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  1. <!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="API documentation for the Rust `Roots` trait in crate `num_integer`."><meta name="keywords" content="rust, rustlang, rust-lang, Roots"><title>num_integer::Roots - Rust</title><link rel="stylesheet" type="text/css" href="../normalize.css"><link rel="stylesheet" type="text/css" href="../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../dark.css"><link rel="stylesheet" type="text/css" href="../light.css" id="themeStyle"><script src="../storage.js"></script></head><body class="rustdoc trait"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><div class="sidebar-menu">&#9776;</div><p class='location'>Trait Roots</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.nth_root">nth_root</a></div><a class="sidebar-title" href="#provided-methods">Provided Methods</a><div class="sidebar-links"><a href="#method.sqrt">sqrt</a><a href="#method.cbrt">cbrt</a></div><a class="sidebar-title" href="#foreign-impls">Implementations on Foreign Types</a><div class="sidebar-links"><a href="#impl-Roots">i8</a><a href="#impl-Roots">i16</a><a href="#impl-Roots">i32</a><a href="#impl-Roots">i64</a><a href="#impl-Roots">i128</a><a href="#impl-Roots">isize</a><a href="#impl-Roots">u8</a><a href="#impl-Roots">u16</a><a href="#impl-Roots">u32</a><a href="#impl-Roots">u64</a><a href="#impl-Roots">u128</a><a href="#impl-Roots">usize</a></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='index.html'>num_integer</a></p><script>window.sidebarCurrent = {name: 'Roots', ty: 'trait', relpath: ''};</script><script defer src="sidebar-items.js"></script></div></nav><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!"><img src="../brush.svg" width="18" alt="Pick another theme!"></button><div id="theme-choices"></div></div><script src="../theme.js"></script><nav class="sub"><form class="search-form js-only"><div class="search-container"><input class="search-input" name="search" autocomplete="off" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><a id="settings-menu" href="../settings.html"><img src="../wheel.svg" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><h1 class='fqn'><span class='in-band'>Trait <a href='index.html'>num_integer</a>::<wbr><a class="trait" href=''>Roots</a></span><span class='out-of-band'><span id='render-detail'><a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class='inner'>&#x2212;</span>]</a></span><a class='srclink' href='../src/num_integer/roots.rs.html#9-111' title='goto source code'>[src]</a></span></h1><div class="docblock type-decl"><pre class='rust trait'>pub trait Roots: <a class="trait" href="../num_integer/trait.Integer.html" title="trait num_integer::Integer">Integer</a> {
    2. 

  2.     fn <a href='#tymethod.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self;
    3. 

  3. 

  4.     fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self { ... }
    5. 

  5. <div class='item-spacer'></div>    fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self { ... }
    6. 

  6. }</pre></div><div class='docblock'><p>Provides methods to compute an integer's square root, cube root,
    7. 

  7. and arbitrary <code>n</code>th root.</p>
    8. 

  8. </div>
    9. 

  9.             <h2 id='required-methods' class='small-section-header'>
    10. 

  10.               Required Methods<a href='#required-methods' class='anchor'></a>
    11. 

  11.             </h2>
    12. 

  12.             <div class='methods'>
    13. 

  13.         <h3 id='tymethod.nth_root' class='method'><span id='nth_root.v' class='invisible'><code>fn <a href='#tymethod.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the truncated principal <code>n</code>th root of an integer
    14. 

  14. -- <code>if x &gt;= 0 { ⌊ⁿ√x⌋ } else { ⌈ⁿ√x⌉ }</code></p>
    15. 

  15. <p>This is solving for <code>r</code> in <code>rⁿ = x</code>, rounding toward zero.
    16. 

  16. If <code>x</code> is positive, the result will satisfy <code>rⁿ ≤ x &lt; (r+1)ⁿ</code>.
    17. 

  17. If <code>x</code> is negative and <code>n</code> is odd, then <code>(r-1)ⁿ &lt; x ≤ rⁿ</code>.</p>
    18. 

  18. <h1 id="panics" class="section-header"><a href="#panics">Panics</a></h1>
    19. 

  19. <p>Panics if <code>n</code> is zero:</p>
    20. 

  20. 

  21. <pre class="rust rust-example-rendered">
    22. 

  22. <span class="macro">println</span><span class="macro">!</span>(<span class="string">&quot;can&#39;t compute ⁰√x : {}&quot;</span>, <span class="number">123</span>.<span class="ident">nth_root</span>(<span class="number">0</span>));</pre>
    23. 

  23. <p>or if <code>n</code> is even and <code>self</code> is negative:</p>
    24. 

  24. 

  25. <pre class="rust rust-example-rendered">
    26. 

  26. <span class="macro">println</span><span class="macro">!</span>(<span class="string">&quot;no imaginary numbers... {}&quot;</span>, (<span class="op">-</span><span class="number">1</span>).<span class="ident">nth_root</span>(<span class="number">10</span>));</pre>
    27. 

  27. <h1 id="examples" class="section-header"><a href="#examples">Examples</a></h1>
    28. 

  28. <pre class="rust rust-example-rendered">
    29. 

  29. <span class="kw">use</span> <span class="ident">num_integer</span>::<span class="ident">Roots</span>;
    30. 

  30. 

  31. <span class="kw">let</span> <span class="ident">x</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="number">12345</span>;
    32. 

  32. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">nth_root</span>(<span class="number">1</span>), <span class="ident">x</span>);
    33. 

  33. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">nth_root</span>(<span class="number">2</span>), <span class="ident">x</span>.<span class="ident">sqrt</span>());
    34. 

  34. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">nth_root</span>(<span class="number">3</span>), <span class="ident">x</span>.<span class="ident">cbrt</span>());
    35. 

  35. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">nth_root</span>(<span class="number">4</span>), <span class="number">10</span>);
    36. 

  36. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">nth_root</span>(<span class="number">13</span>), <span class="number">2</span>);
    37. 

  37. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">nth_root</span>(<span class="number">14</span>), <span class="number">1</span>);
    38. 

  38. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">nth_root</span>(<span class="ident">std</span>::<span class="ident">u32</span>::<span class="ident">MAX</span>), <span class="number">1</span>);
    39. 

  39. 

  40. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">std</span>::<span class="ident">i32</span>::<span class="ident">MAX</span>.<span class="ident">nth_root</span>(<span class="number">30</span>), <span class="number">2</span>);
    41. 

  41. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">std</span>::<span class="ident">i32</span>::<span class="ident">MAX</span>.<span class="ident">nth_root</span>(<span class="number">31</span>), <span class="number">1</span>);
    42. 

  42. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">std</span>::<span class="ident">i32</span>::<span class="ident">MIN</span>.<span class="ident">nth_root</span>(<span class="number">31</span>), <span class="op">-</span><span class="number">2</span>);
    43. 

  43. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="ident">std</span>::<span class="ident">i32</span>::<span class="ident">MIN</span> <span class="op">+</span> <span class="number">1</span>).<span class="ident">nth_root</span>(<span class="number">31</span>), <span class="op">-</span><span class="number">1</span>);
    44. 

  44. 

  45. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">std</span>::<span class="ident">u32</span>::<span class="ident">MAX</span>.<span class="ident">nth_root</span>(<span class="number">31</span>), <span class="number">2</span>);
    46. 

  46. <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">std</span>::<span class="ident">u32</span>::<span class="ident">MAX</span>.<span class="ident">nth_root</span>(<span class="number">32</span>), <span class="number">1</span>);</pre>
    47. 

  47. </div></div>
    48. 

  48.             <h2 id='provided-methods' class='small-section-header'>
    49. 

  49.               Provided Methods<a href='#provided-methods' class='anchor'></a>
    50. 

  50.             </h2>
    51. 

  51.             <div class='methods'>
    52. 

  52.         <h3 id='method.sqrt' class='method'><span id='sqrt.v' class='invisible'><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the truncated principal square root of an integer -- <code>⌊√x⌋</code></p>
    53. 

  53. <p>This is solving for <code>r</code> in <code>r² = x</code>, rounding toward zero.
    54. 

  54. The result will satisfy <code>r² ≤ x &lt; (r+1)²</code>.</p>
    55. 

  55. <h1 id="panics-1" class="section-header"><a href="#panics-1">Panics</a></h1>
    56. 

  56. <p>Panics if <code>self</code> is less than zero:</p>
    57. 

  57. 

  58. <pre class="rust rust-example-rendered">
    59. 

  59. <span class="macro">println</span><span class="macro">!</span>(<span class="string">&quot;no imaginary numbers... {}&quot;</span>, (<span class="op">-</span><span class="number">1</span>).<span class="ident">sqrt</span>());</pre>
    60. 

  60. <h1 id="examples-1" class="section-header"><a href="#examples-1">Examples</a></h1>
    61. 

  61. <pre class="rust rust-example-rendered">
    62. 

  62. <span class="kw">use</span> <span class="ident">num_integer</span>::<span class="ident">Roots</span>;
    63. 

  63. 

  64. <span class="kw">let</span> <span class="ident">x</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="number">12345</span>;
    65. 

  65. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span>).<span class="ident">sqrt</span>(), <span class="ident">x</span>);
    66. 

  66. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">+</span> <span class="number">1</span>).<span class="ident">sqrt</span>(), <span class="ident">x</span>);
    67. 

  67. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">-</span> <span class="number">1</span>).<span class="ident">sqrt</span>(), <span class="ident">x</span> <span class="op">-</span> <span class="number">1</span>);</pre>
    68. 

  68. </div><h3 id='method.cbrt' class='method'><span id='cbrt.v' class='invisible'><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></h3><div class='docblock'><p>Returns the truncated principal cube root of an integer --
    69. 

  69. <code>if x &gt;= 0 { ⌊∛x⌋ } else { ⌈∛x⌉ }</code></p>
    70. 

  70. <p>This is solving for <code>r</code> in <code>r³ = x</code>, rounding toward zero.
    71. 

  71. If <code>x</code> is positive, the result will satisfy <code>r³ ≤ x &lt; (r+1)³</code>.
    72. 

  72. If <code>x</code> is negative, then <code>(r-1)³ &lt; x ≤ r³</code>.</p>
    73. 

  73. <h1 id="examples-2" class="section-header"><a href="#examples-2">Examples</a></h1>
    74. 

  74. <pre class="rust rust-example-rendered">
    75. 

  75. <span class="kw">use</span> <span class="ident">num_integer</span>::<span class="ident">Roots</span>;
    76. 

  76. 

  77. <span class="kw">let</span> <span class="ident">x</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="number">1234</span>;
    78. 

  78. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span>).<span class="ident">cbrt</span>(), <span class="ident">x</span>);
    79. 

  79. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">+</span> <span class="number">1</span>).<span class="ident">cbrt</span>(), <span class="ident">x</span>);
    80. 

  80. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">-</span> <span class="number">1</span>).<span class="ident">cbrt</span>(), <span class="ident">x</span> <span class="op">-</span> <span class="number">1</span>);
    81. 

  81. 

  82. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span>(<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span>)).<span class="ident">cbrt</span>(), <span class="op">-</span><span class="ident">x</span>);
    83. 

  83. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span>(<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">+</span> <span class="number">1</span>)).<span class="ident">cbrt</span>(), <span class="op">-</span><span class="ident">x</span>);
    84. 

  84. <span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span>(<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">-</span> <span class="number">1</span>)).<span class="ident">cbrt</span>(), <span class="op">-</span>(<span class="ident">x</span> <span class="op">-</span> <span class="number">1</span>));</pre>
    85. 

  85. </div></div>
    86. 

  86.                 <h2 id='foreign-impls' class='small-section-header'>
    87. 

  87.                   Implementations on Foreign Types<a href='#foreign-impls' class='anchor'></a>
    88. 

  88.                 </h2>
    89. 

  89.             <h3 id='impl-Roots' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a></code><a href='#impl-Roots' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#136-161' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root' class="method"><span id='nth_root.v-1' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#138-145' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-1' class="method"><span id='sqrt.v-1' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#148-151' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-1' class="method"><span id='cbrt.v-1' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#154-160' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-1' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a></code><a href='#impl-Roots-1' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#136-161' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-1' class="method"><span id='nth_root.v-2' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#138-145' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-2' class="method"><span id='sqrt.v-2' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#148-151' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-2' class="method"><span id='cbrt.v-2' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#154-160' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-2' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a></code><a href='#impl-Roots-2' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#136-161' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-2' class="method"><span id='nth_root.v-3' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#138-145' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-3' class="method"><span id='sqrt.v-3' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#148-151' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-3' class="method"><span id='cbrt.v-3' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#154-160' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-3' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a></code><a href='#impl-Roots-3' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#136-161' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-3' class="method"><span id='nth_root.v-4' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#138-145' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-4' class="method"><span id='sqrt.v-4' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#148-151' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-4' class="method"><span id='cbrt.v-4' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#154-160' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-4' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a></code><a href='#impl-Roots-4' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#136-161' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-4' class="method"><span id='nth_root.v-5' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#138-145' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-5' class="method"><span id='sqrt.v-5' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#148-151' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-5' class="method"><span id='cbrt.v-5' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#154-160' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-5' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a></code><a href='#impl-Roots-5' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#136-161' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-5' class="method"><span id='nth_root.v-6' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#138-145' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-6' class="method"><span id='sqrt.v-6' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#148-151' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-6' class="method"><span id='cbrt.v-6' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#154-160' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-6' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></code><a href='#impl-Roots-6' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#204-370' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-6' class="method"><span id='nth_root.v-7' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#205-271' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-7' class="method"><span id='sqrt.v-7' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#273-309' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-7' class="method"><span id='cbrt.v-7' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#311-369' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-7' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a></code><a href='#impl-Roots-7' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#204-370' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-7' class="method"><span id='nth_root.v-8' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#205-271' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-8' class="method"><span id='sqrt.v-8' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#273-309' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-8' class="method"><span id='cbrt.v-8' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#311-369' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-8' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code><a href='#impl-Roots-8' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#204-370' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-8' class="method"><span id='nth_root.v-9' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#205-271' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-9' class="method"><span id='sqrt.v-9' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#273-309' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-9' class="method"><span id='cbrt.v-9' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#311-369' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-9' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a></code><a href='#impl-Roots-9' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#204-370' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-9' class="method"><span id='nth_root.v-10' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#205-271' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-10' class="method"><span id='sqrt.v-10' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#273-309' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-10' class="method"><span id='cbrt.v-10' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#311-369' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-10' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a></code><a href='#impl-Roots-10' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#204-370' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-10' class="method"><span id='nth_root.v-11' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#205-271' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-11' class="method"><span id='sqrt.v-11' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#273-309' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-11' class="method"><span id='cbrt.v-11' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#311-369' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span><h3 id='impl-Roots-11' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../num_integer/trait.Roots.html" title="trait num_integer::Roots">Roots</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code><a href='#impl-Roots-11' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#204-370' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.nth_root-11' class="method"><span id='nth_root.v-12' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.nth_root' class='fnname'>nth_root</a>(&amp;self, n: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#205-271' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.sqrt-12' class="method"><span id='sqrt.v-12' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.sqrt' class='fnname'>sqrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#273-309' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.cbrt-12' class="method"><span id='cbrt.v-12' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.cbrt' class='fnname'>cbrt</a>(&amp;self) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../src/num_integer/roots.rs.html#311-369' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span>
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