<!DOCTYPE html>
<html>
<head>
<meta charset="UTF-8">
<title>class Silicium::NumericalIntegration - RDoc Documentation</title>
<script type="text/javascript">
var rdoc_rel_prefix = "../";
var index_rel_prefix = "../";
</script>
<script src="../js/navigation.js" defer></script>
<script src="../js/search.js" defer></script>
<script src="../js/search_index.js" defer></script>
<script src="../js/searcher.js" defer></script>
<script src="../js/darkfish.js" defer></script>
<link href="../css/fonts.css" rel="stylesheet">
<link href="../css/rdoc.css" rel="stylesheet">
<body id="top" role="document" class="class">
<nav role="navigation">
<div id="project-navigation">
<div id="home-section" role="region" title="Quick navigation" class="nav-section">
<h2>
<a href="../index.html" rel="home">Home</a>
</h2>
<div id="table-of-contents-navigation">
<a href="../table_of_contents.html#pages">Pages</a>
<a href="../table_of_contents.html#classes">Classes</a>
<a href="../table_of_contents.html#methods">Methods</a>
</div>
</div>
<div id="search-section" role="search" class="project-section initially-hidden">
<form action="#" method="get" accept-charset="utf-8">
<div id="search-field-wrapper">
<input id="search-field" role="combobox" aria-label="Search"
aria-autocomplete="list" aria-controls="search-results"
type="text" name="search" placeholder="Search" spellcheck="false"
title="Type to search, Up and Down to navigate, Enter to load">
</div>
<ul id="search-results" aria-label="Search Results"
aria-busy="false" aria-expanded="false"
aria-atomic="false" class="initially-hidden"></ul>
</form>
</div>
</div>
<div id="class-metadata">
<div id="parent-class-section" class="nav-section">
<h3>Parent</h3>
<p class="link"><a href="../Object.html">Object</a>
</div>
<!-- Method Quickref -->
<div id="method-list-section" class="nav-section">
<h3>Methods</h3>
<ul class="link-list" role="directory">
<li ><a href="#method-c-left_rect_integration">::left_rect_integration</a>
<li ><a href="#method-c-left_rect_integration_n">::left_rect_integration_n</a>
<li ><a href="#method-c-middle_rectangles">::middle_rectangles</a>
<li ><a href="#method-c-middle_rectangles_with_a_segment">::middle_rectangles_with_a_segment</a>
<li ><a href="#method-c-simpson_integration">::simpson_integration</a>
<li ><a href="#method-c-simpson_integration_with_a_segment">::simpson_integration_with_a_segment</a>
<li ><a href="#method-c-three_eights_integration">::three_eights_integration</a>
<li ><a href="#method-c-three_eights_integration_n">::three_eights_integration_n</a>
<li ><a href="#method-c-trapezoid">::trapezoid</a>
<li ><a href="#method-c-trapezoid_with_a_segment">::trapezoid_with_a_segment</a>
</ul>
</div>
</div>
</nav>
<main role="main" aria-labelledby="class-Silicium::NumericalIntegration">
<h1 id="class-Silicium::NumericalIntegration" class="class">
class Silicium::NumericalIntegration
</h1>
<section class="description">
<p>A class providing numerical integration methods</p>
</section>
<section id="5Buntitled-5D" class="documentation-section">
<section id="public-class-5Buntitled-5D-method-details" class="method-section">
<header>
<h3>Public Class Methods</h3>
</header>
<div id="method-c-left_rect_integration" class="method-detail ">
<div class="method-heading">
<span class="method-name">left_rect_integration</span><span
class="method-args">(left_p, right_p, eps = 0.0001, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Left Rectangle Method and Right Rectangle Method</p>
<div class="method-source-code" id="left_rect_integration-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 48</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">left_rect_integration</span>(<span class="ruby-identifier">left_p</span>, <span class="ruby-identifier">right_p</span>, <span class="ruby-identifier">eps</span> = <span class="ruby-value">0.0001</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">splits</span> = <span class="ruby-value">1</span>
<span class="ruby-identifier">res1</span> = <span class="ruby-identifier">left_rect_integration_n</span>(<span class="ruby-identifier">left_p</span>, <span class="ruby-identifier">right_p</span>, <span class="ruby-value">1</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">res2</span> = <span class="ruby-identifier">left_rect_integration_n</span>(<span class="ruby-identifier">left_p</span>, <span class="ruby-identifier">right_p</span>, <span class="ruby-value">5</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-keyword">while</span> (<span class="ruby-identifier">res1</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">res2</span>).<span class="ruby-identifier">abs</span> <span class="ruby-operator">></span> <span class="ruby-identifier">eps</span>
<span class="ruby-identifier">res1</span> = <span class="ruby-identifier">left_rect_integration_n</span>(<span class="ruby-identifier">left_p</span>, <span class="ruby-identifier">right_p</span>, <span class="ruby-identifier">splits</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">splits</span> <span class="ruby-operator">*=</span> <span class="ruby-value">5</span>
<span class="ruby-identifier">res2</span> = <span class="ruby-identifier">left_rect_integration_n</span>(<span class="ruby-identifier">left_p</span>, <span class="ruby-identifier">right_p</span>, <span class="ruby-identifier">splits</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-keyword">end</span>
(<span class="ruby-identifier">res1</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">res2</span>) <span class="ruby-operator">/</span> <span class="ruby-value">2.0</span>
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
<div id="method-c-left_rect_integration_n" class="method-detail ">
<div class="method-heading">
<span class="method-name">left_rect_integration_n</span><span
class="method-args">(left_p, right_p, splits, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Left Rectangle Auxiliary Method and Right Rectangle Auxiliary Method</p>
<div class="method-source-code" id="left_rect_integration_n-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 61</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">left_rect_integration_n</span>(<span class="ruby-identifier">left_p</span>, <span class="ruby-identifier">right_p</span>, <span class="ruby-identifier">splits</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">dx</span> = (<span class="ruby-identifier">right_p</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">left_p</span>) <span class="ruby-operator">/</span> <span class="ruby-identifier">splits</span>.<span class="ruby-identifier">to_f</span>
<span class="ruby-identifier">result</span> = <span class="ruby-value">0</span>
<span class="ruby-identifier">i</span> = <span class="ruby-value">0</span>
<span class="ruby-keyword">while</span> <span class="ruby-identifier">i</span> <span class="ruby-operator"><</span> <span class="ruby-identifier">splits</span>
<span class="ruby-identifier">result</span> <span class="ruby-operator">+=</span> <span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(<span class="ruby-identifier">left_p</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">i</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>)
<span class="ruby-identifier">i</span> <span class="ruby-operator">+=</span> <span class="ruby-value">1</span>
<span class="ruby-keyword">end</span>
<span class="ruby-identifier">result</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
<div id="method-c-middle_rectangles" class="method-detail ">
<div class="method-heading">
<span class="method-name">middle_rectangles</span><span
class="method-args">(a, b, eps = 0.0001, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Middle Rectangles Method with specified accuracy</p>
<div class="method-source-code" id="middle_rectangles-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 86</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">middle_rectangles</span>(<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>, <span class="ruby-identifier">eps</span> = <span class="ruby-value">0.0001</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">wrapper_method</span>([<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>], <span class="ruby-identifier">eps</span>, <span class="ruby-value">:middle_rectangles_with_a_segment</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
<div id="method-c-middle_rectangles_with_a_segment" class="method-detail ">
<div class="method-heading">
<span class="method-name">middle_rectangles_with_a_segment</span><span
class="method-args">(a, b, n, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Middle Rectangles Method with a segment</p>
<div class="method-source-code" id="middle_rectangles_with_a_segment-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 74</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">middle_rectangles_with_a_segment</span>(<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>, <span class="ruby-identifier">n</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">dx</span> = (<span class="ruby-identifier">b</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">a</span>) <span class="ruby-operator">/</span> <span class="ruby-identifier">n</span>.<span class="ruby-identifier">to_f</span>
<span class="ruby-identifier">result</span> = <span class="ruby-value">0</span>
<span class="ruby-identifier">i</span> = <span class="ruby-value">0</span>
<span class="ruby-identifier">n</span>.<span class="ruby-identifier">times</span> <span class="ruby-keyword">do</span>
<span class="ruby-identifier">result</span> <span class="ruby-operator">+=</span> <span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(<span class="ruby-identifier">a</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">dx</span> <span class="ruby-operator">*</span> (<span class="ruby-identifier">i</span> <span class="ruby-operator">+</span> <span class="ruby-value">1</span> <span class="ruby-operator">/</span> <span class="ruby-value">2</span>)) <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>
<span class="ruby-identifier">i</span> <span class="ruby-operator">+=</span> <span class="ruby-value">1</span>
<span class="ruby-keyword">end</span>
<span class="ruby-identifier">result</span>
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
<div id="method-c-simpson_integration" class="method-detail ">
<div class="method-heading">
<span class="method-name">simpson_integration</span><span
class="method-args">(a, b, eps = 0.0001, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Simpson integration with specified accuracy</p>
<div class="method-source-code" id="simpson_integration-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 43</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">simpson_integration</span>(<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>, <span class="ruby-identifier">eps</span> = <span class="ruby-value">0.0001</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">wrapper_method</span>([<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>], <span class="ruby-identifier">eps</span>, <span class="ruby-value">:simpson_integration_with_a_segment</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
<div id="method-c-simpson_integration_with_a_segment" class="method-detail ">
<div class="method-heading">
<span class="method-name">simpson_integration_with_a_segment</span><span
class="method-args">(a, b, n, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Simpson integration with a segment</p>
<div class="method-source-code" id="simpson_integration_with_a_segment-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 30</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">simpson_integration_with_a_segment</span>(<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>, <span class="ruby-identifier">n</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">dx</span> = (<span class="ruby-identifier">b</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">a</span>) <span class="ruby-operator">/</span> <span class="ruby-identifier">n</span>.<span class="ruby-identifier">to_f</span>
<span class="ruby-identifier">result</span> = <span class="ruby-value">0</span>
<span class="ruby-identifier">i</span> = <span class="ruby-value">0</span>
<span class="ruby-keyword">while</span> <span class="ruby-identifier">i</span> <span class="ruby-operator"><</span> <span class="ruby-identifier">n</span>
<span class="ruby-identifier">result</span> <span class="ruby-operator">+=</span> (<span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(<span class="ruby-identifier">a</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">i</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>) <span class="ruby-operator">+</span> <span class="ruby-value">4</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(((<span class="ruby-identifier">a</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">i</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>) <span class="ruby-operator">+</span>
(<span class="ruby-identifier">a</span> <span class="ruby-operator">+</span> (<span class="ruby-identifier">i</span> <span class="ruby-operator">+</span> <span class="ruby-value">1</span>) <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>)) <span class="ruby-operator">/</span> <span class="ruby-value">2.0</span>) <span class="ruby-operator">+</span> <span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(<span class="ruby-identifier">a</span> <span class="ruby-operator">+</span> (<span class="ruby-identifier">i</span> <span class="ruby-operator">+</span> <span class="ruby-value">1</span>) <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>)) <span class="ruby-operator">/</span> <span class="ruby-value">6.0</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>
<span class="ruby-identifier">i</span> <span class="ruby-operator">+=</span> <span class="ruby-value">1</span>
<span class="ruby-keyword">end</span>
<span class="ruby-identifier">result</span>
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
<div id="method-c-three_eights_integration" class="method-detail ">
<div class="method-heading">
<span class="method-name">three_eights_integration</span><span
class="method-args">(a, b, eps = 0.0001, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Computes integral from <code>a</code> to <code>b</code> of <code>block</code> with accuracy <code>eps</code></p>
<div class="method-source-code" id="three_eights_integration-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 10</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">three_eights_integration</span>(<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>, <span class="ruby-identifier">eps</span> = <span class="ruby-value">0.0001</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">wrapper_method</span>([<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>], <span class="ruby-identifier">eps</span>, <span class="ruby-value">:three_eights_integration_n</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
<div id="method-c-three_eights_integration_n" class="method-detail ">
<div class="method-heading">
<span class="method-name">three_eights_integration_n</span><span
class="method-args">(a, b, n, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Computes integral from <code>a</code> to <code>b</code> of <code>block</code> with <code>n</code> segmentations</p>
<div class="method-source-code" id="three_eights_integration_n-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 15</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">three_eights_integration_n</span>(<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>, <span class="ruby-identifier">n</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">dx</span> = (<span class="ruby-identifier">b</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">a</span>) <span class="ruby-operator">/</span> <span class="ruby-identifier">n</span>.<span class="ruby-identifier">to_f</span>
<span class="ruby-identifier">result</span> = <span class="ruby-value">0</span>
<span class="ruby-identifier">x</span> = <span class="ruby-identifier">a</span>
<span class="ruby-identifier">n</span>.<span class="ruby-identifier">times</span> <span class="ruby-keyword">do</span>
<span class="ruby-identifier">result</span> <span class="ruby-operator">+=</span>
(<span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(<span class="ruby-identifier">x</span>) <span class="ruby-operator">+</span> <span class="ruby-value">3</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>((<span class="ruby-value">2</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">x</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">x</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">dx</span>) <span class="ruby-operator">/</span> <span class="ruby-value">3.0</span>) <span class="ruby-operator">+</span>
<span class="ruby-value">3</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>((<span class="ruby-identifier">x</span> <span class="ruby-operator">+</span> <span class="ruby-value">2</span> <span class="ruby-operator">*</span> (<span class="ruby-identifier">x</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">dx</span>)) <span class="ruby-operator">/</span> <span class="ruby-value">3.0</span>) <span class="ruby-operator">+</span> <span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(<span class="ruby-identifier">x</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">dx</span>)) <span class="ruby-operator">/</span> <span class="ruby-value">8.0</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>
<span class="ruby-identifier">x</span> <span class="ruby-operator">+=</span> <span class="ruby-identifier">dx</span>
<span class="ruby-keyword">end</span>
<span class="ruby-identifier">result</span>
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
<div id="method-c-trapezoid" class="method-detail ">
<div class="method-heading">
<span class="method-name">trapezoid</span><span
class="method-args">(a, b, eps = 0.0001, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Trapezoid Method with specified accuracy</p>
<div class="method-source-code" id="trapezoid-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 105</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">trapezoid</span>(<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>, <span class="ruby-identifier">eps</span> = <span class="ruby-value">0.0001</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">wrapper_method</span>([<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>], <span class="ruby-identifier">eps</span>, <span class="ruby-value">:trapezoid_with_a_segment</span> ,<span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
<div id="method-c-trapezoid_with_a_segment" class="method-detail ">
<div class="method-heading">
<span class="method-name">trapezoid_with_a_segment</span><span
class="method-args">(a, b, n, &block)</span>
<span class="method-click-advice">click to toggle source</span>
</div>
<div class="method-description">
<p>Trapezoid Method with a segment</p>
<div class="method-source-code" id="trapezoid_with_a_segment-source">
<pre><span class="ruby-comment"># File lib/numerical_integration.rb, line 92</span>
<span class="ruby-keyword">def</span> <span class="ruby-keyword">self</span>.<span class="ruby-identifier ruby-title">trapezoid_with_a_segment</span>(<span class="ruby-identifier">a</span>, <span class="ruby-identifier">b</span>, <span class="ruby-identifier">n</span>, <span class="ruby-operator">&</span><span class="ruby-identifier">block</span>)
<span class="ruby-identifier">dx</span> = (<span class="ruby-identifier">b</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">a</span>) <span class="ruby-operator">/</span> <span class="ruby-identifier">n</span>.<span class="ruby-identifier">to_f</span>
<span class="ruby-identifier">result</span> = <span class="ruby-value">0</span>
<span class="ruby-identifier">i</span> = <span class="ruby-value">1</span>
(<span class="ruby-identifier">n</span> <span class="ruby-operator">-</span> <span class="ruby-value">1</span>).<span class="ruby-identifier">times</span> <span class="ruby-keyword">do</span>
<span class="ruby-identifier">result</span> <span class="ruby-operator">+=</span> <span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(<span class="ruby-identifier">a</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">dx</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">i</span>)
<span class="ruby-identifier">i</span> <span class="ruby-operator">+=</span> <span class="ruby-value">1</span>
<span class="ruby-keyword">end</span>
<span class="ruby-identifier">result</span> <span class="ruby-operator">+=</span> (<span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(<span class="ruby-identifier">a</span>) <span class="ruby-operator">+</span> <span class="ruby-identifier">block</span>.<span class="ruby-identifier">call</span>(<span class="ruby-identifier">b</span>)) <span class="ruby-operator">/</span> <span class="ruby-value">2.0</span>
<span class="ruby-identifier">result</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">dx</span>
<span class="ruby-keyword">end</span></pre>
</div>
</div>
</div>
</section>
</section>
</main>
<footer id="validator-badges" role="contentinfo">
<p><a href="https://validator.w3.org/check/referer">Validate</a>
<p>Generated by <a href="https://ruby.github.io/rdoc/">RDoc</a> 6.2.0.
<p>Based on <a href="http://deveiate.org/projects/Darkfish-RDoc/">Darkfish</a> by <a href="http://deveiate.org">Michael Granger</a>.
</footer>