{"id":2038,"date":"2025-01-27T19:11:35","date_gmt":"2025-01-27T19:11:35","guid":{"rendered":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/?page_id=2038"},"modified":"2025-01-27T21:14:19","modified_gmt":"2025-01-27T21:14:19","slug":"whats-the-problem","status":"publish","type":"page","link":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/topics\/c-details\/function-templates-2\/whats-the-problem\/","title":{"rendered":"What&#8217;s The Problem?"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Whats_the_Problem\"><\/span>What&#8217;s the Problem?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Consider the implementation of a <strong>min()<\/strong> function for <strong>int<\/strong>s:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>int min(int a, int b)\n{\n  return a &lt; b ? a : b;\n}<\/strong><\/code><\/pre>\n\n\n\n<p>You can&#8217;t use the above code for <strong>double<\/strong>s, even though the algorithm is exactly the same.&nbsp; Only the types change:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>int min(double a, double b)\n{\n  return a &lt; b ? a : b;\n}<\/strong><\/code><\/pre>\n\n\n\n<p>So, you have to provide a different version of <strong>min()<\/strong> for every type that you want to support.<\/p>\n\n\n\n<p>If you want to have a <strong>min()<\/strong> for a user-defined type, then the user has to implement it;&nbsp; the vendor doesn&#8217;t know all the types the user will want to implement.<\/p>\n\n\n\n<p>At least in C++, unlike C, you can use a single name for all these functions!<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"One_Solution_Macros\"><\/span>One Solution: Macros<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>One could use macros to solve the problem:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>#define min(a,b) (a) &lt; (b) ? (a) : (b)<\/strong><\/code><\/pre>\n\n\n\n<p>Notice the care with which you have to construct this &#8212; all those parentheses!&nbsp; And it still isn&#8217;t safe!&nbsp;<\/p>\n\n\n\n<p>For example, the following:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>min(10, 20);<\/strong><strong><br><\/strong><strong>min(25.46, 193.7);<\/strong><\/code><\/pre>\n\n\n\n<p><strong><\/strong>will work with this form, but:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>min(p++, myfunc());<\/strong><\/code><\/pre>\n\n\n\n<p>will not.&nbsp; Why?<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong><em>Macros are not safe, nor are they type-safe.<\/em><\/strong><\/p>\n<\/blockquote>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_Real_Solution%E2%80%A6\"><\/span>The Real Solution&#8230;<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>We need some way of writing a function, and <em>parameterizing<\/em> it, so that the proper definition can be used at compile time.&nbsp;<\/p>\n\n\n\n<p>In C++, these are called <em><strong>Function Templates<\/strong><\/em>, and are defined and used like:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-kevinbatdorf-code-block-pro cbp-has-line-numbers\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono-NL.ttf\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono-NL,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;--cbp-line-number-color:#000000;--cbp-line-number-width:calc(2 * 0.6 * .875rem);line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span role=\"button\" tabindex=\"0\" data-code=\"\/\/\n\/\/  main.cpp\n\/\/  Function Templates\n\/\/\n\/\/  Created by Bryan Higgs on 10\/11\/24.\n\/\/\n\n#include &lt;iostream&gt;\n\ntemplate &lt;typename Type&gt;\nType min(Type a, Type b)\n{\n  return a &lt; b ? a : b;\n}\n\nint main(int argc, const char * argv[]) \n{\n  std::cout &lt;&lt; &quot;min(10, 20) = &quot;\n            &lt;&lt; min(10, 20) &lt;&lt; std::endl;\n  std::cout &lt;&lt; &quot;min(25.46, 193.7) = &quot;\n            &lt;&lt; min(25.46, 193.7) &lt;&lt; std::endl;\n  \n  return 0;\n}\" style=\"color:#000000;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki light-plus\" style=\"background-color: #FFFFFF\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  main.cpp<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Function Templates<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Created by Bryan Higgs on 10\/11\/24.<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#include<\/span><span style=\"color: #0000FF\"> <\/span><span style=\"color: #A31515\">&lt;iostream&gt;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #0000FF\">template<\/span><span style=\"color: #000000\"> &lt;<\/span><span style=\"color: #0000FF\">typename<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #267F99\">Type<\/span><span style=\"color: #000000\">&gt;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #267F99\">Type<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #795E26\">min<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #267F99\">Type<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">a<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #267F99\">Type<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">b<\/span><span style=\"color: #000000\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">return<\/span><span style=\"color: #000000\"> a &lt; b ? a : b;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #795E26\">main<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">argc<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #0000FF\">const<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #0000FF\">char<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #0000FF\">*<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">argv<\/span><span style=\"color: #000000\">[]) <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #A31515\">&quot;min(10, 20) = &quot;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">            &lt;&lt; <\/span><span style=\"color: #795E26\">min<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #098658\">10<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #098658\">20<\/span><span style=\"color: #000000\">) &lt;&lt; <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::endl;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #A31515\">&quot;min(25.46, 193.7) = &quot;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">            &lt;&lt; <\/span><span style=\"color: #795E26\">min<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #098658\">25.46<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #098658\">193.7<\/span><span style=\"color: #000000\">) &lt;&lt; <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::endl;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">return<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">}<\/span><\/span><\/code><\/pre><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>&#8230; which produces the following output:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>min(10, 20) = 10\nmin(25.46, 193.7) = 25.46\nProgram ended with exit code: 0<\/strong><\/code><\/pre>\n<\/div>\n<\/div>\n\n\n\n<p>The above template definition:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>template &lt;typename Type&gt;\nType min(Type a, Type b)\n{\n  return a &lt; b ? a : b;\n}<\/strong><\/code><\/pre>\n\n\n\n<p>specifies a <em>family of functions<\/em> that returns the maximum of two values.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Function_Template_Instantiation\"><\/span>Function Template Instantiation<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>In order to make this program work, the compiler has to do the following for each call to <strong>min()<\/strong>:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Find the appropriate function template definition.<\/li>\n\n\n\n<li>Construct an <em>instantiation<\/em> of the function template, causing the appropriate real function definition to be created.<\/li>\n\n\n\n<li>Generate the code to invoke the function.<\/li>\n<\/ol>\n\n\n\n<p>In other words, the actual function definition comes into being as an <em>automatic side-effect<\/em> of either <em>invoking<\/em>, or <em>taking the address of<\/em>, a template function.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong><em>At least, that&#8217;s how it&#8217;s supposed to be!&nbsp;&nbsp;<\/em><\/strong><\/p>\n\n\n\n<p><strong><em>Historically, the use of templates is one of the most troublesome and inconsistently implemented features in C++.&nbsp; Different compilers have implemented templates differently, and often have had incomplete levels of support for the C++ standard definition of templates. The situation has been improving, and by now is much better.<\/em><\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>For example, imagine you&#8217;re trying to implement a function that accepts an array of <strong>Type<\/strong>, and returns the minimum value contained within the array of that <strong>Type<\/strong>:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Thus the function template:<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro cbp-has-line-numbers\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono-NL.ttf\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono-NL,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;--cbp-line-number-color:#000000;--cbp-line-number-width:calc(2 * 0.6 * .875rem);line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span role=\"button\" tabindex=\"0\" data-code=\"\/\/\n\/\/  min1.h\n\/\/  Function Templates\n\/\/\n\/\/  Created by Bryan Higgs on 10\/11\/24.\n\/\/\n\n#ifndef min1_h\n#define min1_h\n\ntemplate &lt;typename Type&gt;\nType min(Type array[], size_t size)\n{\n  Type min_val = array[0];\n  for (size_t i = 1; i &lt; size; i++)\n  {\n    if (array[i] &lt; min_val)\n      min_val = array[i];\n  }\n  return min_val;\n}\n\n#endif \/* min1_h *\/\" style=\"color:#000000;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki light-plus\" style=\"background-color: #FFFFFF\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  min1.h<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Function Templates<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Created by Bryan Higgs on 10\/11\/24.<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#ifndef<\/span><span style=\"color: #0000FF\"> min1_h<\/span><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#define<\/span><span style=\"color: #0000FF\"> min1_h<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #0000FF\">template<\/span><span style=\"color: #000000\"> &lt;<\/span><span style=\"color: #0000FF\">typename<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #267F99\">Type<\/span><span style=\"color: #000000\">&gt;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #267F99\">Type<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #795E26\">min<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #267F99\">Type<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">array<\/span><span style=\"color: #000000\">[], <\/span><span style=\"color: #0000FF\">size_t<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">size<\/span><span style=\"color: #000000\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  Type min_val = <\/span><span style=\"color: #001080\">array<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">];<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">for<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #0000FF\">size_t<\/span><span style=\"color: #000000\"> i = <\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">; i &lt; size; i++)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  {<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">    <\/span><span style=\"color: #AF00DB\">if<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #001080\">array<\/span><span style=\"color: #000000\">[i] &lt; min_val)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">      min_val = <\/span><span style=\"color: #001080\">array<\/span><span style=\"color: #000000\">[i];<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  }<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">return<\/span><span style=\"color: #000000\"> min_val;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#endif<\/span><span style=\"color: #008000\"> \/* min1_h *\/<\/span><\/span><\/code><\/pre><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>When called like:<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro cbp-has-line-numbers\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono-NL.ttf\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono-NL,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;--cbp-line-number-color:#000000;--cbp-line-number-width:calc(2 * 0.6 * .875rem);line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span role=\"button\" tabindex=\"0\" data-code=\"\/\/\n\/\/  main.cpp\n\/\/  Function Templates\n\/\/\n\/\/  Created by Bryan Higgs on 10\/11\/24.\n\/\/\n\n#include &lt;iostream&gt;\n#include &quot;min1.h&quot;\n\nint main(int argc, const char * argv[]) \n{\n  int array[] = { 12, 45, 3, 19, 157 };\n  std::cout &lt;&lt; &quot;Minimum value = &quot;\n            &lt;&lt; min( array, sizeof(array)\/sizeof(int) )\n            &lt;&lt; std::endl;\n\n  return 0;\n}\" style=\"color:#000000;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki light-plus\" style=\"background-color: #FFFFFF\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  main.cpp<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Function Templates<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Created by Bryan Higgs on 10\/11\/24.<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#include<\/span><span style=\"color: #0000FF\"> <\/span><span style=\"color: #A31515\">&lt;iostream&gt;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#include<\/span><span style=\"color: #0000FF\"> <\/span><span style=\"color: #A31515\">&quot;min1.h&quot;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #795E26\">main<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">argc<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #0000FF\">const<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #0000FF\">char<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #0000FF\">*<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">argv<\/span><span style=\"color: #000000\">[]) <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> array[] = { <\/span><span style=\"color: #098658\">12<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #098658\">45<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #098658\">3<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #098658\">19<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #098658\">157<\/span><span style=\"color: #000000\"> };<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #A31515\">&quot;Minimum value = &quot;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">            &lt;&lt; <\/span><span style=\"color: #795E26\">min<\/span><span style=\"color: #000000\">( array, <\/span><span style=\"color: #0000FF\">sizeof<\/span><span style=\"color: #000000\">(array)\/<\/span><span style=\"color: #0000FF\">sizeof<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\">) )<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">            &lt;&lt; <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::endl;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">return<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">}<\/span><\/span><\/code><\/pre><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>will be instantiated as follows:<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro cbp-has-line-numbers\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono-NL.ttf\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono-NL,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;--cbp-line-number-color:#000000;--cbp-line-number-width:calc(2 * 0.6 * .875rem);line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span role=\"button\" tabindex=\"0\" data-code=\"int min(Type array[], size_t size)\n{\n  int min_val = array[0];\n  for (size_t i = 1; i &lt; size; i++)\n  {\n    if (array[i] &lt; min_val)\n      min_val = array[i];\n  }\n  return min_val;\n}\" style=\"color:#000000;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki light-plus\" style=\"background-color: #FFFFFF\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #795E26\">min<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #267F99\">Type<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">array<\/span><span style=\"color: #000000\">[], <\/span><span style=\"color: #0000FF\">size_t<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">size<\/span><span style=\"color: #000000\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> min_val = <\/span><span style=\"color: #001080\">array<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">];<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">for<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #0000FF\">size_t<\/span><span style=\"color: #000000\"> i = <\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">; i &lt; size; i++)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  {<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">    <\/span><span style=\"color: #AF00DB\">if<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #001080\">array<\/span><span style=\"color: #000000\">[i] &lt; min_val)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">      min_val = <\/span><span style=\"color: #001080\">array<\/span><span style=\"color: #000000\">[i];<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  }<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">return<\/span><span style=\"color: #000000\"> min_val;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">}<\/span><\/span><\/code><\/pre><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>&#8230; and produces the following output:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>Minimum value = 3\nProgram ended with exit code: 0<\/strong><\/code><\/pre>\n<\/div>\n<\/div>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Note that the compiler will only allocate space for functions actually called and therefore instantiated. It will not allocate space for functions that are not called by the program.<\/p>\n<\/blockquote>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Template_Parameters\"><\/span>Template Parameters<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>The first line of a template function:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>template &lt; <\/strong><em>comma-separated-list-of parameters<\/em><strong> &gt;<\/strong><\/code><\/pre>\n\n\n\n<p>specifies a list of <em>template parameters<\/em>. In the above <strong><code>max<\/code><\/strong> example, the list consists of a single parameter:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>typename Type<\/strong><\/code><\/pre>\n\n\n\n<p>which indicates that <strong><code>Type<\/code><\/strong> (it&#8217;s just a name) is a <em>yet-to-be-determined type<\/em> that is referred to in the body of the template.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Historically, when templates were introduced, C++ used the keyword <strong>class<\/strong>, as in:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>template &lt;class T&gt;<\/strong><\/code><\/pre>\n\n\n\n<p>The use of the keyword <strong>class<\/strong> is potentially confusing. It does not indicate that <strong>Type<\/strong> is actually a <em>class<\/em>; it simply is the original way that C++ used to indicate that <strong>Type<\/strong> is a <em>type<\/em>. Since then, C++ has added a new keyword, <strong>typename<\/strong>, which was not present when the first template implementations became available. So, now, we prefer to use the following instead:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>typename Type<\/strong><\/code><\/pre>\n\n\n\n<p>The use of the keyword <strong>class<\/strong> still exists in a lot of code. Its use is simply historical, and should be viewed as equivalent to using <strong>typename<\/strong>. The two keywords are totally equivalent in this context. <strong>typename<\/strong> is now preferred.<\/p>\n<\/blockquote>\n\n\n\n<p>The determination of the actual type of <strong>Type<\/strong> is done when the function template is instantiated as a result of a call to the template function, such as:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>min(10, 20)<\/strong><\/code><\/pre>\n\n\n\n<p>In this case, the compiler determines from the function arguments that <strong>Type<\/strong> is of type <strong>int<\/strong>.<\/p>\n\n\n\n<p>A function call:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>min(10.6, 0.7)<\/strong><\/code><\/pre>\n\n\n\n<p>will result in a <strong>Type<\/strong> of type <strong>double<\/strong> for this instantiation.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_Template_Parameter_List\"><\/span>The Template Parameter List<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>A <em>template parameter list <\/em>consists of a comma-separated list of <em>template parameters<\/em> enclosed within angle brackets (<strong>&lt;<\/strong> and <strong>&gt;<\/strong>):<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>template &lt;typename Type, int size&gt;<\/strong><\/code><\/pre>\n\n\n\n<p>You may have as many template parameters as you like.<\/p>\n\n\n\n<p>There are two kinds of template parameters:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <em>template type parameter<\/em> (<em>of &#8220;type type&#8221;<\/em>):\n<ul class=\"wp-block-list\">\n<li><strong>typename <\/strong>type (or <strong>class<\/strong> type) <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>A <em>template non-type parameter<\/em> (aka <em>Value Parameters<\/em>):\n<ul class=\"wp-block-list\">\n<li><strong>int size<\/strong>, <strong>double value<\/strong>, etc.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><em>Type parameters<\/em> are by far the most common, but <em>value parameters<\/em> are essential for many important techniques. We&#8217;ll postpone discussion of value parameter usage until later.<\/p>\n\n\n\n<p>Note that the name of each template parameter is chosen by the programmer:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>template &lt;typename Glump, int bog&gt;<\/strong><strong>\n<\/strong><strong>\u2026<\/strong><\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"A_Simple_Function_Template\"><\/span>A Simple Function Template<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Let&#8217;s write a simple function template.&nbsp; It implements a simple bubble sort on a <strong>vector<\/strong>.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Note that the Standard C++ Template Library implements many algorithms, including sorting. This example uses our own implementation of a bubble sort for purposes of simple explanation.<\/p>\n<\/blockquote>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-kevinbatdorf-code-block-pro cbp-has-line-numbers\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono-NL.ttf\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono-NL,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;--cbp-line-number-color:#000000;--cbp-line-number-width:calc(2 * 0.6 * .875rem);line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span role=\"button\" tabindex=\"0\" data-code=\"\/\/\n\/\/  templbubble.h\n\/\/  Function Templates\n\/\/\n\/\/  Created by Bryan Higgs on 10\/11\/24.\n\/\/\n\n#ifndef templbubble_h\n#define templbubble_h\n\n#include &lt;vector&gt;\n\ntemplate&lt;typename TYPE&gt;\nvoid sort(std::vector&lt;TYPE&gt; &amp;v)\n{\n  size_t n = v.size();\n  for (size_t i = 0; i &lt; n - 1; i++)\n  {\n    for (size_t j = n - 1; i &lt; j; j--)\n    {\n      if (v[j] &lt; v[j - 1])\n      {  \/\/ swap v[j] and v[j-1]\n        TYPE temp = v[j];\n        v[j] = v[j-1];\n        v[j - 1] = temp;\n      }\n    }\n  }\n}\n\n#endif \/* templbubble_h *\/\" style=\"color:#000000;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki light-plus\" style=\"background-color: #FFFFFF\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  templbubble.h<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Function Templates<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Created by Bryan Higgs on 10\/11\/24.<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#ifndef<\/span><span style=\"color: #0000FF\"> templbubble_h<\/span><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#define<\/span><span style=\"color: #0000FF\"> templbubble_h<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#include<\/span><span style=\"color: #0000FF\"> <\/span><span style=\"color: #A31515\">&lt;vector&gt;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #0000FF\">template<\/span><span style=\"color: #000000\">&lt;<\/span><span style=\"color: #0000FF\">typename<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #267F99\">TYPE<\/span><span style=\"color: #000000\">&gt;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #0000FF\">void<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #795E26\">sort<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::<\/span><span style=\"color: #267F99\">vector<\/span><span style=\"color: #000000\">&lt;<\/span><span style=\"color: #267F99\">TYPE<\/span><span style=\"color: #000000\">&gt; <\/span><span style=\"color: #0000FF\">&amp;<\/span><span style=\"color: #001080\">v<\/span><span style=\"color: #000000\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #0000FF\">size_t<\/span><span style=\"color: #000000\"> n = <\/span><span style=\"color: #001080\">v<\/span><span style=\"color: #000000\">.<\/span><span style=\"color: #795E26\">size<\/span><span style=\"color: #000000\">();<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">for<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #0000FF\">size_t<\/span><span style=\"color: #000000\"> i = <\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">; i &lt; n - <\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">; i++)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  {<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">    <\/span><span style=\"color: #AF00DB\">for<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #0000FF\">size_t<\/span><span style=\"color: #000000\"> j = n - <\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">; i &lt; j; j--)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">    {<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">      <\/span><span style=\"color: #AF00DB\">if<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #001080\">v<\/span><span style=\"color: #000000\">[j] &lt; <\/span><span style=\"color: #001080\">v<\/span><span style=\"color: #000000\">[j - <\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">])<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">      {<\/span><span style=\"color: #008000\">  \/\/ swap v[j] and v[j-1]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">        TYPE temp = <\/span><span style=\"color: #001080\">v<\/span><span style=\"color: #000000\">[j];<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">        <\/span><span style=\"color: #001080\">v<\/span><span style=\"color: #000000\">[j] = <\/span><span style=\"color: #001080\">v<\/span><span style=\"color: #000000\">[j-<\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">];<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">        <\/span><span style=\"color: #001080\">v<\/span><span style=\"color: #000000\">[j - <\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">] = temp;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">      }<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">    }<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  }<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#endif<\/span><span style=\"color: #008000\"> \/* templbubble_h *\/<\/span><\/span><\/code><\/pre><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-kevinbatdorf-code-block-pro cbp-has-line-numbers\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono-NL.ttf\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono-NL,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;--cbp-line-number-color:#000000;--cbp-line-number-width:calc(2 * 0.6 * .875rem);line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span role=\"button\" tabindex=\"0\" data-code=\"\/\/\n\/\/  templbubble.cpp\n\/\/  Function Templates\n\/\/\n\/\/  Created by Bryan Higgs on 10\/11\/24.\n\/\/\n\n#include &lt;iostream&gt;\n#include &lt;string&gt;\n#include &lt;vector&gt;\n#include &quot;templbubble.h&quot;\n\nvoid itTakesAllSorts(std::vector&lt;int&gt;          &amp;vi,\n                     std::vector&lt;double&gt;       &amp;vd,\n                     std::vector&lt;std::string&gt;  &amp;vs)\n{\n  std::cout &lt;&lt; &quot;Sorting vi (vector&lt;int&gt;)\\n&quot;;\n  sort(vi);      \/\/ sort(Vector&lt;int&gt;    &amp;v)\n  \n  std::cout &lt;&lt; &quot;Sorting vd (vector&lt;double&gt;)\\n&quot;;\n  sort(vd);      \/\/ sort(Vector&lt;double&gt; &amp;v)\n  \n  std::cout &lt;&lt; &quot;Sorting vs (vector&lt;double&gt;)\\n&quot;;\n  sort(vs);      \/\/ sort(Vector&lt;char *&gt; &amp;v)\n}\n\nint main(int argc, const char * argv[])\n{\n  std::vector&lt;int&gt;          vints(4);\n  std::vector&lt;double&gt;       vdbls(5);\n  std::vector&lt;std::string&gt;  vstrs(3);\n  \n  vints[0] = 3; \n  vints[1] = 1;\n  vints[2] = 5; \n  vints[3] = 6;\n  vdbls[0] = 34.5; \n  vdbls[1] = 102.3;\n  vdbls[2] = 3.6;  \n  vdbls[3] = 97.1;\n  vdbls[4] = 45.8;\n  vstrs[0] = &quot;Vera&quot;; \n  vstrs[1] = &quot;Mary&quot;;\n  vstrs[2] = &quot;Fred&quot;;\n  \n  itTakesAllSorts(vints, vdbls, vstrs);\n  \n  std::cout &lt;&lt; std::endl &lt;&lt; &quot;ints:    &quot;;\n  for (int i = 0; i &lt; vints.size(); i++)\n  {\n    std::cout &lt;&lt; vints[i] &lt;&lt; ' ';\n  }\n  std::cout &lt;&lt; std::endl &lt;&lt; &quot;doubles: &quot;;\n  for (int i = 0; i &lt; vdbls.size(); i++)\n  {\n    std::cout &lt;&lt; vdbls[i] &lt;&lt; ' ';\n  }\n  std::cout &lt;&lt; std::endl &lt;&lt; &quot;strings: &quot;;\n  for (int i = 0; i &lt; vstrs.size(); i++)\n  {\n    std::cout &lt;&lt; vstrs[i] &lt;&lt; ' ';\n  }\n  std::cout &lt;&lt; std::endl;\n\n  return 0;\n}\" style=\"color:#000000;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki light-plus\" style=\"background-color: #FFFFFF\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  templbubble.cpp<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Function Templates<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/  Created by Bryan Higgs on 10\/11\/24.<\/span><\/span>\n<span class=\"line\"><span style=\"color: #008000\">\/\/<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#include<\/span><span style=\"color: #0000FF\"> <\/span><span style=\"color: #A31515\">&lt;iostream&gt;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#include<\/span><span style=\"color: #0000FF\"> <\/span><span style=\"color: #A31515\">&lt;string&gt;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#include<\/span><span style=\"color: #0000FF\"> <\/span><span style=\"color: #A31515\">&lt;vector&gt;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #AF00DB\">#include<\/span><span style=\"color: #0000FF\"> <\/span><span style=\"color: #A31515\">&quot;templbubble.h&quot;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #0000FF\">void<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #795E26\">itTakesAllSorts<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::<\/span><span style=\"color: #267F99\">vector<\/span><span style=\"color: #000000\">&lt;<\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\">&gt;          <\/span><span style=\"color: #0000FF\">&amp;<\/span><span style=\"color: #001080\">vi<\/span><span style=\"color: #000000\">,<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">                     <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::<\/span><span style=\"color: #267F99\">vector<\/span><span style=\"color: #000000\">&lt;<\/span><span style=\"color: #0000FF\">double<\/span><span style=\"color: #000000\">&gt;       <\/span><span style=\"color: #0000FF\">&amp;<\/span><span style=\"color: #001080\">vd<\/span><span style=\"color: #000000\">,<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">                     <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::<\/span><span style=\"color: #267F99\">vector<\/span><span style=\"color: #000000\">&lt;<\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::<\/span><span style=\"color: #267F99\">string<\/span><span style=\"color: #000000\">&gt;  <\/span><span style=\"color: #0000FF\">&amp;<\/span><span style=\"color: #001080\">vs<\/span><span style=\"color: #000000\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #A31515\">&quot;Sorting vi (vector&lt;int&gt;)<\/span><span style=\"color: #EE0000\">\\n<\/span><span style=\"color: #A31515\">&quot;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #795E26\">sort<\/span><span style=\"color: #000000\">(vi);<\/span><span style=\"color: #008000\">      \/\/ sort(Vector&lt;int&gt;    &amp;v)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #A31515\">&quot;Sorting vd (vector&lt;double&gt;)<\/span><span style=\"color: #EE0000\">\\n<\/span><span style=\"color: #A31515\">&quot;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #795E26\">sort<\/span><span style=\"color: #000000\">(vd);<\/span><span style=\"color: #008000\">      \/\/ sort(Vector&lt;double&gt; &amp;v)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #A31515\">&quot;Sorting vs (vector&lt;double&gt;)<\/span><span style=\"color: #EE0000\">\\n<\/span><span style=\"color: #A31515\">&quot;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #795E26\">sort<\/span><span style=\"color: #000000\">(vs);<\/span><span style=\"color: #008000\">      \/\/ sort(Vector&lt;char *&gt; &amp;v)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #795E26\">main<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">argc<\/span><span style=\"color: #000000\">, <\/span><span style=\"color: #0000FF\">const<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #0000FF\">char<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #0000FF\">*<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #001080\">argv<\/span><span style=\"color: #000000\">[])<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::vector&lt;<\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\">&gt;          <\/span><span style=\"color: #795E26\">vints<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #098658\">4<\/span><span style=\"color: #000000\">);<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::vector&lt;<\/span><span style=\"color: #0000FF\">double<\/span><span style=\"color: #000000\">&gt;       <\/span><span style=\"color: #795E26\">vdbls<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #098658\">5<\/span><span style=\"color: #000000\">);<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::vector&lt;<\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::string&gt;  <\/span><span style=\"color: #795E26\">vstrs<\/span><span style=\"color: #000000\">(<\/span><span style=\"color: #098658\">3<\/span><span style=\"color: #000000\">);<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vints<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #098658\">3<\/span><span style=\"color: #000000\">; <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vints<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vints<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">2<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #098658\">5<\/span><span style=\"color: #000000\">; <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vints<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">3<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #098658\">6<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vdbls<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #098658\">34.5<\/span><span style=\"color: #000000\">; <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vdbls<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #098658\">102.3<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vdbls<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">2<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #098658\">3.6<\/span><span style=\"color: #000000\">;  <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vdbls<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">3<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #098658\">97.1<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vdbls<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">4<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #098658\">45.8<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vstrs<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #A31515\">&quot;Vera&quot;<\/span><span style=\"color: #000000\">; <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vstrs<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">1<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #A31515\">&quot;Mary&quot;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #001080\">vstrs<\/span><span style=\"color: #000000\">[<\/span><span style=\"color: #098658\">2<\/span><span style=\"color: #000000\">] = <\/span><span style=\"color: #A31515\">&quot;Fred&quot;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #795E26\">itTakesAllSorts<\/span><span style=\"color: #000000\">(vints, vdbls, vstrs);<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::endl &lt;&lt; <\/span><span style=\"color: #A31515\">&quot;ints:    &quot;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">for<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> i = <\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">; i &lt; <\/span><span style=\"color: #001080\">vints<\/span><span style=\"color: #000000\">.<\/span><span style=\"color: #795E26\">size<\/span><span style=\"color: #000000\">(); i++)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  {<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">    <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #001080\">vints<\/span><span style=\"color: #000000\">[i] &lt;&lt; <\/span><span style=\"color: #A31515\">&#39; &#39;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  }<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::endl &lt;&lt; <\/span><span style=\"color: #A31515\">&quot;doubles: &quot;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">for<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> i = <\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">; i &lt; <\/span><span style=\"color: #001080\">vdbls<\/span><span style=\"color: #000000\">.<\/span><span style=\"color: #795E26\">size<\/span><span style=\"color: #000000\">(); i++)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  {<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">    <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #001080\">vdbls<\/span><span style=\"color: #000000\">[i] &lt;&lt; <\/span><span style=\"color: #A31515\">&#39; &#39;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  }<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::endl &lt;&lt; <\/span><span style=\"color: #A31515\">&quot;strings: &quot;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">for<\/span><span style=\"color: #000000\"> (<\/span><span style=\"color: #0000FF\">int<\/span><span style=\"color: #000000\"> i = <\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">; i &lt; <\/span><span style=\"color: #001080\">vstrs<\/span><span style=\"color: #000000\">.<\/span><span style=\"color: #795E26\">size<\/span><span style=\"color: #000000\">(); i++)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  {<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">    <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #001080\">vstrs<\/span><span style=\"color: #000000\">[i] &lt;&lt; <\/span><span style=\"color: #A31515\">&#39; &#39;<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  }<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::cout &lt;&lt; <\/span><span style=\"color: #267F99\">std<\/span><span style=\"color: #000000\">::endl;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #000000\">  <\/span><span style=\"color: #AF00DB\">return<\/span><span style=\"color: #000000\"> <\/span><span style=\"color: #098658\">0<\/span><span style=\"color: #000000\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #000000\">}<\/span><\/span><\/code><\/pre><\/div>\n<\/div>\n<\/div>\n\n\n\n<p>&#8230; which produces the following output:<\/p>\n\n\n\n<pre class=\"wp-block-code\" style=\"padding-top:0px;padding-bottom:0px\"><code><strong>Sorting vi (vector&lt;int&gt;)\nSorting vd (vector&lt;double&gt;)\nSorting vs (vector&lt;double&gt;)\n\nints:    1 3 5 6 \ndoubles: 3.6 34.5 45.8 97.1 102.3 \nstrings: Fred Mary Vera \nProgram ended with exit code: 0<\/strong><\/code><\/pre>\n\n\n\n<div style=\"height:47px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-font-size has-medium-font-size\"><a class=\"wp-block-button__link has-palette-color-8-color has-text-color has-link-color wp-element-button\" href=\"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/topics\/c-details\/function-templates-2\/template-explicit-specialization\/\">Next: Template Explicit Serialization<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What&#8217;s the Problem? Consider the implementation of a min() function for ints: You can&#8217;t use the above code for doubles, even though the algorithm is exactly the same.&nbsp; Only the types change: So, you have to provide a different version of min() for every type that you want to support. If you want to have [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2029,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2038","page","type-page","status-publish","hentry"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/wp-json\/wp\/v2\/pages\/2038","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/wp-json\/wp\/v2\/comments?post=2038"}],"version-history":[{"count":5,"href":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/wp-json\/wp\/v2\/pages\/2038\/revisions"}],"predecessor-version":[{"id":2091,"href":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/wp-json\/wp\/v2\/pages\/2038\/revisions\/2091"}],"up":[{"embeddable":true,"href":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/wp-json\/wp\/v2\/pages\/2029"}],"wp:attachment":[{"href":"https:\/\/bhiggs.x10hosting.com\/PracticalCPlusPlusProgramming\/index.php\/wp-json\/wp\/v2\/media?parent=2038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}