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<!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/matrix/impl_permutation_mul.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>impl_permutation_mul.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="kw">use </span>matrix::{PermutationMatrix, Matrix,
MatrixSlice, MatrixSliceMut,
BaseMatrix};
<span class="kw">use </span>vector::Vector;
<span class="kw">use </span>libnum::Zero;
<span class="kw">use </span>std::ops::Mul;
<span class="doccomment">/// Left-multiply a vector by a permutation matrix.
</span><span class="kw">impl</span>&lt;T&gt; Mul&lt;Vector&lt;T&gt;&gt; <span class="kw">for </span>PermutationMatrix&lt;T&gt; {
<span class="kw">type </span>Output = Vector&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, <span class="kw-2">mut </span>rhs: Vector&lt;T&gt;) -&gt; Vector&lt;T&gt; {
<span class="self">self</span>.permute_vector_in_place(<span class="kw-2">&amp;mut </span>rhs);
rhs
}
}
<span class="doccomment">/// Left-multiply a vector by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, T&gt; Mul&lt;Vector&lt;T&gt;&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>PermutationMatrix&lt;T&gt; <span class="kw">where </span>T: Clone + Zero {
<span class="kw">type </span>Output = Vector&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: Vector&lt;T&gt;) -&gt; Vector&lt;T&gt; {
<span class="comment">// Here we have the choice of using `permute_by_copy`
// `permute_by_swap`, as we can reuse one of the existing
// implementations.
</span><span class="self">self </span>* <span class="kw-2">&amp;</span>rhs
}
}
<span class="doccomment">/// Left-multiply a vector by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, T&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>Vector&lt;T&gt;&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>PermutationMatrix&lt;T&gt; <span class="kw">where </span>T: Clone + Zero {
<span class="kw">type </span>Output = Vector&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>Vector&lt;T&gt;) -&gt; Vector&lt;T&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>target_vec = Vector::zeros(rhs.size());
<span class="self">self</span>.permute_vector_into_buffer(rhs, <span class="kw-2">&amp;mut </span>target_vec);
target_vec
}
}
<span class="doccomment">/// Left-multiply a vector by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, T&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>Vector&lt;T&gt;&gt; <span class="kw">for </span>PermutationMatrix&lt;T&gt; <span class="kw">where </span>T: Clone + Zero {
<span class="kw">type </span>Output = Vector&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>Vector&lt;T&gt;) -&gt; Vector&lt;T&gt; {
<span class="kw-2">&amp;</span><span class="self">self </span>* rhs
}
}
<span class="doccomment">/// Left-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;T&gt; Mul&lt;Matrix&lt;T&gt;&gt; <span class="kw">for </span>PermutationMatrix&lt;T&gt; {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, <span class="kw-2">mut </span>rhs: Matrix&lt;T&gt;) -&gt; Matrix&lt;T&gt; {
<span class="self">self</span>.permute_rows_in_place(<span class="kw-2">&amp;mut </span>rhs);
rhs
}
}
<span class="doccomment">/// Left-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;b</span>, T&gt; Mul&lt;Matrix&lt;T&gt;&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>PermutationMatrix&lt;T&gt; <span class="kw">where </span>T: Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, <span class="kw-2">mut </span>rhs: Matrix&lt;T&gt;) -&gt; Matrix&lt;T&gt; {
<span class="self">self</span>.clone().permute_rows_in_place(<span class="kw-2">&amp;mut </span>rhs);
rhs
}
}
<span class="macro">macro_rules! </span>impl_permutation_matrix_left_multiply_reference_type {
(<span class="macro-nonterminal">$MatrixType</span>:ty) =&gt; (
<span class="doccomment">/// Left-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;m</span>, T&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span><span class="macro-nonterminal">$MatrixType</span>&gt; <span class="kw">for </span>PermutationMatrix&lt;T&gt; <span class="kw">where </span>T: Zero + Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span><span class="macro-nonterminal">$MatrixType</span>) -&gt; Matrix&lt;T&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>output = Matrix::zeros(rhs.rows(), rhs.cols());
<span class="self">self</span>.permute_rows_into_buffer(rhs, <span class="kw-2">&amp;mut </span>output);
output
}
}
<span class="doccomment">/// Left-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="lifetime">&#39;m</span>, T&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span><span class="macro-nonterminal">$MatrixType</span>&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>PermutationMatrix&lt;T&gt; <span class="kw">where </span>T: Zero + Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span><span class="macro-nonterminal">$MatrixType</span>) -&gt; Matrix&lt;T&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>output = Matrix::zeros(rhs.rows(), rhs.cols());
<span class="self">self</span>.permute_rows_into_buffer(rhs, <span class="kw-2">&amp;mut </span>output);
output
}
}
)
}
<span class="macro">macro_rules! </span>impl_permutation_matrix_slice_left_multiply_value_type {
(<span class="macro-nonterminal">$MatrixType</span>:ty) =&gt; (
<span class="doccomment">/// Left-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;m</span>, T&gt; Mul&lt;<span class="macro-nonterminal">$MatrixType</span>&gt; <span class="kw">for </span>PermutationMatrix&lt;T&gt; <span class="kw">where </span>T: Zero + Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="macro-nonterminal">$MatrixType</span>) -&gt; Matrix&lt;T&gt; {
<span class="self">self </span>* <span class="kw-2">&amp;</span>rhs
}
}
<span class="doccomment">/// Left-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="lifetime">&#39;m</span>, T&gt; Mul&lt;<span class="macro-nonterminal">$MatrixType</span>&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>PermutationMatrix&lt;T&gt; <span class="kw">where </span>T: Zero + Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="macro-nonterminal">$MatrixType</span>) -&gt; Matrix&lt;T&gt; {
<span class="self">self </span>* <span class="kw-2">&amp;</span>rhs
}
}
)
}
<span class="macro">impl_permutation_matrix_left_multiply_reference_type!</span>(Matrix&lt;T&gt;);
<span class="macro">impl_permutation_matrix_left_multiply_reference_type!</span>(MatrixSlice&lt;<span class="lifetime">&#39;m</span>, T&gt;);
<span class="macro">impl_permutation_matrix_left_multiply_reference_type!</span>(MatrixSliceMut&lt;<span class="lifetime">&#39;m</span>, T&gt;);
<span class="macro">impl_permutation_matrix_slice_left_multiply_value_type!</span>(MatrixSlice&lt;<span class="lifetime">&#39;m</span>, T&gt;);
<span class="macro">impl_permutation_matrix_slice_left_multiply_value_type!</span>(MatrixSliceMut&lt;<span class="lifetime">&#39;m</span>, T&gt;);
<span class="doccomment">/// Right-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;T&gt; Mul&lt;PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span>Matrix&lt;T&gt; {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="kw-2">mut </span><span class="self">self</span>, rhs: PermutationMatrix&lt;T&gt;) -&gt; Matrix&lt;T&gt; {
rhs.permute_cols_in_place(<span class="kw-2">&amp;mut </span><span class="self">self</span>);
<span class="self">self
</span>}
}
<span class="doccomment">/// Right-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, T&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span>Matrix&lt;T&gt; <span class="kw">where </span>T: Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="kw-2">mut </span><span class="self">self</span>, rhs: <span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>PermutationMatrix&lt;T&gt;) -&gt; Matrix&lt;T&gt; {
rhs.clone().permute_cols_in_place(<span class="kw-2">&amp;mut </span><span class="self">self</span>);
<span class="self">self
</span>}
}
<span class="macro">macro_rules! </span>impl_permutation_matrix_right_multiply_reference_type {
(<span class="macro-nonterminal">$MatrixType</span>:ty) =&gt; (
<span class="doccomment">/// Right-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;m</span>, T&gt; Mul&lt;PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span><span class="macro-nonterminal">$MatrixType </span><span class="kw">where </span>T: Zero + Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: PermutationMatrix&lt;T&gt;) -&gt; Matrix&lt;T&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>output = Matrix::zeros(<span class="self">self</span>.rows(), <span class="self">self</span>.cols());
rhs.permute_cols_into_buffer(<span class="self">self</span>, <span class="kw-2">&amp;mut </span>output);
output
}
}
<span class="doccomment">/// Right-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="lifetime">&#39;m</span>, T&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span><span class="macro-nonterminal">$MatrixType </span><span class="kw">where </span>T: Zero + Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>PermutationMatrix&lt;T&gt;) -&gt; Matrix&lt;T&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>output = Matrix::zeros(<span class="self">self</span>.rows(), <span class="self">self</span>.cols());
rhs.permute_cols_into_buffer(<span class="self">self</span>, <span class="kw-2">&amp;mut </span>output);
output
}
}
)
}
<span class="macro">macro_rules! </span>impl_permutation_matrix_slice_right_multiply_value_type {
(<span class="macro-nonterminal">$MatrixType</span>:ty) =&gt; (
<span class="doccomment">/// Right-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;m</span>, T&gt; Mul&lt;PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span><span class="macro-nonterminal">$MatrixType </span><span class="kw">where </span>T: Zero + Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: PermutationMatrix&lt;T&gt;) -&gt; Matrix&lt;T&gt; {
<span class="kw-2">&amp;</span><span class="self">self </span>* rhs
}
}
<span class="doccomment">/// Right-multiply a matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="lifetime">&#39;m</span>, T&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span><span class="macro-nonterminal">$MatrixType </span><span class="kw">where </span>T: Zero + Clone {
<span class="kw">type </span>Output = Matrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>PermutationMatrix&lt;T&gt;) -&gt; Matrix&lt;T&gt; {
<span class="kw-2">&amp;</span><span class="self">self </span>* rhs
}
}
)
}
<span class="macro">impl_permutation_matrix_right_multiply_reference_type!</span>(Matrix&lt;T&gt;);
<span class="macro">impl_permutation_matrix_right_multiply_reference_type!</span>(MatrixSlice&lt;<span class="lifetime">&#39;m</span>, T&gt;);
<span class="macro">impl_permutation_matrix_right_multiply_reference_type!</span>(MatrixSliceMut&lt;<span class="lifetime">&#39;m</span>, T&gt;);
<span class="macro">impl_permutation_matrix_slice_right_multiply_value_type!</span>(MatrixSlice&lt;<span class="lifetime">&#39;m</span>, T&gt;);
<span class="macro">impl_permutation_matrix_slice_right_multiply_value_type!</span>(MatrixSliceMut&lt;<span class="lifetime">&#39;m</span>, T&gt;);
<span class="doccomment">/// Multiply a permutation matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;T: Clone&gt; Mul&lt;PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span>PermutationMatrix&lt;T&gt; {
<span class="kw">type </span>Output = PermutationMatrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: PermutationMatrix&lt;T&gt;) -&gt; PermutationMatrix&lt;T&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>output = PermutationMatrix::identity(rhs.size());
<span class="self">self</span>.compose_into_buffer(<span class="kw-2">&amp;</span>rhs, <span class="kw-2">&amp;mut </span>output);
output
}
}
<span class="doccomment">/// Multiply a permutation matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, T: Clone&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span>PermutationMatrix&lt;T&gt; {
<span class="kw">type </span>Output = PermutationMatrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="kw-2">&amp;</span>PermutationMatrix&lt;T&gt;) -&gt; PermutationMatrix&lt;T&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>output = PermutationMatrix::identity(rhs.size());
<span class="self">self</span>.compose_into_buffer(rhs, <span class="kw-2">&amp;mut </span>output);
output
}
}
<span class="doccomment">/// Multiply a permutation matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, T: Clone&gt; Mul&lt;PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>PermutationMatrix&lt;T&gt; {
<span class="kw">type </span>Output = PermutationMatrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: PermutationMatrix&lt;T&gt;) -&gt; PermutationMatrix&lt;T&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>output = PermutationMatrix::identity(rhs.size());
<span class="self">self</span>.compose_into_buffer(<span class="kw-2">&amp;</span>rhs, <span class="kw-2">&amp;mut </span>output);
output
}
}
<span class="doccomment">/// Multiply a permutation matrix by a permutation matrix.
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, T: Clone&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>PermutationMatrix&lt;T&gt;&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>PermutationMatrix&lt;T&gt; {
<span class="kw">type </span>Output = PermutationMatrix&lt;T&gt;;
<span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>PermutationMatrix&lt;T&gt;) -&gt; PermutationMatrix&lt;T&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>output = PermutationMatrix::identity(rhs.size());
<span class="self">self</span>.compose_into_buffer(rhs, <span class="kw-2">&amp;mut </span>output);
output
}
}
<span class="attribute">#[cfg(test)]
</span><span class="kw">mod </span>tests {
<span class="kw">use </span>matrix::{BaseMatrix, BaseMatrixMut};
<span class="kw">use </span>matrix::PermutationMatrix;
<span class="attribute">#[test]
</span><span class="kw">fn </span>permutation_vector_mul() {
<span class="kw">let </span>p = PermutationMatrix::from_array(<span class="macro">vec!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">0</span>]).unwrap();
<span class="kw">let </span>x = <span class="macro">vector!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>];
<span class="kw">let </span>expected = <span class="macro">vector!</span>[<span class="number">3</span>, <span class="number">1</span>, <span class="number">2</span>];
{
<span class="kw">let </span>y = p.clone() * x.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="kw">let </span>y = p.clone() * <span class="kw-2">&amp;</span>x;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>p * x.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>p * <span class="kw-2">&amp;</span>x;
<span class="macro">assert_eq!</span>(y, expected);
}
}
<span class="attribute">#[test]
</span><span class="kw">fn </span>permutation_matrix_left_mul_for_matrix() {
<span class="kw">let </span>p = PermutationMatrix::from_array(<span class="macro">vec!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">0</span>]).unwrap();
<span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>;
<span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>;
<span class="number">7</span>, <span class="number">8</span>, <span class="number">9</span>];
<span class="kw">let </span>expected = <span class="macro">matrix!</span>[<span class="number">7</span>, <span class="number">8</span>, <span class="number">9</span>;
<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>;
<span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>];
{
<span class="comment">// Consume p, consume rhs
</span><span class="kw">let </span>y = p.clone() * x.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Consume p, borrow rhs
</span><span class="kw">let </span>y = p.clone() * <span class="kw-2">&amp;</span>x;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow p, consume rhs
</span><span class="kw">let </span>y = <span class="kw-2">&amp;</span>p * x.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow p, borrow rhs
</span><span class="kw">let </span>y = <span class="kw-2">&amp;</span>p * <span class="kw-2">&amp;</span>x;
<span class="macro">assert_eq!</span>(y, expected);
}
}
<span class="attribute">#[test]
</span><span class="kw">fn </span>permutation_matrix_left_mul_for_matrix_slice() {
<span class="kw">let </span>p = PermutationMatrix::from_array(<span class="macro">vec!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">0</span>]).unwrap();
<span class="kw">let </span>x_source = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>;
<span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>;
<span class="number">7</span>, <span class="number">8</span>, <span class="number">9</span>];
<span class="kw">let </span>expected = <span class="macro">matrix!</span>[<span class="number">7</span>, <span class="number">8</span>, <span class="number">9</span>;
<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>;
<span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>];
{
<span class="comment">// Consume immutable, consume p
</span><span class="kw">let </span>x = x_source.sub_slice([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = p.clone() * x;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow immutable, consume p
</span><span class="kw">let </span>x = x_source.sub_slice([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = p.clone() * <span class="kw-2">&amp;</span>x;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Consume immutable, borrow p
</span><span class="kw">let </span>x = x_source.sub_slice([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>p * x;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow immutable, borrow p
</span><span class="kw">let </span>x = x_source.sub_slice([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>p * <span class="kw-2">&amp;</span>x;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Consume mutable, consume p
</span><span class="kw">let </span><span class="kw-2">mut </span>x_source = x_source.clone();
<span class="kw">let </span>x = x_source.sub_slice_mut([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = p.clone() * x;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow mutable, consume p
</span><span class="kw">let </span><span class="kw-2">mut </span>x_source = x_source.clone();
<span class="kw">let </span>x = x_source.sub_slice_mut([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = p.clone() * <span class="kw-2">&amp;</span>x;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Consume mutable, borrow p
</span><span class="kw">let </span><span class="kw-2">mut </span>x_source = x_source.clone();
<span class="kw">let </span>x = x_source.sub_slice_mut([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>p * x;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow mutable, borrow p
</span><span class="kw">let </span><span class="kw-2">mut </span>x_source = x_source.clone();
<span class="kw">let </span>x = x_source.sub_slice_mut([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>p * <span class="kw-2">&amp;</span>x;
<span class="macro">assert_eq!</span>(y, expected);
}
}
<span class="attribute">#[test]
</span><span class="kw">fn </span>permutation_matrix_right_mul_for_matrix() {
<span class="kw">let </span>p = PermutationMatrix::from_array(<span class="macro">vec!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">0</span>]).unwrap();
<span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>;
<span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>;
<span class="number">7</span>, <span class="number">8</span>, <span class="number">9</span>];
<span class="kw">let </span>expected = <span class="macro">matrix!</span>[<span class="number">3</span>, <span class="number">1</span>, <span class="number">2</span>;
<span class="number">6</span>, <span class="number">4</span>, <span class="number">5</span>;
<span class="number">9</span>, <span class="number">7</span>, <span class="number">8</span>];
{
<span class="comment">// Consume lhs, consume p
</span><span class="kw">let </span>y = x.clone() * p.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Consume lhs, borrow p
</span><span class="kw">let </span>y = x.clone() * <span class="kw-2">&amp;</span>p;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow lhs, consume p
</span><span class="kw">let </span>y = <span class="kw-2">&amp;</span>x * p.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow lhs, borrow p
</span><span class="kw">let </span>y = <span class="kw-2">&amp;</span>x * <span class="kw-2">&amp;</span>p;
<span class="macro">assert_eq!</span>(y, expected);
}
}
<span class="attribute">#[test]
</span><span class="kw">fn </span>permutation_matrix_right_mul_for_matrix_slice() {
<span class="kw">let </span>p = PermutationMatrix::from_array(<span class="macro">vec!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">0</span>]).unwrap();
<span class="kw">let </span>x_source = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>;
<span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>;
<span class="number">7</span>, <span class="number">8</span>, <span class="number">9</span>];
<span class="kw">let </span>expected = <span class="macro">matrix!</span>[<span class="number">3</span>, <span class="number">1</span>, <span class="number">2</span>;
<span class="number">6</span>, <span class="number">4</span>, <span class="number">5</span>;
<span class="number">9</span>, <span class="number">7</span>, <span class="number">8</span>];
{
<span class="comment">// Consume immutable lhs, consume p
</span><span class="kw">let </span>x = x_source.sub_slice([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = x * p.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow immutable lhs, consume p
</span><span class="kw">let </span>x = x_source.sub_slice([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>x * p.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Consume immutable lhs, consume p
</span><span class="kw">let </span>x = x_source.sub_slice([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = x * <span class="kw-2">&amp;</span>p;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow immutable lhs, borrow p
</span><span class="kw">let </span>x = x_source.sub_slice([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>x * <span class="kw-2">&amp;</span>p;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Consume mutable lhs, consume p
</span><span class="kw">let </span><span class="kw-2">mut </span>x_source = x_source.clone();
<span class="kw">let </span>x = x_source.sub_slice_mut([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = x * p.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow mutable lhs, consume p
</span><span class="kw">let </span><span class="kw-2">mut </span>x_source = x_source.clone();
<span class="kw">let </span>x = x_source.sub_slice_mut([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>x * p.clone();
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Consume mutable lhs, borrow p
</span><span class="kw">let </span><span class="kw-2">mut </span>x_source = x_source.clone();
<span class="kw">let </span>x = x_source.sub_slice_mut([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = x * <span class="kw-2">&amp;</span>p;
<span class="macro">assert_eq!</span>(y, expected);
}
{
<span class="comment">// Borrow mutable lhs, borrow p
</span><span class="kw">let </span><span class="kw-2">mut </span>x_source = x_source.clone();
<span class="kw">let </span>x = x_source.sub_slice_mut([<span class="number">0</span>, <span class="number">0</span>], <span class="number">3</span>, <span class="number">3</span>);
<span class="kw">let </span>y = <span class="kw-2">&amp;</span>x * <span class="kw-2">&amp;</span>p;
<span class="macro">assert_eq!</span>(y, expected);
}
}
<span class="attribute">#[test]
</span><span class="kw">fn </span>permutation_matrix_self_multiply() {
<span class="kw">let </span>p1 = PermutationMatrix::&lt;u32&gt;::from_array(<span class="macro">vec!</span>[<span class="number">2</span>, <span class="number">0</span>, <span class="number">1</span>, <span class="number">3</span>]).unwrap();
<span class="kw">let </span>p2 = PermutationMatrix::&lt;u32&gt;::from_array(<span class="macro">vec!</span>[<span class="number">0</span>, <span class="number">3</span>, <span class="number">2</span>, <span class="number">1</span>]).unwrap();
<span class="kw">let </span>p1p2 = PermutationMatrix::from_array(<span class="macro">vec!</span>[<span class="number">2</span>, <span class="number">3</span>, <span class="number">1</span>, <span class="number">0</span>]).unwrap();
<span class="kw">let </span>p2p1 = PermutationMatrix::from_array(<span class="macro">vec!</span>[<span class="number">2</span>, <span class="number">0</span>, <span class="number">3</span>, <span class="number">1</span>]).unwrap();
{
<span class="comment">// Consume p1, consume p2
</span><span class="macro">assert_eq!</span>(p1p2, p1.clone() * p2.clone());
<span class="macro">assert_eq!</span>(p2p1, p2.clone() * p1.clone());
}
{
<span class="comment">// Consume p1, borrow p2
</span><span class="macro">assert_eq!</span>(p1p2, p1.clone() * <span class="kw-2">&amp;</span>p2);
<span class="macro">assert_eq!</span>(p2p1, <span class="kw-2">&amp;</span>p2 * p1.clone());
}
{
<span class="comment">// Borrow p1, consume p2
</span><span class="macro">assert_eq!</span>(p1p2, <span class="kw-2">&amp;</span>p1 * p2.clone());
<span class="macro">assert_eq!</span>(p2p1, p2.clone() * <span class="kw-2">&amp;</span>p1);
}
{
<span class="comment">// Borrow p1, borrow p2
</span><span class="macro">assert_eq!</span>(p1p2, <span class="kw-2">&amp;</span>p1 * <span class="kw-2">&amp;</span>p2);
<span class="macro">assert_eq!</span>(p2p1, <span class="kw-2">&amp;</span>p2 * <span class="kw-2">&amp;</span>p1);
}
}
}
</code></pre></div>
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