<!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 to the Rust file `/home/mrh/.cargo/registry/src/github.com-1ecc6299db9ec823/cgmath-0.17.0/src/point.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>point.rs.html -- 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="../../dark.css"><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script src="../../storage.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="shortcut icon" href="../../favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc source"><!--[if 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settings"></a></div></form></nav><section id="main" class="content"><pre class="line-numbers"><span id="1"> 1</span> <span id="2"> 2</span> <span id="3"> 3</span> <span id="4"> 4</span> <span id="5"> 5</span> <span id="6"> 6</span> <span id="7"> 7</span> <span id="8"> 8</span> <span id="9"> 9</span> <span id="10"> 10</span> <span id="11"> 11</span> <span id="12"> 12</span> <span id="13"> 13</span> <span id="14"> 14</span> <span id="15"> 15</span> <span id="16"> 16</span> <span id="17"> 17</span> <span id="18"> 18</span> <span id="19"> 19</span> <span id="20"> 20</span> <span id="21"> 21</span> <span id="22"> 22</span> <span id="23"> 23</span> <span id="24"> 24</span> <span id="25"> 25</span> <span id="26"> 26</span> <span id="27"> 27</span> <span id="28"> 28</span> <span id="29"> 29</span> <span id="30"> 30</span> <span id="31"> 31</span> <span id="32"> 32</span> <span id="33"> 33</span> <span id="34"> 34</span> <span id="35"> 35</span> <span id="36"> 36</span> <span id="37"> 37</span> 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id="573">573</span> <span id="574">574</span> <span id="575">575</span> <span id="576">576</span> <span id="577">577</span> <span id="578">578</span> <span id="579">579</span> <span id="580">580</span> <span id="581">581</span> <span id="582">582</span> <span id="583">583</span> <span id="584">584</span> <span id="585">585</span> <span id="586">586</span> </pre><div class="example-wrap"><pre class="rust "> <span class="comment">// Copyright 2013-2014 The CGMath Developers. For a full listing of the authors,</span> <span class="comment">// refer to the Cargo.toml file at the top-level directory of this distribution.</span> <span class="comment">//</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span> <span class="comment">// you may not use this file except in compliance with the License.</span> <span class="comment">// You may obtain a copy of the License at</span> <span class="comment">//</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span> <span class="comment">//</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span> <span class="comment">// See the License for the specific language governing permissions and</span> <span class="comment">// limitations under the License.</span> <span class="doccomment">//! Points are fixed positions in affine space with no length or direction. This</span> <span class="doccomment">//! distinguishes them from vectors, which have a length and direction, but do</span> <span class="doccomment">//! not have a fixed position.</span> <span class="kw">use</span> <span class="ident">num_traits</span>::{<span class="ident">Bounded</span>, <span class="ident">NumCast</span>}; <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">fmt</span>; <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">mem</span>; <span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ops</span>::<span class="kw-2">*</span>; <span class="kw">use</span> <span class="ident">structure</span>::<span class="kw-2">*</span>; <span class="kw">use</span> <span class="ident">approx</span>; <span class="kw">use</span> <span class="ident">num</span>::{<span class="ident">BaseFloat</span>, <span class="ident">BaseNum</span>}; <span class="kw">use</span> <span class="ident">vector</span>::{<span class="ident">Vector1</span>, <span class="ident">Vector2</span>, <span class="ident">Vector3</span>, <span class="ident">Vector4</span>}; <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"mint"</span>)]</span> <span class="kw">use</span> <span class="ident">mint</span>; <span class="doccomment">/// A point in 1-dimensional space.</span> <span class="doccomment">///</span> <span class="doccomment">/// This type is marked as `#[repr(C)]`.</span> <span class="attribute">#[<span class="ident">repr</span>(<span class="ident">C</span>)]</span> <span class="attribute">#[<span class="ident">derive</span>(<span class="ident">PartialEq</span>, <span class="ident">Eq</span>, <span class="ident">Copy</span>, <span class="ident">Clone</span>, <span class="ident">Hash</span>)]</span> <span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"serde"</span>, <span class="ident">derive</span>(<span class="ident">Serialize</span>, <span class="ident">Deserialize</span>))]</span> <span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">Point1</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">pub</span> <span class="ident">x</span>: <span class="ident">S</span>, } <span class="doccomment">/// A point in 2-dimensional space.</span> <span class="doccomment">///</span> <span class="doccomment">/// This type is marked as `#[repr(C)]`.</span> <span class="attribute">#[<span class="ident">repr</span>(<span class="ident">C</span>)]</span> <span class="attribute">#[<span class="ident">derive</span>(<span class="ident">PartialEq</span>, <span class="ident">Eq</span>, <span class="ident">Copy</span>, <span class="ident">Clone</span>, <span class="ident">Hash</span>)]</span> <span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"serde"</span>, <span class="ident">derive</span>(<span class="ident">Serialize</span>, <span class="ident">Deserialize</span>))]</span> <span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">Point2</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">pub</span> <span class="ident">x</span>: <span class="ident">S</span>, <span class="kw">pub</span> <span class="ident">y</span>: <span class="ident">S</span>, } <span class="doccomment">/// A point in 3-dimensional space.</span> <span class="doccomment">///</span> <span class="doccomment">/// This type is marked as `#[repr(C)]`.</span> <span class="attribute">#[<span class="ident">repr</span>(<span class="ident">C</span>)]</span> <span class="attribute">#[<span class="ident">derive</span>(<span class="ident">PartialEq</span>, <span class="ident">Eq</span>, <span class="ident">Copy</span>, <span class="ident">Clone</span>, <span class="ident">Hash</span>)]</span> <span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"serde"</span>, <span class="ident">derive</span>(<span class="ident">Serialize</span>, <span class="ident">Deserialize</span>))]</span> <span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">Point3</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">pub</span> <span class="ident">x</span>: <span class="ident">S</span>, <span class="kw">pub</span> <span class="ident">y</span>: <span class="ident">S</span>, <span class="kw">pub</span> <span class="ident">z</span>: <span class="ident">S</span>, } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">Point3</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_homogeneous</span>(<span class="ident">v</span>: <span class="ident">Vector4</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">Point3</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">v</span>.<span class="ident">truncate</span>() <span class="op">*</span> (<span class="ident">S</span>::<span class="ident">one</span>() <span class="op">/</span> <span class="ident">v</span>.<span class="ident">w</span>); <span class="ident">Point3</span>::<span class="ident">new</span>(<span class="ident">e</span>.<span class="ident">x</span>, <span class="ident">e</span>.<span class="ident">y</span>, <span class="ident">e</span>.<span class="ident">z</span>) <span class="comment">//FIXME</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_homogeneous</span>(<span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vector4</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="ident">Vector4</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">x</span>, <span class="self">self</span>.<span class="ident">y</span>, <span class="self">self</span>.<span class="ident">z</span>, <span class="ident">S</span>::<span class="ident">one</span>()) } } <span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">impl_point</span> { (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>:<span class="ident">ident</span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>:<span class="ident">ident</span>),<span class="op">+</span> }, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">n</span>:<span class="ident">expr</span>) <span class="op">=</span><span class="op">></span> { <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="doccomment">/// Construct a new point, using the provided values.</span> <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">pub</span> <span class="kw">const</span> <span class="kw">fn</span> <span class="ident">new</span>($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>: <span class="ident">S</span>),<span class="op">+</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> } } <span class="doccomment">/// Perform the given operation on each field in the point, returning a new point</span> <span class="doccomment">/// constructed from the operations.</span> <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">map</span><span class="op"><</span><span class="ident">U</span>, <span class="ident">F</span><span class="op">></span>(<span class="self">self</span>, <span class="kw-2">mut</span> <span class="ident">f</span>: <span class="ident">F</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">U</span><span class="op">></span> <span class="kw">where</span> <span class="ident">F</span>: <span class="ident">FnMut</span>(<span class="ident">S</span>) <span class="op">-</span><span class="op">></span> <span class="ident">U</span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>: <span class="ident">f</span>(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>)),<span class="op">+</span> } } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">Array</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">type</span> <span class="ident">Element</span> <span class="op">=</span> <span class="ident">S</span>; <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">len</span>() <span class="op">-</span><span class="op">></span> <span class="ident">usize</span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">n</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">from_value</span>(<span class="ident">scalar</span>: <span class="ident">S</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>: <span class="ident">scalar</span>),<span class="op">+</span> } } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">sum</span>(<span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">S</span> <span class="kw">where</span> <span class="ident">S</span>: <span class="ident">Add</span><span class="op"><</span><span class="ident">Output</span> <span class="op">=</span> <span class="ident">S</span><span class="op">></span> { <span class="macro">fold_array</span><span class="macro">!</span>(<span class="ident">add</span>, { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">product</span>(<span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">S</span> <span class="kw">where</span> <span class="ident">S</span>: <span class="ident">Mul</span><span class="op"><</span><span class="ident">Output</span> <span class="op">=</span> <span class="ident">S</span><span class="op">></span> { <span class="macro">fold_array</span><span class="macro">!</span>(<span class="ident">mul</span>, { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }) } <span class="kw">fn</span> <span class="ident">is_finite</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> <span class="kw">where</span> <span class="ident">S</span>: <span class="ident">BaseFloat</span> { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>.<span class="ident">is_finite</span>())<span class="kw-2">&</span><span class="kw-2">&</span><span class="op">+</span> } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">NumCast</span> <span class="op">+</span> <span class="ident">Copy</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="doccomment">/// Component-wise casting to another type</span> <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">cast</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">NumCast</span><span class="op">></span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> { $( <span class="kw">let</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">=</span> <span class="kw">match</span> <span class="ident">NumCast</span>::<span class="ident">from</span>(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>) { <span class="prelude-val">Some</span>(<span class="ident">field</span>) <span class="op">=</span><span class="op">></span> <span class="ident">field</span>, <span class="prelude-val">None</span> <span class="op">=</span><span class="op">></span> <span class="kw">return</span> <span class="prelude-val">None</span> }; )<span class="op">+</span> <span class="prelude-val">Some</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }) } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseFloat</span><span class="op">></span> <span class="ident">MetricSpace</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">type</span> <span class="ident">Metric</span> <span class="op">=</span> <span class="ident">S</span>; <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">distance2</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">S</span> { (<span class="ident">other</span> <span class="op">-</span> <span class="self">self</span>).<span class="ident">magnitude2</span>() } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">EuclideanSpace</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">type</span> <span class="ident">Scalar</span> <span class="op">=</span> <span class="ident">S</span>; <span class="kw">type</span> <span class="ident">Diff</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>; <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">origin</span>() <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>: <span class="ident">S</span>::<span class="ident">zero</span>()),<span class="op">+</span> } } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">from_vec</span>(<span class="ident">v</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="ident">v</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">to_vec</span>(<span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">dot</span>(<span class="self">self</span>, <span class="ident">v</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">S</span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">*</span> <span class="ident">v</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>).<span class="ident">sum</span>() } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseFloat</span><span class="op">></span> <span class="ident">approx</span>::<span class="ident">AbsDiffEq</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">type</span> <span class="ident">Epsilon</span> <span class="op">=</span> <span class="ident">S</span>::<span class="ident">Epsilon</span>; <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">default_epsilon</span>() <span class="op">-</span><span class="op">></span> <span class="ident">S</span>::<span class="ident">Epsilon</span> { <span class="ident">S</span>::<span class="ident">default_epsilon</span>() } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">abs_diff_eq</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>, <span class="ident">epsilon</span>: <span class="ident">S</span>::<span class="ident">Epsilon</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> { $(<span class="ident">S</span>::<span class="ident">abs_diff_eq</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>, <span class="kw-2">&</span><span class="ident">other</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>, <span class="ident">epsilon</span>))<span class="kw-2">&</span><span class="kw-2">&</span><span class="op">+</span> } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseFloat</span><span class="op">></span> <span class="ident">approx</span>::<span class="ident">RelativeEq</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">default_max_relative</span>() <span class="op">-</span><span class="op">></span> <span class="ident">S</span>::<span class="ident">Epsilon</span> { <span class="ident">S</span>::<span class="ident">default_max_relative</span>() } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">relative_eq</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>, <span class="ident">epsilon</span>: <span class="ident">S</span>::<span class="ident">Epsilon</span>, <span class="ident">max_relative</span>: <span class="ident">S</span>::<span class="ident">Epsilon</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> { $(<span class="ident">S</span>::<span class="ident">relative_eq</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>, <span class="kw-2">&</span><span class="ident">other</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>, <span class="ident">epsilon</span>, <span class="ident">max_relative</span>))<span class="kw-2">&</span><span class="kw-2">&</span><span class="op">+</span> } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseFloat</span><span class="op">></span> <span class="ident">approx</span>::<span class="ident">UlpsEq</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">default_max_ulps</span>() <span class="op">-</span><span class="op">></span> <span class="ident">u32</span> { <span class="ident">S</span>::<span class="ident">default_max_ulps</span>() } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">ulps_eq</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>, <span class="ident">epsilon</span>: <span class="ident">S</span>::<span class="ident">Epsilon</span>, <span class="ident">max_ulps</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> { $(<span class="ident">S</span>::<span class="ident">ulps_eq</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>, <span class="kw-2">&</span><span class="ident">other</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>, <span class="ident">epsilon</span>, <span class="ident">max_ulps</span>))<span class="kw-2">&</span><span class="kw-2">&</span><span class="op">+</span> } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">Bounded</span><span class="op">></span> <span class="ident">Bounded</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">min_value</span>() <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>: <span class="ident">S</span>::<span class="ident">min_value</span>()),<span class="op">+</span> } } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">max_value</span>() <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>: <span class="ident">S</span>::<span class="ident">max_value</span>()),<span class="op">+</span> } } } <span class="macro">impl_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">Add</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">add</span>(<span class="ident">lhs</span>, <span class="ident">rhs</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="ident">lhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">+</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } }); <span class="macro">impl_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">Sub</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">sub</span>(<span class="ident">lhs</span>, <span class="ident">rhs</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="ident">lhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">-</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } }); <span class="macro">impl_assignment_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">AddAssign</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">add_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">vector</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">+</span><span class="op">=</span> <span class="ident">vector</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>);<span class="op">+</span> } }); <span class="macro">impl_assignment_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">SubAssign</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">sub_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">vector</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">-</span><span class="op">=</span> <span class="ident">vector</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>);<span class="op">+</span> } }); <span class="macro">impl_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">Sub</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">sub</span>(<span class="ident">lhs</span>, <span class="ident">rhs</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">VectorN</span>::<span class="ident">new</span>($(<span class="ident">lhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">-</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } }); <span class="macro">impl_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">Mul</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">mul</span>(<span class="ident">point</span>, <span class="ident">scalar</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="ident">point</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">*</span> <span class="ident">scalar</span>),<span class="op">+</span>) } }); <span class="macro">impl_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">Div</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">div</span>(<span class="ident">point</span>, <span class="ident">scalar</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="ident">point</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">/</span> <span class="ident">scalar</span>),<span class="op">+</span>) } }); <span class="macro">impl_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">Rem</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">rem</span>(<span class="ident">point</span>, <span class="ident">scalar</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="ident">point</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">%</span> <span class="ident">scalar</span>),<span class="op">+</span>) } }); <span class="macro">impl_assignment_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">MulAssign</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">mul_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">scalar</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">scalar</span>);<span class="op">+</span> } }); <span class="macro">impl_assignment_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">DivAssign</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">div_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">scalar</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">/</span><span class="op">=</span> <span class="ident">scalar</span>);<span class="op">+</span> } }); <span class="macro">impl_assignment_operator</span><span class="macro">!</span>(<span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">RemAssign</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">rem_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">scalar</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">%</span><span class="op">=</span> <span class="ident">scalar</span>);<span class="op">+</span> } }); <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">ElementWise</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">add_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">+</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">sub_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">-</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">mul_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">*</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">div_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">/</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">rem_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">%</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">add_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">+</span><span class="op">=</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>);<span class="op">+</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">sub_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">-</span><span class="op">=</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>);<span class="op">+</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">mul_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>);<span class="op">+</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">div_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">/</span><span class="op">=</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>);<span class="op">+</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">rem_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">%</span><span class="op">=</span> <span class="ident">rhs</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>);<span class="op">+</span> } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">BaseNum</span><span class="op">></span> <span class="ident">ElementWise</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">add_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">+</span> <span class="ident">rhs</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">sub_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">-</span> <span class="ident">rhs</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">mul_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">*</span> <span class="ident">rhs</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">div_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">/</span> <span class="ident">rhs</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">rem_element_wise</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">%</span> <span class="ident">rhs</span>),<span class="op">+</span>) } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">add_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">+</span><span class="op">=</span> <span class="ident">rhs</span>);<span class="op">+</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">sub_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">-</span><span class="op">=</span> <span class="ident">rhs</span>);<span class="op">+</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">mul_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">rhs</span>);<span class="op">+</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">div_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">/</span><span class="op">=</span> <span class="ident">rhs</span>);<span class="op">+</span> } <span class="attribute">#[<span class="ident">inline</span>]</span> <span class="kw">fn</span> <span class="ident">rem_assign_element_wise</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">S</span>) { $(<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span> <span class="op">%</span><span class="op">=</span> <span class="ident">rhs</span>);<span class="op">+</span> } } <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">u16</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">u32</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">u64</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">isize</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">i8</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">i16</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">i32</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">i64</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">f32</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_scalar_ops</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">f64</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span> }); <span class="macro">impl_index_operators</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">n</span>, <span class="ident">S</span>, <span class="ident">usize</span>); <span class="macro">impl_index_operators</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">n</span>, [<span class="ident">S</span>], <span class="ident">Range</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span>); <span class="macro">impl_index_operators</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">n</span>, [<span class="ident">S</span>], <span class="ident">RangeTo</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span>); <span class="macro">impl_index_operators</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">n</span>, [<span class="ident">S</span>], <span class="ident">RangeFrom</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span>); <span class="macro">impl_index_operators</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">n</span>, [<span class="ident">S</span>], <span class="ident">RangeFull</span>); } } <span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">impl_scalar_ops</span> { (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>:<span class="ident">ident</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span>:<span class="ident">ident</span><span class="op">></span> { $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>:<span class="ident">ident</span>),<span class="op">+</span> }) <span class="op">=</span><span class="op">></span> { <span class="macro">impl_operator</span><span class="macro">!</span>(<span class="ident">Mul</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span> { <span class="kw">fn</span> <span class="ident">mul</span>(<span class="ident">scalar</span>, <span class="ident">point</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="ident">scalar</span> <span class="op">*</span> <span class="ident">point</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } }); <span class="macro">impl_operator</span><span class="macro">!</span>(<span class="ident">Div</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span> { <span class="kw">fn</span> <span class="ident">div</span>(<span class="ident">scalar</span>, <span class="ident">point</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="ident">scalar</span> <span class="op">/</span> <span class="ident">point</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } }); <span class="macro">impl_operator</span><span class="macro">!</span>(<span class="ident">Rem</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span> { <span class="kw">fn</span> <span class="ident">rem</span>(<span class="ident">scalar</span>, <span class="ident">point</span>) <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">S</span><span class="op">></span> { <span class="macro-nonterminal">$</span><span class="macro-nonterminal">PointN</span>::<span class="ident">new</span>($(<span class="ident">scalar</span> <span class="op">%</span> <span class="ident">point</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">field</span>),<span class="op">+</span>) } }); }; } <span class="macro">impl_point</span><span class="macro">!</span>(<span class="ident">Point1</span> { <span class="ident">x</span> }, <span class="ident">Vector1</span>, <span class="number">1</span>); <span class="macro">impl_point</span><span class="macro">!</span>(<span class="ident">Point2</span> { <span class="ident">x</span>, <span class="ident">y</span> }, <span class="ident">Vector2</span>, <span class="number">2</span>); <span class="macro">impl_point</span><span class="macro">!</span>(<span class="ident">Point3</span> { <span class="ident">x</span>, <span class="ident">y</span>, <span class="ident">z</span> }, <span class="ident">Vector3</span>, <span class="number">3</span>); <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">Copy</span><span class="op">></span> <span class="ident">Point1</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro">impl_swizzle_functions</span><span class="macro">!</span>(<span class="ident">Point1</span>, <span class="ident">Point2</span>, <span class="ident">Point3</span>, <span class="ident">S</span>, <span class="ident">x</span>); } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">Copy</span><span class="op">></span> <span class="ident">Point2</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro">impl_swizzle_functions</span><span class="macro">!</span>(<span class="ident">Point1</span>, <span class="ident">Point2</span>, <span class="ident">Point3</span>, <span class="ident">S</span>, <span class="ident">xy</span>); } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">Copy</span><span class="op">></span> <span class="ident">Point3</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="macro">impl_swizzle_functions</span><span class="macro">!</span>(<span class="ident">Point1</span>, <span class="ident">Point2</span>, <span class="ident">Point3</span>, <span class="ident">S</span>, <span class="ident">xyz</span>); } <span class="macro">impl_fixed_array_conversions</span><span class="macro">!</span>(<span class="ident">Point1</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="ident">x</span>: <span class="number">0</span> }, <span class="number">1</span>); <span class="macro">impl_fixed_array_conversions</span><span class="macro">!</span>(<span class="ident">Point2</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="ident">x</span>: <span class="number">0</span>, <span class="ident">y</span>: <span class="number">1</span> }, <span class="number">2</span>); <span class="macro">impl_fixed_array_conversions</span><span class="macro">!</span>(<span class="ident">Point3</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="ident">x</span>: <span class="number">0</span>, <span class="ident">y</span>: <span class="number">1</span>, <span class="ident">z</span>: <span class="number">2</span> }, <span class="number">3</span>); <span class="macro">impl_tuple_conversions</span><span class="macro">!</span>(<span class="ident">Point1</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="ident">x</span> }, (<span class="ident">S</span>,)); <span class="macro">impl_tuple_conversions</span><span class="macro">!</span>(<span class="ident">Point2</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="ident">x</span>, <span class="ident">y</span> }, (<span class="ident">S</span>, <span class="ident">S</span>)); <span class="macro">impl_tuple_conversions</span><span class="macro">!</span>(<span class="ident">Point3</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="ident">x</span>, <span class="ident">y</span>, <span class="ident">z</span> }, (<span class="ident">S</span>, <span class="ident">S</span>, <span class="ident">S</span>)); <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"mint"</span>)]</span> <span class="macro">impl_mint_conversions</span><span class="macro">!</span>(<span class="ident">Point2</span> { <span class="ident">x</span>, <span class="ident">y</span> }, <span class="ident">Point2</span>); <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"mint"</span>)]</span> <span class="macro">impl_mint_conversions</span><span class="macro">!</span>(<span class="ident">Point3</span> { <span class="ident">x</span>, <span class="ident">y</span>, <span class="ident">z</span> }, <span class="ident">Point3</span>); <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">fmt</span>::<span class="ident">Debug</span><span class="op">></span> <span class="ident">fmt</span>::<span class="ident">Debug</span> <span class="kw">for</span> <span class="ident">Point1</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> { <span class="macro">try</span><span class="macro">!</span>(<span class="macro">write</span><span class="macro">!</span>(<span class="ident">f</span>, <span class="string">"Point1 "</span>)); <span class="op"><</span>[<span class="ident">S</span>; <span class="number">1</span>] <span class="kw">as</span> <span class="ident">fmt</span>::<span class="ident">Debug</span><span class="op">></span>::<span class="ident">fmt</span>(<span class="self">self</span>.<span class="ident">as_ref</span>(), <span class="ident">f</span>) } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">fmt</span>::<span class="ident">Debug</span><span class="op">></span> <span class="ident">fmt</span>::<span class="ident">Debug</span> <span class="kw">for</span> <span class="ident">Point2</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> { <span class="macro">try</span><span class="macro">!</span>(<span class="macro">write</span><span class="macro">!</span>(<span class="ident">f</span>, <span class="string">"Point2 "</span>)); <span class="op"><</span>[<span class="ident">S</span>; <span class="number">2</span>] <span class="kw">as</span> <span class="ident">fmt</span>::<span class="ident">Debug</span><span class="op">></span>::<span class="ident">fmt</span>(<span class="self">self</span>.<span class="ident">as_ref</span>(), <span class="ident">f</span>) } } <span class="kw">impl</span><span class="op"><</span><span class="ident">S</span>: <span class="ident">fmt</span>::<span class="ident">Debug</span><span class="op">></span> <span class="ident">fmt</span>::<span class="ident">Debug</span> <span class="kw">for</span> <span class="ident">Point3</span><span class="op"><</span><span class="ident">S</span><span class="op">></span> { <span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> { <span class="macro">try</span><span class="macro">!</span>(<span class="macro">write</span><span class="macro">!</span>(<span class="ident">f</span>, <span class="string">"Point3 "</span>)); <span class="op"><</span>[<span class="ident">S</span>; <span class="number">3</span>] <span class="kw">as</span> <span class="ident">fmt</span>::<span class="ident">Debug</span><span class="op">></span>::<span class="ident">fmt</span>(<span class="self">self</span>.<span class="ident">as_ref</span>(), <span class="ident">f</span>) } } <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span> <span class="kw">mod</span> <span class="ident">tests</span> { <span class="kw">mod</span> <span class="ident">point2</span> { <span class="kw">use</span> <span class="ident">point</span>::<span class="kw-2">*</span>; <span class="kw">const</span> <span class="ident">POINT2</span>: <span class="ident">Point2</span><span class="op"><</span><span class="ident">i32</span><span class="op">></span> <span class="op">=</span> <span class="ident">Point2</span> { <span class="ident">x</span>: <span class="number">1</span>, <span class="ident">y</span>: <span class="number">2</span> }; <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_index</span>() { <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT2</span>[<span class="number">0</span>], <span class="ident">POINT2</span>.<span class="ident">x</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT2</span>[<span class="number">1</span>], <span class="ident">POINT2</span>.<span class="ident">y</span>); } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_index_mut</span>() { <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">p</span> <span class="op">=</span> <span class="ident">POINT2</span>; <span class="kw-2">*</span><span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">p</span>[<span class="number">0</span>] <span class="op">=</span> <span class="number">0</span>; <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, [<span class="number">0</span>, <span class="number">2</span>].<span class="ident">into</span>()); } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="attribute">#[<span class="ident">should_panic</span>]</span> <span class="kw">fn</span> <span class="ident">test_index_out_of_bounds</span>() { <span class="ident">POINT2</span>[<span class="number">2</span>]; } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_index_range</span>() { <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT2</span>[..<span class="number">0</span>], <span class="kw-2">&</span>[]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT2</span>[..<span class="number">1</span>], <span class="kw-2">&</span>[<span class="number">1</span>]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT2</span>[..<span class="number">0</span>].<span class="ident">len</span>(), <span class="number">0</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT2</span>[..<span class="number">1</span>].<span class="ident">len</span>(), <span class="number">1</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT2</span>[<span class="number">2</span>..], <span class="kw-2">&</span>[]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT2</span>[<span class="number">1</span>..], <span class="kw-2">&</span>[<span class="number">2</span>]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT2</span>[<span class="number">2</span>..].<span class="ident">len</span>(), <span class="number">0</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT2</span>[<span class="number">1</span>..].<span class="ident">len</span>(), <span class="number">1</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT2</span>[..], <span class="kw-2">&</span>[<span class="number">1</span>, <span class="number">2</span>]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT2</span>[..].<span class="ident">len</span>(), <span class="number">2</span>); } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_into</span>() { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="ident">POINT2</span>; { <span class="kw">let</span> <span class="ident">p</span>: [<span class="ident">i32</span>; <span class="number">2</span>] <span class="op">=</span> <span class="ident">p</span>.<span class="ident">into</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, [<span class="number">1</span>, <span class="number">2</span>]); } { <span class="kw">let</span> <span class="ident">p</span>: (<span class="ident">i32</span>, <span class="ident">i32</span>) <span class="op">=</span> <span class="ident">p</span>.<span class="ident">into</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, (<span class="number">1</span>, <span class="number">2</span>)); } } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_as_ref</span>() { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="ident">POINT2</span>; { <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span>[<span class="ident">i32</span>; <span class="number">2</span>] <span class="op">=</span> <span class="ident">p</span>.<span class="ident">as_ref</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span>[<span class="number">1</span>, <span class="number">2</span>]); } { <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span>(<span class="ident">i32</span>, <span class="ident">i32</span>) <span class="op">=</span> <span class="ident">p</span>.<span class="ident">as_ref</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span>(<span class="number">1</span>, <span class="number">2</span>)); } } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_as_mut</span>() { <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">p</span> <span class="op">=</span> <span class="ident">POINT2</span>; { <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> [<span class="ident">i32</span>; <span class="number">2</span>] <span class="op">=</span> <span class="ident">p</span>.<span class="ident">as_mut</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> [<span class="number">1</span>, <span class="number">2</span>]); } { <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> (<span class="ident">i32</span>, <span class="ident">i32</span>) <span class="op">=</span> <span class="ident">p</span>.<span class="ident">as_mut</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> (<span class="number">1</span>, <span class="number">2</span>)); } } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_from</span>() { <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Point2</span>::<span class="ident">from</span>([<span class="number">1</span>, <span class="number">2</span>]), <span class="ident">POINT2</span>); { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="kw-2">&</span>[<span class="number">1</span>, <span class="number">2</span>]; <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="ident">Point2</span><span class="op"><</span><span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">p</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="ident">POINT2</span>); } { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">mut</span> [<span class="number">1</span>, <span class="number">2</span>]; <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">Point2</span><span class="op"><</span><span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">p</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="ident">POINT2</span>); } <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Point2</span>::<span class="ident">from</span>((<span class="number">1</span>, <span class="number">2</span>)), <span class="ident">POINT2</span>); { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="kw-2">&</span>(<span class="number">1</span>, <span class="number">2</span>); <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="ident">Point2</span><span class="op"><</span><span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">p</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="ident">POINT2</span>); } { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">mut</span> (<span class="number">1</span>, <span class="number">2</span>); <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">Point2</span><span class="op"><</span><span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">p</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="ident">POINT2</span>); } } } <span class="kw">mod</span> <span class="ident">point3</span> { <span class="kw">use</span> <span class="ident">point</span>::<span class="kw-2">*</span>; <span class="kw">const</span> <span class="ident">POINT3</span>: <span class="ident">Point3</span><span class="op"><</span><span class="ident">i32</span><span class="op">></span> <span class="op">=</span> <span class="ident">Point3</span> { <span class="ident">x</span>: <span class="number">1</span>, <span class="ident">y</span>: <span class="number">2</span>, <span class="ident">z</span>: <span class="number">3</span> }; <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_index</span>() { <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT3</span>[<span class="number">0</span>], <span class="ident">POINT3</span>.<span class="ident">x</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT3</span>[<span class="number">1</span>], <span class="ident">POINT3</span>.<span class="ident">y</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT3</span>[<span class="number">2</span>], <span class="ident">POINT3</span>.<span class="ident">z</span>); } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_index_mut</span>() { <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">p</span> <span class="op">=</span> <span class="ident">POINT3</span>; <span class="kw-2">*</span><span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">p</span>[<span class="number">1</span>] <span class="op">=</span> <span class="number">0</span>; <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, [<span class="number">1</span>, <span class="number">0</span>, <span class="number">3</span>].<span class="ident">into</span>()); } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="attribute">#[<span class="ident">should_panic</span>]</span> <span class="kw">fn</span> <span class="ident">test_index_out_of_bounds</span>() { <span class="ident">POINT3</span>[<span class="number">3</span>]; } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_index_range</span>() { <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT3</span>[..<span class="number">1</span>], <span class="kw-2">&</span>[<span class="number">1</span>]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT3</span>[..<span class="number">2</span>], <span class="kw-2">&</span>[<span class="number">1</span>, <span class="number">2</span>]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT3</span>[..<span class="number">1</span>].<span class="ident">len</span>(), <span class="number">1</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT3</span>[..<span class="number">2</span>].<span class="ident">len</span>(), <span class="number">2</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT3</span>[<span class="number">2</span>..], <span class="kw-2">&</span>[<span class="number">3</span>]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT3</span>[<span class="number">1</span>..], <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">3</span>]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT3</span>[<span class="number">2</span>..].<span class="ident">len</span>(), <span class="number">1</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT3</span>[<span class="number">1</span>..].<span class="ident">len</span>(), <span class="number">2</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="kw-2">&</span><span class="ident">POINT3</span>[..], <span class="kw-2">&</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>]); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">POINT3</span>[..].<span class="ident">len</span>(), <span class="number">3</span>); } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_into</span>() { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="ident">POINT3</span>; { <span class="kw">let</span> <span class="ident">p</span>: [<span class="ident">i32</span>; <span class="number">3</span>] <span class="op">=</span> <span class="ident">p</span>.<span class="ident">into</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, [<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>]); } { <span class="kw">let</span> <span class="ident">p</span>: (<span class="ident">i32</span>, <span class="ident">i32</span>, <span class="ident">i32</span>) <span class="op">=</span> <span class="ident">p</span>.<span class="ident">into</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, (<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>)); } } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_as_ref</span>() { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="ident">POINT3</span>; { <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span>[<span class="ident">i32</span>; <span class="number">3</span>] <span class="op">=</span> <span class="ident">p</span>.<span class="ident">as_ref</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>]); } { <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span>(<span class="ident">i32</span>, <span class="ident">i32</span>, <span class="ident">i32</span>) <span class="op">=</span> <span class="ident">p</span>.<span class="ident">as_ref</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span>(<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>)); } } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_as_mut</span>() { <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">p</span> <span class="op">=</span> <span class="ident">POINT3</span>; { <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> [<span class="ident">i32</span>; <span class="number">3</span>] <span class="op">=</span> <span class="ident">p</span>.<span class="ident">as_mut</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> [<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>]); } { <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> (<span class="ident">i32</span>, <span class="ident">i32</span>, <span class="ident">i32</span>) <span class="op">=</span> <span class="ident">p</span>.<span class="ident">as_mut</span>(); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> (<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>)); } } <span class="attribute">#[<span class="ident">test</span>]</span> <span class="kw">fn</span> <span class="ident">test_from</span>() { <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Point3</span>::<span class="ident">from</span>([<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>]), <span class="ident">POINT3</span>); { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="kw-2">&</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>]; <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="ident">Point3</span><span class="op"><</span><span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">p</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="ident">POINT3</span>); } { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">mut</span> [<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>]; <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">Point3</span><span class="op"><</span><span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">p</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="ident">POINT3</span>); } <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Point3</span>::<span class="ident">from</span>((<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>)), <span class="ident">POINT3</span>); { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="kw-2">&</span>(<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>); <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="ident">Point3</span><span class="op"><</span><span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">p</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="ident">POINT3</span>); } { <span class="kw">let</span> <span class="ident">p</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">mut</span> (<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>); <span class="kw">let</span> <span class="ident">p</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">Point3</span><span class="op"><</span><span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">p</span>); <span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">p</span>, <span class="kw-2">&</span><span class="ident">POINT3</span>); } } } } </pre></div> </section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help 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