infinite</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>;
    73. 

  73. <div class='item-spacer'></div>    fn <a href='#tymethod.is_finite' class='fnname'>is_finite</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>;
    74. 

  74. <div class='item-spacer'></div>    fn <a href='#tymethod.is_normal' class='fnname'>is_normal</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>;
    75. 

  75. <div class='item-spacer'></div>    fn <a href='#tymethod.classify' class='fnname'>classify</a>(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/num/enum.FpCategory.html" title="enum core::num::FpCategory">FpCategory</a>;
    76. 

  76. <div class='item-spacer'></div>    fn <a href='#tymethod.floor' class='fnname'>floor</a>(self) -&gt; Self;
    77. 

  77. <div class='item-spacer'></div>    fn <a href='#tymethod.ceil' class='fnname'>ceil</a>(self) -&gt; Self;
    78. 

  78. <div class='item-spacer'></div>    fn <a href='#tymethod.round' class='fnname'>round</a>(self) -&gt; Self;
    79. 

  79. <div class='item-spacer'></div>    fn <a href='#tymethod.trunc' class='fnname'>trunc</a>(self) -&gt; Self;
    80. 

  80. <div class='item-spacer'></div>    fn <a href='#tymethod.fract' class='fnname'>fract</a>(self) -&gt; Self;
    81. 

  81. <div class='item-spacer'></div>    fn <a href='#tymethod.abs' class='fnname'>abs</a>(self) -&gt; Self;
    82. 

  82. <div class='item-spacer'></div>    fn <a href='#tymethod.signum' class='fnname'>signum</a>(self) -&gt; Self;
    83. 

  83. <div class='item-spacer'></div>    fn <a href='#tymethod.is_sign_positive' class='fnname'>is_sign_positive</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>;
    84. 

  84. <div class='item-spacer'></div>    fn <a href='#tymethod.is_sign_negative' class='fnname'>is_sign_negative</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>;
    85. 

  85. <div class='item-spacer'></div>    fn <a href='#tymethod.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -&gt; Self;
    86. 

  86. <div class='item-spacer'></div>    fn <a href='#tymethod.recip' class='fnname'>recip</a>(self) -&gt; Self;
    87. 

  87. <div class='item-spacer'></div>    fn <a href='#tymethod.powi' class='fnname'>powi</a>(self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>) -&gt; Self;
    88. 

  88. <div class='item-spacer'></div>    fn <a href='#tymethod.powf' class='fnname'>powf</a>(self, n: Self) -&gt; Self;
    89. 

  89. <div class='item-spacer'></div>    fn <a href='#tymethod.sqrt' class='fnname'>sqrt</a>(self) -&gt; Self;
    90. 

  90. <div class='item-spacer'></div>    fn <a href='#tymethod.exp' class='fnname'>exp</a>(self) -&gt; Self;
    91. 

  91. <div class='item-spacer'></div>    fn <a href='#tymethod.exp2' class='fnname'>exp2</a>(self) -&gt; Self;
    92. 

  92. <div class='item-spacer'></div>    fn <a href='#tymethod.ln' class='fnname'>ln</a>(self) -&gt; Self;
    93. 

  93. <div class='item-spacer'></div>    fn <a href='#tymethod.log' class='fnname'>log</a>(self, base: Self) -&gt; Self;
    94. 

  94. <div class='item-spacer'></div>    fn <a href='#tymethod.log2' class='fnname'>log2</a>(self) -&gt; Self;
    95. 

  95. <div class='item-spacer'></div>    fn <a href='#tymethod.log10' class='fnname'>log10</a>(self) -&gt; Self;
    96. 

  96. <div class='item-spacer'></div>    fn <a href='#tymethod.max' class='fnname'>max</a>(self, other: Self) -&gt; Self;
    97. 

  97. <div class='item-spacer'></div>    fn <a href='#tymethod.min' class='fnname'>min</a>(self, other: Self) -&gt; Self;
    98. 

  98. <div class='item-spacer'></div>    fn <a href='#tymethod.abs_sub' class='fnname'>abs_sub</a>(self, other: Self) -&gt; Self;
    99. 

  99. <div class='item-spacer'></div>    fn <a href='#tymethod.cbrt' class='fnname'>cbrt</a>(self) -&gt; Self;
    100. 

  100. <div class='item-spacer'></div>    fn <a href='#tymethod.hypot' class='fnname'>hypot</a>(self, other: Self) -&gt; Self;
    101. 

  101. <div class='item-spacer'></div>    fn <a href='#tymethod.sin' class='fnname'>sin</a>(self) -&gt; Self;
    102. 

  102. <div class='item-spacer'></div>    fn <a href='#tymethod.cos' class='fnname'>cos</a>(self) -&gt; Self;
    103. 

  103. <div class='item-spacer'></div>    fn <a href='#tymethod.tan' class='fnname'>tan</a>(self) -&gt; Self;
    104. 

  104. <div class='item-spacer'></div>    fn <a href='#tymethod.asin' class='fnname'>asin</a>(self) -&gt; Self;
    105. 

  105. <div class='item-spacer'></div>    fn <a href='#tymethod.acos' class='fnname'>acos</a>(self) -&gt; Self;
    106. 

  106. <div class='item-spacer'></div>    fn <a href='#tymethod.atan' class='fnname'>atan</a>(self) -&gt; Self;
    107. 

  107. <div class='item-spacer'></div>    fn <a href='#tymethod.atan2' class='fnname'>atan2</a>(self, other: Self) -&gt; Self;
    108. 

  108. <div class='item-spacer'></div>    fn <a href='#tymethod.sin_cos' class='fnname'>sin_cos</a>(self) -&gt; <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>;
    109. 

  109. <div class='item-spacer'></div>    fn <a href='#tymethod.exp_m1' class='fnname'>exp_m1</a>(self) -&gt; Self;
    110. 

  110. <div class='item-spacer'></div>    fn <a href='#tymethod.ln_1p' class='fnname'>ln_1p</a>(self) -&gt; Self;
    111. 

  111. <div class='item-spacer'></div>    fn <a href='#tymethod.sinh' class='fnname'>sinh</a>(self) -&gt; Self;
    112. 

  112. <div class='item-spacer'></div>    fn <a href='#tymethod.cosh' class='fnname'>cosh</a>(self) -&gt; Self;
    113. 

  113. <div class='item-spacer'></div>    fn <a href='#tymethod.tanh' class='fnname'>tanh</a>(self) -&gt; Self;
    114. 

  114. <div class='item-spacer'></div>    fn <a href='#tymethod.asinh' class='fnname'>asinh</a>(self) -&gt; Self;
    115. 

  115. <div class='item-spacer'></div>    fn <a href='#tymethod.acosh' class='fnname'>acosh</a>(self) -&gt; Self;
    116. 

  116. <div class='item-spacer'></div>    fn <a href='#tymethod.atanh' class='fnname'>atanh</a>(self) -&gt; Self;
    117. 

  117. <div class='item-spacer'></div>    fn <a href='#tymethod.integer_decode' class='fnname'>integer_decode</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>;
    118. 

  118. 

  119.     fn <a href='#method.epsilon' class='fnname'>epsilon</a>() -&gt; Self { ... }
    120. 

  120. <div class='item-spacer'></div>    fn <a href='#method.to_degrees' class='fnname'>to_degrees</a>(self) -&gt; Self { ... }
    121. 

  121. <div class='item-spacer'></div>    fn <a href='#method.to_radians' class='fnname'>to_radians</a>(self) -&gt; Self { ... }
    122. 

  122. }</pre><div class='docblock'><p>Generic trait for floating point numbers</p>
    123. 

  123. <p>This trait is only available with the <code>std</code> feature.</p>
    124. 

  124. </div>
    125. 

  125.             <h2 id='required-methods' class='small-section-header'>
    126. 

  126.               Required Methods<a href='#required-methods' class='anchor'></a>
    127. 

  127.             </h2>
    128. 

  128.             <div class='methods'>
    129. 

  129.         <h3 id='tymethod.nan' class='method'><span id='nan.v' class='invisible'><code>fn <a href='#tymethod.nan' class='fnname'>nan</a>() -&gt; Self</code></span></h3><div class='docblock'><p>Returns the <code>NaN</code> value.</p>
    130. 

  130. 

  131. <pre class="rust rust-example-rendered">
    132. 

  132. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    133. 

  133. 

  134. <span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">nan</span>();
    135. 

  135. 

  136. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">is_nan</span>());</pre>
    137. 

  137. </div><h3 id='tymethod.infinity' class='method'><span id='infinity.v' class='invisible'><code>fn <a href='#tymethod.infinity' class='fnname'>infinity</a>() -&gt; Self</code></span></h3><div class='docblock'><p>Returns the infinite value.</p>
    138. 

  138. 

  139. <pre class="rust rust-example-rendered">
    140. 

  140. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    141. 

  141. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f32</span>;
    142. 

  142. 

  143. <span class="kw">let</span> <span class="ident">infinity</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">infinity</span>();
    144. 

  144. 

  145. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">infinity</span>.<span class="ident">is_infinite</span>());
    146. 

  146. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">infinity</span>.<span class="ident">is_finite</span>());
    147. 

  147. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">infinity</span> <span class="op">&gt;</span> <span class="ident">f32</span>::<span class="ident">MAX</span>);</pre>
    148. 

  148. </div><h3 id='tymethod.neg_infinity' class='method'><span id='neg_infinity.v' class='invisible'><code>fn <a href='#tymethod.neg_infinity' class='fnname'>neg_infinity</a>() -&gt; Self</code></span></h3><div class='docblock'><p>Returns the negative infinite value.</p>
    149. 

  149. 

  150. <pre class="rust rust-example-rendered">
    151. 

  151. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    152. 

  152. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f32</span>;
    153. 

  153. 

  154. <span class="kw">let</span> <span class="ident">neg_infinity</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">neg_infinity</span>();
    155. 

  155. 

  156. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_infinity</span>.<span class="ident">is_infinite</span>());
    157. 

  157. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_infinity</span>.<span class="ident">is_finite</span>());
    158. 

  158. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_infinity</span> <span class="op">&lt;</span> <span class="ident">f32</span>::<span class="ident">MIN</span>);</pre>
    159. 

  159. </div><h3 id='tymethod.neg_zero' class='method'><span id='neg_zero.v' class='invisible'><code>fn <a href='#tymethod.neg_zero' class='fnname'>neg_zero</a>() -&gt; Self</code></span></h3><div class='docblock'><p>Returns <code>-0.0</code>.</p>
    160. 

  160. 

  161. <pre class="rust rust-example-rendered">
    162. 

  162. <span class="kw">use</span> <span class="ident">num_traits</span>::{<span class="ident">Zero</span>, <span class="ident">Float</span>};
    163. 

  163. 

  164. <span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">infinity</span>();
    165. 

  165. <span class="kw">let</span> <span class="ident">zero</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Zero</span>::<span class="ident">zero</span>();
    166. 

  166. <span class="kw">let</span> <span class="ident">neg_zero</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">neg_zero</span>();
    167. 

  167. 

  168. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">zero</span>, <span class="ident">neg_zero</span>);
    169. 

  169. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">7.0f32</span><span class="op">/</span><span class="ident">inf</span>, <span class="ident">zero</span>);
    170. 

  170. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">zero</span> <span class="op">*</span> <span class="number">10.0</span>, <span class="ident">zero</span>);</pre>
    171. 

  171. </div><h3 id='tymethod.min_value' class='method'><span id='min_value.v' class='invisible'><code>fn <a href='#tymethod.min_value' class='fnname'>min_value</a>() -&gt; Self</code></span></h3><div class='docblock'><p>Returns the smallest finite value that this type can represent.</p>
    172. 

  172. 

  173. <pre class="rust rust-example-rendered">
    174. 

  174. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    175. 

  175. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    176. 

  176. 

  177. <span class="kw">let</span> <span class="ident">x</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">min_value</span>();
    178. 

  178. 

  179. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>, <span class="ident">f64</span>::<span class="ident">MIN</span>);</pre>
    180. 

  180. </div><h3 id='tymethod.min_positive_value' class='method'><span id='min_positive_value.v' class='invisible'><code>fn <a href='#tymethod.min_positive_value' class='fnname'>min_positive_value</a>() -&gt; Self</code></span></h3><div class='docblock'><p>Returns the smallest positive, normalized value that this type can represent.</p>
    181. 

  181. 

  182. <pre class="rust rust-example-rendered">
    183. 

  183. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    184. 

  184. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    185. 

  185. 

  186. <span class="kw">let</span> <span class="ident">x</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">min_positive_value</span>();
    187. 

  187. 

  188. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>, <span class="ident">f64</span>::<span class="ident">MIN_POSITIVE</span>);</pre>
    189. 

  189. </div><h3 id='tymethod.max_value' class='method'><span id='max_value.v' class='invisible'><code>fn <a href='#tymethod.max_value' class='fnname'>max_value</a>() -&gt; Self</code></span></h3><div class='docblock'><p>Returns the largest finite value that this type can represent.</p>
    190. 

  190. 

  191. <pre class="rust rust-example-rendered">
    192. 

  192. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    193. 

  193. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    194. 

  194. 

  195. <span class="kw">let</span> <span class="ident">x</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">max_value</span>();
    196. 

  196. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>, <span class="ident">f64</span>::<span class="ident">MAX</span>);</pre>
    197. 

  197. </div><h3 id='tymethod.is_nan' class='method'><span id='is_nan.v' class='invisible'><code>fn <a href='#tymethod.is_nan' class='fnname'>is_nan</a>(self) -&gt; <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 this value is <code>NaN</code> and false otherwise.</p>
    198. 

  198. 

  199. <pre class="rust rust-example-rendered">
    200. 

  200. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    201. 

  201. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    202. 

  202. 

  203. <span class="kw">let</span> <span class="ident">nan</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">NAN</span>;
    204. 

  204. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">7.0</span>;
    205. 

  205. 

  206. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">is_nan</span>());
    207. 

  207. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">f</span>.<span class="ident">is_nan</span>());</pre>
    208. 

  208. </div><h3 id='tymethod.is_infinite' class='method'><span id='is_infinite.v' class='invisible'><code>fn <a href='#tymethod.is_infinite' class='fnname'>is_infinite</a>(self) -&gt; <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 this value is positive infinity or negative infinity and
    209. 

  209. false otherwise.</p>
    210. 

  210. 

  211. <pre class="rust rust-example-rendered">
    212. 

  212. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    213. 

  213. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f32</span>;
    214. 

  214. 

  215. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">7.0f32</span>;
    216. 

  216. <span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">infinity</span>();
    217. 

  217. <span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">neg_infinity</span>();
    218. 

  218. <span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">f32</span>::<span class="ident">NAN</span>;
    219. 

  219. 

  220. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">f</span>.<span class="ident">is_infinite</span>());
    221. 

  221. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_infinite</span>());
    222. 

  222. 

  223. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">is_infinite</span>());
    224. 

  224. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">is_infinite</span>());</pre>
    225. 

  225. </div><h3 id='tymethod.is_finite' class='method'><span id='is_finite.v' class='invisible'><code>fn <a href='#tymethod.is_finite' class='fnname'>is_finite</a>(self) -&gt; <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 this number is neither infinite nor <code>NaN</code>.</p>
    226. 

  226. 

  227. <pre class="rust rust-example-rendered">
    228. 

  228. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    229. 

  229. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f32</span>;
    230. 

  230. 

  231. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">7.0f32</span>;
    232. 

  232. <span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">infinity</span>();
    233. 

  233. <span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">neg_infinity</span>();
    234. 

  234. <span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">f32</span>::<span class="ident">NAN</span>;
    235. 

  235. 

  236. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">f</span>.<span class="ident">is_finite</span>());
    237. 

  237. 

  238. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_finite</span>());
    239. 

  239. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">inf</span>.<span class="ident">is_finite</span>());
    240. 

  240. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_inf</span>.<span class="ident">is_finite</span>());</pre>
    241. 

  241. </div><h3 id='tymethod.is_normal' class='method'><span id='is_normal.v' class='invisible'><code>fn <a href='#tymethod.is_normal' class='fnname'>is_normal</a>(self) -&gt; <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 neither zero, infinite,
    242. 

  242. <a href="http://en.wikipedia.org/wiki/Denormal_number">subnormal</a>, or <code>NaN</code>.</p>
    243. 

  243. 

  244. <pre class="rust rust-example-rendered">
    245. 

  245. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    246. 

  246. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f32</span>;
    247. 

  247. 

  248. <span class="kw">let</span> <span class="ident">min</span> <span class="op">=</span> <span class="ident">f32</span>::<span class="ident">MIN_POSITIVE</span>; <span class="comment">// 1.17549435e-38f32</span>
    249. 

  249. <span class="kw">let</span> <span class="ident">max</span> <span class="op">=</span> <span class="ident">f32</span>::<span class="ident">MAX</span>;
    250. 

  250. <span class="kw">let</span> <span class="ident">lower_than_min</span> <span class="op">=</span> <span class="number">1.0e-40_f32</span>;
    251. 

  251. <span class="kw">let</span> <span class="ident">zero</span> <span class="op">=</span> <span class="number">0.0f32</span>;
    252. 

  252. 

  253. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">min</span>.<span class="ident">is_normal</span>());
    254. 

  254. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">max</span>.<span class="ident">is_normal</span>());
    255. 

  255. 

  256. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">zero</span>.<span class="ident">is_normal</span>());
    257. 

  257. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">f32</span>::<span class="ident">NAN</span>.<span class="ident">is_normal</span>());
    258. 

  258. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">f32</span>::<span class="ident">INFINITY</span>.<span class="ident">is_normal</span>());
    259. 

  259. <span class="comment">// Values between `0` and `min` are Subnormal.</span>
    260. 

  260. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">lower_than_min</span>.<span class="ident">is_normal</span>());</pre>
    261. 

  261. </div><h3 id='tymethod.classify' class='method'><span id='classify.v' class='invisible'><code>fn <a href='#tymethod.classify' class='fnname'>classify</a>(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/num/enum.FpCategory.html" title="enum core::num::FpCategory">FpCategory</a></code></span></h3><div class='docblock'><p>Returns the floating point category of the number. If only one property
    262. 

  262. is going to be tested, it is generally faster to use the specific
    263. 

  263. predicate instead.</p>
    264. 

  264. 

  265. <pre class="rust rust-example-rendered">
    266. 

  266. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    267. 

  267. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">num</span>::<span class="ident">FpCategory</span>;
    268. 

  268. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f32</span>;
    269. 

  269. 

  270. <span class="kw">let</span> <span class="ident">num</span> <span class="op">=</span> <span class="number">12.4f32</span>;
    271. 

  271. <span class="kw">let</span> <span class="ident">inf</span> <span class="op">=</span> <span class="ident">f32</span>::<span class="ident">INFINITY</span>;
    272. 

  272. 

  273. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">num</span>.<span class="ident">classify</span>(), <span class="ident">FpCategory</span>::<span class="ident">Normal</span>);
    274. 

  274. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">classify</span>(), <span class="ident">FpCategory</span>::<span class="ident">Infinite</span>);</pre>
    275. 

  275. </div><h3 id='tymethod.floor' class='method'><span id='floor.v' class='invisible'><code>fn <a href='#tymethod.floor' class='fnname'>floor</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the largest integer less than or equal to a number.</p>
    276. 

  276. 

  277. <pre class="rust rust-example-rendered">
    278. 

  278. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    279. 

  279. 

  280. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">3.99</span>;
    281. 

  281. <span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> <span class="number">3.0</span>;
    282. 

  282. 

  283. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">f</span>.<span class="ident">floor</span>(), <span class="number">3.0</span>);
    284. 

  284. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">g</span>.<span class="ident">floor</span>(), <span class="number">3.0</span>);</pre>
    285. 

  285. </div><h3 id='tymethod.ceil' class='method'><span id='ceil.v' class='invisible'><code>fn <a href='#tymethod.ceil' class='fnname'>ceil</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the smallest integer greater than or equal to a number.</p>
    286. 

  286. 

  287. <pre class="rust rust-example-rendered">
    288. 

  288. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    289. 

  289. 

  290. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">3.01</span>;
    291. 

  291. <span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> <span class="number">4.0</span>;
    292. 

  292. 

  293. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">f</span>.<span class="ident">ceil</span>(), <span class="number">4.0</span>);
    294. 

  294. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">g</span>.<span class="ident">ceil</span>(), <span class="number">4.0</span>);</pre>
    295. 

  295. </div><h3 id='tymethod.round' class='method'><span id='round.v' class='invisible'><code>fn <a href='#tymethod.round' class='fnname'>round</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the nearest integer to a number. Round half-way cases away from
    296. 

  296. <code>0.0</code>.</p>
    297. 

  297. 

  298. <pre class="rust rust-example-rendered">
    299. 

  299. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    300. 

  300. 

  301. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">3.3</span>;
    302. 

  302. <span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.3</span>;
    303. 

  303. 

  304. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">f</span>.<span class="ident">round</span>(), <span class="number">3.0</span>);
    305. 

  305. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">g</span>.<span class="ident">round</span>(), <span class="op">-</span><span class="number">3.0</span>);</pre>
    306. 

  306. </div><h3 id='tymethod.trunc' class='method'><span id='trunc.v' class='invisible'><code>fn <a href='#tymethod.trunc' class='fnname'>trunc</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Return the integer part of a number.</p>
    307. 

  307. 

  308. <pre class="rust rust-example-rendered">
    309. 

  309. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    310. 

  310. 

  311. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">3.3</span>;
    312. 

  312. <span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.7</span>;
    313. 

  313. 

  314. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">f</span>.<span class="ident">trunc</span>(), <span class="number">3.0</span>);
    315. 

  315. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">g</span>.<span class="ident">trunc</span>(), <span class="op">-</span><span class="number">3.0</span>);</pre>
    316. 

  316. </div><h3 id='tymethod.fract' class='method'><span id='fract.v' class='invisible'><code>fn <a href='#tymethod.fract' class='fnname'>fract</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the fractional part of a number.</p>
    317. 

  317. 

  318. <pre class="rust rust-example-rendered">
    319. 

  319. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    320. 

  320. 

  321. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">3.5</span>;
    322. 

  322. <span class="kw">let</span> <span class="ident">y</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.5</span>;
    323. 

  323. <span class="kw">let</span> <span class="ident">abs_difference_x</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">fract</span>() <span class="op">-</span> <span class="number">0.5</span>).<span class="ident">abs</span>();
    324. 

  324. <span class="kw">let</span> <span class="ident">abs_difference_y</span> <span class="op">=</span> (<span class="ident">y</span>.<span class="ident">fract</span>() <span class="op">-</span> (<span class="op">-</span><span class="number">0.5</span>)).<span class="ident">abs</span>();
    325. 

  325. 

  326. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_x</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);
    327. 

  327. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_y</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    328. 

  328. </div><h3 id='tymethod.abs' class='method'><span id='abs.v' class='invisible'><code>fn <a href='#tymethod.abs' class='fnname'>abs</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Computes the absolute value of <code>self</code>. Returns <code>Float::nan()</code> if the
    329. 

  329. number is <code>Float::nan()</code>.</p>
    330. 

  330. 

  331. <pre class="rust rust-example-rendered">
    332. 

  332. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    333. 

  333. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    334. 

  334. 

  335. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">3.5</span>;
    336. 

  336. <span class="kw">let</span> <span class="ident">y</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.5</span>;
    337. 

  337. 

  338. <span class="kw">let</span> <span class="ident">abs_difference_x</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">abs</span>() <span class="op">-</span> <span class="ident">x</span>).<span class="ident">abs</span>();
    339. 

  339. <span class="kw">let</span> <span class="ident">abs_difference_y</span> <span class="op">=</span> (<span class="ident">y</span>.<span class="ident">abs</span>() <span class="op">-</span> (<span class="op">-</span><span class="ident">y</span>)).<span class="ident">abs</span>();
    340. 

  340. 

  341. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_x</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);
    342. 

  342. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_y</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);
    343. 

  343. 

  344. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">f64</span>::<span class="ident">NAN</span>.<span class="ident">abs</span>().<span class="ident">is_nan</span>());</pre>
    345. 

  345. </div><h3 id='tymethod.signum' class='method'><span id='signum.v' class='invisible'><code>fn <a href='#tymethod.signum' class='fnname'>signum</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns a number that represents the sign of <code>self</code>.</p>
    346. 

  346. <ul>
    347. 

  347. <li><code>1.0</code> if the number is positive, <code>+0.0</code> or <code>Float::infinity()</code></li>
    348. 

  348. <li><code>-1.0</code> if the number is negative, <code>-0.0</code> or <code>Float::neg_infinity()</code></li>
    349. 

  349. <li><code>Float::nan()</code> if the number is <code>Float::nan()</code></li>
    350. 

  350. </ul>
    351. 

  351. 

  352. <pre class="rust rust-example-rendered">
    353. 

  353. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    354. 

  354. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    355. 

  355. 

  356. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">3.5</span>;
    357. 

  357. 

  358. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">f</span>.<span class="ident">signum</span>(), <span class="number">1.0</span>);
    359. 

  359. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">f64</span>::<span class="ident">NEG_INFINITY</span>.<span class="ident">signum</span>(), <span class="op">-</span><span class="number">1.0</span>);
    360. 

  360. 

  361. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">f64</span>::<span class="ident">NAN</span>.<span class="ident">signum</span>().<span class="ident">is_nan</span>());</pre>
    362. 

  362. </div><h3 id='tymethod.is_sign_positive' class='method'><span id='is_sign_positive.v' class='invisible'><code>fn <a href='#tymethod.is_sign_positive' class='fnname'>is_sign_positive</a>(self) -&gt; <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>self</code> is positive, including <code>+0.0</code>,
    363. 

  363. <code>Float::infinity()</code>, and since Rust 1.20 also <code>Float::nan()</code>.</p>
    364. 

  364. 

  365. <pre class="rust rust-example-rendered">
    366. 

  366. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    367. 

  367. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    368. 

  368. 

  369. <span class="kw">let</span> <span class="ident">neg_nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="ident">f64</span>::<span class="ident">NAN</span>;
    370. 

  370. 

  371. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">7.0</span>;
    372. 

  372. <span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> <span class="op">-</span><span class="number">7.0</span>;
    373. 

  373. 

  374. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">f</span>.<span class="ident">is_sign_positive</span>());
    375. 

  375. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">g</span>.<span class="ident">is_sign_positive</span>());
    376. 

  376. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_nan</span>.<span class="ident">is_sign_positive</span>());</pre>
    377. 

  377. </div><h3 id='tymethod.is_sign_negative' class='method'><span id='is_sign_negative.v' class='invisible'><code>fn <a href='#tymethod.is_sign_negative' class='fnname'>is_sign_negative</a>(self) -&gt; <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>self</code> is negative, including <code>-0.0</code>,
    378. 

  378. <code>Float::neg_infinity()</code>, and since Rust 1.20 also <code>-Float::nan()</code>.</p>
    379. 

  379. 

  380. <pre class="rust rust-example-rendered">
    381. 

  381. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    382. 

  382. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    383. 

  383. 

  384. <span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">NAN</span>;
    385. 

  385. 

  386. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">7.0</span>;
    387. 

  387. <span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> <span class="op">-</span><span class="number">7.0</span>;
    388. 

  388. 

  389. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">f</span>.<span class="ident">is_sign_negative</span>());
    390. 

  390. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">g</span>.<span class="ident">is_sign_negative</span>());
    391. 

  391. <span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_sign_negative</span>());</pre>
    392. 

  392. </div><h3 id='tymethod.mul_add' class='method'><span id='mul_add.v' class='invisible'><code>fn <a href='#tymethod.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -&gt; Self</code></span></h3><div class='docblock'><p>Fused multiply-add. Computes <code>(self * a) + b</code> with only one rounding
    393. 

  393. error. This produces a more accurate result with better performance than
    394. 

  394. a separate multiplication operation followed by an add.</p>
    395. 

  395. 

  396. <pre class="rust rust-example-rendered">
    397. 

  397. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    398. 

  398. 

  399. <span class="kw">let</span> <span class="ident">m</span> <span class="op">=</span> <span class="number">10.0</span>;
    400. 

  400. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">4.0</span>;
    401. 

  401. <span class="kw">let</span> <span class="ident">b</span> <span class="op">=</span> <span class="number">60.0</span>;
    402. 

  402. 

  403. <span class="comment">// 100.0</span>
    404. 

  404. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">m</span>.<span class="ident">mul_add</span>(<span class="ident">x</span>, <span class="ident">b</span>) <span class="op">-</span> (<span class="ident">m</span><span class="kw-2">*</span><span class="ident">x</span> <span class="op">+</span> <span class="ident">b</span>)).<span class="ident">abs</span>();
    405. 

  405. 

  406. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    407. 

  407. </div><h3 id='tymethod.recip' class='method'><span id='recip.v' class='invisible'><code>fn <a href='#tymethod.recip' class='fnname'>recip</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Take the reciprocal (inverse) of a number, <code>1/x</code>.</p>
    408. 

  408. 

  409. <pre class="rust rust-example-rendered">
    410. 

  410. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    411. 

  411. 

  412. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">2.0</span>;
    413. 

  413. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">recip</span>() <span class="op">-</span> (<span class="number">1.0</span><span class="op">/</span><span class="ident">x</span>)).<span class="ident">abs</span>();
    414. 

  414. 

  415. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    416. 

  416. </div><h3 id='tymethod.powi' class='method'><span id='powi.v' class='invisible'><code>fn <a href='#tymethod.powi' class='fnname'>powi</a>(self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>) -&gt; Self</code></span></h3><div class='docblock'><p>Raise a number to an integer power.</p>
    417. 

  417. <p>Using this function is generally faster than using <code>powf</code></p>
    418. 

  418. 

  419. <pre class="rust rust-example-rendered">
    420. 

  420. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    421. 

  421. 

  422. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">2.0</span>;
    423. 

  423. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">powi</span>(<span class="number">2</span>) <span class="op">-</span> <span class="ident">x</span><span class="kw-2">*</span><span class="ident">x</span>).<span class="ident">abs</span>();
    424. 

  424. 

  425. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    426. 

  426. </div><h3 id='tymethod.powf' class='method'><span id='powf.v' class='invisible'><code>fn <a href='#tymethod.powf' class='fnname'>powf</a>(self, n: Self) -&gt; Self</code></span></h3><div class='docblock'><p>Raise a number to a floating point power.</p>
    427. 

  427. 

  428. <pre class="rust rust-example-rendered">
    429. 

  429. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    430. 

  430. 

  431. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">2.0</span>;
    432. 

  432. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">powf</span>(<span class="number">2.0</span>) <span class="op">-</span> <span class="ident">x</span><span class="kw-2">*</span><span class="ident">x</span>).<span class="ident">abs</span>();
    433. 

  433. 

  434. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    435. 

  435. </div><h3 id='tymethod.sqrt' class='method'><span id='sqrt.v' class='invisible'><code>fn <a href='#tymethod.sqrt' class='fnname'>sqrt</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Take the square root of a number.</p>
    436. 

  436. <p>Returns NaN if <code>self</code> is a negative number.</p>
    437. 

  437. 

  438. <pre class="rust rust-example-rendered">
    439. 

  439. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    440. 

  440. 

  441. <span class="kw">let</span> <span class="ident">positive</span> <span class="op">=</span> <span class="number">4.0</span>;
    442. 

  442. <span class="kw">let</span> <span class="ident">negative</span> <span class="op">=</span> <span class="op">-</span><span class="number">4.0</span>;
    443. 

  443. 

  444. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">positive</span>.<span class="ident">sqrt</span>() <span class="op">-</span> <span class="number">2.0</span>).<span class="ident">abs</span>();
    445. 

  445. 

  446. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);
    447. 

  447. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">negative</span>.<span class="ident">sqrt</span>().<span class="ident">is_nan</span>());</pre>
    448. 

  448. </div><h3 id='tymethod.exp' class='method'><span id='exp.v' class='invisible'><code>fn <a href='#tymethod.exp' class='fnname'>exp</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns <code>e^(self)</code>, (the exponential function).</p>
    449. 

  449. 

  450. <pre class="rust rust-example-rendered">
    451. 

  451. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    452. 

  452. 

  453. <span class="kw">let</span> <span class="ident">one</span> <span class="op">=</span> <span class="number">1.0</span>;
    454. 

  454. <span class="comment">// e^1</span>
    455. 

  455. <span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">one</span>.<span class="ident">exp</span>();
    456. 

  456. 

  457. <span class="comment">// ln(e) - 1 == 0</span>
    458. 

  458. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">e</span>.<span class="ident">ln</span>() <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    459. 

  459. 

  460. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    461. 

  461. </div><h3 id='tymethod.exp2' class='method'><span id='exp2.v' class='invisible'><code>fn <a href='#tymethod.exp2' class='fnname'>exp2</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns <code>2^(self)</code>.</p>
    462. 

  462. 

  463. <pre class="rust rust-example-rendered">
    464. 

  464. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    465. 

  465. 

  466. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">2.0</span>;
    467. 

  467. 

  468. <span class="comment">// 2^2 - 4 == 0</span>
    469. 

  469. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span>.<span class="ident">exp2</span>() <span class="op">-</span> <span class="number">4.0</span>).<span class="ident">abs</span>();
    470. 

  470. 

  471. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    472. 

  472. </div><h3 id='tymethod.ln' class='method'><span id='ln.v' class='invisible'><code>fn <a href='#tymethod.ln' class='fnname'>ln</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the natural logarithm of the number.</p>
    473. 

  473. 

  474. <pre class="rust rust-example-rendered">
    475. 

  475. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    476. 

  476. 

  477. <span class="kw">let</span> <span class="ident">one</span> <span class="op">=</span> <span class="number">1.0</span>;
    478. 

  478. <span class="comment">// e^1</span>
    479. 

  479. <span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">one</span>.<span class="ident">exp</span>();
    480. 

  480. 

  481. <span class="comment">// ln(e) - 1 == 0</span>
    482. 

  482. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">e</span>.<span class="ident">ln</span>() <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    483. 

  483. 

  484. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    485. 

  485. </div><h3 id='tymethod.log' class='method'><span id='log.v' class='invisible'><code>fn <a href='#tymethod.log' class='fnname'>log</a>(self, base: Self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the logarithm of the number with respect to an arbitrary base.</p>
    486. 

  486. 

  487. <pre class="rust rust-example-rendered">
    488. 

  488. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    489. 

  489. 

  490. <span class="kw">let</span> <span class="ident">ten</span> <span class="op">=</span> <span class="number">10.0</span>;
    491. 

  491. <span class="kw">let</span> <span class="ident">two</span> <span class="op">=</span> <span class="number">2.0</span>;
    492. 

  492. 

  493. <span class="comment">// log10(10) - 1 == 0</span>
    494. 

  494. <span class="kw">let</span> <span class="ident">abs_difference_10</span> <span class="op">=</span> (<span class="ident">ten</span>.<span class="ident">log</span>(<span class="number">10.0</span>) <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    495. 

  495. 

  496. <span class="comment">// log2(2) - 1 == 0</span>
    497. 

  497. <span class="kw">let</span> <span class="ident">abs_difference_2</span> <span class="op">=</span> (<span class="ident">two</span>.<span class="ident">log</span>(<span class="number">2.0</span>) <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    498. 

  498. 

  499. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_10</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);
    500. 

  500. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_2</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    501. 

  501. </div><h3 id='tymethod.log2' class='method'><span id='log2.v' class='invisible'><code>fn <a href='#tymethod.log2' class='fnname'>log2</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the base 2 logarithm of the number.</p>
    502. 

  502. 

  503. <pre class="rust rust-example-rendered">
    504. 

  504. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    505. 

  505. 

  506. <span class="kw">let</span> <span class="ident">two</span> <span class="op">=</span> <span class="number">2.0</span>;
    507. 

  507. 

  508. <span class="comment">// log2(2) - 1 == 0</span>
    509. 

  509. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">two</span>.<span class="ident">log2</span>() <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    510. 

  510. 

  511. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    512. 

  512. </div><h3 id='tymethod.log10' class='method'><span id='log10.v' class='invisible'><code>fn <a href='#tymethod.log10' class='fnname'>log10</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the base 10 logarithm of the number.</p>
    513. 

  513. 

  514. <pre class="rust rust-example-rendered">
    515. 

  515. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    516. 

  516. 

  517. <span class="kw">let</span> <span class="ident">ten</span> <span class="op">=</span> <span class="number">10.0</span>;
    518. 

  518. 

  519. <span class="comment">// log10(10) - 1 == 0</span>
    520. 

  520. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">ten</span>.<span class="ident">log10</span>() <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    521. 

  521. 

  522. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    523. 

  523. </div><h3 id='tymethod.max' class='method'><span id='max.v' class='invisible'><code>fn <a href='#tymethod.max' class='fnname'>max</a>(self, other: Self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the maximum of the two numbers.</p>
    524. 

  524. 

  525. <pre class="rust rust-example-rendered">
    526. 

  526. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    527. 

  527. 

  528. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">1.0</span>;
    529. 

  529. <span class="kw">let</span> <span class="ident">y</span> <span class="op">=</span> <span class="number">2.0</span>;
    530. 

  530. 

  531. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">max</span>(<span class="ident">y</span>), <span class="ident">y</span>);</pre>
    532. 

  532. </div><h3 id='tymethod.min' class='method'><span id='min.v' class='invisible'><code>fn <a href='#tymethod.min' class='fnname'>min</a>(self, other: Self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the minimum of the two numbers.</p>
    533. 

  533. 

  534. <pre class="rust rust-example-rendered">
    535. 

  535. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    536. 

  536. 

  537. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">1.0</span>;
    538. 

  538. <span class="kw">let</span> <span class="ident">y</span> <span class="op">=</span> <span class="number">2.0</span>;
    539. 

  539. 

  540. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">min</span>(<span class="ident">y</span>), <span class="ident">x</span>);</pre>
    541. 

  541. </div><h3 id='tymethod.abs_sub' class='method'><span id='abs_sub.v' class='invisible'><code>fn <a href='#tymethod.abs_sub' class='fnname'>abs_sub</a>(self, other: Self) -&gt; Self</code></span></h3><div class='docblock'><p>The positive difference of two numbers.</p>
    542. 

  542. <ul>
    543. 

  543. <li>If <code>self &lt;= other</code>: <code>0:0</code></li>
    544. 

  544. <li>Else: <code>self - other</code></li>
    545. 

  545. </ul>
    546. 

  546. 

  547. <pre class="rust rust-example-rendered">
    548. 

  548. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    549. 

  549. 

  550. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">3.0</span>;
    551. 

  551. <span class="kw">let</span> <span class="ident">y</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.0</span>;
    552. 

  552. 

  553. <span class="kw">let</span> <span class="ident">abs_difference_x</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">abs_sub</span>(<span class="number">1.0</span>) <span class="op">-</span> <span class="number">2.0</span>).<span class="ident">abs</span>();
    554. 

  554. <span class="kw">let</span> <span class="ident">abs_difference_y</span> <span class="op">=</span> (<span class="ident">y</span>.<span class="ident">abs_sub</span>(<span class="number">1.0</span>) <span class="op">-</span> <span class="number">0.0</span>).<span class="ident">abs</span>();
    555. 

  555. 

  556. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_x</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);
    557. 

  557. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_y</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    558. 

  558. </div><h3 id='tymethod.cbrt' class='method'><span id='cbrt.v' class='invisible'><code>fn <a href='#tymethod.cbrt' class='fnname'>cbrt</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Take the cubic root of a number.</p>
    559. 

  559. 

  560. <pre class="rust rust-example-rendered">
    561. 

  561. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    562. 

  562. 

  563. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">8.0</span>;
    564. 

  564. 

  565. <span class="comment">// x^(1/3) - 2 == 0</span>
    566. 

  566. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">cbrt</span>() <span class="op">-</span> <span class="number">2.0</span>).<span class="ident">abs</span>();
    567. 

  567. 

  568. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    569. 

  569. </div><h3 id='tymethod.hypot' class='method'><span id='hypot.v' class='invisible'><code>fn <a href='#tymethod.hypot' class='fnname'>hypot</a>(self, other: Self) -&gt; Self</code></span></h3><div class='docblock'><p>Calculate the length of the hypotenuse of a right-angle triangle given
    570. 

  570. legs of length <code>x</code> and <code>y</code>.</p>
    571. 

  571. 

  572. <pre class="rust rust-example-rendered">
    573. 

  573. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    574. 

  574. 

  575. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">2.0</span>;
    576. 

  576. <span class="kw">let</span> <span class="ident">y</span> <span class="op">=</span> <span class="number">3.0</span>;
    577. 

  577. 

  578. <span class="comment">// sqrt(x^2 + y^2)</span>
    579. 

  579. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">hypot</span>(<span class="ident">y</span>) <span class="op">-</span> (<span class="ident">x</span>.<span class="ident">powi</span>(<span class="number">2</span>) <span class="op">+</span> <span class="ident">y</span>.<span class="ident">powi</span>(<span class="number">2</span>)).<span class="ident">sqrt</span>()).<span class="ident">abs</span>();
    580. 

  580. 

  581. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    582. 

  582. </div><h3 id='tymethod.sin' class='method'><span id='sin.v' class='invisible'><code>fn <a href='#tymethod.sin' class='fnname'>sin</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Computes the sine of a number (in radians).</p>
    583. 

  583. 

  584. <pre class="rust rust-example-rendered">
    585. 

  585. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    586. 

  586. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    587. 

  587. 

  588. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span><span class="op">/</span><span class="number">2.0</span>;
    589. 

  589. 

  590. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">sin</span>() <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    591. 

  591. 

  592. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    593. 

  593. </div><h3 id='tymethod.cos' class='method'><span id='cos.v' class='invisible'><code>fn <a href='#tymethod.cos' class='fnname'>cos</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Computes the cosine of a number (in radians).</p>
    594. 

  594. 

  595. <pre class="rust rust-example-rendered">
    596. 

  596. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    597. 

  597. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    598. 

  598. 

  599. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">2.0</span><span class="kw-2">*</span><span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span>;
    600. 

  600. 

  601. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">cos</span>() <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    602. 

  602. 

  603. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    604. 

  604. </div><h3 id='tymethod.tan' class='method'><span id='tan.v' class='invisible'><code>fn <a href='#tymethod.tan' class='fnname'>tan</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Computes the tangent of a number (in radians).</p>
    605. 

  605. 

  606. <pre class="rust rust-example-rendered">
    607. 

  607. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    608. 

  608. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    609. 

  609. 

  610. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span><span class="op">/</span><span class="number">4.0</span>;
    611. 

  611. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">tan</span>() <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    612. 

  612. 

  613. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-14</span>);</pre>
    614. 

  614. </div><h3 id='tymethod.asin' class='method'><span id='asin.v' class='invisible'><code>fn <a href='#tymethod.asin' class='fnname'>asin</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Computes the arcsine of a number. Return value is in radians in
    615. 

  615. the range [-pi/2, pi/2] or NaN if the number is outside the range
    616. 

  616. [-1, 1].</p>
    617. 

  617. 

  618. <pre class="rust rust-example-rendered">
    619. 

  619. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    620. 

  620. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    621. 

  621. 

  622. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span> <span class="op">/</span> <span class="number">2.0</span>;
    623. 

  623. 

  624. <span class="comment">// asin(sin(pi/2))</span>
    625. 

  625. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span>.<span class="ident">sin</span>().<span class="ident">asin</span>() <span class="op">-</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span> <span class="op">/</span> <span class="number">2.0</span>).<span class="ident">abs</span>();
    626. 

  626. 

  627. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    628. 

  628. </div><h3 id='tymethod.acos' class='method'><span id='acos.v' class='invisible'><code>fn <a href='#tymethod.acos' class='fnname'>acos</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Computes the arccosine of a number. Return value is in radians in
    629. 

  629. the range [0, pi] or NaN if the number is outside the range
    630. 

  630. [-1, 1].</p>
    631. 

  631. 

  632. <pre class="rust rust-example-rendered">
    633. 

  633. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    634. 

  634. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    635. 

  635. 

  636. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span> <span class="op">/</span> <span class="number">4.0</span>;
    637. 

  637. 

  638. <span class="comment">// acos(cos(pi/4))</span>
    639. 

  639. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span>.<span class="ident">cos</span>().<span class="ident">acos</span>() <span class="op">-</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span> <span class="op">/</span> <span class="number">4.0</span>).<span class="ident">abs</span>();
    640. 

  640. 

  641. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    642. 

  642. </div><h3 id='tymethod.atan' class='method'><span id='atan.v' class='invisible'><code>fn <a href='#tymethod.atan' class='fnname'>atan</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Computes the arctangent of a number. Return value is in radians in the
    643. 

  643. range [-pi/2, pi/2];</p>
    644. 

  644. 

  645. <pre class="rust rust-example-rendered">
    646. 

  646. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    647. 

  647. 

  648. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="number">1.0</span>;
    649. 

  649. 

  650. <span class="comment">// atan(tan(1))</span>
    651. 

  651. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span>.<span class="ident">tan</span>().<span class="ident">atan</span>() <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    652. 

  652. 

  653. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    654. 

  654. </div><h3 id='tymethod.atan2' class='method'><span id='atan2.v' class='invisible'><code>fn <a href='#tymethod.atan2' class='fnname'>atan2</a>(self, other: Self) -&gt; Self</code></span></h3><div class='docblock'><p>Computes the four quadrant arctangent of <code>self</code> (<code>y</code>) and <code>other</code> (<code>x</code>).</p>
    655. 

  655. <ul>
    656. 

  656. <li><code>x = 0</code>, <code>y = 0</code>: <code>0</code></li>
    657. 

  657. <li><code>x &gt;= 0</code>: <code>arctan(y/x)</code> -&gt; <code>[-pi/2, pi/2]</code></li>
    658. 

  658. <li><code>y &gt;= 0</code>: <code>arctan(y/x) + pi</code> -&gt; <code>(pi/2, pi]</code></li>
    659. 

  659. <li><code>y &lt; 0</code>: <code>arctan(y/x) - pi</code> -&gt; <code>(-pi, -pi/2)</code></li>
    660. 

  660. </ul>
    661. 

  661. 

  662. <pre class="rust rust-example-rendered">
    663. 

  663. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    664. 

  664. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    665. 

  665. 

  666. <span class="kw">let</span> <span class="ident">pi</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span>;
    667. 

  667. <span class="comment">// All angles from horizontal right (+x)</span>
    668. 

  668. <span class="comment">// 45 deg counter-clockwise</span>
    669. 

  669. <span class="kw">let</span> <span class="ident">x1</span> <span class="op">=</span> <span class="number">3.0</span>;
    670. 

  670. <span class="kw">let</span> <span class="ident">y1</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.0</span>;
    671. 

  671. 

  672. <span class="comment">// 135 deg clockwise</span>
    673. 

  673. <span class="kw">let</span> <span class="ident">x2</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.0</span>;
    674. 

  674. <span class="kw">let</span> <span class="ident">y2</span> <span class="op">=</span> <span class="number">3.0</span>;
    675. 

  675. 

  676. <span class="kw">let</span> <span class="ident">abs_difference_1</span> <span class="op">=</span> (<span class="ident">y1</span>.<span class="ident">atan2</span>(<span class="ident">x1</span>) <span class="op">-</span> (<span class="op">-</span><span class="ident">pi</span><span class="op">/</span><span class="number">4.0</span>)).<span class="ident">abs</span>();
    677. 

  677. <span class="kw">let</span> <span class="ident">abs_difference_2</span> <span class="op">=</span> (<span class="ident">y2</span>.<span class="ident">atan2</span>(<span class="ident">x2</span>) <span class="op">-</span> <span class="number">3.0</span><span class="kw-2">*</span><span class="ident">pi</span><span class="op">/</span><span class="number">4.0</span>).<span class="ident">abs</span>();
    678. 

  678. 

  679. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_1</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);
    680. 

  680. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_2</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    681. 

  681. </div><h3 id='tymethod.sin_cos' class='method'><span id='sin_cos.v' class='invisible'><code>fn <a href='#tymethod.sin_cos' class='fnname'>sin_cos</a>(self) -&gt; <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>Simultaneously computes the sine and cosine of the number, <code>x</code>. Returns
    682. 

  682. <code>(sin(x), cos(x))</code>.</p>
    683. 

  683. 

  684. <pre class="rust rust-example-rendered">
    685. 

  685. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    686. 

  686. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    687. 

  687. 

  688. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span><span class="op">/</span><span class="number">4.0</span>;
    689. 

  689. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">sin_cos</span>();
    690. 

  690. 

  691. <span class="kw">let</span> <span class="ident">abs_difference_0</span> <span class="op">=</span> (<span class="ident">f</span>.<span class="number">0</span> <span class="op">-</span> <span class="ident">x</span>.<span class="ident">sin</span>()).<span class="ident">abs</span>();
    692. 

  692. <span class="kw">let</span> <span class="ident">abs_difference_1</span> <span class="op">=</span> (<span class="ident">f</span>.<span class="number">1</span> <span class="op">-</span> <span class="ident">x</span>.<span class="ident">cos</span>()).<span class="ident">abs</span>();
    693. 

  693. 

  694. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_0</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);
    695. 

  695. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference_0</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    696. 

  696. </div><h3 id='tymethod.exp_m1' class='method'><span id='exp_m1.v' class='invisible'><code>fn <a href='#tymethod.exp_m1' class='fnname'>exp_m1</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns <code>e^(self) - 1</code> in a way that is accurate even if the
    697. 

  697. number is close to zero.</p>
    698. 

  698. 

  699. <pre class="rust rust-example-rendered">
    700. 

  700. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    701. 

  701. 

  702. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">7.0</span>;
    703. 

  703. 

  704. <span class="comment">// e^(ln(7)) - 1</span>
    705. 

  705. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">ln</span>().<span class="ident">exp_m1</span>() <span class="op">-</span> <span class="number">6.0</span>).<span class="ident">abs</span>();
    706. 

  706. 

  707. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    708. 

  708. </div><h3 id='tymethod.ln_1p' class='method'><span id='ln_1p.v' class='invisible'><code>fn <a href='#tymethod.ln_1p' class='fnname'>ln_1p</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns <code>ln(1+n)</code> (natural logarithm) more accurately than if
    709. 

  709. the operations were performed separately.</p>
    710. 

  710. 

  711. <pre class="rust rust-example-rendered">
    712. 

  712. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    713. 

  713. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    714. 

  714. 

  715. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">E</span> <span class="op">-</span> <span class="number">1.0</span>;
    716. 

  716. 

  717. <span class="comment">// ln(1 + (e - 1)) == ln(e) == 1</span>
    718. 

  718. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">x</span>.<span class="ident">ln_1p</span>() <span class="op">-</span> <span class="number">1.0</span>).<span class="ident">abs</span>();
    719. 

  719. 

  720. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    721. 

  721. </div><h3 id='tymethod.sinh' class='method'><span id='sinh.v' class='invisible'><code>fn <a href='#tymethod.sinh' class='fnname'>sinh</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Hyperbolic sine function.</p>
    722. 

  722. 

  723. <pre class="rust rust-example-rendered">
    724. 

  724. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    725. 

  725. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    726. 

  726. 

  727. <span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">E</span>;
    728. 

  728. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">1.0</span>;
    729. 

  729. 

  730. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">sinh</span>();
    731. 

  731. <span class="comment">// Solving sinh() at 1 gives `(e^2-1)/(2e)`</span>
    732. 

  732. <span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> (<span class="ident">e</span><span class="kw-2">*</span><span class="ident">e</span> <span class="op">-</span> <span class="number">1.0</span>)<span class="op">/</span>(<span class="number">2.0</span><span class="kw-2">*</span><span class="ident">e</span>);
    733. 

  733. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span> <span class="op">-</span> <span class="ident">g</span>).<span class="ident">abs</span>();
    734. 

  734. 

  735. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    736. 

  736. </div><h3 id='tymethod.cosh' class='method'><span id='cosh.v' class='invisible'><code>fn <a href='#tymethod.cosh' class='fnname'>cosh</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Hyperbolic cosine function.</p>
    737. 

  737. 

  738. <pre class="rust rust-example-rendered">
    739. 

  739. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    740. 

  740. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    741. 

  741. 

  742. <span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">E</span>;
    743. 

  743. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">1.0</span>;
    744. 

  744. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">cosh</span>();
    745. 

  745. <span class="comment">// Solving cosh() at 1 gives this result</span>
    746. 

  746. <span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> (<span class="ident">e</span><span class="kw-2">*</span><span class="ident">e</span> <span class="op">+</span> <span class="number">1.0</span>)<span class="op">/</span>(<span class="number">2.0</span><span class="kw-2">*</span><span class="ident">e</span>);
    747. 

  747. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span> <span class="op">-</span> <span class="ident">g</span>).<span class="ident">abs</span>();
    748. 

  748. 

  749. <span class="comment">// Same result</span>
    750. 

  750. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1.0e-10</span>);</pre>
    751. 

  751. </div><h3 id='tymethod.tanh' class='method'><span id='tanh.v' class='invisible'><code>fn <a href='#tymethod.tanh' class='fnname'>tanh</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Hyperbolic tangent function.</p>
    752. 

  752. 

  753. <pre class="rust rust-example-rendered">
    754. 

  754. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    755. 

  755. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    756. 

  756. 

  757. <span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">E</span>;
    758. 

  758. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">1.0</span>;
    759. 

  759. 

  760. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">tanh</span>();
    761. 

  761. <span class="comment">// Solving tanh() at 1 gives `(1 - e^(-2))/(1 + e^(-2))`</span>
    762. 

  762. <span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> (<span class="number">1.0</span> <span class="op">-</span> <span class="ident">e</span>.<span class="ident">powi</span>(<span class="op">-</span><span class="number">2</span>))<span class="op">/</span>(<span class="number">1.0</span> <span class="op">+</span> <span class="ident">e</span>.<span class="ident">powi</span>(<span class="op">-</span><span class="number">2</span>));
    763. 

  763. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span> <span class="op">-</span> <span class="ident">g</span>).<span class="ident">abs</span>();
    764. 

  764. 

  765. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1.0e-10</span>);</pre>
    766. 

  766. </div><h3 id='tymethod.asinh' class='method'><span id='asinh.v' class='invisible'><code>fn <a href='#tymethod.asinh' class='fnname'>asinh</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Inverse hyperbolic sine function.</p>
    767. 

  767. 

  768. <pre class="rust rust-example-rendered">
    769. 

  769. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    770. 

  770. 

  771. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">1.0</span>;
    772. 

  772. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">sinh</span>().<span class="ident">asinh</span>();
    773. 

  773. 

  774. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span> <span class="op">-</span> <span class="ident">x</span>).<span class="ident">abs</span>();
    775. 

  775. 

  776. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1.0e-10</span>);</pre>
    777. 

  777. </div><h3 id='tymethod.acosh' class='method'><span id='acosh.v' class='invisible'><code>fn <a href='#tymethod.acosh' class='fnname'>acosh</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Inverse hyperbolic cosine function.</p>
    778. 

  778. 

  779. <pre class="rust rust-example-rendered">
    780. 

  780. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    781. 

  781. 

  782. <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">1.0</span>;
    783. 

  783. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">cosh</span>().<span class="ident">acosh</span>();
    784. 

  784. 

  785. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span> <span class="op">-</span> <span class="ident">x</span>).<span class="ident">abs</span>();
    786. 

  786. 

  787. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1.0e-10</span>);</pre>
    788. 

  788. </div><h3 id='tymethod.atanh' class='method'><span id='atanh.v' class='invisible'><code>fn <a href='#tymethod.atanh' class='fnname'>atanh</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Inverse hyperbolic tangent function.</p>
    789. 

  789. 

  790. <pre class="rust rust-example-rendered">
    791. 

  791. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    792. 

  792. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    793. 

  793. 

  794. <span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">E</span>;
    795. 

  795. <span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">e</span>.<span class="ident">tanh</span>().<span class="ident">atanh</span>();
    796. 

  796. 

  797. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">f</span> <span class="op">-</span> <span class="ident">e</span>).<span class="ident">abs</span>();
    798. 

  798. 

  799. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1.0e-10</span>);</pre>
    800. 

  800. </div><h3 id='tymethod.integer_decode' class='method'><span id='integer_decode.v' class='invisible'><code>fn <a href='#tymethod.integer_decode' class='fnname'>integer_decode</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code></span></h3><div class='docblock'><p>Returns the mantissa, base 2 exponent, and sign as integers, respectively.
    801. 

  801. The original number can be recovered by <code>sign * mantissa * 2 ^ exponent</code>.</p>
    802. 

  802. 

  803. <pre class="rust rust-example-rendered">
    804. 

  804. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    805. 

  805. 

  806. <span class="kw">let</span> <span class="ident">num</span> <span class="op">=</span> <span class="number">2.0f32</span>;
    807. 

  807. 

  808. <span class="comment">// (8388608, -22, 1)</span>
    809. 

  809. <span class="kw">let</span> (<span class="ident">mantissa</span>, <span class="ident">exponent</span>, <span class="ident">sign</span>) <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">integer_decode</span>(<span class="ident">num</span>);
    810. 

  810. <span class="kw">let</span> <span class="ident">sign_f</span> <span class="op">=</span> <span class="ident">sign</span> <span class="kw">as</span> <span class="ident">f32</span>;
    811. 

  811. <span class="kw">let</span> <span class="ident">mantissa_f</span> <span class="op">=</span> <span class="ident">mantissa</span> <span class="kw">as</span> <span class="ident">f32</span>;
    812. 

  812. <span class="kw">let</span> <span class="ident">exponent_f</span> <span class="op">=</span> <span class="ident">num</span>.<span class="ident">powf</span>(<span class="ident">exponent</span> <span class="kw">as</span> <span class="ident">f32</span>);
    813. 

  813. 

  814. <span class="comment">// 1 * 8388608 * 2^(-22) == 2</span>
    815. 

  815. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">sign_f</span> <span class="op">*</span> <span class="ident">mantissa_f</span> <span class="op">*</span> <span class="ident">exponent_f</span> <span class="op">-</span> <span class="ident">num</span>).<span class="ident">abs</span>();
    816. 

  816. 

  817. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    818. 

  818. </div></div>
    819. 

  819.             <h2 id='provided-methods' class='small-section-header'>
    820. 

  820.               Provided Methods<a href='#provided-methods' class='anchor'></a>
    821. 

  821.             </h2>
    822. 

  822.             <div class='methods'>
    823. 

  823.         <h3 id='method.epsilon' class='method'><span id='epsilon.v' class='invisible'><code>fn <a href='#method.epsilon' class='fnname'>epsilon</a>() -&gt; Self</code></span></h3><div class='docblock'><p>Returns epsilon, a small positive value.</p>
    824. 

  824. 

  825. <pre class="rust rust-example-rendered">
    826. 

  826. <span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">Float</span>;
    827. 

  827. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
    828. 

  828. 

  829. <span class="kw">let</span> <span class="ident">x</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">epsilon</span>();
    830. 

  830. 

  831. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>, <span class="ident">f64</span>::<span class="ident">EPSILON</span>);</pre>
    832. 

  832. <h1 id="panics" class="section-header"><a href="#panics">Panics</a></h1>
    833. 

  833. <p>The default implementation will panic if <code>f32::EPSILON</code> cannot
    834. 

  834. be cast to <code>Self</code>.</p>
    835. 

  835. </div><h3 id='method.to_degrees' class='method'><span id='to_degrees.v' class='invisible'><code>fn <a href='#method.to_degrees' class='fnname'>to_degrees</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Converts radians to degrees.</p>
    836. 

  836. 

  837. <pre class="rust rust-example-rendered">
    838. 

  838. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>::<span class="ident">consts</span>;
    839. 

  839. 

  840. <span class="kw">let</span> <span class="ident">angle</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">PI</span>;
    841. 

  841. 

  842. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">angle</span>.<span class="ident">to_degrees</span>() <span class="op">-</span> <span class="number">180.0</span>).<span class="ident">abs</span>();
    843. 

  843. 

  844. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    845. 

  845. </div><h3 id='method.to_radians' class='method'><span id='to_radians.v' class='invisible'><code>fn <a href='#method.to_radians' class='fnname'>to_radians</a>(self) -&gt; Self</code></span></h3><div class='docblock'><p>Converts degrees to radians.</p>
    846. 

  846. 

  847. <pre class="rust rust-example-rendered">
    848. 

  848. <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>::<span class="ident">consts</span>;
    849. 

  849. 

  850. <span class="kw">let</span> <span class="ident">angle</span> <span class="op">=</span> <span class="number">180.0_f64</span>;
    851. 

  851. 

  852. <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">angle</span>.<span class="ident">to_radians</span>() <span class="op">-</span> <span class="ident">consts</span>::<span class="ident">PI</span>).<span class="ident">abs</span>();
    853. 

  853. 

  854. <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op">&lt;</span> <span class="number">1e-10</span>);</pre>
    855. 

  855. </div></div>
    856. 

  856.                 <h2 id='foreign-impls' class='small-section-header'>
    857. 

  857.                   Implementations on Foreign Types<a href='#foreign-impls' class='anchor'></a>
    858. 

  858.                 </h2>
    859. 

  859.             <h3 id='impl-Float' class='impl'><span class='in-band'><code>impl <a class="trait" href="../num_traits/float/trait.Float.html" title="trait num_traits::float::Float">Float</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code><a href='#impl-Float' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/float.rs.html#1799-1871' title='goto source code'>[src]</a></span></h3>
    860. 

  860. <span class='docblock autohide'><div class='impl-items'><h4 id='method.nan' class="method"><span id='nan.v-1' class='invisible'><code>fn <a href='#method.nan' class='fnname'>nan</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    861. 

  861. <h4 id='method.infinity' class="method"><span id='infinity.v-1' class='invisible'><code>fn <a href='#method.infinity' class='fnname'>infinity</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    862. 

  862. <h4 id='method.neg_infinity' class="method"><span id='neg_infinity.v-1' class='invisible'><code>fn <a href='#method.neg_infinity' class='fnname'>neg_infinity</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    863. 

  863. <h4 id='method.neg_zero' class="method"><span id='neg_zero.v-1' class='invisible'><code>fn <a href='#method.neg_zero' class='fnname'>neg_zero</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    864. 

  864. <h4 id='method.min_value' class="method"><span id='min_value.v-1' class='invisible'><code>fn <a href='#method.min_value' class='fnname'>min_value</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    865. 

  865. <h4 id='method.min_positive_value' class="method"><span id='min_positive_value.v-1' class='invisible'><code>fn <a href='#method.min_positive_value' class='fnname'>min_positive_value</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    866. 

  866. <h4 id='method.epsilon-1' class="method"><span id='epsilon.v-1' class='invisible'><code>fn <a href='#method.epsilon' class='fnname'>epsilon</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    867. 

  867. <h4 id='method.max_value' class="method"><span id='max_value.v-1' class='invisible'><code>fn <a href='#method.max_value' class='fnname'>max_value</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    868. 

  868. <h4 id='method.abs_sub' class="method"><span id='abs_sub.v-1' class='invisible'><code>fn <a href='#method.abs_sub' class='fnname'>abs_sub</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/float.rs.html#1813-1815' title='goto source code'>[src]</a></span></h4>
    869. 

  869. <h4 id='method.integer_decode' class="method"><span id='integer_decode.v-1' class='invisible'><code>fn <a href='#method.integer_decode' class='fnname'>integer_decode</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/float.rs.html#1818-1820' title='goto source code'>[src]</a></span></h4>
    870. 

  870. <h4 id='method.is_nan' class="method"><span id='is_nan.v-1' class='invisible'><code>fn <a href='#method.is_nan' class='fnname'>is_nan</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    871. 

  871. <h4 id='method.is_infinite' class="method"><span id='is_infinite.v-1' class='invisible'><code>fn <a href='#method.is_infinite' class='fnname'>is_infinite</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    872. 

  872. <h4 id='method.is_finite' class="method"><span id='is_finite.v-1' class='invisible'><code>fn <a href='#method.is_finite' class='fnname'>is_finite</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    873. 

  873. <h4 id='method.is_normal' class="method"><span id='is_normal.v-1' class='invisible'><code>fn <a href='#method.is_normal' class='fnname'>is_normal</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    874. 

  874. <h4 id='method.classify' class="method"><span id='classify.v-1' class='invisible'><code>fn <a href='#method.classify' class='fnname'>classify</a>(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/num/enum.FpCategory.html" title="enum core::num::FpCategory">FpCategory</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    875. 

  875. <h4 id='method.floor' class="method"><span id='floor.v-1' class='invisible'><code>fn <a href='#method.floor' class='fnname'>floor</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    876. 

  876. <h4 id='method.ceil' class="method"><span id='ceil.v-1' class='invisible'><code>fn <a href='#method.ceil' class='fnname'>ceil</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    877. 

  877. <h4 id='method.round' class="method"><span id='round.v-1' class='invisible'><code>fn <a href='#method.round' class='fnname'>round</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    878. 

  878. <h4 id='method.trunc' class="method"><span id='trunc.v-1' class='invisible'><code>fn <a href='#method.trunc' class='fnname'>trunc</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    879. 

  879. <h4 id='method.fract' class="method"><span id='fract.v-1' class='invisible'><code>fn <a href='#method.fract' class='fnname'>fract</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    880. 

  880. <h4 id='method.abs' class="method"><span id='abs.v-1' class='invisible'><code>fn <a href='#method.abs' class='fnname'>abs</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    881. 

  881. <h4 id='method.signum' class="method"><span id='signum.v-1' class='invisible'><code>fn <a href='#method.signum' class='fnname'>signum</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    882. 

  882. <h4 id='method.is_sign_positive' class="method"><span id='is_sign_positive.v-1' class='invisible'><code>fn <a href='#method.is_sign_positive' class='fnname'>is_sign_positive</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    883. 

  883. <h4 id='method.is_sign_negative' class="method"><span id='is_sign_negative.v-1' class='invisible'><code>fn <a href='#method.is_sign_negative' class='fnname'>is_sign_negative</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    884. 

  884. <h4 id='method.mul_add' class="method"><span id='mul_add.v-1' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    885. 

  885. <h4 id='method.recip' class="method"><span id='recip.v-1' class='invisible'><code>fn <a href='#method.recip' class='fnname'>recip</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    886. 

  886. <h4 id='method.powi' class="method"><span id='powi.v-1' class='invisible'><code>fn <a href='#method.powi' class='fnname'>powi</a>(self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    887. 

  887. <h4 id='method.powf' class="method"><span id='powf.v-1' class='invisible'><code>fn <a href='#method.powf' class='fnname'>powf</a>(self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    888. 

  888. <h4 id='method.sqrt' class="method"><span id='sqrt.v-1' class='invisible'><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    889. 

  889. <h4 id='method.exp' class="method"><span id='exp.v-1' class='invisible'><code>fn <a href='#method.exp' class='fnname'>exp</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    890. 

  890. <h4 id='method.exp2' class="method"><span id='exp2.v-1' class='invisible'><code>fn <a href='#method.exp2' class='fnname'>exp2</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    891. 

  891. <h4 id='method.ln' class="method"><span id='ln.v-1' class='invisible'><code>fn <a href='#method.ln' class='fnname'>ln</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    892. 

  892. <h4 id='method.log' class="method"><span id='log.v-1' class='invisible'><code>fn <a href='#method.log' class='fnname'>log</a>(self, base: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    893. 

  893. <h4 id='method.log2' class="method"><span id='log2.v-1' class='invisible'><code>fn <a href='#method.log2' class='fnname'>log2</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    894. 

  894. <h4 id='method.log10' class="method"><span id='log10.v-1' class='invisible'><code>fn <a href='#method.log10' class='fnname'>log10</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    895. 

  895. <h4 id='method.to_degrees-1' class="method"><span id='to_degrees.v-1' class='invisible'><code>fn <a href='#method.to_degrees' class='fnname'>to_degrees</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    896. 

  896. <h4 id='method.to_radians-1' class="method"><span id='to_radians.v-1' class='invisible'><code>fn <a href='#method.to_radians' class='fnname'>to_radians</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    897. 

  897. <h4 id='method.max' class="method"><span id='max.v-1' class='invisible'><code>fn <a href='#method.max' class='fnname'>max</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    898. 

  898. <h4 id='method.min' class="method"><span id='min.v-1' class='invisible'><code>fn <a href='#method.min' class='fnname'>min</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    899. 

  899. <h4 id='method.cbrt' class="method"><span id='cbrt.v-1' class='invisible'><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    900. 

  900. <h4 id='method.hypot' class="method"><span id='hypot.v-1' class='invisible'><code>fn <a href='#method.hypot' class='fnname'>hypot</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    901. 

  901. <h4 id='method.sin' class="method"><span id='sin.v-1' class='invisible'><code>fn <a href='#method.sin' class='fnname'>sin</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    902. 

  902. <h4 id='method.cos' class="method"><span id='cos.v-1' class='invisible'><code>fn <a href='#method.cos' class='fnname'>cos</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    903. 

  903. <h4 id='method.tan' class="method"><span id='tan.v-1' class='invisible'><code>fn <a href='#method.tan' class='fnname'>tan</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    904. 

  904. <h4 id='method.asin' class="method"><span id='asin.v-1' class='invisible'><code>fn <a href='#method.asin' class='fnname'>asin</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    905. 

  905. <h4 id='method.acos' class="method"><span id='acos.v-1' class='invisible'><code>fn <a href='#method.acos' class='fnname'>acos</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    906. 

  906. <h4 id='method.atan' class="method"><span id='atan.v-1' class='invisible'><code>fn <a href='#method.atan' class='fnname'>atan</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    907. 

  907. <h4 id='method.atan2' class="method"><span id='atan2.v-1' class='invisible'><code>fn <a href='#method.atan2' class='fnname'>atan2</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    908. 

  908. <h4 id='method.sin_cos' class="method"><span id='sin_cos.v-1' class='invisible'><code>fn <a href='#method.sin_cos' class='fnname'>sin_cos</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    909. 

  909. <h4 id='method.exp_m1' class="method"><span id='exp_m1.v-1' class='invisible'><code>fn <a href='#method.exp_m1' class='fnname'>exp_m1</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    910. 

  910. <h4 id='method.ln_1p' class="method"><span id='ln_1p.v-1' class='invisible'><code>fn <a href='#method.ln_1p' class='fnname'>ln_1p</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    911. 

  911. <h4 id='method.sinh' class="method"><span id='sinh.v-1' class='invisible'><code>fn <a href='#method.sinh' class='fnname'>sinh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    912. 

  912. <h4 id='method.cosh' class="method"><span id='cosh.v-1' class='invisible'><code>fn <a href='#method.cosh' class='fnname'>cosh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    913. 

  913. <h4 id='method.tanh' class="method"><span id='tanh.v-1' class='invisible'><code>fn <a href='#method.tanh' class='fnname'>tanh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    914. 

  914. <h4 id='method.asinh' class="method"><span id='asinh.v-1' class='invisible'><code>fn <a href='#method.asinh' class='fnname'>asinh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    915. 

  915. <h4 id='method.acosh' class="method"><span id='acosh.v-1' class='invisible'><code>fn <a href='#method.acosh' class='fnname'>acosh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    916. 

  916. <h4 id='method.atanh' class="method"><span id='atanh.v-1' class='invisible'><code>fn <a href='#method.atanh' class='fnname'>atanh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    917. 

  917. </div></span><h3 id='impl-Float-1' class='impl'><span class='in-band'><code>impl <a class="trait" href="../num_traits/float/trait.Float.html" title="trait num_traits::float::Float">Float</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code><a href='#impl-Float-1' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/float.rs.html#1799-1871' title='goto source code'>[src]</a></span></h3>
    918. 

  918. <span class='docblock autohide'><div class='impl-items'><h4 id='method.nan-1' class="method"><span id='nan.v-2' class='invisible'><code>fn <a href='#method.nan' class='fnname'>nan</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    919. 

  919. <h4 id='method.infinity-1' class="method"><span id='infinity.v-2' class='invisible'><code>fn <a href='#method.infinity' class='fnname'>infinity</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    920. 

  920. <h4 id='method.neg_infinity-1' class="method"><span id='neg_infinity.v-2' class='invisible'><code>fn <a href='#method.neg_infinity' class='fnname'>neg_infinity</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    921. 

  921. <h4 id='method.neg_zero-1' class="method"><span id='neg_zero.v-2' class='invisible'><code>fn <a href='#method.neg_zero' class='fnname'>neg_zero</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    922. 

  922. <h4 id='method.min_value-1' class="method"><span id='min_value.v-2' class='invisible'><code>fn <a href='#method.min_value' class='fnname'>min_value</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    923. 

  923. <h4 id='method.min_positive_value-1' class="method"><span id='min_positive_value.v-2' class='invisible'><code>fn <a href='#method.min_positive_value' class='fnname'>min_positive_value</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    924. 

  924. <h4 id='method.epsilon-2' class="method"><span id='epsilon.v-2' class='invisible'><code>fn <a href='#method.epsilon' class='fnname'>epsilon</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    925. 

  925. <h4 id='method.max_value-1' class="method"><span id='max_value.v-2' class='invisible'><code>fn <a href='#method.max_value' class='fnname'>max_value</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#33-35' title='goto source code'>[src]</a></span></h4>
    926. 

  926. <h4 id='method.abs_sub-1' class="method"><span id='abs_sub.v-2' class='invisible'><code>fn <a href='#method.abs_sub' class='fnname'>abs_sub</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/float.rs.html#1813-1815' title='goto source code'>[src]</a></span></h4>
    927. 

  927. <h4 id='method.integer_decode-1' class="method"><span id='integer_decode.v-2' class='invisible'><code>fn <a href='#method.integer_decode' class='fnname'>integer_decode</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/float.rs.html#1818-1820' title='goto source code'>[src]</a></span></h4>
    928. 

  928. <h4 id='method.is_nan-1' class="method"><span id='is_nan.v-2' class='invisible'><code>fn <a href='#method.is_nan' class='fnname'>is_nan</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    929. 

  929. <h4 id='method.is_infinite-1' class="method"><span id='is_infinite.v-2' class='invisible'><code>fn <a href='#method.is_infinite' class='fnname'>is_infinite</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    930. 

  930. <h4 id='method.is_finite-1' class="method"><span id='is_finite.v-2' class='invisible'><code>fn <a href='#method.is_finite' class='fnname'>is_finite</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    931. 

  931. <h4 id='method.is_normal-1' class="method"><span id='is_normal.v-2' class='invisible'><code>fn <a href='#method.is_normal' class='fnname'>is_normal</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    932. 

  932. <h4 id='method.classify-1' class="method"><span id='classify.v-2' class='invisible'><code>fn <a href='#method.classify' class='fnname'>classify</a>(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/num/enum.FpCategory.html" title="enum core::num::FpCategory">FpCategory</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    933. 

  933. <h4 id='method.floor-1' class="method"><span id='floor.v-2' class='invisible'><code>fn <a href='#method.floor' class='fnname'>floor</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    934. 

  934. <h4 id='method.ceil-1' class="method"><span id='ceil.v-2' class='invisible'><code>fn <a href='#method.ceil' class='fnname'>ceil</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    935. 

  935. <h4 id='method.round-1' class="method"><span id='round.v-2' class='invisible'><code>fn <a href='#method.round' class='fnname'>round</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    936. 

  936. <h4 id='method.trunc-1' class="method"><span id='trunc.v-2' class='invisible'><code>fn <a href='#method.trunc' class='fnname'>trunc</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    937. 

  937. <h4 id='method.fract-1' class="method"><span id='fract.v-2' class='invisible'><code>fn <a href='#method.fract' class='fnname'>fract</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    938. 

  938. <h4 id='method.abs-1' class="method"><span id='abs.v-2' class='invisible'><code>fn <a href='#method.abs' class='fnname'>abs</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    939. 

  939. <h4 id='method.signum-1' class="method"><span id='signum.v-2' class='invisible'><code>fn <a href='#method.signum' class='fnname'>signum</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    940. 

  940. <h4 id='method.is_sign_positive-1' class="method"><span id='is_sign_positive.v-2' class='invisible'><code>fn <a href='#method.is_sign_positive' class='fnname'>is_sign_positive</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    941. 

  941. <h4 id='method.is_sign_negative-1' class="method"><span id='is_sign_negative.v-2' class='invisible'><code>fn <a href='#method.is_sign_negative' class='fnname'>is_sign_negative</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    942. 

  942. <h4 id='method.mul_add-1' class="method"><span id='mul_add.v-2' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    943. 

  943. <h4 id='method.recip-1' class="method"><span id='recip.v-2' class='invisible'><code>fn <a href='#method.recip' class='fnname'>recip</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    944. 

  944. <h4 id='method.powi-1' class="method"><span id='powi.v-2' class='invisible'><code>fn <a href='#method.powi' class='fnname'>powi</a>(self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    945. 

  945. <h4 id='method.powf-1' class="method"><span id='powf.v-2' class='invisible'><code>fn <a href='#method.powf' class='fnname'>powf</a>(self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    946. 

  946. <h4 id='method.sqrt-1' class="method"><span id='sqrt.v-2' class='invisible'><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    947. 

  947. <h4 id='method.exp-1' class="method"><span id='exp.v-2' class='invisible'><code>fn <a href='#method.exp' class='fnname'>exp</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    948. 

  948. <h4 id='method.exp2-1' class="method"><span id='exp2.v-2' class='invisible'><code>fn <a href='#method.exp2' class='fnname'>exp2</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    949. 

  949. <h4 id='method.ln-1' class="method"><span id='ln.v-2' class='invisible'><code>fn <a href='#method.ln' class='fnname'>ln</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    950. 

  950. <h4 id='method.log-1' class="method"><span id='log.v-2' class='invisible'><code>fn <a href='#method.log' class='fnname'>log</a>(self, base: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    951. 

  951. <h4 id='method.log2-1' class="method"><span id='log2.v-2' class='invisible'><code>fn <a href='#method.log2' class='fnname'>log2</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    952. 

  952. <h4 id='method.log10-1' class="method"><span id='log10.v-2' class='invisible'><code>fn <a href='#method.log10' class='fnname'>log10</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    953. 

  953. <h4 id='method.to_degrees-2' class="method"><span id='to_degrees.v-2' class='invisible'><code>fn <a href='#method.to_degrees' class='fnname'>to_degrees</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    954. 

  954. <h4 id='method.to_radians-2' class="method"><span id='to_radians.v-2' class='invisible'><code>fn <a href='#method.to_radians' class='fnname'>to_radians</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    955. 

  955. <h4 id='method.max-1' class="method"><span id='max.v-2' class='invisible'><code>fn <a href='#method.max' class='fnname'>max</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    956. 

  956. <h4 id='method.min-1' class="method"><span id='min.v-2' class='invisible'><code>fn <a href='#method.min' class='fnname'>min</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    957. 

  957. <h4 id='method.cbrt-1' class="method"><span id='cbrt.v-2' class='invisible'><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    958. 

  958. <h4 id='method.hypot-1' class="method"><span id='hypot.v-2' class='invisible'><code>fn <a href='#method.hypot' class='fnname'>hypot</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    959. 

  959. <h4 id='method.sin-1' class="method"><span id='sin.v-2' class='invisible'><code>fn <a href='#method.sin' class='fnname'>sin</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    960. 

  960. <h4 id='method.cos-1' class="method"><span id='cos.v-2' class='invisible'><code>fn <a href='#method.cos' class='fnname'>cos</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    961. 

  961. <h4 id='method.tan-1' class="method"><span id='tan.v-2' class='invisible'><code>fn <a href='#method.tan' class='fnname'>tan</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    962. 

  962. <h4 id='method.asin-1' class="method"><span id='asin.v-2' class='invisible'><code>fn <a href='#method.asin' class='fnname'>asin</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    963. 

  963. <h4 id='method.acos-1' class="method"><span id='acos.v-2' class='invisible'><code>fn <a href='#method.acos' class='fnname'>acos</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    964. 

  964. <h4 id='method.atan-1' class="method"><span id='atan.v-2' class='invisible'><code>fn <a href='#method.atan' class='fnname'>atan</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    965. 

  965. <h4 id='method.atan2-1' class="method"><span id='atan2.v-2' class='invisible'><code>fn <a href='#method.atan2' class='fnname'>atan2</a>(self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    966. 

  966. <h4 id='method.sin_cos-1' class="method"><span id='sin_cos.v-2' class='invisible'><code>fn <a href='#method.sin_cos' class='fnname'>sin_cos</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    967. 

  967. <h4 id='method.exp_m1-1' class="method"><span id='exp_m1.v-2' class='invisible'><code>fn <a href='#method.exp_m1' class='fnname'>exp_m1</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    968. 

  968. <h4 id='method.ln_1p-1' class="method"><span id='ln_1p.v-2' class='invisible'><code>fn <a href='#method.ln_1p' class='fnname'>ln_1p</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    969. 

  969. <h4 id='method.sinh-1' class="method"><span id='sinh.v-2' class='invisible'><code>fn <a href='#method.sinh' class='fnname'>sinh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    970. 

  970. <h4 id='method.cosh-1' class="method"><span id='cosh.v-2' class='invisible'><code>fn <a href='#method.cosh' class='fnname'>cosh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    971. 

  971. <h4 id='method.tanh-1' class="method"><span id='tanh.v-2' class='invisible'><code>fn <a href='#method.tanh' class='fnname'>tanh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    972. 

  972. <h4 id='method.asinh-1' class="method"><span id='asinh.v-2' class='invisible'><code>fn <a href='#method.asinh' class='fnname'>asinh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    973. 

  973. <h4 id='method.acosh-1' class="method"><span id='acosh.v-2' class='invisible'><code>fn <a href='#method.acosh' class='fnname'>acosh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
    974. 

  974. <h4 id='method.atanh-1' class="method"><span id='atanh.v-2' class='invisible'><code>fn <a href='#method.atanh' class='fnname'>atanh</a>(self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_traits/macros.rs.html#9-11' title='goto source code'>[src]</a></span></h4>
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