HiNC-2025-win-desktop-Deploy/App/wwwroot/HiAPI-docsite/api/Hi.Geom.Solvers.BinarySolverUtil.html
2025-07-18 15:38:28 +08:00

421 lines
20 KiB
HTML

<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>Class BinarySolverUtil | HiAPI-C# 2025 </title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="title" content="Class BinarySolverUtil | HiAPI-C# 2025 ">
<meta name="description" content="Utility class providing binary solving methods for one-dimensional functions.">
<link rel="icon" href="../img/HiAPI.favicon.ico">
<link rel="stylesheet" href="../public/docfx.min.css">
<link rel="stylesheet" href="../public/main.css">
<meta name="docfx:navrel" content="../toc.html">
<meta name="docfx:tocrel" content="toc.html">
<meta name="docfx:rel" content="../">
<meta name="loc:inThisArticle" content="In this article">
<meta name="loc:searchResultsCount" content="{count} results for &quot;{query}&quot;">
<meta name="loc:searchNoResults" content="No results for &quot;{query}&quot;">
<meta name="loc:tocFilter" content="Filter by title">
<meta name="loc:nextArticle" content="Next">
<meta name="loc:prevArticle" content="Previous">
<meta name="loc:themeLight" content="Light">
<meta name="loc:themeDark" content="Dark">
<meta name="loc:themeAuto" content="Auto">
<meta name="loc:changeTheme" content="Change theme">
<meta name="loc:copy" content="Copy">
<meta name="loc:downloadPdf" content="Download PDF">
<script type="module" src="./../public/docfx.min.js"></script>
<script>
const theme = localStorage.getItem('theme') || 'auto'
document.documentElement.setAttribute('data-bs-theme', theme === 'auto' ? (window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light') : theme)
</script>
</head>
<body class="tex2jax_ignore" data-layout="" data-yaml-mime="ManagedReference">
<header class="bg-body border-bottom">
<nav id="autocollapse" class="navbar navbar-expand-md" role="navigation">
<div class="container-xxl flex-nowrap">
<a class="navbar-brand" href="../index.html">
<img id="logo" class="svg" src="../img/HiAPI.logo.png" alt="">
</a>
<button class="btn btn-lg d-md-none border-0" type="button" data-bs-toggle="collapse" data-bs-target="#navpanel" aria-controls="navpanel" aria-expanded="false" aria-label="Toggle navigation">
<i class="bi bi-three-dots"></i>
</button>
<div class="collapse navbar-collapse" id="navpanel">
<div id="navbar">
<form class="search" role="search" id="search">
<i class="bi bi-search"></i>
<input class="form-control" id="search-query" type="search" disabled placeholder="Search" autocomplete="off" aria-label="Search">
</form>
</div>
</div>
</div>
</nav>
</header>
<main class="container-xxl">
<div class="toc-offcanvas">
<div class="offcanvas-md offcanvas-start" tabindex="-1" id="tocOffcanvas" aria-labelledby="tocOffcanvasLabel">
<div class="offcanvas-header">
<h5 class="offcanvas-title" id="tocOffcanvasLabel">Table of Contents</h5>
<button type="button" class="btn-close" data-bs-dismiss="offcanvas" data-bs-target="#tocOffcanvas" aria-label="Close"></button>
</div>
<div class="offcanvas-body">
<nav class="toc" id="toc"></nav>
</div>
</div>
</div>
<div class="content">
<div class="actionbar">
<button class="btn btn-lg border-0 d-md-none" type="button" data-bs-toggle="offcanvas" data-bs-target="#tocOffcanvas" aria-controls="tocOffcanvas" aria-expanded="false" aria-label="Show table of contents">
<i class="bi bi-list"></i>
</button>
<nav id="breadcrumb"></nav>
</div>
<article data-uid="Hi.Geom.Solvers.BinarySolverUtil">
<h1 id="Hi_Geom_Solvers_BinarySolverUtil" data-uid="Hi.Geom.Solvers.BinarySolverUtil" class="text-break">
Class BinarySolverUtil
</h1>
<div class="facts text-secondary">
<dl><dt>Namespace</dt><dd><a class="xref" href="Hi.html">Hi</a>.<a class="xref" href="Hi.Geom.html">Geom</a>.<a class="xref" href="Hi.Geom.Solvers.html">Solvers</a></dd></dl>
<dl><dt>Assembly</dt><dd>HiGeom.dll</dd></dl>
</div>
<div class="markdown summary"><p>Utility class providing binary solving methods for one-dimensional functions.</p>
</div>
<div class="markdown conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static class BinarySolverUtil</code></pre>
</div>
<dl class="typelist inheritance">
<dt>Inheritance</dt>
<dd>
<div><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a></div>
<div><span class="xref">BinarySolverUtil</span></div>
</dd>
</dl>
<dl class="typelist inheritedMembers">
<dt>Inherited Members</dt>
<dd>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object)">object.Equals(object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object-system-object)">object.Equals(object, object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gethashcode">object.GetHashCode()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gettype">object.GetType()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.memberwiseclone">object.MemberwiseClone()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.referenceequals">object.ReferenceEquals(object, object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.tostring">object.ToString()</a>
</div>
</dd></dl>
<h2 class="section" id="methods">Methods
</h2>
<a id="Hi_Geom_Solvers_BinarySolverUtil_CenterSplitionSolve_" data-uid="Hi.Geom.Solvers.BinarySolverUtil.CenterSplitionSolve*"></a>
<h3 id="Hi_Geom_Solvers_BinarySolverUtil_CenterSplitionSolve_System_Func_System_Double_System_Double__System_Double_System_Double_System_Double_System_Double_System_Double_System_Func_System_Double_System_Boolean__System_Int32_" data-uid="Hi.Geom.Solvers.BinarySolverUtil.CenterSplitionSolve(System.Func{System.Double,System.Double},System.Double,System.Double,System.Double,System.Double,System.Double,System.Func{System.Double,System.Boolean},System.Int32)">
CenterSplitionSolve(Func&lt;double, double&gt;, double, double, double, double, double, Func&lt;double, bool&gt;, int)
</h3>
<div class="markdown level1 summary"><p>Solves for a target y-value using the center splitting method.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static IEnumerable&lt;BinarySolvingStatus&gt; CenterSplitionSolve(Func&lt;double, double&gt; func, double x0, double y0, double x1, double yTarget, double convergenceLimit, Func&lt;double, bool&gt; isYAcceptableFunc, int maxIteration = 12)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>func</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.func-2">Func</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>, <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</dt>
<dd><p>The function to solve</p>
</dd>
<dt><code>x0</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Initial x value</p>
</dd>
<dt><code>y0</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Initial y value (func(x0))</p>
</dd>
<dt><code>x1</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Second x value</p>
</dd>
<dt><code>yTarget</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Target y value to solve for</p>
</dd>
<dt><code>convergenceLimit</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Convergence limit (acceptable error)</p>
</dd>
<dt><code>isYAcceptableFunc</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.func-2">Func</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>, <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">bool</a>&gt;</dt>
<dd><p>Function to determine if a y value is acceptable</p>
</dd>
<dt><code>maxIteration</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
<dd><p>Maximum number of iterations</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a>&lt;<a class="xref" href="Hi.Geom.Solvers.BinarySolvingStatus.html">BinarySolvingStatus</a>&gt;</dt>
<dd><p>A sequence of solving status objects showing the progress of the solution</p>
</dd>
</dl>
<a id="Hi_Geom_Solvers_BinarySolverUtil_CenterSplitionSolveWithY1_" data-uid="Hi.Geom.Solvers.BinarySolverUtil.CenterSplitionSolveWithY1*"></a>
<h3 id="Hi_Geom_Solvers_BinarySolverUtil_CenterSplitionSolveWithY1_System_Func_System_Double_System_Double__System_Double_System_Double_System_Double_System_Double_System_Double_System_Double_System_Func_System_Double_System_Boolean__System_Int32_" data-uid="Hi.Geom.Solvers.BinarySolverUtil.CenterSplitionSolveWithY1(System.Func{System.Double,System.Double},System.Double,System.Double,System.Double,System.Double,System.Double,System.Double,System.Func{System.Double,System.Boolean},System.Int32)">
CenterSplitionSolveWithY1(Func&lt;double, double&gt;, double, double, double, double, double, double, Func&lt;double, bool&gt;, int)
</h3>
<div class="markdown level1 summary"><p>Solves for a target y-value using the center splitting method with a pre-calculated y1 value.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static IEnumerable&lt;BinarySolvingStatus&gt; CenterSplitionSolveWithY1(Func&lt;double, double&gt; func, double x0, double y0, double x1, double y1, double yTarget, double convergenceLimit, Func&lt;double, bool&gt; isYAcceptableFunc, int maxIteration = 12)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>func</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.func-2">Func</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>, <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</dt>
<dd><p>The function to solve</p>
</dd>
<dt><code>x0</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Initial x value</p>
</dd>
<dt><code>y0</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Initial y value (func(x0))</p>
</dd>
<dt><code>x1</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Second x value</p>
</dd>
<dt><code>y1</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Second y value (func(x1))</p>
</dd>
<dt><code>yTarget</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Target y value to solve for</p>
</dd>
<dt><code>convergenceLimit</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Convergence limit (acceptable error)</p>
</dd>
<dt><code>isYAcceptableFunc</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.func-2">Func</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>, <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">bool</a>&gt;</dt>
<dd><p>Function to determine if a y value is acceptable</p>
</dd>
<dt><code>maxIteration</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
<dd><p>Maximum number of iterations</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a>&lt;<a class="xref" href="Hi.Geom.Solvers.BinarySolvingStatus.html">BinarySolvingStatus</a>&gt;</dt>
<dd><p>A sequence of solving status objects showing the progress of the solution</p>
</dd>
</dl>
<a id="Hi_Geom_Solvers_BinarySolverUtil_SlopeSolve_" data-uid="Hi.Geom.Solvers.BinarySolverUtil.SlopeSolve*"></a>
<h3 id="Hi_Geom_Solvers_BinarySolverUtil_SlopeSolve_System_Func_System_Double_System_Double__System_Double_System_Double_System_Double_System_Double_System_Double_System_Int32_" data-uid="Hi.Geom.Solvers.BinarySolverUtil.SlopeSolve(System.Func{System.Double,System.Double},System.Double,System.Double,System.Double,System.Double,System.Double,System.Int32)">
SlopeSolve(Func&lt;double, double&gt;, double, double, double, double, double, int)
</h3>
<div class="markdown level1 summary"><p>Solves for a target y-value using the slope method.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static IEnumerable&lt;BinarySolvingStatus&gt; SlopeSolve(Func&lt;double, double&gt; func, double x0, double y0, double x1, double yTarget, double convergenceLimit, int maxIteration = 12)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>func</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.func-2">Func</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>, <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</dt>
<dd><p>The function to solve</p>
</dd>
<dt><code>x0</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Initial x value</p>
</dd>
<dt><code>y0</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Initial y value (func(x0))</p>
</dd>
<dt><code>x1</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Second x value</p>
</dd>
<dt><code>yTarget</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Target y value to solve for</p>
</dd>
<dt><code>convergenceLimit</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Convergence limit (acceptable error)</p>
</dd>
<dt><code>maxIteration</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
<dd><p>Maximum number of iterations</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a>&lt;<a class="xref" href="Hi.Geom.Solvers.BinarySolvingStatus.html">BinarySolvingStatus</a>&gt;</dt>
<dd><p>A sequence of solving status objects showing the progress of the solution</p>
</dd>
</dl>
<a id="Hi_Geom_Solvers_BinarySolverUtil_SlopeSolveWithY1_" data-uid="Hi.Geom.Solvers.BinarySolverUtil.SlopeSolveWithY1*"></a>
<h3 id="Hi_Geom_Solvers_BinarySolverUtil_SlopeSolveWithY1_System_Func_System_Double_System_Double__System_Double_System_Double_System_Double_System_Double_System_Double_System_Double_System_Int32_" data-uid="Hi.Geom.Solvers.BinarySolverUtil.SlopeSolveWithY1(System.Func{System.Double,System.Double},System.Double,System.Double,System.Double,System.Double,System.Double,System.Double,System.Int32)">
SlopeSolveWithY1(Func&lt;double, double&gt;, double, double, double, double, double, double, int)
</h3>
<div class="markdown level1 summary"><p>Solves for a target y-value using the slope method with a pre-calculated y1 value.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static IEnumerable&lt;BinarySolvingStatus&gt; SlopeSolveWithY1(Func&lt;double, double&gt; func, double x0, double y0, double x1, double y1, double yTarget, double convergenceLimit, int maxIteration = 12)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>func</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.func-2">Func</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>, <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</dt>
<dd><p>The function to solve</p>
</dd>
<dt><code>x0</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Initial x value</p>
</dd>
<dt><code>y0</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Initial y value (func(x0))</p>
</dd>
<dt><code>x1</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Second x value</p>
</dd>
<dt><code>y1</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Second y value (func(x1))</p>
</dd>
<dt><code>yTarget</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Target y value to solve for</p>
</dd>
<dt><code>convergenceLimit</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Convergence limit (acceptable error)</p>
</dd>
<dt><code>maxIteration</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
<dd><p>Maximum number of iterations</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a>&lt;<a class="xref" href="Hi.Geom.Solvers.BinarySolvingStatus.html">BinarySolvingStatus</a>&gt;</dt>
<dd><p>A sequence of solving status objects showing the progress of the solution</p>
</dd>
</dl>
</article>
<div class="contribution d-print-none">
</div>
</div>
<div class="affix">
<nav id="affix"></nav>
</div>
</main>
<div class="container-xxl search-results" id="search-results"></div>
<footer class="border-top text-secondary">
<div class="container-xxl">
<div class="flex-fill">
<span> Copyright © 2025 <a href='https://superhightech.com.tw'>Tech Coordinate</a>. All rights reserved. <a href='https://superhightech.com.tw'>超級高科技股份有限公司</a> © 2025 版權所有 </span>
</div>
</div>
</footer>
</body>
</html>