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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 `/home/sangenya/.cargo/registry/src/github.com-1ecc6299db9ec823/ndarray-0.10.14/src/numeric_util.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>numeric_util.rs - source</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="../../light.css"  id="themeStyle"><link rel="stylesheet" type="text/css" href="../../dark.css" disabled ><link rel="stylesheet" type="text/css" href="../../ayu.css" disabled ><script id="default-settings"></script><script src="../../storage.js"></script><script src="../../crates.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="icon" type="image/svg+xml" href="../../favicon.svg">
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</pre><pre class="rust">
<span class="comment">// Copyright 2014-2016 bluss and ndarray developers.</span>
<span class="comment">//</span>
<span class="comment">// Licensed under the Apache License, Version 2.0 &lt;LICENSE-APACHE or</span>
<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0&gt; or the MIT license</span>
<span class="comment">// &lt;LICENSE-MIT or http://opensource.org/licenses/MIT&gt;, at your</span>
<span class="comment">// option. This file may not be copied, modified, or distributed</span>
<span class="comment">// except according to those terms.</span>
<span class="kw">use</span> <span class="ident">libnum</span>;

<span class="kw">use</span> <span class="ident">std::cmp</span>;
<span class="kw">use</span> <span class="ident">std::ops</span>::{
    <span class="ident">Add</span>,
};

<span class="kw">use</span> <span class="ident">LinalgScalar</span>;

<span class="doccomment">/// Compute the sum of the values in `xs`</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">unrolled_sum</span><span class="op">&lt;</span><span class="ident">A</span><span class="op">&gt;</span>(<span class="kw-2">mut</span> <span class="ident">xs</span>: <span class="kw-2">&amp;</span>[<span class="ident">A</span>]) <span class="op">-</span><span class="op">&gt;</span> <span class="ident">A</span>
    <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Add</span><span class="op">&lt;</span><span class="ident">Output</span><span class="op">=</span><span class="ident">A</span><span class="op">&gt;</span> <span class="op">+</span> <span class="ident">libnum::Zero</span>,
{
    <span class="comment">// eightfold unrolled so that floating point can be vectorized</span>
    <span class="comment">// (even with strict floating point accuracy semantics)</span>
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">sum</span> <span class="op">=</span> <span class="ident">A::zero</span>();
    <span class="kw">let</span> (<span class="kw-2">mut</span> <span class="ident">p0</span>, <span class="kw-2">mut</span> <span class="ident">p1</span>, <span class="kw-2">mut</span> <span class="ident">p2</span>, <span class="kw-2">mut</span> <span class="ident">p3</span>,
         <span class="kw-2">mut</span> <span class="ident">p4</span>, <span class="kw-2">mut</span> <span class="ident">p5</span>, <span class="kw-2">mut</span> <span class="ident">p6</span>, <span class="kw-2">mut</span> <span class="ident">p7</span>) <span class="op">=</span>
        (<span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(),
         <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>());
    <span class="kw">while</span> <span class="ident">xs</span>.<span class="ident">len</span>() <span class="op">&gt;</span><span class="op">=</span> <span class="number">8</span> {
        <span class="ident">p0</span> <span class="op">=</span> <span class="ident">p0</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">0</span>].<span class="ident">clone</span>();
        <span class="ident">p1</span> <span class="op">=</span> <span class="ident">p1</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">1</span>].<span class="ident">clone</span>();
        <span class="ident">p2</span> <span class="op">=</span> <span class="ident">p2</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">2</span>].<span class="ident">clone</span>();
        <span class="ident">p3</span> <span class="op">=</span> <span class="ident">p3</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">3</span>].<span class="ident">clone</span>();
        <span class="ident">p4</span> <span class="op">=</span> <span class="ident">p4</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">4</span>].<span class="ident">clone</span>();
        <span class="ident">p5</span> <span class="op">=</span> <span class="ident">p5</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">5</span>].<span class="ident">clone</span>();
        <span class="ident">p6</span> <span class="op">=</span> <span class="ident">p6</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">6</span>].<span class="ident">clone</span>();
        <span class="ident">p7</span> <span class="op">=</span> <span class="ident">p7</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">7</span>].<span class="ident">clone</span>();

        <span class="ident">xs</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="ident">xs</span>[<span class="number">8</span>..];
    }
    <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span>.<span class="ident">clone</span>() <span class="op">+</span> (<span class="ident">p0</span> <span class="op">+</span> <span class="ident">p4</span>);
    <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span>.<span class="ident">clone</span>() <span class="op">+</span> (<span class="ident">p1</span> <span class="op">+</span> <span class="ident">p5</span>);
    <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span>.<span class="ident">clone</span>() <span class="op">+</span> (<span class="ident">p2</span> <span class="op">+</span> <span class="ident">p6</span>);
    <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span>.<span class="ident">clone</span>() <span class="op">+</span> (<span class="ident">p3</span> <span class="op">+</span> <span class="ident">p7</span>);

    <span class="comment">// make it clear to the optimizer that this loop is short</span>
    <span class="comment">// and can not be autovectorized.</span>
    <span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="number">0</span>..<span class="ident">xs</span>.<span class="ident">len</span>() {
        <span class="kw">if</span> <span class="ident">i</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">7</span> { <span class="kw">break</span>; }
        <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span>.<span class="ident">clone</span>() <span class="op">+</span> <span class="ident">xs</span>[<span class="ident">i</span>].<span class="ident">clone</span>()
    }
    <span class="ident">sum</span>
}

<span class="doccomment">/// Compute the dot product.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// `xs` and `ys` must be the same length</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">unrolled_dot</span><span class="op">&lt;</span><span class="ident">A</span><span class="op">&gt;</span>(<span class="ident">xs</span>: <span class="kw-2">&amp;</span>[<span class="ident">A</span>], <span class="ident">ys</span>: <span class="kw-2">&amp;</span>[<span class="ident">A</span>]) <span class="op">-</span><span class="op">&gt;</span> <span class="ident">A</span>
    <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">LinalgScalar</span>,
{
    <span class="macro">debug_assert_eq!</span>(<span class="ident">xs</span>.<span class="ident">len</span>(), <span class="ident">ys</span>.<span class="ident">len</span>());
    <span class="comment">// eightfold unrolled so that floating point can be vectorized</span>
    <span class="comment">// (even with strict floating point accuracy semantics)</span>
    <span class="kw">let</span> <span class="ident">len</span> <span class="op">=</span> <span class="ident">cmp::min</span>(<span class="ident">xs</span>.<span class="ident">len</span>(), <span class="ident">ys</span>.<span class="ident">len</span>());
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">xs</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="ident">xs</span>[..<span class="ident">len</span>];
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ys</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="ident">ys</span>[..<span class="ident">len</span>];
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">sum</span> <span class="op">=</span> <span class="ident">A::zero</span>();
    <span class="kw">let</span> (<span class="kw-2">mut</span> <span class="ident">p0</span>, <span class="kw-2">mut</span> <span class="ident">p1</span>, <span class="kw-2">mut</span> <span class="ident">p2</span>, <span class="kw-2">mut</span> <span class="ident">p3</span>,
         <span class="kw-2">mut</span> <span class="ident">p4</span>, <span class="kw-2">mut</span> <span class="ident">p5</span>, <span class="kw-2">mut</span> <span class="ident">p6</span>, <span class="kw-2">mut</span> <span class="ident">p7</span>) <span class="op">=</span>
        (<span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(),
         <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>(), <span class="ident">A::zero</span>());
    <span class="kw">while</span> <span class="ident">xs</span>.<span class="ident">len</span>() <span class="op">&gt;</span><span class="op">=</span> <span class="number">8</span> {
        <span class="ident">p0</span> <span class="op">=</span> <span class="ident">p0</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">0</span>] <span class="op">*</span> <span class="ident">ys</span>[<span class="number">0</span>];
        <span class="ident">p1</span> <span class="op">=</span> <span class="ident">p1</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">1</span>] <span class="op">*</span> <span class="ident">ys</span>[<span class="number">1</span>];
        <span class="ident">p2</span> <span class="op">=</span> <span class="ident">p2</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">2</span>] <span class="op">*</span> <span class="ident">ys</span>[<span class="number">2</span>];
        <span class="ident">p3</span> <span class="op">=</span> <span class="ident">p3</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">3</span>] <span class="op">*</span> <span class="ident">ys</span>[<span class="number">3</span>];
        <span class="ident">p4</span> <span class="op">=</span> <span class="ident">p4</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">4</span>] <span class="op">*</span> <span class="ident">ys</span>[<span class="number">4</span>];
        <span class="ident">p5</span> <span class="op">=</span> <span class="ident">p5</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">5</span>] <span class="op">*</span> <span class="ident">ys</span>[<span class="number">5</span>];
        <span class="ident">p6</span> <span class="op">=</span> <span class="ident">p6</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">6</span>] <span class="op">*</span> <span class="ident">ys</span>[<span class="number">6</span>];
        <span class="ident">p7</span> <span class="op">=</span> <span class="ident">p7</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="number">7</span>] <span class="op">*</span> <span class="ident">ys</span>[<span class="number">7</span>];

        <span class="ident">xs</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="ident">xs</span>[<span class="number">8</span>..];
        <span class="ident">ys</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="ident">ys</span>[<span class="number">8</span>..];
    }
    <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span> <span class="op">+</span> (<span class="ident">p0</span> <span class="op">+</span> <span class="ident">p4</span>);
    <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span> <span class="op">+</span> (<span class="ident">p1</span> <span class="op">+</span> <span class="ident">p5</span>);
    <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span> <span class="op">+</span> (<span class="ident">p2</span> <span class="op">+</span> <span class="ident">p6</span>);
    <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span> <span class="op">+</span> (<span class="ident">p3</span> <span class="op">+</span> <span class="ident">p7</span>);

    <span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="number">0</span>..<span class="ident">xs</span>.<span class="ident">len</span>() {
        <span class="kw">if</span> <span class="ident">i</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">7</span> { <span class="kw">break</span>; }
        <span class="kw">unsafe</span> {
            <span class="comment">// get_unchecked is needed to avoid the bounds check</span>
            <span class="ident">sum</span> <span class="op">=</span> <span class="ident">sum</span> <span class="op">+</span> <span class="ident">xs</span>[<span class="ident">i</span>] <span class="op">*</span> <span class="kw-2">*</span><span class="ident">ys</span>.<span class="ident">get_unchecked</span>(<span class="ident">i</span>);
        }
    }
    <span class="ident">sum</span>
}

<span class="doccomment">/// Compute pairwise equality</span>
<span class="doccomment">///</span>
<span class="doccomment">/// `xs` and `ys` must be the same length</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">unrolled_eq</span><span class="op">&lt;</span><span class="ident">A</span><span class="op">&gt;</span>(<span class="ident">xs</span>: <span class="kw-2">&amp;</span>[<span class="ident">A</span>], <span class="ident">ys</span>: <span class="kw-2">&amp;</span>[<span class="ident">A</span>]) <span class="op">-</span><span class="op">&gt;</span> <span class="ident">bool</span>
    <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">PartialEq</span>
{
    <span class="macro">debug_assert_eq!</span>(<span class="ident">xs</span>.<span class="ident">len</span>(), <span class="ident">ys</span>.<span class="ident">len</span>());
    <span class="comment">// eightfold unrolled for performance (this is not done by llvm automatically)</span>
    <span class="kw">let</span> <span class="ident">len</span> <span class="op">=</span> <span class="ident">cmp::min</span>(<span class="ident">xs</span>.<span class="ident">len</span>(), <span class="ident">ys</span>.<span class="ident">len</span>());
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">xs</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="ident">xs</span>[..<span class="ident">len</span>];
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ys</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="ident">ys</span>[..<span class="ident">len</span>];

    <span class="kw">while</span> <span class="ident">xs</span>.<span class="ident">len</span>() <span class="op">&gt;</span><span class="op">=</span> <span class="number">8</span> {
        <span class="kw">if</span> (<span class="ident">xs</span>[<span class="number">0</span>] <span class="op">!</span><span class="op">=</span> <span class="ident">ys</span>[<span class="number">0</span>])
        <span class="op">|</span> (<span class="ident">xs</span>[<span class="number">1</span>] <span class="op">!</span><span class="op">=</span> <span class="ident">ys</span>[<span class="number">1</span>])
        <span class="op">|</span> (<span class="ident">xs</span>[<span class="number">2</span>] <span class="op">!</span><span class="op">=</span> <span class="ident">ys</span>[<span class="number">2</span>])
        <span class="op">|</span> (<span class="ident">xs</span>[<span class="number">3</span>] <span class="op">!</span><span class="op">=</span> <span class="ident">ys</span>[<span class="number">3</span>])
        <span class="op">|</span> (<span class="ident">xs</span>[<span class="number">4</span>] <span class="op">!</span><span class="op">=</span> <span class="ident">ys</span>[<span class="number">4</span>])
        <span class="op">|</span> (<span class="ident">xs</span>[<span class="number">5</span>] <span class="op">!</span><span class="op">=</span> <span class="ident">ys</span>[<span class="number">5</span>])
        <span class="op">|</span> (<span class="ident">xs</span>[<span class="number">6</span>] <span class="op">!</span><span class="op">=</span> <span class="ident">ys</span>[<span class="number">6</span>])
        <span class="op">|</span> (<span class="ident">xs</span>[<span class="number">7</span>] <span class="op">!</span><span class="op">=</span> <span class="ident">ys</span>[<span class="number">7</span>]) { <span class="kw">return</span> <span class="bool-val">false</span>; }
        <span class="ident">xs</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="ident">xs</span>[<span class="number">8</span>..];
        <span class="ident">ys</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="ident">ys</span>[<span class="number">8</span>..];
    }

    <span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="number">0</span>..<span class="ident">xs</span>.<span class="ident">len</span>() {
        <span class="kw">if</span> <span class="ident">xs</span>[<span class="ident">i</span>] <span class="op">!</span><span class="op">=</span> <span class="ident">ys</span>[<span class="ident">i</span>] {
            <span class="kw">return</span> <span class="bool-val">false</span>;
        }
    }

    <span class="bool-val">true</span>
}
</pre></div>
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