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cosmic/widget/canvas/path/lyon_path/geom/utils/fn.cubic_polynomial_roots.html Normal file
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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="API documentation for the Rust `cubic_polynomial_roots` fn in crate `cosmic`."><title>cubic_polynomial_roots in cosmic::widget::canvas::path::lyon_path::geom::utils - Rust</title><script>if(window.location.protocol!=="file:")document.head.insertAdjacentHTML("beforeend","SourceSerif4-Regular-6b053e98.ttf.woff2,FiraSans-Italic-81dc35de.woff2,FiraSans-Regular-0fe48ade.woff2,FiraSans-MediumItalic-ccf7e434.woff2,FiraSans-Medium-e1aa3f0a.woff2,SourceCodePro-Regular-8badfe75.ttf.woff2,SourceCodePro-Semibold-aa29a496.ttf.woff2".split(",").map(f=>`<link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../../../static.files/${f}">`).join(""))</script><link rel="stylesheet" href="../../../../../../../static.files/normalize-9960930a.css"><link rel="stylesheet" href="../../../../../../../static.files/rustdoc-aa0817cf.css"><meta name="rustdoc-vars" data-root-path="../../../../../../../" data-static-root-path="../../../../../../../static.files/" data-current-crate="cosmic" data-themes="" data-resource-suffix="" data-rustdoc-version="1.90.0-nightly (3048886e5 2025-07-30)" data-channel="nightly" data-search-js="search-fa3e91e5.js" data-settings-js="settings-5514c975.js" ><script src="../../../../../../../static.files/storage-68b7e25d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../../../../static.files/main-eebb9057.js"></script><noscript><link rel="stylesheet" href="../../../../../../../static.files/noscript-32bb7600.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../../../../static.files/favicon-32x32-6580c154.png"><link rel="icon" type="image/svg+xml" href="../../../../../../../static.files/favicon-044be391.svg"></head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../../../../cosmic/index.html">cosmic</a><span class="version">1.0.0</span></h2></div><div class="sidebar-elems"><div id="rustdoc-modnav"><h2><a href="index.html">In cosmic::<wbr>widget::<wbr>canvas::<wbr>path::<wbr>lyon_<wbr>path::<wbr>geom::<wbr>utils</a></h2></div></div></nav><div class="sidebar-resizer" title="Drag to resize sidebar"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><div class="rustdoc-breadcrumbs"><a href="../../../../../../index.html">cosmic</a>::<wbr><a href="../../../../../index.html">widget</a>::<wbr><a href="../../../../index.html">canvas</a>::<wbr><a href="../../../index.html">path</a>::<wbr><a href="../../index.html">lyon_path</a>::<wbr><a href="../index.html">geom</a>::<wbr><a href="index.html">utils</a></div><h1>Function <span class="fn">cubic_polynomial_roots</span><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><rustdoc-toolbar></rustdoc-toolbar><span class="sub-heading"></span></div><pre class="rust item-decl"><code>pub fn cubic_polynomial_roots&lt;S&gt;(a: S, b: S, c: S, d: S) -&gt; <a class="struct" href="../arrayvec/struct.ArrayVec.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::arrayvec::ArrayVec">ArrayVec</a>&lt;S, 3&gt;<div class="where">where
S: <a class="trait" href="../trait.Scalar.html" title="trait cosmic::widget::canvas::path::lyon_path::geom::Scalar">Scalar</a>,</div></code></pre></section></div></main></body></html>

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cosmic/widget/canvas/path/lyon_path/geom/utils/fn.directed_angle.html Normal file
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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Angle between vectors v1 and v2 (oriented clockwise assuming y points downwards). The result is a number between `0` and `2 * PI`."><title>directed_angle in cosmic::widget::canvas::path::lyon_path::geom::utils - Rust</title><script>if(window.location.protocol!=="file:")document.head.insertAdjacentHTML("beforeend","SourceSerif4-Regular-6b053e98.ttf.woff2,FiraSans-Italic-81dc35de.woff2,FiraSans-Regular-0fe48ade.woff2,FiraSans-MediumItalic-ccf7e434.woff2,FiraSans-Medium-e1aa3f0a.woff2,SourceCodePro-Regular-8badfe75.ttf.woff2,SourceCodePro-Semibold-aa29a496.ttf.woff2".split(",").map(f=>`<link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../../../static.files/${f}">`).join(""))</script><link rel="stylesheet" href="../../../../../../../static.files/normalize-9960930a.css"><link rel="stylesheet" href="../../../../../../../static.files/rustdoc-aa0817cf.css"><meta name="rustdoc-vars" data-root-path="../../../../../../../" data-static-root-path="../../../../../../../static.files/" data-current-crate="cosmic" data-themes="" data-resource-suffix="" data-rustdoc-version="1.90.0-nightly (3048886e5 2025-07-30)" data-channel="nightly" data-search-js="search-fa3e91e5.js" data-settings-js="settings-5514c975.js" ><script src="../../../../../../../static.files/storage-68b7e25d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../../../../static.files/main-eebb9057.js"></script><noscript><link rel="stylesheet" href="../../../../../../../static.files/noscript-32bb7600.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../../../../static.files/favicon-32x32-6580c154.png"><link rel="icon" type="image/svg+xml" href="../../../../../../../static.files/favicon-044be391.svg"></head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../../../../cosmic/index.html">cosmic</a><span class="version">1.0.0</span></h2></div><div class="sidebar-elems"><div id="rustdoc-modnav"><h2><a href="index.html">In cosmic::<wbr>widget::<wbr>canvas::<wbr>path::<wbr>lyon_<wbr>path::<wbr>geom::<wbr>utils</a></h2></div></div></nav><div class="sidebar-resizer" title="Drag to resize sidebar"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><div class="rustdoc-breadcrumbs"><a href="../../../../../../index.html">cosmic</a>::<wbr><a href="../../../../../index.html">widget</a>::<wbr><a href="../../../../index.html">canvas</a>::<wbr><a href="../../../index.html">path</a>::<wbr><a href="../../index.html">lyon_path</a>::<wbr><a href="../index.html">geom</a>::<wbr><a href="index.html">utils</a></div><h1>Function <span class="fn">directed_angle</span><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><rustdoc-toolbar></rustdoc-toolbar><span class="sub-heading"></span></div><pre class="rust item-decl"><code>pub fn directed_angle&lt;S&gt;(
v1: <a class="struct" href="../euclid/struct.Vector2D.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::Vector2D">Vector2D</a>&lt;S, <a class="struct" href="../euclid/struct.UnknownUnit.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::UnknownUnit">UnknownUnit</a>&gt;,
v2: <a class="struct" href="../euclid/struct.Vector2D.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::Vector2D">Vector2D</a>&lt;S, <a class="struct" href="../euclid/struct.UnknownUnit.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::UnknownUnit">UnknownUnit</a>&gt;,
) -&gt; S<div class="where">where
S: <a class="trait" href="../trait.Scalar.html" title="trait cosmic::widget::canvas::path::lyon_path::geom::Scalar">Scalar</a>,</div></code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Angle between vectors v1 and v2 (oriented clockwise assuming y points downwards).
The result is a number between <code>0</code> and <code>2 * PI</code>.</p>
<p>ex: <code>directed_angle([0,1], [1,0]) = 3/2 Pi rad</code></p>
<div class="example-wrap"><pre class="language-text"><code> x __
0--&gt; / \
y| | x--&gt; v2
v \ |v1
v</code></pre></div>
<p>Or, assuming y points upwards:
<code>directed_angle([0,-1], [1,0]) = 1/2 Pi rad</code></p>
<div class="example-wrap"><pre class="language-text"><code> ^ v2
y| x--&gt;
0--&gt; v1 | /
x v-</code></pre></div></div></details></section></div></main></body></html>

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cosmic/widget/canvas/path/lyon_path/geom/utils/fn.directed_angle2.html Normal file
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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="API documentation for the Rust `directed_angle2` fn in crate `cosmic`."><title>directed_angle2 in cosmic::widget::canvas::path::lyon_path::geom::utils - Rust</title><script>if(window.location.protocol!=="file:")document.head.insertAdjacentHTML("beforeend","SourceSerif4-Regular-6b053e98.ttf.woff2,FiraSans-Italic-81dc35de.woff2,FiraSans-Regular-0fe48ade.woff2,FiraSans-MediumItalic-ccf7e434.woff2,FiraSans-Medium-e1aa3f0a.woff2,SourceCodePro-Regular-8badfe75.ttf.woff2,SourceCodePro-Semibold-aa29a496.ttf.woff2".split(",").map(f=>`<link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../../../static.files/${f}">`).join(""))</script><link rel="stylesheet" href="../../../../../../../static.files/normalize-9960930a.css"><link rel="stylesheet" href="../../../../../../../static.files/rustdoc-aa0817cf.css"><meta name="rustdoc-vars" data-root-path="../../../../../../../" data-static-root-path="../../../../../../../static.files/" data-current-crate="cosmic" data-themes="" data-resource-suffix="" data-rustdoc-version="1.90.0-nightly (3048886e5 2025-07-30)" data-channel="nightly" data-search-js="search-fa3e91e5.js" data-settings-js="settings-5514c975.js" ><script src="../../../../../../../static.files/storage-68b7e25d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../../../../static.files/main-eebb9057.js"></script><noscript><link rel="stylesheet" href="../../../../../../../static.files/noscript-32bb7600.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../../../../static.files/favicon-32x32-6580c154.png"><link rel="icon" type="image/svg+xml" href="../../../../../../../static.files/favicon-044be391.svg"></head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../../../../cosmic/index.html">cosmic</a><span class="version">1.0.0</span></h2></div><div class="sidebar-elems"><div id="rustdoc-modnav"><h2><a href="index.html">In cosmic::<wbr>widget::<wbr>canvas::<wbr>path::<wbr>lyon_<wbr>path::<wbr>geom::<wbr>utils</a></h2></div></div></nav><div class="sidebar-resizer" title="Drag to resize sidebar"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><div class="rustdoc-breadcrumbs"><a href="../../../../../../index.html">cosmic</a>::<wbr><a href="../../../../../index.html">widget</a>::<wbr><a href="../../../../index.html">canvas</a>::<wbr><a href="../../../index.html">path</a>::<wbr><a href="../../index.html">lyon_path</a>::<wbr><a href="../index.html">geom</a>::<wbr><a href="index.html">utils</a></div><h1>Function <span class="fn">directed_angle2</span><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><rustdoc-toolbar></rustdoc-toolbar><span class="sub-heading"></span></div><pre class="rust item-decl"><code>pub fn directed_angle2&lt;S&gt;(
center: <a class="struct" href="../euclid/struct.Point2D.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::Point2D">Point2D</a>&lt;S, <a class="struct" href="../euclid/struct.UnknownUnit.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::UnknownUnit">UnknownUnit</a>&gt;,
a: <a class="struct" href="../euclid/struct.Point2D.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::Point2D">Point2D</a>&lt;S, <a class="struct" href="../euclid/struct.UnknownUnit.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::UnknownUnit">UnknownUnit</a>&gt;,
b: <a class="struct" href="../euclid/struct.Point2D.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::Point2D">Point2D</a>&lt;S, <a class="struct" href="../euclid/struct.UnknownUnit.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::UnknownUnit">UnknownUnit</a>&gt;,
) -&gt; S<div class="where">where
S: <a class="trait" href="../trait.Scalar.html" title="trait cosmic::widget::canvas::path::lyon_path::geom::Scalar">Scalar</a>,</div></code></pre></section></div></main></body></html>

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cosmic/widget/canvas/path/lyon_path/geom/utils/fn.min_max.html Normal file
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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="API documentation for the Rust `min_max` fn in crate `cosmic`."><title>min_max in cosmic::widget::canvas::path::lyon_path::geom::utils - Rust</title><script>if(window.location.protocol!=="file:")document.head.insertAdjacentHTML("beforeend","SourceSerif4-Regular-6b053e98.ttf.woff2,FiraSans-Italic-81dc35de.woff2,FiraSans-Regular-0fe48ade.woff2,FiraSans-MediumItalic-ccf7e434.woff2,FiraSans-Medium-e1aa3f0a.woff2,SourceCodePro-Regular-8badfe75.ttf.woff2,SourceCodePro-Semibold-aa29a496.ttf.woff2".split(",").map(f=>`<link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../../../static.files/${f}">`).join(""))</script><link rel="stylesheet" href="../../../../../../../static.files/normalize-9960930a.css"><link rel="stylesheet" href="../../../../../../../static.files/rustdoc-aa0817cf.css"><meta name="rustdoc-vars" data-root-path="../../../../../../../" data-static-root-path="../../../../../../../static.files/" data-current-crate="cosmic" data-themes="" data-resource-suffix="" data-rustdoc-version="1.90.0-nightly (3048886e5 2025-07-30)" data-channel="nightly" data-search-js="search-fa3e91e5.js" data-settings-js="settings-5514c975.js" ><script src="../../../../../../../static.files/storage-68b7e25d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../../../../static.files/main-eebb9057.js"></script><noscript><link rel="stylesheet" href="../../../../../../../static.files/noscript-32bb7600.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../../../../static.files/favicon-32x32-6580c154.png"><link rel="icon" type="image/svg+xml" href="../../../../../../../static.files/favicon-044be391.svg"></head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../../../../cosmic/index.html">cosmic</a><span class="version">1.0.0</span></h2></div><div class="sidebar-elems"><div id="rustdoc-modnav"><h2><a href="index.html">In cosmic::<wbr>widget::<wbr>canvas::<wbr>path::<wbr>lyon_<wbr>path::<wbr>geom::<wbr>utils</a></h2></div></div></nav><div class="sidebar-resizer" title="Drag to resize sidebar"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><div class="rustdoc-breadcrumbs"><a href="../../../../../../index.html">cosmic</a>::<wbr><a href="../../../../../index.html">widget</a>::<wbr><a href="../../../../index.html">canvas</a>::<wbr><a href="../../../index.html">path</a>::<wbr><a href="../../index.html">lyon_path</a>::<wbr><a href="../index.html">geom</a>::<wbr><a href="index.html">utils</a></div><h1>Function <span class="fn">min_max</span><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><rustdoc-toolbar></rustdoc-toolbar><span class="sub-heading"></span></div><pre class="rust item-decl"><code>pub fn min_max&lt;S&gt;(a: S, b: S) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(S, S)</a><div class="where">where
S: <a class="trait" href="https://docs.rs/num-traits/0.2/num_traits/float/trait.Float.html" title="trait num_traits::float::Float">Float</a>,</div></code></pre></section></div></main></body></html>

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cosmic/widget/canvas/path/lyon_path/geom/utils/fn.normalized_tangent.html Normal file
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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="API documentation for the Rust `normalized_tangent` fn in crate `cosmic`."><title>normalized_tangent in cosmic::widget::canvas::path::lyon_path::geom::utils - Rust</title><script>if(window.location.protocol!=="file:")document.head.insertAdjacentHTML("beforeend","SourceSerif4-Regular-6b053e98.ttf.woff2,FiraSans-Italic-81dc35de.woff2,FiraSans-Regular-0fe48ade.woff2,FiraSans-MediumItalic-ccf7e434.woff2,FiraSans-Medium-e1aa3f0a.woff2,SourceCodePro-Regular-8badfe75.ttf.woff2,SourceCodePro-Semibold-aa29a496.ttf.woff2".split(",").map(f=>`<link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../../../static.files/${f}">`).join(""))</script><link rel="stylesheet" href="../../../../../../../static.files/normalize-9960930a.css"><link rel="stylesheet" href="../../../../../../../static.files/rustdoc-aa0817cf.css"><meta name="rustdoc-vars" data-root-path="../../../../../../../" data-static-root-path="../../../../../../../static.files/" data-current-crate="cosmic" data-themes="" data-resource-suffix="" data-rustdoc-version="1.90.0-nightly (3048886e5 2025-07-30)" data-channel="nightly" data-search-js="search-fa3e91e5.js" data-settings-js="settings-5514c975.js" ><script src="../../../../../../../static.files/storage-68b7e25d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../../../../static.files/main-eebb9057.js"></script><noscript><link rel="stylesheet" href="../../../../../../../static.files/noscript-32bb7600.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../../../../static.files/favicon-32x32-6580c154.png"><link rel="icon" type="image/svg+xml" href="../../../../../../../static.files/favicon-044be391.svg"></head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../../../../cosmic/index.html">cosmic</a><span class="version">1.0.0</span></h2></div><div class="sidebar-elems"><div id="rustdoc-modnav"><h2><a href="index.html">In cosmic::<wbr>widget::<wbr>canvas::<wbr>path::<wbr>lyon_<wbr>path::<wbr>geom::<wbr>utils</a></h2></div></div></nav><div class="sidebar-resizer" title="Drag to resize sidebar"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><div class="rustdoc-breadcrumbs"><a href="../../../../../../index.html">cosmic</a>::<wbr><a href="../../../../../index.html">widget</a>::<wbr><a href="../../../../index.html">canvas</a>::<wbr><a href="../../../index.html">path</a>::<wbr><a href="../../index.html">lyon_path</a>::<wbr><a href="../index.html">geom</a>::<wbr><a href="index.html">utils</a></div><h1>Function <span class="fn">normalized_tangent</span><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><rustdoc-toolbar></rustdoc-toolbar><span class="sub-heading"></span></div><pre class="rust item-decl"><code>pub fn normalized_tangent&lt;S&gt;(
v: <a class="struct" href="../euclid/struct.Vector2D.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::Vector2D">Vector2D</a>&lt;S, <a class="struct" href="../euclid/struct.UnknownUnit.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::UnknownUnit">UnknownUnit</a>&gt;,
) -&gt; <a class="struct" href="../euclid/struct.Vector2D.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::Vector2D">Vector2D</a>&lt;S, <a class="struct" href="../euclid/struct.UnknownUnit.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::UnknownUnit">UnknownUnit</a>&gt;<div class="where">where
S: <a class="trait" href="../trait.Scalar.html" title="trait cosmic::widget::canvas::path::lyon_path::geom::Scalar">Scalar</a>,</div></code></pre></section></div></main></body></html>

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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="API documentation for the Rust `tangent` fn in crate `cosmic`."><title>tangent in cosmic::widget::canvas::path::lyon_path::geom::utils - Rust</title><script>if(window.location.protocol!=="file:")document.head.insertAdjacentHTML("beforeend","SourceSerif4-Regular-6b053e98.ttf.woff2,FiraSans-Italic-81dc35de.woff2,FiraSans-Regular-0fe48ade.woff2,FiraSans-MediumItalic-ccf7e434.woff2,FiraSans-Medium-e1aa3f0a.woff2,SourceCodePro-Regular-8badfe75.ttf.woff2,SourceCodePro-Semibold-aa29a496.ttf.woff2".split(",").map(f=>`<link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../../../static.files/${f}">`).join(""))</script><link rel="stylesheet" href="../../../../../../../static.files/normalize-9960930a.css"><link rel="stylesheet" href="../../../../../../../static.files/rustdoc-aa0817cf.css"><meta name="rustdoc-vars" data-root-path="../../../../../../../" data-static-root-path="../../../../../../../static.files/" data-current-crate="cosmic" data-themes="" data-resource-suffix="" data-rustdoc-version="1.90.0-nightly (3048886e5 2025-07-30)" data-channel="nightly" data-search-js="search-fa3e91e5.js" data-settings-js="settings-5514c975.js" ><script src="../../../../../../../static.files/storage-68b7e25d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../../../../static.files/main-eebb9057.js"></script><noscript><link rel="stylesheet" href="../../../../../../../static.files/noscript-32bb7600.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../../../../static.files/favicon-32x32-6580c154.png"><link rel="icon" type="image/svg+xml" href="../../../../../../../static.files/favicon-044be391.svg"></head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../../../../cosmic/index.html">cosmic</a><span class="version">1.0.0</span></h2></div><div class="sidebar-elems"><div id="rustdoc-modnav"><h2><a href="index.html">In cosmic::<wbr>widget::<wbr>canvas::<wbr>path::<wbr>lyon_<wbr>path::<wbr>geom::<wbr>utils</a></h2></div></div></nav><div class="sidebar-resizer" title="Drag to resize sidebar"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><div class="rustdoc-breadcrumbs"><a href="../../../../../../index.html">cosmic</a>::<wbr><a href="../../../../../index.html">widget</a>::<wbr><a href="../../../../index.html">canvas</a>::<wbr><a href="../../../index.html">path</a>::<wbr><a href="../../index.html">lyon_path</a>::<wbr><a href="../index.html">geom</a>::<wbr><a href="index.html">utils</a></div><h1>Function <span class="fn">tangent</span><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><rustdoc-toolbar></rustdoc-toolbar><span class="sub-heading"></span></div><pre class="rust item-decl"><code>pub fn tangent&lt;S&gt;(v: <a class="struct" href="../euclid/struct.Vector2D.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::Vector2D">Vector2D</a>&lt;S, <a class="struct" href="../euclid/struct.UnknownUnit.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::UnknownUnit">UnknownUnit</a>&gt;) -&gt; <a class="struct" href="../euclid/struct.Vector2D.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::Vector2D">Vector2D</a>&lt;S, <a class="struct" href="../euclid/struct.UnknownUnit.html" title="struct cosmic::widget::canvas::path::lyon_path::geom::euclid::UnknownUnit">UnknownUnit</a>&gt;<div class="where">where
S: <a class="trait" href="https://docs.rs/num-traits/0.2/num_traits/float/trait.Float.html" title="trait num_traits::float::Float">Float</a>,</div></code></pre></section></div></main></body></html>

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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="API documentation for the Rust `utils` mod in crate `cosmic`."><title>cosmic::widget::canvas::path::lyon_path::geom::utils - Rust</title><script>if(window.location.protocol!=="file:")document.head.insertAdjacentHTML("beforeend","SourceSerif4-Regular-6b053e98.ttf.woff2,FiraSans-Italic-81dc35de.woff2,FiraSans-Regular-0fe48ade.woff2,FiraSans-MediumItalic-ccf7e434.woff2,FiraSans-Medium-e1aa3f0a.woff2,SourceCodePro-Regular-8badfe75.ttf.woff2,SourceCodePro-Semibold-aa29a496.ttf.woff2".split(",").map(f=>`<link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../../../static.files/${f}">`).join(""))</script><link rel="stylesheet" href="../../../../../../../static.files/normalize-9960930a.css"><link rel="stylesheet" href="../../../../../../../static.files/rustdoc-aa0817cf.css"><meta name="rustdoc-vars" data-root-path="../../../../../../../" data-static-root-path="../../../../../../../static.files/" data-current-crate="cosmic" data-themes="" data-resource-suffix="" data-rustdoc-version="1.90.0-nightly (3048886e5 2025-07-30)" data-channel="nightly" data-search-js="search-fa3e91e5.js" data-settings-js="settings-5514c975.js" ><script src="../../../../../../../static.files/storage-68b7e25d.js"></script><script defer src="../sidebar-items.js"></script><script defer src="../../../../../../../static.files/main-eebb9057.js"></script><noscript><link rel="stylesheet" href="../../../../../../../static.files/noscript-32bb7600.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../../../../static.files/favicon-32x32-6580c154.png"><link rel="icon" type="image/svg+xml" href="../../../../../../../static.files/favicon-044be391.svg"></head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../../../../cosmic/index.html">cosmic</a><span class="version">1.0.0</span></h2></div><div class="sidebar-elems"><section id="rustdoc-toc"><h2 class="location"><a href="#">Module utils</a></h2><h3><a href="#functions">Module Items</a></h3><ul class="block"><li><a href="#functions" title="Functions">Functions</a></li></ul></section><div id="rustdoc-modnav"><h2><a href="../index.html">In cosmic::<wbr>widget::<wbr>canvas::<wbr>path::<wbr>lyon_<wbr>path::<wbr>geom</a></h2></div></div></nav><div class="sidebar-resizer" title="Drag to resize sidebar"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><div class="rustdoc-breadcrumbs"><a href="../../../../../../index.html">cosmic</a>::<wbr><a href="../../../../../index.html">widget</a>::<wbr><a href="../../../../index.html">canvas</a>::<wbr><a href="../../../index.html">path</a>::<wbr><a href="../../index.html">lyon_path</a>::<wbr><a href="../index.html">geom</a></div><h1>Module <span>utils</span><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><rustdoc-toolbar></rustdoc-toolbar><span class="sub-heading"></span></div><h2 id="functions" class="section-header">Functions<a href="#functions" class="anchor">§</a></h2><dl class="item-table"><dt><a class="fn" href="fn.cubic_polynomial_roots.html" title="fn cosmic::widget::canvas::path::lyon_path::geom::utils::cubic_polynomial_roots">cubic_<wbr>polynomial_<wbr>roots</a></dt><dt><a class="fn" href="fn.directed_angle.html" title="fn cosmic::widget::canvas::path::lyon_path::geom::utils::directed_angle">directed_<wbr>angle</a></dt><dd>Angle between vectors v1 and v2 (oriented clockwise assuming y points downwards).
The result is a number between <code>0</code> and <code>2 * PI</code>.</dd><dt><a class="fn" href="fn.directed_angle2.html" title="fn cosmic::widget::canvas::path::lyon_path::geom::utils::directed_angle2">directed_<wbr>angle2</a></dt><dt><a class="fn" href="fn.min_max.html" title="fn cosmic::widget::canvas::path::lyon_path::geom::utils::min_max">min_max</a></dt><dt><a class="fn" href="fn.normalized_tangent.html" title="fn cosmic::widget::canvas::path::lyon_path::geom::utils::normalized_tangent">normalized_<wbr>tangent</a></dt><dt><a class="fn" href="fn.tangent.html" title="fn cosmic::widget::canvas::path::lyon_path::geom::utils::tangent">tangent</a></dt></dl></section></div></main></body></html>

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