| <!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 `/root/.cargo/git/checkouts/rulinalg-309246e5a94bf5cf/1ed8b93/src/utils.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>utils.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" href="../../normalize.css"><link rel="stylesheet" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../ayu.css" disabled><link rel="stylesheet" href="../../dark.css" disabled><link rel="stylesheet" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script defer src="../../source-script.js"></script><script defer src="../../source-files.js"></script><script defer src="../../main.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../favicon.svg"></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"><a class="sidebar-logo" href="../../rulinalg/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../rulinalg/index.html"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></a><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" 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="../../wheel.svg"></a></div></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><span id="1">1</span> |
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| </pre><pre class="rust"><code><span class="doccomment">//! Linear algebra utils module. |
| //! |
| //! Contains support methods for linear algebra structs. |
| |
| </span><span class="kw">use </span>std::cmp; |
| <span class="kw">use </span>libnum::Zero; |
| <span class="kw">use </span>std::ops::{Add, Mul, Sub, Div}; |
| |
| <span class="doccomment">/// Compute dot product of two slices. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// let a = vec![1.0, 2.0, 3.0, 4.0]; |
| /// let b = vec![1.0, 2.0, 3.0, 4.0]; |
| /// |
| /// let c = utils::dot(&a,&b); |
| /// ``` |
| </span><span class="kw">pub fn </span>dot<T: Copy + Zero + Add<T, Output = T> + Mul<T, Output = T>>(u: <span class="kw-2">&</span>[T], v: <span class="kw-2">&</span>[T]) -> T { |
| <span class="kw">let </span>len = cmp::min(u.len(), v.len()); |
| <span class="kw">let </span><span class="kw-2">mut </span>xs = <span class="kw-2">&</span>u[..len]; |
| <span class="kw">let </span><span class="kw-2">mut </span>ys = <span class="kw-2">&</span>v[..len]; |
| |
| <span class="kw">let </span><span class="kw-2">mut </span>s = T::zero(); |
| <span class="kw">let </span>(<span class="kw-2">mut </span>p0, <span class="kw-2">mut </span>p1, <span class="kw-2">mut </span>p2, <span class="kw-2">mut </span>p3, <span class="kw-2">mut </span>p4, <span class="kw-2">mut </span>p5, <span class="kw-2">mut </span>p6, <span class="kw-2">mut </span>p7) = |
| (T::zero(), T::zero(), T::zero(), T::zero(), T::zero(), T::zero(), T::zero(), T::zero()); |
| |
| <span class="kw">while </span>xs.len() >= <span class="number">8 </span>{ |
| p0 = p0 + xs[<span class="number">0</span>] * ys[<span class="number">0</span>]; |
| p1 = p1 + xs[<span class="number">1</span>] * ys[<span class="number">1</span>]; |
| p2 = p2 + xs[<span class="number">2</span>] * ys[<span class="number">2</span>]; |
| p3 = p3 + xs[<span class="number">3</span>] * ys[<span class="number">3</span>]; |
| p4 = p4 + xs[<span class="number">4</span>] * ys[<span class="number">4</span>]; |
| p5 = p5 + xs[<span class="number">5</span>] * ys[<span class="number">5</span>]; |
| p6 = p6 + xs[<span class="number">6</span>] * ys[<span class="number">6</span>]; |
| p7 = p7 + xs[<span class="number">7</span>] * ys[<span class="number">7</span>]; |
| |
| xs = <span class="kw-2">&</span>xs[<span class="number">8</span>..]; |
| ys = <span class="kw-2">&</span>ys[<span class="number">8</span>..]; |
| } |
| s = s + p0 + p4; |
| s = s + p1 + p5; |
| s = s + p2 + p6; |
| s = s + p3 + p7; |
| |
| <span class="kw">for </span>i <span class="kw">in </span><span class="number">0</span>..xs.len() { |
| s = s + xs[i] * ys[i]; |
| } |
| s |
| } |
| |
| <span class="doccomment">/// Unrolled sum |
| /// |
| /// Computes the sum over the slice consuming it in the process. |
| /// |
| /// Given graciously by bluss from ndarray! |
| </span><span class="kw">pub fn </span>unrolled_sum<T>(<span class="kw-2">mut </span>xs: <span class="kw-2">&</span>[T]) -> T |
| <span class="kw">where </span>T: Clone + Add<Output = T> + Zero |
| { |
| <span class="comment">// eightfold unrolled so that floating point can be vectorized |
| // (even with strict floating point accuracy semantics) |
| </span><span class="kw">let </span><span class="kw-2">mut </span>sum = T::zero(); |
| <span class="kw">let </span>(<span class="kw-2">mut </span>p0, <span class="kw-2">mut </span>p1, <span class="kw-2">mut </span>p2, <span class="kw-2">mut </span>p3, <span class="kw-2">mut </span>p4, <span class="kw-2">mut </span>p5, <span class="kw-2">mut </span>p6, <span class="kw-2">mut </span>p7) = |
| (T::zero(), T::zero(), T::zero(), T::zero(), T::zero(), T::zero(), T::zero(), T::zero()); |
| <span class="kw">while </span>xs.len() >= <span class="number">8 </span>{ |
| p0 = p0 + xs[<span class="number">0</span>].clone(); |
| p1 = p1 + xs[<span class="number">1</span>].clone(); |
| p2 = p2 + xs[<span class="number">2</span>].clone(); |
| p3 = p3 + xs[<span class="number">3</span>].clone(); |
| p4 = p4 + xs[<span class="number">4</span>].clone(); |
| p5 = p5 + xs[<span class="number">5</span>].clone(); |
| p6 = p6 + xs[<span class="number">6</span>].clone(); |
| p7 = p7 + xs[<span class="number">7</span>].clone(); |
| |
| xs = <span class="kw-2">&</span>xs[<span class="number">8</span>..]; |
| } |
| sum = sum.clone() + (p0 + p4); |
| sum = sum.clone() + (p1 + p5); |
| sum = sum.clone() + (p2 + p6); |
| sum = sum.clone() + (p3 + p7); |
| <span class="kw">for </span>elt <span class="kw">in </span>xs { |
| sum = sum.clone() + elt.clone(); |
| } |
| sum |
| } |
| |
| <span class="doccomment">/// Vectorized binary operation applied to two slices. |
| /// The first argument should be a mutable slice which will |
| /// be modified in place to prevent new memory allocation. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// |
| /// let mut a = vec![2.0; 10]; |
| /// let b = vec![3.0; 10]; |
| /// |
| /// utils::in_place_vec_bin_op(&mut a, &b, |x, &y| { *x = 1f64 + *x * y }); |
| /// |
| /// // Will print a vector of `7`s. |
| /// println!("{:?}", a); |
| /// ``` |
| </span><span class="kw">pub fn </span>in_place_vec_bin_op<F, T>(<span class="kw-2">mut </span>u: <span class="kw-2">&mut </span>[T], v: <span class="kw-2">&</span>[T], <span class="kw-2">mut </span>f: F) |
| <span class="kw">where </span>F: FnMut(<span class="kw-2">&mut </span>T, <span class="kw-2">&</span>T), |
| T: Copy |
| { |
| <span class="macro">debug_assert_eq!</span>(u.len(), v.len()); |
| <span class="kw">let </span>len = cmp::min(u.len(), v.len()); |
| |
| <span class="kw">let </span>ys = <span class="kw-2">&</span>v[..len]; |
| <span class="kw">let </span>xs = <span class="kw-2">&mut </span>u[..len]; |
| |
| <span class="kw">for </span>i <span class="kw">in </span><span class="number">0</span>..len { |
| f(<span class="kw-2">&mut </span>xs[i], <span class="kw-2">&</span>ys[i]) |
| } |
| } |
| |
| <span class="doccomment">/// Vectorized binary operation applied to two slices. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// |
| /// let mut a = vec![2.0; 10]; |
| /// let b = vec![3.0; 10]; |
| /// |
| /// let c = utils::vec_bin_op(&a, &b, |x, y| { 1f64 + x * y }); |
| /// |
| /// // Will print a vector of `7`s. |
| /// println!("{:?}", a); |
| /// ``` |
| </span><span class="kw">pub fn </span>vec_bin_op<F, T>(u: <span class="kw-2">&</span>[T], v: <span class="kw-2">&</span>[T], f: F) -> Vec<T> |
| <span class="kw">where </span>F: Fn(T, T) -> T, |
| T: Copy |
| { |
| <span class="macro">debug_assert_eq!</span>(u.len(), v.len()); |
| <span class="kw">let </span>len = cmp::min(u.len(), v.len()); |
| |
| <span class="kw">let </span>xs = <span class="kw-2">&</span>u[..len]; |
| <span class="kw">let </span>ys = <span class="kw-2">&</span>v[..len]; |
| |
| <span class="kw">let </span><span class="kw-2">mut </span>out_vec = Vec::with_capacity(len); |
| <span class="kw">unsafe </span>{ |
| out_vec.set_len(len); |
| } |
| |
| { |
| <span class="kw">let </span>out_slice = <span class="kw-2">&mut </span>out_vec[..len]; |
| |
| <span class="kw">for </span>i <span class="kw">in </span><span class="number">0</span>..len { |
| out_slice[i] = f(xs[i], ys[i]); |
| } |
| } |
| |
| out_vec |
| } |
| |
| <span class="doccomment">/// Compute vector sum of two slices. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// let a = vec![1.0, 2.0, 3.0, 4.0]; |
| /// let b = vec![1.0, 2.0, 3.0, 4.0]; |
| /// |
| /// let c = utils::vec_sum(&a,&b); |
| /// |
| /// assert_eq!(c, vec![2.0, 4.0, 6.0, 8.0]); |
| /// ``` |
| </span><span class="kw">pub fn </span>vec_sum<T: Copy + Add<T, Output = T>>(u: <span class="kw-2">&</span>[T], v: <span class="kw-2">&</span>[T]) -> Vec<T> { |
| vec_bin_op(u, v, |x, y| x + y) |
| } |
| |
| |
| <span class="doccomment">/// Compute vector difference two slices. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// let a = vec![1.0, 2.0, 3.0, 4.0]; |
| /// let b = vec![1.0, 2.0, 3.0, 4.0]; |
| /// |
| /// let c = utils::vec_sub(&a,&b); |
| /// |
| /// assert_eq!(c, vec![0.0; 4]); |
| /// ``` |
| </span><span class="kw">pub fn </span>vec_sub<T: Copy + Sub<T, Output = T>>(u: <span class="kw-2">&</span>[T], v: <span class="kw-2">&</span>[T]) -> Vec<T> { |
| vec_bin_op(u, v, |x, y| x - y) |
| } |
| |
| <span class="doccomment">/// Computes elementwise multiplication. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// let a = vec![1.0, 2.0, 3.0, 4.0]; |
| /// let b = vec![1.0, 2.0, 3.0, 4.0]; |
| /// |
| /// let c = utils::ele_mul(&a,&b); |
| /// |
| /// assert_eq!(c, vec![1.0, 4.0, 9.0, 16.0]); |
| /// ``` |
| </span><span class="kw">pub fn </span>ele_mul<T: Copy + Mul<T, Output = T>>(u: <span class="kw-2">&</span>[T], v: <span class="kw-2">&</span>[T]) -> Vec<T> { |
| vec_bin_op(u, v, |x, y| x * y) |
| } |
| |
| <span class="doccomment">/// Computes elementwise division. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// let a = vec![1.0, 2.0, 3.0, 4.0]; |
| /// let b = vec![1.0, 2.0, 3.0, 4.0]; |
| /// |
| /// let c = utils::ele_div(&a,&b); |
| /// |
| /// assert_eq!(c, vec![1.0; 4]); |
| /// ``` |
| </span><span class="kw">pub fn </span>ele_div<T: Copy + Div<T, Output = T>>(u: <span class="kw-2">&</span>[T], v: <span class="kw-2">&</span>[T]) -> Vec<T> { |
| vec_bin_op(u, v, |x, y| x / y) |
| } |
| |
| |
| <span class="doccomment">/// Find argmax of slice. |
| /// |
| /// Returns index of first occuring maximum. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// let a = vec![1.0, 2.0, 3.0, 4.0]; |
| /// |
| /// let c = utils::argmax(&a); |
| /// assert_eq!(c.0, 3); |
| /// assert_eq!(c.1, 4.0); |
| /// ``` |
| </span><span class="kw">pub fn </span>argmax<T>(u: <span class="kw-2">&</span>[T]) -> (usize, T) |
| <span class="kw">where </span>T: Copy + PartialOrd |
| { |
| <span class="macro">assert!</span>(u.len() != <span class="number">0</span>); |
| |
| <span class="kw">let </span><span class="kw-2">mut </span>max_index = <span class="number">0</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>max = u[max_index]; |
| |
| <span class="kw">for </span>(i, v) <span class="kw">in </span>u.iter().enumerate().skip(<span class="number">1</span>) { |
| <span class="kw">if </span>max < <span class="kw-2">*</span>v { |
| max_index = i; |
| max = <span class="kw-2">*</span>v; |
| } |
| } |
| |
| (max_index, max) |
| } |
| |
| <span class="doccomment">/// Find argmin of slice. |
| /// |
| /// Returns index of first occuring minimum. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// let a = vec![5.0, 2.0, 3.0, 4.0]; |
| /// |
| /// let c = utils::argmin(&a); |
| /// assert_eq!(c.0, 1); |
| /// assert_eq!(c.1, 2.0); |
| /// ``` |
| </span><span class="kw">pub fn </span>argmin<T>(u: <span class="kw-2">&</span>[T]) -> (usize, T) |
| <span class="kw">where </span>T: Copy + PartialOrd |
| { |
| <span class="macro">assert!</span>(u.len() != <span class="number">0</span>); |
| |
| <span class="kw">let </span><span class="kw-2">mut </span>min_index = <span class="number">0</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>min = u[min_index]; |
| |
| <span class="kw">for </span>(i, v) <span class="kw">in </span>u.iter().enumerate().skip(<span class="number">1</span>) { |
| <span class="kw">if </span>min > <span class="kw-2">*</span>v { |
| min_index = i; |
| min = <span class="kw-2">*</span>v; |
| } |
| } |
| |
| (min_index, min) |
| } |
| |
| <span class="doccomment">/// Find index of value in slice. |
| /// |
| /// Returns index of first occuring value. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use rulinalg::utils; |
| /// let a = vec![1.0, 2.0, 3.0, 4.0]; |
| /// |
| /// let c = utils::find(&a, 3.0); |
| /// assert_eq!(c, 2); |
| /// ``` |
| </span><span class="kw">pub fn </span>find<T>(p: <span class="kw-2">&</span>[T], u: T) -> usize |
| <span class="kw">where </span>T: PartialOrd |
| { |
| <span class="kw">for </span>(i, v) <span class="kw">in </span>p.iter().enumerate() { |
| <span class="kw">if </span><span class="kw-2">*</span>v == u { |
| <span class="kw">return </span>i; |
| } |
| } |
| |
| <span class="macro">panic!</span>(<span class="string">"Value not found."</span>) |
| } |
| </code></pre></div> |
| </section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="rulinalg" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html> |
