multibody_dynamics 0.4.0

Multibody dynamics algorithms in Rust
Documentation
<!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="Source of the Rust file `/Users/erlendbasso/.cargo/registry/src/github.com-1ecc6299db9ec823/nalgebra-0.32.1/src/linalg/permutation_sequence.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>permutation_sequence.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-1f7d512b176f0f72.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-124a1ca42af929b6.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-6827029ac823cab7.css" id="mainThemeStyle"><link rel="stylesheet" id="themeStyle" href="../../../static.files/light-ebce58d0a40c3431.css"><link rel="stylesheet" disabled href="../../../static.files/dark-f23faae4a2daf9a6.css"><link rel="stylesheet" disabled href="../../../static.files/ayu-8af5e100b21cd173.css"><script id="default-settings" ></script><script src="../../../static.files/storage-d43fa987303ecbbb.js"></script><script defer src="../../../static.files/source-script-5cf2e01a42cc9858.js"></script><script defer src="../../../source-files.js"></script><script defer src="../../../static.files/main-c55e1eb52e1886b4.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="icon" href="https://nalgebra.org/img/favicon.ico"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../../nalgebra/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-5ec35bf9ca753509.svg"></a></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><a href="#1" id="1">1</a>
<a href="#2" id="2">2</a>
<a href="#3" id="3">3</a>
<a href="#4" id="4">4</a>
<a href="#5" id="5">5</a>
<a href="#6" id="6">6</a>
<a href="#7" id="7">7</a>
<a href="#8" id="8">8</a>
<a href="#9" id="9">9</a>
<a href="#10" id="10">10</a>
<a href="#11" id="11">11</a>
<a href="#12" id="12">12</a>
<a href="#13" id="13">13</a>
<a href="#14" id="14">14</a>
<a href="#15" id="15">15</a>
<a href="#16" id="16">16</a>
<a href="#17" id="17">17</a>
<a href="#18" id="18">18</a>
<a href="#19" id="19">19</a>
<a href="#20" id="20">20</a>
<a href="#21" id="21">21</a>
<a href="#22" id="22">22</a>
<a href="#23" id="23">23</a>
<a href="#24" id="24">24</a>
<a href="#25" id="25">25</a>
<a href="#26" id="26">26</a>
<a href="#27" id="27">27</a>
<a href="#28" id="28">28</a>
<a href="#29" id="29">29</a>
<a href="#30" id="30">30</a>
<a href="#31" id="31">31</a>
<a href="#32" id="32">32</a>
<a href="#33" id="33">33</a>
<a href="#34" id="34">34</a>
<a href="#35" id="35">35</a>
<a href="#36" id="36">36</a>
<a href="#37" id="37">37</a>
<a href="#38" id="38">38</a>
<a href="#39" id="39">39</a>
<a href="#40" id="40">40</a>
<a href="#41" id="41">41</a>
<a href="#42" id="42">42</a>
<a href="#43" id="43">43</a>
<a href="#44" id="44">44</a>
<a href="#45" id="45">45</a>
<a href="#46" id="46">46</a>
<a href="#47" id="47">47</a>
<a href="#48" id="48">48</a>
<a href="#49" id="49">49</a>
<a href="#50" id="50">50</a>
<a href="#51" id="51">51</a>
<a href="#52" id="52">52</a>
<a href="#53" id="53">53</a>
<a href="#54" id="54">54</a>
<a href="#55" id="55">55</a>
<a href="#56" id="56">56</a>
<a href="#57" id="57">57</a>
<a href="#58" id="58">58</a>
<a href="#59" id="59">59</a>
<a href="#60" id="60">60</a>
<a href="#61" id="61">61</a>
<a href="#62" id="62">62</a>
<a href="#63" id="63">63</a>
<a href="#64" id="64">64</a>
<a href="#65" id="65">65</a>
<a href="#66" id="66">66</a>
<a href="#67" id="67">67</a>
<a href="#68" id="68">68</a>
<a href="#69" id="69">69</a>
<a href="#70" id="70">70</a>
<a href="#71" id="71">71</a>
<a href="#72" id="72">72</a>
<a href="#73" id="73">73</a>
<a href="#74" id="74">74</a>
<a href="#75" id="75">75</a>
<a href="#76" id="76">76</a>
<a href="#77" id="77">77</a>
<a href="#78" id="78">78</a>
<a href="#79" id="79">79</a>
<a href="#80" id="80">80</a>
<a href="#81" id="81">81</a>
<a href="#82" id="82">82</a>
<a href="#83" id="83">83</a>
<a href="#84" id="84">84</a>
<a href="#85" id="85">85</a>
<a href="#86" id="86">86</a>
<a href="#87" id="87">87</a>
<a href="#88" id="88">88</a>
<a href="#89" id="89">89</a>
<a href="#90" id="90">90</a>
<a href="#91" id="91">91</a>
<a href="#92" id="92">92</a>
<a href="#93" id="93">93</a>
<a href="#94" id="94">94</a>
<a href="#95" id="95">95</a>
<a href="#96" id="96">96</a>
<a href="#97" id="97">97</a>
<a href="#98" id="98">98</a>
<a href="#99" id="99">99</a>
<a href="#100" id="100">100</a>
<a href="#101" id="101">101</a>
<a href="#102" id="102">102</a>
<a href="#103" id="103">103</a>
<a href="#104" id="104">104</a>
<a href="#105" id="105">105</a>
<a href="#106" id="106">106</a>
<a href="#107" id="107">107</a>
<a href="#108" id="108">108</a>
<a href="#109" id="109">109</a>
<a href="#110" id="110">110</a>
<a href="#111" id="111">111</a>
<a href="#112" id="112">112</a>
<a href="#113" id="113">113</a>
<a href="#114" id="114">114</a>
<a href="#115" id="115">115</a>
<a href="#116" id="116">116</a>
<a href="#117" id="117">117</a>
<a href="#118" id="118">118</a>
<a href="#119" id="119">119</a>
<a href="#120" id="120">120</a>
<a href="#121" id="121">121</a>
<a href="#122" id="122">122</a>
<a href="#123" id="123">123</a>
<a href="#124" id="124">124</a>
<a href="#125" id="125">125</a>
<a href="#126" id="126">126</a>
<a href="#127" id="127">127</a>
<a href="#128" id="128">128</a>
<a href="#129" id="129">129</a>
<a href="#130" id="130">130</a>
<a href="#131" id="131">131</a>
<a href="#132" id="132">132</a>
<a href="#133" id="133">133</a>
<a href="#134" id="134">134</a>
<a href="#135" id="135">135</a>
<a href="#136" id="136">136</a>
<a href="#137" id="137">137</a>
<a href="#138" id="138">138</a>
<a href="#139" id="139">139</a>
<a href="#140" id="140">140</a>
<a href="#141" id="141">141</a>
<a href="#142" id="142">142</a>
<a href="#143" id="143">143</a>
<a href="#144" id="144">144</a>
<a href="#145" id="145">145</a>
<a href="#146" id="146">146</a>
<a href="#147" id="147">147</a>
<a href="#148" id="148">148</a>
<a href="#149" id="149">149</a>
<a href="#150" id="150">150</a>
<a href="#151" id="151">151</a>
<a href="#152" id="152">152</a>
<a href="#153" id="153">153</a>
<a href="#154" id="154">154</a>
<a href="#155" id="155">155</a>
<a href="#156" id="156">156</a>
<a href="#157" id="157">157</a>
<a href="#158" id="158">158</a>
<a href="#159" id="159">159</a>
<a href="#160" id="160">160</a>
<a href="#161" id="161">161</a>
<a href="#162" id="162">162</a>
<a href="#163" id="163">163</a>
<a href="#164" id="164">164</a>
</pre><pre class="rust"><code><span class="attr">#[cfg(feature = <span class="string">&quot;serde-serialize-no-std&quot;</span>)]
</span><span class="kw">use </span>serde::{Deserialize, Serialize};

<span class="kw">use </span>num::One;
<span class="kw">use </span>simba::scalar::ClosedNeg;

<span class="kw">use </span><span class="kw">crate</span>::allocator::Allocator;
<span class="kw">use </span><span class="kw">crate</span>::base::{DefaultAllocator, Matrix, OVector, Scalar};
<span class="attr">#[cfg(any(feature = <span class="string">&quot;std&quot;</span>, feature = <span class="string">&quot;alloc&quot;</span>))]
</span><span class="kw">use </span><span class="kw">crate</span>::dimension::Dyn;
<span class="kw">use </span><span class="kw">crate</span>::dimension::{Const, Dim, DimName};
<span class="kw">use </span><span class="kw">crate</span>::storage::StorageMut;

<span class="doccomment">/// A sequence of row or column permutations.
</span><span class="attr">#[cfg_attr(feature = <span class="string">&quot;serde-serialize-no-std&quot;</span>, derive(Serialize, Deserialize))]
#[cfg_attr(
    feature = <span class="string">&quot;serde-serialize-no-std&quot;</span>,
    serde(bound(serialize = <span class="string">&quot;DefaultAllocator: Allocator&lt;(usize, usize), D&gt;,
         OVector&lt;(usize, usize), D&gt;: Serialize&quot;</span>))
)]
#[cfg_attr(
    feature = <span class="string">&quot;serde-serialize-no-std&quot;</span>,
    serde(bound(deserialize = <span class="string">&quot;DefaultAllocator: Allocator&lt;(usize, usize), D&gt;,
         OVector&lt;(usize, usize), D&gt;: Deserialize&lt;&#39;de&gt;&quot;</span>))
)]
#[derive(Clone, Debug)]
</span><span class="kw">pub struct </span>PermutationSequence&lt;D: Dim&gt;
<span class="kw">where
    </span>DefaultAllocator: Allocator&lt;(usize, usize), D&gt;,
{
    len: usize,
    ipiv: OVector&lt;(usize, usize), D&gt;,
}

<span class="kw">impl</span>&lt;D: Dim&gt; Copy <span class="kw">for </span>PermutationSequence&lt;D&gt;
<span class="kw">where
    </span>DefaultAllocator: Allocator&lt;(usize, usize), D&gt;,
    OVector&lt;(usize, usize), D&gt;: Copy,
{
}

<span class="kw">impl</span>&lt;D: DimName&gt; PermutationSequence&lt;D&gt;
<span class="kw">where
    </span>DefaultAllocator: Allocator&lt;(usize, usize), D&gt;,
{
    <span class="doccomment">/// Creates a new statically-allocated sequence of `D` identity permutations.
    </span><span class="attr">#[inline]
    </span><span class="kw">pub fn </span>identity() -&gt; <span class="self">Self </span>{
        <span class="self">Self</span>::identity_generic(D::name())
    }
}

<span class="attr">#[cfg(any(feature = <span class="string">&quot;std&quot;</span>, feature = <span class="string">&quot;alloc&quot;</span>))]
</span><span class="kw">impl </span>PermutationSequence&lt;Dyn&gt;
<span class="kw">where
    </span>DefaultAllocator: Allocator&lt;(usize, usize), Dyn&gt;,
{
    <span class="doccomment">/// Creates a new dynamically-allocated sequence of `n` identity permutations.
    </span><span class="attr">#[inline]
    </span><span class="kw">pub fn </span>identity(n: usize) -&gt; <span class="self">Self </span>{
        <span class="self">Self</span>::identity_generic(Dyn(n))
    }
}

<span class="kw">impl</span>&lt;D: Dim&gt; PermutationSequence&lt;D&gt;
<span class="kw">where
    </span>DefaultAllocator: Allocator&lt;(usize, usize), D&gt;,
{
    <span class="doccomment">/// Creates a new sequence of D identity permutations.
    </span><span class="attr">#[inline]
    </span><span class="kw">pub fn </span>identity_generic(dim: D) -&gt; <span class="self">Self </span>{
        <span class="self">Self </span>{
            len: <span class="number">0</span>,
            <span class="comment">// TODO: using a uninitialized matrix would save some computation, but
            //       that loos difficult to setup with MaybeUninit.
            </span>ipiv: Matrix::repeat_generic(dim, Const::&lt;<span class="number">1</span>&gt;, (<span class="number">0</span>, <span class="number">0</span>)),
        }
    }

    <span class="doccomment">/// Adds the interchange of the row (or column) `i` with the row (or column) `i2` to this
    /// sequence of permutations.
    </span><span class="attr">#[inline]
    </span><span class="kw">pub fn </span>append_permutation(<span class="kw-2">&amp;mut </span><span class="self">self</span>, i: usize, i2: usize) {
        <span class="kw">if </span>i != i2 {
            <span class="macro">assert!</span>(
                <span class="self">self</span>.len &lt; <span class="self">self</span>.ipiv.len(),
                <span class="string">&quot;Maximum number of permutations exceeded.&quot;
            </span>);
            <span class="self">self</span>.ipiv[<span class="self">self</span>.len] = (i, i2);
            <span class="self">self</span>.len += <span class="number">1</span>;
        }
    }

    <span class="doccomment">/// Applies this sequence of permutations to the rows of `rhs`.
    </span><span class="attr">#[inline]
    </span><span class="kw">pub fn </span>permute_rows&lt;T: Scalar, R2: Dim, C2: Dim, S2&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rhs: <span class="kw-2">&amp;mut </span>Matrix&lt;T, R2, C2, S2&gt;)
    <span class="kw">where
        </span>S2: StorageMut&lt;T, R2, C2&gt;,
    {
        <span class="kw">for </span>i <span class="kw">in </span><span class="self">self</span>.ipiv.rows_range(..<span class="self">self</span>.len).iter() {
            rhs.swap_rows(i.<span class="number">0</span>, i.<span class="number">1</span>)
        }
    }

    <span class="doccomment">/// Applies this sequence of permutations in reverse to the rows of `rhs`.
    </span><span class="attr">#[inline]
    </span><span class="kw">pub fn </span>inv_permute_rows&lt;T: Scalar, R2: Dim, C2: Dim, S2&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rhs: <span class="kw-2">&amp;mut </span>Matrix&lt;T, R2, C2, S2&gt;)
    <span class="kw">where
        </span>S2: StorageMut&lt;T, R2, C2&gt;,
    {
        <span class="kw">for </span>i <span class="kw">in </span><span class="number">0</span>..<span class="self">self</span>.len {
            <span class="kw">let </span>(i1, i2) = <span class="self">self</span>.ipiv[<span class="self">self</span>.len - i - <span class="number">1</span>];
            rhs.swap_rows(i1, i2)
        }
    }

    <span class="doccomment">/// Applies this sequence of permutations to the columns of `rhs`.
    </span><span class="attr">#[inline]
    </span><span class="kw">pub fn </span>permute_columns&lt;T: Scalar, R2: Dim, C2: Dim, S2&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rhs: <span class="kw-2">&amp;mut </span>Matrix&lt;T, R2, C2, S2&gt;)
    <span class="kw">where
        </span>S2: StorageMut&lt;T, R2, C2&gt;,
    {
        <span class="kw">for </span>i <span class="kw">in </span><span class="self">self</span>.ipiv.rows_range(..<span class="self">self</span>.len).iter() {
            rhs.swap_columns(i.<span class="number">0</span>, i.<span class="number">1</span>)
        }
    }

    <span class="doccomment">/// Applies this sequence of permutations in reverse to the columns of `rhs`.
    </span><span class="attr">#[inline]
    </span><span class="kw">pub fn </span>inv_permute_columns&lt;T: Scalar, R2: Dim, C2: Dim, S2&gt;(
        <span class="kw-2">&amp;</span><span class="self">self</span>,
        rhs: <span class="kw-2">&amp;mut </span>Matrix&lt;T, R2, C2, S2&gt;,
    ) <span class="kw">where
        </span>S2: StorageMut&lt;T, R2, C2&gt;,
    {
        <span class="kw">for </span>i <span class="kw">in </span><span class="number">0</span>..<span class="self">self</span>.len {
            <span class="kw">let </span>(i1, i2) = <span class="self">self</span>.ipiv[<span class="self">self</span>.len - i - <span class="number">1</span>];
            rhs.swap_columns(i1, i2)
        }
    }

    <span class="doccomment">/// The number of non-identity permutations applied by this sequence.
    </span><span class="attr">#[must_use]
    </span><span class="kw">pub fn </span>len(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; usize {
        <span class="self">self</span>.len
    }

    <span class="doccomment">/// Returns true if the permutation sequence contains no elements.
    </span><span class="attr">#[must_use]
    </span><span class="kw">pub fn </span>is_empty(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
        <span class="self">self</span>.len() == <span class="number">0
    </span>}

    <span class="doccomment">/// The determinant of the matrix corresponding to this permutation.
    </span><span class="attr">#[inline]
    #[must_use]
    </span><span class="kw">pub fn </span>determinant&lt;T: One + ClosedNeg&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; T {
        <span class="kw">if </span><span class="self">self</span>.len % <span class="number">2 </span>== <span class="number">0 </span>{
            T::one()
        } <span class="kw">else </span>{
            -T::one()
        }
    }
}
</code></pre></div>
</section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="nalgebra" data-themes="" data-resource-suffix="" data-rustdoc-version="1.67.1 (d5a82bbd2 2023-02-07)" data-search-js="search-444266647c4dba98.js" data-settings-js="settings-bebeae96e00e4617.js" data-settings-css="settings-af96d9e2fc13e081.css" ></div></body></html>