diff --git a/404.html b/404.html
index 1b0e4f5..45ad3ad 100644
--- a/404.html
+++ b/404.html
@@ -6,71 +6,49 @@
 <meta http-equiv="X-UA-Compatible" content="IE=edge">
 <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no">
 <title>Page not found (404) • gpindex</title>
-<!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="https://marberts.github.io/gpindex/favicon-16x16.png">
-<link rel="icon" type="image/png" sizes="32x32" href="https://marberts.github.io/gpindex/favicon-32x32.png">
-<link rel="apple-touch-icon" type="image/png" sizes="180x180" href="https://marberts.github.io/gpindex/apple-touch-icon.png">
-<link rel="apple-touch-icon" type="image/png" sizes="120x120" href="https://marberts.github.io/gpindex/apple-touch-icon-120x120.png">
-<link rel="apple-touch-icon" type="image/png" sizes="76x76" href="https://marberts.github.io/gpindex/apple-touch-icon-76x76.png">
-<link rel="apple-touch-icon" type="image/png" sizes="60x60" href="https://marberts.github.io/gpindex/apple-touch-icon-60x60.png">
 <script src="https://marberts.github.io/gpindex/deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no">
 <link href="https://marberts.github.io/gpindex/deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet">
-<script src="https://marberts.github.io/gpindex/deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous">
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous">
-<!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="https://marberts.github.io/gpindex/pkgdown.js"></script><meta property="og:title" content="Page not found (404)">
+<script src="https://marberts.github.io/gpindex/deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="https://marberts.github.io/gpindex/deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet">
+<link href="https://marberts.github.io/gpindex/deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet">
+<script src="https://marberts.github.io/gpindex/deps/headroom-0.11.0/headroom.min.js"></script><script src="https://marberts.github.io/gpindex/deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="https://marberts.github.io/gpindex/deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="https://marberts.github.io/gpindex/deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="https://marberts.github.io/gpindex/deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="https://marberts.github.io/gpindex/deps/search-1.0.0/fuse.min.js"></script><script src="https://marberts.github.io/gpindex/deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="https://marberts.github.io/gpindex/pkgdown.js"></script><meta property="og:title" content="Page not found (404)">
 <meta property="og:image" content="https://marberts.github.io/gpindex/logo.png">
-<!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]-->
 </head>
 <body>
     <a href="https://marberts.github.io/gpindex/#main" class="visually-hidden-focusable">Skip to contents</a>
-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
-    
+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="https://marberts.github.io/gpindex/index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
       <span class="navbar-toggler-icon"></span>
     </button>
 
     <div id="navbar" class="collapse navbar-collapse ms-3">
       <ul class="navbar-nav me-auto">
-<li class="nav-item">
-  <a class="nav-link" href="https://marberts.github.io/gpindex/articles/gpindex.html">Get started</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="https://marberts.github.io/gpindex/reference/index.html">Reference</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="https://marberts.github.io/gpindex/news/index.html">Changelog</a>
-</li>
+<li class="nav-item"><a class="nav-link" href="https://marberts.github.io/gpindex/articles/gpindex.html">Get started</a></li>
+<li class="nav-item"><a class="nav-link" href="https://marberts.github.io/gpindex/reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="https://marberts.github.io/gpindex/news/index.html">Changelog</a></li>
       </ul>
-<form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="search.json" id="search-input" placeholder="Search for" autocomplete="off">
-</form>
-
-      <ul class="navbar-nav">
-<li class="nav-item">
-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+<ul class="navbar-nav">
+<li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="search.json">
+</form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul>
 </div>
 
-    
+
   </div>
 </nav><div class="container template-title-body">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="https://marberts.github.io/gpindex/logo.png" class="logo" alt=""><h1>Page not found (404)</h1>
-      
+
     </div>
 
 Content not found. Please use links in the navbar.
@@ -80,21 +58,19 @@
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p>
-<p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p>
-<p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer>
 </div>
 
-  
 
-  
+
+
 
   </body>
 </html>
diff --git a/LICENSE-text.html b/LICENSE-text.html
index 459f98e..1dbf40c 100644
--- a/LICENSE-text.html
+++ b/LICENSE-text.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>License • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="apple-touch-icon-60x60.png"><script src="deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="pkgdown.js"></script><meta property="og:title" content="License"><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>License • gpindex</title><script src="deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="deps/headroom-0.11.0/headroom.min.js"></script><script src="deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="deps/search-1.0.0/fuse.min.js"></script><script src="deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="pkgdown.js"></script><meta property="og:title" content="License"><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
     <a href="#main" class="visually-hidden-focusable">Skip to contents</a>
-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
-    
+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
       <span class="navbar-toggler-icon"></span>
     </button>
 
     <div id="navbar" class="collapse navbar-collapse ms-3">
-      <ul class="navbar-nav me-auto"><li class="nav-item">
-  <a class="nav-link" href="articles/gpindex.html">Get started</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="reference/index.html">Reference</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="news/index.html">Changelog</a>
-</li>
-      </ul><form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="search.json" id="search-input" placeholder="Search for" autocomplete="off"></form>
-
-      <ul class="navbar-nav"><li class="nav-item">
-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="articles/gpindex.html">Get started</a></li>
+<li class="nav-item"><a class="nav-link" href="reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-title-body">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="logo.png" class="logo" alt=""><h1>License</h1>
-      
+
     </div>
 
 <pre>YEAR: 2020
@@ -55,18 +40,18 @@
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/LICENSE.html b/LICENSE.html
index 3e8cba4..44a9e7e 100644
--- a/LICENSE.html
+++ b/LICENSE.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
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@@ -78,7 +53,7 @@
       <img src="../logo.png" class="logo" alt=""><h1>Generalized Price and Quantity Indexes</h1>
             
       
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/vignettes/gpindex.Rmd" class="external-link"><code>vignettes/gpindex.Rmd</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/vignettes/gpindex.Rmd" class="external-link"><code>vignettes/gpindex.Rmd</code></a></small>
       <div class="d-none name"><code>gpindex.Rmd</code></div>
     </div>
 
@@ -147,11 +122,14 @@ <h2 id="making-generalized-mean-indexes">Making generalized-mean indexes<a class
 <span><span class="co"># Laspeyres index</span></span>
 <span><span class="fu"><a href="../reference/generalized_mean.html">arithmetic_mean</a></span><span class="op">(</span><span class="va">p1</span> <span class="op">/</span> <span class="va">p0</span>, <span class="va">s0</span><span class="op">)</span></span>
 <span><span class="co">#&gt; [1] 1.4</span></span></code></pre></div>
-<p>Changing the order of the generalized mean to <span class="math inline">\(1 - \sigma\)</span>, where <span class="math inline">\(\sigma\)</span> is an elasticity of substitution,
-gives a Lloyd-Moulton index, whereas changing the weights to
-current-period value-shares gives a Palgrave index. This is the essence
-of the atomistic approach in chapter 2 of Selvanathan and Rao
-(1994).</p>
+<p>Changing the order of the generalized mean to
+<math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1</mn><mo>−</mo><mi>σ</mi></mrow><annotation encoding="application/x-tex">1 - \sigma</annotation></semantics></math>,
+where
+<math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mi>σ</mi><annotation encoding="application/x-tex">\sigma</annotation></semantics></math>
+is an elasticity of substitution, gives a Lloyd-Moulton index, whereas
+changing the weights to current-period value-shares gives a Palgrave
+index. This is the essence of the atomistic approach in chapter 2 of
+Selvanathan and Rao (1994).</p>
 <div class="sourceCode" id="cb2"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="co"># Lloyd-Moulton index (elasticity of substitution -1)</span></span>
 <span><span class="va">quadratic_mean</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/generalized_mean.html">generalized_mean</a></span><span class="op">(</span><span class="fl">2</span><span class="op">)</span></span>
@@ -245,28 +223,26 @@ <h2 id="references">References<a class="anchor" aria-label="anchor" href="#refer
 <p>Selvanathan, E. A. and Rao, D. S. P. (1994). <em>Index Numbers: A
 Stochastic Approach</em>. MacMillan.</p>
 </div>
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-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Articles • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Articles"><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
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-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
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+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
       <span class="navbar-toggler-icon"></span>
     </button>
 
     <div id="navbar" class="collapse navbar-collapse ms-3">
-      <ul class="navbar-nav me-auto"><li class="nav-item">
-  <a class="nav-link" href="../articles/gpindex.html">Get started</a>
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-<li class="nav-item">
-  <a class="nav-link" href="../reference/index.html">Reference</a>
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-  <a class="nav-link" href="../news/index.html">Changelog</a>
-</li>
-      </ul><form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="../search.json" id="search-input" placeholder="Search for" autocomplete="off"></form>
-
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-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-article-index">
 <div class="row">
@@ -48,7 +33,7 @@
 
     <div class="section ">
       <h3>All vignettes</h3>
-      <p class="section-desc"></p>
+      <div class="section-desc"></div>
 
       <dl><dt><a href="gpindex.html">Generalized Price and Quantity Indexes</a></dt>
         <dd>
@@ -57,18 +42,18 @@ <h3>All vignettes</h3>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
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diff --git a/authors.html b/authors.html
index c4ff04f..45cd6c8 100644
--- a/authors.html
+++ b/authors.html
@@ -1,44 +1,29 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Authors and Citation • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="apple-touch-icon-60x60.png"><script src="deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="pkgdown.js"></script><meta property="og:title" content="Authors and Citation"><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Authors and Citation • gpindex</title><script src="deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="deps/headroom-0.11.0/headroom.min.js"></script><script src="deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="deps/search-1.0.0/fuse.min.js"></script><script src="deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="pkgdown.js"></script><meta property="og:title" content="Authors and Citation"><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
     <a href="#main" class="visually-hidden-focusable">Skip to contents</a>
-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
-    
+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
       <span class="navbar-toggler-icon"></span>
     </button>
 
     <div id="navbar" class="collapse navbar-collapse ms-3">
-      <ul class="navbar-nav me-auto"><li class="nav-item">
-  <a class="nav-link" href="articles/gpindex.html">Get started</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="reference/index.html">Reference</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="news/index.html">Changelog</a>
-</li>
-      </ul><form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="search.json" id="search-input" placeholder="Search for" autocomplete="off"></form>
-
-      <ul class="navbar-nav"><li class="nav-item">
-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="articles/gpindex.html">Get started</a></li>
+<li class="nav-item"><a class="nav-link" href="reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-citation-authors">
 <div class="row">
@@ -46,22 +31,22 @@
       <img src="logo.png" class="logo" alt=""><h1>Authors and Citation</h1>
     </div>
 
-    <div class="section level2 citation">
+    <div class="section level2">
       <h2>Authors</h2>
-      
+
       <ul class="list-unstyled"><li>
           <p><strong>Steve Martin</strong>. Author, maintainer, copyright holder. <a href="https://orcid.org/0000-0003-2544-9480" target="orcid.widget" aria-label="ORCID" class="external-link"><span class="fab fa-orcid orcid" aria-hidden="true"></span></a>
           </p>
         </li>
       </ul></div>
 
-    <div class="section level2 citation">
+    <div class="section level2">
       <h2 id="citation">Citation</h2>
-      <p><small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/inst/CITATION" class="external-link"><code>inst/CITATION</code></a></small></p>
+      <p><small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/inst/CITATION" class="external-link"><code>inst/CITATION</code></a></small></p>
 
       <p>Martin S (2024).
 <em>gpindex: Generalized Price and Quantity Indexes</em>.
-<a href="https://doi.org/10.5281/zenodo.10097742" class="external-link">doi:10.5281/zenodo.10097742</a>, R package version 0.6.1, <a href="https://cran.r-project.org/package=gpindex" class="external-link">https://cran.r-project.org/package=gpindex</a>. 
+<a href="https://doi.org/10.5281/zenodo.10097742" class="external-link">doi:10.5281/zenodo.10097742</a>, R package version 0.6.1.9001, <a href="https://cran.r-project.org/package=gpindex" class="external-link">https://cran.r-project.org/package=gpindex</a>.
 </p>
       <pre>@Manual{,
   title = {{gpindex}: Generalized Price and Quantity Indexes},
@@ -69,26 +54,27 @@ <h2 id="citation">Citation</h2>
   year = {2024},
   doi = {10.5281/zenodo.10097742},
   url = {https://cran.r-project.org/package=gpindex},
-  note = {R package version 0.6.1},
+  note = {R package version 0.6.1.9001},
 }</pre>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/deps/bootstrap-5.3.1/bootstrap.min.css b/deps/bootstrap-5.3.1/bootstrap.min.css
index 69c150e..271507e 100644
--- a/deps/bootstrap-5.3.1/bootstrap.min.css
+++ b/deps/bootstrap-5.3.1/bootstrap.min.css
@@ -2,4 +2,4 @@
    * Bootstrap  v5.3.1 (https://getbootstrap.com/)
    * Copyright 2011-2023 The Bootstrap Authors
    * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)
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3),.btn-group>:not(.btn-check)+.btn,.btn-group>.btn-group:not(:first-child)>.btn{border-top-left-radius:0;border-bottom-left-radius:0}.dropdown-toggle-split{padding-right:.5625rem;padding-left:.5625rem}.dropdown-toggle-split::after,.dropup .dropdown-toggle-split::after,.dropend .dropdown-toggle-split::after{margin-left:0}.dropstart .dropdown-toggle-split::before{margin-right:0}.btn-sm+.dropdown-toggle-split,.btn-group-sm>.btn+.dropdown-toggle-split{padding-right:.375rem;padding-left:.375rem}.btn-lg+.dropdown-toggle-split,.btn-group-lg>.btn+.dropdown-toggle-split{padding-right:.75rem;padding-left:.75rem}.btn-group-vertical{flex-direction:column;-webkit-flex-direction:column;align-items:flex-start;-webkit-align-items:flex-start;justify-content:center;-webkit-justify-content:center}.btn-group-vertical>.btn,.btn-group-vertical>.btn-group{width:100%}.btn-group-vertical>.btn:not(:first-child),.btn-group-vertical>.btn-group:not(:first-child){margin-top:calc(var(--bs-border-width) * 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var(--bs-nav-link-padding-x);font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);color:var(--bs-nav-link-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background:none;border:0;transition:color 0.15s ease-in-out,background-color 0.15s ease-in-out,border-color 0.15s ease-in-out}@media (prefers-reduced-motion: reduce){.nav-link{transition:none}}.nav-link:hover,.nav-link:focus{color:var(--bs-nav-link-hover-color)}.nav-link:focus-visible{outline:0;box-shadow:0 0 0 .25rem rgba(233,84,32,0.25)}.nav-link.disabled,.nav-link:disabled{color:var(--bs-nav-link-disabled-color);pointer-events:none;cursor:default}.nav-tabs{--bs-nav-tabs-border-width: var(--bs-border-width);--bs-nav-tabs-border-color: var(--bs-border-color);--bs-nav-tabs-border-radius: var(--bs-border-radius);--bs-nav-tabs-link-hover-border-color: var(--bs-secondary-bg) var(--bs-secondary-bg) var(--bs-border-color);--bs-nav-tabs-link-active-color: var(--bs-emphasis-color);--bs-nav-tabs-link-active-bg: var(--bs-body-bg);--bs-nav-tabs-link-active-border-color: var(--bs-border-color) var(--bs-border-color) var(--bs-body-bg);border-bottom:var(--bs-nav-tabs-border-width) solid var(--bs-nav-tabs-border-color)}.nav-tabs .nav-link{margin-bottom:calc(-1 * var(--bs-nav-tabs-border-width));border:var(--bs-nav-tabs-border-width) solid transparent;border-top-left-radius:var(--bs-nav-tabs-border-radius);border-top-right-radius:var(--bs-nav-tabs-border-radius)}.nav-tabs .nav-link:hover,.nav-tabs .nav-link:focus{isolation:isolate;border-color:var(--bs-nav-tabs-link-hover-border-color)}.nav-tabs .nav-link.active,.nav-tabs .nav-item.show .nav-link{color:var(--bs-nav-tabs-link-active-color);background-color:var(--bs-nav-tabs-link-active-bg);border-color:var(--bs-nav-tabs-link-active-border-color)}.nav-tabs .dropdown-menu{margin-top:calc(-1 * var(--bs-nav-tabs-border-width));border-top-left-radius:0;border-top-right-radius:0}.nav-pills{--bs-nav-pills-border-radius: var(--bs-border-radius);--bs-nav-pills-link-active-color: #fff;--bs-nav-pills-link-active-bg: #e95420}.nav-pills .nav-link{border-radius:var(--bs-nav-pills-border-radius)}.nav-pills .nav-link.active,.nav-pills .show>.nav-link{color:var(--bs-nav-pills-link-active-color);background-color:var(--bs-nav-pills-link-active-bg)}.nav-underline{--bs-nav-underline-gap: 1rem;--bs-nav-underline-border-width: .125rem;--bs-nav-underline-link-active-color: var(--bs-emphasis-color);gap:var(--bs-nav-underline-gap)}.nav-underline .nav-link{padding-right:0;padding-left:0;border-bottom:var(--bs-nav-underline-border-width) solid transparent}.nav-underline .nav-link:hover,.nav-underline .nav-link:focus{border-bottom-color:currentcolor}.nav-underline .nav-link.active,.nav-underline .show>.nav-link{font-weight:700;color:var(--bs-nav-underline-link-active-color);border-bottom-color:currentcolor}.nav-fill>.nav-link,.nav-fill .nav-item{flex:1 1 auto;-webkit-flex:1 1 auto;text-align:center}.nav-justified>.nav-link,.nav-justified .nav-item{flex-basis:0;-webkit-flex-basis:0;flex-grow:1;-webkit-flex-grow:1;text-align:center}.nav-fill .nav-item .nav-link,.nav-justified .nav-item .nav-link{width:100%}.tab-content>.tab-pane{display:none}.tab-content>.active{display:block}.navbar{--bs-navbar-padding-x: 0;--bs-navbar-padding-y: .5rem;--bs-navbar-color: rgba(255,255,255,0.65);--bs-navbar-hover-color: rgba(255,255,255,0.8);--bs-navbar-disabled-color: rgba(255,255,255,0.3);--bs-navbar-active-color: #fff;--bs-navbar-brand-padding-y: .3125rem;--bs-navbar-brand-margin-end: 1rem;--bs-navbar-brand-font-size: 1.25rem;--bs-navbar-brand-color: #fff;--bs-navbar-brand-hover-color: #fff;--bs-navbar-nav-link-padding-x: .5rem;--bs-navbar-toggler-padding-y: .25rem;--bs-navbar-toggler-padding-x: .75rem;--bs-navbar-toggler-font-size: 1.25rem;--bs-navbar-toggler-icon-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'%3e%3cpath stroke='rgba%28255,255,255,0.75%29' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e");--bs-navbar-toggler-border-color: rgba(255,255,255,0.15);--bs-navbar-toggler-border-radius: var(--bs-border-radius);--bs-navbar-toggler-focus-width: .25rem;--bs-navbar-toggler-transition: box-shadow 0.15s ease-in-out;position:relative;display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;align-items:center;-webkit-align-items:center;justify-content:space-between;-webkit-justify-content:space-between;padding:var(--bs-navbar-padding-y) 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var(--bs-navbar-hover-color);--bs-nav-link-disabled-color: var(--bs-navbar-disabled-color);display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;padding-left:0;margin-bottom:0;list-style:none}.navbar-nav .nav-link.active,.navbar-nav .nav-link.show{color:var(--bs-navbar-active-color)}.navbar-nav .dropdown-menu{position:static}.navbar-text{padding-top:.5rem;padding-bottom:.5rem;color:var(--bs-navbar-color)}.navbar-text a,.navbar-text a:hover,.navbar-text a:focus{color:var(--bs-navbar-active-color)}.navbar-collapse{flex-basis:100%;-webkit-flex-basis:100%;flex-grow:1;-webkit-flex-grow:1;align-items:center;-webkit-align-items:center}.navbar-toggler{padding:var(--bs-navbar-toggler-padding-y) var(--bs-navbar-toggler-padding-x);font-size:var(--bs-navbar-toggler-font-size);line-height:1;color:var(--bs-navbar-color);background-color:transparent;border:var(--bs-border-width) solid 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.navbar-nav{flex-direction:row;-webkit-flex-direction:row}.navbar-expand-md .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-md .navbar-nav .nav-link{padding-right:var(--bs-navbar-nav-link-padding-x);padding-left:var(--bs-navbar-nav-link-padding-x)}.navbar-expand-md .navbar-nav-scroll{overflow:visible}.navbar-expand-md .navbar-collapse{display:flex !important;display:-webkit-flex !important;flex-basis:auto;-webkit-flex-basis:auto}.navbar-expand-md .navbar-toggler{display:none}.navbar-expand-md .offcanvas{position:static;z-index:auto;flex-grow:1;-webkit-flex-grow:1;width:auto !important;height:auto !important;visibility:visible !important;background-color:transparent !important;border:0 !important;transform:none !important;transition:none}.navbar-expand-md .offcanvas .offcanvas-header{display:none}.navbar-expand-md .offcanvas .offcanvas-body{display:flex;display:-webkit-flex;flex-grow:0;-webkit-flex-grow:0;padding:0;overflow-y:visible}}@media (min-width: 992px){.navbar-expand-lg{flex-wrap:nowrap;-webkit-flex-wrap:nowrap;justify-content:flex-start;-webkit-justify-content:flex-start}.navbar-expand-lg .navbar-nav{flex-direction:row;-webkit-flex-direction:row}.navbar-expand-lg .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-lg .navbar-nav .nav-link{padding-right:var(--bs-navbar-nav-link-padding-x);padding-left:var(--bs-navbar-nav-link-padding-x)}.navbar-expand-lg .navbar-nav-scroll{overflow:visible}.navbar-expand-lg .navbar-collapse{display:flex !important;display:-webkit-flex !important;flex-basis:auto;-webkit-flex-basis:auto}.navbar-expand-lg .navbar-toggler{display:none}.navbar-expand-lg .offcanvas{position:static;z-index:auto;flex-grow:1;-webkit-flex-grow:1;width:auto !important;height:auto !important;visibility:visible !important;background-color:transparent !important;border:0 !important;transform:none !important;transition:none}.navbar-expand-lg .offcanvas .offcanvas-header{display:none}.navbar-expand-lg .offcanvas 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.offcanvas{position:static;z-index:auto;flex-grow:1;-webkit-flex-grow:1;width:auto !important;height:auto !important;visibility:visible !important;background-color:transparent !important;border:0 !important;transform:none !important;transition:none}.navbar-expand-xxl .offcanvas .offcanvas-header{display:none}.navbar-expand-xxl .offcanvas .offcanvas-body{display:flex;display:-webkit-flex;flex-grow:0;-webkit-flex-grow:0;padding:0;overflow-y:visible}}.navbar-expand{flex-wrap:nowrap;-webkit-flex-wrap:nowrap;justify-content:flex-start;-webkit-justify-content:flex-start}.navbar-expand .navbar-nav{flex-direction:row;-webkit-flex-direction:row}.navbar-expand .navbar-nav .dropdown-menu{position:absolute}.navbar-expand .navbar-nav .nav-link{padding-right:var(--bs-navbar-nav-link-padding-x);padding-left:var(--bs-navbar-nav-link-padding-x)}.navbar-expand .navbar-nav-scroll{overflow:visible}.navbar-expand .navbar-collapse{display:flex !important;display:-webkit-flex 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30'%3e%3cpath stroke='rgba%28255,255,255,0.75%29' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}[data-bs-theme="dark"] .navbar-toggler-icon{--bs-navbar-toggler-icon-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'%3e%3cpath stroke='rgba%28255,255,255,0.75%29' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}.card{--bs-card-spacer-y: 1rem;--bs-card-spacer-x: 1rem;--bs-card-title-spacer-y: .5rem;--bs-card-title-color: ;--bs-card-subtitle-color: ;--bs-card-border-width: var(--bs-border-width);--bs-card-border-color: var(--bs-border-color-translucent);--bs-card-border-radius: var(--bs-border-radius);--bs-card-box-shadow: ;--bs-card-inner-border-radius: calc(var(--bs-border-radius) - (var(--bs-border-width)));--bs-card-cap-padding-y: .5rem;--bs-card-cap-padding-x: 1rem;--bs-card-cap-bg: rgba(var(--bs-body-color-rgb), 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ease-in-out,border-color 0.15s ease-in-out,box-shadow 0.15s ease-in-out,border-radius 0.15s ease;--bs-accordion-border-color: var(--bs-border-color);--bs-accordion-border-width: var(--bs-border-width);--bs-accordion-border-radius: var(--bs-border-radius);--bs-accordion-inner-border-radius: calc(var(--bs-border-radius) - (var(--bs-border-width)));--bs-accordion-btn-padding-x: 1.25rem;--bs-accordion-btn-padding-y: 1rem;--bs-accordion-btn-color: var(--bs-body-color);--bs-accordion-btn-bg: var(--bs-accordion-bg);--bs-accordion-btn-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23333'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-icon-width: 1.25rem;--bs-accordion-btn-icon-transform: rotate(-180deg);--bs-accordion-btn-icon-transition: transform 0.2s ease-in-out;--bs-accordion-btn-active-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%235d220d'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-focus-border-color: #f4aa90;--bs-accordion-btn-focus-box-shadow: 0 0 0 .25rem rgba(233,84,32,0.25);--bs-accordion-body-padding-x: 1.25rem;--bs-accordion-body-padding-y: 1rem;--bs-accordion-active-color: var(--bs-primary-text-emphasis);--bs-accordion-active-bg: var(--bs-primary-bg-subtle)}.accordion-button{position:relative;display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;width:100%;padding:var(--bs-accordion-btn-padding-y) var(--bs-accordion-btn-padding-x);font-size:1rem;color:var(--bs-accordion-btn-color);text-align:left;background-color:var(--bs-accordion-btn-bg);border:0;border-radius:0;overflow-anchor:none;transition:var(--bs-accordion-transition)}@media (prefers-reduced-motion: reduce){.accordion-button{transition:none}}.accordion-button:not(.collapsed){color:var(--bs-accordion-active-color);background-color:var(--bs-accordion-active-bg);box-shadow:inset 0 calc(-1 * var(--bs-accordion-border-width)) 0 var(--bs-accordion-border-color)}.accordion-button:not(.collapsed)::after{background-image:var(--bs-accordion-btn-active-icon);transform:var(--bs-accordion-btn-icon-transform)}.accordion-button::after{flex-shrink:0;-webkit-flex-shrink:0;width:var(--bs-accordion-btn-icon-width);height:var(--bs-accordion-btn-icon-width);margin-left:auto;content:"";background-image:var(--bs-accordion-btn-icon);background-repeat:no-repeat;background-size:var(--bs-accordion-btn-icon-width);transition:var(--bs-accordion-btn-icon-transition)}@media (prefers-reduced-motion: reduce){.accordion-button::after{transition:none}}.accordion-button:hover{z-index:2}.accordion-button:focus{z-index:3;border-color:var(--bs-accordion-btn-focus-border-color);outline:0;box-shadow:var(--bs-accordion-btn-focus-box-shadow)}.accordion-header{margin-bottom:0}.accordion-item{color:var(--bs-accordion-color);background-color:var(--bs-accordion-bg);border:var(--bs-accordion-border-width) solid var(--bs-accordion-border-color)}.accordion-item:first-of-type{border-top-left-radius:var(--bs-accordion-border-radius);border-top-right-radius:var(--bs-accordion-border-radius)}.accordion-item:first-of-type .accordion-button{border-top-left-radius:var(--bs-accordion-inner-border-radius);border-top-right-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:not(:first-of-type){border-top:0}.accordion-item:last-of-type{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-item:last-of-type .accordion-button.collapsed{border-bottom-right-radius:var(--bs-accordion-inner-border-radius);border-bottom-left-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:last-of-type .accordion-collapse{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-body{padding:var(--bs-accordion-body-padding-y) var(--bs-accordion-body-padding-x)}.accordion-flush .accordion-collapse{border-width:0}.accordion-flush .accordion-item{border-right:0;border-left:0;border-radius:0}.accordion-flush .accordion-item:first-child{border-top:0}.accordion-flush .accordion-item:last-child{border-bottom:0}.accordion-flush .accordion-item .accordion-button,.accordion-flush .accordion-item .accordion-button.collapsed{border-radius:0}[data-bs-theme="dark"] .accordion-button::after{--bs-accordion-btn-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23f29879'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-active-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23f29879'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e")}.breadcrumb{--bs-breadcrumb-padding-x: 0;--bs-breadcrumb-padding-y: 0;--bs-breadcrumb-margin-bottom: 1rem;--bs-breadcrumb-bg: ;--bs-breadcrumb-border-radius: ;--bs-breadcrumb-divider-color: var(--bs-secondary-color);--bs-breadcrumb-item-padding-x: .5rem;--bs-breadcrumb-item-active-color: var(--bs-secondary-color);display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;padding:var(--bs-breadcrumb-padding-y) var(--bs-breadcrumb-padding-x);margin-bottom:var(--bs-breadcrumb-margin-bottom);font-size:var(--bs-breadcrumb-font-size);list-style:none;background-color:var(--bs-breadcrumb-bg);border-radius:var(--bs-breadcrumb-border-radius)}.breadcrumb-item+.breadcrumb-item{padding-left:var(--bs-breadcrumb-item-padding-x)}.breadcrumb-item+.breadcrumb-item::before{float:left;padding-right:var(--bs-breadcrumb-item-padding-x);color:var(--bs-breadcrumb-divider-color);content:var(--bs-breadcrumb-divider, "/") /* rtl: var(--bs-breadcrumb-divider, "/") */}.breadcrumb-item.active{color:var(--bs-breadcrumb-item-active-color)}.pagination{--bs-pagination-padding-x: .75rem;--bs-pagination-padding-y: .375rem;--bs-pagination-font-size:1rem;--bs-pagination-color: var(--bs-link-color);--bs-pagination-bg: var(--bs-body-bg);--bs-pagination-border-width: var(--bs-border-width);--bs-pagination-border-color: var(--bs-border-color);--bs-pagination-border-radius: var(--bs-border-radius);--bs-pagination-hover-color: var(--bs-link-hover-color);--bs-pagination-hover-bg: var(--bs-tertiary-bg);--bs-pagination-hover-border-color: var(--bs-border-color);--bs-pagination-focus-color: var(--bs-link-hover-color);--bs-pagination-focus-bg: var(--bs-secondary-bg);--bs-pagination-focus-box-shadow: 0 0 0 .25rem rgba(233,84,32,0.25);--bs-pagination-active-color: #fff;--bs-pagination-active-bg: #e95420;--bs-pagination-active-border-color: #e95420;--bs-pagination-disabled-color: var(--bs-secondary-color);--bs-pagination-disabled-bg: var(--bs-secondary-bg);--bs-pagination-disabled-border-color: var(--bs-border-color);display:flex;display:-webkit-flex;padding-left:0;list-style:none}.page-link{position:relative;display:block;padding:var(--bs-pagination-padding-y) var(--bs-pagination-padding-x);font-size:var(--bs-pagination-font-size);color:var(--bs-pagination-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-pagination-bg);border:var(--bs-pagination-border-width) solid var(--bs-pagination-border-color);transition:color 0.15s ease-in-out,background-color 0.15s ease-in-out,border-color 0.15s ease-in-out,box-shadow 0.15s ease-in-out}@media (prefers-reduced-motion: reduce){.page-link{transition:none}}.page-link:hover{z-index:2;color:var(--bs-pagination-hover-color);background-color:var(--bs-pagination-hover-bg);border-color:var(--bs-pagination-hover-border-color)}.page-link:focus{z-index:3;color:var(--bs-pagination-focus-color);background-color:var(--bs-pagination-focus-bg);outline:0;box-shadow:var(--bs-pagination-focus-box-shadow)}.page-link.active,.active>.page-link{z-index:3;color:var(--bs-pagination-active-color);background-color:var(--bs-pagination-active-bg);border-color:var(--bs-pagination-active-border-color)}.page-link.disabled,.disabled>.page-link{color:var(--bs-pagination-disabled-color);pointer-events:none;background-color:var(--bs-pagination-disabled-bg);border-color:var(--bs-pagination-disabled-border-color)}.page-item:not(:first-child) .page-link{margin-left:calc(var(--bs-border-width) * -1)}.page-item:first-child .page-link{border-top-left-radius:var(--bs-pagination-border-radius);border-bottom-left-radius:var(--bs-pagination-border-radius)}.page-item:last-child .page-link{border-top-right-radius:var(--bs-pagination-border-radius);border-bottom-right-radius:var(--bs-pagination-border-radius)}.pagination-lg{--bs-pagination-padding-x: 1.5rem;--bs-pagination-padding-y: .75rem;--bs-pagination-font-size:1.25rem;--bs-pagination-border-radius: var(--bs-border-radius-lg)}.pagination-sm{--bs-pagination-padding-x: .5rem;--bs-pagination-padding-y: .25rem;--bs-pagination-font-size:.875rem;--bs-pagination-border-radius: var(--bs-border-radius-sm)}.badge{--bs-badge-padding-x: .65em;--bs-badge-padding-y: .35em;--bs-badge-font-size:.75em;--bs-badge-font-weight: 700;--bs-badge-color: #fff;--bs-badge-border-radius: var(--bs-border-radius);display:inline-block;padding:var(--bs-badge-padding-y) var(--bs-badge-padding-x);font-size:var(--bs-badge-font-size);font-weight:var(--bs-badge-font-weight);line-height:1;color:var(--bs-badge-color);text-align:center;white-space:nowrap;vertical-align:baseline;border-radius:var(--bs-badge-border-radius)}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}.alert{--bs-alert-bg: transparent;--bs-alert-padding-x: 1rem;--bs-alert-padding-y: 1rem;--bs-alert-margin-bottom: 1rem;--bs-alert-color: inherit;--bs-alert-border-color: transparent;--bs-alert-border: var(--bs-border-width) solid var(--bs-alert-border-color);--bs-alert-border-radius: var(--bs-border-radius);--bs-alert-link-color: inherit;position:relative;padding:var(--bs-alert-padding-y) var(--bs-alert-padding-x);margin-bottom:var(--bs-alert-margin-bottom);color:var(--bs-alert-color);background-color:var(--bs-alert-bg);border:var(--bs-alert-border);border-radius:var(--bs-alert-border-radius)}.alert-heading{color:inherit}.alert-link{font-weight:700;color:var(--bs-alert-link-color)}.alert-dismissible{padding-right:3rem}.alert-dismissible .btn-close{position:absolute;top:0;right:0;z-index:2;padding:1.25rem 1rem}.alert-default{--bs-alert-color: var(--bs-default-text-emphasis);--bs-alert-bg: var(--bs-default-bg-subtle);--bs-alert-border-color: var(--bs-default-border-subtle);--bs-alert-link-color: var(--bs-default-text-emphasis)}.alert-primary{--bs-alert-color: var(--bs-primary-text-emphasis);--bs-alert-bg: var(--bs-primary-bg-subtle);--bs-alert-border-color: var(--bs-primary-border-subtle);--bs-alert-link-color: var(--bs-primary-text-emphasis)}.alert-secondary{--bs-alert-color: var(--bs-secondary-text-emphasis);--bs-alert-bg: var(--bs-secondary-bg-subtle);--bs-alert-border-color: var(--bs-secondary-border-subtle);--bs-alert-link-color: var(--bs-secondary-text-emphasis)}.alert-success{--bs-alert-color: var(--bs-success-text-emphasis);--bs-alert-bg: var(--bs-success-bg-subtle);--bs-alert-border-color: var(--bs-success-border-subtle);--bs-alert-link-color: var(--bs-success-text-emphasis)}.alert-info{--bs-alert-color: var(--bs-info-text-emphasis);--bs-alert-bg: var(--bs-info-bg-subtle);--bs-alert-border-color: var(--bs-info-border-subtle);--bs-alert-link-color: var(--bs-info-text-emphasis)}.alert-warning{--bs-alert-color: var(--bs-warning-text-emphasis);--bs-alert-bg: var(--bs-warning-bg-subtle);--bs-alert-border-color: var(--bs-warning-border-subtle);--bs-alert-link-color: var(--bs-warning-text-emphasis)}.alert-danger{--bs-alert-color: var(--bs-danger-text-emphasis);--bs-alert-bg: var(--bs-danger-bg-subtle);--bs-alert-border-color: var(--bs-danger-border-subtle);--bs-alert-link-color: var(--bs-danger-text-emphasis)}.alert-light{--bs-alert-color: var(--bs-light-text-emphasis);--bs-alert-bg: var(--bs-light-bg-subtle);--bs-alert-border-color: var(--bs-light-border-subtle);--bs-alert-link-color: var(--bs-light-text-emphasis)}.alert-dark{--bs-alert-color: var(--bs-dark-text-emphasis);--bs-alert-bg: var(--bs-dark-bg-subtle);--bs-alert-border-color: var(--bs-dark-border-subtle);--bs-alert-link-color: var(--bs-dark-text-emphasis)}@keyframes progress-bar-stripes{0%{background-position-x:1rem}}.progress,.progress-stacked{--bs-progress-height: 1rem;--bs-progress-font-size:.75rem;--bs-progress-bg: var(--bs-secondary-bg);--bs-progress-border-radius: var(--bs-border-radius);--bs-progress-box-shadow: var(--bs-box-shadow-inset);--bs-progress-bar-color: #fff;--bs-progress-bar-bg: #e95420;--bs-progress-bar-transition: width 0.6s ease;display:flex;display:-webkit-flex;height:var(--bs-progress-height);overflow:hidden;font-size:var(--bs-progress-font-size);background-color:var(--bs-progress-bg);border-radius:var(--bs-progress-border-radius)}.progress-bar{display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;justify-content:center;-webkit-justify-content:center;overflow:hidden;color:var(--bs-progress-bar-color);text-align:center;white-space:nowrap;background-color:var(--bs-progress-bar-bg);transition:var(--bs-progress-bar-transition)}@media (prefers-reduced-motion: reduce){.progress-bar{transition:none}}.progress-bar-striped{background-image:linear-gradient(45deg, rgba(255,255,255,0.15) 25%, transparent 25%, transparent 50%, rgba(255,255,255,0.15) 50%, rgba(255,255,255,0.15) 75%, transparent 75%, transparent);background-size:var(--bs-progress-height) var(--bs-progress-height)}.progress-stacked>.progress{overflow:visible}.progress-stacked>.progress>.progress-bar{width:100%}.progress-bar-animated{animation:1s linear infinite progress-bar-stripes}@media (prefers-reduced-motion: reduce){.progress-bar-animated{animation:none}}.list-group{--bs-list-group-color: var(--bs-body-color);--bs-list-group-bg: var(--bs-body-bg);--bs-list-group-border-color: var(--bs-border-color);--bs-list-group-border-width: var(--bs-border-width);--bs-list-group-border-radius: var(--bs-border-radius);--bs-list-group-item-padding-x: 1rem;--bs-list-group-item-padding-y: .5rem;--bs-list-group-action-color: var(--bs-secondary-color);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-tertiary-bg);--bs-list-group-action-active-color: var(--bs-body-color);--bs-list-group-action-active-bg: var(--bs-secondary-bg);--bs-list-group-disabled-color: var(--bs-secondary-color);--bs-list-group-disabled-bg: var(--bs-body-bg);--bs-list-group-active-color: #fff;--bs-list-group-active-bg: #e95420;--bs-list-group-active-border-color: #e95420;display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;padding-left:0;margin-bottom:0;border-radius:var(--bs-list-group-border-radius)}.list-group-numbered{list-style-type:none;counter-reset:section}.list-group-numbered>.list-group-item::before{content:counters(section, ".") ". ";counter-increment:section}.list-group-item-action{width:100%;color:var(--bs-list-group-action-color);text-align:inherit}.list-group-item-action:hover,.list-group-item-action:focus{z-index:1;color:var(--bs-list-group-action-hover-color);text-decoration:none;background-color:var(--bs-list-group-action-hover-bg)}.list-group-item-action:active{color:var(--bs-list-group-action-active-color);background-color:var(--bs-list-group-action-active-bg)}.list-group-item{position:relative;display:block;padding:var(--bs-list-group-item-padding-y) var(--bs-list-group-item-padding-x);color:var(--bs-list-group-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-list-group-bg);border:var(--bs-list-group-border-width) solid var(--bs-list-group-border-color)}.list-group-item:first-child{border-top-left-radius:inherit;border-top-right-radius:inherit}.list-group-item:last-child{border-bottom-right-radius:inherit;border-bottom-left-radius:inherit}.list-group-item.disabled,.list-group-item:disabled{color:var(--bs-list-group-disabled-color);pointer-events:none;background-color:var(--bs-list-group-disabled-bg)}.list-group-item.active{z-index:2;color:var(--bs-list-group-active-color);background-color:var(--bs-list-group-active-bg);border-color:var(--bs-list-group-active-border-color)}.list-group-item+.list-group-item{border-top-width:0}.list-group-item+.list-group-item.active{margin-top:calc(-1 * var(--bs-list-group-border-width));border-top-width:var(--bs-list-group-border-width)}.list-group-horizontal{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal>.list-group-item.active{margin-top:0}.list-group-horizontal>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}@media (min-width: 576px){.list-group-horizontal-sm{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-sm>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-sm>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-sm>.list-group-item.active{margin-top:0}.list-group-horizontal-sm>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-sm>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media (min-width: 768px){.list-group-horizontal-md{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-md>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-md>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-md>.list-group-item.active{margin-top:0}.list-group-horizontal-md>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-md>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media (min-width: 992px){.list-group-horizontal-lg{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-lg>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-lg>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-lg>.list-group-item.active{margin-top:0}.list-group-horizontal-lg>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-lg>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media (min-width: 1200px){.list-group-horizontal-xl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xl>.list-group-item.active{margin-top:0}.list-group-horizontal-xl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xl>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media (min-width: 1400px){.list-group-horizontal-xxl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xxl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xxl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xxl>.list-group-item.active{margin-top:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}.list-group-flush{border-radius:0}.list-group-flush>.list-group-item{border-width:0 0 var(--bs-list-group-border-width)}.list-group-flush>.list-group-item:last-child{border-bottom-width:0}.list-group-item-default{--bs-list-group-color: var(--bs-default-text-emphasis);--bs-list-group-bg: var(--bs-default-bg-subtle);--bs-list-group-border-color: var(--bs-default-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-default-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-default-border-subtle);--bs-list-group-active-color: var(--bs-default-bg-subtle);--bs-list-group-active-bg: var(--bs-default-text-emphasis);--bs-list-group-active-border-color: var(--bs-default-text-emphasis)}.list-group-item-primary{--bs-list-group-color: var(--bs-primary-text-emphasis);--bs-list-group-bg: var(--bs-primary-bg-subtle);--bs-list-group-border-color: var(--bs-primary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-primary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-primary-border-subtle);--bs-list-group-active-color: var(--bs-primary-bg-subtle);--bs-list-group-active-bg: var(--bs-primary-text-emphasis);--bs-list-group-active-border-color: var(--bs-primary-text-emphasis)}.list-group-item-secondary{--bs-list-group-color: var(--bs-secondary-text-emphasis);--bs-list-group-bg: var(--bs-secondary-bg-subtle);--bs-list-group-border-color: var(--bs-secondary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-secondary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-secondary-border-subtle);--bs-list-group-active-color: var(--bs-secondary-bg-subtle);--bs-list-group-active-bg: var(--bs-secondary-text-emphasis);--bs-list-group-active-border-color: var(--bs-secondary-text-emphasis)}.list-group-item-success{--bs-list-group-color: var(--bs-success-text-emphasis);--bs-list-group-bg: var(--bs-success-bg-subtle);--bs-list-group-border-color: var(--bs-success-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-success-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-success-border-subtle);--bs-list-group-active-color: var(--bs-success-bg-subtle);--bs-list-group-active-bg: var(--bs-success-text-emphasis);--bs-list-group-active-border-color: var(--bs-success-text-emphasis)}.list-group-item-info{--bs-list-group-color: var(--bs-info-text-emphasis);--bs-list-group-bg: var(--bs-info-bg-subtle);--bs-list-group-border-color: var(--bs-info-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-info-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-info-border-subtle);--bs-list-group-active-color: var(--bs-info-bg-subtle);--bs-list-group-active-bg: var(--bs-info-text-emphasis);--bs-list-group-active-border-color: var(--bs-info-text-emphasis)}.list-group-item-warning{--bs-list-group-color: var(--bs-warning-text-emphasis);--bs-list-group-bg: var(--bs-warning-bg-subtle);--bs-list-group-border-color: var(--bs-warning-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-warning-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-warning-border-subtle);--bs-list-group-active-color: var(--bs-warning-bg-subtle);--bs-list-group-active-bg: var(--bs-warning-text-emphasis);--bs-list-group-active-border-color: var(--bs-warning-text-emphasis)}.list-group-item-danger{--bs-list-group-color: var(--bs-danger-text-emphasis);--bs-list-group-bg: var(--bs-danger-bg-subtle);--bs-list-group-border-color: var(--bs-danger-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-danger-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-danger-border-subtle);--bs-list-group-active-color: var(--bs-danger-bg-subtle);--bs-list-group-active-bg: var(--bs-danger-text-emphasis);--bs-list-group-active-border-color: var(--bs-danger-text-emphasis)}.list-group-item-light{--bs-list-group-color: var(--bs-light-text-emphasis);--bs-list-group-bg: var(--bs-light-bg-subtle);--bs-list-group-border-color: var(--bs-light-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-light-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-light-border-subtle);--bs-list-group-active-color: var(--bs-light-bg-subtle);--bs-list-group-active-bg: var(--bs-light-text-emphasis);--bs-list-group-active-border-color: var(--bs-light-text-emphasis)}.list-group-item-dark{--bs-list-group-color: var(--bs-dark-text-emphasis);--bs-list-group-bg: var(--bs-dark-bg-subtle);--bs-list-group-border-color: var(--bs-dark-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-dark-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-dark-border-subtle);--bs-list-group-active-color: var(--bs-dark-bg-subtle);--bs-list-group-active-bg: var(--bs-dark-text-emphasis);--bs-list-group-active-border-color: var(--bs-dark-text-emphasis)}.btn-close{--bs-btn-close-color: #000;--bs-btn-close-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23000'%3e%3cpath d='M.293.293a1 1 0 0 1 1.414 0L8 6.586 14.293.293a1 1 0 1 1 1.414 1.414L9.414 8l6.293 6.293a1 1 0 0 1-1.414 1.414L8 9.414l-6.293 6.293a1 1 0 0 1-1.414-1.414L6.586 8 .293 1.707a1 1 0 0 1 0-1.414z'/%3e%3c/svg%3e");--bs-btn-close-opacity: .5;--bs-btn-close-hover-opacity: .75;--bs-btn-close-focus-shadow: 0 0 0 .25rem rgba(233,84,32,0.25);--bs-btn-close-focus-opacity: 1;--bs-btn-close-disabled-opacity: .25;--bs-btn-close-white-filter: invert(1) grayscale(100%) brightness(200%);box-sizing:content-box;width:1em;height:1em;padding:.25em .25em;color:var(--bs-btn-close-color);background:transparent var(--bs-btn-close-bg) center/1em auto no-repeat;border:0;border-radius:.375rem;opacity:var(--bs-btn-close-opacity)}.btn-close:hover{color:var(--bs-btn-close-color);text-decoration:none;opacity:var(--bs-btn-close-hover-opacity)}.btn-close:focus{outline:0;box-shadow:var(--bs-btn-close-focus-shadow);opacity:var(--bs-btn-close-focus-opacity)}.btn-close:disabled,.btn-close.disabled{pointer-events:none;user-select:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;-o-user-select:none;opacity:var(--bs-btn-close-disabled-opacity)}.btn-close-white{filter:var(--bs-btn-close-white-filter)}[data-bs-theme="dark"] .btn-close{filter:var(--bs-btn-close-white-filter)}.toast{--bs-toast-zindex: 1090;--bs-toast-padding-x: .75rem;--bs-toast-padding-y: .5rem;--bs-toast-spacing: 1.5rem;--bs-toast-max-width: 350px;--bs-toast-font-size:.875rem;--bs-toast-color: ;--bs-toast-bg: rgba(var(--bs-body-bg-rgb), 0.85);--bs-toast-border-width: var(--bs-border-width);--bs-toast-border-color: var(--bs-border-color-translucent);--bs-toast-border-radius: var(--bs-border-radius);--bs-toast-box-shadow: var(--bs-box-shadow);--bs-toast-header-color: var(--bs-secondary-color);--bs-toast-header-bg: rgba(var(--bs-body-bg-rgb), 0.85);--bs-toast-header-border-color: var(--bs-border-color-translucent);width:var(--bs-toast-max-width);max-width:100%;font-size:var(--bs-toast-font-size);color:var(--bs-toast-color);pointer-events:auto;background-color:var(--bs-toast-bg);background-clip:padding-box;border:var(--bs-toast-border-width) solid var(--bs-toast-border-color);box-shadow:var(--bs-toast-box-shadow);border-radius:var(--bs-toast-border-radius)}.toast.showing{opacity:0}.toast:not(.show){display:none}.toast-container{--bs-toast-zindex: 1090;position:absolute;z-index:var(--bs-toast-zindex);width:max-content;width:-webkit-max-content;width:-moz-max-content;width:-ms-max-content;width:-o-max-content;max-width:100%;pointer-events:none}.toast-container>:not(:last-child){margin-bottom:var(--bs-toast-spacing)}.toast-header{display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;padding:var(--bs-toast-padding-y) var(--bs-toast-padding-x);color:var(--bs-toast-header-color);background-color:var(--bs-toast-header-bg);background-clip:padding-box;border-bottom:var(--bs-toast-border-width) solid var(--bs-toast-header-border-color);border-top-left-radius:calc(var(--bs-toast-border-radius) - var(--bs-toast-border-width));border-top-right-radius:calc(var(--bs-toast-border-radius) - var(--bs-toast-border-width))}.toast-header .btn-close{margin-right:calc(-.5 * var(--bs-toast-padding-x));margin-left:var(--bs-toast-padding-x)}.toast-body{padding:var(--bs-toast-padding-x);word-wrap:break-word}.modal{--bs-modal-zindex: 1055;--bs-modal-width: 500px;--bs-modal-padding: 1rem;--bs-modal-margin: .5rem;--bs-modal-color: ;--bs-modal-bg: var(--bs-body-bg);--bs-modal-border-color: var(--bs-border-color-translucent);--bs-modal-border-width: var(--bs-border-width);--bs-modal-border-radius: var(--bs-border-radius-lg);--bs-modal-box-shadow: 0 0.125rem 0.25rem rgba(0,0,0,0.075);--bs-modal-inner-border-radius: calc(var(--bs-border-radius-lg) - (var(--bs-border-width)));--bs-modal-header-padding-x: 1rem;--bs-modal-header-padding-y: 1rem;--bs-modal-header-padding: 1rem 1rem;--bs-modal-header-border-color: var(--bs-border-color);--bs-modal-header-border-width: var(--bs-border-width);--bs-modal-title-line-height: 1.5;--bs-modal-footer-gap: .5rem;--bs-modal-footer-bg: ;--bs-modal-footer-border-color: var(--bs-border-color);--bs-modal-footer-border-width: var(--bs-border-width);position:fixed;top:0;left:0;z-index:var(--bs-modal-zindex);display:none;width:100%;height:100%;overflow-x:hidden;overflow-y:auto;outline:0}.modal-dialog{position:relative;width:auto;margin:var(--bs-modal-margin);pointer-events:none}.modal.fade .modal-dialog{transition:transform 0.3s ease-out;transform:translate(0, -50px)}@media (prefers-reduced-motion: reduce){.modal.fade .modal-dialog{transition:none}}.modal.show .modal-dialog{transform:none}.modal.modal-static .modal-dialog{transform:scale(1.02)}.modal-dialog-scrollable{height:calc(100% - var(--bs-modal-margin) * 2)}.modal-dialog-scrollable .modal-content{max-height:100%;overflow:hidden}.modal-dialog-scrollable .modal-body{overflow-y:auto}.modal-dialog-centered{display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;min-height:calc(100% - var(--bs-modal-margin) * 2)}.modal-content{position:relative;display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;width:100%;color:var(--bs-modal-color);pointer-events:auto;background-color:var(--bs-modal-bg);background-clip:padding-box;border:var(--bs-modal-border-width) solid var(--bs-modal-border-color);border-radius:var(--bs-modal-border-radius);outline:0}.modal-backdrop{--bs-backdrop-zindex: 1050;--bs-backdrop-bg: #000;--bs-backdrop-opacity: .5;position:fixed;top:0;left:0;z-index:var(--bs-backdrop-zindex);width:100vw;height:100vh;background-color:var(--bs-backdrop-bg)}.modal-backdrop.fade{opacity:0}.modal-backdrop.show{opacity:var(--bs-backdrop-opacity)}.modal-header{display:flex;display:-webkit-flex;flex-shrink:0;-webkit-flex-shrink:0;align-items:center;-webkit-align-items:center;justify-content:space-between;-webkit-justify-content:space-between;padding:var(--bs-modal-header-padding);border-bottom:var(--bs-modal-header-border-width) solid var(--bs-modal-header-border-color);border-top-left-radius:var(--bs-modal-inner-border-radius);border-top-right-radius:var(--bs-modal-inner-border-radius)}.modal-header .btn-close{padding:calc(var(--bs-modal-header-padding-y) * .5) calc(var(--bs-modal-header-padding-x) * .5);margin:calc(-.5 * var(--bs-modal-header-padding-y)) calc(-.5 * var(--bs-modal-header-padding-x)) calc(-.5 * var(--bs-modal-header-padding-y)) auto}.modal-title{margin-bottom:0;line-height:var(--bs-modal-title-line-height)}.modal-body{position:relative;flex:1 1 auto;-webkit-flex:1 1 auto;padding:var(--bs-modal-padding)}.modal-footer{display:flex;display:-webkit-flex;flex-shrink:0;-webkit-flex-shrink:0;flex-wrap:wrap;-webkit-flex-wrap:wrap;align-items:center;-webkit-align-items:center;justify-content:flex-end;-webkit-justify-content:flex-end;padding:calc(var(--bs-modal-padding) - var(--bs-modal-footer-gap) * .5);background-color:var(--bs-modal-footer-bg);border-top:var(--bs-modal-footer-border-width) solid var(--bs-modal-footer-border-color);border-bottom-right-radius:var(--bs-modal-inner-border-radius);border-bottom-left-radius:var(--bs-modal-inner-border-radius)}.modal-footer>*{margin:calc(var(--bs-modal-footer-gap) * .5)}@media (min-width: 576px){.modal{--bs-modal-margin: 1.75rem;--bs-modal-box-shadow: 0 0.5rem 1rem rgba(0,0,0,0.15)}.modal-dialog{max-width:var(--bs-modal-width);margin-right:auto;margin-left:auto}.modal-sm{--bs-modal-width: 300px}}@media (min-width: 992px){.modal-lg,.modal-xl{--bs-modal-width: 800px}}@media (min-width: 1200px){.modal-xl{--bs-modal-width: 1140px}}.modal-fullscreen{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen .modal-header,.modal-fullscreen .modal-footer{border-radius:0}.modal-fullscreen .modal-body{overflow-y:auto}@media (max-width: 575.98px){.modal-fullscreen-sm-down{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen-sm-down .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-sm-down .modal-header,.modal-fullscreen-sm-down .modal-footer{border-radius:0}.modal-fullscreen-sm-down .modal-body{overflow-y:auto}}@media (max-width: 767.98px){.modal-fullscreen-md-down{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen-md-down .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-md-down .modal-header,.modal-fullscreen-md-down .modal-footer{border-radius:0}.modal-fullscreen-md-down .modal-body{overflow-y:auto}}@media (max-width: 991.98px){.modal-fullscreen-lg-down{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen-lg-down .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-lg-down .modal-header,.modal-fullscreen-lg-down .modal-footer{border-radius:0}.modal-fullscreen-lg-down .modal-body{overflow-y:auto}}@media (max-width: 1199.98px){.modal-fullscreen-xl-down{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen-xl-down .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-xl-down .modal-header,.modal-fullscreen-xl-down .modal-footer{border-radius:0}.modal-fullscreen-xl-down .modal-body{overflow-y:auto}}@media (max-width: 1399.98px){.modal-fullscreen-xxl-down{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen-xxl-down .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-xxl-down .modal-header,.modal-fullscreen-xxl-down .modal-footer{border-radius:0}.modal-fullscreen-xxl-down .modal-body{overflow-y:auto}}.tooltip{--bs-tooltip-zindex: 1080;--bs-tooltip-max-width: 200px;--bs-tooltip-padding-x: .5rem;--bs-tooltip-padding-y: .25rem;--bs-tooltip-margin: ;--bs-tooltip-font-size:.875rem;--bs-tooltip-color: var(--bs-body-bg);--bs-tooltip-bg: var(--bs-emphasis-color);--bs-tooltip-border-radius: var(--bs-border-radius);--bs-tooltip-opacity: .9;--bs-tooltip-arrow-width: .8rem;--bs-tooltip-arrow-height: .4rem;z-index:var(--bs-tooltip-zindex);display:block;margin:var(--bs-tooltip-margin);font-family:var(--bs-font-sans-serif);font-style:normal;font-weight:400;line-height:1.5;text-align:left;text-align:start;text-decoration:none;text-shadow:none;text-transform:none;letter-spacing:normal;word-break:normal;white-space:normal;word-spacing:normal;line-break:auto;font-size:var(--bs-tooltip-font-size);word-wrap:break-word;opacity:0}.tooltip.show{opacity:var(--bs-tooltip-opacity)}.tooltip .tooltip-arrow{display:block;width:var(--bs-tooltip-arrow-width);height:var(--bs-tooltip-arrow-height)}.tooltip .tooltip-arrow::before{position:absolute;content:"";border-color:transparent;border-style:solid}.bs-tooltip-top .tooltip-arrow,.bs-tooltip-auto[data-popper-placement^="top"] .tooltip-arrow{bottom:calc(-1 * var(--bs-tooltip-arrow-height))}.bs-tooltip-top .tooltip-arrow::before,.bs-tooltip-auto[data-popper-placement^="top"] .tooltip-arrow::before{top:-1px;border-width:var(--bs-tooltip-arrow-height) calc(var(--bs-tooltip-arrow-width) * .5) 0;border-top-color:var(--bs-tooltip-bg)}.bs-tooltip-end .tooltip-arrow,.bs-tooltip-auto[data-popper-placement^="right"] .tooltip-arrow{left:calc(-1 * var(--bs-tooltip-arrow-height));width:var(--bs-tooltip-arrow-height);height:var(--bs-tooltip-arrow-width)}.bs-tooltip-end .tooltip-arrow::before,.bs-tooltip-auto[data-popper-placement^="right"] .tooltip-arrow::before{right:-1px;border-width:calc(var(--bs-tooltip-arrow-width) * .5) var(--bs-tooltip-arrow-height) calc(var(--bs-tooltip-arrow-width) * .5) 0;border-right-color:var(--bs-tooltip-bg)}.bs-tooltip-bottom .tooltip-arrow,.bs-tooltip-auto[data-popper-placement^="bottom"] .tooltip-arrow{top:calc(-1 * var(--bs-tooltip-arrow-height))}.bs-tooltip-bottom .tooltip-arrow::before,.bs-tooltip-auto[data-popper-placement^="bottom"] .tooltip-arrow::before{bottom:-1px;border-width:0 calc(var(--bs-tooltip-arrow-width) * .5) 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var(--bs-dropdown-header-padding-x);margin-bottom:0;font-size:.875rem;color:var(--bs-dropdown-header-color);white-space:nowrap}.dropdown-item-text{display:block;padding:var(--bs-dropdown-item-padding-y) var(--bs-dropdown-item-padding-x);color:var(--bs-dropdown-link-color)}.dropdown-menu-dark{--bs-dropdown-color: #dee2e6;--bs-dropdown-bg: #333;--bs-dropdown-border-color: var(--bs-border-color-translucent);--bs-dropdown-box-shadow: ;--bs-dropdown-link-color: #dee2e6;--bs-dropdown-link-hover-color: #fff;--bs-dropdown-divider-bg: var(--bs-border-color-translucent);--bs-dropdown-link-hover-bg: rgba(255,255,255,0.15);--bs-dropdown-link-active-color: #fff;--bs-dropdown-link-active-bg: #e95420;--bs-dropdown-link-disabled-color: #aea79f;--bs-dropdown-header-color: #aea79f}.btn-group,.btn-group-vertical{position:relative;display:inline-flex;vertical-align:middle}.btn-group>.btn,.btn-group-vertical>.btn{position:relative;flex:1 1 auto;-webkit-flex:1 1 auto}.btn-group>.btn-check:checked+.btn,.btn-group>.btn-check:focus+.btn,.btn-group>.btn:hover,.btn-group>.btn:focus,.btn-group>.btn:active,.btn-group>.btn.active,.btn-group-vertical>.btn-check:checked+.btn,.btn-group-vertical>.btn-check:focus+.btn,.btn-group-vertical>.btn:hover,.btn-group-vertical>.btn:focus,.btn-group-vertical>.btn:active,.btn-group-vertical>.btn.active{z-index:1}.btn-toolbar{display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;justify-content:flex-start;-webkit-justify-content:flex-start}.btn-toolbar .input-group{width:auto}.btn-group{border-radius:var(--bs-border-radius)}.btn-group>:not(.btn-check:first-child)+.btn,.btn-group>.btn-group:not(:first-child){margin-left:calc(var(--bs-border-width) * -1)}.btn-group>.btn:not(:last-child):not(.dropdown-toggle),.btn-group>.btn.dropdown-toggle-split:first-child,.btn-group>.btn-group:not(:last-child)>.btn{border-top-right-radius:0;border-bottom-right-radius:0}.btn-group>.btn:nth-child(n + 3),.btn-group>:not(.btn-check)+.btn,.btn-group>.btn-group:not(:first-child)>.btn{border-top-left-radius:0;border-bottom-left-radius:0}.dropdown-toggle-split{padding-right:.5625rem;padding-left:.5625rem}.dropdown-toggle-split::after,.dropup .dropdown-toggle-split::after,.dropend .dropdown-toggle-split::after{margin-left:0}.dropstart .dropdown-toggle-split::before{margin-right:0}.btn-sm+.dropdown-toggle-split,.btn-group-sm>.btn+.dropdown-toggle-split{padding-right:.375rem;padding-left:.375rem}.btn-lg+.dropdown-toggle-split,.btn-group-lg>.btn+.dropdown-toggle-split{padding-right:.75rem;padding-left:.75rem}.btn-group-vertical{flex-direction:column;-webkit-flex-direction:column;align-items:flex-start;-webkit-align-items:flex-start;justify-content:center;-webkit-justify-content:center}.btn-group-vertical>.btn,.btn-group-vertical>.btn-group{width:100%}.btn-group-vertical>.btn:not(:first-child),.btn-group-vertical>.btn-group:not(:first-child){margin-top:calc(var(--bs-border-width) * -1)}.btn-group-vertical>.btn:not(:last-child):not(.dropdown-toggle),.btn-group-vertical>.btn-group:not(:last-child)>.btn{border-bottom-right-radius:0;border-bottom-left-radius:0}.btn-group-vertical>.btn~.btn,.btn-group-vertical>.btn-group:not(:first-child)>.btn{border-top-left-radius:0;border-top-right-radius:0}.nav{--bs-nav-link-padding-x: 1rem;--bs-nav-link-padding-y: .5rem;--bs-nav-link-font-weight: ;--bs-nav-link-color: var(--bs-link-color);--bs-nav-link-hover-color: var(--bs-link-hover-color);--bs-nav-link-disabled-color: var(--bs-secondary-color);display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;padding-left:0;margin-bottom:0;list-style:none}.nav-link{display:block;padding:var(--bs-nav-link-padding-y) var(--bs-nav-link-padding-x);font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);color:var(--bs-nav-link-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background:none;border:0;transition:color 0.15s ease-in-out,background-color 0.15s ease-in-out,border-color 0.15s ease-in-out}@media (prefers-reduced-motion: reduce){.nav-link{transition:none}}.nav-link:hover,.nav-link:focus{color:var(--bs-nav-link-hover-color)}.nav-link:focus-visible{outline:0;box-shadow:0 0 0 .25rem rgba(233,84,32,0.25)}.nav-link.disabled,.nav-link:disabled{color:var(--bs-nav-link-disabled-color);pointer-events:none;cursor:default}.nav-tabs{--bs-nav-tabs-border-width: var(--bs-border-width);--bs-nav-tabs-border-color: var(--bs-border-color);--bs-nav-tabs-border-radius: var(--bs-border-radius);--bs-nav-tabs-link-hover-border-color: var(--bs-secondary-bg) var(--bs-secondary-bg) var(--bs-border-color);--bs-nav-tabs-link-active-color: var(--bs-emphasis-color);--bs-nav-tabs-link-active-bg: var(--bs-body-bg);--bs-nav-tabs-link-active-border-color: var(--bs-border-color) var(--bs-border-color) var(--bs-body-bg);border-bottom:var(--bs-nav-tabs-border-width) solid var(--bs-nav-tabs-border-color)}.nav-tabs .nav-link{margin-bottom:calc(-1 * var(--bs-nav-tabs-border-width));border:var(--bs-nav-tabs-border-width) solid transparent;border-top-left-radius:var(--bs-nav-tabs-border-radius);border-top-right-radius:var(--bs-nav-tabs-border-radius)}.nav-tabs .nav-link:hover,.nav-tabs .nav-link:focus{isolation:isolate;border-color:var(--bs-nav-tabs-link-hover-border-color)}.nav-tabs .nav-link.active,.nav-tabs .nav-item.show .nav-link{color:var(--bs-nav-tabs-link-active-color);background-color:var(--bs-nav-tabs-link-active-bg);border-color:var(--bs-nav-tabs-link-active-border-color)}.nav-tabs .dropdown-menu{margin-top:calc(-1 * 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.show>.nav-link{font-weight:700;color:var(--bs-nav-underline-link-active-color);border-bottom-color:currentcolor}.nav-fill>.nav-link,.nav-fill .nav-item{flex:1 1 auto;-webkit-flex:1 1 auto;text-align:center}.nav-justified>.nav-link,.nav-justified .nav-item{flex-basis:0;-webkit-flex-basis:0;flex-grow:1;-webkit-flex-grow:1;text-align:center}.nav-fill .nav-item .nav-link,.nav-justified .nav-item .nav-link{width:100%}.tab-content>.tab-pane{display:none}.tab-content>.active{display:block}.navbar{--bs-navbar-padding-x: 0;--bs-navbar-padding-y: .5rem;--bs-navbar-color: rgba(255,255,255,0.65);--bs-navbar-hover-color: rgba(255,255,255,0.8);--bs-navbar-disabled-color: rgba(255,255,255,0.3);--bs-navbar-active-color: #fff;--bs-navbar-brand-padding-y: .3125rem;--bs-navbar-brand-margin-end: 1rem;--bs-navbar-brand-font-size: 1.25rem;--bs-navbar-brand-color: #fff;--bs-navbar-brand-hover-color: #fff;--bs-navbar-nav-link-padding-x: .5rem;--bs-navbar-toggler-padding-y: .25rem;--bs-navbar-toggler-padding-x: .75rem;--bs-navbar-toggler-font-size: 1.25rem;--bs-navbar-toggler-icon-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'%3e%3cpath stroke='rgba%28255,255,255,0.75%29' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e");--bs-navbar-toggler-border-color: rgba(255,255,255,0.15);--bs-navbar-toggler-border-radius: var(--bs-border-radius);--bs-navbar-toggler-focus-width: .25rem;--bs-navbar-toggler-transition: box-shadow 0.15s ease-in-out;position:relative;display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;align-items:center;-webkit-align-items:center;justify-content:space-between;-webkit-justify-content:space-between;padding:var(--bs-navbar-padding-y) 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992px){.navbar-expand-lg{flex-wrap:nowrap;-webkit-flex-wrap:nowrap;justify-content:flex-start;-webkit-justify-content:flex-start}.navbar-expand-lg .navbar-nav{flex-direction:row;-webkit-flex-direction:row}.navbar-expand-lg .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-lg .navbar-nav .nav-link{padding-right:var(--bs-navbar-nav-link-padding-x);padding-left:var(--bs-navbar-nav-link-padding-x)}.navbar-expand-lg .navbar-nav-scroll{overflow:visible}.navbar-expand-lg .navbar-collapse{display:flex !important;display:-webkit-flex !important;flex-basis:auto;-webkit-flex-basis:auto}.navbar-expand-lg .navbar-toggler{display:none}.navbar-expand-lg .offcanvas{position:static;z-index:auto;flex-grow:1;-webkit-flex-grow:1;width:auto !important;height:auto !important;visibility:visible !important;background-color:transparent !important;border:0 !important;transform:none !important;transition:none}.navbar-expand-lg .offcanvas .offcanvas-header{display:none}.navbar-expand-lg .offcanvas 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.offcanvas{position:static;z-index:auto;flex-grow:1;-webkit-flex-grow:1;width:auto !important;height:auto !important;visibility:visible !important;background-color:transparent !important;border:0 !important;transform:none !important;transition:none}.navbar-expand-xxl .offcanvas .offcanvas-header{display:none}.navbar-expand-xxl .offcanvas .offcanvas-body{display:flex;display:-webkit-flex;flex-grow:0;-webkit-flex-grow:0;padding:0;overflow-y:visible}}.navbar-expand{flex-wrap:nowrap;-webkit-flex-wrap:nowrap;justify-content:flex-start;-webkit-justify-content:flex-start}.navbar-expand .navbar-nav{flex-direction:row;-webkit-flex-direction:row}.navbar-expand .navbar-nav .dropdown-menu{position:absolute}.navbar-expand .navbar-nav .nav-link{padding-right:var(--bs-navbar-nav-link-padding-x);padding-left:var(--bs-navbar-nav-link-padding-x)}.navbar-expand .navbar-nav-scroll{overflow:visible}.navbar-expand .navbar-collapse{display:flex !important;display:-webkit-flex 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url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%235d220d'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-focus-border-color: #f4aa90;--bs-accordion-btn-focus-box-shadow: 0 0 0 .25rem rgba(233,84,32,0.25);--bs-accordion-body-padding-x: 1.25rem;--bs-accordion-body-padding-y: 1rem;--bs-accordion-active-color: var(--bs-primary-text-emphasis);--bs-accordion-active-bg: var(--bs-primary-bg-subtle)}.accordion-button{position:relative;display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;width:100%;padding:var(--bs-accordion-btn-padding-y) var(--bs-accordion-btn-padding-x);font-size:1rem;color:var(--bs-accordion-btn-color);text-align:left;background-color:var(--bs-accordion-btn-bg);border:0;border-radius:0;overflow-anchor:none;transition:var(--bs-accordion-transition)}@media 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reduce){.accordion-button::after{transition:none}}.accordion-button:hover{z-index:2}.accordion-button:focus{z-index:3;border-color:var(--bs-accordion-btn-focus-border-color);outline:0;box-shadow:var(--bs-accordion-btn-focus-box-shadow)}.accordion-header{margin-bottom:0}.accordion-item{color:var(--bs-accordion-color);background-color:var(--bs-accordion-bg);border:var(--bs-accordion-border-width) solid var(--bs-accordion-border-color)}.accordion-item:first-of-type{border-top-left-radius:var(--bs-accordion-border-radius);border-top-right-radius:var(--bs-accordion-border-radius)}.accordion-item:first-of-type .accordion-button{border-top-left-radius:var(--bs-accordion-inner-border-radius);border-top-right-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:not(:first-of-type){border-top:0}.accordion-item:last-of-type{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-item:last-of-type .accordion-button.collapsed{border-bottom-right-radius:var(--bs-accordion-inner-border-radius);border-bottom-left-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:last-of-type .accordion-collapse{border-bottom-right-radius:var(--bs-accordion-border-radius);border-bottom-left-radius:var(--bs-accordion-border-radius)}.accordion-body{padding:var(--bs-accordion-body-padding-y) var(--bs-accordion-body-padding-x)}.accordion-flush .accordion-collapse{border-width:0}.accordion-flush .accordion-item{border-right:0;border-left:0;border-radius:0}.accordion-flush .accordion-item:first-child{border-top:0}.accordion-flush .accordion-item:last-child{border-bottom:0}.accordion-flush .accordion-item .accordion-button,.accordion-flush .accordion-item .accordion-button.collapsed{border-radius:0}[data-bs-theme="dark"] .accordion-button::after{--bs-accordion-btn-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23f29879'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");--bs-accordion-btn-active-icon: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23f29879'%3e%3cpath fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e")}.breadcrumb{--bs-breadcrumb-padding-x: 0;--bs-breadcrumb-padding-y: 0;--bs-breadcrumb-margin-bottom: 1rem;--bs-breadcrumb-bg: ;--bs-breadcrumb-border-radius: ;--bs-breadcrumb-divider-color: var(--bs-secondary-color);--bs-breadcrumb-item-padding-x: .5rem;--bs-breadcrumb-item-active-color: var(--bs-secondary-color);display:flex;display:-webkit-flex;flex-wrap:wrap;-webkit-flex-wrap:wrap;padding:var(--bs-breadcrumb-padding-y) var(--bs-breadcrumb-padding-x);margin-bottom:var(--bs-breadcrumb-margin-bottom);font-size:var(--bs-breadcrumb-font-size);list-style:none;background-color:var(--bs-breadcrumb-bg);border-radius:var(--bs-breadcrumb-border-radius)}.breadcrumb-item+.breadcrumb-item{padding-left:var(--bs-breadcrumb-item-padding-x)}.breadcrumb-item+.breadcrumb-item::before{float:left;padding-right:var(--bs-breadcrumb-item-padding-x);color:var(--bs-breadcrumb-divider-color);content:var(--bs-breadcrumb-divider, "/") /* rtl: var(--bs-breadcrumb-divider, "/") */}.breadcrumb-item.active{color:var(--bs-breadcrumb-item-active-color)}.pagination{--bs-pagination-padding-x: .75rem;--bs-pagination-padding-y: .375rem;--bs-pagination-font-size:1rem;--bs-pagination-color: var(--bs-link-color);--bs-pagination-bg: var(--bs-body-bg);--bs-pagination-border-width: var(--bs-border-width);--bs-pagination-border-color: var(--bs-border-color);--bs-pagination-border-radius: var(--bs-border-radius);--bs-pagination-hover-color: var(--bs-link-hover-color);--bs-pagination-hover-bg: var(--bs-tertiary-bg);--bs-pagination-hover-border-color: var(--bs-border-color);--bs-pagination-focus-color: var(--bs-link-hover-color);--bs-pagination-focus-bg: var(--bs-secondary-bg);--bs-pagination-focus-box-shadow: 0 0 0 .25rem rgba(233,84,32,0.25);--bs-pagination-active-color: #fff;--bs-pagination-active-bg: #e95420;--bs-pagination-active-border-color: #e95420;--bs-pagination-disabled-color: var(--bs-secondary-color);--bs-pagination-disabled-bg: var(--bs-secondary-bg);--bs-pagination-disabled-border-color: var(--bs-border-color);display:flex;display:-webkit-flex;padding-left:0;list-style:none}.page-link{position:relative;display:block;padding:var(--bs-pagination-padding-y) var(--bs-pagination-padding-x);font-size:var(--bs-pagination-font-size);color:var(--bs-pagination-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-pagination-bg);border:var(--bs-pagination-border-width) solid var(--bs-pagination-border-color);transition:color 0.15s ease-in-out,background-color 0.15s ease-in-out,border-color 0.15s ease-in-out,box-shadow 0.15s ease-in-out}@media (prefers-reduced-motion: reduce){.page-link{transition:none}}.page-link:hover{z-index:2;color:var(--bs-pagination-hover-color);background-color:var(--bs-pagination-hover-bg);border-color:var(--bs-pagination-hover-border-color)}.page-link:focus{z-index:3;color:var(--bs-pagination-focus-color);background-color:var(--bs-pagination-focus-bg);outline:0;box-shadow:var(--bs-pagination-focus-box-shadow)}.page-link.active,.active>.page-link{z-index:3;color:var(--bs-pagination-active-color);background-color:var(--bs-pagination-active-bg);border-color:var(--bs-pagination-active-border-color)}.page-link.disabled,.disabled>.page-link{color:var(--bs-pagination-disabled-color);pointer-events:none;background-color:var(--bs-pagination-disabled-bg);border-color:var(--bs-pagination-disabled-border-color)}.page-item:not(:first-child) .page-link{margin-left:calc(var(--bs-border-width) * -1)}.page-item:first-child .page-link{border-top-left-radius:var(--bs-pagination-border-radius);border-bottom-left-radius:var(--bs-pagination-border-radius)}.page-item:last-child .page-link{border-top-right-radius:var(--bs-pagination-border-radius);border-bottom-right-radius:var(--bs-pagination-border-radius)}.pagination-lg{--bs-pagination-padding-x: 1.5rem;--bs-pagination-padding-y: .75rem;--bs-pagination-font-size:1.25rem;--bs-pagination-border-radius: var(--bs-border-radius-lg)}.pagination-sm{--bs-pagination-padding-x: .5rem;--bs-pagination-padding-y: .25rem;--bs-pagination-font-size:.875rem;--bs-pagination-border-radius: var(--bs-border-radius-sm)}.badge{--bs-badge-padding-x: .65em;--bs-badge-padding-y: .35em;--bs-badge-font-size:.75em;--bs-badge-font-weight: 700;--bs-badge-color: #fff;--bs-badge-border-radius: var(--bs-border-radius);display:inline-block;padding:var(--bs-badge-padding-y) var(--bs-badge-padding-x);font-size:var(--bs-badge-font-size);font-weight:var(--bs-badge-font-weight);line-height:1;color:var(--bs-badge-color);text-align:center;white-space:nowrap;vertical-align:baseline;border-radius:var(--bs-badge-border-radius)}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}.alert{--bs-alert-bg: transparent;--bs-alert-padding-x: 1rem;--bs-alert-padding-y: 1rem;--bs-alert-margin-bottom: 1rem;--bs-alert-color: inherit;--bs-alert-border-color: transparent;--bs-alert-border: var(--bs-border-width) solid var(--bs-alert-border-color);--bs-alert-border-radius: var(--bs-border-radius);--bs-alert-link-color: inherit;position:relative;padding:var(--bs-alert-padding-y) var(--bs-alert-padding-x);margin-bottom:var(--bs-alert-margin-bottom);color:var(--bs-alert-color);background-color:var(--bs-alert-bg);border:var(--bs-alert-border);border-radius:var(--bs-alert-border-radius)}.alert-heading{color:inherit}.alert-link{font-weight:700;color:var(--bs-alert-link-color)}.alert-dismissible{padding-right:3rem}.alert-dismissible .btn-close{position:absolute;top:0;right:0;z-index:2;padding:1.25rem 1rem}.alert-default{--bs-alert-color: var(--bs-default-text-emphasis);--bs-alert-bg: var(--bs-default-bg-subtle);--bs-alert-border-color: var(--bs-default-border-subtle);--bs-alert-link-color: var(--bs-default-text-emphasis)}.alert-primary{--bs-alert-color: var(--bs-primary-text-emphasis);--bs-alert-bg: var(--bs-primary-bg-subtle);--bs-alert-border-color: var(--bs-primary-border-subtle);--bs-alert-link-color: var(--bs-primary-text-emphasis)}.alert-secondary{--bs-alert-color: var(--bs-secondary-text-emphasis);--bs-alert-bg: var(--bs-secondary-bg-subtle);--bs-alert-border-color: var(--bs-secondary-border-subtle);--bs-alert-link-color: var(--bs-secondary-text-emphasis)}.alert-success{--bs-alert-color: var(--bs-success-text-emphasis);--bs-alert-bg: var(--bs-success-bg-subtle);--bs-alert-border-color: var(--bs-success-border-subtle);--bs-alert-link-color: var(--bs-success-text-emphasis)}.alert-info{--bs-alert-color: var(--bs-info-text-emphasis);--bs-alert-bg: var(--bs-info-bg-subtle);--bs-alert-border-color: var(--bs-info-border-subtle);--bs-alert-link-color: var(--bs-info-text-emphasis)}.alert-warning{--bs-alert-color: var(--bs-warning-text-emphasis);--bs-alert-bg: var(--bs-warning-bg-subtle);--bs-alert-border-color: var(--bs-warning-border-subtle);--bs-alert-link-color: var(--bs-warning-text-emphasis)}.alert-danger{--bs-alert-color: var(--bs-danger-text-emphasis);--bs-alert-bg: var(--bs-danger-bg-subtle);--bs-alert-border-color: var(--bs-danger-border-subtle);--bs-alert-link-color: var(--bs-danger-text-emphasis)}.alert-light{--bs-alert-color: var(--bs-light-text-emphasis);--bs-alert-bg: var(--bs-light-bg-subtle);--bs-alert-border-color: var(--bs-light-border-subtle);--bs-alert-link-color: var(--bs-light-text-emphasis)}.alert-dark{--bs-alert-color: var(--bs-dark-text-emphasis);--bs-alert-bg: var(--bs-dark-bg-subtle);--bs-alert-border-color: var(--bs-dark-border-subtle);--bs-alert-link-color: var(--bs-dark-text-emphasis)}@keyframes progress-bar-stripes{0%{background-position-x:1rem}}.progress,.progress-stacked{--bs-progress-height: 1rem;--bs-progress-font-size:.75rem;--bs-progress-bg: var(--bs-secondary-bg);--bs-progress-border-radius: var(--bs-border-radius);--bs-progress-box-shadow: var(--bs-box-shadow-inset);--bs-progress-bar-color: #fff;--bs-progress-bar-bg: #e95420;--bs-progress-bar-transition: width 0.6s ease;display:flex;display:-webkit-flex;height:var(--bs-progress-height);overflow:hidden;font-size:var(--bs-progress-font-size);background-color:var(--bs-progress-bg);border-radius:var(--bs-progress-border-radius)}.progress-bar{display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;justify-content:center;-webkit-justify-content:center;overflow:hidden;color:var(--bs-progress-bar-color);text-align:center;white-space:nowrap;background-color:var(--bs-progress-bar-bg);transition:var(--bs-progress-bar-transition)}@media (prefers-reduced-motion: reduce){.progress-bar{transition:none}}.progress-bar-striped{background-image:linear-gradient(45deg, rgba(255,255,255,0.15) 25%, transparent 25%, transparent 50%, rgba(255,255,255,0.15) 50%, rgba(255,255,255,0.15) 75%, transparent 75%, transparent);background-size:var(--bs-progress-height) var(--bs-progress-height)}.progress-stacked>.progress{overflow:visible}.progress-stacked>.progress>.progress-bar{width:100%}.progress-bar-animated{animation:1s linear infinite progress-bar-stripes}@media (prefers-reduced-motion: reduce){.progress-bar-animated{animation:none}}.list-group{--bs-list-group-color: var(--bs-body-color);--bs-list-group-bg: var(--bs-body-bg);--bs-list-group-border-color: var(--bs-border-color);--bs-list-group-border-width: var(--bs-border-width);--bs-list-group-border-radius: var(--bs-border-radius);--bs-list-group-item-padding-x: 1rem;--bs-list-group-item-padding-y: .5rem;--bs-list-group-action-color: var(--bs-secondary-color);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-tertiary-bg);--bs-list-group-action-active-color: var(--bs-body-color);--bs-list-group-action-active-bg: var(--bs-secondary-bg);--bs-list-group-disabled-color: var(--bs-secondary-color);--bs-list-group-disabled-bg: var(--bs-body-bg);--bs-list-group-active-color: #fff;--bs-list-group-active-bg: #e95420;--bs-list-group-active-border-color: #e95420;display:flex;display:-webkit-flex;flex-direction:column;-webkit-flex-direction:column;padding-left:0;margin-bottom:0;border-radius:var(--bs-list-group-border-radius)}.list-group-numbered{list-style-type:none;counter-reset:section}.list-group-numbered>.list-group-item::before{content:counters(section, ".") ". ";counter-increment:section}.list-group-item-action{width:100%;color:var(--bs-list-group-action-color);text-align:inherit}.list-group-item-action:hover,.list-group-item-action:focus{z-index:1;color:var(--bs-list-group-action-hover-color);text-decoration:none;background-color:var(--bs-list-group-action-hover-bg)}.list-group-item-action:active{color:var(--bs-list-group-action-active-color);background-color:var(--bs-list-group-action-active-bg)}.list-group-item{position:relative;display:block;padding:var(--bs-list-group-item-padding-y) var(--bs-list-group-item-padding-x);color:var(--bs-list-group-color);text-decoration:none;-webkit-text-decoration:none;-moz-text-decoration:none;-ms-text-decoration:none;-o-text-decoration:none;background-color:var(--bs-list-group-bg);border:var(--bs-list-group-border-width) solid var(--bs-list-group-border-color)}.list-group-item:first-child{border-top-left-radius:inherit;border-top-right-radius:inherit}.list-group-item:last-child{border-bottom-right-radius:inherit;border-bottom-left-radius:inherit}.list-group-item.disabled,.list-group-item:disabled{color:var(--bs-list-group-disabled-color);pointer-events:none;background-color:var(--bs-list-group-disabled-bg)}.list-group-item.active{z-index:2;color:var(--bs-list-group-active-color);background-color:var(--bs-list-group-active-bg);border-color:var(--bs-list-group-active-border-color)}.list-group-item+.list-group-item{border-top-width:0}.list-group-item+.list-group-item.active{margin-top:calc(-1 * var(--bs-list-group-border-width));border-top-width:var(--bs-list-group-border-width)}.list-group-horizontal{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal>.list-group-item.active{margin-top:0}.list-group-horizontal>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}@media (min-width: 576px){.list-group-horizontal-sm{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-sm>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-sm>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-sm>.list-group-item.active{margin-top:0}.list-group-horizontal-sm>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-sm>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media (min-width: 768px){.list-group-horizontal-md{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-md>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-md>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-md>.list-group-item.active{margin-top:0}.list-group-horizontal-md>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-md>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media (min-width: 992px){.list-group-horizontal-lg{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-lg>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-lg>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-lg>.list-group-item.active{margin-top:0}.list-group-horizontal-lg>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-lg>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media (min-width: 1200px){.list-group-horizontal-xl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xl>.list-group-item.active{margin-top:0}.list-group-horizontal-xl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xl>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}@media (min-width: 1400px){.list-group-horizontal-xxl{flex-direction:row;-webkit-flex-direction:row}.list-group-horizontal-xxl>.list-group-item:first-child:not(:last-child){border-bottom-left-radius:var(--bs-list-group-border-radius);border-top-right-radius:0}.list-group-horizontal-xxl>.list-group-item:last-child:not(:first-child){border-top-right-radius:var(--bs-list-group-border-radius);border-bottom-left-radius:0}.list-group-horizontal-xxl>.list-group-item.active{margin-top:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item{border-top-width:var(--bs-list-group-border-width);border-left-width:0}.list-group-horizontal-xxl>.list-group-item+.list-group-item.active{margin-left:calc(-1 * var(--bs-list-group-border-width));border-left-width:var(--bs-list-group-border-width)}}.list-group-flush{border-radius:0}.list-group-flush>.list-group-item{border-width:0 0 var(--bs-list-group-border-width)}.list-group-flush>.list-group-item:last-child{border-bottom-width:0}.list-group-item-default{--bs-list-group-color: var(--bs-default-text-emphasis);--bs-list-group-bg: var(--bs-default-bg-subtle);--bs-list-group-border-color: var(--bs-default-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-default-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-default-border-subtle);--bs-list-group-active-color: var(--bs-default-bg-subtle);--bs-list-group-active-bg: var(--bs-default-text-emphasis);--bs-list-group-active-border-color: var(--bs-default-text-emphasis)}.list-group-item-primary{--bs-list-group-color: var(--bs-primary-text-emphasis);--bs-list-group-bg: var(--bs-primary-bg-subtle);--bs-list-group-border-color: var(--bs-primary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-primary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-primary-border-subtle);--bs-list-group-active-color: var(--bs-primary-bg-subtle);--bs-list-group-active-bg: var(--bs-primary-text-emphasis);--bs-list-group-active-border-color: var(--bs-primary-text-emphasis)}.list-group-item-secondary{--bs-list-group-color: var(--bs-secondary-text-emphasis);--bs-list-group-bg: var(--bs-secondary-bg-subtle);--bs-list-group-border-color: var(--bs-secondary-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-secondary-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-secondary-border-subtle);--bs-list-group-active-color: var(--bs-secondary-bg-subtle);--bs-list-group-active-bg: var(--bs-secondary-text-emphasis);--bs-list-group-active-border-color: var(--bs-secondary-text-emphasis)}.list-group-item-success{--bs-list-group-color: var(--bs-success-text-emphasis);--bs-list-group-bg: var(--bs-success-bg-subtle);--bs-list-group-border-color: var(--bs-success-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-success-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-success-border-subtle);--bs-list-group-active-color: var(--bs-success-bg-subtle);--bs-list-group-active-bg: var(--bs-success-text-emphasis);--bs-list-group-active-border-color: var(--bs-success-text-emphasis)}.list-group-item-info{--bs-list-group-color: var(--bs-info-text-emphasis);--bs-list-group-bg: var(--bs-info-bg-subtle);--bs-list-group-border-color: var(--bs-info-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-info-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-info-border-subtle);--bs-list-group-active-color: var(--bs-info-bg-subtle);--bs-list-group-active-bg: var(--bs-info-text-emphasis);--bs-list-group-active-border-color: var(--bs-info-text-emphasis)}.list-group-item-warning{--bs-list-group-color: var(--bs-warning-text-emphasis);--bs-list-group-bg: var(--bs-warning-bg-subtle);--bs-list-group-border-color: var(--bs-warning-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-warning-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-warning-border-subtle);--bs-list-group-active-color: var(--bs-warning-bg-subtle);--bs-list-group-active-bg: var(--bs-warning-text-emphasis);--bs-list-group-active-border-color: var(--bs-warning-text-emphasis)}.list-group-item-danger{--bs-list-group-color: var(--bs-danger-text-emphasis);--bs-list-group-bg: var(--bs-danger-bg-subtle);--bs-list-group-border-color: var(--bs-danger-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-danger-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-danger-border-subtle);--bs-list-group-active-color: var(--bs-danger-bg-subtle);--bs-list-group-active-bg: var(--bs-danger-text-emphasis);--bs-list-group-active-border-color: var(--bs-danger-text-emphasis)}.list-group-item-light{--bs-list-group-color: var(--bs-light-text-emphasis);--bs-list-group-bg: var(--bs-light-bg-subtle);--bs-list-group-border-color: var(--bs-light-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-light-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-light-border-subtle);--bs-list-group-active-color: var(--bs-light-bg-subtle);--bs-list-group-active-bg: var(--bs-light-text-emphasis);--bs-list-group-active-border-color: var(--bs-light-text-emphasis)}.list-group-item-dark{--bs-list-group-color: var(--bs-dark-text-emphasis);--bs-list-group-bg: var(--bs-dark-bg-subtle);--bs-list-group-border-color: var(--bs-dark-border-subtle);--bs-list-group-action-hover-color: var(--bs-emphasis-color);--bs-list-group-action-hover-bg: var(--bs-dark-border-subtle);--bs-list-group-action-active-color: var(--bs-emphasis-color);--bs-list-group-action-active-bg: var(--bs-dark-border-subtle);--bs-list-group-active-color: var(--bs-dark-bg-subtle);--bs-list-group-active-bg: var(--bs-dark-text-emphasis);--bs-list-group-active-border-color: var(--bs-dark-text-emphasis)}.btn-close{--bs-btn-close-color: #000;--bs-btn-close-bg: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='%23000'%3e%3cpath d='M.293.293a1 1 0 0 1 1.414 0L8 6.586 14.293.293a1 1 0 1 1 1.414 1.414L9.414 8l6.293 6.293a1 1 0 0 1-1.414 1.414L8 9.414l-6.293 6.293a1 1 0 0 1-1.414-1.414L6.586 8 .293 1.707a1 1 0 0 1 0-1.414z'/%3e%3c/svg%3e");--bs-btn-close-opacity: .5;--bs-btn-close-hover-opacity: .75;--bs-btn-close-focus-shadow: 0 0 0 .25rem rgba(233,84,32,0.25);--bs-btn-close-focus-opacity: 1;--bs-btn-close-disabled-opacity: .25;--bs-btn-close-white-filter: invert(1) grayscale(100%) brightness(200%);box-sizing:content-box;width:1em;height:1em;padding:.25em .25em;color:var(--bs-btn-close-color);background:transparent var(--bs-btn-close-bg) center/1em auto no-repeat;border:0;border-radius:.375rem;opacity:var(--bs-btn-close-opacity)}.btn-close:hover{color:var(--bs-btn-close-color);text-decoration:none;opacity:var(--bs-btn-close-hover-opacity)}.btn-close:focus{outline:0;box-shadow:var(--bs-btn-close-focus-shadow);opacity:var(--bs-btn-close-focus-opacity)}.btn-close:disabled,.btn-close.disabled{pointer-events:none;user-select:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;-o-user-select:none;opacity:var(--bs-btn-close-disabled-opacity)}.btn-close-white{filter:var(--bs-btn-close-white-filter)}[data-bs-theme="dark"] .btn-close{filter:var(--bs-btn-close-white-filter)}.toast{--bs-toast-zindex: 1090;--bs-toast-padding-x: .75rem;--bs-toast-padding-y: .5rem;--bs-toast-spacing: 1.5rem;--bs-toast-max-width: 350px;--bs-toast-font-size:.875rem;--bs-toast-color: ;--bs-toast-bg: rgba(var(--bs-body-bg-rgb), 0.85);--bs-toast-border-width: var(--bs-border-width);--bs-toast-border-color: var(--bs-border-color-translucent);--bs-toast-border-radius: var(--bs-border-radius);--bs-toast-box-shadow: var(--bs-box-shadow);--bs-toast-header-color: var(--bs-secondary-color);--bs-toast-header-bg: rgba(var(--bs-body-bg-rgb), 0.85);--bs-toast-header-border-color: var(--bs-border-color-translucent);width:var(--bs-toast-max-width);max-width:100%;font-size:var(--bs-toast-font-size);color:var(--bs-toast-color);pointer-events:auto;background-color:var(--bs-toast-bg);background-clip:padding-box;border:var(--bs-toast-border-width) solid var(--bs-toast-border-color);box-shadow:var(--bs-toast-box-shadow);border-radius:var(--bs-toast-border-radius)}.toast.showing{opacity:0}.toast:not(.show){display:none}.toast-container{--bs-toast-zindex: 1090;position:absolute;z-index:var(--bs-toast-zindex);width:max-content;width:-webkit-max-content;width:-moz-max-content;width:-ms-max-content;width:-o-max-content;max-width:100%;pointer-events:none}.toast-container>:not(:last-child){margin-bottom:var(--bs-toast-spacing)}.toast-header{display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;padding:var(--bs-toast-padding-y) var(--bs-toast-padding-x);color:var(--bs-toast-header-color);background-color:var(--bs-toast-header-bg);background-clip:padding-box;border-bottom:var(--bs-toast-border-width) solid var(--bs-toast-header-border-color);border-top-left-radius:calc(var(--bs-toast-border-radius) - var(--bs-toast-border-width));border-top-right-radius:calc(var(--bs-toast-border-radius) - var(--bs-toast-border-width))}.toast-header .btn-close{margin-right:calc(-.5 * var(--bs-toast-padding-x));margin-left:var(--bs-toast-padding-x)}.toast-body{padding:var(--bs-toast-padding-x);word-wrap:break-word}.modal{--bs-modal-zindex: 1055;--bs-modal-width: 500px;--bs-modal-padding: 1rem;--bs-modal-margin: .5rem;--bs-modal-color: ;--bs-modal-bg: var(--bs-body-bg);--bs-modal-border-color: var(--bs-border-color-translucent);--bs-modal-border-width: var(--bs-border-width);--bs-modal-border-radius: var(--bs-border-radius-lg);--bs-modal-box-shadow: 0 0.125rem 0.25rem rgba(0,0,0,0.075);--bs-modal-inner-border-radius: calc(var(--bs-border-radius-lg) - (var(--bs-border-width)));--bs-modal-header-padding-x: 1rem;--bs-modal-header-padding-y: 1rem;--bs-modal-header-padding: 1rem 1rem;--bs-modal-header-border-color: var(--bs-border-color);--bs-modal-header-border-width: var(--bs-border-width);--bs-modal-title-line-height: 1.5;--bs-modal-footer-gap: .5rem;--bs-modal-footer-bg: ;--bs-modal-footer-border-color: var(--bs-border-color);--bs-modal-footer-border-width: var(--bs-border-width);position:fixed;top:0;left:0;z-index:var(--bs-modal-zindex);display:none;width:100%;height:100%;overflow-x:hidden;overflow-y:auto;outline:0}.modal-dialog{position:relative;width:auto;margin:var(--bs-modal-margin);pointer-events:none}.modal.fade .modal-dialog{transition:transform 0.3s ease-out;transform:translate(0, -50px)}@media (prefers-reduced-motion: reduce){.modal.fade .modal-dialog{transition:none}}.modal.show .modal-dialog{transform:none}.modal.modal-static .modal-dialog{transform:scale(1.02)}.modal-dialog-scrollable{height:calc(100% - var(--bs-modal-margin) * 2)}.modal-dialog-scrollable .modal-content{max-height:100%;overflow:hidden}.modal-dialog-scrollable .modal-body{overflow-y:auto}.modal-dialog-centered{display:flex;display:-webkit-flex;align-items:center;-webkit-align-items:center;min-height:calc(100% - var(--bs-modal-margin) * 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.modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-sm-down .modal-header,.modal-fullscreen-sm-down .modal-footer{border-radius:0}.modal-fullscreen-sm-down .modal-body{overflow-y:auto}}@media (max-width: 767.98px){.modal-fullscreen-md-down{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen-md-down .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-md-down .modal-header,.modal-fullscreen-md-down .modal-footer{border-radius:0}.modal-fullscreen-md-down .modal-body{overflow-y:auto}}@media (max-width: 991.98px){.modal-fullscreen-lg-down{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen-lg-down .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-lg-down .modal-header,.modal-fullscreen-lg-down .modal-footer{border-radius:0}.modal-fullscreen-lg-down .modal-body{overflow-y:auto}}@media (max-width: 1199.98px){.modal-fullscreen-xl-down{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen-xl-down .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-xl-down .modal-header,.modal-fullscreen-xl-down .modal-footer{border-radius:0}.modal-fullscreen-xl-down .modal-body{overflow-y:auto}}@media (max-width: 1399.98px){.modal-fullscreen-xxl-down{width:100vw;max-width:none;height:100%;margin:0}.modal-fullscreen-xxl-down .modal-content{height:100%;border:0;border-radius:0}.modal-fullscreen-xxl-down .modal-header,.modal-fullscreen-xxl-down .modal-footer{border-radius:0}.modal-fullscreen-xxl-down .modal-body{overflow-y:auto}}.tooltip{--bs-tooltip-zindex: 1080;--bs-tooltip-max-width: 200px;--bs-tooltip-padding-x: .5rem;--bs-tooltip-padding-y: .25rem;--bs-tooltip-margin: ;--bs-tooltip-font-size:.875rem;--bs-tooltip-color: var(--bs-body-bg);--bs-tooltip-bg: var(--bs-emphasis-color);--bs-tooltip-border-radius: var(--bs-border-radius);--bs-tooltip-opacity: .9;--bs-tooltip-arrow-width: .8rem;--bs-tooltip-arrow-height: 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diff --git a/deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js b/deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js
new file mode 100644
index 0000000..c628326
--- /dev/null
+++ b/deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js
@@ -0,0 +1,5 @@
+/*!
+ * Bootstrap Table of Contents v1.0.1 (http://afeld.github.io/bootstrap-toc/)
+ * Copyright 2015 Aidan Feldman
+ * Licensed under MIT (https://github.com/afeld/bootstrap-toc/blob/gh-pages/LICENSE.md) */
+!function(a){"use strict";window.Toc={helpers:{findOrFilter:function(e,t){var n=e.find(t);return e.filter(t).add(n).filter(":not([data-toc-skip])")},generateUniqueIdBase:function(e){return a(e).text().trim().replace(/\'/gi,"").replace(/[& +$,:;=?@"#{}|^~[`%!'<>\]\.\/\(\)\*\\\n\t\b\v]/g,"-").replace(/-{2,}/g,"-").substring(0,64).replace(/^-+|-+$/gm,"").toLowerCase()||e.tagName.toLowerCase()},generateUniqueId:function(e){for(var t=this.generateUniqueIdBase(e),n=0;;n++){var r=t;if(0<n&&(r+="-"+n),!document.getElementById(r))return r}},generateAnchor:function(e){if(e.id)return e.id;var t=this.generateUniqueId(e);return e.id=t},createNavList:function(){return a('<ul class="nav navbar-nav"></ul>')},createChildNavList:function(e){var t=this.createNavList();return e.append(t),t},generateNavEl:function(e,t){var n=a('<a class="nav-link"></a>');n.attr("href","#"+e),n.text(t);var r=a("<li></li>");return r.append(n),r},generateNavItem:function(e){var t=this.generateAnchor(e),n=a(e),r=n.data("toc-text")||n.text();return this.generateNavEl(t,r)},getTopLevel:function(e){for(var t=1;t<=6;t++){if(1<this.findOrFilter(e,"h"+t).length)return t}return 1},getHeadings:function(e,t){var n="h"+t,r="h"+(t+1);return this.findOrFilter(e,n+","+r)},getNavLevel:function(e){return parseInt(e.tagName.charAt(1),10)},populateNav:function(r,a,e){var i,s=r,c=this;e.each(function(e,t){var n=c.generateNavItem(t);c.getNavLevel(t)===a?s=r:i&&s===r&&(s=c.createChildNavList(i)),s.append(n),i=n})},parseOps:function(e){var t;return(t=e.jquery?{$nav:e}:e).$scope=t.$scope||a(document.body),t}},init:function(e){(e=this.helpers.parseOps(e)).$nav.attr("data-toggle","toc");var t=this.helpers.createChildNavList(e.$nav),n=this.helpers.getTopLevel(e.$scope),r=this.helpers.getHeadings(e.$scope,n);this.helpers.populateNav(t,n,r)}},a(function(){a('nav[data-toggle="toc"]').each(function(e,t){var n=a(t);Toc.init(n)})})}(jQuery);
\ No newline at end of file
diff --git a/deps/clipboard.js-2.0.11/clipboard.min.js b/deps/clipboard.js-2.0.11/clipboard.min.js
new file mode 100644
index 0000000..1103f81
--- /dev/null
+++ b/deps/clipboard.js-2.0.11/clipboard.min.js
@@ -0,0 +1,7 @@
+/*!
+ * clipboard.js v2.0.11
+ * https://clipboardjs.com/
+ *
+ * Licensed MIT © Zeno Rocha
+ */
+!function(t,e){"object"==typeof exports&&"object"==typeof module?module.exports=e():"function"==typeof define&&define.amd?define([],e):"object"==typeof exports?exports.ClipboardJS=e():t.ClipboardJS=e()}(this,function(){return n={686:function(t,e,n){"use strict";n.d(e,{default:function(){return b}});var e=n(279),i=n.n(e),e=n(370),u=n.n(e),e=n(817),r=n.n(e);function c(t){try{return document.execCommand(t)}catch(t){return}}var a=function(t){t=r()(t);return c("cut"),t};function o(t,e){var n,o,t=(n=t,o="rtl"===document.documentElement.getAttribute("dir"),(t=document.createElement("textarea")).style.fontSize="12pt",t.style.border="0",t.style.padding="0",t.style.margin="0",t.style.position="absolute",t.style[o?"right":"left"]="-9999px",o=window.pageYOffset||document.documentElement.scrollTop,t.style.top="".concat(o,"px"),t.setAttribute("readonly",""),t.value=n,t);return e.container.appendChild(t),e=r()(t),c("copy"),t.remove(),e}var f=function(t){var e=1<arguments.length&&void 0!==arguments[1]?arguments[1]:{container:document.body},n="";return"string"==typeof t?n=o(t,e):t instanceof HTMLInputElement&&!["text","search","url","tel","password"].includes(null==t?void 0:t.type)?n=o(t.value,e):(n=r()(t),c("copy")),n};function l(t){return(l="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}var s=function(){var t=0<arguments.length&&void 0!==arguments[0]?arguments[0]:{},e=t.action,n=void 0===e?"copy":e,o=t.container,e=t.target,t=t.text;if("copy"!==n&&"cut"!==n)throw new Error('Invalid "action" value, use either "copy" or "cut"');if(void 0!==e){if(!e||"object"!==l(e)||1!==e.nodeType)throw new Error('Invalid "target" value, use a valid Element');if("copy"===n&&e.hasAttribute("disabled"))throw new Error('Invalid "target" attribute. 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t=o?(t=v(this).constructor,Reflect.construct(e,arguments,t)):e.apply(this,arguments),e=this,!(t=t)||"object"!==p(t)&&"function"!=typeof t?function(t){if(void 0!==t)return t;throw new ReferenceError("this hasn't been initialised - super() hasn't been called")}(e):t}}function v(t){return(v=Object.setPrototypeOf?Object.getPrototypeOf:function(t){return t.__proto__||Object.getPrototypeOf(t)})(t)}function m(t,e){t="data-clipboard-".concat(t);if(e.hasAttribute(t))return e.getAttribute(t)}var b=function(){!function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Super expression must either be null or a function");t.prototype=Object.create(e&&e.prototype,{constructor:{value:t,writable:!0,configurable:!0}}),e&&y(t,e)}(r,i());var t,e,n,o=h(r);function r(t,e){var n;return function(t){if(!(t instanceof r))throw new TypeError("Cannot call a class as a function")}(this),(n=o.call(this)).resolveOptions(e),n.listenClick(t),n}return t=r,n=[{key:"copy",value:function(t){var e=1<arguments.length&&void 0!==arguments[1]?arguments[1]:{container:document.body};return f(t,e)}},{key:"cut",value:function(t){return a(t)}},{key:"isSupported",value:function(){var t=0<arguments.length&&void 0!==arguments[0]?arguments[0]:["copy","cut"],t="string"==typeof t?[t]:t,e=!!document.queryCommandSupported;return t.forEach(function(t){e=e&&!!document.queryCommandSupported(t)}),e}}],(e=[{key:"resolveOptions",value:function(){var t=0<arguments.length&&void 0!==arguments[0]?arguments[0]:{};this.action="function"==typeof t.action?t.action:this.defaultAction,this.target="function"==typeof t.target?t.target:this.defaultTarget,this.text="function"==typeof t.text?t.text:this.defaultText,this.container="object"===p(t.container)?t.container:document.body}},{key:"listenClick",value:function(t){var e=this;this.listener=u()(t,"click",function(t){return e.onClick(t)})}},{key:"onClick",value:function(t){var e=t.delegateTarget||t.currentTarget,n=this.action(e)||"copy",t=s({action:n,container:this.container,target:this.target(e),text:this.text(e)});this.emit(t?"success":"error",{action:n,text:t,trigger:e,clearSelection:function(){e&&e.focus(),window.getSelection().removeAllRanges()}})}},{key:"defaultAction",value:function(t){return m("action",t)}},{key:"defaultTarget",value:function(t){t=m("target",t);if(t)return document.querySelector(t)}},{key:"defaultText",value:function(t){return m("text",t)}},{key:"destroy",value:function(){this.listener.destroy()}}])&&d(t.prototype,e),n&&d(t,n),r}()},828:function(t){var e;"undefined"==typeof Element||Element.prototype.matches||((e=Element.prototype).matches=e.matchesSelector||e.mozMatchesSelector||e.msMatchesSelector||e.oMatchesSelector||e.webkitMatchesSelector),t.exports=function(t,e){for(;t&&9!==t.nodeType;){if("function"==typeof t.matches&&t.matches(e))return t;t=t.parentNode}}},438:function(t,e,n){var u=n(828);function i(t,e,n,o,r){var 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e,n="SELECT"===t.nodeName?(t.focus(),t.value):"INPUT"===t.nodeName||"TEXTAREA"===t.nodeName?((e=t.hasAttribute("readonly"))||t.setAttribute("readonly",""),t.select(),t.setSelectionRange(0,t.value.length),e||t.removeAttribute("readonly"),t.value):(t.hasAttribute("contenteditable")&&t.focus(),n=window.getSelection(),(e=document.createRange()).selectNodeContents(t),n.removeAllRanges(),n.addRange(e),n.toString());return n}},279:function(t){function e(){}e.prototype={on:function(t,e,n){var o=this.e||(this.e={});return(o[t]||(o[t]=[])).push({fn:e,ctx:n}),this},once:function(t,e,n){var o=this;function r(){o.off(t,r),e.apply(n,arguments)}return r._=e,this.on(t,r,n)},emit:function(t){for(var e=[].slice.call(arguments,1),n=((this.e||(this.e={}))[t]||[]).slice(),o=0,r=n.length;o<r;o++)n[o].fn.apply(n[o].ctx,e);return this},off:function(t,e){var n=this.e||(this.e={}),o=n[t],r=[];if(o&&e)for(var i=0,u=o.length;i<u;i++)o[i].fn!==e&&o[i].fn._!==e&&r.push(o[i]);return r.length?n[t]=r:delete 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\ No newline at end of file
diff --git a/deps/data-deps.txt b/deps/data-deps.txt
index 693b82d..8aa49e2 100644
--- a/deps/data-deps.txt
+++ b/deps/data-deps.txt
@@ -2,3 +2,12 @@
 <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no" />
 <link href="deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet" />
 <script src="deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script>
+<link href="deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet" />
+<link href="deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet" />
+<script src="deps/headroom-0.11.0/headroom.min.js"></script>
+<script src="deps/headroom-0.11.0/jQuery.headroom.min.js"></script>
+<script src="deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script>
+<script src="deps/clipboard.js-2.0.11/clipboard.min.js"></script>
+<script src="deps/search-1.0.0/autocomplete.jquery.min.js"></script>
+<script src="deps/search-1.0.0/fuse.min.js"></script>
+<script src="deps/search-1.0.0/mark.min.js"></script>
diff --git a/deps/font-awesome-6.4.2/css/all.css b/deps/font-awesome-6.4.2/css/all.css
new file mode 100644
index 0000000..bdb6e3a
--- /dev/null
+++ b/deps/font-awesome-6.4.2/css/all.css
@@ -0,0 +1,7968 @@
+/*!
+ * Font Awesome Free 6.4.2 by @fontawesome - https://fontawesome.com
+ * License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License)
+ * Copyright 2023 Fonticons, Inc.
+ */
+.fa {
+  font-family: var(--fa-style-family, "Font Awesome 6 Free");
+  font-weight: var(--fa-style, 900); }
+
+.fa,
+.fa-classic,
+.fa-sharp,
+.fas,
+.fa-solid,
+.far,
+.fa-regular,
+.fab,
+.fa-brands {
+  -moz-osx-font-smoothing: grayscale;
+  -webkit-font-smoothing: antialiased;
+  display: var(--fa-display, inline-block);
+  font-style: normal;
+  font-variant: normal;
+  line-height: 1;
+  text-rendering: auto; }
+
+.fas,
+.fa-classic,
+.fa-solid,
+.far,
+.fa-regular {
+  font-family: 'Font Awesome 6 Free'; }
+
+.fab,
+.fa-brands {
+  font-family: 'Font Awesome 6 Brands'; }
+
+.fa-1x {
+  font-size: 1em; }
+
+.fa-2x {
+  font-size: 2em; }
+
+.fa-3x {
+  font-size: 3em; }
+
+.fa-4x {
+  font-size: 4em; }
+
+.fa-5x {
+  font-size: 5em; }
+
+.fa-6x {
+  font-size: 6em; }
+
+.fa-7x {
+  font-size: 7em; }
+
+.fa-8x {
+  font-size: 8em; }
+
+.fa-9x {
+  font-size: 9em; }
+
+.fa-10x {
+  font-size: 10em; }
+
+.fa-2xs {
+  font-size: 0.625em;
+  line-height: 0.1em;
+  vertical-align: 0.225em; }
+
+.fa-xs {
+  font-size: 0.75em;
+  line-height: 0.08333em;
+  vertical-align: 0.125em; }
+
+.fa-sm {
+  font-size: 0.875em;
+  line-height: 0.07143em;
+  vertical-align: 0.05357em; }
+
+.fa-lg {
+  font-size: 1.25em;
+  line-height: 0.05em;
+  vertical-align: -0.075em; }
+
+.fa-xl {
+  font-size: 1.5em;
+  line-height: 0.04167em;
+  vertical-align: -0.125em; }
+
+.fa-2xl {
+  font-size: 2em;
+  line-height: 0.03125em;
+  vertical-align: -0.1875em; }
+
+.fa-fw {
+  text-align: center;
+  width: 1.25em; }
+
+.fa-ul {
+  list-style-type: none;
+  margin-left: var(--fa-li-margin, 2.5em);
+  padding-left: 0; }
+  .fa-ul > li {
+    position: relative; }
+
+.fa-li {
+  left: calc(var(--fa-li-width, 2em) * -1);
+  position: absolute;
+  text-align: center;
+  width: var(--fa-li-width, 2em);
+  line-height: inherit; }
+
+.fa-border {
+  border-color: var(--fa-border-color, #eee);
+  border-radius: var(--fa-border-radius, 0.1em);
+  border-style: var(--fa-border-style, solid);
+  border-width: var(--fa-border-width, 0.08em);
+  padding: var(--fa-border-padding, 0.2em 0.25em 0.15em); }
+
+.fa-pull-left {
+  float: left;
+  margin-right: var(--fa-pull-margin, 0.3em); }
+
+.fa-pull-right {
+  float: right;
+  margin-left: var(--fa-pull-margin, 0.3em); }
+
+.fa-beat {
+  -webkit-animation-name: fa-beat;
+          animation-name: fa-beat;
+  -webkit-animation-delay: var(--fa-animation-delay, 0s);
+          animation-delay: var(--fa-animation-delay, 0s);
+  -webkit-animation-direction: var(--fa-animation-direction, normal);
+          animation-direction: var(--fa-animation-direction, normal);
+  -webkit-animation-duration: var(--fa-animation-duration, 1s);
+          animation-duration: var(--fa-animation-duration, 1s);
+  -webkit-animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+          animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+  -webkit-animation-timing-function: var(--fa-animation-timing, ease-in-out);
+          animation-timing-function: var(--fa-animation-timing, ease-in-out); }
+
+.fa-bounce {
+  -webkit-animation-name: fa-bounce;
+          animation-name: fa-bounce;
+  -webkit-animation-delay: var(--fa-animation-delay, 0s);
+          animation-delay: var(--fa-animation-delay, 0s);
+  -webkit-animation-direction: var(--fa-animation-direction, normal);
+          animation-direction: var(--fa-animation-direction, normal);
+  -webkit-animation-duration: var(--fa-animation-duration, 1s);
+          animation-duration: var(--fa-animation-duration, 1s);
+  -webkit-animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+          animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+  -webkit-animation-timing-function: var(--fa-animation-timing, cubic-bezier(0.28, 0.84, 0.42, 1));
+          animation-timing-function: var(--fa-animation-timing, cubic-bezier(0.28, 0.84, 0.42, 1)); }
+
+.fa-fade {
+  -webkit-animation-name: fa-fade;
+          animation-name: fa-fade;
+  -webkit-animation-delay: var(--fa-animation-delay, 0s);
+          animation-delay: var(--fa-animation-delay, 0s);
+  -webkit-animation-direction: var(--fa-animation-direction, normal);
+          animation-direction: var(--fa-animation-direction, normal);
+  -webkit-animation-duration: var(--fa-animation-duration, 1s);
+          animation-duration: var(--fa-animation-duration, 1s);
+  -webkit-animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+          animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+  -webkit-animation-timing-function: var(--fa-animation-timing, cubic-bezier(0.4, 0, 0.6, 1));
+          animation-timing-function: var(--fa-animation-timing, cubic-bezier(0.4, 0, 0.6, 1)); }
+
+.fa-beat-fade {
+  -webkit-animation-name: fa-beat-fade;
+          animation-name: fa-beat-fade;
+  -webkit-animation-delay: var(--fa-animation-delay, 0s);
+          animation-delay: var(--fa-animation-delay, 0s);
+  -webkit-animation-direction: var(--fa-animation-direction, normal);
+          animation-direction: var(--fa-animation-direction, normal);
+  -webkit-animation-duration: var(--fa-animation-duration, 1s);
+          animation-duration: var(--fa-animation-duration, 1s);
+  -webkit-animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+          animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+  -webkit-animation-timing-function: var(--fa-animation-timing, cubic-bezier(0.4, 0, 0.6, 1));
+          animation-timing-function: var(--fa-animation-timing, cubic-bezier(0.4, 0, 0.6, 1)); }
+
+.fa-flip {
+  -webkit-animation-name: fa-flip;
+          animation-name: fa-flip;
+  -webkit-animation-delay: var(--fa-animation-delay, 0s);
+          animation-delay: var(--fa-animation-delay, 0s);
+  -webkit-animation-direction: var(--fa-animation-direction, normal);
+          animation-direction: var(--fa-animation-direction, normal);
+  -webkit-animation-duration: var(--fa-animation-duration, 1s);
+          animation-duration: var(--fa-animation-duration, 1s);
+  -webkit-animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+          animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+  -webkit-animation-timing-function: var(--fa-animation-timing, ease-in-out);
+          animation-timing-function: var(--fa-animation-timing, ease-in-out); }
+
+.fa-shake {
+  -webkit-animation-name: fa-shake;
+          animation-name: fa-shake;
+  -webkit-animation-delay: var(--fa-animation-delay, 0s);
+          animation-delay: var(--fa-animation-delay, 0s);
+  -webkit-animation-direction: var(--fa-animation-direction, normal);
+          animation-direction: var(--fa-animation-direction, normal);
+  -webkit-animation-duration: var(--fa-animation-duration, 1s);
+          animation-duration: var(--fa-animation-duration, 1s);
+  -webkit-animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+          animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+  -webkit-animation-timing-function: var(--fa-animation-timing, linear);
+          animation-timing-function: var(--fa-animation-timing, linear); }
+
+.fa-spin {
+  -webkit-animation-name: fa-spin;
+          animation-name: fa-spin;
+  -webkit-animation-delay: var(--fa-animation-delay, 0s);
+          animation-delay: var(--fa-animation-delay, 0s);
+  -webkit-animation-direction: var(--fa-animation-direction, normal);
+          animation-direction: var(--fa-animation-direction, normal);
+  -webkit-animation-duration: var(--fa-animation-duration, 2s);
+          animation-duration: var(--fa-animation-duration, 2s);
+  -webkit-animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+          animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+  -webkit-animation-timing-function: var(--fa-animation-timing, linear);
+          animation-timing-function: var(--fa-animation-timing, linear); }
+
+.fa-spin-reverse {
+  --fa-animation-direction: reverse; }
+
+.fa-pulse,
+.fa-spin-pulse {
+  -webkit-animation-name: fa-spin;
+          animation-name: fa-spin;
+  -webkit-animation-direction: var(--fa-animation-direction, normal);
+          animation-direction: var(--fa-animation-direction, normal);
+  -webkit-animation-duration: var(--fa-animation-duration, 1s);
+          animation-duration: var(--fa-animation-duration, 1s);
+  -webkit-animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+          animation-iteration-count: var(--fa-animation-iteration-count, infinite);
+  -webkit-animation-timing-function: var(--fa-animation-timing, steps(8));
+          animation-timing-function: var(--fa-animation-timing, steps(8)); }
+
+@media (prefers-reduced-motion: reduce) {
+  .fa-beat,
+  .fa-bounce,
+  .fa-fade,
+  .fa-beat-fade,
+  .fa-flip,
+  .fa-pulse,
+  .fa-shake,
+  .fa-spin,
+  .fa-spin-pulse {
+    -webkit-animation-delay: -1ms;
+            animation-delay: -1ms;
+    -webkit-animation-duration: 1ms;
+            animation-duration: 1ms;
+    -webkit-animation-iteration-count: 1;
+            animation-iteration-count: 1;
+    -webkit-transition-delay: 0s;
+            transition-delay: 0s;
+    -webkit-transition-duration: 0s;
+            transition-duration: 0s; } }
+
+@-webkit-keyframes fa-beat {
+  0%, 90% {
+    -webkit-transform: scale(1);
+            transform: scale(1); }
+  45% {
+    -webkit-transform: scale(var(--fa-beat-scale, 1.25));
+            transform: scale(var(--fa-beat-scale, 1.25)); } }
+
+@keyframes fa-beat {
+  0%, 90% {
+    -webkit-transform: scale(1);
+            transform: scale(1); }
+  45% {
+    -webkit-transform: scale(var(--fa-beat-scale, 1.25));
+            transform: scale(var(--fa-beat-scale, 1.25)); } }
+
+@-webkit-keyframes fa-bounce {
+  0% {
+    -webkit-transform: scale(1, 1) translateY(0);
+            transform: scale(1, 1) translateY(0); }
+  10% {
+    -webkit-transform: scale(var(--fa-bounce-start-scale-x, 1.1), var(--fa-bounce-start-scale-y, 0.9)) translateY(0);
+            transform: scale(var(--fa-bounce-start-scale-x, 1.1), var(--fa-bounce-start-scale-y, 0.9)) translateY(0); }
+  30% {
+    -webkit-transform: scale(var(--fa-bounce-jump-scale-x, 0.9), var(--fa-bounce-jump-scale-y, 1.1)) translateY(var(--fa-bounce-height, -0.5em));
+            transform: scale(var(--fa-bounce-jump-scale-x, 0.9), var(--fa-bounce-jump-scale-y, 1.1)) translateY(var(--fa-bounce-height, -0.5em)); }
+  50% {
+    -webkit-transform: scale(var(--fa-bounce-land-scale-x, 1.05), var(--fa-bounce-land-scale-y, 0.95)) translateY(0);
+            transform: scale(var(--fa-bounce-land-scale-x, 1.05), var(--fa-bounce-land-scale-y, 0.95)) translateY(0); }
+  57% {
+    -webkit-transform: scale(1, 1) translateY(var(--fa-bounce-rebound, -0.125em));
+            transform: scale(1, 1) translateY(var(--fa-bounce-rebound, -0.125em)); }
+  64% {
+    -webkit-transform: scale(1, 1) translateY(0);
+            transform: scale(1, 1) translateY(0); }
+  100% {
+    -webkit-transform: scale(1, 1) translateY(0);
+            transform: scale(1, 1) translateY(0); } }
+
+@keyframes fa-bounce {
+  0% {
+    -webkit-transform: scale(1, 1) translateY(0);
+            transform: scale(1, 1) translateY(0); }
+  10% {
+    -webkit-transform: scale(var(--fa-bounce-start-scale-x, 1.1), var(--fa-bounce-start-scale-y, 0.9)) translateY(0);
+            transform: scale(var(--fa-bounce-start-scale-x, 1.1), var(--fa-bounce-start-scale-y, 0.9)) translateY(0); }
+  30% {
+    -webkit-transform: scale(var(--fa-bounce-jump-scale-x, 0.9), var(--fa-bounce-jump-scale-y, 1.1)) translateY(var(--fa-bounce-height, -0.5em));
+            transform: scale(var(--fa-bounce-jump-scale-x, 0.9), var(--fa-bounce-jump-scale-y, 1.1)) translateY(var(--fa-bounce-height, -0.5em)); }
+  50% {
+    -webkit-transform: scale(var(--fa-bounce-land-scale-x, 1.05), var(--fa-bounce-land-scale-y, 0.95)) translateY(0);
+            transform: scale(var(--fa-bounce-land-scale-x, 1.05), var(--fa-bounce-land-scale-y, 0.95)) translateY(0); }
+  57% {
+    -webkit-transform: scale(1, 1) translateY(var(--fa-bounce-rebound, -0.125em));
+            transform: scale(1, 1) translateY(var(--fa-bounce-rebound, -0.125em)); }
+  64% {
+    -webkit-transform: scale(1, 1) translateY(0);
+            transform: scale(1, 1) translateY(0); }
+  100% {
+    -webkit-transform: scale(1, 1) translateY(0);
+            transform: scale(1, 1) translateY(0); } }
+
+@-webkit-keyframes fa-fade {
+  50% {
+    opacity: var(--fa-fade-opacity, 0.4); } }
+
+@keyframes fa-fade {
+  50% {
+    opacity: var(--fa-fade-opacity, 0.4); } }
+
+@-webkit-keyframes fa-beat-fade {
+  0%, 100% {
+    opacity: var(--fa-beat-fade-opacity, 0.4);
+    -webkit-transform: scale(1);
+            transform: scale(1); }
+  50% {
+    opacity: 1;
+    -webkit-transform: scale(var(--fa-beat-fade-scale, 1.125));
+            transform: scale(var(--fa-beat-fade-scale, 1.125)); } }
+
+@keyframes fa-beat-fade {
+  0%, 100% {
+    opacity: var(--fa-beat-fade-opacity, 0.4);
+    -webkit-transform: scale(1);
+            transform: scale(1); }
+  50% {
+    opacity: 1;
+    -webkit-transform: scale(var(--fa-beat-fade-scale, 1.125));
+            transform: scale(var(--fa-beat-fade-scale, 1.125)); } }
+
+@-webkit-keyframes fa-flip {
+  50% {
+    -webkit-transform: rotate3d(var(--fa-flip-x, 0), var(--fa-flip-y, 1), var(--fa-flip-z, 0), var(--fa-flip-angle, -180deg));
+            transform: rotate3d(var(--fa-flip-x, 0), var(--fa-flip-y, 1), var(--fa-flip-z, 0), var(--fa-flip-angle, -180deg)); } }
+
+@keyframes fa-flip {
+  50% {
+    -webkit-transform: rotate3d(var(--fa-flip-x, 0), var(--fa-flip-y, 1), var(--fa-flip-z, 0), var(--fa-flip-angle, -180deg));
+            transform: rotate3d(var(--fa-flip-x, 0), var(--fa-flip-y, 1), var(--fa-flip-z, 0), var(--fa-flip-angle, -180deg)); } }
+
+@-webkit-keyframes fa-shake {
+  0% {
+    -webkit-transform: rotate(-15deg);
+            transform: rotate(-15deg); }
+  4% {
+    -webkit-transform: rotate(15deg);
+            transform: rotate(15deg); }
+  8%, 24% {
+    -webkit-transform: rotate(-18deg);
+            transform: rotate(-18deg); }
+  12%, 28% {
+    -webkit-transform: rotate(18deg);
+            transform: rotate(18deg); }
+  16% {
+    -webkit-transform: rotate(-22deg);
+            transform: rotate(-22deg); }
+  20% {
+    -webkit-transform: rotate(22deg);
+            transform: rotate(22deg); }
+  32% {
+    -webkit-transform: rotate(-12deg);
+            transform: rotate(-12deg); }
+  36% {
+    -webkit-transform: rotate(12deg);
+            transform: rotate(12deg); }
+  40%, 100% {
+    -webkit-transform: rotate(0deg);
+            transform: rotate(0deg); } }
+
+@keyframes fa-shake {
+  0% {
+    -webkit-transform: rotate(-15deg);
+            transform: rotate(-15deg); }
+  4% {
+    -webkit-transform: rotate(15deg);
+            transform: rotate(15deg); }
+  8%, 24% {
+    -webkit-transform: rotate(-18deg);
+            transform: rotate(-18deg); }
+  12%, 28% {
+    -webkit-transform: rotate(18deg);
+            transform: rotate(18deg); }
+  16% {
+    -webkit-transform: rotate(-22deg);
+            transform: rotate(-22deg); }
+  20% {
+    -webkit-transform: rotate(22deg);
+            transform: rotate(22deg); }
+  32% {
+    -webkit-transform: rotate(-12deg);
+            transform: rotate(-12deg); }
+  36% {
+    -webkit-transform: rotate(12deg);
+            transform: rotate(12deg); }
+  40%, 100% {
+    -webkit-transform: rotate(0deg);
+            transform: rotate(0deg); } }
+
+@-webkit-keyframes fa-spin {
+  0% {
+    -webkit-transform: rotate(0deg);
+            transform: rotate(0deg); }
+  100% {
+    -webkit-transform: rotate(360deg);
+            transform: rotate(360deg); } }
+
+@keyframes fa-spin {
+  0% {
+    -webkit-transform: rotate(0deg);
+            transform: rotate(0deg); }
+  100% {
+    -webkit-transform: rotate(360deg);
+            transform: rotate(360deg); } }
+
+.fa-rotate-90 {
+  -webkit-transform: rotate(90deg);
+          transform: rotate(90deg); }
+
+.fa-rotate-180 {
+  -webkit-transform: rotate(180deg);
+          transform: rotate(180deg); }
+
+.fa-rotate-270 {
+  -webkit-transform: rotate(270deg);
+          transform: rotate(270deg); }
+
+.fa-flip-horizontal {
+  -webkit-transform: scale(-1, 1);
+          transform: scale(-1, 1); }
+
+.fa-flip-vertical {
+  -webkit-transform: scale(1, -1);
+          transform: scale(1, -1); }
+
+.fa-flip-both,
+.fa-flip-horizontal.fa-flip-vertical {
+  -webkit-transform: scale(-1, -1);
+          transform: scale(-1, -1); }
+
+.fa-rotate-by {
+  -webkit-transform: rotate(var(--fa-rotate-angle, none));
+          transform: rotate(var(--fa-rotate-angle, none)); }
+
+.fa-stack {
+  display: inline-block;
+  height: 2em;
+  line-height: 2em;
+  position: relative;
+  vertical-align: middle;
+  width: 2.5em; }
+
+.fa-stack-1x,
+.fa-stack-2x {
+  left: 0;
+  position: absolute;
+  text-align: center;
+  width: 100%;
+  z-index: var(--fa-stack-z-index, auto); }
+
+.fa-stack-1x {
+  line-height: inherit; }
+
+.fa-stack-2x {
+  font-size: 2em; }
+
+.fa-inverse {
+  color: var(--fa-inverse, #fff); }
+
+/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
+readers do not read off random characters that represent icons */
+
+.fa-0::before {
+  content: "\30"; }
+
+.fa-1::before {
+  content: "\31"; }
+
+.fa-2::before {
+  content: "\32"; }
+
+.fa-3::before {
+  content: "\33"; }
+
+.fa-4::before {
+  content: "\34"; }
+
+.fa-5::before {
+  content: "\35"; }
+
+.fa-6::before {
+  content: "\36"; }
+
+.fa-7::before {
+  content: "\37"; }
+
+.fa-8::before {
+  content: "\38"; }
+
+.fa-9::before {
+  content: "\39"; }
+
+.fa-fill-drip::before {
+  content: "\f576"; }
+
+.fa-arrows-to-circle::before {
+  content: "\e4bd"; }
+
+.fa-circle-chevron-right::before {
+  content: "\f138"; }
+
+.fa-chevron-circle-right::before {
+  content: "\f138"; }
+
+.fa-at::before {
+  content: "\40"; }
+
+.fa-trash-can::before {
+  content: "\f2ed"; }
+
+.fa-trash-alt::before {
+  content: "\f2ed"; }
+
+.fa-text-height::before {
+  content: "\f034"; }
+
+.fa-user-xmark::before {
+  content: "\f235"; }
+
+.fa-user-times::before {
+  content: "\f235"; }
+
+.fa-stethoscope::before {
+  content: "\f0f1"; }
+
+.fa-message::before {
+  content: "\f27a"; }
+
+.fa-comment-alt::before {
+  content: "\f27a"; }
+
+.fa-info::before {
+  content: "\f129"; }
+
+.fa-down-left-and-up-right-to-center::before {
+  content: "\f422"; }
+
+.fa-compress-alt::before {
+  content: "\f422"; }
+
+.fa-explosion::before {
+  content: "\e4e9"; }
+
+.fa-file-lines::before {
+  content: "\f15c"; }
+
+.fa-file-alt::before {
+  content: "\f15c"; }
+
+.fa-file-text::before {
+  content: "\f15c"; }
+
+.fa-wave-square::before {
+  content: "\f83e"; }
+
+.fa-ring::before {
+  content: "\f70b"; }
+
+.fa-building-un::before {
+  content: "\e4d9"; }
+
+.fa-dice-three::before {
+  content: "\f527"; }
+
+.fa-calendar-days::before {
+  content: "\f073"; }
+
+.fa-calendar-alt::before {
+  content: "\f073"; }
+
+.fa-anchor-circle-check::before {
+  content: "\e4aa"; }
+
+.fa-building-circle-arrow-right::before {
+  content: "\e4d1"; }
+
+.fa-volleyball::before {
+  content: "\f45f"; }
+
+.fa-volleyball-ball::before {
+  content: "\f45f"; }
+
+.fa-arrows-up-to-line::before {
+  content: "\e4c2"; }
+
+.fa-sort-down::before {
+  content: "\f0dd"; }
+
+.fa-sort-desc::before {
+  content: "\f0dd"; }
+
+.fa-circle-minus::before {
+  content: "\f056"; }
+
+.fa-minus-circle::before {
+  content: "\f056"; }
+
+.fa-door-open::before {
+  content: "\f52b"; }
+
+.fa-right-from-bracket::before {
+  content: "\f2f5"; }
+
+.fa-sign-out-alt::before {
+  content: "\f2f5"; }
+
+.fa-atom::before {
+  content: "\f5d2"; }
+
+.fa-soap::before {
+  content: "\e06e"; }
+
+.fa-icons::before {
+  content: "\f86d"; }
+
+.fa-heart-music-camera-bolt::before {
+  content: "\f86d"; }
+
+.fa-microphone-lines-slash::before {
+  content: "\f539"; }
+
+.fa-microphone-alt-slash::before {
+  content: "\f539"; }
+
+.fa-bridge-circle-check::before {
+  content: "\e4c9"; }
+
+.fa-pump-medical::before {
+  content: "\e06a"; }
+
+.fa-fingerprint::before {
+  content: "\f577"; }
+
+.fa-hand-point-right::before {
+  content: "\f0a4"; }
+
+.fa-magnifying-glass-location::before {
+  content: "\f689"; }
+
+.fa-search-location::before {
+  content: "\f689"; }
+
+.fa-forward-step::before {
+  content: "\f051"; }
+
+.fa-step-forward::before {
+  content: "\f051"; }
+
+.fa-face-smile-beam::before {
+  content: "\f5b8"; }
+
+.fa-smile-beam::before {
+  content: "\f5b8"; }
+
+.fa-flag-checkered::before {
+  content: "\f11e"; }
+
+.fa-football::before {
+  content: "\f44e"; }
+
+.fa-football-ball::before {
+  content: "\f44e"; }
+
+.fa-school-circle-exclamation::before {
+  content: "\e56c"; }
+
+.fa-crop::before {
+  content: "\f125"; }
+
+.fa-angles-down::before {
+  content: "\f103"; }
+
+.fa-angle-double-down::before {
+  content: "\f103"; }
+
+.fa-users-rectangle::before {
+  content: "\e594"; }
+
+.fa-people-roof::before {
+  content: "\e537"; }
+
+.fa-people-line::before {
+  content: "\e534"; }
+
+.fa-beer-mug-empty::before {
+  content: "\f0fc"; }
+
+.fa-beer::before {
+  content: "\f0fc"; }
+
+.fa-diagram-predecessor::before {
+  content: "\e477"; }
+
+.fa-arrow-up-long::before {
+  content: "\f176"; }
+
+.fa-long-arrow-up::before {
+  content: "\f176"; }
+
+.fa-fire-flame-simple::before {
+  content: "\f46a"; }
+
+.fa-burn::before {
+  content: "\f46a"; }
+
+.fa-person::before {
+  content: "\f183"; }
+
+.fa-male::before {
+  content: "\f183"; }
+
+.fa-laptop::before {
+  content: "\f109"; }
+
+.fa-file-csv::before {
+  content: "\f6dd"; }
+
+.fa-menorah::before {
+  content: "\f676"; }
+
+.fa-truck-plane::before {
+  content: "\e58f"; }
+
+.fa-record-vinyl::before {
+  content: "\f8d9"; }
+
+.fa-face-grin-stars::before {
+  content: "\f587"; }
+
+.fa-grin-stars::before {
+  content: "\f587"; }
+
+.fa-bong::before {
+  content: "\f55c"; }
+
+.fa-spaghetti-monster-flying::before {
+  content: "\f67b"; }
+
+.fa-pastafarianism::before {
+  content: "\f67b"; }
+
+.fa-arrow-down-up-across-line::before {
+  content: "\e4af"; }
+
+.fa-spoon::before {
+  content: "\f2e5"; }
+
+.fa-utensil-spoon::before {
+  content: "\f2e5"; }
+
+.fa-jar-wheat::before {
+  content: "\e517"; }
+
+.fa-envelopes-bulk::before {
+  content: "\f674"; }
+
+.fa-mail-bulk::before {
+  content: "\f674"; }
+
+.fa-file-circle-exclamation::before {
+  content: "\e4eb"; }
+
+.fa-circle-h::before {
+  content: "\f47e"; }
+
+.fa-hospital-symbol::before {
+  content: "\f47e"; }
+
+.fa-pager::before {
+  content: "\f815"; }
+
+.fa-address-book::before {
+  content: "\f2b9"; }
+
+.fa-contact-book::before {
+  content: "\f2b9"; }
+
+.fa-strikethrough::before {
+  content: "\f0cc"; }
+
+.fa-k::before {
+  content: "\4b"; }
+
+.fa-landmark-flag::before {
+  content: "\e51c"; }
+
+.fa-pencil::before {
+  content: "\f303"; }
+
+.fa-pencil-alt::before {
+  content: "\f303"; }
+
+.fa-backward::before {
+  content: "\f04a"; }
+
+.fa-caret-right::before {
+  content: "\f0da"; }
+
+.fa-comments::before {
+  content: "\f086"; }
+
+.fa-paste::before {
+  content: "\f0ea"; }
+
+.fa-file-clipboard::before {
+  content: "\f0ea"; }
+
+.fa-code-pull-request::before {
+  content: "\e13c"; }
+
+.fa-clipboard-list::before {
+  content: "\f46d"; }
+
+.fa-truck-ramp-box::before {
+  content: "\f4de"; }
+
+.fa-truck-loading::before {
+  content: "\f4de"; }
+
+.fa-user-check::before {
+  content: "\f4fc"; }
+
+.fa-vial-virus::before {
+  content: "\e597"; }
+
+.fa-sheet-plastic::before {
+  content: "\e571"; }
+
+.fa-blog::before {
+  content: "\f781"; }
+
+.fa-user-ninja::before {
+  content: "\f504"; }
+
+.fa-person-arrow-up-from-line::before {
+  content: "\e539"; }
+
+.fa-scroll-torah::before {
+  content: "\f6a0"; }
+
+.fa-torah::before {
+  content: "\f6a0"; }
+
+.fa-broom-ball::before {
+  content: "\f458"; }
+
+.fa-quidditch::before {
+  content: "\f458"; }
+
+.fa-quidditch-broom-ball::before {
+  content: "\f458"; }
+
+.fa-toggle-off::before {
+  content: "\f204"; }
+
+.fa-box-archive::before {
+  content: "\f187"; }
+
+.fa-archive::before {
+  content: "\f187"; }
+
+.fa-person-drowning::before {
+  content: "\e545"; }
+
+.fa-arrow-down-9-1::before {
+  content: "\f886"; }
+
+.fa-sort-numeric-desc::before {
+  content: "\f886"; }
+
+.fa-sort-numeric-down-alt::before {
+  content: "\f886"; }
+
+.fa-face-grin-tongue-squint::before {
+  content: "\f58a"; }
+
+.fa-grin-tongue-squint::before {
+  content: "\f58a"; }
+
+.fa-spray-can::before {
+  content: "\f5bd"; }
+
+.fa-truck-monster::before {
+  content: "\f63b"; }
+
+.fa-w::before {
+  content: "\57"; }
+
+.fa-earth-africa::before {
+  content: "\f57c"; }
+
+.fa-globe-africa::before {
+  content: "\f57c"; }
+
+.fa-rainbow::before {
+  content: "\f75b"; }
+
+.fa-circle-notch::before {
+  content: "\f1ce"; }
+
+.fa-tablet-screen-button::before {
+  content: "\f3fa"; }
+
+.fa-tablet-alt::before {
+  content: "\f3fa"; }
+
+.fa-paw::before {
+  content: "\f1b0"; }
+
+.fa-cloud::before {
+  content: "\f0c2"; }
+
+.fa-trowel-bricks::before {
+  content: "\e58a"; }
+
+.fa-face-flushed::before {
+  content: "\f579"; }
+
+.fa-flushed::before {
+  content: "\f579"; }
+
+.fa-hospital-user::before {
+  content: "\f80d"; }
+
+.fa-tent-arrow-left-right::before {
+  content: "\e57f"; }
+
+.fa-gavel::before {
+  content: "\f0e3"; }
+
+.fa-legal::before {
+  content: "\f0e3"; }
+
+.fa-binoculars::before {
+  content: "\f1e5"; }
+
+.fa-microphone-slash::before {
+  content: "\f131"; }
+
+.fa-box-tissue::before {
+  content: "\e05b"; }
+
+.fa-motorcycle::before {
+  content: "\f21c"; }
+
+.fa-bell-concierge::before {
+  content: "\f562"; }
+
+.fa-concierge-bell::before {
+  content: "\f562"; }
+
+.fa-pen-ruler::before {
+  content: "\f5ae"; }
+
+.fa-pencil-ruler::before {
+  content: "\f5ae"; }
+
+.fa-people-arrows::before {
+  content: "\e068"; }
+
+.fa-people-arrows-left-right::before {
+  content: "\e068"; }
+
+.fa-mars-and-venus-burst::before {
+  content: "\e523"; }
+
+.fa-square-caret-right::before {
+  content: "\f152"; }
+
+.fa-caret-square-right::before {
+  content: "\f152"; }
+
+.fa-scissors::before {
+  content: "\f0c4"; }
+
+.fa-cut::before {
+  content: "\f0c4"; }
+
+.fa-sun-plant-wilt::before {
+  content: "\e57a"; }
+
+.fa-toilets-portable::before {
+  content: "\e584"; }
+
+.fa-hockey-puck::before {
+  content: "\f453"; }
+
+.fa-table::before {
+  content: "\f0ce"; }
+
+.fa-magnifying-glass-arrow-right::before {
+  content: "\e521"; }
+
+.fa-tachograph-digital::before {
+  content: "\f566"; }
+
+.fa-digital-tachograph::before {
+  content: "\f566"; }
+
+.fa-users-slash::before {
+  content: "\e073"; }
+
+.fa-clover::before {
+  content: "\e139"; }
+
+.fa-reply::before {
+  content: "\f3e5"; }
+
+.fa-mail-reply::before {
+  content: "\f3e5"; }
+
+.fa-star-and-crescent::before {
+  content: "\f699"; }
+
+.fa-house-fire::before {
+  content: "\e50c"; }
+
+.fa-square-minus::before {
+  content: "\f146"; }
+
+.fa-minus-square::before {
+  content: "\f146"; }
+
+.fa-helicopter::before {
+  content: "\f533"; }
+
+.fa-compass::before {
+  content: "\f14e"; }
+
+.fa-square-caret-down::before {
+  content: "\f150"; }
+
+.fa-caret-square-down::before {
+  content: "\f150"; }
+
+.fa-file-circle-question::before {
+  content: "\e4ef"; }
+
+.fa-laptop-code::before {
+  content: "\f5fc"; }
+
+.fa-swatchbook::before {
+  content: "\f5c3"; }
+
+.fa-prescription-bottle::before {
+  content: "\f485"; }
+
+.fa-bars::before {
+  content: "\f0c9"; }
+
+.fa-navicon::before {
+  content: "\f0c9"; }
+
+.fa-people-group::before {
+  content: "\e533"; }
+
+.fa-hourglass-end::before {
+  content: "\f253"; }
+
+.fa-hourglass-3::before {
+  content: "\f253"; }
+
+.fa-heart-crack::before {
+  content: "\f7a9"; }
+
+.fa-heart-broken::before {
+  content: "\f7a9"; }
+
+.fa-square-up-right::before {
+  content: "\f360"; }
+
+.fa-external-link-square-alt::before {
+  content: "\f360"; }
+
+.fa-face-kiss-beam::before {
+  content: "\f597"; }
+
+.fa-kiss-beam::before {
+  content: "\f597"; }
+
+.fa-film::before {
+  content: "\f008"; }
+
+.fa-ruler-horizontal::before {
+  content: "\f547"; }
+
+.fa-people-robbery::before {
+  content: "\e536"; }
+
+.fa-lightbulb::before {
+  content: "\f0eb"; }
+
+.fa-caret-left::before {
+  content: "\f0d9"; }
+
+.fa-circle-exclamation::before {
+  content: "\f06a"; }
+
+.fa-exclamation-circle::before {
+  content: "\f06a"; }
+
+.fa-school-circle-xmark::before {
+  content: "\e56d"; }
+
+.fa-arrow-right-from-bracket::before {
+  content: "\f08b"; }
+
+.fa-sign-out::before {
+  content: "\f08b"; }
+
+.fa-circle-chevron-down::before {
+  content: "\f13a"; }
+
+.fa-chevron-circle-down::before {
+  content: "\f13a"; }
+
+.fa-unlock-keyhole::before {
+  content: "\f13e"; }
+
+.fa-unlock-alt::before {
+  content: "\f13e"; }
+
+.fa-cloud-showers-heavy::before {
+  content: "\f740"; }
+
+.fa-headphones-simple::before {
+  content: "\f58f"; }
+
+.fa-headphones-alt::before {
+  content: "\f58f"; }
+
+.fa-sitemap::before {
+  content: "\f0e8"; }
+
+.fa-circle-dollar-to-slot::before {
+  content: "\f4b9"; }
+
+.fa-donate::before {
+  content: "\f4b9"; }
+
+.fa-memory::before {
+  content: "\f538"; }
+
+.fa-road-spikes::before {
+  content: "\e568"; }
+
+.fa-fire-burner::before {
+  content: "\e4f1"; }
+
+.fa-flag::before {
+  content: "\f024"; }
+
+.fa-hanukiah::before {
+  content: "\f6e6"; }
+
+.fa-feather::before {
+  content: "\f52d"; }
+
+.fa-volume-low::before {
+  content: "\f027"; }
+
+.fa-volume-down::before {
+  content: "\f027"; }
+
+.fa-comment-slash::before {
+  content: "\f4b3"; }
+
+.fa-cloud-sun-rain::before {
+  content: "\f743"; }
+
+.fa-compress::before {
+  content: "\f066"; }
+
+.fa-wheat-awn::before {
+  content: "\e2cd"; }
+
+.fa-wheat-alt::before {
+  content: "\e2cd"; }
+
+.fa-ankh::before {
+  content: "\f644"; }
+
+.fa-hands-holding-child::before {
+  content: "\e4fa"; }
+
+.fa-asterisk::before {
+  content: "\2a"; }
+
+.fa-square-check::before {
+  content: "\f14a"; }
+
+.fa-check-square::before {
+  content: "\f14a"; }
+
+.fa-peseta-sign::before {
+  content: "\e221"; }
+
+.fa-heading::before {
+  content: "\f1dc"; }
+
+.fa-header::before {
+  content: "\f1dc"; }
+
+.fa-ghost::before {
+  content: "\f6e2"; }
+
+.fa-list::before {
+  content: "\f03a"; }
+
+.fa-list-squares::before {
+  content: "\f03a"; }
+
+.fa-square-phone-flip::before {
+  content: "\f87b"; }
+
+.fa-phone-square-alt::before {
+  content: "\f87b"; }
+
+.fa-cart-plus::before {
+  content: "\f217"; }
+
+.fa-gamepad::before {
+  content: "\f11b"; }
+
+.fa-circle-dot::before {
+  content: "\f192"; }
+
+.fa-dot-circle::before {
+  content: "\f192"; }
+
+.fa-face-dizzy::before {
+  content: "\f567"; }
+
+.fa-dizzy::before {
+  content: "\f567"; }
+
+.fa-egg::before {
+  content: "\f7fb"; }
+
+.fa-house-medical-circle-xmark::before {
+  content: "\e513"; }
+
+.fa-campground::before {
+  content: "\f6bb"; }
+
+.fa-folder-plus::before {
+  content: "\f65e"; }
+
+.fa-futbol::before {
+  content: "\f1e3"; }
+
+.fa-futbol-ball::before {
+  content: "\f1e3"; }
+
+.fa-soccer-ball::before {
+  content: "\f1e3"; }
+
+.fa-paintbrush::before {
+  content: "\f1fc"; }
+
+.fa-paint-brush::before {
+  content: "\f1fc"; }
+
+.fa-lock::before {
+  content: "\f023"; }
+
+.fa-gas-pump::before {
+  content: "\f52f"; }
+
+.fa-hot-tub-person::before {
+  content: "\f593"; }
+
+.fa-hot-tub::before {
+  content: "\f593"; }
+
+.fa-map-location::before {
+  content: "\f59f"; }
+
+.fa-map-marked::before {
+  content: "\f59f"; }
+
+.fa-house-flood-water::before {
+  content: "\e50e"; }
+
+.fa-tree::before {
+  content: "\f1bb"; }
+
+.fa-bridge-lock::before {
+  content: "\e4cc"; }
+
+.fa-sack-dollar::before {
+  content: "\f81d"; }
+
+.fa-pen-to-square::before {
+  content: "\f044"; }
+
+.fa-edit::before {
+  content: "\f044"; }
+
+.fa-car-side::before {
+  content: "\f5e4"; }
+
+.fa-share-nodes::before {
+  content: "\f1e0"; }
+
+.fa-share-alt::before {
+  content: "\f1e0"; }
+
+.fa-heart-circle-minus::before {
+  content: "\e4ff"; }
+
+.fa-hourglass-half::before {
+  content: "\f252"; }
+
+.fa-hourglass-2::before {
+  content: "\f252"; }
+
+.fa-microscope::before {
+  content: "\f610"; }
+
+.fa-sink::before {
+  content: "\e06d"; }
+
+.fa-bag-shopping::before {
+  content: "\f290"; }
+
+.fa-shopping-bag::before {
+  content: "\f290"; }
+
+.fa-arrow-down-z-a::before {
+  content: "\f881"; }
+
+.fa-sort-alpha-desc::before {
+  content: "\f881"; }
+
+.fa-sort-alpha-down-alt::before {
+  content: "\f881"; }
+
+.fa-mitten::before {
+  content: "\f7b5"; }
+
+.fa-person-rays::before {
+  content: "\e54d"; }
+
+.fa-users::before {
+  content: "\f0c0"; }
+
+.fa-eye-slash::before {
+  content: "\f070"; }
+
+.fa-flask-vial::before {
+  content: "\e4f3"; }
+
+.fa-hand::before {
+  content: "\f256"; }
+
+.fa-hand-paper::before {
+  content: "\f256"; }
+
+.fa-om::before {
+  content: "\f679"; }
+
+.fa-worm::before {
+  content: "\e599"; }
+
+.fa-house-circle-xmark::before {
+  content: "\e50b"; }
+
+.fa-plug::before {
+  content: "\f1e6"; }
+
+.fa-chevron-up::before {
+  content: "\f077"; }
+
+.fa-hand-spock::before {
+  content: "\f259"; }
+
+.fa-stopwatch::before {
+  content: "\f2f2"; }
+
+.fa-face-kiss::before {
+  content: "\f596"; }
+
+.fa-kiss::before {
+  content: "\f596"; }
+
+.fa-bridge-circle-xmark::before {
+  content: "\e4cb"; }
+
+.fa-face-grin-tongue::before {
+  content: "\f589"; }
+
+.fa-grin-tongue::before {
+  content: "\f589"; }
+
+.fa-chess-bishop::before {
+  content: "\f43a"; }
+
+.fa-face-grin-wink::before {
+  content: "\f58c"; }
+
+.fa-grin-wink::before {
+  content: "\f58c"; }
+
+.fa-ear-deaf::before {
+  content: "\f2a4"; }
+
+.fa-deaf::before {
+  content: "\f2a4"; }
+
+.fa-deafness::before {
+  content: "\f2a4"; }
+
+.fa-hard-of-hearing::before {
+  content: "\f2a4"; }
+
+.fa-road-circle-check::before {
+  content: "\e564"; }
+
+.fa-dice-five::before {
+  content: "\f523"; }
+
+.fa-square-rss::before {
+  content: "\f143"; }
+
+.fa-rss-square::before {
+  content: "\f143"; }
+
+.fa-land-mine-on::before {
+  content: "\e51b"; }
+
+.fa-i-cursor::before {
+  content: "\f246"; }
+
+.fa-stamp::before {
+  content: "\f5bf"; }
+
+.fa-stairs::before {
+  content: "\e289"; }
+
+.fa-i::before {
+  content: "\49"; }
+
+.fa-hryvnia-sign::before {
+  content: "\f6f2"; }
+
+.fa-hryvnia::before {
+  content: "\f6f2"; }
+
+.fa-pills::before {
+  content: "\f484"; }
+
+.fa-face-grin-wide::before {
+  content: "\f581"; }
+
+.fa-grin-alt::before {
+  content: "\f581"; }
+
+.fa-tooth::before {
+  content: "\f5c9"; }
+
+.fa-v::before {
+  content: "\56"; }
+
+.fa-bangladeshi-taka-sign::before {
+  content: "\e2e6"; }
+
+.fa-bicycle::before {
+  content: "\f206"; }
+
+.fa-staff-snake::before {
+  content: "\e579"; }
+
+.fa-rod-asclepius::before {
+  content: "\e579"; }
+
+.fa-rod-snake::before {
+  content: "\e579"; }
+
+.fa-staff-aesculapius::before {
+  content: "\e579"; }
+
+.fa-head-side-cough-slash::before {
+  content: "\e062"; }
+
+.fa-truck-medical::before {
+  content: "\f0f9"; }
+
+.fa-ambulance::before {
+  content: "\f0f9"; }
+
+.fa-wheat-awn-circle-exclamation::before {
+  content: "\e598"; }
+
+.fa-snowman::before {
+  content: "\f7d0"; }
+
+.fa-mortar-pestle::before {
+  content: "\f5a7"; }
+
+.fa-road-barrier::before {
+  content: "\e562"; }
+
+.fa-school::before {
+  content: "\f549"; }
+
+.fa-igloo::before {
+  content: "\f7ae"; }
+
+.fa-joint::before {
+  content: "\f595"; }
+
+.fa-angle-right::before {
+  content: "\f105"; }
+
+.fa-horse::before {
+  content: "\f6f0"; }
+
+.fa-q::before {
+  content: "\51"; }
+
+.fa-g::before {
+  content: "\47"; }
+
+.fa-notes-medical::before {
+  content: "\f481"; }
+
+.fa-temperature-half::before {
+  content: "\f2c9"; }
+
+.fa-temperature-2::before {
+  content: "\f2c9"; }
+
+.fa-thermometer-2::before {
+  content: "\f2c9"; }
+
+.fa-thermometer-half::before {
+  content: "\f2c9"; }
+
+.fa-dong-sign::before {
+  content: "\e169"; }
+
+.fa-capsules::before {
+  content: "\f46b"; }
+
+.fa-poo-storm::before {
+  content: "\f75a"; }
+
+.fa-poo-bolt::before {
+  content: "\f75a"; }
+
+.fa-face-frown-open::before {
+  content: "\f57a"; }
+
+.fa-frown-open::before {
+  content: "\f57a"; }
+
+.fa-hand-point-up::before {
+  content: "\f0a6"; }
+
+.fa-money-bill::before {
+  content: "\f0d6"; }
+
+.fa-bookmark::before {
+  content: "\f02e"; }
+
+.fa-align-justify::before {
+  content: "\f039"; }
+
+.fa-umbrella-beach::before {
+  content: "\f5ca"; }
+
+.fa-helmet-un::before {
+  content: "\e503"; }
+
+.fa-bullseye::before {
+  content: "\f140"; }
+
+.fa-bacon::before {
+  content: "\f7e5"; }
+
+.fa-hand-point-down::before {
+  content: "\f0a7"; }
+
+.fa-arrow-up-from-bracket::before {
+  content: "\e09a"; }
+
+.fa-folder::before {
+  content: "\f07b"; }
+
+.fa-folder-blank::before {
+  content: "\f07b"; }
+
+.fa-file-waveform::before {
+  content: "\f478"; }
+
+.fa-file-medical-alt::before {
+  content: "\f478"; }
+
+.fa-radiation::before {
+  content: "\f7b9"; }
+
+.fa-chart-simple::before {
+  content: "\e473"; }
+
+.fa-mars-stroke::before {
+  content: "\f229"; }
+
+.fa-vial::before {
+  content: "\f492"; }
+
+.fa-gauge::before {
+  content: "\f624"; }
+
+.fa-dashboard::before {
+  content: "\f624"; }
+
+.fa-gauge-med::before {
+  content: "\f624"; }
+
+.fa-tachometer-alt-average::before {
+  content: "\f624"; }
+
+.fa-wand-magic-sparkles::before {
+  content: "\e2ca"; }
+
+.fa-magic-wand-sparkles::before {
+  content: "\e2ca"; }
+
+.fa-e::before {
+  content: "\45"; }
+
+.fa-pen-clip::before {
+  content: "\f305"; }
+
+.fa-pen-alt::before {
+  content: "\f305"; }
+
+.fa-bridge-circle-exclamation::before {
+  content: "\e4ca"; }
+
+.fa-user::before {
+  content: "\f007"; }
+
+.fa-school-circle-check::before {
+  content: "\e56b"; }
+
+.fa-dumpster::before {
+  content: "\f793"; }
+
+.fa-van-shuttle::before {
+  content: "\f5b6"; }
+
+.fa-shuttle-van::before {
+  content: "\f5b6"; }
+
+.fa-building-user::before {
+  content: "\e4da"; }
+
+.fa-square-caret-left::before {
+  content: "\f191"; }
+
+.fa-caret-square-left::before {
+  content: "\f191"; }
+
+.fa-highlighter::before {
+  content: "\f591"; }
+
+.fa-key::before {
+  content: "\f084"; }
+
+.fa-bullhorn::before {
+  content: "\f0a1"; }
+
+.fa-globe::before {
+  content: "\f0ac"; }
+
+.fa-synagogue::before {
+  content: "\f69b"; }
+
+.fa-person-half-dress::before {
+  content: "\e548"; }
+
+.fa-road-bridge::before {
+  content: "\e563"; }
+
+.fa-location-arrow::before {
+  content: "\f124"; }
+
+.fa-c::before {
+  content: "\43"; }
+
+.fa-tablet-button::before {
+  content: "\f10a"; }
+
+.fa-building-lock::before {
+  content: "\e4d6"; }
+
+.fa-pizza-slice::before {
+  content: "\f818"; }
+
+.fa-money-bill-wave::before {
+  content: "\f53a"; }
+
+.fa-chart-area::before {
+  content: "\f1fe"; }
+
+.fa-area-chart::before {
+  content: "\f1fe"; }
+
+.fa-house-flag::before {
+  content: "\e50d"; }
+
+.fa-person-circle-minus::before {
+  content: "\e540"; }
+
+.fa-ban::before {
+  content: "\f05e"; }
+
+.fa-cancel::before {
+  content: "\f05e"; }
+
+.fa-camera-rotate::before {
+  content: "\e0d8"; }
+
+.fa-spray-can-sparkles::before {
+  content: "\f5d0"; }
+
+.fa-air-freshener::before {
+  content: "\f5d0"; }
+
+.fa-star::before {
+  content: "\f005"; }
+
+.fa-repeat::before {
+  content: "\f363"; }
+
+.fa-cross::before {
+  content: "\f654"; }
+
+.fa-box::before {
+  content: "\f466"; }
+
+.fa-venus-mars::before {
+  content: "\f228"; }
+
+.fa-arrow-pointer::before {
+  content: "\f245"; }
+
+.fa-mouse-pointer::before {
+  content: "\f245"; }
+
+.fa-maximize::before {
+  content: "\f31e"; }
+
+.fa-expand-arrows-alt::before {
+  content: "\f31e"; }
+
+.fa-charging-station::before {
+  content: "\f5e7"; }
+
+.fa-shapes::before {
+  content: "\f61f"; }
+
+.fa-triangle-circle-square::before {
+  content: "\f61f"; }
+
+.fa-shuffle::before {
+  content: "\f074"; }
+
+.fa-random::before {
+  content: "\f074"; }
+
+.fa-person-running::before {
+  content: "\f70c"; }
+
+.fa-running::before {
+  content: "\f70c"; }
+
+.fa-mobile-retro::before {
+  content: "\e527"; }
+
+.fa-grip-lines-vertical::before {
+  content: "\f7a5"; }
+
+.fa-spider::before {
+  content: "\f717"; }
+
+.fa-hands-bound::before {
+  content: "\e4f9"; }
+
+.fa-file-invoice-dollar::before {
+  content: "\f571"; }
+
+.fa-plane-circle-exclamation::before {
+  content: "\e556"; }
+
+.fa-x-ray::before {
+  content: "\f497"; }
+
+.fa-spell-check::before {
+  content: "\f891"; }
+
+.fa-slash::before {
+  content: "\f715"; }
+
+.fa-computer-mouse::before {
+  content: "\f8cc"; }
+
+.fa-mouse::before {
+  content: "\f8cc"; }
+
+.fa-arrow-right-to-bracket::before {
+  content: "\f090"; }
+
+.fa-sign-in::before {
+  content: "\f090"; }
+
+.fa-shop-slash::before {
+  content: "\e070"; }
+
+.fa-store-alt-slash::before {
+  content: "\e070"; }
+
+.fa-server::before {
+  content: "\f233"; }
+
+.fa-virus-covid-slash::before {
+  content: "\e4a9"; }
+
+.fa-shop-lock::before {
+  content: "\e4a5"; }
+
+.fa-hourglass-start::before {
+  content: "\f251"; }
+
+.fa-hourglass-1::before {
+  content: "\f251"; }
+
+.fa-blender-phone::before {
+  content: "\f6b6"; }
+
+.fa-building-wheat::before {
+  content: "\e4db"; }
+
+.fa-person-breastfeeding::before {
+  content: "\e53a"; }
+
+.fa-right-to-bracket::before {
+  content: "\f2f6"; }
+
+.fa-sign-in-alt::before {
+  content: "\f2f6"; }
+
+.fa-venus::before {
+  content: "\f221"; }
+
+.fa-passport::before {
+  content: "\f5ab"; }
+
+.fa-heart-pulse::before {
+  content: "\f21e"; }
+
+.fa-heartbeat::before {
+  content: "\f21e"; }
+
+.fa-people-carry-box::before {
+  content: "\f4ce"; }
+
+.fa-people-carry::before {
+  content: "\f4ce"; }
+
+.fa-temperature-high::before {
+  content: "\f769"; }
+
+.fa-microchip::before {
+  content: "\f2db"; }
+
+.fa-crown::before {
+  content: "\f521"; }
+
+.fa-weight-hanging::before {
+  content: "\f5cd"; }
+
+.fa-xmarks-lines::before {
+  content: "\e59a"; }
+
+.fa-file-prescription::before {
+  content: "\f572"; }
+
+.fa-weight-scale::before {
+  content: "\f496"; }
+
+.fa-weight::before {
+  content: "\f496"; }
+
+.fa-user-group::before {
+  content: "\f500"; }
+
+.fa-user-friends::before {
+  content: "\f500"; }
+
+.fa-arrow-up-a-z::before {
+  content: "\f15e"; }
+
+.fa-sort-alpha-up::before {
+  content: "\f15e"; }
+
+.fa-chess-knight::before {
+  content: "\f441"; }
+
+.fa-face-laugh-squint::before {
+  content: "\f59b"; }
+
+.fa-laugh-squint::before {
+  content: "\f59b"; }
+
+.fa-wheelchair::before {
+  content: "\f193"; }
+
+.fa-circle-arrow-up::before {
+  content: "\f0aa"; }
+
+.fa-arrow-circle-up::before {
+  content: "\f0aa"; }
+
+.fa-toggle-on::before {
+  content: "\f205"; }
+
+.fa-person-walking::before {
+  content: "\f554"; }
+
+.fa-walking::before {
+  content: "\f554"; }
+
+.fa-l::before {
+  content: "\4c"; }
+
+.fa-fire::before {
+  content: "\f06d"; }
+
+.fa-bed-pulse::before {
+  content: "\f487"; }
+
+.fa-procedures::before {
+  content: "\f487"; }
+
+.fa-shuttle-space::before {
+  content: "\f197"; }
+
+.fa-space-shuttle::before {
+  content: "\f197"; }
+
+.fa-face-laugh::before {
+  content: "\f599"; }
+
+.fa-laugh::before {
+  content: "\f599"; }
+
+.fa-folder-open::before {
+  content: "\f07c"; }
+
+.fa-heart-circle-plus::before {
+  content: "\e500"; }
+
+.fa-code-fork::before {
+  content: "\e13b"; }
+
+.fa-city::before {
+  content: "\f64f"; }
+
+.fa-microphone-lines::before {
+  content: "\f3c9"; }
+
+.fa-microphone-alt::before {
+  content: "\f3c9"; }
+
+.fa-pepper-hot::before {
+  content: "\f816"; }
+
+.fa-unlock::before {
+  content: "\f09c"; }
+
+.fa-colon-sign::before {
+  content: "\e140"; }
+
+.fa-headset::before {
+  content: "\f590"; }
+
+.fa-store-slash::before {
+  content: "\e071"; }
+
+.fa-road-circle-xmark::before {
+  content: "\e566"; }
+
+.fa-user-minus::before {
+  content: "\f503"; }
+
+.fa-mars-stroke-up::before {
+  content: "\f22a"; }
+
+.fa-mars-stroke-v::before {
+  content: "\f22a"; }
+
+.fa-champagne-glasses::before {
+  content: "\f79f"; }
+
+.fa-glass-cheers::before {
+  content: "\f79f"; }
+
+.fa-clipboard::before {
+  content: "\f328"; }
+
+.fa-house-circle-exclamation::before {
+  content: "\e50a"; }
+
+.fa-file-arrow-up::before {
+  content: "\f574"; }
+
+.fa-file-upload::before {
+  content: "\f574"; }
+
+.fa-wifi::before {
+  content: "\f1eb"; }
+
+.fa-wifi-3::before {
+  content: "\f1eb"; }
+
+.fa-wifi-strong::before {
+  content: "\f1eb"; }
+
+.fa-bath::before {
+  content: "\f2cd"; }
+
+.fa-bathtub::before {
+  content: "\f2cd"; }
+
+.fa-underline::before {
+  content: "\f0cd"; }
+
+.fa-user-pen::before {
+  content: "\f4ff"; }
+
+.fa-user-edit::before {
+  content: "\f4ff"; }
+
+.fa-signature::before {
+  content: "\f5b7"; }
+
+.fa-stroopwafel::before {
+  content: "\f551"; }
+
+.fa-bold::before {
+  content: "\f032"; }
+
+.fa-anchor-lock::before {
+  content: "\e4ad"; }
+
+.fa-building-ngo::before {
+  content: "\e4d7"; }
+
+.fa-manat-sign::before {
+  content: "\e1d5"; }
+
+.fa-not-equal::before {
+  content: "\f53e"; }
+
+.fa-border-top-left::before {
+  content: "\f853"; }
+
+.fa-border-style::before {
+  content: "\f853"; }
+
+.fa-map-location-dot::before {
+  content: "\f5a0"; }
+
+.fa-map-marked-alt::before {
+  content: "\f5a0"; }
+
+.fa-jedi::before {
+  content: "\f669"; }
+
+.fa-square-poll-vertical::before {
+  content: "\f681"; }
+
+.fa-poll::before {
+  content: "\f681"; }
+
+.fa-mug-hot::before {
+  content: "\f7b6"; }
+
+.fa-car-battery::before {
+  content: "\f5df"; }
+
+.fa-battery-car::before {
+  content: "\f5df"; }
+
+.fa-gift::before {
+  content: "\f06b"; }
+
+.fa-dice-two::before {
+  content: "\f528"; }
+
+.fa-chess-queen::before {
+  content: "\f445"; }
+
+.fa-glasses::before {
+  content: "\f530"; }
+
+.fa-chess-board::before {
+  content: "\f43c"; }
+
+.fa-building-circle-check::before {
+  content: "\e4d2"; }
+
+.fa-person-chalkboard::before {
+  content: "\e53d"; }
+
+.fa-mars-stroke-right::before {
+  content: "\f22b"; }
+
+.fa-mars-stroke-h::before {
+  content: "\f22b"; }
+
+.fa-hand-back-fist::before {
+  content: "\f255"; }
+
+.fa-hand-rock::before {
+  content: "\f255"; }
+
+.fa-square-caret-up::before {
+  content: "\f151"; }
+
+.fa-caret-square-up::before {
+  content: "\f151"; }
+
+.fa-cloud-showers-water::before {
+  content: "\e4e4"; }
+
+.fa-chart-bar::before {
+  content: "\f080"; }
+
+.fa-bar-chart::before {
+  content: "\f080"; }
+
+.fa-hands-bubbles::before {
+  content: "\e05e"; }
+
+.fa-hands-wash::before {
+  content: "\e05e"; }
+
+.fa-less-than-equal::before {
+  content: "\f537"; }
+
+.fa-train::before {
+  content: "\f238"; }
+
+.fa-eye-low-vision::before {
+  content: "\f2a8"; }
+
+.fa-low-vision::before {
+  content: "\f2a8"; }
+
+.fa-crow::before {
+  content: "\f520"; }
+
+.fa-sailboat::before {
+  content: "\e445"; }
+
+.fa-window-restore::before {
+  content: "\f2d2"; }
+
+.fa-square-plus::before {
+  content: "\f0fe"; }
+
+.fa-plus-square::before {
+  content: "\f0fe"; }
+
+.fa-torii-gate::before {
+  content: "\f6a1"; }
+
+.fa-frog::before {
+  content: "\f52e"; }
+
+.fa-bucket::before {
+  content: "\e4cf"; }
+
+.fa-image::before {
+  content: "\f03e"; }
+
+.fa-microphone::before {
+  content: "\f130"; }
+
+.fa-cow::before {
+  content: "\f6c8"; }
+
+.fa-caret-up::before {
+  content: "\f0d8"; }
+
+.fa-screwdriver::before {
+  content: "\f54a"; }
+
+.fa-folder-closed::before {
+  content: "\e185"; }
+
+.fa-house-tsunami::before {
+  content: "\e515"; }
+
+.fa-square-nfi::before {
+  content: "\e576"; }
+
+.fa-arrow-up-from-ground-water::before {
+  content: "\e4b5"; }
+
+.fa-martini-glass::before {
+  content: "\f57b"; }
+
+.fa-glass-martini-alt::before {
+  content: "\f57b"; }
+
+.fa-rotate-left::before {
+  content: "\f2ea"; }
+
+.fa-rotate-back::before {
+  content: "\f2ea"; }
+
+.fa-rotate-backward::before {
+  content: "\f2ea"; }
+
+.fa-undo-alt::before {
+  content: "\f2ea"; }
+
+.fa-table-columns::before {
+  content: "\f0db"; }
+
+.fa-columns::before {
+  content: "\f0db"; }
+
+.fa-lemon::before {
+  content: "\f094"; }
+
+.fa-head-side-mask::before {
+  content: "\e063"; }
+
+.fa-handshake::before {
+  content: "\f2b5"; }
+
+.fa-gem::before {
+  content: "\f3a5"; }
+
+.fa-dolly::before {
+  content: "\f472"; }
+
+.fa-dolly-box::before {
+  content: "\f472"; }
+
+.fa-smoking::before {
+  content: "\f48d"; }
+
+.fa-minimize::before {
+  content: "\f78c"; }
+
+.fa-compress-arrows-alt::before {
+  content: "\f78c"; }
+
+.fa-monument::before {
+  content: "\f5a6"; }
+
+.fa-snowplow::before {
+  content: "\f7d2"; }
+
+.fa-angles-right::before {
+  content: "\f101"; }
+
+.fa-angle-double-right::before {
+  content: "\f101"; }
+
+.fa-cannabis::before {
+  content: "\f55f"; }
+
+.fa-circle-play::before {
+  content: "\f144"; }
+
+.fa-play-circle::before {
+  content: "\f144"; }
+
+.fa-tablets::before {
+  content: "\f490"; }
+
+.fa-ethernet::before {
+  content: "\f796"; }
+
+.fa-euro-sign::before {
+  content: "\f153"; }
+
+.fa-eur::before {
+  content: "\f153"; }
+
+.fa-euro::before {
+  content: "\f153"; }
+
+.fa-chair::before {
+  content: "\f6c0"; }
+
+.fa-circle-check::before {
+  content: "\f058"; }
+
+.fa-check-circle::before {
+  content: "\f058"; }
+
+.fa-circle-stop::before {
+  content: "\f28d"; }
+
+.fa-stop-circle::before {
+  content: "\f28d"; }
+
+.fa-compass-drafting::before {
+  content: "\f568"; }
+
+.fa-drafting-compass::before {
+  content: "\f568"; }
+
+.fa-plate-wheat::before {
+  content: "\e55a"; }
+
+.fa-icicles::before {
+  content: "\f7ad"; }
+
+.fa-person-shelter::before {
+  content: "\e54f"; }
+
+.fa-neuter::before {
+  content: "\f22c"; }
+
+.fa-id-badge::before {
+  content: "\f2c1"; }
+
+.fa-marker::before {
+  content: "\f5a1"; }
+
+.fa-face-laugh-beam::before {
+  content: "\f59a"; }
+
+.fa-laugh-beam::before {
+  content: "\f59a"; }
+
+.fa-helicopter-symbol::before {
+  content: "\e502"; }
+
+.fa-universal-access::before {
+  content: "\f29a"; }
+
+.fa-circle-chevron-up::before {
+  content: "\f139"; }
+
+.fa-chevron-circle-up::before {
+  content: "\f139"; }
+
+.fa-lari-sign::before {
+  content: "\e1c8"; }
+
+.fa-volcano::before {
+  content: "\f770"; }
+
+.fa-person-walking-dashed-line-arrow-right::before {
+  content: "\e553"; }
+
+.fa-sterling-sign::before {
+  content: "\f154"; }
+
+.fa-gbp::before {
+  content: "\f154"; }
+
+.fa-pound-sign::before {
+  content: "\f154"; }
+
+.fa-viruses::before {
+  content: "\e076"; }
+
+.fa-square-person-confined::before {
+  content: "\e577"; }
+
+.fa-user-tie::before {
+  content: "\f508"; }
+
+.fa-arrow-down-long::before {
+  content: "\f175"; }
+
+.fa-long-arrow-down::before {
+  content: "\f175"; }
+
+.fa-tent-arrow-down-to-line::before {
+  content: "\e57e"; }
+
+.fa-certificate::before {
+  content: "\f0a3"; }
+
+.fa-reply-all::before {
+  content: "\f122"; }
+
+.fa-mail-reply-all::before {
+  content: "\f122"; }
+
+.fa-suitcase::before {
+  content: "\f0f2"; }
+
+.fa-person-skating::before {
+  content: "\f7c5"; }
+
+.fa-skating::before {
+  content: "\f7c5"; }
+
+.fa-filter-circle-dollar::before {
+  content: "\f662"; }
+
+.fa-funnel-dollar::before {
+  content: "\f662"; }
+
+.fa-camera-retro::before {
+  content: "\f083"; }
+
+.fa-circle-arrow-down::before {
+  content: "\f0ab"; }
+
+.fa-arrow-circle-down::before {
+  content: "\f0ab"; }
+
+.fa-file-import::before {
+  content: "\f56f"; }
+
+.fa-arrow-right-to-file::before {
+  content: "\f56f"; }
+
+.fa-square-arrow-up-right::before {
+  content: "\f14c"; }
+
+.fa-external-link-square::before {
+  content: "\f14c"; }
+
+.fa-box-open::before {
+  content: "\f49e"; }
+
+.fa-scroll::before {
+  content: "\f70e"; }
+
+.fa-spa::before {
+  content: "\f5bb"; }
+
+.fa-location-pin-lock::before {
+  content: "\e51f"; }
+
+.fa-pause::before {
+  content: "\f04c"; }
+
+.fa-hill-avalanche::before {
+  content: "\e507"; }
+
+.fa-temperature-empty::before {
+  content: "\f2cb"; }
+
+.fa-temperature-0::before {
+  content: "\f2cb"; }
+
+.fa-thermometer-0::before {
+  content: "\f2cb"; }
+
+.fa-thermometer-empty::before {
+  content: "\f2cb"; }
+
+.fa-bomb::before {
+  content: "\f1e2"; }
+
+.fa-registered::before {
+  content: "\f25d"; }
+
+.fa-address-card::before {
+  content: "\f2bb"; }
+
+.fa-contact-card::before {
+  content: "\f2bb"; }
+
+.fa-vcard::before {
+  content: "\f2bb"; }
+
+.fa-scale-unbalanced-flip::before {
+  content: "\f516"; }
+
+.fa-balance-scale-right::before {
+  content: "\f516"; }
+
+.fa-subscript::before {
+  content: "\f12c"; }
+
+.fa-diamond-turn-right::before {
+  content: "\f5eb"; }
+
+.fa-directions::before {
+  content: "\f5eb"; }
+
+.fa-burst::before {
+  content: "\e4dc"; }
+
+.fa-house-laptop::before {
+  content: "\e066"; }
+
+.fa-laptop-house::before {
+  content: "\e066"; }
+
+.fa-face-tired::before {
+  content: "\f5c8"; }
+
+.fa-tired::before {
+  content: "\f5c8"; }
+
+.fa-money-bills::before {
+  content: "\e1f3"; }
+
+.fa-smog::before {
+  content: "\f75f"; }
+
+.fa-crutch::before {
+  content: "\f7f7"; }
+
+.fa-cloud-arrow-up::before {
+  content: "\f0ee"; }
+
+.fa-cloud-upload::before {
+  content: "\f0ee"; }
+
+.fa-cloud-upload-alt::before {
+  content: "\f0ee"; }
+
+.fa-palette::before {
+  content: "\f53f"; }
+
+.fa-arrows-turn-right::before {
+  content: "\e4c0"; }
+
+.fa-vest::before {
+  content: "\e085"; }
+
+.fa-ferry::before {
+  content: "\e4ea"; }
+
+.fa-arrows-down-to-people::before {
+  content: "\e4b9"; }
+
+.fa-seedling::before {
+  content: "\f4d8"; }
+
+.fa-sprout::before {
+  content: "\f4d8"; }
+
+.fa-left-right::before {
+  content: "\f337"; }
+
+.fa-arrows-alt-h::before {
+  content: "\f337"; }
+
+.fa-boxes-packing::before {
+  content: "\e4c7"; }
+
+.fa-circle-arrow-left::before {
+  content: "\f0a8"; }
+
+.fa-arrow-circle-left::before {
+  content: "\f0a8"; }
+
+.fa-group-arrows-rotate::before {
+  content: "\e4f6"; }
+
+.fa-bowl-food::before {
+  content: "\e4c6"; }
+
+.fa-candy-cane::before {
+  content: "\f786"; }
+
+.fa-arrow-down-wide-short::before {
+  content: "\f160"; }
+
+.fa-sort-amount-asc::before {
+  content: "\f160"; }
+
+.fa-sort-amount-down::before {
+  content: "\f160"; }
+
+.fa-cloud-bolt::before {
+  content: "\f76c"; }
+
+.fa-thunderstorm::before {
+  content: "\f76c"; }
+
+.fa-text-slash::before {
+  content: "\f87d"; }
+
+.fa-remove-format::before {
+  content: "\f87d"; }
+
+.fa-face-smile-wink::before {
+  content: "\f4da"; }
+
+.fa-smile-wink::before {
+  content: "\f4da"; }
+
+.fa-file-word::before {
+  content: "\f1c2"; }
+
+.fa-file-powerpoint::before {
+  content: "\f1c4"; }
+
+.fa-arrows-left-right::before {
+  content: "\f07e"; }
+
+.fa-arrows-h::before {
+  content: "\f07e"; }
+
+.fa-house-lock::before {
+  content: "\e510"; }
+
+.fa-cloud-arrow-down::before {
+  content: "\f0ed"; }
+
+.fa-cloud-download::before {
+  content: "\f0ed"; }
+
+.fa-cloud-download-alt::before {
+  content: "\f0ed"; }
+
+.fa-children::before {
+  content: "\e4e1"; }
+
+.fa-chalkboard::before {
+  content: "\f51b"; }
+
+.fa-blackboard::before {
+  content: "\f51b"; }
+
+.fa-user-large-slash::before {
+  content: "\f4fa"; }
+
+.fa-user-alt-slash::before {
+  content: "\f4fa"; }
+
+.fa-envelope-open::before {
+  content: "\f2b6"; }
+
+.fa-handshake-simple-slash::before {
+  content: "\e05f"; }
+
+.fa-handshake-alt-slash::before {
+  content: "\e05f"; }
+
+.fa-mattress-pillow::before {
+  content: "\e525"; }
+
+.fa-guarani-sign::before {
+  content: "\e19a"; }
+
+.fa-arrows-rotate::before {
+  content: "\f021"; }
+
+.fa-refresh::before {
+  content: "\f021"; }
+
+.fa-sync::before {
+  content: "\f021"; }
+
+.fa-fire-extinguisher::before {
+  content: "\f134"; }
+
+.fa-cruzeiro-sign::before {
+  content: "\e152"; }
+
+.fa-greater-than-equal::before {
+  content: "\f532"; }
+
+.fa-shield-halved::before {
+  content: "\f3ed"; }
+
+.fa-shield-alt::before {
+  content: "\f3ed"; }
+
+.fa-book-atlas::before {
+  content: "\f558"; }
+
+.fa-atlas::before {
+  content: "\f558"; }
+
+.fa-virus::before {
+  content: "\e074"; }
+
+.fa-envelope-circle-check::before {
+  content: "\e4e8"; }
+
+.fa-layer-group::before {
+  content: "\f5fd"; }
+
+.fa-arrows-to-dot::before {
+  content: "\e4be"; }
+
+.fa-archway::before {
+  content: "\f557"; }
+
+.fa-heart-circle-check::before {
+  content: "\e4fd"; }
+
+.fa-house-chimney-crack::before {
+  content: "\f6f1"; }
+
+.fa-house-damage::before {
+  content: "\f6f1"; }
+
+.fa-file-zipper::before {
+  content: "\f1c6"; }
+
+.fa-file-archive::before {
+  content: "\f1c6"; }
+
+.fa-square::before {
+  content: "\f0c8"; }
+
+.fa-martini-glass-empty::before {
+  content: "\f000"; }
+
+.fa-glass-martini::before {
+  content: "\f000"; }
+
+.fa-couch::before {
+  content: "\f4b8"; }
+
+.fa-cedi-sign::before {
+  content: "\e0df"; }
+
+.fa-italic::before {
+  content: "\f033"; }
+
+.fa-church::before {
+  content: "\f51d"; }
+
+.fa-comments-dollar::before {
+  content: "\f653"; }
+
+.fa-democrat::before {
+  content: "\f747"; }
+
+.fa-z::before {
+  content: "\5a"; }
+
+.fa-person-skiing::before {
+  content: "\f7c9"; }
+
+.fa-skiing::before {
+  content: "\f7c9"; }
+
+.fa-road-lock::before {
+  content: "\e567"; }
+
+.fa-a::before {
+  content: "\41"; }
+
+.fa-temperature-arrow-down::before {
+  content: "\e03f"; }
+
+.fa-temperature-down::before {
+  content: "\e03f"; }
+
+.fa-feather-pointed::before {
+  content: "\f56b"; }
+
+.fa-feather-alt::before {
+  content: "\f56b"; }
+
+.fa-p::before {
+  content: "\50"; }
+
+.fa-snowflake::before {
+  content: "\f2dc"; }
+
+.fa-newspaper::before {
+  content: "\f1ea"; }
+
+.fa-rectangle-ad::before {
+  content: "\f641"; }
+
+.fa-ad::before {
+  content: "\f641"; }
+
+.fa-circle-arrow-right::before {
+  content: "\f0a9"; }
+
+.fa-arrow-circle-right::before {
+  content: "\f0a9"; }
+
+.fa-filter-circle-xmark::before {
+  content: "\e17b"; }
+
+.fa-locust::before {
+  content: "\e520"; }
+
+.fa-sort::before {
+  content: "\f0dc"; }
+
+.fa-unsorted::before {
+  content: "\f0dc"; }
+
+.fa-list-ol::before {
+  content: "\f0cb"; }
+
+.fa-list-1-2::before {
+  content: "\f0cb"; }
+
+.fa-list-numeric::before {
+  content: "\f0cb"; }
+
+.fa-person-dress-burst::before {
+  content: "\e544"; }
+
+.fa-money-check-dollar::before {
+  content: "\f53d"; }
+
+.fa-money-check-alt::before {
+  content: "\f53d"; }
+
+.fa-vector-square::before {
+  content: "\f5cb"; }
+
+.fa-bread-slice::before {
+  content: "\f7ec"; }
+
+.fa-language::before {
+  content: "\f1ab"; }
+
+.fa-face-kiss-wink-heart::before {
+  content: "\f598"; }
+
+.fa-kiss-wink-heart::before {
+  content: "\f598"; }
+
+.fa-filter::before {
+  content: "\f0b0"; }
+
+.fa-question::before {
+  content: "\3f"; }
+
+.fa-file-signature::before {
+  content: "\f573"; }
+
+.fa-up-down-left-right::before {
+  content: "\f0b2"; }
+
+.fa-arrows-alt::before {
+  content: "\f0b2"; }
+
+.fa-house-chimney-user::before {
+  content: "\e065"; }
+
+.fa-hand-holding-heart::before {
+  content: "\f4be"; }
+
+.fa-puzzle-piece::before {
+  content: "\f12e"; }
+
+.fa-money-check::before {
+  content: "\f53c"; }
+
+.fa-star-half-stroke::before {
+  content: "\f5c0"; }
+
+.fa-star-half-alt::before {
+  content: "\f5c0"; }
+
+.fa-code::before {
+  content: "\f121"; }
+
+.fa-whiskey-glass::before {
+  content: "\f7a0"; }
+
+.fa-glass-whiskey::before {
+  content: "\f7a0"; }
+
+.fa-building-circle-exclamation::before {
+  content: "\e4d3"; }
+
+.fa-magnifying-glass-chart::before {
+  content: "\e522"; }
+
+.fa-arrow-up-right-from-square::before {
+  content: "\f08e"; }
+
+.fa-external-link::before {
+  content: "\f08e"; }
+
+.fa-cubes-stacked::before {
+  content: "\e4e6"; }
+
+.fa-won-sign::before {
+  content: "\f159"; }
+
+.fa-krw::before {
+  content: "\f159"; }
+
+.fa-won::before {
+  content: "\f159"; }
+
+.fa-virus-covid::before {
+  content: "\e4a8"; }
+
+.fa-austral-sign::before {
+  content: "\e0a9"; }
+
+.fa-f::before {
+  content: "\46"; }
+
+.fa-leaf::before {
+  content: "\f06c"; }
+
+.fa-road::before {
+  content: "\f018"; }
+
+.fa-taxi::before {
+  content: "\f1ba"; }
+
+.fa-cab::before {
+  content: "\f1ba"; }
+
+.fa-person-circle-plus::before {
+  content: "\e541"; }
+
+.fa-chart-pie::before {
+  content: "\f200"; }
+
+.fa-pie-chart::before {
+  content: "\f200"; }
+
+.fa-bolt-lightning::before {
+  content: "\e0b7"; }
+
+.fa-sack-xmark::before {
+  content: "\e56a"; }
+
+.fa-file-excel::before {
+  content: "\f1c3"; }
+
+.fa-file-contract::before {
+  content: "\f56c"; }
+
+.fa-fish-fins::before {
+  content: "\e4f2"; }
+
+.fa-building-flag::before {
+  content: "\e4d5"; }
+
+.fa-face-grin-beam::before {
+  content: "\f582"; }
+
+.fa-grin-beam::before {
+  content: "\f582"; }
+
+.fa-object-ungroup::before {
+  content: "\f248"; }
+
+.fa-poop::before {
+  content: "\f619"; }
+
+.fa-location-pin::before {
+  content: "\f041"; }
+
+.fa-map-marker::before {
+  content: "\f041"; }
+
+.fa-kaaba::before {
+  content: "\f66b"; }
+
+.fa-toilet-paper::before {
+  content: "\f71e"; }
+
+.fa-helmet-safety::before {
+  content: "\f807"; }
+
+.fa-hard-hat::before {
+  content: "\f807"; }
+
+.fa-hat-hard::before {
+  content: "\f807"; }
+
+.fa-eject::before {
+  content: "\f052"; }
+
+.fa-circle-right::before {
+  content: "\f35a"; }
+
+.fa-arrow-alt-circle-right::before {
+  content: "\f35a"; }
+
+.fa-plane-circle-check::before {
+  content: "\e555"; }
+
+.fa-face-rolling-eyes::before {
+  content: "\f5a5"; }
+
+.fa-meh-rolling-eyes::before {
+  content: "\f5a5"; }
+
+.fa-object-group::before {
+  content: "\f247"; }
+
+.fa-chart-line::before {
+  content: "\f201"; }
+
+.fa-line-chart::before {
+  content: "\f201"; }
+
+.fa-mask-ventilator::before {
+  content: "\e524"; }
+
+.fa-arrow-right::before {
+  content: "\f061"; }
+
+.fa-signs-post::before {
+  content: "\f277"; }
+
+.fa-map-signs::before {
+  content: "\f277"; }
+
+.fa-cash-register::before {
+  content: "\f788"; }
+
+.fa-person-circle-question::before {
+  content: "\e542"; }
+
+.fa-h::before {
+  content: "\48"; }
+
+.fa-tarp::before {
+  content: "\e57b"; }
+
+.fa-screwdriver-wrench::before {
+  content: "\f7d9"; }
+
+.fa-tools::before {
+  content: "\f7d9"; }
+
+.fa-arrows-to-eye::before {
+  content: "\e4bf"; }
+
+.fa-plug-circle-bolt::before {
+  content: "\e55b"; }
+
+.fa-heart::before {
+  content: "\f004"; }
+
+.fa-mars-and-venus::before {
+  content: "\f224"; }
+
+.fa-house-user::before {
+  content: "\e1b0"; }
+
+.fa-home-user::before {
+  content: "\e1b0"; }
+
+.fa-dumpster-fire::before {
+  content: "\f794"; }
+
+.fa-house-crack::before {
+  content: "\e3b1"; }
+
+.fa-martini-glass-citrus::before {
+  content: "\f561"; }
+
+.fa-cocktail::before {
+  content: "\f561"; }
+
+.fa-face-surprise::before {
+  content: "\f5c2"; }
+
+.fa-surprise::before {
+  content: "\f5c2"; }
+
+.fa-bottle-water::before {
+  content: "\e4c5"; }
+
+.fa-circle-pause::before {
+  content: "\f28b"; }
+
+.fa-pause-circle::before {
+  content: "\f28b"; }
+
+.fa-toilet-paper-slash::before {
+  content: "\e072"; }
+
+.fa-apple-whole::before {
+  content: "\f5d1"; }
+
+.fa-apple-alt::before {
+  content: "\f5d1"; }
+
+.fa-kitchen-set::before {
+  content: "\e51a"; }
+
+.fa-r::before {
+  content: "\52"; }
+
+.fa-temperature-quarter::before {
+  content: "\f2ca"; }
+
+.fa-temperature-1::before {
+  content: "\f2ca"; }
+
+.fa-thermometer-1::before {
+  content: "\f2ca"; }
+
+.fa-thermometer-quarter::before {
+  content: "\f2ca"; }
+
+.fa-cube::before {
+  content: "\f1b2"; }
+
+.fa-bitcoin-sign::before {
+  content: "\e0b4"; }
+
+.fa-shield-dog::before {
+  content: "\e573"; }
+
+.fa-solar-panel::before {
+  content: "\f5ba"; }
+
+.fa-lock-open::before {
+  content: "\f3c1"; }
+
+.fa-elevator::before {
+  content: "\e16d"; }
+
+.fa-money-bill-transfer::before {
+  content: "\e528"; }
+
+.fa-money-bill-trend-up::before {
+  content: "\e529"; }
+
+.fa-house-flood-water-circle-arrow-right::before {
+  content: "\e50f"; }
+
+.fa-square-poll-horizontal::before {
+  content: "\f682"; }
+
+.fa-poll-h::before {
+  content: "\f682"; }
+
+.fa-circle::before {
+  content: "\f111"; }
+
+.fa-backward-fast::before {
+  content: "\f049"; }
+
+.fa-fast-backward::before {
+  content: "\f049"; }
+
+.fa-recycle::before {
+  content: "\f1b8"; }
+
+.fa-user-astronaut::before {
+  content: "\f4fb"; }
+
+.fa-plane-slash::before {
+  content: "\e069"; }
+
+.fa-trademark::before {
+  content: "\f25c"; }
+
+.fa-basketball::before {
+  content: "\f434"; }
+
+.fa-basketball-ball::before {
+  content: "\f434"; }
+
+.fa-satellite-dish::before {
+  content: "\f7c0"; }
+
+.fa-circle-up::before {
+  content: "\f35b"; }
+
+.fa-arrow-alt-circle-up::before {
+  content: "\f35b"; }
+
+.fa-mobile-screen-button::before {
+  content: "\f3cd"; }
+
+.fa-mobile-alt::before {
+  content: "\f3cd"; }
+
+.fa-volume-high::before {
+  content: "\f028"; }
+
+.fa-volume-up::before {
+  content: "\f028"; }
+
+.fa-users-rays::before {
+  content: "\e593"; }
+
+.fa-wallet::before {
+  content: "\f555"; }
+
+.fa-clipboard-check::before {
+  content: "\f46c"; }
+
+.fa-file-audio::before {
+  content: "\f1c7"; }
+
+.fa-burger::before {
+  content: "\f805"; }
+
+.fa-hamburger::before {
+  content: "\f805"; }
+
+.fa-wrench::before {
+  content: "\f0ad"; }
+
+.fa-bugs::before {
+  content: "\e4d0"; }
+
+.fa-rupee-sign::before {
+  content: "\f156"; }
+
+.fa-rupee::before {
+  content: "\f156"; }
+
+.fa-file-image::before {
+  content: "\f1c5"; }
+
+.fa-circle-question::before {
+  content: "\f059"; }
+
+.fa-question-circle::before {
+  content: "\f059"; }
+
+.fa-plane-departure::before {
+  content: "\f5b0"; }
+
+.fa-handshake-slash::before {
+  content: "\e060"; }
+
+.fa-book-bookmark::before {
+  content: "\e0bb"; }
+
+.fa-code-branch::before {
+  content: "\f126"; }
+
+.fa-hat-cowboy::before {
+  content: "\f8c0"; }
+
+.fa-bridge::before {
+  content: "\e4c8"; }
+
+.fa-phone-flip::before {
+  content: "\f879"; }
+
+.fa-phone-alt::before {
+  content: "\f879"; }
+
+.fa-truck-front::before {
+  content: "\e2b7"; }
+
+.fa-cat::before {
+  content: "\f6be"; }
+
+.fa-anchor-circle-exclamation::before {
+  content: "\e4ab"; }
+
+.fa-truck-field::before {
+  content: "\e58d"; }
+
+.fa-route::before {
+  content: "\f4d7"; }
+
+.fa-clipboard-question::before {
+  content: "\e4e3"; }
+
+.fa-panorama::before {
+  content: "\e209"; }
+
+.fa-comment-medical::before {
+  content: "\f7f5"; }
+
+.fa-teeth-open::before {
+  content: "\f62f"; }
+
+.fa-file-circle-minus::before {
+  content: "\e4ed"; }
+
+.fa-tags::before {
+  content: "\f02c"; }
+
+.fa-wine-glass::before {
+  content: "\f4e3"; }
+
+.fa-forward-fast::before {
+  content: "\f050"; }
+
+.fa-fast-forward::before {
+  content: "\f050"; }
+
+.fa-face-meh-blank::before {
+  content: "\f5a4"; }
+
+.fa-meh-blank::before {
+  content: "\f5a4"; }
+
+.fa-square-parking::before {
+  content: "\f540"; }
+
+.fa-parking::before {
+  content: "\f540"; }
+
+.fa-house-signal::before {
+  content: "\e012"; }
+
+.fa-bars-progress::before {
+  content: "\f828"; }
+
+.fa-tasks-alt::before {
+  content: "\f828"; }
+
+.fa-faucet-drip::before {
+  content: "\e006"; }
+
+.fa-cart-flatbed::before {
+  content: "\f474"; }
+
+.fa-dolly-flatbed::before {
+  content: "\f474"; }
+
+.fa-ban-smoking::before {
+  content: "\f54d"; }
+
+.fa-smoking-ban::before {
+  content: "\f54d"; }
+
+.fa-terminal::before {
+  content: "\f120"; }
+
+.fa-mobile-button::before {
+  content: "\f10b"; }
+
+.fa-house-medical-flag::before {
+  content: "\e514"; }
+
+.fa-basket-shopping::before {
+  content: "\f291"; }
+
+.fa-shopping-basket::before {
+  content: "\f291"; }
+
+.fa-tape::before {
+  content: "\f4db"; }
+
+.fa-bus-simple::before {
+  content: "\f55e"; }
+
+.fa-bus-alt::before {
+  content: "\f55e"; }
+
+.fa-eye::before {
+  content: "\f06e"; }
+
+.fa-face-sad-cry::before {
+  content: "\f5b3"; }
+
+.fa-sad-cry::before {
+  content: "\f5b3"; }
+
+.fa-audio-description::before {
+  content: "\f29e"; }
+
+.fa-person-military-to-person::before {
+  content: "\e54c"; }
+
+.fa-file-shield::before {
+  content: "\e4f0"; }
+
+.fa-user-slash::before {
+  content: "\f506"; }
+
+.fa-pen::before {
+  content: "\f304"; }
+
+.fa-tower-observation::before {
+  content: "\e586"; }
+
+.fa-file-code::before {
+  content: "\f1c9"; }
+
+.fa-signal::before {
+  content: "\f012"; }
+
+.fa-signal-5::before {
+  content: "\f012"; }
+
+.fa-signal-perfect::before {
+  content: "\f012"; }
+
+.fa-bus::before {
+  content: "\f207"; }
+
+.fa-heart-circle-xmark::before {
+  content: "\e501"; }
+
+.fa-house-chimney::before {
+  content: "\e3af"; }
+
+.fa-home-lg::before {
+  content: "\e3af"; }
+
+.fa-window-maximize::before {
+  content: "\f2d0"; }
+
+.fa-face-frown::before {
+  content: "\f119"; }
+
+.fa-frown::before {
+  content: "\f119"; }
+
+.fa-prescription::before {
+  content: "\f5b1"; }
+
+.fa-shop::before {
+  content: "\f54f"; }
+
+.fa-store-alt::before {
+  content: "\f54f"; }
+
+.fa-floppy-disk::before {
+  content: "\f0c7"; }
+
+.fa-save::before {
+  content: "\f0c7"; }
+
+.fa-vihara::before {
+  content: "\f6a7"; }
+
+.fa-scale-unbalanced::before {
+  content: "\f515"; }
+
+.fa-balance-scale-left::before {
+  content: "\f515"; }
+
+.fa-sort-up::before {
+  content: "\f0de"; }
+
+.fa-sort-asc::before {
+  content: "\f0de"; }
+
+.fa-comment-dots::before {
+  content: "\f4ad"; }
+
+.fa-commenting::before {
+  content: "\f4ad"; }
+
+.fa-plant-wilt::before {
+  content: "\e5aa"; }
+
+.fa-diamond::before {
+  content: "\f219"; }
+
+.fa-face-grin-squint::before {
+  content: "\f585"; }
+
+.fa-grin-squint::before {
+  content: "\f585"; }
+
+.fa-hand-holding-dollar::before {
+  content: "\f4c0"; }
+
+.fa-hand-holding-usd::before {
+  content: "\f4c0"; }
+
+.fa-bacterium::before {
+  content: "\e05a"; }
+
+.fa-hand-pointer::before {
+  content: "\f25a"; }
+
+.fa-drum-steelpan::before {
+  content: "\f56a"; }
+
+.fa-hand-scissors::before {
+  content: "\f257"; }
+
+.fa-hands-praying::before {
+  content: "\f684"; }
+
+.fa-praying-hands::before {
+  content: "\f684"; }
+
+.fa-arrow-rotate-right::before {
+  content: "\f01e"; }
+
+.fa-arrow-right-rotate::before {
+  content: "\f01e"; }
+
+.fa-arrow-rotate-forward::before {
+  content: "\f01e"; }
+
+.fa-redo::before {
+  content: "\f01e"; }
+
+.fa-biohazard::before {
+  content: "\f780"; }
+
+.fa-location-crosshairs::before {
+  content: "\f601"; }
+
+.fa-location::before {
+  content: "\f601"; }
+
+.fa-mars-double::before {
+  content: "\f227"; }
+
+.fa-child-dress::before {
+  content: "\e59c"; }
+
+.fa-users-between-lines::before {
+  content: "\e591"; }
+
+.fa-lungs-virus::before {
+  content: "\e067"; }
+
+.fa-face-grin-tears::before {
+  content: "\f588"; }
+
+.fa-grin-tears::before {
+  content: "\f588"; }
+
+.fa-phone::before {
+  content: "\f095"; }
+
+.fa-calendar-xmark::before {
+  content: "\f273"; }
+
+.fa-calendar-times::before {
+  content: "\f273"; }
+
+.fa-child-reaching::before {
+  content: "\e59d"; }
+
+.fa-head-side-virus::before {
+  content: "\e064"; }
+
+.fa-user-gear::before {
+  content: "\f4fe"; }
+
+.fa-user-cog::before {
+  content: "\f4fe"; }
+
+.fa-arrow-up-1-9::before {
+  content: "\f163"; }
+
+.fa-sort-numeric-up::before {
+  content: "\f163"; }
+
+.fa-door-closed::before {
+  content: "\f52a"; }
+
+.fa-shield-virus::before {
+  content: "\e06c"; }
+
+.fa-dice-six::before {
+  content: "\f526"; }
+
+.fa-mosquito-net::before {
+  content: "\e52c"; }
+
+.fa-bridge-water::before {
+  content: "\e4ce"; }
+
+.fa-person-booth::before {
+  content: "\f756"; }
+
+.fa-text-width::before {
+  content: "\f035"; }
+
+.fa-hat-wizard::before {
+  content: "\f6e8"; }
+
+.fa-pen-fancy::before {
+  content: "\f5ac"; }
+
+.fa-person-digging::before {
+  content: "\f85e"; }
+
+.fa-digging::before {
+  content: "\f85e"; }
+
+.fa-trash::before {
+  content: "\f1f8"; }
+
+.fa-gauge-simple::before {
+  content: "\f629"; }
+
+.fa-gauge-simple-med::before {
+  content: "\f629"; }
+
+.fa-tachometer-average::before {
+  content: "\f629"; }
+
+.fa-book-medical::before {
+  content: "\f7e6"; }
+
+.fa-poo::before {
+  content: "\f2fe"; }
+
+.fa-quote-right::before {
+  content: "\f10e"; }
+
+.fa-quote-right-alt::before {
+  content: "\f10e"; }
+
+.fa-shirt::before {
+  content: "\f553"; }
+
+.fa-t-shirt::before {
+  content: "\f553"; }
+
+.fa-tshirt::before {
+  content: "\f553"; }
+
+.fa-cubes::before {
+  content: "\f1b3"; }
+
+.fa-divide::before {
+  content: "\f529"; }
+
+.fa-tenge-sign::before {
+  content: "\f7d7"; }
+
+.fa-tenge::before {
+  content: "\f7d7"; }
+
+.fa-headphones::before {
+  content: "\f025"; }
+
+.fa-hands-holding::before {
+  content: "\f4c2"; }
+
+.fa-hands-clapping::before {
+  content: "\e1a8"; }
+
+.fa-republican::before {
+  content: "\f75e"; }
+
+.fa-arrow-left::before {
+  content: "\f060"; }
+
+.fa-person-circle-xmark::before {
+  content: "\e543"; }
+
+.fa-ruler::before {
+  content: "\f545"; }
+
+.fa-align-left::before {
+  content: "\f036"; }
+
+.fa-dice-d6::before {
+  content: "\f6d1"; }
+
+.fa-restroom::before {
+  content: "\f7bd"; }
+
+.fa-j::before {
+  content: "\4a"; }
+
+.fa-users-viewfinder::before {
+  content: "\e595"; }
+
+.fa-file-video::before {
+  content: "\f1c8"; }
+
+.fa-up-right-from-square::before {
+  content: "\f35d"; }
+
+.fa-external-link-alt::before {
+  content: "\f35d"; }
+
+.fa-table-cells::before {
+  content: "\f00a"; }
+
+.fa-th::before {
+  content: "\f00a"; }
+
+.fa-file-pdf::before {
+  content: "\f1c1"; }
+
+.fa-book-bible::before {
+  content: "\f647"; }
+
+.fa-bible::before {
+  content: "\f647"; }
+
+.fa-o::before {
+  content: "\4f"; }
+
+.fa-suitcase-medical::before {
+  content: "\f0fa"; }
+
+.fa-medkit::before {
+  content: "\f0fa"; }
+
+.fa-user-secret::before {
+  content: "\f21b"; }
+
+.fa-otter::before {
+  content: "\f700"; }
+
+.fa-person-dress::before {
+  content: "\f182"; }
+
+.fa-female::before {
+  content: "\f182"; }
+
+.fa-comment-dollar::before {
+  content: "\f651"; }
+
+.fa-business-time::before {
+  content: "\f64a"; }
+
+.fa-briefcase-clock::before {
+  content: "\f64a"; }
+
+.fa-table-cells-large::before {
+  content: "\f009"; }
+
+.fa-th-large::before {
+  content: "\f009"; }
+
+.fa-book-tanakh::before {
+  content: "\f827"; }
+
+.fa-tanakh::before {
+  content: "\f827"; }
+
+.fa-phone-volume::before {
+  content: "\f2a0"; }
+
+.fa-volume-control-phone::before {
+  content: "\f2a0"; }
+
+.fa-hat-cowboy-side::before {
+  content: "\f8c1"; }
+
+.fa-clipboard-user::before {
+  content: "\f7f3"; }
+
+.fa-child::before {
+  content: "\f1ae"; }
+
+.fa-lira-sign::before {
+  content: "\f195"; }
+
+.fa-satellite::before {
+  content: "\f7bf"; }
+
+.fa-plane-lock::before {
+  content: "\e558"; }
+
+.fa-tag::before {
+  content: "\f02b"; }
+
+.fa-comment::before {
+  content: "\f075"; }
+
+.fa-cake-candles::before {
+  content: "\f1fd"; }
+
+.fa-birthday-cake::before {
+  content: "\f1fd"; }
+
+.fa-cake::before {
+  content: "\f1fd"; }
+
+.fa-envelope::before {
+  content: "\f0e0"; }
+
+.fa-angles-up::before {
+  content: "\f102"; }
+
+.fa-angle-double-up::before {
+  content: "\f102"; }
+
+.fa-paperclip::before {
+  content: "\f0c6"; }
+
+.fa-arrow-right-to-city::before {
+  content: "\e4b3"; }
+
+.fa-ribbon::before {
+  content: "\f4d6"; }
+
+.fa-lungs::before {
+  content: "\f604"; }
+
+.fa-arrow-up-9-1::before {
+  content: "\f887"; }
+
+.fa-sort-numeric-up-alt::before {
+  content: "\f887"; }
+
+.fa-litecoin-sign::before {
+  content: "\e1d3"; }
+
+.fa-border-none::before {
+  content: "\f850"; }
+
+.fa-circle-nodes::before {
+  content: "\e4e2"; }
+
+.fa-parachute-box::before {
+  content: "\f4cd"; }
+
+.fa-indent::before {
+  content: "\f03c"; }
+
+.fa-truck-field-un::before {
+  content: "\e58e"; }
+
+.fa-hourglass::before {
+  content: "\f254"; }
+
+.fa-hourglass-empty::before {
+  content: "\f254"; }
+
+.fa-mountain::before {
+  content: "\f6fc"; }
+
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+  content: "\f0f0"; }
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+  content: "\f0f0"; }
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+  content: "\f05a"; }
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+  content: "\f05a"; }
+
+.fa-cloud-meatball::before {
+  content: "\f73b"; }
+
+.fa-camera::before {
+  content: "\f030"; }
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+.fa-camera-alt::before {
+  content: "\f030"; }
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+.fa-square-virus::before {
+  content: "\e578"; }
+
+.fa-meteor::before {
+  content: "\f753"; }
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+.fa-car-on::before {
+  content: "\e4dd"; }
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+.fa-sleigh::before {
+  content: "\f7cc"; }
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+  content: "\f162"; }
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+  content: "\f162"; }
+
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+  content: "\f162"; }
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+  content: "\f4c1"; }
+
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+  content: "\f4c1"; }
+
+.fa-water::before {
+  content: "\f773"; }
+
+.fa-calendar-check::before {
+  content: "\f274"; }
+
+.fa-braille::before {
+  content: "\f2a1"; }
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+.fa-prescription-bottle-medical::before {
+  content: "\f486"; }
+
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+  content: "\f486"; }
+
+.fa-landmark::before {
+  content: "\f66f"; }
+
+.fa-truck::before {
+  content: "\f0d1"; }
+
+.fa-crosshairs::before {
+  content: "\f05b"; }
+
+.fa-person-cane::before {
+  content: "\e53c"; }
+
+.fa-tent::before {
+  content: "\e57d"; }
+
+.fa-vest-patches::before {
+  content: "\e086"; }
+
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+  content: "\f560"; }
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+  content: "\f15d"; }
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+  content: "\f15d"; }
+
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+  content: "\f15d"; }
+
+.fa-money-bill-wheat::before {
+  content: "\e52a"; }
+
+.fa-cookie::before {
+  content: "\f563"; }
+
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+  content: "\f0e2"; }
+
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+  content: "\f0e2"; }
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+  content: "\f0e2"; }
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+  content: "\f0e2"; }
+
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+  content: "\f0e2"; }
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+  content: "\f0a0"; }
+
+.fa-hdd::before {
+  content: "\f0a0"; }
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+.fa-face-grin-squint-tears::before {
+  content: "\f586"; }
+
+.fa-grin-squint-tears::before {
+  content: "\f586"; }
+
+.fa-dumbbell::before {
+  content: "\f44b"; }
+
+.fa-rectangle-list::before {
+  content: "\f022"; }
+
+.fa-list-alt::before {
+  content: "\f022"; }
+
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+  content: "\e57c"; }
+
+.fa-house-medical-circle-check::before {
+  content: "\e511"; }
+
+.fa-person-skiing-nordic::before {
+  content: "\f7ca"; }
+
+.fa-skiing-nordic::before {
+  content: "\f7ca"; }
+
+.fa-calendar-plus::before {
+  content: "\f271"; }
+
+.fa-plane-arrival::before {
+  content: "\f5af"; }
+
+.fa-circle-left::before {
+  content: "\f359"; }
+
+.fa-arrow-alt-circle-left::before {
+  content: "\f359"; }
+
+.fa-train-subway::before {
+  content: "\f239"; }
+
+.fa-subway::before {
+  content: "\f239"; }
+
+.fa-chart-gantt::before {
+  content: "\e0e4"; }
+
+.fa-indian-rupee-sign::before {
+  content: "\e1bc"; }
+
+.fa-indian-rupee::before {
+  content: "\e1bc"; }
+
+.fa-inr::before {
+  content: "\e1bc"; }
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+.fa-crop-simple::before {
+  content: "\f565"; }
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+.fa-crop-alt::before {
+  content: "\f565"; }
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+.fa-money-bill-1::before {
+  content: "\f3d1"; }
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+  content: "\f3d1"; }
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+.fa-left-long::before {
+  content: "\f30a"; }
+
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+  content: "\f30a"; }
+
+.fa-dna::before {
+  content: "\f471"; }
+
+.fa-virus-slash::before {
+  content: "\e075"; }
+
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+  content: "\f068"; }
+
+.fa-subtract::before {
+  content: "\f068"; }
+
+.fa-chess::before {
+  content: "\f439"; }
+
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+  content: "\f177"; }
+
+.fa-long-arrow-left::before {
+  content: "\f177"; }
+
+.fa-plug-circle-check::before {
+  content: "\e55c"; }
+
+.fa-street-view::before {
+  content: "\f21d"; }
+
+.fa-franc-sign::before {
+  content: "\e18f"; }
+
+.fa-volume-off::before {
+  content: "\f026"; }
+
+.fa-hands-asl-interpreting::before {
+  content: "\f2a3"; }
+
+.fa-american-sign-language-interpreting::before {
+  content: "\f2a3"; }
+
+.fa-asl-interpreting::before {
+  content: "\f2a3"; }
+
+.fa-hands-american-sign-language-interpreting::before {
+  content: "\f2a3"; }
+
+.fa-gear::before {
+  content: "\f013"; }
+
+.fa-cog::before {
+  content: "\f013"; }
+
+.fa-droplet-slash::before {
+  content: "\f5c7"; }
+
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+  content: "\f5c7"; }
+
+.fa-mosque::before {
+  content: "\f678"; }
+
+.fa-mosquito::before {
+  content: "\e52b"; }
+
+.fa-star-of-david::before {
+  content: "\f69a"; }
+
+.fa-person-military-rifle::before {
+  content: "\e54b"; }
+
+.fa-cart-shopping::before {
+  content: "\f07a"; }
+
+.fa-shopping-cart::before {
+  content: "\f07a"; }
+
+.fa-vials::before {
+  content: "\f493"; }
+
+.fa-plug-circle-plus::before {
+  content: "\e55f"; }
+
+.fa-place-of-worship::before {
+  content: "\f67f"; }
+
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+  content: "\f58e"; }
+
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+  content: "\f148"; }
+
+.fa-level-up::before {
+  content: "\f148"; }
+
+.fa-u::before {
+  content: "\55"; }
+
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+  content: "\f698"; }
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+.fa-square-root-alt::before {
+  content: "\f698"; }
+
+.fa-clock::before {
+  content: "\f017"; }
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+.fa-clock-four::before {
+  content: "\f017"; }
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+.fa-backward-step::before {
+  content: "\f048"; }
+
+.fa-step-backward::before {
+  content: "\f048"; }
+
+.fa-pallet::before {
+  content: "\f482"; }
+
+.fa-faucet::before {
+  content: "\e005"; }
+
+.fa-baseball-bat-ball::before {
+  content: "\f432"; }
+
+.fa-s::before {
+  content: "\53"; }
+
+.fa-timeline::before {
+  content: "\e29c"; }
+
+.fa-keyboard::before {
+  content: "\f11c"; }
+
+.fa-caret-down::before {
+  content: "\f0d7"; }
+
+.fa-house-chimney-medical::before {
+  content: "\f7f2"; }
+
+.fa-clinic-medical::before {
+  content: "\f7f2"; }
+
+.fa-temperature-three-quarters::before {
+  content: "\f2c8"; }
+
+.fa-temperature-3::before {
+  content: "\f2c8"; }
+
+.fa-thermometer-3::before {
+  content: "\f2c8"; }
+
+.fa-thermometer-three-quarters::before {
+  content: "\f2c8"; }
+
+.fa-mobile-screen::before {
+  content: "\f3cf"; }
+
+.fa-mobile-android-alt::before {
+  content: "\f3cf"; }
+
+.fa-plane-up::before {
+  content: "\e22d"; }
+
+.fa-piggy-bank::before {
+  content: "\f4d3"; }
+
+.fa-battery-half::before {
+  content: "\f242"; }
+
+.fa-battery-3::before {
+  content: "\f242"; }
+
+.fa-mountain-city::before {
+  content: "\e52e"; }
+
+.fa-coins::before {
+  content: "\f51e"; }
+
+.fa-khanda::before {
+  content: "\f66d"; }
+
+.fa-sliders::before {
+  content: "\f1de"; }
+
+.fa-sliders-h::before {
+  content: "\f1de"; }
+
+.fa-folder-tree::before {
+  content: "\f802"; }
+
+.fa-network-wired::before {
+  content: "\f6ff"; }
+
+.fa-map-pin::before {
+  content: "\f276"; }
+
+.fa-hamsa::before {
+  content: "\f665"; }
+
+.fa-cent-sign::before {
+  content: "\e3f5"; }
+
+.fa-flask::before {
+  content: "\f0c3"; }
+
+.fa-person-pregnant::before {
+  content: "\e31e"; }
+
+.fa-wand-sparkles::before {
+  content: "\f72b"; }
+
+.fa-ellipsis-vertical::before {
+  content: "\f142"; }
+
+.fa-ellipsis-v::before {
+  content: "\f142"; }
+
+.fa-ticket::before {
+  content: "\f145"; }
+
+.fa-power-off::before {
+  content: "\f011"; }
+
+.fa-right-long::before {
+  content: "\f30b"; }
+
+.fa-long-arrow-alt-right::before {
+  content: "\f30b"; }
+
+.fa-flag-usa::before {
+  content: "\f74d"; }
+
+.fa-laptop-file::before {
+  content: "\e51d"; }
+
+.fa-tty::before {
+  content: "\f1e4"; }
+
+.fa-teletype::before {
+  content: "\f1e4"; }
+
+.fa-diagram-next::before {
+  content: "\e476"; }
+
+.fa-person-rifle::before {
+  content: "\e54e"; }
+
+.fa-house-medical-circle-exclamation::before {
+  content: "\e512"; }
+
+.fa-closed-captioning::before {
+  content: "\f20a"; }
+
+.fa-person-hiking::before {
+  content: "\f6ec"; }
+
+.fa-hiking::before {
+  content: "\f6ec"; }
+
+.fa-venus-double::before {
+  content: "\f226"; }
+
+.fa-images::before {
+  content: "\f302"; }
+
+.fa-calculator::before {
+  content: "\f1ec"; }
+
+.fa-people-pulling::before {
+  content: "\e535"; }
+
+.fa-n::before {
+  content: "\4e"; }
+
+.fa-cable-car::before {
+  content: "\f7da"; }
+
+.fa-tram::before {
+  content: "\f7da"; }
+
+.fa-cloud-rain::before {
+  content: "\f73d"; }
+
+.fa-building-circle-xmark::before {
+  content: "\e4d4"; }
+
+.fa-ship::before {
+  content: "\f21a"; }
+
+.fa-arrows-down-to-line::before {
+  content: "\e4b8"; }
+
+.fa-download::before {
+  content: "\f019"; }
+
+.fa-face-grin::before {
+  content: "\f580"; }
+
+.fa-grin::before {
+  content: "\f580"; }
+
+.fa-delete-left::before {
+  content: "\f55a"; }
+
+.fa-backspace::before {
+  content: "\f55a"; }
+
+.fa-eye-dropper::before {
+  content: "\f1fb"; }
+
+.fa-eye-dropper-empty::before {
+  content: "\f1fb"; }
+
+.fa-eyedropper::before {
+  content: "\f1fb"; }
+
+.fa-file-circle-check::before {
+  content: "\e5a0"; }
+
+.fa-forward::before {
+  content: "\f04e"; }
+
+.fa-mobile::before {
+  content: "\f3ce"; }
+
+.fa-mobile-android::before {
+  content: "\f3ce"; }
+
+.fa-mobile-phone::before {
+  content: "\f3ce"; }
+
+.fa-face-meh::before {
+  content: "\f11a"; }
+
+.fa-meh::before {
+  content: "\f11a"; }
+
+.fa-align-center::before {
+  content: "\f037"; }
+
+.fa-book-skull::before {
+  content: "\f6b7"; }
+
+.fa-book-dead::before {
+  content: "\f6b7"; }
+
+.fa-id-card::before {
+  content: "\f2c2"; }
+
+.fa-drivers-license::before {
+  content: "\f2c2"; }
+
+.fa-outdent::before {
+  content: "\f03b"; }
+
+.fa-dedent::before {
+  content: "\f03b"; }
+
+.fa-heart-circle-exclamation::before {
+  content: "\e4fe"; }
+
+.fa-house::before {
+  content: "\f015"; }
+
+.fa-home::before {
+  content: "\f015"; }
+
+.fa-home-alt::before {
+  content: "\f015"; }
+
+.fa-home-lg-alt::before {
+  content: "\f015"; }
+
+.fa-calendar-week::before {
+  content: "\f784"; }
+
+.fa-laptop-medical::before {
+  content: "\f812"; }
+
+.fa-b::before {
+  content: "\42"; }
+
+.fa-file-medical::before {
+  content: "\f477"; }
+
+.fa-dice-one::before {
+  content: "\f525"; }
+
+.fa-kiwi-bird::before {
+  content: "\f535"; }
+
+.fa-arrow-right-arrow-left::before {
+  content: "\f0ec"; }
+
+.fa-exchange::before {
+  content: "\f0ec"; }
+
+.fa-rotate-right::before {
+  content: "\f2f9"; }
+
+.fa-redo-alt::before {
+  content: "\f2f9"; }
+
+.fa-rotate-forward::before {
+  content: "\f2f9"; }
+
+.fa-utensils::before {
+  content: "\f2e7"; }
+
+.fa-cutlery::before {
+  content: "\f2e7"; }
+
+.fa-arrow-up-wide-short::before {
+  content: "\f161"; }
+
+.fa-sort-amount-up::before {
+  content: "\f161"; }
+
+.fa-mill-sign::before {
+  content: "\e1ed"; }
+
+.fa-bowl-rice::before {
+  content: "\e2eb"; }
+
+.fa-skull::before {
+  content: "\f54c"; }
+
+.fa-tower-broadcast::before {
+  content: "\f519"; }
+
+.fa-broadcast-tower::before {
+  content: "\f519"; }
+
+.fa-truck-pickup::before {
+  content: "\f63c"; }
+
+.fa-up-long::before {
+  content: "\f30c"; }
+
+.fa-long-arrow-alt-up::before {
+  content: "\f30c"; }
+
+.fa-stop::before {
+  content: "\f04d"; }
+
+.fa-code-merge::before {
+  content: "\f387"; }
+
+.fa-upload::before {
+  content: "\f093"; }
+
+.fa-hurricane::before {
+  content: "\f751"; }
+
+.fa-mound::before {
+  content: "\e52d"; }
+
+.fa-toilet-portable::before {
+  content: "\e583"; }
+
+.fa-compact-disc::before {
+  content: "\f51f"; }
+
+.fa-file-arrow-down::before {
+  content: "\f56d"; }
+
+.fa-file-download::before {
+  content: "\f56d"; }
+
+.fa-caravan::before {
+  content: "\f8ff"; }
+
+.fa-shield-cat::before {
+  content: "\e572"; }
+
+.fa-bolt::before {
+  content: "\f0e7"; }
+
+.fa-zap::before {
+  content: "\f0e7"; }
+
+.fa-glass-water::before {
+  content: "\e4f4"; }
+
+.fa-oil-well::before {
+  content: "\e532"; }
+
+.fa-vault::before {
+  content: "\e2c5"; }
+
+.fa-mars::before {
+  content: "\f222"; }
+
+.fa-toilet::before {
+  content: "\f7d8"; }
+
+.fa-plane-circle-xmark::before {
+  content: "\e557"; }
+
+.fa-yen-sign::before {
+  content: "\f157"; }
+
+.fa-cny::before {
+  content: "\f157"; }
+
+.fa-jpy::before {
+  content: "\f157"; }
+
+.fa-rmb::before {
+  content: "\f157"; }
+
+.fa-yen::before {
+  content: "\f157"; }
+
+.fa-ruble-sign::before {
+  content: "\f158"; }
+
+.fa-rouble::before {
+  content: "\f158"; }
+
+.fa-rub::before {
+  content: "\f158"; }
+
+.fa-ruble::before {
+  content: "\f158"; }
+
+.fa-sun::before {
+  content: "\f185"; }
+
+.fa-guitar::before {
+  content: "\f7a6"; }
+
+.fa-face-laugh-wink::before {
+  content: "\f59c"; }
+
+.fa-laugh-wink::before {
+  content: "\f59c"; }
+
+.fa-horse-head::before {
+  content: "\f7ab"; }
+
+.fa-bore-hole::before {
+  content: "\e4c3"; }
+
+.fa-industry::before {
+  content: "\f275"; }
+
+.fa-circle-down::before {
+  content: "\f358"; }
+
+.fa-arrow-alt-circle-down::before {
+  content: "\f358"; }
+
+.fa-arrows-turn-to-dots::before {
+  content: "\e4c1"; }
+
+.fa-florin-sign::before {
+  content: "\e184"; }
+
+.fa-arrow-down-short-wide::before {
+  content: "\f884"; }
+
+.fa-sort-amount-desc::before {
+  content: "\f884"; }
+
+.fa-sort-amount-down-alt::before {
+  content: "\f884"; }
+
+.fa-less-than::before {
+  content: "\3c"; }
+
+.fa-angle-down::before {
+  content: "\f107"; }
+
+.fa-car-tunnel::before {
+  content: "\e4de"; }
+
+.fa-head-side-cough::before {
+  content: "\e061"; }
+
+.fa-grip-lines::before {
+  content: "\f7a4"; }
+
+.fa-thumbs-down::before {
+  content: "\f165"; }
+
+.fa-user-lock::before {
+  content: "\f502"; }
+
+.fa-arrow-right-long::before {
+  content: "\f178"; }
+
+.fa-long-arrow-right::before {
+  content: "\f178"; }
+
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+  content: "\e4ac"; }
+
+.fa-ellipsis::before {
+  content: "\f141"; }
+
+.fa-ellipsis-h::before {
+  content: "\f141"; }
+
+.fa-chess-pawn::before {
+  content: "\f443"; }
+
+.fa-kit-medical::before {
+  content: "\f479"; }
+
+.fa-first-aid::before {
+  content: "\f479"; }
+
+.fa-person-through-window::before {
+  content: "\e5a9"; }
+
+.fa-toolbox::before {
+  content: "\f552"; }
+
+.fa-hands-holding-circle::before {
+  content: "\e4fb"; }
+
+.fa-bug::before {
+  content: "\f188"; }
+
+.fa-credit-card::before {
+  content: "\f09d"; }
+
+.fa-credit-card-alt::before {
+  content: "\f09d"; }
+
+.fa-car::before {
+  content: "\f1b9"; }
+
+.fa-automobile::before {
+  content: "\f1b9"; }
+
+.fa-hand-holding-hand::before {
+  content: "\e4f7"; }
+
+.fa-book-open-reader::before {
+  content: "\f5da"; }
+
+.fa-book-reader::before {
+  content: "\f5da"; }
+
+.fa-mountain-sun::before {
+  content: "\e52f"; }
+
+.fa-arrows-left-right-to-line::before {
+  content: "\e4ba"; }
+
+.fa-dice-d20::before {
+  content: "\f6cf"; }
+
+.fa-truck-droplet::before {
+  content: "\e58c"; }
+
+.fa-file-circle-xmark::before {
+  content: "\e5a1"; }
+
+.fa-temperature-arrow-up::before {
+  content: "\e040"; }
+
+.fa-temperature-up::before {
+  content: "\e040"; }
+
+.fa-medal::before {
+  content: "\f5a2"; }
+
+.fa-bed::before {
+  content: "\f236"; }
+
+.fa-square-h::before {
+  content: "\f0fd"; }
+
+.fa-h-square::before {
+  content: "\f0fd"; }
+
+.fa-podcast::before {
+  content: "\f2ce"; }
+
+.fa-temperature-full::before {
+  content: "\f2c7"; }
+
+.fa-temperature-4::before {
+  content: "\f2c7"; }
+
+.fa-thermometer-4::before {
+  content: "\f2c7"; }
+
+.fa-thermometer-full::before {
+  content: "\f2c7"; }
+
+.fa-bell::before {
+  content: "\f0f3"; }
+
+.fa-superscript::before {
+  content: "\f12b"; }
+
+.fa-plug-circle-xmark::before {
+  content: "\e560"; }
+
+.fa-star-of-life::before {
+  content: "\f621"; }
+
+.fa-phone-slash::before {
+  content: "\f3dd"; }
+
+.fa-paint-roller::before {
+  content: "\f5aa"; }
+
+.fa-handshake-angle::before {
+  content: "\f4c4"; }
+
+.fa-hands-helping::before {
+  content: "\f4c4"; }
+
+.fa-location-dot::before {
+  content: "\f3c5"; }
+
+.fa-map-marker-alt::before {
+  content: "\f3c5"; }
+
+.fa-file::before {
+  content: "\f15b"; }
+
+.fa-greater-than::before {
+  content: "\3e"; }
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+  content: "\f5c4"; }
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+.fa-swimmer::before {
+  content: "\f5c4"; }
+
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+  content: "\f063"; }
+
+.fa-droplet::before {
+  content: "\f043"; }
+
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+  content: "\f043"; }
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+  content: "\f12d"; }
+
+.fa-earth-americas::before {
+  content: "\f57d"; }
+
+.fa-earth::before {
+  content: "\f57d"; }
+
+.fa-earth-america::before {
+  content: "\f57d"; }
+
+.fa-globe-americas::before {
+  content: "\f57d"; }
+
+.fa-person-burst::before {
+  content: "\e53b"; }
+
+.fa-dove::before {
+  content: "\f4ba"; }
+
+.fa-battery-empty::before {
+  content: "\f244"; }
+
+.fa-battery-0::before {
+  content: "\f244"; }
+
+.fa-socks::before {
+  content: "\f696"; }
+
+.fa-inbox::before {
+  content: "\f01c"; }
+
+.fa-section::before {
+  content: "\e447"; }
+
+.fa-gauge-high::before {
+  content: "\f625"; }
+
+.fa-tachometer-alt::before {
+  content: "\f625"; }
+
+.fa-tachometer-alt-fast::before {
+  content: "\f625"; }
+
+.fa-envelope-open-text::before {
+  content: "\f658"; }
+
+.fa-hospital::before {
+  content: "\f0f8"; }
+
+.fa-hospital-alt::before {
+  content: "\f0f8"; }
+
+.fa-hospital-wide::before {
+  content: "\f0f8"; }
+
+.fa-wine-bottle::before {
+  content: "\f72f"; }
+
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+  content: "\f447"; }
+
+.fa-bars-staggered::before {
+  content: "\f550"; }
+
+.fa-reorder::before {
+  content: "\f550"; }
+
+.fa-stream::before {
+  content: "\f550"; }
+
+.fa-dharmachakra::before {
+  content: "\f655"; }
+
+.fa-hotdog::before {
+  content: "\f80f"; }
+
+.fa-person-walking-with-cane::before {
+  content: "\f29d"; }
+
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+  content: "\f29d"; }
+
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+  content: "\f569"; }
+
+.fa-ice-cream::before {
+  content: "\f810"; }
+
+.fa-heart-circle-bolt::before {
+  content: "\e4fc"; }
+
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+  content: "\f1ac"; }
+
+.fa-paragraph::before {
+  content: "\f1dd"; }
+
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+  content: "\f772"; }
+
+.fa-vote-yea::before {
+  content: "\f772"; }
+
+.fa-star-half::before {
+  content: "\f089"; }
+
+.fa-boxes-stacked::before {
+  content: "\f468"; }
+
+.fa-boxes::before {
+  content: "\f468"; }
+
+.fa-boxes-alt::before {
+  content: "\f468"; }
+
+.fa-link::before {
+  content: "\f0c1"; }
+
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+  content: "\f0c1"; }
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+  content: "\f2a2"; }
+
+.fa-assistive-listening-systems::before {
+  content: "\f2a2"; }
+
+.fa-tree-city::before {
+  content: "\e587"; }
+
+.fa-play::before {
+  content: "\f04b"; }
+
+.fa-font::before {
+  content: "\f031"; }
+
+.fa-rupiah-sign::before {
+  content: "\e23d"; }
+
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+  content: "\f002"; }
+
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+  content: "\f002"; }
+
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+  content: "\f45d"; }
+
+.fa-ping-pong-paddle-ball::before {
+  content: "\f45d"; }
+
+.fa-table-tennis::before {
+  content: "\f45d"; }
+
+.fa-person-dots-from-line::before {
+  content: "\f470"; }
+
+.fa-diagnoses::before {
+  content: "\f470"; }
+
+.fa-trash-can-arrow-up::before {
+  content: "\f82a"; }
+
+.fa-trash-restore-alt::before {
+  content: "\f82a"; }
+
+.fa-naira-sign::before {
+  content: "\e1f6"; }
+
+.fa-cart-arrow-down::before {
+  content: "\f218"; }
+
+.fa-walkie-talkie::before {
+  content: "\f8ef"; }
+
+.fa-file-pen::before {
+  content: "\f31c"; }
+
+.fa-file-edit::before {
+  content: "\f31c"; }
+
+.fa-receipt::before {
+  content: "\f543"; }
+
+.fa-square-pen::before {
+  content: "\f14b"; }
+
+.fa-pen-square::before {
+  content: "\f14b"; }
+
+.fa-pencil-square::before {
+  content: "\f14b"; }
+
+.fa-suitcase-rolling::before {
+  content: "\f5c1"; }
+
+.fa-person-circle-exclamation::before {
+  content: "\e53f"; }
+
+.fa-chevron-down::before {
+  content: "\f078"; }
+
+.fa-battery-full::before {
+  content: "\f240"; }
+
+.fa-battery::before {
+  content: "\f240"; }
+
+.fa-battery-5::before {
+  content: "\f240"; }
+
+.fa-skull-crossbones::before {
+  content: "\f714"; }
+
+.fa-code-compare::before {
+  content: "\e13a"; }
+
+.fa-list-ul::before {
+  content: "\f0ca"; }
+
+.fa-list-dots::before {
+  content: "\f0ca"; }
+
+.fa-school-lock::before {
+  content: "\e56f"; }
+
+.fa-tower-cell::before {
+  content: "\e585"; }
+
+.fa-down-long::before {
+  content: "\f309"; }
+
+.fa-long-arrow-alt-down::before {
+  content: "\f309"; }
+
+.fa-ranking-star::before {
+  content: "\e561"; }
+
+.fa-chess-king::before {
+  content: "\f43f"; }
+
+.fa-person-harassing::before {
+  content: "\e549"; }
+
+.fa-brazilian-real-sign::before {
+  content: "\e46c"; }
+
+.fa-landmark-dome::before {
+  content: "\f752"; }
+
+.fa-landmark-alt::before {
+  content: "\f752"; }
+
+.fa-arrow-up::before {
+  content: "\f062"; }
+
+.fa-tv::before {
+  content: "\f26c"; }
+
+.fa-television::before {
+  content: "\f26c"; }
+
+.fa-tv-alt::before {
+  content: "\f26c"; }
+
+.fa-shrimp::before {
+  content: "\e448"; }
+
+.fa-list-check::before {
+  content: "\f0ae"; }
+
+.fa-tasks::before {
+  content: "\f0ae"; }
+
+.fa-jug-detergent::before {
+  content: "\e519"; }
+
+.fa-circle-user::before {
+  content: "\f2bd"; }
+
+.fa-user-circle::before {
+  content: "\f2bd"; }
+
+.fa-user-shield::before {
+  content: "\f505"; }
+
+.fa-wind::before {
+  content: "\f72e"; }
+
+.fa-car-burst::before {
+  content: "\f5e1"; }
+
+.fa-car-crash::before {
+  content: "\f5e1"; }
+
+.fa-y::before {
+  content: "\59"; }
+
+.fa-person-snowboarding::before {
+  content: "\f7ce"; }
+
+.fa-snowboarding::before {
+  content: "\f7ce"; }
+
+.fa-truck-fast::before {
+  content: "\f48b"; }
+
+.fa-shipping-fast::before {
+  content: "\f48b"; }
+
+.fa-fish::before {
+  content: "\f578"; }
+
+.fa-user-graduate::before {
+  content: "\f501"; }
+
+.fa-circle-half-stroke::before {
+  content: "\f042"; }
+
+.fa-adjust::before {
+  content: "\f042"; }
+
+.fa-clapperboard::before {
+  content: "\e131"; }
+
+.fa-circle-radiation::before {
+  content: "\f7ba"; }
+
+.fa-radiation-alt::before {
+  content: "\f7ba"; }
+
+.fa-baseball::before {
+  content: "\f433"; }
+
+.fa-baseball-ball::before {
+  content: "\f433"; }
+
+.fa-jet-fighter-up::before {
+  content: "\e518"; }
+
+.fa-diagram-project::before {
+  content: "\f542"; }
+
+.fa-project-diagram::before {
+  content: "\f542"; }
+
+.fa-copy::before {
+  content: "\f0c5"; }
+
+.fa-volume-xmark::before {
+  content: "\f6a9"; }
+
+.fa-volume-mute::before {
+  content: "\f6a9"; }
+
+.fa-volume-times::before {
+  content: "\f6a9"; }
+
+.fa-hand-sparkles::before {
+  content: "\e05d"; }
+
+.fa-grip::before {
+  content: "\f58d"; }
+
+.fa-grip-horizontal::before {
+  content: "\f58d"; }
+
+.fa-share-from-square::before {
+  content: "\f14d"; }
+
+.fa-share-square::before {
+  content: "\f14d"; }
+
+.fa-child-combatant::before {
+  content: "\e4e0"; }
+
+.fa-child-rifle::before {
+  content: "\e4e0"; }
+
+.fa-gun::before {
+  content: "\e19b"; }
+
+.fa-square-phone::before {
+  content: "\f098"; }
+
+.fa-phone-square::before {
+  content: "\f098"; }
+
+.fa-plus::before {
+  content: "\2b"; }
+
+.fa-add::before {
+  content: "\2b"; }
+
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+  content: "\f065"; }
+
+.fa-computer::before {
+  content: "\e4e5"; }
+
+.fa-xmark::before {
+  content: "\f00d"; }
+
+.fa-close::before {
+  content: "\f00d"; }
+
+.fa-multiply::before {
+  content: "\f00d"; }
+
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+  content: "\f00d"; }
+
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+  content: "\f00d"; }
+
+.fa-arrows-up-down-left-right::before {
+  content: "\f047"; }
+
+.fa-arrows::before {
+  content: "\f047"; }
+
+.fa-chalkboard-user::before {
+  content: "\f51c"; }
+
+.fa-chalkboard-teacher::before {
+  content: "\f51c"; }
+
+.fa-peso-sign::before {
+  content: "\e222"; }
+
+.fa-building-shield::before {
+  content: "\e4d8"; }
+
+.fa-baby::before {
+  content: "\f77c"; }
+
+.fa-users-line::before {
+  content: "\e592"; }
+
+.fa-quote-left::before {
+  content: "\f10d"; }
+
+.fa-quote-left-alt::before {
+  content: "\f10d"; }
+
+.fa-tractor::before {
+  content: "\f722"; }
+
+.fa-trash-arrow-up::before {
+  content: "\f829"; }
+
+.fa-trash-restore::before {
+  content: "\f829"; }
+
+.fa-arrow-down-up-lock::before {
+  content: "\e4b0"; }
+
+.fa-lines-leaning::before {
+  content: "\e51e"; }
+
+.fa-ruler-combined::before {
+  content: "\f546"; }
+
+.fa-copyright::before {
+  content: "\f1f9"; }
+
+.fa-equals::before {
+  content: "\3d"; }
+
+.fa-blender::before {
+  content: "\f517"; }
+
+.fa-teeth::before {
+  content: "\f62e"; }
+
+.fa-shekel-sign::before {
+  content: "\f20b"; }
+
+.fa-ils::before {
+  content: "\f20b"; }
+
+.fa-shekel::before {
+  content: "\f20b"; }
+
+.fa-sheqel::before {
+  content: "\f20b"; }
+
+.fa-sheqel-sign::before {
+  content: "\f20b"; }
+
+.fa-map::before {
+  content: "\f279"; }
+
+.fa-rocket::before {
+  content: "\f135"; }
+
+.fa-photo-film::before {
+  content: "\f87c"; }
+
+.fa-photo-video::before {
+  content: "\f87c"; }
+
+.fa-folder-minus::before {
+  content: "\f65d"; }
+
+.fa-store::before {
+  content: "\f54e"; }
+
+.fa-arrow-trend-up::before {
+  content: "\e098"; }
+
+.fa-plug-circle-minus::before {
+  content: "\e55e"; }
+
+.fa-sign-hanging::before {
+  content: "\f4d9"; }
+
+.fa-sign::before {
+  content: "\f4d9"; }
+
+.fa-bezier-curve::before {
+  content: "\f55b"; }
+
+.fa-bell-slash::before {
+  content: "\f1f6"; }
+
+.fa-tablet::before {
+  content: "\f3fb"; }
+
+.fa-tablet-android::before {
+  content: "\f3fb"; }
+
+.fa-school-flag::before {
+  content: "\e56e"; }
+
+.fa-fill::before {
+  content: "\f575"; }
+
+.fa-angle-up::before {
+  content: "\f106"; }
+
+.fa-drumstick-bite::before {
+  content: "\f6d7"; }
+
+.fa-holly-berry::before {
+  content: "\f7aa"; }
+
+.fa-chevron-left::before {
+  content: "\f053"; }
+
+.fa-bacteria::before {
+  content: "\e059"; }
+
+.fa-hand-lizard::before {
+  content: "\f258"; }
+
+.fa-notdef::before {
+  content: "\e1fe"; }
+
+.fa-disease::before {
+  content: "\f7fa"; }
+
+.fa-briefcase-medical::before {
+  content: "\f469"; }
+
+.fa-genderless::before {
+  content: "\f22d"; }
+
+.fa-chevron-right::before {
+  content: "\f054"; }
+
+.fa-retweet::before {
+  content: "\f079"; }
+
+.fa-car-rear::before {
+  content: "\f5de"; }
+
+.fa-car-alt::before {
+  content: "\f5de"; }
+
+.fa-pump-soap::before {
+  content: "\e06b"; }
+
+.fa-video-slash::before {
+  content: "\f4e2"; }
+
+.fa-battery-quarter::before {
+  content: "\f243"; }
+
+.fa-battery-2::before {
+  content: "\f243"; }
+
+.fa-radio::before {
+  content: "\f8d7"; }
+
+.fa-baby-carriage::before {
+  content: "\f77d"; }
+
+.fa-carriage-baby::before {
+  content: "\f77d"; }
+
+.fa-traffic-light::before {
+  content: "\f637"; }
+
+.fa-thermometer::before {
+  content: "\f491"; }
+
+.fa-vr-cardboard::before {
+  content: "\f729"; }
+
+.fa-hand-middle-finger::before {
+  content: "\f806"; }
+
+.fa-percent::before {
+  content: "\25"; }
+
+.fa-percentage::before {
+  content: "\25"; }
+
+.fa-truck-moving::before {
+  content: "\f4df"; }
+
+.fa-glass-water-droplet::before {
+  content: "\e4f5"; }
+
+.fa-display::before {
+  content: "\e163"; }
+
+.fa-face-smile::before {
+  content: "\f118"; }
+
+.fa-smile::before {
+  content: "\f118"; }
+
+.fa-thumbtack::before {
+  content: "\f08d"; }
+
+.fa-thumb-tack::before {
+  content: "\f08d"; }
+
+.fa-trophy::before {
+  content: "\f091"; }
+
+.fa-person-praying::before {
+  content: "\f683"; }
+
+.fa-pray::before {
+  content: "\f683"; }
+
+.fa-hammer::before {
+  content: "\f6e3"; }
+
+.fa-hand-peace::before {
+  content: "\f25b"; }
+
+.fa-rotate::before {
+  content: "\f2f1"; }
+
+.fa-sync-alt::before {
+  content: "\f2f1"; }
+
+.fa-spinner::before {
+  content: "\f110"; }
+
+.fa-robot::before {
+  content: "\f544"; }
+
+.fa-peace::before {
+  content: "\f67c"; }
+
+.fa-gears::before {
+  content: "\f085"; }
+
+.fa-cogs::before {
+  content: "\f085"; }
+
+.fa-warehouse::before {
+  content: "\f494"; }
+
+.fa-arrow-up-right-dots::before {
+  content: "\e4b7"; }
+
+.fa-splotch::before {
+  content: "\f5bc"; }
+
+.fa-face-grin-hearts::before {
+  content: "\f584"; }
+
+.fa-grin-hearts::before {
+  content: "\f584"; }
+
+.fa-dice-four::before {
+  content: "\f524"; }
+
+.fa-sim-card::before {
+  content: "\f7c4"; }
+
+.fa-transgender::before {
+  content: "\f225"; }
+
+.fa-transgender-alt::before {
+  content: "\f225"; }
+
+.fa-mercury::before {
+  content: "\f223"; }
+
+.fa-arrow-turn-down::before {
+  content: "\f149"; }
+
+.fa-level-down::before {
+  content: "\f149"; }
+
+.fa-person-falling-burst::before {
+  content: "\e547"; }
+
+.fa-award::before {
+  content: "\f559"; }
+
+.fa-ticket-simple::before {
+  content: "\f3ff"; }
+
+.fa-ticket-alt::before {
+  content: "\f3ff"; }
+
+.fa-building::before {
+  content: "\f1ad"; }
+
+.fa-angles-left::before {
+  content: "\f100"; }
+
+.fa-angle-double-left::before {
+  content: "\f100"; }
+
+.fa-qrcode::before {
+  content: "\f029"; }
+
+.fa-clock-rotate-left::before {
+  content: "\f1da"; }
+
+.fa-history::before {
+  content: "\f1da"; }
+
+.fa-face-grin-beam-sweat::before {
+  content: "\f583"; }
+
+.fa-grin-beam-sweat::before {
+  content: "\f583"; }
+
+.fa-file-export::before {
+  content: "\f56e"; }
+
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+  content: "\f56e"; }
+
+.fa-shield::before {
+  content: "\f132"; }
+
+.fa-shield-blank::before {
+  content: "\f132"; }
+
+.fa-arrow-up-short-wide::before {
+  content: "\f885"; }
+
+.fa-sort-amount-up-alt::before {
+  content: "\f885"; }
+
+.fa-house-medical::before {
+  content: "\e3b2"; }
+
+.fa-golf-ball-tee::before {
+  content: "\f450"; }
+
+.fa-golf-ball::before {
+  content: "\f450"; }
+
+.fa-circle-chevron-left::before {
+  content: "\f137"; }
+
+.fa-chevron-circle-left::before {
+  content: "\f137"; }
+
+.fa-house-chimney-window::before {
+  content: "\e00d"; }
+
+.fa-pen-nib::before {
+  content: "\f5ad"; }
+
+.fa-tent-arrow-turn-left::before {
+  content: "\e580"; }
+
+.fa-tents::before {
+  content: "\e582"; }
+
+.fa-wand-magic::before {
+  content: "\f0d0"; }
+
+.fa-magic::before {
+  content: "\f0d0"; }
+
+.fa-dog::before {
+  content: "\f6d3"; }
+
+.fa-carrot::before {
+  content: "\f787"; }
+
+.fa-moon::before {
+  content: "\f186"; }
+
+.fa-wine-glass-empty::before {
+  content: "\f5ce"; }
+
+.fa-wine-glass-alt::before {
+  content: "\f5ce"; }
+
+.fa-cheese::before {
+  content: "\f7ef"; }
+
+.fa-yin-yang::before {
+  content: "\f6ad"; }
+
+.fa-music::before {
+  content: "\f001"; }
+
+.fa-code-commit::before {
+  content: "\f386"; }
+
+.fa-temperature-low::before {
+  content: "\f76b"; }
+
+.fa-person-biking::before {
+  content: "\f84a"; }
+
+.fa-biking::before {
+  content: "\f84a"; }
+
+.fa-broom::before {
+  content: "\f51a"; }
+
+.fa-shield-heart::before {
+  content: "\e574"; }
+
+.fa-gopuram::before {
+  content: "\f664"; }
+
+.fa-earth-oceania::before {
+  content: "\e47b"; }
+
+.fa-globe-oceania::before {
+  content: "\e47b"; }
+
+.fa-square-xmark::before {
+  content: "\f2d3"; }
+
+.fa-times-square::before {
+  content: "\f2d3"; }
+
+.fa-xmark-square::before {
+  content: "\f2d3"; }
+
+.fa-hashtag::before {
+  content: "\23"; }
+
+.fa-up-right-and-down-left-from-center::before {
+  content: "\f424"; }
+
+.fa-expand-alt::before {
+  content: "\f424"; }
+
+.fa-oil-can::before {
+  content: "\f613"; }
+
+.fa-t::before {
+  content: "\54"; }
+
+.fa-hippo::before {
+  content: "\f6ed"; }
+
+.fa-chart-column::before {
+  content: "\e0e3"; }
+
+.fa-infinity::before {
+  content: "\f534"; }
+
+.fa-vial-circle-check::before {
+  content: "\e596"; }
+
+.fa-person-arrow-down-to-line::before {
+  content: "\e538"; }
+
+.fa-voicemail::before {
+  content: "\f897"; }
+
+.fa-fan::before {
+  content: "\f863"; }
+
+.fa-person-walking-luggage::before {
+  content: "\e554"; }
+
+.fa-up-down::before {
+  content: "\f338"; }
+
+.fa-arrows-alt-v::before {
+  content: "\f338"; }
+
+.fa-cloud-moon-rain::before {
+  content: "\f73c"; }
+
+.fa-calendar::before {
+  content: "\f133"; }
+
+.fa-trailer::before {
+  content: "\e041"; }
+
+.fa-bahai::before {
+  content: "\f666"; }
+
+.fa-haykal::before {
+  content: "\f666"; }
+
+.fa-sd-card::before {
+  content: "\f7c2"; }
+
+.fa-dragon::before {
+  content: "\f6d5"; }
+
+.fa-shoe-prints::before {
+  content: "\f54b"; }
+
+.fa-circle-plus::before {
+  content: "\f055"; }
+
+.fa-plus-circle::before {
+  content: "\f055"; }
+
+.fa-face-grin-tongue-wink::before {
+  content: "\f58b"; }
+
+.fa-grin-tongue-wink::before {
+  content: "\f58b"; }
+
+.fa-hand-holding::before {
+  content: "\f4bd"; }
+
+.fa-plug-circle-exclamation::before {
+  content: "\e55d"; }
+
+.fa-link-slash::before {
+  content: "\f127"; }
+
+.fa-chain-broken::before {
+  content: "\f127"; }
+
+.fa-chain-slash::before {
+  content: "\f127"; }
+
+.fa-unlink::before {
+  content: "\f127"; }
+
+.fa-clone::before {
+  content: "\f24d"; }
+
+.fa-person-walking-arrow-loop-left::before {
+  content: "\e551"; }
+
+.fa-arrow-up-z-a::before {
+  content: "\f882"; }
+
+.fa-sort-alpha-up-alt::before {
+  content: "\f882"; }
+
+.fa-fire-flame-curved::before {
+  content: "\f7e4"; }
+
+.fa-fire-alt::before {
+  content: "\f7e4"; }
+
+.fa-tornado::before {
+  content: "\f76f"; }
+
+.fa-file-circle-plus::before {
+  content: "\e494"; }
+
+.fa-book-quran::before {
+  content: "\f687"; }
+
+.fa-quran::before {
+  content: "\f687"; }
+
+.fa-anchor::before {
+  content: "\f13d"; }
+
+.fa-border-all::before {
+  content: "\f84c"; }
+
+.fa-face-angry::before {
+  content: "\f556"; }
+
+.fa-angry::before {
+  content: "\f556"; }
+
+.fa-cookie-bite::before {
+  content: "\f564"; }
+
+.fa-arrow-trend-down::before {
+  content: "\e097"; }
+
+.fa-rss::before {
+  content: "\f09e"; }
+
+.fa-feed::before {
+  content: "\f09e"; }
+
+.fa-draw-polygon::before {
+  content: "\f5ee"; }
+
+.fa-scale-balanced::before {
+  content: "\f24e"; }
+
+.fa-balance-scale::before {
+  content: "\f24e"; }
+
+.fa-gauge-simple-high::before {
+  content: "\f62a"; }
+
+.fa-tachometer::before {
+  content: "\f62a"; }
+
+.fa-tachometer-fast::before {
+  content: "\f62a"; }
+
+.fa-shower::before {
+  content: "\f2cc"; }
+
+.fa-desktop::before {
+  content: "\f390"; }
+
+.fa-desktop-alt::before {
+  content: "\f390"; }
+
+.fa-m::before {
+  content: "\4d"; }
+
+.fa-table-list::before {
+  content: "\f00b"; }
+
+.fa-th-list::before {
+  content: "\f00b"; }
+
+.fa-comment-sms::before {
+  content: "\f7cd"; }
+
+.fa-sms::before {
+  content: "\f7cd"; }
+
+.fa-book::before {
+  content: "\f02d"; }
+
+.fa-user-plus::before {
+  content: "\f234"; }
+
+.fa-check::before {
+  content: "\f00c"; }
+
+.fa-battery-three-quarters::before {
+  content: "\f241"; }
+
+.fa-battery-4::before {
+  content: "\f241"; }
+
+.fa-house-circle-check::before {
+  content: "\e509"; }
+
+.fa-angle-left::before {
+  content: "\f104"; }
+
+.fa-diagram-successor::before {
+  content: "\e47a"; }
+
+.fa-truck-arrow-right::before {
+  content: "\e58b"; }
+
+.fa-arrows-split-up-and-left::before {
+  content: "\e4bc"; }
+
+.fa-hand-fist::before {
+  content: "\f6de"; }
+
+.fa-fist-raised::before {
+  content: "\f6de"; }
+
+.fa-cloud-moon::before {
+  content: "\f6c3"; }
+
+.fa-briefcase::before {
+  content: "\f0b1"; }
+
+.fa-person-falling::before {
+  content: "\e546"; }
+
+.fa-image-portrait::before {
+  content: "\f3e0"; }
+
+.fa-portrait::before {
+  content: "\f3e0"; }
+
+.fa-user-tag::before {
+  content: "\f507"; }
+
+.fa-rug::before {
+  content: "\e569"; }
+
+.fa-earth-europe::before {
+  content: "\f7a2"; }
+
+.fa-globe-europe::before {
+  content: "\f7a2"; }
+
+.fa-cart-flatbed-suitcase::before {
+  content: "\f59d"; }
+
+.fa-luggage-cart::before {
+  content: "\f59d"; }
+
+.fa-rectangle-xmark::before {
+  content: "\f410"; }
+
+.fa-rectangle-times::before {
+  content: "\f410"; }
+
+.fa-times-rectangle::before {
+  content: "\f410"; }
+
+.fa-window-close::before {
+  content: "\f410"; }
+
+.fa-baht-sign::before {
+  content: "\e0ac"; }
+
+.fa-book-open::before {
+  content: "\f518"; }
+
+.fa-book-journal-whills::before {
+  content: "\f66a"; }
+
+.fa-journal-whills::before {
+  content: "\f66a"; }
+
+.fa-handcuffs::before {
+  content: "\e4f8"; }
+
+.fa-triangle-exclamation::before {
+  content: "\f071"; }
+
+.fa-exclamation-triangle::before {
+  content: "\f071"; }
+
+.fa-warning::before {
+  content: "\f071"; }
+
+.fa-database::before {
+  content: "\f1c0"; }
+
+.fa-share::before {
+  content: "\f064"; }
+
+.fa-arrow-turn-right::before {
+  content: "\f064"; }
+
+.fa-mail-forward::before {
+  content: "\f064"; }
+
+.fa-bottle-droplet::before {
+  content: "\e4c4"; }
+
+.fa-mask-face::before {
+  content: "\e1d7"; }
+
+.fa-hill-rockslide::before {
+  content: "\e508"; }
+
+.fa-right-left::before {
+  content: "\f362"; }
+
+.fa-exchange-alt::before {
+  content: "\f362"; }
+
+.fa-paper-plane::before {
+  content: "\f1d8"; }
+
+.fa-road-circle-exclamation::before {
+  content: "\e565"; }
+
+.fa-dungeon::before {
+  content: "\f6d9"; }
+
+.fa-align-right::before {
+  content: "\f038"; }
+
+.fa-money-bill-1-wave::before {
+  content: "\f53b"; }
+
+.fa-money-bill-wave-alt::before {
+  content: "\f53b"; }
+
+.fa-life-ring::before {
+  content: "\f1cd"; }
+
+.fa-hands::before {
+  content: "\f2a7"; }
+
+.fa-sign-language::before {
+  content: "\f2a7"; }
+
+.fa-signing::before {
+  content: "\f2a7"; }
+
+.fa-calendar-day::before {
+  content: "\f783"; }
+
+.fa-water-ladder::before {
+  content: "\f5c5"; }
+
+.fa-ladder-water::before {
+  content: "\f5c5"; }
+
+.fa-swimming-pool::before {
+  content: "\f5c5"; }
+
+.fa-arrows-up-down::before {
+  content: "\f07d"; }
+
+.fa-arrows-v::before {
+  content: "\f07d"; }
+
+.fa-face-grimace::before {
+  content: "\f57f"; }
+
+.fa-grimace::before {
+  content: "\f57f"; }
+
+.fa-wheelchair-move::before {
+  content: "\e2ce"; }
+
+.fa-wheelchair-alt::before {
+  content: "\e2ce"; }
+
+.fa-turn-down::before {
+  content: "\f3be"; }
+
+.fa-level-down-alt::before {
+  content: "\f3be"; }
+
+.fa-person-walking-arrow-right::before {
+  content: "\e552"; }
+
+.fa-square-envelope::before {
+  content: "\f199"; }
+
+.fa-envelope-square::before {
+  content: "\f199"; }
+
+.fa-dice::before {
+  content: "\f522"; }
+
+.fa-bowling-ball::before {
+  content: "\f436"; }
+
+.fa-brain::before {
+  content: "\f5dc"; }
+
+.fa-bandage::before {
+  content: "\f462"; }
+
+.fa-band-aid::before {
+  content: "\f462"; }
+
+.fa-calendar-minus::before {
+  content: "\f272"; }
+
+.fa-circle-xmark::before {
+  content: "\f057"; }
+
+.fa-times-circle::before {
+  content: "\f057"; }
+
+.fa-xmark-circle::before {
+  content: "\f057"; }
+
+.fa-gifts::before {
+  content: "\f79c"; }
+
+.fa-hotel::before {
+  content: "\f594"; }
+
+.fa-earth-asia::before {
+  content: "\f57e"; }
+
+.fa-globe-asia::before {
+  content: "\f57e"; }
+
+.fa-id-card-clip::before {
+  content: "\f47f"; }
+
+.fa-id-card-alt::before {
+  content: "\f47f"; }
+
+.fa-magnifying-glass-plus::before {
+  content: "\f00e"; }
+
+.fa-search-plus::before {
+  content: "\f00e"; }
+
+.fa-thumbs-up::before {
+  content: "\f164"; }
+
+.fa-user-clock::before {
+  content: "\f4fd"; }
+
+.fa-hand-dots::before {
+  content: "\f461"; }
+
+.fa-allergies::before {
+  content: "\f461"; }
+
+.fa-file-invoice::before {
+  content: "\f570"; }
+
+.fa-window-minimize::before {
+  content: "\f2d1"; }
+
+.fa-mug-saucer::before {
+  content: "\f0f4"; }
+
+.fa-coffee::before {
+  content: "\f0f4"; }
+
+.fa-brush::before {
+  content: "\f55d"; }
+
+.fa-mask::before {
+  content: "\f6fa"; }
+
+.fa-magnifying-glass-minus::before {
+  content: "\f010"; }
+
+.fa-search-minus::before {
+  content: "\f010"; }
+
+.fa-ruler-vertical::before {
+  content: "\f548"; }
+
+.fa-user-large::before {
+  content: "\f406"; }
+
+.fa-user-alt::before {
+  content: "\f406"; }
+
+.fa-train-tram::before {
+  content: "\e5b4"; }
+
+.fa-user-nurse::before {
+  content: "\f82f"; }
+
+.fa-syringe::before {
+  content: "\f48e"; }
+
+.fa-cloud-sun::before {
+  content: "\f6c4"; }
+
+.fa-stopwatch-20::before {
+  content: "\e06f"; }
+
+.fa-square-full::before {
+  content: "\f45c"; }
+
+.fa-magnet::before {
+  content: "\f076"; }
+
+.fa-jar::before {
+  content: "\e516"; }
+
+.fa-note-sticky::before {
+  content: "\f249"; }
+
+.fa-sticky-note::before {
+  content: "\f249"; }
+
+.fa-bug-slash::before {
+  content: "\e490"; }
+
+.fa-arrow-up-from-water-pump::before {
+  content: "\e4b6"; }
+
+.fa-bone::before {
+  content: "\f5d7"; }
+
+.fa-user-injured::before {
+  content: "\f728"; }
+
+.fa-face-sad-tear::before {
+  content: "\f5b4"; }
+
+.fa-sad-tear::before {
+  content: "\f5b4"; }
+
+.fa-plane::before {
+  content: "\f072"; }
+
+.fa-tent-arrows-down::before {
+  content: "\e581"; }
+
+.fa-exclamation::before {
+  content: "\21"; }
+
+.fa-arrows-spin::before {
+  content: "\e4bb"; }
+
+.fa-print::before {
+  content: "\f02f"; }
+
+.fa-turkish-lira-sign::before {
+  content: "\e2bb"; }
+
+.fa-try::before {
+  content: "\e2bb"; }
+
+.fa-turkish-lira::before {
+  content: "\e2bb"; }
+
+.fa-dollar-sign::before {
+  content: "\24"; }
+
+.fa-dollar::before {
+  content: "\24"; }
+
+.fa-usd::before {
+  content: "\24"; }
+
+.fa-x::before {
+  content: "\58"; }
+
+.fa-magnifying-glass-dollar::before {
+  content: "\f688"; }
+
+.fa-search-dollar::before {
+  content: "\f688"; }
+
+.fa-users-gear::before {
+  content: "\f509"; }
+
+.fa-users-cog::before {
+  content: "\f509"; }
+
+.fa-person-military-pointing::before {
+  content: "\e54a"; }
+
+.fa-building-columns::before {
+  content: "\f19c"; }
+
+.fa-bank::before {
+  content: "\f19c"; }
+
+.fa-institution::before {
+  content: "\f19c"; }
+
+.fa-museum::before {
+  content: "\f19c"; }
+
+.fa-university::before {
+  content: "\f19c"; }
+
+.fa-umbrella::before {
+  content: "\f0e9"; }
+
+.fa-trowel::before {
+  content: "\e589"; }
+
+.fa-d::before {
+  content: "\44"; }
+
+.fa-stapler::before {
+  content: "\e5af"; }
+
+.fa-masks-theater::before {
+  content: "\f630"; }
+
+.fa-theater-masks::before {
+  content: "\f630"; }
+
+.fa-kip-sign::before {
+  content: "\e1c4"; }
+
+.fa-hand-point-left::before {
+  content: "\f0a5"; }
+
+.fa-handshake-simple::before {
+  content: "\f4c6"; }
+
+.fa-handshake-alt::before {
+  content: "\f4c6"; }
+
+.fa-jet-fighter::before {
+  content: "\f0fb"; }
+
+.fa-fighter-jet::before {
+  content: "\f0fb"; }
+
+.fa-square-share-nodes::before {
+  content: "\f1e1"; }
+
+.fa-share-alt-square::before {
+  content: "\f1e1"; }
+
+.fa-barcode::before {
+  content: "\f02a"; }
+
+.fa-plus-minus::before {
+  content: "\e43c"; }
+
+.fa-video::before {
+  content: "\f03d"; }
+
+.fa-video-camera::before {
+  content: "\f03d"; }
+
+.fa-graduation-cap::before {
+  content: "\f19d"; }
+
+.fa-mortar-board::before {
+  content: "\f19d"; }
+
+.fa-hand-holding-medical::before {
+  content: "\e05c"; }
+
+.fa-person-circle-check::before {
+  content: "\e53e"; }
+
+.fa-turn-up::before {
+  content: "\f3bf"; }
+
+.fa-level-up-alt::before {
+  content: "\f3bf"; }
+
+.sr-only,
+.fa-sr-only {
+  position: absolute;
+  width: 1px;
+  height: 1px;
+  padding: 0;
+  margin: -1px;
+  overflow: hidden;
+  clip: rect(0, 0, 0, 0);
+  white-space: nowrap;
+  border-width: 0; }
+
+.sr-only-focusable:not(:focus),
+.fa-sr-only-focusable:not(:focus) {
+  position: absolute;
+  width: 1px;
+  height: 1px;
+  padding: 0;
+  margin: -1px;
+  overflow: hidden;
+  clip: rect(0, 0, 0, 0);
+  white-space: nowrap;
+  border-width: 0; }
+:root, :host {
+  --fa-style-family-brands: 'Font Awesome 6 Brands';
+  --fa-font-brands: normal 400 1em/1 'Font Awesome 6 Brands'; }
+
+@font-face {
+  font-family: 'Font Awesome 6 Brands';
+  font-style: normal;
+  font-weight: 400;
+  font-display: block;
+  src: url("../webfonts/fa-brands-400.woff2") format("woff2"), url("../webfonts/fa-brands-400.ttf") format("truetype"); }
+
+.fab,
+.fa-brands {
+  font-weight: 400; }
+
+.fa-monero:before {
+  content: "\f3d0"; }
+
+.fa-hooli:before {
+  content: "\f427"; }
+
+.fa-yelp:before {
+  content: "\f1e9"; }
+
+.fa-cc-visa:before {
+  content: "\f1f0"; }
+
+.fa-lastfm:before {
+  content: "\f202"; }
+
+.fa-shopware:before {
+  content: "\f5b5"; }
+
+.fa-creative-commons-nc:before {
+  content: "\f4e8"; }
+
+.fa-aws:before {
+  content: "\f375"; }
+
+.fa-redhat:before {
+  content: "\f7bc"; }
+
+.fa-yoast:before {
+  content: "\f2b1"; }
+
+.fa-cloudflare:before {
+  content: "\e07d"; }
+
+.fa-ups:before {
+  content: "\f7e0"; }
+
+.fa-wpexplorer:before {
+  content: "\f2de"; }
+
+.fa-dyalog:before {
+  content: "\f399"; }
+
+.fa-bity:before {
+  content: "\f37a"; }
+
+.fa-stackpath:before {
+  content: "\f842"; }
+
+.fa-buysellads:before {
+  content: "\f20d"; }
+
+.fa-first-order:before {
+  content: "\f2b0"; }
+
+.fa-modx:before {
+  content: "\f285"; }
+
+.fa-guilded:before {
+  content: "\e07e"; }
+
+.fa-vnv:before {
+  content: "\f40b"; }
+
+.fa-square-js:before {
+  content: "\f3b9"; }
+
+.fa-js-square:before {
+  content: "\f3b9"; }
+
+.fa-microsoft:before {
+  content: "\f3ca"; }
+
+.fa-qq:before {
+  content: "\f1d6"; }
+
+.fa-orcid:before {
+  content: "\f8d2"; }
+
+.fa-java:before {
+  content: "\f4e4"; }
+
+.fa-invision:before {
+  content: "\f7b0"; }
+
+.fa-creative-commons-pd-alt:before {
+  content: "\f4ed"; }
+
+.fa-centercode:before {
+  content: "\f380"; }
+
+.fa-glide-g:before {
+  content: "\f2a6"; }
+
+.fa-drupal:before {
+  content: "\f1a9"; }
+
+.fa-hire-a-helper:before {
+  content: "\f3b0"; }
+
+.fa-creative-commons-by:before {
+  content: "\f4e7"; }
+
+.fa-unity:before {
+  content: "\e049"; }
+
+.fa-whmcs:before {
+  content: "\f40d"; }
+
+.fa-rocketchat:before {
+  content: "\f3e8"; }
+
+.fa-vk:before {
+  content: "\f189"; }
+
+.fa-untappd:before {
+  content: "\f405"; }
+
+.fa-mailchimp:before {
+  content: "\f59e"; }
+
+.fa-css3-alt:before {
+  content: "\f38b"; }
+
+.fa-square-reddit:before {
+  content: "\f1a2"; }
+
+.fa-reddit-square:before {
+  content: "\f1a2"; }
+
+.fa-vimeo-v:before {
+  content: "\f27d"; }
+
+.fa-contao:before {
+  content: "\f26d"; }
+
+.fa-square-font-awesome:before {
+  content: "\e5ad"; }
+
+.fa-deskpro:before {
+  content: "\f38f"; }
+
+.fa-sistrix:before {
+  content: "\f3ee"; }
+
+.fa-square-instagram:before {
+  content: "\e055"; }
+
+.fa-instagram-square:before {
+  content: "\e055"; }
+
+.fa-battle-net:before {
+  content: "\f835"; }
+
+.fa-the-red-yeti:before {
+  content: "\f69d"; }
+
+.fa-square-hacker-news:before {
+  content: "\f3af"; }
+
+.fa-hacker-news-square:before {
+  content: "\f3af"; }
+
+.fa-edge:before {
+  content: "\f282"; }
+
+.fa-threads:before {
+  content: "\e618"; }
+
+.fa-napster:before {
+  content: "\f3d2"; }
+
+.fa-square-snapchat:before {
+  content: "\f2ad"; }
+
+.fa-snapchat-square:before {
+  content: "\f2ad"; }
+
+.fa-google-plus-g:before {
+  content: "\f0d5"; }
+
+.fa-artstation:before {
+  content: "\f77a"; }
+
+.fa-markdown:before {
+  content: "\f60f"; }
+
+.fa-sourcetree:before {
+  content: "\f7d3"; }
+
+.fa-google-plus:before {
+  content: "\f2b3"; }
+
+.fa-diaspora:before {
+  content: "\f791"; }
+
+.fa-foursquare:before {
+  content: "\f180"; }
+
+.fa-stack-overflow:before {
+  content: "\f16c"; }
+
+.fa-github-alt:before {
+  content: "\f113"; }
+
+.fa-phoenix-squadron:before {
+  content: "\f511"; }
+
+.fa-pagelines:before {
+  content: "\f18c"; }
+
+.fa-algolia:before {
+  content: "\f36c"; }
+
+.fa-red-river:before {
+  content: "\f3e3"; }
+
+.fa-creative-commons-sa:before {
+  content: "\f4ef"; }
+
+.fa-safari:before {
+  content: "\f267"; }
+
+.fa-google:before {
+  content: "\f1a0"; }
+
+.fa-square-font-awesome-stroke:before {
+  content: "\f35c"; }
+
+.fa-font-awesome-alt:before {
+  content: "\f35c"; }
+
+.fa-atlassian:before {
+  content: "\f77b"; }
+
+.fa-linkedin-in:before {
+  content: "\f0e1"; }
+
+.fa-digital-ocean:before {
+  content: "\f391"; }
+
+.fa-nimblr:before {
+  content: "\f5a8"; }
+
+.fa-chromecast:before {
+  content: "\f838"; }
+
+.fa-evernote:before {
+  content: "\f839"; }
+
+.fa-hacker-news:before {
+  content: "\f1d4"; }
+
+.fa-creative-commons-sampling:before {
+  content: "\f4f0"; }
+
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+  content: "\f5cf"; }
+
+.fa-square-behance:before {
+  content: "\f1b5"; }
+
+.fa-behance-square:before {
+  content: "\f1b5"; }
+
+.fa-supple:before {
+  content: "\f3f9"; }
+
+.fa-rebel:before {
+  content: "\f1d0"; }
+
+.fa-css3:before {
+  content: "\f13c"; }
+
+.fa-staylinked:before {
+  content: "\f3f5"; }
+
+.fa-kaggle:before {
+  content: "\f5fa"; }
+
+.fa-space-awesome:before {
+  content: "\e5ac"; }
+
+.fa-deviantart:before {
+  content: "\f1bd"; }
+
+.fa-cpanel:before {
+  content: "\f388"; }
+
+.fa-goodreads-g:before {
+  content: "\f3a9"; }
+
+.fa-square-git:before {
+  content: "\f1d2"; }
+
+.fa-git-square:before {
+  content: "\f1d2"; }
+
+.fa-square-tumblr:before {
+  content: "\f174"; }
+
+.fa-tumblr-square:before {
+  content: "\f174"; }
+
+.fa-trello:before {
+  content: "\f181"; }
+
+.fa-creative-commons-nc-jp:before {
+  content: "\f4ea"; }
+
+.fa-get-pocket:before {
+  content: "\f265"; }
+
+.fa-perbyte:before {
+  content: "\e083"; }
+
+.fa-grunt:before {
+  content: "\f3ad"; }
+
+.fa-weebly:before {
+  content: "\f5cc"; }
+
+.fa-connectdevelop:before {
+  content: "\f20e"; }
+
+.fa-leanpub:before {
+  content: "\f212"; }
+
+.fa-black-tie:before {
+  content: "\f27e"; }
+
+.fa-themeco:before {
+  content: "\f5c6"; }
+
+.fa-python:before {
+  content: "\f3e2"; }
+
+.fa-android:before {
+  content: "\f17b"; }
+
+.fa-bots:before {
+  content: "\e340"; }
+
+.fa-free-code-camp:before {
+  content: "\f2c5"; }
+
+.fa-hornbill:before {
+  content: "\f592"; }
+
+.fa-js:before {
+  content: "\f3b8"; }
+
+.fa-ideal:before {
+  content: "\e013"; }
+
+.fa-git:before {
+  content: "\f1d3"; }
+
+.fa-dev:before {
+  content: "\f6cc"; }
+
+.fa-sketch:before {
+  content: "\f7c6"; }
+
+.fa-yandex-international:before {
+  content: "\f414"; }
+
+.fa-cc-amex:before {
+  content: "\f1f3"; }
+
+.fa-uber:before {
+  content: "\f402"; }
+
+.fa-github:before {
+  content: "\f09b"; }
+
+.fa-php:before {
+  content: "\f457"; }
+
+.fa-alipay:before {
+  content: "\f642"; }
+
+.fa-youtube:before {
+  content: "\f167"; }
+
+.fa-skyatlas:before {
+  content: "\f216"; }
+
+.fa-firefox-browser:before {
+  content: "\e007"; }
+
+.fa-replyd:before {
+  content: "\f3e6"; }
+
+.fa-suse:before {
+  content: "\f7d6"; }
+
+.fa-jenkins:before {
+  content: "\f3b6"; }
+
+.fa-twitter:before {
+  content: "\f099"; }
+
+.fa-rockrms:before {
+  content: "\f3e9"; }
+
+.fa-pinterest:before {
+  content: "\f0d2"; }
+
+.fa-buffer:before {
+  content: "\f837"; }
+
+.fa-npm:before {
+  content: "\f3d4"; }
+
+.fa-yammer:before {
+  content: "\f840"; }
+
+.fa-btc:before {
+  content: "\f15a"; }
+
+.fa-dribbble:before {
+  content: "\f17d"; }
+
+.fa-stumbleupon-circle:before {
+  content: "\f1a3"; }
+
+.fa-internet-explorer:before {
+  content: "\f26b"; }
+
+.fa-stubber:before {
+  content: "\e5c7"; }
+
+.fa-telegram:before {
+  content: "\f2c6"; }
+
+.fa-telegram-plane:before {
+  content: "\f2c6"; }
+
+.fa-old-republic:before {
+  content: "\f510"; }
+
+.fa-odysee:before {
+  content: "\e5c6"; }
+
+.fa-square-whatsapp:before {
+  content: "\f40c"; }
+
+.fa-whatsapp-square:before {
+  content: "\f40c"; }
+
+.fa-node-js:before {
+  content: "\f3d3"; }
+
+.fa-edge-legacy:before {
+  content: "\e078"; }
+
+.fa-slack:before {
+  content: "\f198"; }
+
+.fa-slack-hash:before {
+  content: "\f198"; }
+
+.fa-medrt:before {
+  content: "\f3c8"; }
+
+.fa-usb:before {
+  content: "\f287"; }
+
+.fa-tumblr:before {
+  content: "\f173"; }
+
+.fa-vaadin:before {
+  content: "\f408"; }
+
+.fa-quora:before {
+  content: "\f2c4"; }
+
+.fa-square-x-twitter:before {
+  content: "\e61a"; }
+
+.fa-reacteurope:before {
+  content: "\f75d"; }
+
+.fa-medium:before {
+  content: "\f23a"; }
+
+.fa-medium-m:before {
+  content: "\f23a"; }
+
+.fa-amilia:before {
+  content: "\f36d"; }
+
+.fa-mixcloud:before {
+  content: "\f289"; }
+
+.fa-flipboard:before {
+  content: "\f44d"; }
+
+.fa-viacoin:before {
+  content: "\f237"; }
+
+.fa-critical-role:before {
+  content: "\f6c9"; }
+
+.fa-sitrox:before {
+  content: "\e44a"; }
+
+.fa-discourse:before {
+  content: "\f393"; }
+
+.fa-joomla:before {
+  content: "\f1aa"; }
+
+.fa-mastodon:before {
+  content: "\f4f6"; }
+
+.fa-airbnb:before {
+  content: "\f834"; }
+
+.fa-wolf-pack-battalion:before {
+  content: "\f514"; }
+
+.fa-buy-n-large:before {
+  content: "\f8a6"; }
+
+.fa-gulp:before {
+  content: "\f3ae"; }
+
+.fa-creative-commons-sampling-plus:before {
+  content: "\f4f1"; }
+
+.fa-strava:before {
+  content: "\f428"; }
+
+.fa-ember:before {
+  content: "\f423"; }
+
+.fa-canadian-maple-leaf:before {
+  content: "\f785"; }
+
+.fa-teamspeak:before {
+  content: "\f4f9"; }
+
+.fa-pushed:before {
+  content: "\f3e1"; }
+
+.fa-wordpress-simple:before {
+  content: "\f411"; }
+
+.fa-nutritionix:before {
+  content: "\f3d6"; }
+
+.fa-wodu:before {
+  content: "\e088"; }
+
+.fa-google-pay:before {
+  content: "\e079"; }
+
+.fa-intercom:before {
+  content: "\f7af"; }
+
+.fa-zhihu:before {
+  content: "\f63f"; }
+
+.fa-korvue:before {
+  content: "\f42f"; }
+
+.fa-pix:before {
+  content: "\e43a"; }
+
+.fa-steam-symbol:before {
+  content: "\f3f6"; }
+:root, :host {
+  --fa-style-family-classic: 'Font Awesome 6 Free';
+  --fa-font-regular: normal 400 1em/1 'Font Awesome 6 Free'; }
+
+@font-face {
+  font-family: 'Font Awesome 6 Free';
+  font-style: normal;
+  font-weight: 400;
+  font-display: block;
+  src: url("../webfonts/fa-regular-400.woff2") format("woff2"), url("../webfonts/fa-regular-400.ttf") format("truetype"); }
+
+.far,
+.fa-regular {
+  font-weight: 400; }
+:root, :host {
+  --fa-style-family-classic: 'Font Awesome 6 Free';
+  --fa-font-solid: normal 900 1em/1 'Font Awesome 6 Free'; }
+
+@font-face {
+  font-family: 'Font Awesome 6 Free';
+  font-style: normal;
+  font-weight: 900;
+  font-display: block;
+  src: url("../webfonts/fa-solid-900.woff2") format("woff2"), url("../webfonts/fa-solid-900.ttf") format("truetype"); }
+
+.fas,
+.fa-solid {
+  font-weight: 900; }
+@font-face {
+  font-family: 'Font Awesome 5 Brands';
+  font-display: block;
+  font-weight: 400;
+  src: url("../webfonts/fa-brands-400.woff2") format("woff2"), url("../webfonts/fa-brands-400.ttf") format("truetype"); }
+
+@font-face {
+  font-family: 'Font Awesome 5 Free';
+  font-display: block;
+  font-weight: 900;
+  src: url("../webfonts/fa-solid-900.woff2") format("woff2"), url("../webfonts/fa-solid-900.ttf") format("truetype"); }
+
+@font-face {
+  font-family: 'Font Awesome 5 Free';
+  font-display: block;
+  font-weight: 400;
+  src: url("../webfonts/fa-regular-400.woff2") format("woff2"), url("../webfonts/fa-regular-400.ttf") format("truetype"); }
+@font-face {
+  font-family: 'FontAwesome';
+  font-display: block;
+  src: url("../webfonts/fa-solid-900.woff2") format("woff2"), url("../webfonts/fa-solid-900.ttf") format("truetype"); }
+
+@font-face {
+  font-family: 'FontAwesome';
+  font-display: block;
+  src: url("../webfonts/fa-brands-400.woff2") format("woff2"), url("../webfonts/fa-brands-400.ttf") format("truetype"); }
+
+@font-face {
+  font-family: 'FontAwesome';
+  font-display: block;
+  src: url("../webfonts/fa-regular-400.woff2") format("woff2"), url("../webfonts/fa-regular-400.ttf") format("truetype"); }
+
+@font-face {
+  font-family: 'FontAwesome';
+  font-display: block;
+  src: url("../webfonts/fa-v4compatibility.woff2") format("woff2"), url("../webfonts/fa-v4compatibility.ttf") format("truetype"); }
diff --git a/deps/font-awesome-6.4.2/css/all.min.css b/deps/font-awesome-6.4.2/css/all.min.css
new file mode 100644
index 0000000..6604a06
--- /dev/null
+++ b/deps/font-awesome-6.4.2/css/all.min.css
@@ -0,0 +1,9 @@
+/*!
+ * Font Awesome Free 6.4.2 by @fontawesome - https://fontawesome.com
+ * License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License)
+ * Copyright 2023 Fonticons, Inc.
+ */
+.fa{font-family:var(--fa-style-family,"Font Awesome 6 Free");font-weight:var(--fa-style,900)}.fa,.fa-brands,.fa-classic,.fa-regular,.fa-sharp,.fa-solid,.fab,.far,.fas{-moz-osx-font-smoothing:grayscale;-webkit-font-smoothing:antialiased;display:var(--fa-display,inline-block);font-style:normal;font-variant:normal;line-height:1;text-rendering:auto}.fa-classic,.fa-regular,.fa-solid,.far,.fas{font-family:"Font Awesome 6 Free"}.fa-brands,.fab{font-family:"Font Awesome 6 Brands"}.fa-1x{font-size:1em}.fa-2x{font-size:2em}.fa-3x{font-size:3em}.fa-4x{font-size:4em}.fa-5x{font-size:5em}.fa-6x{font-size:6em}.fa-7x{font-size:7em}.fa-8x{font-size:8em}.fa-9x{font-size:9em}.fa-10x{font-size:10em}.fa-2xs{font-size:.625em;line-height:.1em;vertical-align:.225em}.fa-xs{font-size:.75em;line-height:.08333em;vertical-align:.125em}.fa-sm{font-size:.875em;line-height:.07143em;vertical-align:.05357em}.fa-lg{font-size:1.25em;line-height:.05em;vertical-align:-.075em}.fa-xl{font-size:1.5em;line-height:.04167em;vertical-align:-.125em}.fa-2xl{font-size:2em;line-height:.03125em;vertical-align:-.1875em}.fa-fw{text-align:center;width:1.25em}.fa-ul{list-style-type:none;margin-left:var(--fa-li-margin,2.5em);padding-left:0}.fa-ul>li{position:relative}.fa-li{left:calc(var(--fa-li-width, 2em)*-1);position:absolute;text-align:center;width:var(--fa-li-width,2em);line-height:inherit}.fa-border{border-radius:var(--fa-border-radius,.1em);border:var(--fa-border-width,.08em) var(--fa-border-style,solid) var(--fa-border-color,#eee);padding:var(--fa-border-padding,.2em .25em .15em)}.fa-pull-left{float:left;margin-right:var(--fa-pull-margin,.3em)}.fa-pull-right{float:right;margin-left:var(--fa-pull-margin,.3em)}.fa-beat{-webkit-animation-name:fa-beat;animation-name:fa-beat;-webkit-animation-delay:var(--fa-animation-delay,0s);animation-delay:var(--fa-animation-delay,0s);-webkit-animation-direction:var(--fa-animation-direction,normal);animation-direction:var(--fa-animation-direction,normal);-webkit-animation-duration:var(--fa-animation-duration,1s);animation-duration:var(--fa-animation-duration,1s);-webkit-animation-iteration-count:var(--fa-animation-iteration-count,infinite);animation-iteration-count:var(--fa-animation-iteration-count,infinite);-webkit-animation-timing-function:var(--fa-animation-timing,ease-in-out);animation-timing-function:var(--fa-animation-timing,ease-in-out)}.fa-bounce{-webkit-animation-name:fa-bounce;animation-name:fa-bounce;-webkit-animation-delay:var(--fa-animation-delay,0s);animation-delay:var(--fa-animation-delay,0s);-webkit-animation-direction:var(--fa-animation-direction,normal);animation-direction:var(--fa-animation-direction,normal);-webkit-animation-duration:var(--fa-animation-duration,1s);animation-duration:var(--fa-animation-duration,1s);-webkit-animation-iteration-count:var(--fa-animation-iteration-count,infinite);animation-iteration-count:var(--fa-animation-iteration-count,infinite);-webkit-animation-timing-function:var(--fa-animation-timing,cubic-bezier(.28,.84,.42,1));animation-timing-function:var(--fa-animation-timing,cubic-bezier(.28,.84,.42,1))}.fa-fade{-webkit-animation-name:fa-fade;animation-name:fa-fade;-webkit-animation-iteration-count:var(--fa-animation-iteration-count,infinite);animation-iteration-count:var(--fa-animation-iteration-count,infinite);-webkit-animation-timing-function:var(--fa-animation-timing,cubic-bezier(.4,0,.6,1));animation-timing-function:var(--fa-animation-timing,cubic-bezier(.4,0,.6,1))}.fa-beat-fade,.fa-fade{-webkit-animation-delay:var(--fa-animation-delay,0s);animation-delay:var(--fa-animation-delay,0s);-webkit-animation-direction:var(--fa-animation-direction,normal);animation-direction:var(--fa-animation-direction,normal);-webkit-animation-duration:var(--fa-animation-duration,1s);animation-duration:var(--fa-animation-duration,1s)}.fa-beat-fade{-webkit-animation-name:fa-beat-fade;animation-name:fa-beat-fade;-webkit-animation-iteration-count:var(--fa-animation-iteration-count,infinite);animation-iteration-count:var(--fa-animation-iteration-count,infinite);-webkit-animation-timing-function:var(--fa-animation-timing,cubic-bezier(.4,0,.6,1));animation-timing-function:var(--fa-animation-timing,cubic-bezier(.4,0,.6,1))}.fa-flip{-webkit-animation-name:fa-flip;animation-name:fa-flip;-webkit-animation-delay:var(--fa-animation-delay,0s);animation-delay:var(--fa-animation-delay,0s);-webkit-animation-direction:var(--fa-animation-direction,normal);animation-direction:var(--fa-animation-direction,normal);-webkit-animation-duration:var(--fa-animation-duration,1s);animation-duration:var(--fa-animation-duration,1s);-webkit-animation-iteration-count:var(--fa-animation-iteration-count,infinite);animation-iteration-count:var(--fa-animation-iteration-count,infinite);-webkit-animation-timing-function:var(--fa-animation-timing,ease-in-out);animation-timing-function:var(--fa-animation-timing,ease-in-out)}.fa-shake{-webkit-animation-name:fa-shake;animation-name:fa-shake;-webkit-animation-duration:var(--fa-animation-duration,1s);animation-duration:var(--fa-animation-duration,1s);-webkit-animation-iteration-count:var(--fa-animation-iteration-count,infinite);animation-iteration-count:var(--fa-animation-iteration-count,infinite);-webkit-animation-timing-function:var(--fa-animation-timing,linear);animation-timing-function:var(--fa-animation-timing,linear)}.fa-shake,.fa-spin{-webkit-animation-delay:var(--fa-animation-delay,0s);animation-delay:var(--fa-animation-delay,0s);-webkit-animation-direction:var(--fa-animation-direction,normal);animation-direction:var(--fa-animation-direction,normal)}.fa-spin{-webkit-animation-name:fa-spin;animation-name:fa-spin;-webkit-animation-duration:var(--fa-animation-duration,2s);animation-duration:var(--fa-animation-duration,2s);-webkit-animation-iteration-count:var(--fa-animation-iteration-count,infinite);animation-iteration-count:var(--fa-animation-iteration-count,infinite);-webkit-animation-timing-function:var(--fa-animation-timing,linear);animation-timing-function:var(--fa-animation-timing,linear)}.fa-spin-reverse{--fa-animation-direction:reverse}.fa-pulse,.fa-spin-pulse{-webkit-animation-name:fa-spin;animation-name:fa-spin;-webkit-animation-direction:var(--fa-animation-direction,normal);animation-direction:var(--fa-animation-direction,normal);-webkit-animation-duration:var(--fa-animation-duration,1s);animation-duration:var(--fa-animation-duration,1s);-webkit-animation-iteration-count:var(--fa-animation-iteration-count,infinite);animation-iteration-count:var(--fa-animation-iteration-count,infinite);-webkit-animation-timing-function:var(--fa-animation-timing,steps(8));animation-timing-function:var(--fa-animation-timing,steps(8))}@media (prefers-reduced-motion:reduce){.fa-beat,.fa-beat-fade,.fa-bounce,.fa-fade,.fa-flip,.fa-pulse,.fa-shake,.fa-spin,.fa-spin-pulse{-webkit-animation-delay:-1ms;animation-delay:-1ms;-webkit-animation-duration:1ms;animation-duration:1ms;-webkit-animation-iteration-count:1;animation-iteration-count:1;-webkit-transition-delay:0s;transition-delay:0s;-webkit-transition-duration:0s;transition-duration:0s}}@-webkit-keyframes fa-beat{0%,90%{-webkit-transform:scale(1);transform:scale(1)}45%{-webkit-transform:scale(var(--fa-beat-scale,1.25));transform:scale(var(--fa-beat-scale,1.25))}}@keyframes fa-beat{0%,90%{-webkit-transform:scale(1);transform:scale(1)}45%{-webkit-transform:scale(var(--fa-beat-scale,1.25));transform:scale(var(--fa-beat-scale,1.25))}}@-webkit-keyframes fa-bounce{0%{-webkit-transform:scale(1) translateY(0);transform:scale(1) translateY(0)}10%{-webkit-transform:scale(var(--fa-bounce-start-scale-x,1.1),var(--fa-bounce-start-scale-y,.9)) translateY(0);transform:scale(var(--fa-bounce-start-scale-x,1.1),var(--fa-bounce-start-scale-y,.9)) translateY(0)}30%{-webkit-transform:scale(var(--fa-bounce-jump-scale-x,.9),var(--fa-bounce-jump-scale-y,1.1)) translateY(var(--fa-bounce-height,-.5em));transform:scale(var(--fa-bounce-jump-scale-x,.9),var(--fa-bounce-jump-scale-y,1.1)) translateY(var(--fa-bounce-height,-.5em))}50%{-webkit-transform:scale(var(--fa-bounce-land-scale-x,1.05),var(--fa-bounce-land-scale-y,.95)) translateY(0);transform:scale(var(--fa-bounce-land-scale-x,1.05),var(--fa-bounce-land-scale-y,.95)) translateY(0)}57%{-webkit-transform:scale(1) translateY(var(--fa-bounce-rebound,-.125em));transform:scale(1) translateY(var(--fa-bounce-rebound,-.125em))}64%{-webkit-transform:scale(1) translateY(0);transform:scale(1) translateY(0)}to{-webkit-transform:scale(1) translateY(0);transform:scale(1) translateY(0)}}@keyframes fa-bounce{0%{-webkit-transform:scale(1) translateY(0);transform:scale(1) translateY(0)}10%{-webkit-transform:scale(var(--fa-bounce-start-scale-x,1.1),var(--fa-bounce-start-scale-y,.9)) translateY(0);transform:scale(var(--fa-bounce-start-scale-x,1.1),var(--fa-bounce-start-scale-y,.9)) translateY(0)}30%{-webkit-transform:scale(var(--fa-bounce-jump-scale-x,.9),var(--fa-bounce-jump-scale-y,1.1)) translateY(var(--fa-bounce-height,-.5em));transform:scale(var(--fa-bounce-jump-scale-x,.9),var(--fa-bounce-jump-scale-y,1.1)) translateY(var(--fa-bounce-height,-.5em))}50%{-webkit-transform:scale(var(--fa-bounce-land-scale-x,1.05),var(--fa-bounce-land-scale-y,.95)) translateY(0);transform:scale(var(--fa-bounce-land-scale-x,1.05),var(--fa-bounce-land-scale-y,.95)) translateY(0)}57%{-webkit-transform:scale(1) translateY(var(--fa-bounce-rebound,-.125em));transform:scale(1) translateY(var(--fa-bounce-rebound,-.125em))}64%{-webkit-transform:scale(1) translateY(0);transform:scale(1) translateY(0)}to{-webkit-transform:scale(1) translateY(0);transform:scale(1) 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\ No newline at end of file
diff --git a/deps/font-awesome-6.4.2/css/v4-shims.css b/deps/font-awesome-6.4.2/css/v4-shims.css
new file mode 100644
index 0000000..a85953d
--- /dev/null
+++ b/deps/font-awesome-6.4.2/css/v4-shims.css
@@ -0,0 +1,2194 @@
+/*!
+ * Font Awesome Free 6.4.2 by @fontawesome - https://fontawesome.com
+ * License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License)
+ * Copyright 2023 Fonticons, Inc.
+ */
+.fa.fa-glass:before {
+  content: "\f000"; }
+
+.fa.fa-envelope-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-envelope-o:before {
+  content: "\f0e0"; }
+
+.fa.fa-star-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-star-o:before {
+  content: "\f005"; }
+
+.fa.fa-remove:before {
+  content: "\f00d"; }
+
+.fa.fa-close:before {
+  content: "\f00d"; }
+
+.fa.fa-gear:before {
+  content: "\f013"; }
+
+.fa.fa-trash-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-trash-o:before {
+  content: "\f2ed"; }
+
+.fa.fa-home:before {
+  content: "\f015"; }
+
+.fa.fa-file-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-file-o:before {
+  content: "\f15b"; }
+
+.fa.fa-clock-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-clock-o:before {
+  content: "\f017"; }
+
+.fa.fa-arrow-circle-o-down {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-arrow-circle-o-down:before {
+  content: "\f358"; }
+
+.fa.fa-arrow-circle-o-up {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-arrow-circle-o-up:before {
+  content: "\f35b"; }
+
+.fa.fa-play-circle-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-play-circle-o:before {
+  content: "\f144"; }
+
+.fa.fa-repeat:before {
+  content: "\f01e"; }
+
+.fa.fa-rotate-right:before {
+  content: "\f01e"; }
+
+.fa.fa-refresh:before {
+  content: "\f021"; }
+
+.fa.fa-list-alt {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-list-alt:before {
+  content: "\f022"; }
+
+.fa.fa-dedent:before {
+  content: "\f03b"; }
+
+.fa.fa-video-camera:before {
+  content: "\f03d"; }
+
+.fa.fa-picture-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-picture-o:before {
+  content: "\f03e"; }
+
+.fa.fa-photo {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-photo:before {
+  content: "\f03e"; }
+
+.fa.fa-image {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-image:before {
+  content: "\f03e"; }
+
+.fa.fa-map-marker:before {
+  content: "\f3c5"; }
+
+.fa.fa-pencil-square-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-pencil-square-o:before {
+  content: "\f044"; }
+
+.fa.fa-edit {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-edit:before {
+  content: "\f044"; }
+
+.fa.fa-share-square-o:before {
+  content: "\f14d"; }
+
+.fa.fa-check-square-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-check-square-o:before {
+  content: "\f14a"; }
+
+.fa.fa-arrows:before {
+  content: "\f0b2"; }
+
+.fa.fa-times-circle-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-times-circle-o:before {
+  content: "\f057"; }
+
+.fa.fa-check-circle-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-check-circle-o:before {
+  content: "\f058"; }
+
+.fa.fa-mail-forward:before {
+  content: "\f064"; }
+
+.fa.fa-expand:before {
+  content: "\f424"; }
+
+.fa.fa-compress:before {
+  content: "\f422"; }
+
+.fa.fa-eye {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-eye-slash {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-warning:before {
+  content: "\f071"; }
+
+.fa.fa-calendar:before {
+  content: "\f073"; }
+
+.fa.fa-arrows-v:before {
+  content: "\f338"; }
+
+.fa.fa-arrows-h:before {
+  content: "\f337"; }
+
+.fa.fa-bar-chart:before {
+  content: "\e0e3"; }
+
+.fa.fa-bar-chart-o:before {
+  content: "\e0e3"; }
+
+.fa.fa-twitter-square {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-twitter-square:before {
+  content: "\f081"; }
+
+.fa.fa-facebook-square {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-facebook-square:before {
+  content: "\f082"; }
+
+.fa.fa-gears:before {
+  content: "\f085"; }
+
+.fa.fa-thumbs-o-up {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-thumbs-o-up:before {
+  content: "\f164"; }
+
+.fa.fa-thumbs-o-down {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-thumbs-o-down:before {
+  content: "\f165"; }
+
+.fa.fa-heart-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-heart-o:before {
+  content: "\f004"; }
+
+.fa.fa-sign-out:before {
+  content: "\f2f5"; }
+
+.fa.fa-linkedin-square {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-linkedin-square:before {
+  content: "\f08c"; }
+
+.fa.fa-thumb-tack:before {
+  content: "\f08d"; }
+
+.fa.fa-external-link:before {
+  content: "\f35d"; }
+
+.fa.fa-sign-in:before {
+  content: "\f2f6"; }
+
+.fa.fa-github-square {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-github-square:before {
+  content: "\f092"; }
+
+.fa.fa-lemon-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-lemon-o:before {
+  content: "\f094"; }
+
+.fa.fa-square-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-square-o:before {
+  content: "\f0c8"; }
+
+.fa.fa-bookmark-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-bookmark-o:before {
+  content: "\f02e"; }
+
+.fa.fa-twitter {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-facebook {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-facebook:before {
+  content: "\f39e"; }
+
+.fa.fa-facebook-f {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-facebook-f:before {
+  content: "\f39e"; }
+
+.fa.fa-github {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-credit-card {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-feed:before {
+  content: "\f09e"; }
+
+.fa.fa-hdd-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hdd-o:before {
+  content: "\f0a0"; }
+
+.fa.fa-hand-o-right {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-o-right:before {
+  content: "\f0a4"; }
+
+.fa.fa-hand-o-left {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-o-left:before {
+  content: "\f0a5"; }
+
+.fa.fa-hand-o-up {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-o-up:before {
+  content: "\f0a6"; }
+
+.fa.fa-hand-o-down {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-o-down:before {
+  content: "\f0a7"; }
+
+.fa.fa-globe:before {
+  content: "\f57d"; }
+
+.fa.fa-tasks:before {
+  content: "\f828"; }
+
+.fa.fa-arrows-alt:before {
+  content: "\f31e"; }
+
+.fa.fa-group:before {
+  content: "\f0c0"; }
+
+.fa.fa-chain:before {
+  content: "\f0c1"; }
+
+.fa.fa-cut:before {
+  content: "\f0c4"; }
+
+.fa.fa-files-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-files-o:before {
+  content: "\f0c5"; }
+
+.fa.fa-floppy-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-floppy-o:before {
+  content: "\f0c7"; }
+
+.fa.fa-save {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-save:before {
+  content: "\f0c7"; }
+
+.fa.fa-navicon:before {
+  content: "\f0c9"; }
+
+.fa.fa-reorder:before {
+  content: "\f0c9"; }
+
+.fa.fa-magic:before {
+  content: "\e2ca"; }
+
+.fa.fa-pinterest {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-pinterest-square {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-pinterest-square:before {
+  content: "\f0d3"; }
+
+.fa.fa-google-plus-square {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-google-plus-square:before {
+  content: "\f0d4"; }
+
+.fa.fa-google-plus {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-google-plus:before {
+  content: "\f0d5"; }
+
+.fa.fa-money:before {
+  content: "\f3d1"; }
+
+.fa.fa-unsorted:before {
+  content: "\f0dc"; }
+
+.fa.fa-sort-desc:before {
+  content: "\f0dd"; }
+
+.fa.fa-sort-asc:before {
+  content: "\f0de"; }
+
+.fa.fa-linkedin {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-linkedin:before {
+  content: "\f0e1"; }
+
+.fa.fa-rotate-left:before {
+  content: "\f0e2"; }
+
+.fa.fa-legal:before {
+  content: "\f0e3"; }
+
+.fa.fa-tachometer:before {
+  content: "\f625"; }
+
+.fa.fa-dashboard:before {
+  content: "\f625"; }
+
+.fa.fa-comment-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-comment-o:before {
+  content: "\f075"; }
+
+.fa.fa-comments-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-comments-o:before {
+  content: "\f086"; }
+
+.fa.fa-flash:before {
+  content: "\f0e7"; }
+
+.fa.fa-clipboard:before {
+  content: "\f0ea"; }
+
+.fa.fa-lightbulb-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-lightbulb-o:before {
+  content: "\f0eb"; }
+
+.fa.fa-exchange:before {
+  content: "\f362"; }
+
+.fa.fa-cloud-download:before {
+  content: "\f0ed"; }
+
+.fa.fa-cloud-upload:before {
+  content: "\f0ee"; }
+
+.fa.fa-bell-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-bell-o:before {
+  content: "\f0f3"; }
+
+.fa.fa-cutlery:before {
+  content: "\f2e7"; }
+
+.fa.fa-file-text-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-file-text-o:before {
+  content: "\f15c"; }
+
+.fa.fa-building-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-building-o:before {
+  content: "\f1ad"; }
+
+.fa.fa-hospital-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hospital-o:before {
+  content: "\f0f8"; }
+
+.fa.fa-tablet:before {
+  content: "\f3fa"; }
+
+.fa.fa-mobile:before {
+  content: "\f3cd"; }
+
+.fa.fa-mobile-phone:before {
+  content: "\f3cd"; }
+
+.fa.fa-circle-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-circle-o:before {
+  content: "\f111"; }
+
+.fa.fa-mail-reply:before {
+  content: "\f3e5"; }
+
+.fa.fa-github-alt {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-folder-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-folder-o:before {
+  content: "\f07b"; }
+
+.fa.fa-folder-open-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-folder-open-o:before {
+  content: "\f07c"; }
+
+.fa.fa-smile-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-smile-o:before {
+  content: "\f118"; }
+
+.fa.fa-frown-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-frown-o:before {
+  content: "\f119"; }
+
+.fa.fa-meh-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-meh-o:before {
+  content: "\f11a"; }
+
+.fa.fa-keyboard-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-keyboard-o:before {
+  content: "\f11c"; }
+
+.fa.fa-flag-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-flag-o:before {
+  content: "\f024"; }
+
+.fa.fa-mail-reply-all:before {
+  content: "\f122"; }
+
+.fa.fa-star-half-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-star-half-o:before {
+  content: "\f5c0"; }
+
+.fa.fa-star-half-empty {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-star-half-empty:before {
+  content: "\f5c0"; }
+
+.fa.fa-star-half-full {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-star-half-full:before {
+  content: "\f5c0"; }
+
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+  content: "\f203"; }
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+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
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+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-cc {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-cc:before {
+  content: "\f20a"; }
+
+.fa.fa-ils:before {
+  content: "\f20b"; }
+
+.fa.fa-shekel:before {
+  content: "\f20b"; }
+
+.fa.fa-sheqel:before {
+  content: "\f20b"; }
+
+.fa.fa-buysellads {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-connectdevelop {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-dashcube {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-forumbee {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-leanpub {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-sellsy {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-shirtsinbulk {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-simplybuilt {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-skyatlas {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-diamond {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-diamond:before {
+  content: "\f3a5"; }
+
+.fa.fa-transgender:before {
+  content: "\f224"; }
+
+.fa.fa-intersex:before {
+  content: "\f224"; }
+
+.fa.fa-transgender-alt:before {
+  content: "\f225"; }
+
+.fa.fa-facebook-official {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
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+  content: "\f09a"; }
+
+.fa.fa-pinterest-p {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-whatsapp {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-hotel:before {
+  content: "\f236"; }
+
+.fa.fa-viacoin {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-medium {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-y-combinator {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-yc {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-yc:before {
+  content: "\f23b"; }
+
+.fa.fa-optin-monster {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-opencart {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-expeditedssl {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-battery-4:before {
+  content: "\f240"; }
+
+.fa.fa-battery:before {
+  content: "\f240"; }
+
+.fa.fa-battery-3:before {
+  content: "\f241"; }
+
+.fa.fa-battery-2:before {
+  content: "\f242"; }
+
+.fa.fa-battery-1:before {
+  content: "\f243"; }
+
+.fa.fa-battery-0:before {
+  content: "\f244"; }
+
+.fa.fa-object-group {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-object-ungroup {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-sticky-note-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-sticky-note-o:before {
+  content: "\f249"; }
+
+.fa.fa-cc-jcb {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-cc-diners-club {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-clone {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hourglass-o:before {
+  content: "\f254"; }
+
+.fa.fa-hourglass-1:before {
+  content: "\f251"; }
+
+.fa.fa-hourglass-2:before {
+  content: "\f252"; }
+
+.fa.fa-hourglass-3:before {
+  content: "\f253"; }
+
+.fa.fa-hand-rock-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-rock-o:before {
+  content: "\f255"; }
+
+.fa.fa-hand-grab-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-grab-o:before {
+  content: "\f255"; }
+
+.fa.fa-hand-paper-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-paper-o:before {
+  content: "\f256"; }
+
+.fa.fa-hand-stop-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-stop-o:before {
+  content: "\f256"; }
+
+.fa.fa-hand-scissors-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-scissors-o:before {
+  content: "\f257"; }
+
+.fa.fa-hand-lizard-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-lizard-o:before {
+  content: "\f258"; }
+
+.fa.fa-hand-spock-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-spock-o:before {
+  content: "\f259"; }
+
+.fa.fa-hand-pointer-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-pointer-o:before {
+  content: "\f25a"; }
+
+.fa.fa-hand-peace-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-hand-peace-o:before {
+  content: "\f25b"; }
+
+.fa.fa-registered {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-creative-commons {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-gg {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-gg-circle {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-odnoklassniki {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-odnoklassniki-square {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-odnoklassniki-square:before {
+  content: "\f264"; }
+
+.fa.fa-get-pocket {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-wikipedia-w {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-safari {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-chrome {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-firefox {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-opera {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-internet-explorer {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-television:before {
+  content: "\f26c"; }
+
+.fa.fa-contao {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-500px {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-amazon {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-calendar-plus-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-calendar-plus-o:before {
+  content: "\f271"; }
+
+.fa.fa-calendar-minus-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-calendar-minus-o:before {
+  content: "\f272"; }
+
+.fa.fa-calendar-times-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-calendar-times-o:before {
+  content: "\f273"; }
+
+.fa.fa-calendar-check-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-calendar-check-o:before {
+  content: "\f274"; }
+
+.fa.fa-map-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-map-o:before {
+  content: "\f279"; }
+
+.fa.fa-commenting:before {
+  content: "\f4ad"; }
+
+.fa.fa-commenting-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-commenting-o:before {
+  content: "\f4ad"; }
+
+.fa.fa-houzz {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-vimeo {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-vimeo:before {
+  content: "\f27d"; }
+
+.fa.fa-black-tie {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-fonticons {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-reddit-alien {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-edge {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-credit-card-alt:before {
+  content: "\f09d"; }
+
+.fa.fa-codiepie {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-modx {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-fort-awesome {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-usb {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-product-hunt {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-mixcloud {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-scribd {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-pause-circle-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-pause-circle-o:before {
+  content: "\f28b"; }
+
+.fa.fa-stop-circle-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-stop-circle-o:before {
+  content: "\f28d"; }
+
+.fa.fa-bluetooth {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-bluetooth-b {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-gitlab {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-wpbeginner {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-wpforms {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-envira {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-wheelchair-alt {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-wheelchair-alt:before {
+  content: "\f368"; }
+
+.fa.fa-question-circle-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-question-circle-o:before {
+  content: "\f059"; }
+
+.fa.fa-volume-control-phone:before {
+  content: "\f2a0"; }
+
+.fa.fa-asl-interpreting:before {
+  content: "\f2a3"; }
+
+.fa.fa-deafness:before {
+  content: "\f2a4"; }
+
+.fa.fa-hard-of-hearing:before {
+  content: "\f2a4"; }
+
+.fa.fa-glide {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-glide-g {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-signing:before {
+  content: "\f2a7"; }
+
+.fa.fa-viadeo {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-viadeo-square {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-viadeo-square:before {
+  content: "\f2aa"; }
+
+.fa.fa-snapchat {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-snapchat-ghost {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-snapchat-ghost:before {
+  content: "\f2ab"; }
+
+.fa.fa-snapchat-square {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-snapchat-square:before {
+  content: "\f2ad"; }
+
+.fa.fa-pied-piper {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-first-order {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-yoast {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-themeisle {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-google-plus-official {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-google-plus-official:before {
+  content: "\f2b3"; }
+
+.fa.fa-google-plus-circle {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-google-plus-circle:before {
+  content: "\f2b3"; }
+
+.fa.fa-font-awesome {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-fa {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-fa:before {
+  content: "\f2b4"; }
+
+.fa.fa-handshake-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-handshake-o:before {
+  content: "\f2b5"; }
+
+.fa.fa-envelope-open-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-envelope-open-o:before {
+  content: "\f2b6"; }
+
+.fa.fa-linode {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-address-book-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-address-book-o:before {
+  content: "\f2b9"; }
+
+.fa.fa-vcard:before {
+  content: "\f2bb"; }
+
+.fa.fa-address-card-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-address-card-o:before {
+  content: "\f2bb"; }
+
+.fa.fa-vcard-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-vcard-o:before {
+  content: "\f2bb"; }
+
+.fa.fa-user-circle-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-user-circle-o:before {
+  content: "\f2bd"; }
+
+.fa.fa-user-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-user-o:before {
+  content: "\f007"; }
+
+.fa.fa-id-badge {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-drivers-license:before {
+  content: "\f2c2"; }
+
+.fa.fa-id-card-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-id-card-o:before {
+  content: "\f2c2"; }
+
+.fa.fa-drivers-license-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-drivers-license-o:before {
+  content: "\f2c2"; }
+
+.fa.fa-quora {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-free-code-camp {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-telegram {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-thermometer-4:before {
+  content: "\f2c7"; }
+
+.fa.fa-thermometer:before {
+  content: "\f2c7"; }
+
+.fa.fa-thermometer-3:before {
+  content: "\f2c8"; }
+
+.fa.fa-thermometer-2:before {
+  content: "\f2c9"; }
+
+.fa.fa-thermometer-1:before {
+  content: "\f2ca"; }
+
+.fa.fa-thermometer-0:before {
+  content: "\f2cb"; }
+
+.fa.fa-bathtub:before {
+  content: "\f2cd"; }
+
+.fa.fa-s15:before {
+  content: "\f2cd"; }
+
+.fa.fa-window-maximize {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-window-restore {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-times-rectangle:before {
+  content: "\f410"; }
+
+.fa.fa-window-close-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-window-close-o:before {
+  content: "\f410"; }
+
+.fa.fa-times-rectangle-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-times-rectangle-o:before {
+  content: "\f410"; }
+
+.fa.fa-bandcamp {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-grav {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-etsy {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-imdb {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-ravelry {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-eercast {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-eercast:before {
+  content: "\f2da"; }
+
+.fa.fa-snowflake-o {
+  font-family: 'Font Awesome 6 Free';
+  font-weight: 400; }
+
+.fa.fa-snowflake-o:before {
+  content: "\f2dc"; }
+
+.fa.fa-superpowers {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-wpexplorer {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
+
+.fa.fa-meetup {
+  font-family: 'Font Awesome 6 Brands';
+  font-weight: 400; }
diff --git a/deps/font-awesome-6.4.2/css/v4-shims.min.css b/deps/font-awesome-6.4.2/css/v4-shims.min.css
new file mode 100644
index 0000000..64e4e8d
--- /dev/null
+++ b/deps/font-awesome-6.4.2/css/v4-shims.min.css
@@ -0,0 +1,6 @@
+/*!
+ * Font Awesome Free 6.4.2 by @fontawesome - https://fontawesome.com
+ * License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License)
+ * Copyright 2023 Fonticons, Inc.
+ */
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diff --git a/deps/headroom-0.11.0/headroom.min.js b/deps/headroom-0.11.0/headroom.min.js
new file mode 100644
index 0000000..433069f
--- /dev/null
+++ b/deps/headroom-0.11.0/headroom.min.js
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+/*!
+ * headroom.js v0.11.0 - Give your page some headroom. Hide your header until you need it
+ * Copyright (c) 2020 Nick Williams - http://wicky.nillia.ms/headroom.js
+ * License: MIT
+ */
+
+!function(t,n){"object"==typeof exports&&"undefined"!=typeof module?module.exports=n():"function"==typeof define&&define.amd?define(n):(t=t||self).Headroom=n()}(this,function(){"use strict";function t(){return"undefined"!=typeof window}function d(t){return function(t){return t&&t.document&&function(t){return 9===t.nodeType}(t.document)}(t)?function(t){var n=t.document,o=n.body,s=n.documentElement;return{scrollHeight:function(){return Math.max(o.scrollHeight,s.scrollHeight,o.offsetHeight,s.offsetHeight,o.clientHeight,s.clientHeight)},height:function(){return t.innerHeight||s.clientHeight||o.clientHeight},scrollY:function(){return void 0!==t.pageYOffset?t.pageYOffset:(s||o.parentNode||o).scrollTop}}}(t):function(t){return{scrollHeight:function(){return Math.max(t.scrollHeight,t.offsetHeight,t.clientHeight)},height:function(){return Math.max(t.offsetHeight,t.clientHeight)},scrollY:function(){return t.scrollTop}}}(t)}function n(t,s,e){var n,o=function(){var n=!1;try{var t={get passive(){n=!0}};window.addEventListener("test",t,t),window.removeEventListener("test",t,t)}catch(t){n=!1}return n}(),i=!1,r=d(t),l=r.scrollY(),a={};function c(){var t=Math.round(r.scrollY()),n=r.height(),o=r.scrollHeight();a.scrollY=t,a.lastScrollY=l,a.direction=l<t?"down":"up",a.distance=Math.abs(t-l),a.isOutOfBounds=t<0||o<t+n,a.top=t<=s.offset,a.bottom=o<=t+n,a.toleranceExceeded=a.distance>s.tolerance[a.direction],e(a),l=t,i=!1}function h(){i||(i=!0,n=requestAnimationFrame(c))}var u=!!o&&{passive:!0,capture:!1};return t.addEventListener("scroll",h,u),c(),{destroy:function(){cancelAnimationFrame(n),t.removeEventListener("scroll",h,u)}}}function o(t,n){n=n||{},Object.assign(this,o.options,n),this.classes=Object.assign({},o.options.classes,n.classes),this.elem=t,this.tolerance=function(t){return t===Object(t)?t:{down:t,up:t}}(this.tolerance),this.initialised=!1,this.frozen=!1}return o.prototype={constructor:o,init:function(){return o.cutsTheMustard&&!this.initialised&&(this.addClass("initial"),this.initialised=!0,setTimeout(function(t){t.scrollTracker=n(t.scroller,{offset:t.offset,tolerance:t.tolerance},t.update.bind(t))},100,this)),this},destroy:function(){this.initialised=!1,Object.keys(this.classes).forEach(this.removeClass,this),this.scrollTracker.destroy()},unpin:function(){!this.hasClass("pinned")&&this.hasClass("unpinned")||(this.addClass("unpinned"),this.removeClass("pinned"),this.onUnpin&&this.onUnpin.call(this))},pin:function(){this.hasClass("unpinned")&&(this.addClass("pinned"),this.removeClass("unpinned"),this.onPin&&this.onPin.call(this))},freeze:function(){this.frozen=!0,this.addClass("frozen")},unfreeze:function(){this.frozen=!1,this.removeClass("frozen")},top:function(){this.hasClass("top")||(this.addClass("top"),this.removeClass("notTop"),this.onTop&&this.onTop.call(this))},notTop:function(){this.hasClass("notTop")||(this.addClass("notTop"),this.removeClass("top"),this.onNotTop&&this.onNotTop.call(this))},bottom:function(){this.hasClass("bottom")||(this.addClass("bottom"),this.removeClass("notBottom"),this.onBottom&&this.onBottom.call(this))},notBottom:function(){this.hasClass("notBottom")||(this.addClass("notBottom"),this.removeClass("bottom"),this.onNotBottom&&this.onNotBottom.call(this))},shouldUnpin:function(t){return"down"===t.direction&&!t.top&&t.toleranceExceeded},shouldPin:function(t){return"up"===t.direction&&t.toleranceExceeded||t.top},addClass:function(t){this.elem.classList.add.apply(this.elem.classList,this.classes[t].split(" "))},removeClass:function(t){this.elem.classList.remove.apply(this.elem.classList,this.classes[t].split(" "))},hasClass:function(t){return this.classes[t].split(" ").every(function(t){return this.classList.contains(t)},this.elem)},update:function(t){t.isOutOfBounds||!0!==this.frozen&&(t.top?this.top():this.notTop(),t.bottom?this.bottom():this.notBottom(),this.shouldUnpin(t)?this.unpin():this.shouldPin(t)&&this.pin())}},o.options={tolerance:{up:0,down:0},offset:0,scroller:t()?window:null,classes:{frozen:"headroom--frozen",pinned:"headroom--pinned",unpinned:"headroom--unpinned",top:"headroom--top",notTop:"headroom--not-top",bottom:"headroom--bottom",notBottom:"headroom--not-bottom",initial:"headroom"}},o.cutsTheMustard=!!(t()&&function(){}.bind&&"classList"in document.documentElement&&Object.assign&&Object.keys&&requestAnimationFrame),o});
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new file mode 100644
index 0000000..17f70c9
--- /dev/null
+++ b/deps/headroom-0.11.0/jQuery.headroom.min.js
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+/*!
+ * headroom.js v0.9.4 - Give your page some headroom. Hide your header until you need it
+ * Copyright (c) 2017 Nick Williams - http://wicky.nillia.ms/headroom.js
+ * License: MIT
+ */
+
+!function(a){a&&(a.fn.headroom=function(b){return this.each(function(){var c=a(this),d=c.data("headroom"),e="object"==typeof b&&b;e=a.extend(!0,{},Headroom.options,e),d||(d=new Headroom(this,e),d.init(),c.data("headroom",d)),"string"==typeof b&&(d[b](),"destroy"===b&&c.removeData("headroom"))})},a("[data-headroom]").each(function(){var b=a(this);b.headroom(b.data())}))}(window.Zepto||window.jQuery);
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new file mode 100644
index 0000000..fb63a6a
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+++ b/deps/search-1.0.0/autocomplete.jquery.min.js
@@ -0,0 +1,7 @@
+/*!
+ * autocomplete.js 0.38.0
+ * https://github.com/algolia/autocomplete.js
+ * Copyright 2020 Algolia, Inc. and other contributors; Licensed MIT
+ */
+!function(a){function b(d){if(c[d])return c[d].exports;var e=c[d]={exports:{},id:d,loaded:!1};return a[d].call(e.exports,e,e.exports,b),e.loaded=!0,e.exports}var c={};b.m=a,b.c=c,b.p="",b(0)}([function(a,b,c){"use strict";a.exports=c(1)},function(a,b,c){"use strict";var d=c(2),e=c(3);d.element=e;var f=c(4);f.isArray=e.isArray,f.isFunction=e.isFunction,f.isObject=e.isPlainObject,f.bind=e.proxy,f.each=function(a,b){function c(a,c){return b(c,a)}e.each(a,c)},f.map=e.map,f.mixin=e.extend,f.Event=e.Event;var g,h,i,j=c(5),k=c(6);g=e.fn.autocomplete,h="aaAutocomplete",i={initialize:function(a,b){function c(){var c,d=e(this),f=new k({el:d});c=new j({input:d,eventBus:f,dropdownMenuContainer:a.dropdownMenuContainer,hint:void 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f=document.createElement("div");f.appendChild(document.createTextNode(c));var g=document.createElement("div");return g.appendChild(document.createTextNode(a)),g.innerHTML.replace(RegExp(d(e.innerHTML),"g"),b).replace(RegExp(d(f.innerHTML),"g"),c)}}},function(a,b,c){"use strict";function d(a){var b,c;if(a=a||{},a.input||i.error("missing input"),this.isActivated=!1,this.debug=!!a.debug,this.autoselect=!!a.autoselect,this.autoselectOnBlur=!!a.autoselectOnBlur,this.openOnFocus=!!a.openOnFocus,this.minLength=i.isNumber(a.minLength)?a.minLength:1,this.autoWidth=void 0===a.autoWidth||!!a.autoWidth,this.clearOnSelected=!!a.clearOnSelected,this.tabAutocomplete=void 0===a.tabAutocomplete||!!a.tabAutocomplete,a.hint=!!a.hint,a.hint&&a.appendTo)throw new Error("[autocomplete.js] hint and appendTo options can't be used at the same time");this.css=a.css=i.mixin({},o,a.appendTo?o.appendTo:{}),this.cssClasses=a.cssClasses=i.mixin({},o.defaultClasses,a.cssClasses||{}),this.cssClasses.prefix=a.cssClasses.formattedPrefix=i.formatPrefix(this.cssClasses.prefix,this.cssClasses.noPrefix),this.listboxId=a.listboxId=[this.cssClasses.root,"listbox",i.getUniqueId()].join("-");var f=e(a);this.$node=f.wrapper;var g=this.$input=f.input;b=f.menu,c=f.hint,a.dropdownMenuContainer&&j.element(a.dropdownMenuContainer).css("position","relative").append(b.css("top","0")),g.on("blur.aa",function(a){var c=document.activeElement;i.isMsie()&&(b[0]===c||b[0].contains(c))&&(a.preventDefault(),a.stopImmediatePropagation(),i.defer(function(){g.focus()}))}),b.on("mousedown.aa",function(a){a.preventDefault()}),this.eventBus=a.eventBus||new k({el:g}),this.dropdown=new d.Dropdown({appendTo:a.appendTo,wrapper:this.$node,menu:b,datasets:a.datasets,templates:a.templates,cssClasses:a.cssClasses,minLength:this.minLength}).onSync("suggestionClicked",this._onSuggestionClicked,this).onSync("cursorMoved",this._onCursorMoved,this).onSync("cursorRemoved",this._onCursorRemoved,this).onSync("opened",this._onOpened,this).onSync("closed",this._onClosed,this).onSync("shown",this._onShown,this).onSync("empty",this._onEmpty,this).onSync("redrawn",this._onRedrawn,this).onAsync("datasetRendered",this._onDatasetRendered,this),this.input=new 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g=n.dropdown.replace("%PREFIX%",a.cssClasses.prefix).replace("%DROPDOWN_MENU%",a.cssClasses.dropdownMenu);d=j.element(g).css(a.css.dropdown).attr({role:"listbox",id:a.listboxId}),a.templates&&a.templates.dropdownMenu&&d.html(i.templatify(a.templates.dropdownMenu)()),e=b.clone().css(a.css.hint).css(f(b)),e.val("").addClass(i.className(a.cssClasses.prefix,a.cssClasses.hint,!0)).removeAttr("id name placeholder required").prop("readonly",!0).attr({"aria-hidden":"true",autocomplete:"off",spellcheck:"false",tabindex:-1}),e.removeData&&e.removeData(),b.data(h,{"aria-autocomplete":b.attr("aria-autocomplete"),"aria-expanded":b.attr("aria-expanded"),"aria-owns":b.attr("aria-owns"),autocomplete:b.attr("autocomplete"),dir:b.attr("dir"),role:b.attr("role"),spellcheck:b.attr("spellcheck"),style:b.attr("style"),type:b.attr("type")}),b.addClass(i.className(a.cssClasses.prefix,a.cssClasses.input,!0)).attr({autocomplete:"off",spellcheck:!1,role:"combobox","aria-autocomplete":a.datasets&&a.datasets[0]&&a.datasets[0].displayKey?"both":"list","aria-expanded":"false","aria-label":a.ariaLabel,"aria-owns":a.listboxId}).css(a.hint?a.css.input:a.css.inputWithNoHint);try{b.attr("dir")||b.attr("dir","auto")}catch(a){}return c=a.appendTo?c.appendTo(j.element(a.appendTo).eq(0)).eq(0):b.wrap(c).parent(),c.prepend(a.hint?e:null).append(d),{wrapper:c,input:b,hint:e,menu:d}}function f(a){return{backgroundAttachment:a.css("background-attachment"),backgroundClip:a.css("background-clip"),backgroundColor:a.css("background-color"),backgroundImage:a.css("background-image"),backgroundOrigin:a.css("background-origin"),backgroundPosition:a.css("background-position"),backgroundRepeat:a.css("background-repeat"),backgroundSize:a.css("background-size")}}function g(a,b){var c=a.find(i.className(b.prefix,b.input));i.each(c.data(h),function(a,b){void 0===a?c.removeAttr(b):c.attr(b,a)}),c.detach().removeClass(i.className(b.prefix,b.input,!0)).insertAfter(a),c.removeData&&c.removeData(h),a.remove()}var h="aaAttrs",i=c(4),j=c(2),k=c(6),l=c(7),m=c(16),n=c(18),o=c(19);i.mixin(d.prototype,{_bindKeyboardShortcuts:function(a){if(a.keyboardShortcuts){var b=this.$input,c=[];i.each(a.keyboardShortcuts,function(a){"string"==typeof a&&(a=a.toUpperCase().charCodeAt(0)),c.push(a)}),j.element(document).keydown(function(a){var d=a.target||a.srcElement,e=d.tagName;if(!d.isContentEditable&&"INPUT"!==e&&"SELECT"!==e&&"TEXTAREA"!==e){var f=a.which||a.keyCode;c.indexOf(f)!==-1&&(b.focus(),a.stopPropagation(),a.preventDefault())}})}},_onSuggestionClicked:function(a,b){var c,d={selectionMethod:"click"};(c=this.dropdown.getDatumForSuggestion(b))&&this._select(c,d)},_onCursorMoved:function(a,b){var c=this.dropdown.getDatumForCursor(),d=this.dropdown.getCurrentCursor().attr("id");this.input.setActiveDescendant(d),c&&(b&&this.input.setInputValue(c.value,!0),this.eventBus.trigger("cursorchanged",c.raw,c.datasetName))},_onCursorRemoved:function(){this.input.resetInputValue(),this._updateHint(),this.eventBus.trigger("cursorremoved")},_onDatasetRendered:function(){this._updateHint(),this.eventBus.trigger("updated")},_onOpened:function(){this._updateHint(),this.input.expand(),this.eventBus.trigger("opened")},_onEmpty:function(){this.eventBus.trigger("empty")},_onRedrawn:function(){this.$node.css("top","0px"),this.$node.css("left","0px");var a=this.$input[0].getBoundingClientRect();this.autoWidth&&this.$node.css("width",a.width+"px");var b=this.$node[0].getBoundingClientRect(),c=a.bottom-b.top;this.$node.css("top",c+"px");var d=a.left-b.left;this.$node.css("left",d+"px"),this.eventBus.trigger("redrawn")},_onShown:function(){this.eventBus.trigger("shown"),this.autoselect&&this.dropdown.cursorTopSuggestion()},_onClosed:function(){this.input.clearHint(),this.input.removeActiveDescendant(),this.input.collapse(),this.eventBus.trigger("closed")},_onFocused:function(){if(this.isActivated=!0,this.openOnFocus){var a=this.input.getQuery();a.length>=this.minLength?this.dropdown.update(a):this.dropdown.empty(),this.dropdown.open()}},_onBlurred:function(){var a,b;a=this.dropdown.getDatumForCursor(),b=this.dropdown.getDatumForTopSuggestion();var c={selectionMethod:"blur"};this.debug||(this.autoselectOnBlur&&a?this._select(a,c):this.autoselectOnBlur&&b?this._select(b,c):(this.isActivated=!1,this.dropdown.empty(),this.dropdown.close()))},_onEnterKeyed:function(a,b){var c,d;c=this.dropdown.getDatumForCursor(),d=this.dropdown.getDatumForTopSuggestion();var e={selectionMethod:"enterKey"};c?(this._select(c,e),b.preventDefault()):this.autoselect&&d&&(this._select(d,e),b.preventDefault())},_onTabKeyed:function(a,b){if(!this.tabAutocomplete)return void this.dropdown.close();var c,d={selectionMethod:"tabKey"};(c=this.dropdown.getDatumForCursor())?(this._select(c,d),b.preventDefault()):this._autocomplete(!0)},_onEscKeyed:function(){this.dropdown.close(),this.input.resetInputValue()},_onUpKeyed:function(){var a=this.input.getQuery();this.dropdown.isEmpty&&a.length>=this.minLength?this.dropdown.update(a):this.dropdown.moveCursorUp(),this.dropdown.open()},_onDownKeyed:function(){var a=this.input.getQuery();this.dropdown.isEmpty&&a.length>=this.minLength?this.dropdown.update(a):this.dropdown.moveCursorDown(),this.dropdown.open()},_onLeftKeyed:function(){"rtl"===this.dir&&this._autocomplete()},_onRightKeyed:function(){"ltr"===this.dir&&this._autocomplete()},_onQueryChanged:function(a,b){this.input.clearHintIfInvalid(),b.length>=this.minLength?this.dropdown.update(b):this.dropdown.empty(),this.dropdown.open(),this._setLanguageDirection()},_onWhitespaceChanged:function(){this._updateHint(),this.dropdown.open()},_setLanguageDirection:function(){var a=this.input.getLanguageDirection();this.dir!==a&&(this.dir=a,this.$node.css("direction",a),this.dropdown.setLanguageDirection(a))},_updateHint:function(){var a,b,c,d,e,f;a=this.dropdown.getDatumForTopSuggestion(),a&&this.dropdown.isVisible()&&!this.input.hasOverflow()?(b=this.input.getInputValue(),c=l.normalizeQuery(b),d=i.escapeRegExChars(c),e=new 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a=this.input.getInputValue();a.length>=this.minLength?this.dropdown.update(a):this.dropdown.empty()}this.dropdown.open()},close:function(){this.dropdown.close()},setVal:function(a){a=i.toStr(a),this.isActivated?this.input.setInputValue(a):(this.input.setQuery(a),this.input.setInputValue(a,!0)),this._setLanguageDirection()},getVal:function(){return this.input.getQuery()},destroy:function(){this.input.destroy(),this.dropdown.destroy(),g(this.$node,this.cssClasses),this.$node=null},getWrapper:function(){return this.dropdown.$container[0]}}),d.Dropdown=m,d.Input=l,d.sources=c(20),a.exports=d},function(a,b,c){"use strict";function d(a){a&&a.el||e.error("EventBus initialized without el"),this.$el=f.element(a.el)}var e=c(4),f=c(2);e.mixin(d.prototype,{trigger:function(a,b,c,d){var f=e.Event("autocomplete:"+a);return this.$el.trigger(f,[b,c,d]),f}}),a.exports=d},function(a,b,c){"use strict";function d(a){var b,c,d,f,g=this;a=a||{},a.input||i.error("input is 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b=h[a.which||a.keyCode];this._managePreventDefault(b,a),b&&this._shouldTrigger(b,a)&&this.trigger(b+"Keyed",a)},_onInput:function(){this._checkInputValue()},_managePreventDefault:function(a,b){var c,d,e;switch(a){case"tab":d=this.getHint(),e=this.getInputValue(),c=d&&d!==e&&!g(b);break;case"up":case"down":c=!g(b);break;default:c=!1}c&&b.preventDefault()},_shouldTrigger:function(a,b){var c;switch(a){case"tab":c=!g(b);break;default:c=!0}return c},_checkInputValue:function(){var a,b,c;a=this.getInputValue(),b=f(a,this.query),c=!(!b||!this.query)&&this.query.length!==a.length,this.query=a,b?c&&this.trigger("whitespaceChanged",this.query):this.trigger("queryChanged",this.query)},focus:function(){this.$input.focus()},blur:function(){this.$input.blur()},getQuery:function(){return this.query},setQuery:function(a){this.query=a},getInputValue:function(){return this.$input.val()},setInputValue:function(a,b){void 0===a&&(a=this.query),this.$input.val(a),b?this.clearHint():this._checkInputValue()},expand:function(){this.$input.attr("aria-expanded","true")},collapse:function(){this.$input.attr("aria-expanded","false")},setActiveDescendant:function(a){this.$input.attr("aria-activedescendant",a)},removeActiveDescendant:function(){this.$input.removeAttr("aria-activedescendant")},resetInputValue:function(){this.setInputValue(this.query,!0)},getHint:function(){return this.$hint.val()},setHint:function(a){this.$hint.val(a)},clearHint:function(){this.setHint("")},clearHintIfInvalid:function(){var a,b,c,d;a=this.getInputValue(),b=this.getHint(),c=a!==b&&0===b.indexOf(a),(d=""!==a&&c&&!this.hasOverflow())||this.clearHint()},getLanguageDirection:function(){return(this.$input.css("direction")||"ltr").toLowerCase()},hasOverflow:function(){var a=this.$input.width()-2;return this.$overflowHelper.text(this.getInputValue()),this.$overflowHelper.width()>=a},isCursorAtEnd:function(){var a,b,c;return 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+var c=[].slice.call(arguments,1);this.cacheSuggestions(a,b,c),this._render.apply(this,[a,b].concat(c))}}if(this.query=a,this.canceled=!1,this.shouldFetchFromCache(a))b.apply(this,[this.cachedSuggestions].concat(this.cachedRenderExtraArgs));else{var c=this,d=function(){c.canceled||c.source(a,b.bind(c))};if(this.debounce){var e=function(){c.debounceTimeout=null,d()};clearTimeout(this.debounceTimeout),this.debounceTimeout=setTimeout(e,this.debounce)}else d()}},cacheSuggestions:function(a,b,c){this.cachedQuery=a,this.cachedSuggestions=b,this.cachedRenderExtraArgs=c},shouldFetchFromCache:function(a){return this.cache&&this.cachedQuery===a&&this.cachedSuggestions&&this.cachedSuggestions.length},clearCachedSuggestions:function(){delete this.cachedQuery,delete this.cachedSuggestions,delete this.cachedRenderExtraArgs},cancel:function(){this.canceled=!0},clear:function(){this.$el&&(this.cancel(),this.$el.empty(),this.trigger("rendered",""))},isEmpty:function(){return this._isEmpty},destroy:function(){this.clearCachedSuggestions(),this.$el=null}}),a.exports=d},function(a,b){"use strict";a.exports={wrapper:'<span class="%ROOT%"></span>',dropdown:'<span class="%PREFIX%%DROPDOWN_MENU%"></span>',dataset:'<div class="%PREFIX%%DATASET%-%CLASS%"></div>',suggestions:'<span class="%PREFIX%%SUGGESTIONS%"></span>',suggestion:'<div class="%PREFIX%%SUGGESTION%"></div>'}},function(a,b,c){"use strict";var d=c(4),e={wrapper:{position:"relative",display:"inline-block"},hint:{position:"absolute",top:"0",left:"0",borderColor:"transparent",boxShadow:"none",opacity:"1"},input:{position:"relative",verticalAlign:"top",backgroundColor:"transparent"},inputWithNoHint:{position:"relative",verticalAlign:"top"},dropdown:{position:"absolute",top:"100%",left:"0",zIndex:"100",display:"none"},suggestions:{display:"block"},suggestion:{whiteSpace:"nowrap",cursor:"pointer"},suggestionChild:{whiteSpace:"normal"},ltr:{left:"0",right:"auto"},rtl:{left:"auto",right:"0"},defaultClasses:{root:"algolia-autocomplete",prefix:"aa",noPrefix:!1,dropdownMenu:"dropdown-menu",input:"input",hint:"hint",suggestions:"suggestions",suggestion:"suggestion",cursor:"cursor",dataset:"dataset",empty:"empty"},appendTo:{wrapper:{position:"absolute",zIndex:"100",display:"none"},input:{},inputWithNoHint:{},dropdown:{display:"block"}}};d.isMsie()&&d.mixin(e.input,{backgroundImage:"url(data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)"}),d.isMsie()&&d.isMsie()<=7&&d.mixin(e.input,{marginTop:"-1px"}),a.exports=e},function(a,b,c){"use strict";a.exports={hits:c(21),popularIn:c(24)}},function(a,b,c){"use strict";var d=c(4),e=c(22),f=c(23),g=function(){function a(a,d){return window.Promise.resolve().then(function(){return b.length&&(e=a.search(b),b=[]),e}).then(function(a){if(a)return c=a.results,c[d]})}var b=[],c=[],e=window.Promise.resolve();return function(c,e){return function(f,g){a(c.as,b.push({indexName:c.indexName,query:f,params:e})-1).then(function(a){a&&g(a.hits,a)}).catch(function(a){d.error(a.message)})}}}();a.exports=function(a,b){var c=f(a.as._ua);if(c&&c[0]>=3&&c[1]>20){var d="autocomplete.js "+e;a.as._ua.indexOf(d)===-1&&(a.as._ua+="; "+d)}return g(a,b)}},function(a,b){a.exports="0.38.0"},function(a,b){"use strict";a.exports=function(a){var b=a.match(/Algolia for JavaScript \((\d+\.)(\d+\.)(\d+)\)/)||a.match(/Algolia for vanilla JavaScript (\d+\.)(\d+\.)(\d+)/);if(b)return[b[1],b[2],b[3]]}},function(a,b,c){"use strict";var d=c(4),e=c(22),f=c(23);a.exports=function(a,b,c,g){function h(h,i){a.search(h,b,function(a,h){if(a)return void d.error(a.message);if(h.hits.length>0){var l=h.hits[0],m=d.mixin({hitsPerPage:0},c);delete m.source,delete m.index;var n=f(k.as._ua);return n&&n[0]>=3&&n[1]>20&&(b.additionalUA="autocomplete.js "+e),void k.search(j(l),m,function(a,b){if(a)return void d.error(a.message);var c=[];if(g.includeAll){var e=g.allTitle||"All departments";c.push(d.mixin({facet:{value:e,count:b.nbHits}},d.cloneDeep(l)))}d.each(b.facets,function(a,b){d.each(a,function(a,e){c.push(d.mixin({facet:{facet:b,value:e,count:a}},d.cloneDeep(l)))})});for(var f=1;f<h.hits.length;++f)c.push(h.hits[f]);i(c,h)})}i([])})}var i=f(a.as._ua);if(i&&i[0]>=3&&i[1]>20&&(b=b||{},b.additionalUA="autocomplete.js "+e),!c.source)return d.error("Missing 'source' key");var j=d.isFunction(c.source)?c.source:function(a){return a[c.source]};if(!c.index)return d.error("Missing 'index' key");var k=c.index;return g=g||{},h}}]);
\ No newline at end of file
diff --git a/deps/search-1.0.0/fuse.min.js b/deps/search-1.0.0/fuse.min.js
new file mode 100644
index 0000000..7def598
--- /dev/null
+++ b/deps/search-1.0.0/fuse.min.js
@@ -0,0 +1,9 @@
+/**
+ * Fuse.js v6.4.6 - Lightweight fuzzy-search (http://fusejs.io)
+ *
+ * Copyright (c) 2021 Kiro Risk (http://kiro.me)
+ * All Rights Reserved. Apache Software License 2.0
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ */
+var e,t;e=this,t=function(){"use strict";function e(t){return(e="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(t)}function t(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")}function n(e,t){for(var n=0;n<t.length;n++){var r=t[n];r.enumerable=r.enumerable||!1,r.configurable=!0,"value"in r&&(r.writable=!0),Object.defineProperty(e,r.key,r)}}function r(e,t,r){return t&&n(e.prototype,t),r&&n(e,r),e}function i(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function o(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,r)}return n}function c(e){for(var t=1;t<arguments.length;t++){var 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c=t.searchIn(n),a=c.isMatch,s=c.score,u=c.indices;a&&r.push({item:n,idx:i,matches:[{score:s,value:n,norm:o,indices:u}]})}})),r}},{key:"_searchLogical",value:function(e){var t=this,n=function(e,t){var n=arguments.length>2&&void 0!==arguments[2]?arguments[2]:{},r=n.auto,i=void 0===r||r,o=function e(n){var r=Object.keys(n),o=ae(n);if(!o&&r.length>1&&!ce(n))return e(ue(n));if(se(n)){var c=o?n[ie]:r[0],a=o?n[oe]:n[c];if(!g(a))throw new Error(x(c));var s={keyId:j(c),pattern:a};return i&&(s.searcher=te(a,t)),s}var u={children:[],operator:r[0]};return r.forEach((function(t){var r=n[t];v(r)&&r.forEach((function(t){u.children.push(e(t))}))})),u};return ce(e)||(e=ue(e)),o(e)}(e,this.options),r=this._myIndex.records,i={},o=[];return r.forEach((function(e){var r=e.$,c=e.i;if(k(r)){var a=function e(n,r,i){if(!n.children){var o=n.keyId,c=n.searcher,a=t._findMatches({key:t._keyStore.get(o),value:t._myIndex.getValueForItemAtKeyId(r,o),searcher:c});return a&&a.length?[{idx:i,item:r,matches:a}]:[]}switch(n.operator){case ne:for(var s=[],u=0,h=n.children.length;u<h;u+=1){var f=e(n.children[u],r,i);if(!f.length)return[];s.push.apply(s,l(f))}return s;case re:for(var d=[],v=0,g=n.children.length;v<g;v+=1){var y=e(n.children[v],r,i);if(y.length){d.push.apply(d,l(y));break}}return d}}(n,r,c);a.length&&(i[c]||(i[c]={idx:c,item:r,matches:[]},o.push(i[c])),a.forEach((function(e){var t,n=e.matches;(t=i[c].matches).push.apply(t,l(n))})))}})),o}},{key:"_searchObjectList",value:function(e){var t=this,n=te(e,this.options),r=this._myIndex,i=r.keys,o=r.records,c=[];return o.forEach((function(e){var r=e.$,o=e.i;if(k(r)){var a=[];i.forEach((function(e,i){a.push.apply(a,l(t._findMatches({key:e,value:r[i],searcher:n})))})),a.length&&c.push({idx:o,item:r,matches:a})}})),c}},{key:"_findMatches",value:function(e){var t=e.key,n=e.value,r=e.searcher;if(!k(n))return[];var i=[];if(v(n))n.forEach((function(e){var n=e.v,o=e.i,c=e.n;if(k(n)){var a=r.searchIn(n),s=a.isMatch,u=a.score,h=a.indices;s&&i.push({score:u,key:t,value:n,idx:o,norm:c,indices:h})}}));else{var o=n.v,c=n.n,a=r.searchIn(o),s=a.isMatch,u=a.score,h=a.indices;s&&i.push({score:u,key:t,value:o,norm:c,indices:h})}return i}}]),e}();return ve.version="6.4.6",ve.createIndex=$,ve.parseIndex=function(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},n=t.getFn,r=void 0===n?A.getFn:n,i=e.keys,o=e.records,c=new E({getFn:r});return c.setKeys(i),c.setIndexRecords(o),c},ve.config=A,function(){ee.push.apply(ee,arguments)}(Z),ve},"object"==typeof exports&&"undefined"!=typeof module?module.exports=t():"function"==typeof define&&define.amd?define(t):(e=e||self).Fuse=t();
\ No newline at end of file
diff --git a/deps/search-1.0.0/mark.min.js b/deps/search-1.0.0/mark.min.js
new file mode 100644
index 0000000..1eea053
--- /dev/null
+++ b/deps/search-1.0.0/mark.min.js
@@ -0,0 +1,7 @@
+/*!***************************************************
+* mark.js v8.11.1
+* https://markjs.io/
+* Copyright (c) 2014–2018, Julian Kühnel
+* Released under the MIT license https://git.io/vwTVl
+*****************************************************/
+!function(e,t){"object"==typeof exports&&"undefined"!=typeof module?module.exports=t():"function"==typeof define&&define.amd?define(t):e.Mark=t()}(this,function(){"use strict";var e="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e},t=function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")},n=function(){function e(e,t){for(var n=0;n<t.length;n++){var r=t[n];r.enumerable=r.enumerable||!1,r.configurable=!0,"value"in r&&(r.writable=!0),Object.defineProperty(e,r.key,r)}}return function(t,n,r){return n&&e(t.prototype,n),r&&e(t,r),t}}(),r=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var n=arguments[t];for(var r in n)Object.prototype.hasOwnProperty.call(n,r)&&(e[r]=n[r])}return e},i=function(){function e(n){var r=!(arguments.length>1&&void 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t=e.getAttribute("src").trim();return"about:blank"===e.contentWindow.location.href&&"about:blank"!==t&&t}},{key:"observeIframeLoad",value:function(e,t,n){var r=this,i=!1,o=null,a=function a(){if(!i){i=!0,clearTimeout(o);try{r.isIframeBlank(e)||(e.removeEventListener("load",a),r.getIframeContents(e,t,n))}catch(e){n()}}};e.addEventListener("load",a),o=setTimeout(a,this.iframesTimeout)}},{key:"onIframeReady",value:function(e,t,n){try{"complete"===e.contentWindow.document.readyState?this.isIframeBlank(e)?this.observeIframeLoad(e,t,n):this.getIframeContents(e,t,n):this.observeIframeLoad(e,t,n)}catch(e){n()}}},{key:"waitForIframes",value:function(e,t){var n=this,r=0;this.forEachIframe(e,function(){return!0},function(e){r++,n.waitForIframes(e.querySelector("html"),function(){--r||t()})},function(e){e||t()})}},{key:"forEachIframe",value:function(t,n,r){var i=this,o=arguments.length>3&&void 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0!==arguments[3]?arguments[3]:function(){},o=this.getContexts(),a=o.length;a||i(),o.forEach(function(o){var s=function(){r.iterateThroughNodes(e,o,t,n,function(){--a<=0&&i()})};r.iframes?r.waitForIframes(o,s):s()})}}],[{key:"matches",value:function(e,t){var n="string"==typeof t?[t]:t,r=e.matches||e.matchesSelector||e.msMatchesSelector||e.mozMatchesSelector||e.oMatchesSelector||e.webkitMatchesSelector;if(r){var i=!1;return n.every(function(t){return!r.call(e,t)||(i=!0,!1)}),i}return!1}}]),e}(),o=function(){function o(e){t(this,o),this.ctx=e,this.ie=!1;var n=window.navigator.userAgent;(n.indexOf("MSIE")>-1||n.indexOf("Trident")>-1)&&(this.ie=!0)}return n(o,[{key:"log",value:function(t){var n=arguments.length>1&&void 0!==arguments[1]?arguments[1]:"debug",r=this.opt.log;this.opt.debug&&"object"===(void 0===r?"undefined":e(r))&&"function"==typeof r[n]&&r[n]("mark.js: "+t)}},{key:"escapeStr",value:function(e){return e.replace(/[\-\[\]\/\{\}\(\)\*\+\?\.\\\^\$\|]/g,"\\$&")}},{key:"createRegExp",value:function(e){return"disabled"!==this.opt.wildcards&&(e=this.setupWildcardsRegExp(e)),e=this.escapeStr(e),Object.keys(this.opt.synonyms).length&&(e=this.createSynonymsRegExp(e)),(this.opt.ignoreJoiners||this.opt.ignorePunctuation.length)&&(e=this.setupIgnoreJoinersRegExp(e)),this.opt.diacritics&&(e=this.createDiacriticsRegExp(e)),e=this.createMergedBlanksRegExp(e),(this.opt.ignoreJoiners||this.opt.ignorePunctuation.length)&&(e=this.createJoinersRegExp(e)),"disabled"!==this.opt.wildcards&&(e=this.createWildcardsRegExp(e)),e=this.createAccuracyRegExp(e)}},{key:"createSynonymsRegExp",value:function(e){var t=this.opt.synonyms,n=this.opt.caseSensitive?"":"i",r=this.opt.ignoreJoiners||this.opt.ignorePunctuation.length?"\0":"";for(var i in t)if(t.hasOwnProperty(i)){var o=t[i],a="disabled"!==this.opt.wildcards?this.setupWildcardsRegExp(i):this.escapeStr(i),s="disabled"!==this.opt.wildcards?this.setupWildcardsRegExp(o):this.escapeStr(o);""!==a&&""!==s&&(e=e.replace(new RegExp("("+this.escapeStr(a)+"|"+this.escapeStr(s)+")","gm"+n),r+"("+this.processSynomyms(a)+"|"+this.processSynomyms(s)+")"+r))}return e}},{key:"processSynomyms",value:function(e){return(this.opt.ignoreJoiners||this.opt.ignorePunctuation.length)&&(e=this.setupIgnoreJoinersRegExp(e)),e}},{key:"setupWildcardsRegExp",value:function(e){return(e=e.replace(/(?:\\)*\?/g,function(e){return"\\"===e.charAt(0)?"?":"
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diff --git a/index.html b/index.html
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 <title>Generalized Price and Quantity Indexes • gpindex</title>
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-<meta property="og:description" content="Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008, ISBN:978-1-107-40496-0), von der Lippe (2001, ISBN:3-8246-0638-0), and the CPI manual (2020, ISBN:978-1-51354-298-0).">
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+<meta name="description" content="Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008, &lt;doi:10.1017/CBO9780511720758&gt;), von der Lippe (2007, &lt;doi:10.3726/978-3-653-01120-3&gt;), and the CPI manual (2020, &lt;doi:10.5089/9781484354841.069&gt;).">
+<meta property="og:description" content="Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008, &lt;doi:10.1017/CBO9780511720758&gt;), von der Lippe (2007, &lt;doi:10.3726/978-3-653-01120-3&gt;), and the CPI manual (2020, &lt;doi:10.5089/9781484354841.069&gt;).">
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
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@@ -78,7 +56,7 @@
 </div>
 <!-- badges: start -->
 
-<p>Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008), von der Lippe (2001), and the CPI manual (2020).</p>
+<p>Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008), von der Lippe (2007), and the CPI manual (2020).</p>
 <div class="section level2">
 <h2 id="installation">Installation<a class="anchor" aria-label="anchor" href="#installation"></a>
 </h2>
@@ -191,8 +169,8 @@ <h2 id="prior-work">Prior work<a class="anchor" aria-label="anchor" href="#prior
 <h2 id="references">References<a class="anchor" aria-label="anchor" href="#references"></a>
 </h2>
 <p>Balk, B. M. (2008). <em>Price and Quantity Index Numbers</em>. Cambridge University Press.</p>
-<p>ILO, IMF, OECD, Eurostat, UN, and World Bank. (2020). <em>Consumer Price Index Manual: Theory and Practice</em>. International Monetary Fund.</p>
-<p>von der Lippe, P. (2001). <em>Chain Indices: A Study in Price Index Theory</em>, Spectrum of Federal Statistics vol. 16. Federal Statistical Office, Wiesbaden.</p>
+<p>IMF, ILO, Eurostat, UNECE, OECD, and World Bank. (2020). <em>Consumer Price Index Manual: Concepts and Methods</em>. International Monetary Fund.</p>
+<p>von der Lippe, P. (2007). <em>Index Theory and Price Statistics</em>. Peter Lang.</p>
 </div>
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   </main><aside class="col-md-3"><div class="links">
@@ -231,7 +209,7 @@ <h2 data-toc-skip>Developers</h2>
 <h2 data-toc-skip>Dev status</h2>
 <ul class="list-unstyled">
 <li><a href="https://cran.r-project.org/package=gpindex" class="external-link"><img src="https://www.r-pkg.org/badges/version/gpindex" alt="CRAN status"></a></li>
-<li><a href="https://marberts.r-universe.dev" class="external-link"><img src="https://marberts.r-universe.dev/badges/gpindex" alt="gpindex status badge"></a></li>
+<li><a href="https://marberts.r-universe.dev/gpindex" class="external-link"><img src="https://marberts.r-universe.dev/badges/gpindex" alt="gpindex status badge"></a></li>
 <li><a href="https://anaconda.org/conda-forge/r-gpindex" class="external-link"><img src="https://img.shields.io/conda/vn/conda-forge/r-gpindex.svg" alt="Conda Version"></a></li>
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@@ -244,21 +222,19 @@ <h2 data-toc-skip>Dev status</h2>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p>
-<p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
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-  <p></p>
-<p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
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diff --git a/katex-auto.js b/katex-auto.js
new file mode 100644
index 0000000..20651d9
--- /dev/null
+++ b/katex-auto.js
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+document.addEventListener("DOMContentLoaded", function () {
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diff --git a/lightswitch.js b/lightswitch.js
new file mode 100644
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--- /dev/null
+++ b/lightswitch.js
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+
+/*!
+ * Color mode toggler for Bootstrap's docs (https://getbootstrap.com/)
+ * Copyright 2011-2023 The Bootstrap Authors
+ * Licensed under the Creative Commons Attribution 3.0 Unported License.
+ * Updates for {pkgdown} by the {bslib} authors, also licensed under CC-BY-3.0.
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+    })
+
+    const themeSwitcher = document.querySelector('#dropdown-lightswitch')
+    if (!themeSwitcher) {
+      return
+    }
+
+    themeSwitcher.setAttribute('aria-label', activeLabel)
+    themeSwitcher.querySelector('span').classList.value = activeIcon;
+
+    if (focus) {
+      themeSwitcher.focus()
+    }
+  }
+
+  window.matchMedia('(prefers-color-scheme: dark)').addEventListener('change', () => {
+    const storedTheme = getStoredTheme()
+    if (storedTheme !== 'light' && storedTheme !== 'dark') {
+      setTheme(getPreferredTheme())
+    }
+  })
+
+  window.addEventListener('DOMContentLoaded', () => {
+    showActiveTheme(getPreferredTheme())
+
+    document
+      .querySelectorAll('[data-bs-theme-value]')
+      .forEach(toggle => {
+        toggle.addEventListener('click', () => {
+          const theme = toggle.getAttribute('data-bs-theme-value')
+          setTheme(theme)
+          setStoredTheme(theme)
+          showActiveTheme(theme, true)
+        })
+      })
+  })
+}
+
+setTheme(getPreferredTheme());
+bsSetupThemeToggle();
diff --git a/news/index.html b/news/index.html
index f3ac8fc..55add53 100644
--- a/news/index.html
+++ b/news/index.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Changelog • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Changelog"><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Changelog • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Changelog"><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
     <a href="#main" class="visually-hidden-focusable">Skip to contents</a>
-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
-    
+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
       <span class="navbar-toggler-icon"></span>
     </button>
 
     <div id="navbar" class="collapse navbar-collapse ms-3">
-      <ul class="navbar-nav me-auto"><li class="nav-item">
-  <a class="nav-link" href="../articles/gpindex.html">Get started</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="../reference/index.html">Reference</a>
-</li>
-<li class="active nav-item">
-  <a class="nav-link" href="../news/index.html">Changelog</a>
-</li>
-      </ul><form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="../search.json" id="search-input" placeholder="Search for" autocomplete="off"></form>
-
-      <ul class="navbar-nav"><li class="nav-item">
-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="active nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-news">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Changelog</h1>
-      <small>Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/NEWS.md" class="external-link"><code>NEWS.md</code></a></small>
+      <small>Source: <a href="https://github.com/marberts/gpindex/blob/main/NEWS.md" class="external-link"><code>NEWS.md</code></a></small>
     </div>
 
     <div class="section level2">
@@ -108,23 +93,23 @@ <h2 class="pkg-version" data-toc-text="0.3.1" id="version-031">Version 0.3.1<a c
 <li><p>Added some functions for standard outlier-detection methods for price relatives.</p></li>
 <li><p>Dropped the <code>scale</code> argument for <code><a href="../reference/generalized_mean.html">generalized_mean()</a></code>, as it really wasn’t needed and had the potential to make more problems than it solved.</p></li>
 </ul></div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/pkgdown.js b/pkgdown.js
index 5fccd9c..9757bf9 100644
--- a/pkgdown.js
+++ b/pkgdown.js
@@ -30,10 +30,10 @@
   /* Clipboard --------------------------*/
 
   function changeTooltipMessage(element, msg) {
-    var tooltipOriginalTitle=element.getAttribute('data-original-title');
-    element.setAttribute('data-original-title', msg);
+    var tooltipOriginalTitle=element.getAttribute('data-bs-original-title');
+    element.setAttribute('data-bs-original-title', msg);
     $(element).tooltip('show');
-    element.setAttribute('data-original-title', tooltipOriginalTitle);
+    element.setAttribute('data-bs-original-title', tooltipOriginalTitle);
   }
 
   if(ClipboardJS.isSupported()) {
@@ -60,7 +60,7 @@
         e.clearSelection();
       });
 
-      clipboard.on('error', function() {
+      clipboard.on('error', function(e) {
         changeTooltipMessage(e.trigger,'Press Ctrl+C or Command+C to copy');
       });
 
@@ -152,5 +152,3 @@ async function searchFuse(query, callback) {
   });
   });
 })(window.jQuery || window.$)
-
-
diff --git a/pkgdown.yml b/pkgdown.yml
index d617652..f55538b 100644
--- a/pkgdown.yml
+++ b/pkgdown.yml
@@ -1,10 +1,9 @@
 pandoc: 3.1.11
-pkgdown: 2.0.8
+pkgdown: 2.1.0
 pkgdown_sha: ~
 articles:
   gpindex: gpindex.html
-last_built: 2024-04-12T20:28Z
+last_built: 2024-07-19T04:18Z
 urls:
   reference: https://marberts.github.io/gpindex/reference
   article: https://marberts.github.io/gpindex/articles
-
diff --git a/reference/arithmetic_agmean_index.html b/reference/arithmetic_agmean_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/arithmetic_agmean_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/arithmetic_contributions.html b/reference/arithmetic_contributions.html
new file mode 100644
index 0000000..e7f149d
--- /dev/null
+++ b/reference/arithmetic_contributions.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/contributions.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/contributions.html">
+  </head>
+</html>
+
diff --git a/reference/arithmetic_index.html b/reference/arithmetic_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/arithmetic_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/arithmetic_mean.html b/reference/arithmetic_mean.html
new file mode 100644
index 0000000..5ccfca1
--- /dev/null
+++ b/reference/arithmetic_mean.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/generalized_mean.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/generalized_mean.html">
+  </head>
+</html>
+
diff --git a/reference/back_period.html b/reference/back_period.html
index 5027e9c..8739094 100644
--- a/reference/back_period.html
+++ b/reference/back_period.html
@@ -1,54 +1,39 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="For each product, compute either the position of the previous period (back
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Offset a vector prices or quantities — back_period • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Offset a vector prices or quantities — back_period"><meta name="description" content="For each product, compute either the position of the previous period (back
 period), or the position of the first period (base period). Useful when price
-information is stored in a table."><title>Offset a vector prices or quantities — back_period • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Offset a vector prices or quantities — back_period"><meta property="og:description" content="For each product, compute either the position of the previous period (back
+information is stored in a table."><meta property="og:description" content="For each product, compute either the position of the previous period (back
 period), or the position of the first period (base period). Useful when price
-information is stored in a table."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+information is stored in a table."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
     <a href="#main" class="visually-hidden-focusable">Skip to contents</a>
-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
-    
+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
       <span class="navbar-toggler-icon"></span>
     </button>
 
     <div id="navbar" class="collapse navbar-collapse ms-3">
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+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="active nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Offset a vector prices or quantities</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/offset_prices.R" class="external-link"><code>R/offset_prices.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/offset_prices.R" class="external-link"><code>R/offset_prices.R</code></a></small>
       <div class="d-none name"><code>back_period.Rd</code></div>
     </div>
 
@@ -67,29 +52,29 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>period</dt>
+
+
+<dl><dt id="arg-period">period<a class="anchor" aria-label="anchor" href="#arg-period"></a></dt>
 <dd><p>A factor, or something that can be coerced into one, that
 gives the time period for each transaction. The ordering of time periods
 follows the levels of <code>period</code> to agree with
 <code><a href="https://rdrr.io/r/base/cut.POSIXt.html" class="external-link">cut()</a></code>.</p></dd>
 
 
-<dt>product</dt>
+<dt id="arg-product">product<a class="anchor" aria-label="anchor" href="#arg-product"></a></dt>
 <dd><p>A factor, or something that can be coerced into one, that
 gives the product identifier for each transaction. The default is to assume
 that all transactions are for the same product.</p></dd>
 
 
-<dt>match_first</dt>
+<dt id="arg-match-first">match_first<a class="anchor" aria-label="anchor" href="#arg-match-first"></a></dt>
 <dd><p>Should products in the first period match with
 themselves (the default)?</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p>Both functions return a numeric vector of indices for the back/base periods.
+    <p>Both functions return a numeric vector of indices for the back/base periods.
 With <code>back_period()</code>, for all periods after the first, the resulting vector
 gives the location of the corresponding product in the previous period.
 With <code>base_period()</code>, the resulting vector gives the location of the
@@ -144,23 +129,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/balanced.html b/reference/balanced.html
index 9198ee0..aa24842 100644
--- a/reference/balanced.html
+++ b/reference/balanced.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Makes a function balance the removal of NAs across multiple input vectors."><title>Balanced operator — balanced • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Balanced operator — balanced"><meta property="og:description" content="Makes a function balance the removal of NAs across multiple input vectors."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
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-    
 
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+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
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     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
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+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
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+
   </div>
 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Balanced operator</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/operators.R" class="external-link"><code>R/operators.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/operators.R" class="external-link"><code>R/operators.R</code></a></small>
       <div class="d-none name"><code>balanced.Rd</code></div>
     </div>
 
@@ -59,26 +44,26 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>f</dt>
+
+
+<dl><dt id="arg-f">f<a class="anchor" aria-label="anchor" href="#arg-f"></a></dt>
 <dd><p>A function.</p></dd>
 
 
-<dt>...</dt>
+<dt id="arg--">...<a class="anchor" aria-label="anchor" href="#arg--"></a></dt>
 <dd><p>Deprecated. Additional arguments to <code>f</code> that should <em>not</em> be
 balanced.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p>A function like <code>f</code> with a new argument <code>na.rm</code>. If <code>na.rm = TRUE</code> then
+    <p>A function like <code>f</code> with a new argument <code>na.rm</code>. If <code>na.rm = TRUE</code> then
 <code><a href="https://rdrr.io/r/stats/complete.cases.html" class="external-link">complete.cases()</a></code> is used to remove missing values across all inputs
 prior to calling <code>f</code>.</p>
     </div>
     <div class="section level2">
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
-    <div class="dont-index"><p>Other operators: 
+    <div class="dont-index"><p>Other operators:
 <code><a href="grouped.html">grouped</a>()</code>,
 <code><a href="quantity_index.html">quantity_index</a>()</code></p></div>
     </div>
@@ -112,23 +97,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/base_period.html b/reference/base_period.html
new file mode 100644
index 0000000..fda4862
--- /dev/null
+++ b/reference/base_period.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/back_period.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/back_period.html">
+  </head>
+</html>
+
diff --git a/reference/bw_index.html b/reference/bw_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/bw_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/contraharmonic_mean.html b/reference/contraharmonic_mean.html
new file mode 100644
index 0000000..b76e82a
--- /dev/null
+++ b/reference/contraharmonic_mean.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/lehmer_mean.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/lehmer_mean.html">
+  </head>
+</html>
+
diff --git a/reference/contributions.html b/reference/contributions.html
index 8f3c121..e538a77 100644
--- a/reference/contributions.html
+++ b/reference/contributions.html
@@ -1,56 +1,41 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Calculate additive percent-change contributions for generalized-mean price
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Percent-change contributions — contributions • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Percent-change contributions — contributions"><meta name="description" content="Calculate additive percent-change contributions for generalized-mean price
 indexes, and indexes that nest two levels of generalized means consisting of
 an outer generalized mean and two inner generalized means (e.g., the Fisher
-index)."><title>Percent-change contributions — contributions • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Percent-change contributions — contributions"><meta property="og:description" content="Calculate additive percent-change contributions for generalized-mean price
+index)."><meta property="og:description" content="Calculate additive percent-change contributions for generalized-mean price
 indexes, and indexes that nest two levels of generalized means consisting of
 an outer generalized mean and two inner generalized means (e.g., the Fisher
-index)."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
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 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Percent-change contributions</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/contributions.R" class="external-link"><code>R/contributions.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/contributions.R" class="external-link"><code>R/contributions.R</code></a></small>
       <div class="d-none name"><code>contributions.Rd</code></div>
     </div>
 
@@ -82,68 +67,54 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>r</dt>
+
+
+<dl><dt id="arg-r">r<a class="anchor" aria-label="anchor" href="#arg-r"></a></dt>
 <dd><p>A finite number giving the order of the generalized mean.</p></dd>
 
 
-<dt>x</dt>
+<dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
 <dd><p>A strictly positive numeric vector.</p></dd>
 
 
-<dt>w, w1, w2</dt>
+<dt id="arg-w-w-w-">w, w1, w2<a class="anchor" aria-label="anchor" href="#arg-w-w-w-"></a></dt>
 <dd><p>A strictly positive numeric vector of weights, the same length
 as <code>x</code>. The default is to equally weight each element of <code>x</code>.</p></dd>
 
 
-<dt>r1</dt>
+<dt id="arg-r-">r1<a class="anchor" aria-label="anchor" href="#arg-r-"></a></dt>
 <dd><p>A finite number giving the order of the outer generalized mean.</p></dd>
 
 
-<dt>r2</dt>
+<dt id="arg-r-">r2<a class="anchor" aria-label="anchor" href="#arg-r-"></a></dt>
 <dd><p>A pair of finite numbers giving the order of the inner generalized
 means.</p></dd>
 
 
-<dt>t</dt>
+<dt id="arg-t">t<a class="anchor" aria-label="anchor" href="#arg-t"></a></dt>
 <dd><p>A pair of strictly positive weights for the inner generalized
 means. The default is equal weights.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p><code>contributions()</code> returns a function:</p>
-
-
+    <p><code>contributions()</code> returns a function:</p>
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">x</span>, <span class="va">w</span> <span class="op">=</span> <span class="cn">NULL</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
-
 <p>This computes the additive contribution for each element of <code>x</code> in an
 index based on the generalized mean of order <code>r</code> with weights <code>w</code>.</p>
-
-
 <p><code>nested_contributions()</code> and <code>nested_contributions2()</code> return a
 function:</p>
-
-
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">x</span>, <span class="va">w1</span> <span class="op">=</span> <span class="cn">NULL</span>, <span class="va">w2</span> <span class="op">=</span> <span class="cn">NULL</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
-
 <p>This computes the additive contribution for each element of <code>x</code> when a
 generalized mean of order <code>r1</code> aggregates a generalized-mean index of
 order <code>r2[1]</code> with weights <code>w1</code> and a generalized-mean index of
 order <code>r2[2]</code> with weights <code>w2</code>.</p>
-
-
 <p><code>arithmetic_contributions()</code>, <code>geometric_contributions()</code>, and
 <code>harmonic_contributions()</code> each return a numeric vector, the same
 length as <code>x</code>, giving the contribution of each element of <code>x</code> in
 an arithmetic, geometric, or harmonic index.</p>
-
-
 <p><code>fisher_contributions()</code> and <code>fisher_contributions2()</code> each return
 a numeric vector, the same length as <code>x</code>, giving the contribution of
 each element of <code>x</code> when a geometric mean aggregates an arithmetic mean
@@ -188,16 +159,16 @@ <h2 id="references">References<a class="anchor" aria-label="anchor" href="#refer
     <p>Balk, B. M. (2008). <em>Price and Quantity Index Numbers</em>.
 Cambridge University Press.</p>
 <p>Hallerbach, W. G. (2005). An alternative decomposition of the Fisher index.
-<em>Economics Letters</em>, 86(2):147--152</p>
+<em>Economics Letters</em>, 86(2):147–152</p>
 <p>Martin, S. (2021). A note on general decompositions for price indexes.
 <em>Prices Analytical Series</em>, Statistics Canada catalogue no. 62F0014M.
 Statistics Canada, Ottawa.</p>
 <p>Reinsdorf, M. B., Diewert, W. E., and Ehemann, C. (2002). Additive
 decompositions for Fisher, Törnqvist and geometric mean indexes.
-<em>Journal of Economic and Social Measurement</em>, 28(1-2):51--61.</p>
+<em>Journal of Economic and Social Measurement</em>, 28(1-2):51–61.</p>
 <p>Webster, M. and Tarnow-Mordi, R. C. (2019). Decomposing multilateral price
 indexes into the contributions of individual commodities.
-<em>Journal of Official Statistics</em>, 35(2):461--486.</p>
+<em>Journal of Official Statistics</em>, 35(2):461–486.</p>
     </div>
     <div class="section level2">
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
@@ -375,23 +346,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
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new file mode 100644
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--- /dev/null
+++ b/reference/cswd_index.html
@@ -0,0 +1,8 @@
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+  <head>
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new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/cswdb_index.html
@@ -0,0 +1,8 @@
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diff --git a/reference/extended_mean.html b/reference/extended_mean.html
index d1ae816..d12c7e5 100644
--- a/reference/extended_mean.html
+++ b/reference/extended_mean.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
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-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="active nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Extended mean</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/means.R" class="external-link"><code>R/means.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/means.R" class="external-link"><code>R/means.R</code></a></small>
       <div class="d-none name"><code>extended_mean.Rd</code></div>
     </div>
 
@@ -63,35 +48,29 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>r, s</dt>
+
+
+<dl><dt id="arg-r-s">r, s<a class="anchor" aria-label="anchor" href="#arg-r-s"></a></dt>
 <dd><p>A finite number giving the order of the generalized logarithmic
 mean / extended mean.</p></dd>
 
 
-<dt>a, b</dt>
+<dt id="arg-a-b">a, b<a class="anchor" aria-label="anchor" href="#arg-a-b"></a></dt>
 <dd><p>A strictly positive numeric vector.</p></dd>
 
 
-<dt>tol</dt>
+<dt id="arg-tol">tol<a class="anchor" aria-label="anchor" href="#arg-tol"></a></dt>
 <dd><p>The tolerance used to determine if <code>a == b</code>.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p><code>generalized_logmean()</code> and <code>extended_mean()</code> return a
+    <p><code>generalized_logmean()</code> and <code>extended_mean()</code> return a
 function:</p>
-
-
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">a</span>, <span class="va">b</span>, <span class="va">tol</span> <span class="op">=</span> <span class="va">.Machine</span><span class="op">$</span><span class="va">double.eps</span><span class="op">^</span><span class="fl">0.5</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
-
 <p>This computes the component-wise generalized logarithmic mean of order
 <code>r</code>, or the extended mean of orders <code>r</code> and <code>s</code>, of <code>a</code> and <code>b</code>.</p>
-
-
 <p><code>logmean()</code> returns a numeric vector, the same length as
 <code>max(length(a), length(b))</code>, giving the component-wise logarithmic mean
 of <code>a</code> and <code>b</code>.</p>
@@ -145,7 +124,7 @@ <h2 id="references">References<a class="anchor" aria-label="anchor" href="#refer
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
     <div class="dont-index"><p><code><a href="transmute_weights.html">transmute_weights()</a></code> uses the extended mean to turn a generalized
 mean of order \(r\) into a generalized mean of order \(s\).</p>
-<p>Other means: 
+<p>Other means:
 <code><a href="generalized_mean.html">generalized_mean</a>()</code>,
 <code><a href="lehmer_mean.html">lehmer_mean</a>()</code>,
 <code><a href="nested_mean.html">nested_mean</a>()</code></p></div>
@@ -267,23 +246,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/factor_weights.html b/reference/factor_weights.html
index f63fa9a..c7af1f5 100644
--- a/reference/factor_weights.html
+++ b/reference/factor_weights.html
@@ -1,54 +1,39 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Factor weights to turn the generalized mean of a product into the product
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Factor weights — factor_weights • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Factor weights — factor_weights"><meta name="description" content="Factor weights to turn the generalized mean of a product into the product
 of generalized means. Useful for price-updating the weights in a
-generalized-mean index."><title>Factor weights — factor_weights • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Factor weights — factor_weights"><meta property="og:description" content="Factor weights to turn the generalized mean of a product into the product
+generalized-mean index."><meta property="og:description" content="Factor weights to turn the generalized mean of a product into the product
 of generalized means. Useful for price-updating the weights in a
-generalized-mean index."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+generalized-mean index."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
     <a href="#main" class="visually-hidden-focusable">Skip to contents</a>
-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
-    
+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
       <span class="navbar-toggler-icon"></span>
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-<li class="active nav-item">
-  <a class="nav-link" href="../reference/index.html">Reference</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="../news/index.html">Changelog</a>
-</li>
-      </ul><form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="../search.json" id="search-input" placeholder="Search for" autocomplete="off"></form>
-
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-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="active nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Factor weights</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/weights.R" class="external-link"><code>R/weights.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/weights.R" class="external-link"><code>R/weights.R</code></a></small>
       <div class="d-none name"><code>factor_weights.Rd</code></div>
     </div>
 
@@ -67,30 +52,26 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>r</dt>
+
+
+<dl><dt id="arg-r">r<a class="anchor" aria-label="anchor" href="#arg-r"></a></dt>
 <dd><p>A finite number giving the order of the generalized mean.</p></dd>
 
 
-<dt>x</dt>
+<dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
 <dd><p>A strictly positive numeric vector.</p></dd>
 
 
-<dt>w</dt>
+<dt id="arg-w">w<a class="anchor" aria-label="anchor" href="#arg-w"></a></dt>
 <dd><p>A strictly positive numeric vector of weights, the same length as
 <code>x</code>. The default is to equally weight each element of <code>x</code>.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p><code>factor_weights()</code> return a function:</p>
-
-
+    <p><code>factor_weights()</code> return a function:</p>
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">x</span>, <span class="va">w</span> <span class="op">=</span> <span class="cn">NULL</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
-
 <p><code>update_weights()</code> returns a numeric vector the same length as <code>x</code>.</p>
     </div>
     <div class="section level2">
@@ -112,7 +93,7 @@ <h2 id="details">Details<a class="anchor" aria-label="anchor" href="#details"></
     </div>
     <div class="section level2">
     <h2 id="references">References<a class="anchor" aria-label="anchor" href="#references"></a></h2>
-    <p>ILO, IMF, OECD, Eurostat, UN, and World Bank. (2004).
+    <p>ILO, IMF, OECD, UNECE, and World Bank. (2004).
 <em>Producer Price Index Manual: Theory and Practice</em>.
 International Monetary Fund.</p>
     </div>
@@ -120,7 +101,7 @@ <h2 id="references">References<a class="anchor" aria-label="anchor" href="#refer
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
     <div class="dont-index"><p><code><a href="generalized_mean.html">generalized_mean()</a></code> for the generalized mean.</p>
 <p><code><a href="grouped.html">grouped()</a></code> to make these functions operate on grouped data.</p>
-<p>Other weights functions: 
+<p>Other weights functions:
 <code><a href="scale_weights.html">scale_weights</a>()</code>,
 <code><a href="transmute_weights.html">transmute_weights</a>()</code></p></div>
     </div>
@@ -153,23 +134,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/fisher_contributions.html b/reference/fisher_contributions.html
new file mode 100644
index 0000000..e7f149d
--- /dev/null
+++ b/reference/fisher_contributions.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/contributions.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/contributions.html">
+  </head>
+</html>
+
diff --git a/reference/fisher_contributions2.html b/reference/fisher_contributions2.html
new file mode 100644
index 0000000..e7f149d
--- /dev/null
+++ b/reference/fisher_contributions2.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/contributions.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/contributions.html">
+  </head>
+</html>
+
diff --git a/reference/fisher_geks.html b/reference/fisher_geks.html
new file mode 100644
index 0000000..31af25d
--- /dev/null
+++ b/reference/fisher_geks.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/geks.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/geks.html">
+  </head>
+</html>
+
diff --git a/reference/fisher_index.html b/reference/fisher_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/fisher_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/fisher_mean.html b/reference/fisher_mean.html
new file mode 100644
index 0000000..a4fd91c
--- /dev/null
+++ b/reference/fisher_mean.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/nested_mean.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/nested_mean.html">
+  </head>
+</html>
+
diff --git a/reference/fixed_cutoff.html b/reference/fixed_cutoff.html
new file mode 100644
index 0000000..37b2b61
--- /dev/null
+++ b/reference/fixed_cutoff.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/outliers.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/outliers.html">
+  </head>
+</html>
+
diff --git a/reference/geks.html b/reference/geks.html
index 0251a5c..3466823 100644
--- a/reference/geks.html
+++ b/reference/geks.html
@@ -1,61 +1,43 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Calculate a generalized inter-temporal GEKS price index over a rolling
-window, as described in chapter 7 of Balk (2008), by Ivancic et al. (2011),
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 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>GEKS index</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/geks.R" class="external-link"><code>R/geks.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/geks.R" class="external-link"><code>R/geks.R</code></a></small>
       <div class="d-none name"><code>geks.Rd</code></div>
     </div>
 
     <div class="ref-description section level2">
     <p>Calculate a generalized inter-temporal GEKS price index over a rolling
-window, as described in chapter 7 of Balk (2008), by Ivancic et al. (2011),
-and in chapter 10 of the CPI manual (2020).</p>
+window.</p>
     </div>
 
     <div class="section level2">
@@ -95,46 +77,48 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>f</dt>
+
+
+<dl><dt id="arg-f">f<a class="anchor" aria-label="anchor" href="#arg-f"></a></dt>
 <dd><p>A <a href="price_indexes.html">price index function</a> that uses information on
 both base and current-period prices and quantities, and satisfies the
 time-reversal test. Usually a Törnqvist, Fisher, or Walsh index.</p></dd>
 
 
-<dt>r</dt>
+<dt id="arg-r">r<a class="anchor" aria-label="anchor" href="#arg-r"></a></dt>
 <dd><p>A finite number giving the order of the generalized mean used to
 average price indexes over the rolling window. The default uses a
 geometric mean.</p></dd>
 
 
-<dt>p</dt>
+<dt id="arg-p">p<a class="anchor" aria-label="anchor" href="#arg-p"></a></dt>
 <dd><p>A numeric vector of prices, the same length as <code>q</code>.</p></dd>
 
 
-<dt>q</dt>
+<dt id="arg-q">q<a class="anchor" aria-label="anchor" href="#arg-q"></a></dt>
 <dd><p>A numeric vector of quantities, the same length as <code>p</code>.</p></dd>
 
 
-<dt>period</dt>
+<dt id="arg-period">period<a class="anchor" aria-label="anchor" href="#arg-period"></a></dt>
 <dd><p>A factor, or something that can be coerced into one, that
 gives the corresponding time period for each element in <code>p</code> and
 <code>q</code>. The ordering of time periods follows the levels of <code>period</code>
 to agree with <code><a href="https://rdrr.io/r/base/cut.POSIXt.html" class="external-link">cut()</a></code>.</p></dd>
 
 
-<dt>product</dt>
+<dt id="arg-product">product<a class="anchor" aria-label="anchor" href="#arg-product"></a></dt>
 <dd><p>A factor, or something that can be coerced into one, that
 gives the corresponding product identifier for each element in <code>p</code> and
 <code>q</code>.</p></dd>
 
 
-<dt>window</dt>
+<dt id="arg-window">window<a class="anchor" aria-label="anchor" href="#arg-window"></a></dt>
 <dd><p>A positive integer giving the length of the rolling window.
 The default is a window that encompasses all periods in <code>period</code>.
 Non-integers are truncated towards zero.</p></dd>
 
 
-<dt>n</dt>
+<dt id="arg-n">n<a class="anchor" aria-label="anchor" href="#arg-n"></a></dt>
 <dd><p>A positive integer giving the length of the index series for each
 window, starting from the end of the window. For example, if there are 13
 periods in <code>window</code>, setting <code>n = 1</code> gives the index for period 13. The
@@ -142,27 +126,19 @@ <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#argumen
 truncated towards zero.</p></dd>
 
 
-<dt>na.rm</dt>
+<dt id="arg-na-rm">na.rm<a class="anchor" aria-label="anchor" href="#arg-na-rm"></a></dt>
 <dd><p>Passed to <code>f</code> to control if missing values are removed.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p><code>geks()</code> returns a function:</p>
-
-
+    <p><code>geks()</code> returns a function:</p>
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">p</span>, <span class="va">q</span>, <span class="va">period</span>, <span class="va">product</span>, <span class="va">window</span> <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/nlevels.html" class="external-link">nlevels</a></span><span class="op">(</span><span class="va">period</span><span class="op">)</span>, <span class="va">n</span> <span class="op">=</span></span>
 <span>         <span class="va">window</span> <span class="op">-</span> <span class="fl">1</span>, <span class="va">na.rm</span> <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
-
 <p>This calculates a period-over-period GEKS index with the desired
 index-number formula, returning a list for each window with a named-numeric
 vector of index values.</p>
-
-
 <p><code>tornqvist_geks()</code>, <code>fisher_geks()</code>, and <code>walsh_geks()</code> each return a list
 with a named numeric vector giving the value of the respective
 period-over-period GEKS index for each window.</p>
@@ -179,18 +155,18 @@ <h2 id="note">Note<a class="anchor" aria-label="anchor" href="#note"></a></h2>
     <h2 id="references">References<a class="anchor" aria-label="anchor" href="#references"></a></h2>
     <p>Balk, B. M. (2008). <em>Price and Quantity Index Numbers</em>.
 Cambridge University Press.</p>
-<p>ILO, IMF, OECD, Eurostat, UN, and World Bank. (2020).
-<em>Consumer Price Index Manual: Theory and Practice</em>.
+<p>IMF, ILO, Eurostat, UNECE, OECD, and World Bank. (2020).
+<em>Consumer Price Index Manual: Concepts and Methods</em>.
 International Monetary Fund.</p>
 <p>Ivancic, L., Diewert, W. E., and Fox, K. J. (2011). Scanner data, time
 aggregation and the construction of price indexes.
-<em>Journal of Econometrics</em>, 161(1): 24--35.</p>
+<em>Journal of Econometrics</em>, 161(1): 24–35.</p>
     </div>
     <div class="section level2">
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
     <div class="dont-index"><p><code>GEKSIndex()</code> in the <span class="pkg">indexNumR</span> package for an implementation of the
 GEKS index with more options.</p>
-<p>Other price index functions: 
+<p>Other price index functions:
 <code><a href="index_weights.html">index_weights</a>()</code>,
 <code><a href="price_indexes.html">price_indexes</a></code>,
 <code><a href="splice_index.html">splice_index</a>()</code></p></div>
@@ -265,23 +241,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
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diff --git a/reference/generalized_logmean.html b/reference/generalized_logmean.html
new file mode 100644
index 0000000..8df1950
--- /dev/null
+++ b/reference/generalized_logmean.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
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diff --git a/reference/generalized_mean.html b/reference/generalized_mean.html
index 2417f4a..11996ac 100644
--- a/reference/generalized_mean.html
+++ b/reference/generalized_mean.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
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       <img src="../logo.png" class="logo" alt=""><h1>Generalized mean</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/means.R" class="external-link"><code>R/means.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/means.R" class="external-link"><code>R/means.R</code></a></small>
       <div class="d-none name"><code>generalized_mean.Rd</code></div>
     </div>
 
@@ -65,39 +50,33 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>r</dt>
+
+
+<dl><dt id="arg-r">r<a class="anchor" aria-label="anchor" href="#arg-r"></a></dt>
 <dd><p>A finite number giving the order of the generalized mean.</p></dd>
 
 
-<dt>x</dt>
+<dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
 <dd><p>A strictly positive numeric vector.</p></dd>
 
 
-<dt>w</dt>
+<dt id="arg-w">w<a class="anchor" aria-label="anchor" href="#arg-w"></a></dt>
 <dd><p>A strictly positive numeric vector of weights, the same length as
 <code>x</code>. The default is to equally weight each element of <code>x</code>.</p></dd>
 
 
-<dt>na.rm</dt>
+<dt id="arg-na-rm">na.rm<a class="anchor" aria-label="anchor" href="#arg-na-rm"></a></dt>
 <dd><p>Should missing values in <code>x</code> and <code>w</code> be removed? By
 default missing values in <code>x</code> or <code>w</code> return a missing value.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p><code>generalized_mean()</code> returns a function:</p>
-
-
+    <p><code>generalized_mean()</code> returns a function:</p>
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">x</span>, <span class="va">w</span> <span class="op">=</span> <span class="cn">NULL</span>, <span class="va">na.rm</span> <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
-
 <p>This computes the generalized mean of order <code>r</code> of <code>x</code> with
 weights <code>w</code>.</p>
-
-
 <p><code>arithmetic_mean()</code>, <code>geometric_mean()</code>, and
 <code>harmonic_mean()</code> each return a numeric value for the generalized means
 of order 1, 0, and -1.</p>
@@ -170,8 +149,8 @@ <h2 id="references">References<a class="anchor" aria-label="anchor" href="#refer
 Company.</p>
 <p>Hardy, G., Littlewood, J. E., and Polya, G. (1952). <em>Inequalities</em> (2nd
 edition). Cambridge University Press.</p>
-<p>ILO, IMF, OECD, Eurostat, UN, and World Bank. (2020).
-<em>Consumer Price Index Manual: Theory and Practice</em>.
+<p>IMF, ILO, Eurostat, UNECE, OECD, and World Bank. (2020).
+<em>Consumer Price Index Manual: Concepts and Methods</em>.
 International Monetary Fund.</p>
 <p>Lord, N. (2002). Does Smaller Spread Always Mean Larger Product?
 <em>The Mathematical Gazette</em>, 86(506): 273-274.</p>
@@ -188,7 +167,7 @@ <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"
 wrappers that use <code>generalized_mean()</code> to calculate common indexes.</p>
 <p><code><a href="back_period.html">back_period()</a></code>/<code><a href="back_period.html">base_period()</a></code> for a simple utility
 function to turn prices in a table into price relatives.</p>
-<p>Other means: 
+<p>Other means:
 <code><a href="extended_mean.html">extended_mean</a>()</code>,
 <code><a href="lehmer_mean.html">lehmer_mean</a>()</code>,
 <code><a href="nested_mean.html">nested_mean</a>()</code></p></div>
@@ -301,23 +280,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
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diff --git a/reference/geometric_agmean_index.html b/reference/geometric_agmean_index.html
new file mode 100644
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@@ -0,0 +1,8 @@
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diff --git a/reference/geometric_contributions.html b/reference/geometric_contributions.html
new file mode 100644
index 0000000..e7f149d
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@@ -0,0 +1,8 @@
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new file mode 100644
index 0000000..bc3dd00
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@@ -0,0 +1,8 @@
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+  </head>
+</html>
+
diff --git a/reference/geometric_mean.html b/reference/geometric_mean.html
new file mode 100644
index 0000000..5ccfca1
--- /dev/null
+++ b/reference/geometric_mean.html
@@ -0,0 +1,8 @@
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index 871b252..b75be05 100644
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+++ b/reference/gpindex-package.html
@@ -1,58 +1,52 @@
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-Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008, ISBN:978-1-107-40496-0), von der Lippe (2001, ISBN:3-8246-0638-0), and the CPI manual (2020, ISBN:978-1-51354-298-0)."><title>gpindex: Generalized Price and Quantity Indexes — gpindex-package • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="gpindex: Generalized Price and Quantity Indexes — gpindex-package"><meta property="og:description" content="
-Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008, ISBN:978-1-107-40496-0), von der Lippe (2001, ISBN:3-8246-0638-0), and the CPI manual (2020, ISBN:978-1-51354-298-0)."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
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+Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008, doi:10.1017/CBO9780511720758
+), von der Lippe (2007, doi:10.3726/978-3-653-01120-3
+), and the CPI manual (2020, doi:10.5089/9781484354841.069
+)."><meta property="og:description" content="
+Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008, doi:10.1017/CBO9780511720758
+), von der Lippe (2007, doi:10.3726/978-3-653-01120-3
+), and the CPI manual (2020, doi:10.5089/9781484354841.069
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       <img src="../logo.png" class="logo" alt=""><h1>gpindex: Generalized Price and Quantity Indexes</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/gpindex-package.R" class="external-link"><code>R/gpindex-package.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/gpindex-package.R" class="external-link"><code>R/gpindex-package.R</code></a></small>
       <div class="d-none name"><code>gpindex-package.Rd</code></div>
     </div>
 
     <div class="ref-description section level2">
     <p></p>
-<p>Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008, ISBN:978-1-107-40496-0), von der Lippe (2001, ISBN:3-8246-0638-0), and the CPI manual (2020, ISBN:978-1-51354-298-0).</p>
+<p>Tools to build and work with bilateral generalized-mean price indexes (and by extension quantity indexes), and indexes composed of generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers the core mathematical machinery for making bilateral price indexes, computing price relatives, detecting outliers, and decomposing indexes, with wrappers for all common (and many uncommon) index-number formulas. Implements and extends many of the methods in Balk (2008, <a href="https://doi.org/10.1017/CBO9780511720758" class="external-link">doi:10.1017/CBO9780511720758</a>
+), von der Lippe (2007, <a href="https://doi.org/10.3726/978-3-653-01120-3" class="external-link">doi:10.3726/978-3-653-01120-3</a>
+), and the CPI manual (2020, <a href="https://doi.org/10.5089/9781484354841.069" class="external-link">doi:10.5089/9781484354841.069</a>
+).</p>
     </div>
 
 
@@ -68,23 +62,23 @@ <h2 id="author">Author<a class="anchor" aria-label="anchor" href="#author"></a><
     <p><strong>Maintainer</strong>: Steve Martin <a href="mailto:marberts@protonmail.com">marberts@protonmail.com</a> (<a href="https://orcid.org/0000-0003-2544-9480" class="external-link">ORCID</a>) [copyright holder]</p>
     </div>
 
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
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-  
 
-  
+
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diff --git a/reference/gpindex.html b/reference/gpindex.html
new file mode 100644
index 0000000..0a0ee9d
--- /dev/null
+++ b/reference/gpindex.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/gpindex-package.html" />
+    <meta name="robots" content="noindex">
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+
diff --git a/reference/grouped.html b/reference/grouped.html
index d111779..adbbe0a 100644
--- a/reference/grouped.html
+++ b/reference/grouped.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Make a function applicable to grouped data."><title>Grouped operator — grouped • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Grouped operator — grouped"><meta property="og:description" content="Make a function applicable to grouped data."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
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-    
 
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+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
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+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
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-    
+
   </div>
 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Grouped operator</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/operators.R" class="external-link"><code>R/operators.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/operators.R" class="external-link"><code>R/operators.R</code></a></small>
       <div class="d-none name"><code>grouped.Rd</code></div>
     </div>
 
@@ -59,26 +44,26 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>f</dt>
+
+
+<dl><dt id="arg-f">f<a class="anchor" aria-label="anchor" href="#arg-f"></a></dt>
 <dd><p>A function.</p></dd>
 
 
-<dt>...</dt>
+<dt id="arg--">...<a class="anchor" aria-label="anchor" href="#arg--"></a></dt>
 <dd><p>Deprecated. Additional arguments to <code>f</code> that should <em>not</em> be
 treated as grouped.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p>A function like <code>f</code> with a new argument <code>group</code>. This accepts a factor to
+    <p>A function like <code>f</code> with a new argument <code>group</code>. This accepts a factor to
 split all other arguments in <code>f</code> into groups before applying <code>f</code> to each
 group and combining the results. It is similar to <code><a href="https://rdrr.io/r/stats/ave.html" class="external-link">ave()</a></code>, but more general.</p>
     </div>
     <div class="section level2">
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
-    <div class="dont-index"><p>Other operators: 
+    <div class="dont-index"><p>Other operators:
 <code><a href="balanced.html">balanced</a>()</code>,
 <code><a href="quantity_index.html">quantity_index</a>()</code></p></div>
     </div>
@@ -119,23 +104,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/harmonic_contributions.html b/reference/harmonic_contributions.html
new file mode 100644
index 0000000..e7f149d
--- /dev/null
+++ b/reference/harmonic_contributions.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/contributions.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/contributions.html">
+  </head>
+</html>
+
diff --git a/reference/harmonic_index.html b/reference/harmonic_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/harmonic_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/harmonic_mean.html b/reference/harmonic_mean.html
new file mode 100644
index 0000000..5ccfca1
--- /dev/null
+++ b/reference/harmonic_mean.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/generalized_mean.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/generalized_mean.html">
+  </head>
+</html>
+
diff --git a/reference/hb_transform.html b/reference/hb_transform.html
new file mode 100644
index 0000000..37b2b61
--- /dev/null
+++ b/reference/hb_transform.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/outliers.html" />
+    <meta name="robots" content="noindex">
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+  </head>
+</html>
+
diff --git a/reference/hlp_index.html b/reference/hlp_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/hlp_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
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+</html>
+
diff --git a/reference/index.html b/reference/index.html
index 9b6f15a..663a622 100644
--- a/reference/index.html
+++ b/reference/index.html
@@ -1,214 +1,217 @@
 <!DOCTYPE html>
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+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Package index • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Package index"><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
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-      <img src="../logo.png" class="logo" alt=""><h1>Function reference</h1>
+      <img src="../logo.png" class="logo" alt=""><h1>Package index</h1>
     </div>
 
     <div class="section level2">
       <h2 id="mathematical-functions">Mathematical functions<a class="anchor" aria-label="anchor" href="#mathematical-functions"></a></h2>
-      
-      
 
-      
-    </div><div id="" class="section level2">
-      
-      
-      
+
+
+
+    </div><div class="section level2">
+
+
+
 
       <dl><dt>
-          
-          <code><a href="generalized_mean.html">generalized_mean()</a></code> <code><a href="generalized_mean.html">arithmetic_mean()</a></code> <code><a href="generalized_mean.html">geometric_mean()</a></code> <code><a href="generalized_mean.html">harmonic_mean()</a></code> 
+
+          <code><a href="generalized_mean.html">generalized_mean()</a></code> <code><a href="generalized_mean.html">arithmetic_mean()</a></code> <code><a href="generalized_mean.html">geometric_mean()</a></code> <code><a href="generalized_mean.html">harmonic_mean()</a></code>
+
         </dt>
         <dd>Generalized mean</dd>
       </dl><dl><dt>
-          
-          <code><a href="extended_mean.html">extended_mean()</a></code> <code><a href="extended_mean.html">generalized_logmean()</a></code> <code><a href="extended_mean.html">logmean()</a></code> 
+
+          <code><a href="extended_mean.html">extended_mean()</a></code> <code><a href="extended_mean.html">generalized_logmean()</a></code> <code><a href="extended_mean.html">logmean()</a></code>
+
         </dt>
         <dd>Extended mean</dd>
       </dl><dl><dt>
-          
-          <code><a href="nested_mean.html">nested_mean()</a></code> <code><a href="nested_mean.html">fisher_mean()</a></code> 
+
+          <code><a href="nested_mean.html">nested_mean()</a></code> <code><a href="nested_mean.html">fisher_mean()</a></code>
+
         </dt>
         <dd>Nested generalized mean</dd>
       </dl><dl><dt>
-          
-          <code><a href="lehmer_mean.html">lehmer_mean()</a></code> <code><a href="lehmer_mean.html">contraharmonic_mean()</a></code> 
+
+          <code><a href="lehmer_mean.html">lehmer_mean()</a></code> <code><a href="lehmer_mean.html">contraharmonic_mean()</a></code>
+
         </dt>
         <dd>Lehmer mean</dd>
       </dl><dl><dt>
-          
-          <code><a href="transmute_weights.html">transmute_weights()</a></code> <code><a href="transmute_weights.html">nested_transmute()</a></code> <code><a href="transmute_weights.html">nested_transmute2()</a></code> 
+
+          <code><a href="transmute_weights.html">transmute_weights()</a></code> <code><a href="transmute_weights.html">nested_transmute()</a></code> <code><a href="transmute_weights.html">nested_transmute2()</a></code>
+
         </dt>
         <dd>Transmute weights</dd>
       </dl><dl><dt>
-          
-          <code><a href="factor_weights.html">factor_weights()</a></code> <code><a href="factor_weights.html">update_weights()</a></code> 
+
+          <code><a href="factor_weights.html">factor_weights()</a></code> <code><a href="factor_weights.html">update_weights()</a></code>
+
         </dt>
         <dd>Factor weights</dd>
       </dl><dl><dt>
-          
-          <code><a href="scale_weights.html">scale_weights()</a></code> 
+
+          <code><a href="scale_weights.html">scale_weights()</a></code>
+
         </dt>
         <dd>Scale weights</dd>
       </dl></div><div class="section level2">
       <h2 id="index-numbers">Index numbers<a class="anchor" aria-label="anchor" href="#index-numbers"></a></h2>
-      
-      
 
-      
-    </div><div id="" class="section level2">
-      
-      
-      
+
+
+
+    </div><div class="section level2">
+
+
+
 
       <dl><dt>
-          
-          <code><a href="price_indexes.html">arithmetic_index()</a></code> <code><a href="price_indexes.html">geometric_index()</a></code> <code><a href="price_indexes.html">harmonic_index()</a></code> <code><a href="price_indexes.html">laspeyres_index()</a></code> <code><a href="price_indexes.html">paasche_index()</a></code> <code><a href="price_indexes.html">jevons_index()</a></code> <code><a href="price_indexes.html">lowe_index()</a></code> <code><a href="price_indexes.html">young_index()</a></code> <code><a href="price_indexes.html">fisher_index()</a></code> <code><a href="price_indexes.html">hlp_index()</a></code> <code><a href="price_indexes.html">lm_index()</a></code> <code><a href="price_indexes.html">cswd_index()</a></code> <code><a href="price_indexes.html">cswdb_index()</a></code> <code><a href="price_indexes.html">bw_index()</a></code> <code><a href="price_indexes.html">stuvel_index()</a></code> <code><a href="price_indexes.html">arithmetic_agmean_index()</a></code> <code><a href="price_indexes.html">geometric_agmean_index()</a></code> <code><a href="price_indexes.html">lehr_index()</a></code> 
+
+          <code><a href="price_indexes.html">arithmetic_index()</a></code> <code><a href="price_indexes.html">geometric_index()</a></code> <code><a href="price_indexes.html">harmonic_index()</a></code> <code><a href="price_indexes.html">laspeyres_index()</a></code> <code><a href="price_indexes.html">paasche_index()</a></code> <code><a href="price_indexes.html">jevons_index()</a></code> <code><a href="price_indexes.html">lowe_index()</a></code> <code><a href="price_indexes.html">young_index()</a></code> <code><a href="price_indexes.html">fisher_index()</a></code> <code><a href="price_indexes.html">hlp_index()</a></code> <code><a href="price_indexes.html">lm_index()</a></code> <code><a href="price_indexes.html">cswd_index()</a></code> <code><a href="price_indexes.html">cswdb_index()</a></code> <code><a href="price_indexes.html">bw_index()</a></code> <code><a href="price_indexes.html">stuvel_index()</a></code> <code><a href="price_indexes.html">arithmetic_agmean_index()</a></code> <code><a href="price_indexes.html">geometric_agmean_index()</a></code> <code><a href="price_indexes.html">lehr_index()</a></code>
+
         </dt>
         <dd>Price indexes</dd>
       </dl><dl><dt>
-          
-          <code><a href="index_weights.html">index_weights()</a></code> 
+
+          <code><a href="index_weights.html">index_weights()</a></code>
+
         </dt>
         <dd>Index weights</dd>
       </dl><dl><dt>
-          
-          <code><a href="geks.html">geks()</a></code> <code><a href="geks.html">tornqvist_geks()</a></code> <code><a href="geks.html">fisher_geks()</a></code> <code><a href="geks.html">walsh_geks()</a></code> 
+
+          <code><a href="geks.html">geks()</a></code> <code><a href="geks.html">tornqvist_geks()</a></code> <code><a href="geks.html">fisher_geks()</a></code> <code><a href="geks.html">walsh_geks()</a></code>
+
         </dt>
         <dd>GEKS index</dd>
       </dl><dl><dt>
-          
-          <code><a href="splice_index.html">splice_index()</a></code> 
+
+          <code><a href="splice_index.html">splice_index()</a></code>
+
         </dt>
         <dd>Splice an index series</dd>
       </dl></div><div class="section level2">
       <h2 id="percent-change-contributions">Percent-change contributions<a class="anchor" aria-label="anchor" href="#percent-change-contributions"></a></h2>
-      
-      
 
-      
-    </div><div id="" class="section level2">
-      
-      
-      
+
+
+
+    </div><div class="section level2">
+
+
+
 
       <dl><dt>
-          
-          <code><a href="contributions.html">contributions()</a></code> <code><a href="contributions.html">arithmetic_contributions()</a></code> <code><a href="contributions.html">geometric_contributions()</a></code> <code><a href="contributions.html">harmonic_contributions()</a></code> <code><a href="contributions.html">nested_contributions()</a></code> <code><a href="contributions.html">nested_contributions2()</a></code> <code><a href="contributions.html">fisher_contributions()</a></code> <code><a href="contributions.html">fisher_contributions2()</a></code> 
+
+          <code><a href="contributions.html">contributions()</a></code> <code><a href="contributions.html">arithmetic_contributions()</a></code> <code><a href="contributions.html">geometric_contributions()</a></code> <code><a href="contributions.html">harmonic_contributions()</a></code> <code><a href="contributions.html">nested_contributions()</a></code> <code><a href="contributions.html">nested_contributions2()</a></code> <code><a href="contributions.html">fisher_contributions()</a></code> <code><a href="contributions.html">fisher_contributions2()</a></code>
+
         </dt>
         <dd>Percent-change contributions</dd>
       </dl></div><div class="section level2">
       <h2 id="utilities">Utilities<a class="anchor" aria-label="anchor" href="#utilities"></a></h2>
-      
-      
 
-      
-    </div><div id="" class="section level2">
-      
-      
-      
+
+
+
+    </div><div class="section level2">
+
+
+
 
       <dl><dt>
-          
-          <code><a href="outliers.html">quartile_method()</a></code> <code><a href="outliers.html">resistant_fences()</a></code> <code><a href="outliers.html">robust_z()</a></code> <code><a href="outliers.html">fixed_cutoff()</a></code> <code><a href="outliers.html">tukey_algorithm()</a></code> <code><a href="outliers.html">hb_transform()</a></code> 
+
+          <code><a href="outliers.html">quartile_method()</a></code> <code><a href="outliers.html">resistant_fences()</a></code> <code><a href="outliers.html">robust_z()</a></code> <code><a href="outliers.html">fixed_cutoff()</a></code> <code><a href="outliers.html">tukey_algorithm()</a></code> <code><a href="outliers.html">hb_transform()</a></code>
+
         </dt>
         <dd>Outlier detection for price relatives</dd>
       </dl><dl><dt>
-          
-          <code><a href="back_period.html">back_period()</a></code> <code><a href="back_period.html">base_period()</a></code> 
+
+          <code><a href="back_period.html">back_period()</a></code> <code><a href="back_period.html">base_period()</a></code>
+
         </dt>
         <dd>Offset a vector prices or quantities</dd>
       </dl><dl><dt>
-          
-          <code><a href="quantity_index.html">quantity_index()</a></code> 
+
+          <code><a href="quantity_index.html">quantity_index()</a></code>
+
         </dt>
         <dd>Quantity index operator</dd>
       </dl><dl><dt>
-          
-          <code><a href="grouped.html">grouped()</a></code> 
+
+          <code><a href="grouped.html">grouped()</a></code>
+
         </dt>
         <dd>Grouped operator</dd>
       </dl><dl><dt>
-          
-          <code><a href="balanced.html">balanced()</a></code> 
+
+          <code><a href="balanced.html">balanced()</a></code>
+
         </dt>
         <dd>Balanced operator</dd>
       </dl></div><div class="section level2">
       <h2 id="data">Data<a class="anchor" aria-label="anchor" href="#data"></a></h2>
-      
-      
 
-      
-    </div><div id="" class="section level2">
-      
-      
-      
+
+
+
+    </div><div class="section level2">
+
+
+
 
       <dl><dt>
-          
-          <code><a href="price_data.html">price_data</a></code> <code><a href="price_data.html">price6</a></code> <code><a href="price_data.html">quantity6</a></code> 
+
+          <code><a href="price_data.html">price_data</a></code> <code><a href="price_data.html">price6</a></code> <code><a href="price_data.html">quantity6</a></code>
+
         </dt>
         <dd>Sample price/quantity data</dd>
       </dl></div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
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-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
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+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
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diff --git a/reference/index_weights.html b/reference/index_weights.html
index 42229b8..f6e9cc7 100644
--- a/reference/index_weights.html
+++ b/reference/index_weights.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
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+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
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   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Index weights</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/price_indexes.R" class="external-link"><code>R/price_indexes.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/price_indexes.R" class="external-link"><code>R/price_indexes.R</code></a></small>
       <div class="d-none name"><code>index_weights.Rd</code></div>
     </div>
 
@@ -64,16 +49,16 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>type</dt>
+
+
+<dl><dt id="arg-type">type<a class="anchor" aria-label="anchor" href="#arg-type"></a></dt>
 <dd><p>The name of the index. See details for the possible types of
 indexes.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p>A function of current and base period prices/quantities that calculates
+    <p>A function of current and base period prices/quantities that calculates
 the relevant weights.</p>
     </div>
     <div class="section level2">
@@ -113,7 +98,7 @@ <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"
     <div class="dont-index"><p><code><a href="factor_weights.html">update_weights()</a></code> for price-updating weights.</p>
 <p><code><a href="quantity_index.html">quantity_index()</a></code> to remap the arguments in these functions for a
 quantity index.</p>
-<p>Other price index functions: 
+<p>Other price index functions:
 <code><a href="geks.html">geks</a>()</code>,
 <code><a href="price_indexes.html">price_indexes</a></code>,
 <code><a href="splice_index.html">splice_index</a>()</code></p></div>
@@ -255,23 +240,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
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   </body></html>
 
diff --git a/reference/jevons_index.html b/reference/jevons_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/jevons_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/laspeyres_index.html b/reference/laspeyres_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/laspeyres_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/lehmer_mean.html b/reference/lehmer_mean.html
index 0c8c0b1..57b2e59 100644
--- a/reference/lehmer_mean.html
+++ b/reference/lehmer_mean.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Calculate a weighted Lehmer mean."><title>Lehmer mean — lehmer_mean • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Lehmer mean — lehmer_mean"><meta property="og:description" content="Calculate a weighted Lehmer mean."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
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-<![endif]--></head><body>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Lehmer mean — lehmer_mean • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Lehmer mean — lehmer_mean"><meta name="description" content="Calculate a weighted Lehmer mean."><meta property="og:description" content="Calculate a weighted Lehmer mean."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
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+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
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   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Lehmer mean</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/means.R" class="external-link"><code>R/means.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/means.R" class="external-link"><code>R/means.R</code></a></small>
       <div class="d-none name"><code>lehmer_mean.Rd</code></div>
     </div>
 
@@ -61,39 +46,33 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>r</dt>
+
+
+<dl><dt id="arg-r">r<a class="anchor" aria-label="anchor" href="#arg-r"></a></dt>
 <dd><p>A finite number giving the order of the Lehmer mean.</p></dd>
 
 
-<dt>x</dt>
+<dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
 <dd><p>A strictly positive numeric vector.</p></dd>
 
 
-<dt>w</dt>
+<dt id="arg-w">w<a class="anchor" aria-label="anchor" href="#arg-w"></a></dt>
 <dd><p>A strictly positive numeric vector of weights, the same length as
 <code>x</code>. The default is to equally weight each element of <code>x</code>.</p></dd>
 
 
-<dt>na.rm</dt>
+<dt id="arg-na-rm">na.rm<a class="anchor" aria-label="anchor" href="#arg-na-rm"></a></dt>
 <dd><p>Should missing values in <code>x</code> and <code>w</code> be removed? By
 default missing values in <code>x</code> or <code>w</code> return a missing value.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p><code>lehmer_mean()</code> returns a function:</p>
-
-
+    <p><code>lehmer_mean()</code> returns a function:</p>
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">x</span>, <span class="va">w</span> <span class="op">=</span> <span class="cn">NULL</span>, <span class="va">na.rm</span> <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
-
 <p>This computes the Lehmer mean of order <code>r</code> of <code>x</code> with weights
 <code>w</code>.</p>
-
-
 <p><code>contraharmonic_mean()</code> returns a numeric value for the Lehmer mean of
 order 2.</p>
     </div>
@@ -138,7 +117,7 @@ <h2 id="references">References<a class="anchor" aria-label="anchor" href="#refer
     </div>
     <div class="section level2">
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
-    <div class="dont-index"><p>Other means: 
+    <div class="dont-index"><p>Other means:
 <code><a href="extended_mean.html">extended_mean</a>()</code>,
 <code><a href="generalized_mean.html">generalized_mean</a>()</code>,
 <code><a href="nested_mean.html">nested_mean</a>()</code></p></div>
@@ -236,23 +215,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/lehr_index.html b/reference/lehr_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/lehr_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/lm_index.html b/reference/lm_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/lm_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/logmean.html b/reference/logmean.html
new file mode 100644
index 0000000..8df1950
--- /dev/null
+++ b/reference/logmean.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/extended_mean.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/extended_mean.html">
+  </head>
+</html>
+
diff --git a/reference/lowe_index.html b/reference/lowe_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/lowe_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/nested_contributions.html b/reference/nested_contributions.html
new file mode 100644
index 0000000..e7f149d
--- /dev/null
+++ b/reference/nested_contributions.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/contributions.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/contributions.html">
+  </head>
+</html>
+
diff --git a/reference/nested_contributions2.html b/reference/nested_contributions2.html
new file mode 100644
index 0000000..e7f149d
--- /dev/null
+++ b/reference/nested_contributions2.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/contributions.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/contributions.html">
+  </head>
+</html>
+
diff --git a/reference/nested_mean.html b/reference/nested_mean.html
index ced32a2..f80ab86 100644
--- a/reference/nested_mean.html
+++ b/reference/nested_mean.html
@@ -1,52 +1,37 @@
 <!DOCTYPE html>
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+(i.e., crossing generalized means)."><meta property="og:description" content="Calculate the (outer) generalized mean of two (inner) generalized means
+(i.e., crossing generalized means)."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
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+
 
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 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Nested generalized mean</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/means.R" class="external-link"><code>R/means.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/means.R" class="external-link"><code>R/means.R</code></a></small>
       <div class="d-none name"><code>nested_mean.Rd</code></div>
     </div>
 
@@ -64,30 +49,32 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>r1</dt>
+
+
+<dl><dt id="arg-r-">r1<a class="anchor" aria-label="anchor" href="#arg-r-"></a></dt>
 <dd><p>A finite number giving the order of the outer generalized mean.</p></dd>
 
 
-<dt>r2</dt>
+<dt id="arg-r-">r2<a class="anchor" aria-label="anchor" href="#arg-r-"></a></dt>
 <dd><p>A pair of finite numbers giving the order of the inner generalized
 means.</p></dd>
 
 
-<dt>t</dt>
+<dt id="arg-t">t<a class="anchor" aria-label="anchor" href="#arg-t"></a></dt>
 <dd><p>A pair of strictly positive weights for the inner generalized
 means. The default is equal weights.</p></dd>
 
 
-<dt>x</dt>
+<dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
 <dd><p>A strictly positive numeric vector.</p></dd>
 
 
-<dt>w1, w2</dt>
+<dt id="arg-w-w-">w1, w2<a class="anchor" aria-label="anchor" href="#arg-w-w-"></a></dt>
 <dd><p>A strictly positive numeric vector of weights, the same length
 as <code>x</code>. The default is to equally weight each element of <code>x</code>.</p></dd>
 
 
-<dt>na.rm</dt>
+<dt id="arg-na-rm">na.rm<a class="anchor" aria-label="anchor" href="#arg-na-rm"></a></dt>
 <dd><p>Should missing values in <code>x</code>, <code>w1</code>, and <code>w2</code> be
 removed? By default missing values in <code>x</code>, <code>w1</code>, or <code>w2</code>
 return a missing value.</p></dd>
@@ -95,20 +82,12 @@ <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#argumen
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p><code>nested_mean()</code> returns a function:</p>
-
-
+    <p><code>nested_mean()</code> returns a function:</p>
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">x</span>, <span class="va">w1</span> <span class="op">=</span> <span class="cn">NULL</span>, <span class="va">w2</span> <span class="op">=</span> <span class="cn">NULL</span>, <span class="va">na.rm</span> <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
-
 <p>This computes the generalized mean of order <code>r1</code> of the generalized
 mean of order <code>r2[1]</code> of <code>x</code> with weights <code>w1</code> and the
 generalized mean of order <code>r2[2]</code> of <code>x</code> with weights <code>w2</code>.</p>
-
-
 <p><code>fisher_mean()</code> returns a numeric value for the geometric mean of the
 arithmetic and harmonic means (i.e., <code>r1 = 0</code> and <code>r2 = c(1, -1)</code>).</p>
     </div>
@@ -120,24 +99,24 @@ <h2 id="note">Note<a class="anchor" aria-label="anchor" href="#note"></a></h2>
 rather than removing all missing values prior to any calculations. This
 means that a different number of data points could be used to calculate the
 inner means. Use the <code><a href="balanced.html">balanced()</a></code> operator to balance
-missing values across <code>w1</code> and w2 prior to any calculations.</p>
+missing values across <code>w1</code> and <code>w2</code> prior to any calculations.</p>
     </div>
     <div class="section level2">
     <h2 id="references">References<a class="anchor" aria-label="anchor" href="#references"></a></h2>
     <p>Diewert, W. E. (1976). Exact and superlative index numbers.
-<em>Journal of Econometrics</em>, 4(2): 114--145.</p>
-<p>ILO, IMF, OECD, Eurostat, UN, and World Bank. (2004).
+<em>Journal of Econometrics</em>, 4(2): 114–145.</p>
+<p>ILO, IMF, OECD, UNECE, and World Bank. (2004).
 <em>Producer Price Index Manual: Theory and Practice</em>. International Monetary
 Fund.</p>
 <p>Lent, J. and Dorfman, A. H. (2009). Using a weighted average of base period
 price indexes to approximate a superlative index.
-<em>Journal of Official Statistics</em>, 25(1):139--149.</p>
+<em>Journal of Official Statistics</em>, 25(1):139–149.</p>
     </div>
     <div class="section level2">
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
     <div class="dont-index"><p><code><a href="contributions.html">nested_contributions()</a></code> for percent-change contributions for
 indexes based on nested generalized means, like the Fisher index.</p>
-<p>Other means: 
+<p>Other means:
 <code><a href="extended_mean.html">extended_mean</a>()</code>,
 <code><a href="generalized_mean.html">generalized_mean</a>()</code>,
 <code><a href="lehmer_mean.html">lehmer_mean</a>()</code></p></div>
@@ -220,23 +199,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
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new file mode 100644
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--- /dev/null
+++ b/reference/nested_transmute.html
@@ -0,0 +1,8 @@
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new file mode 100644
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@@ -0,0 +1,8 @@
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diff --git a/reference/outliers.html b/reference/outliers.html
index 2904679..870742f 100644
--- a/reference/outliers.html
+++ b/reference/outliers.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
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 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Outlier detection for price relatives</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/outliers.R" class="external-link"><code>R/outliers.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/outliers.R" class="external-link"><code>R/outliers.R</code></a></small>
       <div class="d-none name"><code>outliers.Rd</code></div>
     </div>
 
@@ -69,33 +54,33 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>x</dt>
+
+
+<dl><dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
 <dd><p>A strictly positive numeric vector of price relatives. These can be
 made with, e.g., <code><a href="back_period.html">back_period()</a></code>.</p></dd>
 
 
-<dt>cu, cl</dt>
+<dt id="arg-cu-cl">cu, cl<a class="anchor" aria-label="anchor" href="#arg-cu-cl"></a></dt>
 <dd><p>A numeric vector, or something that can be coerced into one,
 giving the upper and lower cutoffs for each element of <code>x</code>. Recycled to the
 same length as <code>x</code>.</p></dd>
 
 
-<dt>a</dt>
+<dt id="arg-a">a<a class="anchor" aria-label="anchor" href="#arg-a"></a></dt>
 <dd><p>A numeric vector, or something that can be coerced into one,
 between 0 and 1 giving the scale factor for the median to establish the
 minimum dispersion between quartiles for each element of <code>x</code>. The default
 does not set a minimum dispersion. Recycled to the same length as <code>x</code>.</p></dd>
 
 
-<dt>type</dt>
+<dt id="arg-type">type<a class="anchor" aria-label="anchor" href="#arg-type"></a></dt>
 <dd><p>See <code><a href="https://rdrr.io/r/stats/quantile.html" class="external-link">quantile()</a></code>.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p>A logical vector, the same length as <code>x</code>, that is <code>TRUE</code> if the
+    <p>A logical vector, the same length as <code>x</code>, that is <code>TRUE</code> if the
 corresponding element of <code>x</code> is identified as an outlier,
 <code>FALSE</code> otherwise.</p>
     </div>
@@ -135,8 +120,8 @@ <h2 id="details">Details<a class="anchor" aria-label="anchor" href="#details"></
     <h2 id="references">References<a class="anchor" aria-label="anchor" href="#references"></a></h2>
     <p>Hutton, H. (2008). Dynamic outlier detection in price index surveys.
 <em>Proceedings of the Survey Methods Section: Statistical Society of Canada Annual Meeting</em>.</p>
-<p>ILO, IMF, OECD, Eurostat, UN, and World Bank. (2020).
-<em>Consumer Price Index Manual: Theory and Practice</em>.
+<p>IMF, ILO, Eurostat, UNECE, OECD, and World Bank. (2020).
+<em>Consumer Price Index Manual: Concepts and Methods</em>.
 International Monetary Fund.</p>
 <p>Rais, S. (2008). Outlier detection for the Consumer Price Index.
 <em>Proceedings of the Survey Methods Section: Statistical Society of Canada Annual Meeting</em>.</p>
@@ -182,23 +167,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
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diff --git a/reference/paasche_index.html b/reference/paasche_index.html
new file mode 100644
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@@ -0,0 +1,8 @@
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diff --git a/reference/price6.html b/reference/price6.html
new file mode 100644
index 0000000..c744ae9
--- /dev/null
+++ b/reference/price6.html
@@ -0,0 +1,8 @@
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diff --git a/reference/price_data.html b/reference/price_data.html
index 4e05132..2ec0df1 100644
--- a/reference/price_data.html
+++ b/reference/price_data.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
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-<li class="nav-item">
-  <a class="nav-link" href="../news/index.html">Changelog</a>
-</li>
-      </ul><form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="../search.json" id="search-input" placeholder="Search for" autocomplete="off"></form>
-
-      <ul class="navbar-nav"><li class="nav-item">
-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="active nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Sample price/quantity data</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/price_data.R" class="external-link"><code>R/price_data.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/price_data.R" class="external-link"><code>R/price_data.R</code></a></small>
       <div class="d-none name"><code>price_data.Rd</code></div>
     </div>
 
@@ -62,8 +47,9 @@ <h2 id="format">Format<a class="anchor" aria-label="anchor" href="#format"></a><
     <h2 id="source">Source<a class="anchor" aria-label="anchor" href="#source"></a></h2>
     <p>Balk, B. M. (2008). <em>Price and Quantity Index Numbers</em>.
 Cambridge University Press.</p>
-<p>ILO, IMF, OECD, Eurostat, UN, and World Bank. (2004). <em>Producer Price
-Index Manual: Theory and Practice</em>. International Monetary Fund.</p>
+<p>ILO, IMF, OECD, UNECE, and World Bank. (2004).
+<em>Producer Price Index Manual: Theory and Practice</em>.
+International Monetary Fund.</p>
     </div>
     <div class="section level2">
     <h2 id="note">Note<a class="anchor" aria-label="anchor" href="#note"></a></h2>
@@ -109,23 +95,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
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   </body></html>
 
diff --git a/reference/price_indexes.html b/reference/price_indexes.html
index af3f074..1677026 100644
--- a/reference/price_indexes.html
+++ b/reference/price_indexes.html
@@ -1,52 +1,37 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Calculate a variety of price indexes using information on prices and
-quantities at two points in time."><title>Price indexes — price_indexes • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Price indexes — price_indexes"><meta property="og:description" content="Calculate a variety of price indexes using information on prices and
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-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Price indexes — price_indexes • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Price indexes — price_indexes"><meta name="description" content="Calculate a variety of price indexes using information on prices and
+quantities at two points in time."><meta property="og:description" content="Calculate a variety of price indexes using information on prices and
+quantities at two points in time."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
     <a href="#main" class="visually-hidden-focusable">Skip to contents</a>
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+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
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     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
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+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="active nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Price indexes</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/price_indexes.R" class="external-link"><code>R/price_indexes.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/price_indexes.R" class="external-link"><code>R/price_indexes.R</code></a></small>
       <div class="d-none name"><code>price_indexes.Rd</code></div>
     </div>
 
@@ -96,54 +81,54 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>type</dt>
+
+
+<dl><dt id="arg-type">type<a class="anchor" aria-label="anchor" href="#arg-type"></a></dt>
 <dd><p>The name of the index. See details for the possible types of
 indexes.</p></dd>
 
 
-<dt>p1</dt>
+<dt id="arg-p-">p1<a class="anchor" aria-label="anchor" href="#arg-p-"></a></dt>
 <dd><p>Current-period prices.</p></dd>
 
 
-<dt>p0</dt>
+<dt id="arg-p-">p0<a class="anchor" aria-label="anchor" href="#arg-p-"></a></dt>
 <dd><p>Base-period prices.</p></dd>
 
 
-<dt>q0</dt>
+<dt id="arg-q-">q0<a class="anchor" aria-label="anchor" href="#arg-q-"></a></dt>
 <dd><p>Base-period quantities.</p></dd>
 
 
-<dt>na.rm</dt>
+<dt id="arg-na-rm">na.rm<a class="anchor" aria-label="anchor" href="#arg-na-rm"></a></dt>
 <dd><p>Should missing values be removed? By default missing values for
 prices or quantities return a missing value.</p></dd>
 
 
-<dt>q1</dt>
+<dt id="arg-q-">q1<a class="anchor" aria-label="anchor" href="#arg-q-"></a></dt>
 <dd><p>Current-period quantities.</p></dd>
 
 
-<dt>qb</dt>
+<dt id="arg-qb">qb<a class="anchor" aria-label="anchor" href="#arg-qb"></a></dt>
 <dd><p>Period-b quantities for the Lowe/Young index.</p></dd>
 
 
-<dt>pb</dt>
+<dt id="arg-pb">pb<a class="anchor" aria-label="anchor" href="#arg-pb"></a></dt>
 <dd><p>Period-b prices for the Lowe/Young index.</p></dd>
 
 
-<dt>elasticity</dt>
+<dt id="arg-elasticity">elasticity<a class="anchor" aria-label="anchor" href="#arg-elasticity"></a></dt>
 <dd><p>The elasticity of substitution for the Lloyd-Moulton and
 AG mean indexes.</p></dd>
 
 
-<dt>a, b</dt>
+<dt id="arg-a-b">a, b<a class="anchor" aria-label="anchor" href="#arg-a-b"></a></dt>
 <dd><p>Parameters for the generalized Stuvel index.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p><code>arithmetic_index()</code>, <code>geometric_index()</code>, <code>harmonic_index()</code>, and
+    <p><code>arithmetic_index()</code>, <code>geometric_index()</code>, <code>harmonic_index()</code>, and
 <code>stuvel_index()</code> each return a function to compute the relevant price
 indexes; <code>lm_index()</code>, <code>arithmetic_agmean_index()</code>, and
 <code>geometric_agmean_index()</code> each return a function to calculate the
@@ -162,7 +147,7 @@ <h2 id="details">Details<a class="anchor" aria-label="anchor" href="#details"></
 <li><p>Laspeyres</p></li>
 <li><p>Palgrave</p></li>
 <li><p>Unnamed index (arithmetic mean of Laspeyres and Palgrave)</p></li>
-<li><p>Drobisch (arithmetic mean of Laspeyres and Paasche)</p></li>
+<li><p>Drobisch (or Sidgwick, arithmetic mean of Laspeyres and Paasche)</p></li>
 <li><p>Walsh-I (arithmetic Walsh)</p></li>
 <li><p>Marshall-Edgeworth</p></li>
 <li><p>Geary-Khamis</p></li>
@@ -170,7 +155,7 @@ <h2 id="details">Details<a class="anchor" aria-label="anchor" href="#details"></
 <li><p>Young</p></li>
 <li><p><strong>Geometric indexes</strong></p></li>
 <li><p>Jevons</p></li>
-<li><p>Geometric Laspeyres</p></li>
+<li><p>Geometric Laspeyres (or Jöhr)</p></li>
 <li><p>Geometric Paasche</p></li>
 <li><p>Geometric Young</p></li>
 <li><p>Törnqvist (or Törnqvist-Theil)</p></li>
@@ -226,12 +211,10 @@ <h2 id="references">References<a class="anchor" aria-label="anchor" href="#refer
 Cambridge University Press.</p>
 <p>Fisher, I. (1922). <em>The Making of Index Numbers</em>. Houghton Mifflin
 Company.</p>
-<p>ILO, IMF, OECD, Eurostat, UN, and World Bank. (2020).
-<em>Consumer Price Index Manual: Theory and Practice</em>.
+<p>IMF, ILO, Eurostat, UNECE, OECD, and World Bank. (2020).
+<em>Consumer Price Index Manual: Concepts and Methods</em>.
 International Monetary Fund.</p>
-<p>von der Lippe, P. (2001).
-<em>Chain Indices: A Study in Price Index Theory</em>, Spectrum of Federal
-Statistics vol. 16. Federal Statistical Office, Wiesbaden.</p>
+<p>von der Lippe, P. (2007). <em>Index Theory and Price Statistics</em>. Peter Lang.</p>
 <p>von der Lippe, P. (2015). Generalized Statistical Means and New Price Index
 Formulas, Notes on some unexplored index formulas, their interpretations and
 generalizations. Munich Personal RePEc Archive paper no. 64952.</p>
@@ -249,7 +232,7 @@ <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"
 than two time periods.</p>
 <p>The <span class="pkg">piar</span> package has more functionality working with price indexes for
 multiple groups of products over many time periods.</p>
-<p>Other price index functions: 
+<p>Other price index functions:
 <code><a href="geks.html">geks</a>()</code>,
 <code><a href="index_weights.html">index_weights</a>()</code>,
 <code><a href="splice_index.html">splice_index</a>()</code></p></div>
@@ -297,12 +280,12 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-out co"><span class="r-pr">#&gt;</span> [1] TRUE</span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># This strategy can be used to make more exotic indexes, like the</span></span></span>
-<span class="r-in"><span><span class="co"># quadratic-mean index (von der Lippe, 2001, p. 71)</span></span></span>
+<span class="r-in"><span><span class="co"># quadratic-mean index (von der Lippe, 2007, p. 61)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="generalized_mean.html">generalized_mean</a></span><span class="op">(</span><span class="fl">2</span><span class="op">)</span><span class="op">(</span><span class="va">p1</span> <span class="op">/</span> <span class="va">p0</span>, <span class="fu"><a href="index_weights.html">index_weights</a></span><span class="op">(</span><span class="st">"Laspeyres"</span><span class="op">)</span><span class="op">(</span><span class="va">p0</span>, <span class="va">q0</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> [1] 1.020762</span>
 <span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># Or the exponential mean index (p. 64)</span></span></span>
+<span class="r-in"><span><span class="co"># Or the exponential mean index (p. 62)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Log.html" class="external-link">log</a></span><span class="op">(</span><span class="fu"><a href="generalized_mean.html">arithmetic_mean</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/Log.html" class="external-link">exp</a></span><span class="op">(</span><span class="va">p1</span> <span class="op">/</span> <span class="va">p0</span><span class="op">)</span>, <span class="fu"><a href="index_weights.html">index_weights</a></span><span class="op">(</span><span class="st">"Laspeyres"</span><span class="op">)</span><span class="op">(</span><span class="va">p0</span>, <span class="va">q0</span><span class="op">)</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> [1] 1.013369</span>
@@ -452,23 +435,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/quantity6.html b/reference/quantity6.html
new file mode 100644
index 0000000..c744ae9
--- /dev/null
+++ b/reference/quantity6.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_data.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_data.html">
+  </head>
+</html>
+
diff --git a/reference/quantity_index.html b/reference/quantity_index.html
index f82afe5..d472c6c 100644
--- a/reference/quantity_index.html
+++ b/reference/quantity_index.html
@@ -1,52 +1,37 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Remaps price arguments into quantity argument (and vice versa) to turn a
-price index into a quantity index."><title>Quantity index operator — quantity_index • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Quantity index operator — quantity_index"><meta property="og:description" content="Remaps price arguments into quantity argument (and vice versa) to turn a
-price index into a quantity index."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Quantity index operator — quantity_index • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Quantity index operator — quantity_index"><meta name="description" content="Remaps price arguments into quantity argument (and vice versa) to turn a
+price index into a quantity index."><meta property="og:description" content="Remaps price arguments into quantity argument (and vice versa) to turn a
+price index into a quantity index."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
     <a href="#main" class="visually-hidden-focusable">Skip to contents</a>
-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
-    
+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
       <span class="navbar-toggler-icon"></span>
     </button>
 
     <div id="navbar" class="collapse navbar-collapse ms-3">
-      <ul class="navbar-nav me-auto"><li class="nav-item">
-  <a class="nav-link" href="../articles/gpindex.html">Get started</a>
-</li>
-<li class="active nav-item">
-  <a class="nav-link" href="../reference/index.html">Reference</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="../news/index.html">Changelog</a>
-</li>
-      </ul><form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="../search.json" id="search-input" placeholder="Search for" autocomplete="off"></form>
-
-      <ul class="navbar-nav"><li class="nav-item">
-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="active nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Quantity index operator</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/operators.R" class="external-link"><code>R/operators.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/operators.R" class="external-link"><code>R/operators.R</code></a></small>
       <div class="d-none name"><code>quantity_index.Rd</code></div>
     </div>
 
@@ -62,19 +47,19 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>f</dt>
+
+
+<dl><dt id="arg-f">f<a class="anchor" aria-label="anchor" href="#arg-f"></a></dt>
 <dd><p>A <a href="price_indexes.html">price-index function</a>.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p>A function like <code>f</code>, except that the role of prices/quantities is reversed.</p>
+    <p>A function like <code>f</code>, except that the role of prices/quantities is reversed.</p>
     </div>
     <div class="section level2">
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
-    <div class="dont-index"><p>Other operators: 
+    <div class="dont-index"><p>Other operators:
 <code><a href="balanced.html">balanced</a>()</code>,
 <code><a href="grouped.html">grouped</a>()</code></p></div>
     </div>
@@ -101,23 +86,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/quartile_method.html b/reference/quartile_method.html
new file mode 100644
index 0000000..37b2b61
--- /dev/null
+++ b/reference/quartile_method.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/outliers.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/outliers.html">
+  </head>
+</html>
+
diff --git a/reference/resistant_fences.html b/reference/resistant_fences.html
new file mode 100644
index 0000000..37b2b61
--- /dev/null
+++ b/reference/resistant_fences.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/outliers.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/outliers.html">
+  </head>
+</html>
+
diff --git a/reference/robust_z.html b/reference/robust_z.html
new file mode 100644
index 0000000..37b2b61
--- /dev/null
+++ b/reference/robust_z.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/outliers.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/outliers.html">
+  </head>
+</html>
+
diff --git a/reference/scale_weights.html b/reference/scale_weights.html
index 88c13b2..a8c6005 100644
--- a/reference/scale_weights.html
+++ b/reference/scale_weights.html
@@ -1,50 +1,35 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Scale a vector of weights so that they sum to 1."><title>Scale weights — scale_weights • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Scale weights — scale_weights"><meta property="og:description" content="Scale a vector of weights so that they sum to 1."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Scale weights — scale_weights • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Scale weights — scale_weights"><meta name="description" content="Scale a vector of weights so that they sum to 1."><meta property="og:description" content="Scale a vector of weights so that they sum to 1."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
     <a href="#main" class="visually-hidden-focusable">Skip to contents</a>
-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
-    
+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
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     </button>
 
     <div id="navbar" class="collapse navbar-collapse ms-3">
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-  <a class="nav-link" href="../articles/gpindex.html">Get started</a>
-</li>
-<li class="active nav-item">
-  <a class="nav-link" href="../reference/index.html">Reference</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="../news/index.html">Changelog</a>
-</li>
-      </ul><form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="../search.json" id="search-input" placeholder="Search for" autocomplete="off"></form>
-
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-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
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-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="active nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
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 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Scale weights</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/weights.R" class="external-link"><code>R/weights.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/weights.R" class="external-link"><code>R/weights.R</code></a></small>
       <div class="d-none name"><code>scale_weights.Rd</code></div>
     </div>
 
@@ -59,21 +44,21 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>x</dt>
+
+
+<dl><dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
 <dd><p>A strictly positive numeric vector.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p>A numeric vector that sums to 1. If there are <code>NA</code>s in <code>x</code> then the result
+    <p>A numeric vector that sums to 1. If there are <code>NA</code>s in <code>x</code> then the result
 sums 1 to if these values are removed.</p>
     </div>
     <div class="section level2">
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
     <div class="dont-index"><p><code><a href="grouped.html">grouped()</a></code> to make this function applicable to grouped data.</p>
-<p>Other weights functions: 
+<p>Other weights functions:
 <code><a href="factor_weights.html">factor_weights</a>()</code>,
 <code><a href="transmute_weights.html">transmute_weights</a>()</code></p></div>
     </div>
@@ -85,23 +70,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/splice_index.html b/reference/splice_index.html
index 0e1e928..5ceeeb8 100644
--- a/reference/splice_index.html
+++ b/reference/splice_index.html
@@ -1,54 +1,39 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Splice a collection of index series computed over a rolling window into one
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Splice an index series — splice_index • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Splice an index series — splice_index"><meta name="description" content="Splice a collection of index series computed over a rolling window into one
 index series. Splicing on multiple points combines the results with a
-geometric mean."><title>Splice an index series — splice_index • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Splice an index series — splice_index"><meta property="og:description" content="Splice a collection of index series computed over a rolling window into one
+geometric mean."><meta property="og:description" content="Splice a collection of index series computed over a rolling window into one
 index series. Splicing on multiple points combines the results with a
-geometric mean."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body>
+geometric mean."><meta property="og:image" content="https://marberts.github.io/gpindex/logo.png"></head><body>
     <a href="#main" class="visually-hidden-focusable">Skip to contents</a>
-    
 
-    <nav class="navbar fixed-top navbar-dark navbar-expand-lg bg-primary" data-bs-theme="dark"><div class="container">
-    
+
+    <nav class="navbar navbar-expand-lg fixed-top bg-primary" data-bs-theme="dark" aria-label="Site navigation"><div class="container">
+
     <a class="navbar-brand me-2" href="../index.html">gpindex</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">0.6.1.9001</small>
+
 
-    
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
       <span class="navbar-toggler-icon"></span>
     </button>
 
     <div id="navbar" class="collapse navbar-collapse ms-3">
-      <ul class="navbar-nav me-auto"><li class="nav-item">
-  <a class="nav-link" href="../articles/gpindex.html">Get started</a>
-</li>
-<li class="active nav-item">
-  <a class="nav-link" href="../reference/index.html">Reference</a>
-</li>
-<li class="nav-item">
-  <a class="nav-link" href="../news/index.html">Changelog</a>
-</li>
-      </ul><form class="form-inline my-2 my-lg-0" role="search">
-        <input type="search" class="form-control me-sm-2" aria-label="Toggle navigation" name="search-input" data-search-index="../search.json" id="search-input" placeholder="Search for" autocomplete="off"></form>
-
-      <ul class="navbar-nav"><li class="nav-item">
-  <a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="github">
-    <span class="fab fa fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
+      <ul class="navbar-nav me-auto"><li class="nav-item"><a class="nav-link" href="../articles/gpindex.html">Get started</a></li>
+<li class="active nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li>
+<li class="nav-item"><a class="nav-link" href="../news/index.html">Changelog</a></li>
+      </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search">
+ <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li>
+<li class="nav-item"><a class="external-link nav-link" href="https://github.com/marberts/gpindex/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li>
       </ul></div>
 
-    
+
   </div>
 </nav><div class="container template-reference-topic">
 <div class="row">
   <main id="main" class="col-md-9"><div class="page-header">
       <img src="../logo.png" class="logo" alt=""><h1>Splice an index series</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/splice.R" class="external-link"><code>R/splice.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/splice.R" class="external-link"><code>R/splice.R</code></a></small>
       <div class="d-none name"><code>splice_index.Rd</code></div>
     </div>
 
@@ -65,32 +50,32 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>x</dt>
+
+
+<dl><dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
 <dd><p>A list of equal-length numeric vectors giving the period-over-period
 indexes for each window.</p></dd>
 
 
-<dt>periods</dt>
+<dt id="arg-periods">periods<a class="anchor" aria-label="anchor" href="#arg-periods"></a></dt>
 <dd><p>An integer vector giving the splice points for each window.
 The default splices on each point in the window.</p></dd>
 
 
-<dt>initial</dt>
+<dt id="arg-initial">initial<a class="anchor" aria-label="anchor" href="#arg-initial"></a></dt>
 <dd><p>A numeric vector giving an initial period-over-period index
 series onto which the elements of <code>x</code> are spliced. The default uses the
 first element of <code>x</code>.</p></dd>
 
 
-<dt>published</dt>
+<dt id="arg-published">published<a class="anchor" aria-label="anchor" href="#arg-published"></a></dt>
 <dd><p>Should the splice be done against the published series? The
 default splices using the recalculated index series.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p>A numeric vector giving the spliced (fixed-base) index series.</p>
+    <p>A numeric vector giving the spliced (fixed-base) index series.</p>
     </div>
     <div class="section level2">
     <h2 id="references">References<a class="anchor" aria-label="anchor" href="#references"></a></h2>
@@ -103,7 +88,7 @@ <h2 id="references">References<a class="anchor" aria-label="anchor" href="#refer
     </div>
     <div class="section level2">
     <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
-    <div class="dont-index"><p>Other price index functions: 
+    <div class="dont-index"><p>Other price index functions:
 <code><a href="geks.html">geks</a>()</code>,
 <code><a href="index_weights.html">index_weights</a>()</code>,
 <code><a href="price_indexes.html">price_indexes</a></code></p></div>
@@ -137,23 +122,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
     </footer></div>
 
-  
 
-  
+
+
 
   </body></html>
 
diff --git a/reference/stuvel_index.html b/reference/stuvel_index.html
new file mode 100644
index 0000000..bc3dd00
--- /dev/null
+++ b/reference/stuvel_index.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/price_indexes.html">
+  </head>
+</html>
+
diff --git a/reference/tornqvist_geks.html b/reference/tornqvist_geks.html
new file mode 100644
index 0000000..31af25d
--- /dev/null
+++ b/reference/tornqvist_geks.html
@@ -0,0 +1,8 @@
+<html>
+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/geks.html" />
+    <meta name="robots" content="noindex">
+    <link rel="canonical" href="https://marberts.github.io/gpindex/reference/geks.html">
+  </head>
+</html>
+
diff --git a/reference/transmute_weights.html b/reference/transmute_weights.html
index aa6f7ee..6dfebc2 100644
--- a/reference/transmute_weights.html
+++ b/reference/transmute_weights.html
@@ -1,56 +1,41 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><meta name="description" content="Transmute weights to turn a generalized mean of order \(r\) into a
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Transmute weights — transmute_weights • gpindex</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.4.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.4.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Transmute weights — transmute_weights"><meta name="description" content="Transmute weights to turn a generalized mean of order \(r\) into a
 generalized mean of order \(s\). Useful for calculating additive and
 multiplicative decompositions for a generalized-mean index, and those made
-of nested generalized means (e.g., Fisher index)."><title>Transmute weights — transmute_weights • gpindex</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- bootstrap-toc --><script src="https://cdn.jsdelivr.net/gh/afeld/bootstrap-toc@v1.0.1/dist/bootstrap-toc.min.js" integrity="sha256-4veVQbu7//Lk5TSmc7YV48MxtMy98e26cf5MrgZYnwo=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- search --><script src="https://cdnjs.cloudflare.com/ajax/libs/fuse.js/6.4.6/fuse.js" integrity="sha512-zv6Ywkjyktsohkbp9bb45V6tEMoWhzFzXis+LrMehmJZZSys19Yxf1dopHx7WzIKxr5tK2dVcYmaCk2uqdjF4A==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/autocomplete.js/0.38.0/autocomplete.jquery.min.js" integrity="sha512-GU9ayf+66Xx2TmpxqJpliWbT5PiGYxpaG8rfnBEk1LL8l1KGkRShhngwdXK1UgqhAzWpZHSiYPc09/NwDQIGyg==" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mark.js/8.11.1/mark.min.js" integrity="sha512-5CYOlHXGh6QpOFA/TeTylKLWfB3ftPsde7AnmhuitiTX4K5SqCLBeKro6sPS8ilsz1Q4NRx3v8Ko2IBiszzdww==" crossorigin="anonymous"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Transmute weights — transmute_weights"><meta property="og:description" content="Transmute weights to turn a generalized mean of order \(r\) into a
+of nested generalized means (e.g., Fisher index)."><meta property="og:description" content="Transmute weights to turn a generalized mean of order \(r\) into a
 generalized mean of order \(s\). Useful for calculating additive and
 multiplicative decompositions for a generalized-mean index, and those made
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       <img src="../logo.png" class="logo" alt=""><h1>Transmute weights</h1>
-      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/HEAD/R/weights.R" class="external-link"><code>R/weights.R</code></a></small>
+      <small class="dont-index">Source: <a href="https://github.com/marberts/gpindex/blob/main/R/weights.R" class="external-link"><code>R/weights.R</code></a></small>
       <div class="d-none name"><code>transmute_weights.Rd</code></div>
     </div>
 
@@ -72,43 +57,36 @@ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage">
 
     <div class="section level2">
     <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
-    <dl><dt>r, s</dt>
+
+
+<dl><dt id="arg-r-s">r, s<a class="anchor" aria-label="anchor" href="#arg-r-s"></a></dt>
 <dd><p>A finite number giving the order of the generalized mean. See
 details.</p></dd>
 
 
-<dt>r1</dt>
+<dt id="arg-r-">r1<a class="anchor" aria-label="anchor" href="#arg-r-"></a></dt>
 <dd><p>A finite number giving the order of the outer generalized mean.</p></dd>
 
 
-<dt>r2</dt>
+<dt id="arg-r-">r2<a class="anchor" aria-label="anchor" href="#arg-r-"></a></dt>
 <dd><p>A pair of finite numbers giving the order of the inner generalized
 means.</p></dd>
 
 
-<dt>t</dt>
+<dt id="arg-t">t<a class="anchor" aria-label="anchor" href="#arg-t"></a></dt>
 <dd><p>A pair of strictly positive weights for the inner generalized
 means. The default is equal weights.</p></dd>
 
 </dl></div>
     <div class="section level2">
     <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
-    
-
-<p><code>transmute_weights()</code> returns a function:</p>
-
-
+    <p><code>transmute_weights()</code> returns a function:</p>
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">x</span>, <span class="va">w</span> <span class="op">=</span> <span class="cn">NULL</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
-
 <p><code>nested_transmute()</code> and <code>nested_transmute2()</code> similarly return a
 function:</p>
-
-
 <div class="sourceCode"><pre><code><span><span class="kw">function</span><span class="op">(</span><span class="va">x</span>, <span class="va">w1</span> <span class="op">=</span> <span class="cn">NULL</span>, <span class="va">w2</span> <span class="op">=</span> <span class="cn">NULL</span><span class="op">)</span><span class="op">{</span><span class="va">...</span><span class="op">}</span></span></code></pre></div>
 
-
     </div>
     <div class="section level2">
     <h2 id="details">Details<a class="anchor" aria-label="anchor" href="#details"></a></h2>
@@ -144,7 +122,7 @@ <h2 id="references">References<a class="anchor" aria-label="anchor" href="#refer
 Statistics Canada, Ottawa.</p>
 <p>Reinsdorf, M. B., Diewert, W. E., and Ehemann, C. (2002). Additive
 decompositions for Fisher, Törnqvist and geometric mean indexes.
-<em>Journal of Economic and Social Measurement</em>, 28(1-2):51--61.</p>
+<em>Journal of Economic and Social Measurement</em>, 28(1-2):51–61.</p>
 <p>Sydsaeter, K., Strom, A., and Berck, P. (2005). <em>Economists'
 Mathematical Manual</em> (4th edition). Springer.</p>
     </div>
@@ -157,7 +135,7 @@ <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"
 <p><code><a href="contributions.html">contributions()</a></code> for calculating additive percent-change
 contributions.</p>
 <p><code><a href="grouped.html">grouped()</a></code> to make these functions operate on grouped data.</p>
-<p>Other weights functions: 
+<p>Other weights functions:
 <code><a href="factor_weights.html">factor_weights</a>()</code>,
 <code><a href="scale_weights.html">scale_weights</a>()</code></p></div>
     </div>
@@ -262,23 +240,23 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
-  </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
+  </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
     </nav></aside></div>
 
 
     <footer><div class="pkgdown-footer-left">
-  <p></p><p>Developed by Steve Martin.</p>
+  <p>Developed by Steve Martin.</p>
 </div>
 
 <div class="pkgdown-footer-right">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.8.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.0.</p>
 </div>
 
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@@ -0,0 +1,8 @@
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diff --git a/reference/update_weights.html b/reference/update_weights.html
new file mode 100644
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+++ b/reference/update_weights.html
@@ -0,0 +1,8 @@
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+  <head>
+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/factor_weights.html" />
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new file mode 100644
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@@ -0,0 +1,8 @@
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+
diff --git a/reference/young_index.html b/reference/young_index.html
new file mode 100644
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+++ b/reference/young_index.html
@@ -0,0 +1,8 @@
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+    <meta http-equiv="refresh" content="0;URL=https://marberts.github.io/gpindex/reference/price_indexes.html" />
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diff --git a/search.json b/search.json
index 0343582..c42b855 100644
--- a/search.json
+++ b/search.json
@@ -1 +1 @@
-[{"path":"https://marberts.github.io/gpindex/LICENSE.html","id":"mit-license","dir":"","previous_headings":"","what":"MIT License","title":"NA","text":"Copyright (c) 2020 Steve Martin Permission hereby granted, free charge, person obtaining copy software associated documentation files (“Software”), deal Software without restriction, including without limitation rights use, copy, modify, merge, publish, distribute, sublicense, /sell copies Software, permit persons Software furnished , subject following conditions: copyright notice permission notice shall included copies substantial portions Software. SOFTWARE PROVIDED “”, WITHOUT WARRANTY KIND, EXPRESS IMPLIED, INCLUDING LIMITED WARRANTIES MERCHANTABILITY, FITNESS PARTICULAR PURPOSE NONINFRINGEMENT. EVENT SHALL AUTHORS COPYRIGHT HOLDERS LIABLE CLAIM, DAMAGES LIABILITY, WHETHER ACTION CONTRACT, TORT OTHERWISE, ARISING , CONNECTION SOFTWARE USE DEALINGS SOFTWARE.","code":""},{"path":"https://marberts.github.io/gpindex/articles/gpindex.html","id":"making-generalized-mean-indexes","dir":"Articles","previous_headings":"","what":"Making generalized-mean indexes","title":"Generalized Price and Quantity Indexes","text":"generalized-mean price index weighted generalized mean price relatives. Given set price relatives weights, generalized-mean price index easily calculated generalized_mean() function. distinguishes different generalized-mean price indexes weights order generalized mean. example, standard Laspeyres index uses base-period value-share weights generalized mean order 1 (arithmetic mean). Changing order generalized mean \\(1 - \\sigma\\), \\(\\sigma\\) elasticity substitution, gives Lloyd-Moulton index, whereas changing weights current-period value-shares gives Palgrave index. essence atomistic approach chapter 2 Selvanathan Rao (1994). Generalized-mean indexes can also nested together get indexes like Fisher, Drobisch, AG mean index. nested_mean() function simple wrapper generalized_mean() cases. top basic mathematical tools functions making standard price indexes prices quantities known. Weights large variety indexes can calculated index_weights(), can plugged relevant generalized mean calculate common price indexes, many uncommon ones. price_index functions provide simple wrapper, quantity_index() function turning analogous quantity index.","code":"library(gpindex)  # Start with some data on prices and quantities for 6 products # over 5 periods price6 #>   t1  t2  t3  t4  t5 #> 1  1 1.2 1.0 0.8 1.0 #> 2  1 3.0 1.0 0.5 1.0 #> 3  1 1.3 1.5 1.6 1.6 #> 4  1 0.7 0.5 0.3 0.1 #> 5  1 1.4 1.7 1.9 2.0 #> 6  1 0.8 0.6 0.4 0.2 quantity6 #>    t1  t2  t3  t4   t5 #> 1 1.0 0.8 1.0 1.2  0.9 #> 2 1.0 0.9 1.1 1.2  1.2 #> 3 2.0 1.9 1.8 1.9  2.0 #> 4 1.0 1.3 3.0 6.0 12.0 #> 5 4.5 4.7 5.0 5.6  6.5 #> 6 0.5 0.6 0.8 1.3  2.5  # We'll only need prices and quantities for a few periods p0 <- price6[[1]] p1 <- price6[[2]] p2 <- price6[[3]] q0 <- price6[[1]] q1 <- price6[[2]]  s0 <- p0 * q0 s1 <- p1 * q1  # Laspeyres index arithmetic_mean(p1 / p0, s0) #> [1] 1.4 # Lloyd-Moulton index (elasticity of substitution -1) quadratic_mean <- generalized_mean(2) quadratic_mean(p1 / p0, s0) #> [1] 1.592692  # Palgrave index arithmetic_mean(p1 / p0, s1) #> [1] 2.268331 # Fisher index fisher_mean(p1 / p0, s0, s1) #> [1] 1.592692  # Drobisch index drobisch_mean <- nested_mean(1, c(1, 1)) drobisch_mean(p1 / p0, s0, s1) #> [1] 1.834166  # Geometric AG mean index (elasticity of substitution 0.25) ag_mean <- nested_mean(0, c(0, 1), c(0.25, 0.75)) ag_mean(p1 / p0, s0, s0) #> [1] 1.358687 # Laspeyres index, again arithmetic_mean(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 1.4  laspeyres_index(p1, p0, q0) #> [1] 1.4"},{"path":"https://marberts.github.io/gpindex/articles/gpindex.html","id":"decomposing-indexes","dir":"Articles","previous_headings":"","what":"Decomposing indexes","title":"Generalized Price and Quantity Indexes","text":"Two important functions decomposing generalized means given transmute_weights() factor_weights(). functions augment weights generalized mean, can used calculate percent-change contributions (, e.g., contributions()) price-update weights generalized-mean indexes. Percent-change contributions can similarly calculated indexes nest generalized means.","code":"quadratic_decomposition <- transmute_weights(2, 1)  arithmetic_mean(p1 / p0, quadratic_decomposition(p1 / p0, s0)) #> [1] 1.592692 quadratic_mean(p1 / p0, s0) #> [1] 1.592692  quadratic_contributions <- contributions(2) quadratic_contributions(p1 / p0, s0) #> [1]  0.03110568  0.51154526  0.04832926 -0.03830484  0.06666667 -0.02665039  quadratic_update <- factor_weights(2)  quadratic_mean(p2 / p0, s0) #> [1] 1.136515 quadratic_mean(p2 / p1, quadratic_update(p1 / p0, s0)) *   quadratic_mean(p1 / p0, s0) #> [1] 1.136515 ag_decomposition <- nested_transmute(0, c(0, 1), 1, c(0.25, 0.75))  ag_mean(p1 / p0, s0, s0) #> [1] 1.358687 arithmetic_mean(p1/ p0, ag_decomposition(p1 / p0, s0, s0)) #> [1] 1.358687  ag_contributions <- nested_contributions(0, c(0, 1), c(0.25, 0.75)) ag_contributions(p1 / p0, s0, s0) #> [1]  0.03333243  0.29947183  0.04948725 -0.05377928  0.06536724 -0.03519241"},{"path":"https://marberts.github.io/gpindex/articles/gpindex.html","id":"references","dir":"Articles","previous_headings":"","what":"References","title":"Generalized Price and Quantity Indexes","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Selvanathan, E. . Rao, D. S. P. (1994). Index Numbers: Stochastic Approach. MacMillan.","code":""},{"path":"https://marberts.github.io/gpindex/authors.html","id":null,"dir":"","previous_headings":"","what":"Authors","title":"Authors and Citation","text":"Steve Martin. Author, maintainer, copyright holder.","code":""},{"path":"https://marberts.github.io/gpindex/authors.html","id":"citation","dir":"","previous_headings":"","what":"Citation","title":"Authors and Citation","text":"Martin S (2024). gpindex: Generalized Price Quantity Indexes. doi:10.5281/zenodo.10097742, R package version 0.6.1, https://cran.r-project.org/package=gpindex.","code":"@Manual{,   title = {{gpindex}: Generalized Price and Quantity Indexes},   author = {Steve Martin},   year = {2024},   doi = {10.5281/zenodo.10097742},   url = {https://cran.r-project.org/package=gpindex},   note = {R package version 0.6.1}, }"},{"path":"https://marberts.github.io/gpindex/index.html","id":"generalized-price-and-quantity-indexes-","dir":"","previous_headings":"","what":"Generalized Price and Quantity Indexes","title":"Generalized Price and Quantity Indexes","text":"Tools build work bilateral generalized-mean price indexes (extension quantity indexes), indexes composed generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers core mathematical machinery making bilateral price indexes, computing price relatives, detecting outliers, decomposing indexes, wrappers common (many uncommon) index-number formulas. Implements extends many methods Balk (2008), von der Lippe (2001), CPI manual (2020).","code":""},{"path":"https://marberts.github.io/gpindex/index.html","id":"installation","dir":"","previous_headings":"","what":"Installation","title":"Generalized Price and Quantity Indexes","text":"Get stable release CRAN. development version can installed R-Universe directly GitHub.","code":"install.packages(\"gpindex\") install.packages(\"gpindex\", repos = c(\"https://marberts.r-universe.dev\", \"https://cloud.r-project.org\")) pak::pak(\"marberts/gpindex\")"},{"path":"https://marberts.github.io/gpindex/index.html","id":"usage","dir":"","previous_headings":"","what":"Usage","title":"Generalized Price and Quantity Indexes","text":"","code":"library(gpindex)  # Start with some data on prices and quantities for 6 products # over 5 periods price6 #>   t1  t2  t3  t4  t5 #> 1  1 1.2 1.0 0.8 1.0 #> 2  1 3.0 1.0 0.5 1.0 #> 3  1 1.3 1.5 1.6 1.6 #> 4  1 0.7 0.5 0.3 0.1 #> 5  1 1.4 1.7 1.9 2.0 #> 6  1 0.8 0.6 0.4 0.2 quantity6 #>    t1  t2  t3  t4   t5 #> 1 1.0 0.8 1.0 1.2  0.9 #> 2 1.0 0.9 1.1 1.2  1.2 #> 3 2.0 1.9 1.8 1.9  2.0 #> 4 1.0 1.3 3.0 6.0 12.0 #> 5 4.5 4.7 5.0 5.6  6.5 #> 6 0.5 0.6 0.8 1.3  2.5  # We'll only need prices and quantities for a few periods p0 <- price6[[1]] p1 <- price6[[2]] p2 <- price6[[3]] q0 <- price6[[1]] q1 <- price6[[2]]  # There are functions to calculate all common price indexes, # like the Laspeyres and Paasche index laspeyres_index(p1, p0, q0) #> [1] 1.4 paasche_index(p1, p0, q1) #> [1] 1.811905  # The underlying mean functions are also available, as usually # only price relatives and weights are known s0 <- p0 * q0 s1 <- p1 * q1  arithmetic_mean(p1 / p0, s0) #> [1] 1.4 harmonic_mean(p1 / p0, s1) #> [1] 1.811905  # The mean representation of a Laspeyres index makes it easy to # chain by price-updating the weights laspeyres_index(p2, p0, q0) #> [1] 1.05  arithmetic_mean(p1 / p0, s0) *   arithmetic_mean(p2 / p1, update_weights(p1 / p0, s0)) #> [1] 1.05  # The mean representation of a Paasche index makes it easy to # calculate percent-change contributions harmonic_contributions(p1 / p0, s1) #> [1]  0.02857143  0.71428571  0.04642857 -0.02500000  0.06666667 -0.01904762  # The ideas are the same for more exotic indexes, # like the Lloyd-Moulton index  # Let's start by making some functions for the Lloyd-Moulton index # when the elasticity of substitution is -1 (an output index) lloyd_moulton <- lm_index(-1) quadratic_mean <- generalized_mean(2) quadratic_update <- factor_weights(2) quadratic_contributions <- contributions(2)  # This index can be calculated as a mean of price relatives lloyd_moulton(p1, p0, q0) #> [1] 1.592692 quadratic_mean(p1 / p0, s0) #> [1] 1.592692  # Chained over time lloyd_moulton(p2, p0, q0) #> [1] 1.136515 quadratic_mean(p1 / p0, s0) *   quadratic_mean(p2 / p1, quadratic_update(p1 / p0, s0)) #> [1] 1.136515  # And decomposed to get the contributions of each relative quadratic_contributions(p1 / p0, s0) #> [1]  0.03110568  0.51154526  0.04832926 -0.03830484  0.06666667 -0.02665039"},{"path":"https://marberts.github.io/gpindex/index.html","id":"prior-work","dir":"","previous_headings":"","what":"Prior work","title":"Generalized Price and Quantity Indexes","text":"number R packages CRAN implement standard index-number formulas (e.g., IndexNumber, productivity, IndexNumR, micEconIndex, PriceIndices). support large number index-number formulas --box package, focus tools easily make work type generalized-mean price index. Consequently, compared existing packages, package suitable building custom price/quantity indexes, calculating indexes sample data, decomposing indexes, learning researching different types index-number formulas.","code":""},{"path":"https://marberts.github.io/gpindex/index.html","id":"references","dir":"","previous_headings":"","what":"References","title":"Generalized Price and Quantity Indexes","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. ILO, IMF, OECD, Eurostat, UN, World Bank. (2020). Consumer Price Index Manual: Theory Practice. International Monetary Fund. von der Lippe, P. (2001). Chain Indices: Study Price Index Theory, Spectrum Federal Statistics vol. 16. Federal Statistical Office, Wiesbaden.","code":""},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":null,"dir":"Reference","previous_headings":"","what":"Offset a vector prices or quantities — back_period","title":"Offset a vector prices or quantities — back_period","text":"product, compute either position previous period (back period), position first period (base period). Useful price information stored table.","code":""},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Offset a vector prices or quantities — back_period","text":"","code":"back_period(period, product = gl(1, length(period)), match_first = TRUE)  base_period(period, product = gl(1, length(period)), match_first = TRUE)"},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Offset a vector prices or quantities — back_period","text":"period factor, something can coerced one, gives time period transaction. ordering time periods follows levels period agree cut(). product factor, something can coerced one, gives product identifier transaction. default assume transactions product. match_first products first period match (default)?","code":""},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Offset a vector prices or quantities — back_period","text":"functions return numeric vector indices back/base periods. back_period(), periods first, resulting vector gives location corresponding product previous period. base_period(), resulting vector gives location corresponding product first period. locations unchanged first time period match_first = TRUE, NA otherwise.","code":""},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Offset a vector prices or quantities — back_period","text":"definition, must one transaction product time period determine back/base period. multiple transactions correspond period-product pair, back/base period point time always first position product previous period.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Offset a vector prices or quantities — back_period","text":"","code":"df <- data.frame(   price = 1:6,   product = factor(c(\"a\", \"b\")),   period = factor(c(1, 1, 2, 2, 3, 3)) )  with(df, back_period(period, product)) #> [1] 1 2 1 2 3 4  # Make period-over-period price relatives  with(df, price / price[back_period(period, product)]) #> [1] 1.000000 1.000000 3.000000 2.000000 1.666667 1.500000  # Make fixed-base price relatives  with(df, price / price[base_period(period, product)]) #> [1] 1 1 3 2 5 3  # Change the base period with relevel()  with(df, price / price[base_period(relevel(period, \"2\"), product)]) #> [1] 0.3333333 0.5000000 1.0000000 1.0000000 1.6666667 1.5000000  # Warning is given if the same product has multiple prices # at any point in time  with(df, back_period(period)) #> Warning: there are duplicated period-product pairs #> [1] 1 1 1 1 3 3"},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":null,"dir":"Reference","previous_headings":"","what":"Balanced operator — balanced","title":"Balanced operator — balanced","text":"Makes function balance removal NAs across multiple input vectors.","code":""},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Balanced operator — balanced","text":"","code":"balanced(f, ...)"},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Balanced operator — balanced","text":"f function. ... Deprecated. Additional arguments f balanced.","code":""},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Balanced operator — balanced","text":"function like f new argument na.rm. na.rm = TRUE complete.cases() used remove missing values across inputs prior calling f.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Balanced operator — balanced","text":"","code":"p1 <- price6[[3]] p0 <- price6[[2]] q1 <- quantity6[[3]] q0 <- quantity6[[2]]  # Balance missing values for a Fisher index  fisher <- balanced(fisher_index) fisher(p1, p0, q1, replace(q0, 3, NA), na.rm = TRUE) #> [1] 0.9015449 fisher_index(p1[-3], p0[-3], q1[-3], q0[-3]) #> [1] 0.9015449  # Operators can be combined, but some care may be needed  x <- 1:6 w <- c(1:5, NA)  f <- factor(rep(letters[1:2], each = 3))  grouped(\\(x, w) balanced(fisher_mean)(x, w, na.rm = TRUE))(x, w, group = f) #> [1] 1.954017 1.954017 1.954017 4.499657 4.499657 4.499657 balanced(grouped(fisher_mean))(x, w, group = f, na.rm = TRUE) #> [1] 1.954017 1.954017 1.954017 4.499657 4.499657"},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":null,"dir":"Reference","previous_headings":"","what":"Percent-change contributions — contributions","title":"Percent-change contributions — contributions","text":"Calculate additive percent-change contributions generalized-mean price indexes, indexes nest two levels generalized means consisting outer generalized mean two inner generalized means (e.g., Fisher index).","code":""},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Percent-change contributions — contributions","text":"","code":"contributions(r)  arithmetic_contributions(x, w = NULL)  geometric_contributions(x, w = NULL)  harmonic_contributions(x, w = NULL)  nested_contributions(r1, r2, t = c(1, 1))  nested_contributions2(r1, r2, t = c(1, 1))  fisher_contributions(x, w1 = NULL, w2 = NULL)  fisher_contributions2(x, w1 = NULL, w2 = NULL)"},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Percent-change contributions — contributions","text":"r finite number giving order generalized mean. x strictly positive numeric vector. w, w1, w2 strictly positive numeric vector weights, length x. default equally weight element x. r1 finite number giving order outer generalized mean. r2 pair finite numbers giving order inner generalized means. t pair strictly positive weights inner generalized means. default equal weights.","code":""},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Percent-change contributions — contributions","text":"contributions() returns function: computes additive contribution element x index based generalized mean order r weights w. nested_contributions() nested_contributions2() return function: computes additive contribution element x generalized mean order r1 aggregates generalized-mean index order r2[1] weights w1 generalized-mean index order r2[2] weights w2. arithmetic_contributions(), geometric_contributions(), harmonic_contributions() return numeric vector, length x, giving contribution element x arithmetic, geometric, harmonic index. fisher_contributions() fisher_contributions2() return numeric vector, length x, giving contribution element x geometric mean aggregates arithmetic mean x weights w1 harmonic mean x weights w2.","code":"function(x, w = NULL){...} function(x, w1 = NULL, w2 = NULL){...}"},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Percent-change contributions — contributions","text":"function contributions() simple wrapper transmute_weights(r, 1)() calculate (additive) percent-change contributions price index based generalized mean order r. returns function compute vector v(x, w) generalizes approach calculating percent-change contributions section 4.2 Balk (2008) using method Martin (2021). arithmetic_contributions(), geometric_contributions() harmonic_contributions() functions cover important cases (.e., r = 1, r = 0, r = -1). nested_contributions() nested_contributions2() functions analog contributions() index based nested generalized mean two levels, like Fisher index. return function calculates contribution element x generalized mean order r1 aggregates two generalized-mean indexes x orders r2, weights w1 w2. Unlike case generalized-mean index, several ways make contributions index based nested generalized means. nested_contributions() uses generalization algorithm section 6 Reinsdorf et al. (2002) Martin (2021). nested_contributions2() generalizes van IJzeren decomposition Fisher index (Balk, 2008, section 4.2.2) constructing weighted average contributions inner means approach Martin (2021). cases results broadly similar. fisher_contributions() fisher_contributions2() functions correspond nested_contributions(0, c(1, -1))() nested_contributions2(0, c(1, -1))(), appropriate calculating percent-change contributions Fisher index.","code":"generalized_mean(r)(x, w) - 1 == sum(v(x, w))"},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Percent-change contributions — contributions","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Hallerbach, W. G. (2005). alternative decomposition Fisher index. Economics Letters, 86(2):147--152 Martin, S. (2021). note general decompositions price indexes. Prices Analytical Series, Statistics Canada catalogue . 62F0014M. Statistics Canada, Ottawa. Reinsdorf, M. B., Diewert, W. E., Ehemann, C. (2002). Additive decompositions Fisher, Törnqvist geometric mean indexes. Journal Economic Social Measurement, 28(1-2):51--61. Webster, M. Tarnow-Mordi, R. C. (2019). Decomposing multilateral price indexes contributions individual commodities. Journal Official Statistics, 35(2):461--486.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Percent-change contributions — contributions","text":"","code":"x <- 2:3  #---- Contributions for a geometric index ----  geometric_mean(x) - 1 # percent change in the Jevons index #> [1] 1.44949  geometric_contributions(x) #> [1] 0.5505103 0.8989795  all.equal(geometric_mean(x) - 1, sum(geometric_contributions(x))) #> [1] TRUE  # This works by first transmuting the weights in the geometric mean # into weights for an arithmetic mean, then finding the contributions # to the percent change  transmute_weights(0, 1)(x) * (x - 1) #> [1] 0.5505103 0.8989795  # Not the only way to calculate contributions  transmute2 <- function(x) {   m <- geometric_mean(x)   (m - 1) / log(m) * log(x) / (x - 1) / length(x) }  transmute2(x) * (x - 1) # not proportional to the method above #> [1] 0.5607392 0.8887506 all.equal(sum(transmute2(x) * (x - 1)), geometric_mean(x) - 1) #> [1] TRUE  # But these \"transmuted\" weights don't recover the geometric mean! # Not a particularly good way to calculate contributions  isTRUE(all.equal(   arithmetic_mean(x, transmute2(x)),   geometric_mean(x) )) #> [1] FALSE  # There are infinitely many ways to calculate contributions, but the # weights from transmute_weights(0, 1)() are the *unique* weights that # recover the geometric mean  perturb <- function(w, e) {   w + c(e, -e) / (x - 1) }  perturb(transmute2(x), 0.1) * (x - 1) #> [1] 0.6607392 0.7887506 all.equal(   sum(perturb(transmute2(x), 0.1) * (x - 1)),   geometric_mean(x) - 1 ) #> [1] TRUE isTRUE(all.equal(   arithmetic_mean(x, perturb(transmute2(x), 0.1)),   geometric_mean(x) )) #> [1] FALSE  #---- Contributions for a Fisher index ----  p1 <- price6[[2]] p0 <- price6[[1]] q1 <- quantity6[[2]] q0 <- quantity6[[1]]  # Percent-change contributions for the Fisher index in section 6 of # Reinsdorf et al. (2002)  (con <- fisher_contributions(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Paasche\")(p1, q1) )) #> [1]  0.01782904  0.18814917  0.05792820 -0.03414299  0.18217457 -0.01088796  all.equal(sum(con), fisher_index(p1, p0, q1, q0) - 1) #> [1] TRUE  # Not the only way  (con2 <- fisher_contributions2(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Paasche\")(p1, q1) )) #> [1]  0.01782865  0.18815627  0.05792735 -0.03414531  0.18217135 -0.01088828  all.equal(sum(con2), fisher_index(p1, p0, q1, q0) - 1) #> [1] TRUE  # The same as the van IJzeren decomposition in section 4.2.2 of # Balk (2008)  Qf <- quantity_index(fisher_index)(q1, q0, p1, p0) Ql <- quantity_index(laspeyres_index)(q1, q0, p0) wl <- scale_weights(index_weights(\"Laspeyres\")(p0, q0)) wp <- scale_weights(index_weights(\"HybridPaasche\")(p0, q1))  (Qf / (Qf + Ql) * wl + Ql / (Qf + Ql) * wp) * (p1 / p0 - 1) #> [1]  0.01782865  0.18815627  0.05792735 -0.03414531  0.18217135 -0.01088828  # Similar to the method in section 2 of Reinsdorf et al. (2002), # although those contributions aren't based on weights that sum to 1  Pf <- fisher_index(p1, p0, q1, q0) Pl <- laspeyres_index(p1, p0, q0)  (1 / (1 + Pf) * wl + Pl / (1 + Pf) * wp) * (p1 / p0 - 1) #> [1]  0.01760668  0.18766299  0.05803833 -0.03510719  0.18397180 -0.01112258  # Also similar to the decomposition by Hallerbach (2005), noting that # the Euler weights are close to unity  Pp <- paasche_index(p1, p0, q1)  (0.5 * sqrt(Pp / Pl) * wl + 0.5 * sqrt(Pl / Pp) * wp) * (p1 / p0 - 1) #> [1]  0.01781577  0.18809422  0.05791874 -0.03417605  0.18220228 -0.01089519  #---- Contributions for other types of indexes ----  # A function to get contributions for any superlative quadratic mean of # order 'r' index  superlative_contributions <- function(r) {   nested_contributions(0, c(r / 2, -r / 2)) }  # Can be used to decompose the implict Walsh index  superlative_contributions(1)(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Paasche\")(p1, q1) ) #> [1]  0.01797225  0.18686566  0.05817035 -0.03351992  0.18283997 -0.01079435  # Works for other types of indexes, like the harmonic # Laspeyres Paasche index  hlp_contributions <- nested_contributions(-1, c(1, -1)) hlp_contributions(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Paasche\")(p1, q1) ) #> [1]  0.01781416  0.18807725  0.05791352 -0.03417296  0.18218584 -0.01089421  # Or the AG mean index (tau = 0.25)  agmean_contributions <- nested_contributions(1, c(0, 1), c(0.25, 0.75)) agmean_contributions(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Laspeyres\")(p0, q0) ) #> [1]  0.02020872  0.18206588  0.06001941 -0.03256065  0.17841536 -0.01065698  # Or the Balk-Walsh index  bw_contributions <- nested_contributions(0, c(0.5, -0.5)) bw_contributions(p1 / p0) #> [1]  0.03304293  0.20895332  0.04762026 -0.06488592  0.06118424 -0.04046550"},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":null,"dir":"Reference","previous_headings":"","what":"Extended mean — extended_mean","title":"Extended mean — extended_mean","text":"Calculate generalized logarithmic mean / extended mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Extended mean — extended_mean","text":"","code":"extended_mean(r, s)  generalized_logmean(r)  logmean(a, b, tol = .Machine$double.eps^0.5)"},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Extended mean — extended_mean","text":"r, s finite number giving order generalized logarithmic mean / extended mean. , b strictly positive numeric vector. tol tolerance used determine == b.","code":""},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Extended mean — extended_mean","text":"generalized_logmean() extended_mean() return function: computes component-wise generalized logarithmic mean order r, extended mean orders r s, b. logmean() returns numeric vector, length max(length(), length(b)), giving component-wise logarithmic mean b.","code":"function(a, b, tol = .Machine$double.eps^0.5){...}"},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Extended mean — extended_mean","text":"function extended_mean() returns function compute component-wise extended mean b orders r s. See Bullen (2003, p. 393) definition. also called difference mean, Stolarsky mean, extended mean-value mean. function generalized_logmean() returns function compute component-wise generalized logarithmic mean b order r. See Bullen (2003, p. 385) definition, https://en.wikipedia.org/wiki/Stolarsky_mean. generalized logarithmic mean special case extended mean, corresponding extended_mean(r, 1)(), commonly used price indexes. function logmean() returns ordinary component-wise logarithmic mean b, corresponds generalized_logmean(1)(). b strictly positive. enforced, results may make sense generalized logarithmic mean / extended mean defined. usual recycling rules apply b length. definition, generalized logarithmic mean / extended mean b == b. tol argument used test equality checking abs(- b) <= tol. default value .equal(). Setting tol = 0 tests exact equality, can give misleading results b computed values. cases useful multiply tol scale factor, max(abs(), abs(b)). often matter making price indexes, however, b usually around 1.","code":""},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Extended mean — extended_mean","text":"generalized_logmean() can defined extended real line, r = -Inf / Inf returns pmin()/pmax(), agree definition , e.g., Bullen (2003). implemented, r must finite original formulation Stolarsky (1975).","code":""},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Extended mean — extended_mean","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Bullen, P. S. (2003). Handbook Means Inequalities. Springer Science+Business Media. Stolarsky, K. B. (1975). Generalizations Logarithmic Mean. Mathematics Magazine, 48(2): 87-92.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Extended mean — extended_mean","text":"","code":"x <- 8:5 y <- 1:4  #---- Comparing logarithmic means and generalized means ----  # The arithmetic and geometric means are special cases of the # generalized logarithmic mean  all.equal(generalized_logmean(2)(x, y), (x + y) / 2) #> [1] TRUE all.equal(generalized_logmean(-1)(x, y), sqrt(x * y)) #> [1] TRUE  # The logarithmic mean lies between the arithmetic and geometric means # because the generalized logarithmic mean is increasing in r  all(logmean(x, y) < (x + y) / 2) &   all(logmean(x, y) > sqrt(x * y)) #> [1] TRUE  # The harmonic mean cannot be expressed as a logarithmic mean, but can # be expressed as an extended mean  all.equal(extended_mean(-2, -1)(x, y), 2 / (1 / x + 1 / y)) #> [1] TRUE  # The quadratic mean is also a type of extended mean  all.equal(extended_mean(2, 4)(x, y), sqrt(x^2 / 2 + y^2 / 2)) #> [1] TRUE  # As are heronian and centroidal means  all.equal(   extended_mean(0.5, 1.5)(x, y),   (x + sqrt(x * y) + y) / 3 ) #> [1] TRUE all.equal(   extended_mean(2, 3)(x, y),   2 / 3 * (x^2 + x * y + y^2) / (x + y) ) #> [1] TRUE  #---- Approximating the logarithmic mean ----  # The logarithmic mean can be approximated as a convex combination of # the arithmetic and geometric means that gives more weight to the # geometric mean  approx1 <- 1 / 3 * (x + y) / 2 + 2 / 3 * sqrt(x * y) approx2 <- ((x + y) / 2)^(1 / 3) * (sqrt(x * y))^(2 / 3)  approx1 - logmean(x, y) # always a positive approximation error #> [1] 1.932965e-02 3.260257e-03 3.420021e-04 3.852275e-06 approx2 - logmean(x, y) # a negative approximation error #> [1] -6.436118e-02 -1.212079e-02 -1.336412e-03 -1.537117e-05  # A better approximation  correction <- (log(x / y) / pi)^4 / 32 approx1 / (1 + correction) - logmean(x, y) #> [1] -8.576372e-04  1.064231e-04  2.148563e-05  2.877344e-07  #---- Some identities ----  # A useful identity for turning an additive change into a proportionate # change  all.equal(logmean(x, y) * log(x / y), x - y) #> [1] TRUE  # Works for other orders, too  r <- 2  all.equal(   generalized_logmean(r)(x, y)^(r - 1) * (r * (x - y)),   (x^r - y^r) ) #> [1] TRUE  # Some other identities  all.equal(   generalized_logmean(-2)(1, 2),   (harmonic_mean(1:2) * geometric_mean(1:2)^2)^(1 / 3) ) #> [1] TRUE  all.equal(   generalized_logmean(0.5)(1, 2),   (arithmetic_mean(1:2) + geometric_mean(1:2)) / 2 ) #> [1] TRUE  all.equal(   logmean(1, 2),   geometric_mean(1:2)^2 * logmean(1, 1 / 2) ) #> [1] TRUE  #---- Integral representations of the logarithmic mean ----  logmean(2, 3) #> [1] 2.466303  integrate(function(t) 2^(1 - t) * 3^t, 0, 1)$value #> [1] 2.466303 1 / integrate(function(t) 1 / (2 * (1 - t) + 3 * t), 0, 1)$value #> [1] 2.466303"},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":null,"dir":"Reference","previous_headings":"","what":"Factor weights — factor_weights","title":"Factor weights — factor_weights","text":"Factor weights turn generalized mean product product generalized means. Useful price-updating weights generalized-mean index.","code":""},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Factor weights — factor_weights","text":"","code":"factor_weights(r)  update_weights(x, w = NULL)"},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Factor weights — factor_weights","text":"r finite number giving order generalized mean. x strictly positive numeric vector. w strictly positive numeric vector weights, length x. default equally weight element x.","code":""},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Factor weights — factor_weights","text":"factor_weights() return function: update_weights() returns numeric vector length x.","code":"function(x, w = NULL){...}"},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Factor weights — factor_weights","text":"function factor_weights(r) returns function compute weights u(x, w) generalizes result section C.5 Chapter 9 PPI Manual chaining Young index, gives way chain generalized-mean price indexes time. Factoring weights r = 1 sometimes gets called price-updating weights; update_weights() simply calls factor_weights(1)(). Factoring weights return value length x, missing values x weights return NA. Unless values NA, however, result still satisfy identity na.rm = TRUE.","code":"generalized_mean(r)(x * y, w) ==   generalized_mean(r)(x, w) * generalized_mean(r)(y, u(x, w))"},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Factor weights — factor_weights","text":"ILO, IMF, OECD, Eurostat, UN, World Bank. (2004). Producer Price Index Manual: Theory Practice. International Monetary Fund.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Factor weights — factor_weights","text":"","code":"x <- 1:3 y <- 4:6 w <- 3:1 # Factor the harmonic mean by chaining the calculation  harmonic_mean(x * y, w) #> [1] 5.966851 harmonic_mean(x, w) * harmonic_mean(y, factor_weights(-1)(x, w)) #> [1] 5.966851  # The common case of an arithmetic mean  arithmetic_mean(x * y, w) #> [1] 8.333333 arithmetic_mean(x, w) * arithmetic_mean(y, update_weights(x, w)) #> [1] 8.333333  # In cases where x and y have the same order, Chebyshev's # inequality implies that the chained calculation is too small  arithmetic_mean(x * y, w) >   arithmetic_mean(x, w) * arithmetic_mean(y, w) #> [1] TRUE"},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":null,"dir":"Reference","previous_headings":"","what":"GEKS index — geks","title":"GEKS index — geks","text":"Calculate generalized inter-temporal GEKS price index rolling window, described chapter 7 Balk (2008), Ivancic et al. (2011), chapter 10 CPI manual (2020).","code":""},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"GEKS index — geks","text":"","code":"geks(f, r = 0)  tornqvist_geks(   p,   q,   period,   product,   window = nlevels(period),   n = window - 1L,   na.rm = FALSE )  fisher_geks(   p,   q,   period,   product,   window = nlevels(period),   n = window - 1L,   na.rm = FALSE )  walsh_geks(   p,   q,   period,   product,   window = nlevels(period),   n = window - 1L,   na.rm = FALSE )"},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"GEKS index — geks","text":"f price index function uses information base current-period prices quantities, satisfies time-reversal test. Usually Törnqvist, Fisher, Walsh index. r finite number giving order generalized mean used average price indexes rolling window. default uses geometric mean. p numeric vector prices, length q. q numeric vector quantities, length p. period factor, something can coerced one, gives corresponding time period element p q. ordering time periods follows levels period agree cut(). product factor, something can coerced one, gives corresponding product identifier element p q. window positive integer giving length rolling window. default window encompasses periods period. Non-integers truncated towards zero. n positive integer giving length index series window, starting end window. example, 13 periods window, setting n = 1 gives index period 13. default gives index period window. Non-integers truncated towards zero. na.rm Passed f control missing values removed.","code":""},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"GEKS index — geks","text":"geks() returns function: calculates period--period GEKS index desired index-number formula, returning list window named-numeric vector index values. tornqvist_geks(), fisher_geks(), walsh_geks() return list named numeric vector giving value respective period--period GEKS index window.","code":"function(p, q, period, product, window = nlevels(period), n =          window - 1, na.rm = FALSE){...}"},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"GEKS index — geks","text":"Like back_period(), multiple prices correspond period-product pair, back price point time always first price product previous period. Unlike bilateral index, however, duplicated period-product pairs can subtle implications multilateral index.","code":""},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"GEKS index — geks","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. ILO, IMF, OECD, Eurostat, UN, World Bank. (2020). Consumer Price Index Manual: Theory Practice. International Monetary Fund. Ivancic, L., Diewert, W. E., Fox, K. J. (2011). Scanner data, time aggregation construction price indexes. Journal Econometrics, 161(1): 24--35.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"GEKS index — geks","text":"","code":"price <- 1:10 quantity <- 10:1 period <- rep(1:5, 2) product <- rep(letters[1:2], each = 5)  cumprod(tornqvist_geks(price, quantity, period, product)[[1]]) #>        2        3        4        5  #> 1.413257 1.835676 2.284565 2.789856   # Calculate the index over a rolling window  (tg <- tornqvist_geks(price, quantity, period, product, window = 3)) #> [[1]] #>        2        3  #> 1.391443 1.294442  #>  #> [[2]] #>        3        4  #> 1.292486 1.238393  #>  #> [[3]] #>        4        5  #> 1.238417 1.205921  #>   # Use a movement splice to combine the indexes in each window  splice_index(tg, 2) #> [1] 1.391443 1.801142 2.230521 2.689833  # ... or use a mean splice  splice_index(tg) #> [1] 1.391443 1.801142 2.228836 2.687826  #---- Missing data ----  quantity[2] <- NA  # Use all non-missing data  fisher_geks(price, quantity, period, product, na.rm = TRUE) #> [[1]] #>        2        3        4        5  #> 1.438137 1.234230 1.234212 1.216746  #>   # Remove records with any missing data  fg <- geks(balanced(fisher_index)) fg(price, quantity, period, product, na.rm = TRUE) #> [[1]] #>        2        3        4        5  #> 1.501481 1.148250 1.219688 1.199513  #>   #---- Make a Jevons GEKS index ----  jevons_geks <- geks(\\(p1, p0, ..., na.rm) jevons_index(p1, p0, na.rm)) jevons_geks(price, quantity, period, product) #> [[1]] #>        2        3        4        5  #> 1.527525 1.309307 1.224745 1.178511  #>"},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":null,"dir":"Reference","previous_headings":"","what":"Generalized mean — generalized_mean","title":"Generalized mean — generalized_mean","text":"Calculate weighted generalized mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Generalized mean — generalized_mean","text":"","code":"generalized_mean(r)  arithmetic_mean(x, w = NULL, na.rm = FALSE)  geometric_mean(x, w = NULL, na.rm = FALSE)  harmonic_mean(x, w = NULL, na.rm = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Generalized mean — generalized_mean","text":"r finite number giving order generalized mean. x strictly positive numeric vector. w strictly positive numeric vector weights, length x. default equally weight element x. na.rm missing values x w removed? default missing values x w return missing value.","code":""},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generalized mean — generalized_mean","text":"generalized_mean() returns function: computes generalized mean order r x weights w. arithmetic_mean(), geometric_mean(), harmonic_mean() return numeric value generalized means order 1, 0, -1.","code":"function(x, w = NULL, na.rm = FALSE){...}"},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Generalized mean — generalized_mean","text":"function generalized_mean() returns function compute generalized mean x weights w exponent r (.e., \\(\\prod_{= 1}^{n} x_{}^{w_{}}\\) \\(r = 0\\) \\(\\left(\\sum_{= 1}^{n} w_{} x_{}^{r}\\right)^{1 / r}\\) otherwise). also called power mean, Hölder mean, \\(l_p\\) mean. See Bullen (2003, p. 175) definition, https://en.wikipedia.org/wiki/Generalized_mean. generalized mean solution optimal prediction problem: choose \\(m\\) minimize \\(\\sum_{= 1}^{n} w_{} \\left[\\log(x_{}) - \\log(m) \\right]^2\\) \\(r = 0\\), \\(\\sum_{= 1}^{n} w_{} \\left[x_{}^r - m^r \\right]^2\\) otherwise. functions arithmetic_mean(), geometric_mean(), harmonic_mean() compute arithmetic, geometric, harmonic (subcontrary) means, also known Pythagorean means. useful means making price indexes, correspond setting r = 1, r = 0, r = -1 generalized_mean(). x w strictly positive (finite), especially purpose making price index. enforced, results may make sense generalized mean defined. two exceptions . convention Hardy et al. (1952, p. 13) used cases x zeros: generalized mean 0 whenever w strictly positive r < 0. (analogous convention holds whenever least one element x Inf: generalized mean Inf whenever w strictly positive r > 0.) authors let w non-negative sum 1 (e.g., Sydsaeter et al., 2005, p. 47). w zeros, corresponding element x impact mean whenever x strictly positive. Unlike weighted.mean(), however, zeros w strong zeros, infinite values x propagate even corresponding elements w zero. weights scaled sum 1 satisfy definition generalized mean. certain price indexes weights scaled (e.g., Vartia-index); use sum() cases. underlying calculation returned generalized_mean() mostly identical weighted.mean(), one important exception: missing values weights treated differently missing values x. Setting na.rm = TRUE drops missing values x w, just x. ensures certain useful identities satisfied missing values x. cases arithmetic_mean() drop-replacement weighted.mean().","code":""},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Generalized mean — generalized_mean","text":"generalized_mean() can defined extended real line, r = -Inf / Inf returns min()/max(), agree definition , e.g., Bullen (2003). implemented, r must finite. number existing functions calculating unweighted geometric harmonic means, namely geometric.mean() harmonic.mean() functions psych package, geomean() function FSA package, GMean() HMean() functions DescTools package, geoMean() function EnvStats package. Similarly, ci_generalized_mean() function Compind package calculates unweighted generalized mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Generalized mean — generalized_mean","text":"Bullen, P. S. (2003). Handbook Means Inequalities. Springer Science+Business Media. Fisher, . (1922). Making Index Numbers. Houghton Mifflin Company. Hardy, G., Littlewood, J. E., Polya, G. (1952). Inequalities (2nd edition). Cambridge University Press. ILO, IMF, OECD, Eurostat, UN, World Bank. (2020). Consumer Price Index Manual: Theory Practice. International Monetary Fund. Lord, N. (2002). Smaller Spread Always Mean Larger Product? Mathematical Gazette, 86(506): 273-274. Sydsaeter, K., Strom, ., Berck, P. (2005). Economists' Mathematical Manual (4th edition). Springer.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generalized mean — generalized_mean","text":"","code":"x <- 1:3 w <- c(0.25, 0.25, 0.5)  #---- Common generalized means ----  # Arithmetic mean  arithmetic_mean(x, w) # same as weighted.mean(x, w) #> [1] 2.25  # Geometric mean  geometric_mean(x, w) # same as prod(x^w) #> [1] 2.059767  # Harmonic mean  harmonic_mean(x, w) # same as 1 / weighted.mean(1 / x, w) #> [1] 1.846154  # Quadratic mean / root mean square  generalized_mean(2)(x, w) #> [1] 2.397916  # Cubic mean # Notice that this is larger than the other means so far because # the generalized mean is increasing in r  generalized_mean(3)(x, w) #> [1] 2.506649  #---- Comparing the Pythagorean means ----  # The dispersion between the arithmetic, geometric, and harmonic # mean usually increases as the variance of 'x' increases  x <- c(1, 3, 5) y <- c(2, 3, 4)  var(x) > var(y) #> [1] TRUE  arithmetic_mean(x) - geometric_mean(x) #> [1] 0.5337879 arithmetic_mean(y) - geometric_mean(y) #> [1] 0.1155009  geometric_mean(x) - harmonic_mean(x) #> [1] 0.5096903 geometric_mean(y) - harmonic_mean(y) #> [1] 0.1152684  # But the dispersion between these means is only bounded by the # variance (Bullen, 2003, p. 156)  arithmetic_mean(x) - geometric_mean(x) >= 2 / 3 * var(x) / (2 * max(x)) #> [1] TRUE arithmetic_mean(x) - geometric_mean(x) <= 2 / 3 * var(x) / (2 * min(x)) #> [1] TRUE  # Example by Lord (2002) where the dispersion decreases as the variance # increases, counter to the claims by Fisher (1922, p. 108) and the # CPI manual (par. 1.14)  x <- (5 + c(sqrt(5), -sqrt(5), -3)) / 4 y <- (16 + c(7 * sqrt(2), -7 * sqrt(2), 0)) / 16  var(x) > var(y) #> [1] TRUE  arithmetic_mean(x) - geometric_mean(x) #> [1] 0.145012 arithmetic_mean(y) - geometric_mean(y) #> [1] 0.1485894  geometric_mean(x) - harmonic_mean(x) #> [1] 0.104988 geometric_mean(y) - harmonic_mean(y) #> [1] 0.1439479  # The \"bias\" in the arithmetic and harmonic indexes is also smaller in # this case, counter to the claim by Fisher (1922, p. 108)  arithmetic_mean(x) * arithmetic_mean(1 / x) - 1 #> [1] 0.3333333 arithmetic_mean(y) * arithmetic_mean(1 / y) - 1 #> [1] 0.4135021  harmonic_mean(x) * harmonic_mean(1 / x) - 1 #> [1] -0.25 harmonic_mean(y) * harmonic_mean(1 / y) - 1 #> [1] -0.2925373  #---- Missing values ----  w[2] <- NA  arithmetic_mean(x, w, na.rm = TRUE) # drop the second observation #> [1] 0.936339 weighted.mean(x, w, na.rm = TRUE) # still returns NA #> [1] NA"},{"path":"https://marberts.github.io/gpindex/reference/gpindex-package.html","id":null,"dir":"Reference","previous_headings":"","what":"gpindex: Generalized Price and Quantity Indexes — gpindex-package","title":"gpindex: Generalized Price and Quantity Indexes — gpindex-package","text":"Tools build work bilateral generalized-mean price indexes (extension quantity indexes), indexes composed generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers core mathematical machinery making bilateral price indexes, computing price relatives, detecting outliers, decomposing indexes, wrappers common (many uncommon) index-number formulas. Implements extends many methods Balk (2008, ISBN:978-1-107-40496-0), von der Lippe (2001, ISBN:3-8246-0638-0), CPI manual (2020, ISBN:978-1-51354-298-0).","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/gpindex-package.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"gpindex: Generalized Price and Quantity Indexes — gpindex-package","text":"Maintainer: Steve Martin marberts@protonmail.com (ORCID) [copyright holder]","code":""},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":null,"dir":"Reference","previous_headings":"","what":"Grouped operator — grouped","title":"Grouped operator — grouped","text":"Make function applicable grouped data.","code":""},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Grouped operator — grouped","text":"","code":"grouped(f, ...)"},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Grouped operator — grouped","text":"f function. ... Deprecated. Additional arguments f treated grouped.","code":""},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Grouped operator — grouped","text":"function like f new argument group. accepts factor split arguments f groups applying f group combining results. similar ave(), general.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Grouped operator — grouped","text":"","code":"p1 <- price6[[3]] p0 <- price6[[2]] q1 <- quantity6[[3]] q0 <- quantity6[[2]]  # Calculate Tornqvist weights for two groups  f <- factor(rep(letters[1:2], each = 3)) tornqvist_weights <- grouped(index_weights(\"Tornqvist\")) tornqvist_weights(p1, p0, q1, q0, group = f) #> [1] 0.18247009 0.33481172 0.48271819 0.12865397 0.81833234 0.05301369  # Calculate a mean like ave(), but with weights  x <- 1:6 w <- c(1:5, NA) grouped_mean <- grouped(\\(x, w) geometric_mean(x, w, na.rm = TRUE)) grouped_mean(x, w, group = f) #> [1] 2.182247 2.182247 2.182247 4.527921 4.527921 4.527921  # Redistribute weights  w1 <- c(2, 4) w2 <- 1:6  harmonic_mean(mapply(harmonic_mean, split(x, f), split(w2, f)), w1) #> [1] 3.333333  wr <- grouped(scale_weights)(w2, group = f) * w1[f] harmonic_mean(x, wr) #> [1] 3.333333"},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":null,"dir":"Reference","previous_headings":"","what":"Index weights — index_weights","title":"Index weights — index_weights","text":"Calculate weights variety different price indexes.","code":""},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Index weights — index_weights","text":"","code":"index_weights(   type = c(\"Carli\", \"Jevons\", \"Coggeshall\", \"Dutot\", \"Laspeyres\", \"HybridLaspeyres\",     \"LloydMoulton\", \"Palgrave\", \"Paasche\", \"HybridPaasche\", \"Drobisch\", \"Unnamed\",     \"Tornqvist\", \"Walsh1\", \"Walsh2\", \"MarshallEdgeworth\", \"GearyKhamis\", \"Vartia1\",     \"MontgomeryVartia\", \"Vartia2\", \"SatoVartia\", \"Theil\", \"Rao\", \"Lowe\", \"Young\") )"},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Index weights — index_weights","text":"type name index. See details possible types indexes.","code":""},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Index weights — index_weights","text":"function current base period prices/quantities calculates relevant weights.","code":""},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Index weights — index_weights","text":"index_weights() function returns function calculate weights variety price indexes. Weights following types indexes can calculated. Carli / Jevons / Coggeshall Dutot Laspeyres / Lloyd-Moulton Hybrid Laspeyres (use harmonic mean) Paasche / Palgrave Hybrid Paasche (use arithmetic mean) Törnqvist / Unnamed Drobisch Walsh-(arithmetic Walsh index) Walsh-II (geometric Walsh index) Marshall-Edgeworth Geary-Khamis Montgomery-Vartia / Vartia-Sato-Vartia / Vartia-II Theil Rao Lowe Young weights need sum 1, normalization always appropriate (.e., Vartia-weights).","code":""},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Index weights — index_weights","text":"Naming indexes weights generally follows CPI manual (2020), Balk (2008), Selvanathan Rao (1994). several cases two names correspond weights (e.g., Paasche Palgrave, Sato-Vartia Vartia-II). calculations given examples.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Index weights — index_weights","text":"","code":"p0 <- price6[[2]] p1 <- price6[[3]] q0 <- quantity6[[2]] q1 <- quantity6[[3]] pb <- price6[[1]] qb <- quantity6[[1]]  #---- Making the weights for different indexes ----  # Explicit calculation for each of the different weights # Carli/Jevons/Coggeshall  all.equal(index_weights(\"Carli\")(p1), rep(1, length(p0))) #> [1] TRUE  # Dutot  all.equal(index_weights(\"Dutot\")(p0), p0) #> [1] TRUE  # Laspeyres / Lloyd-Moulton  all.equal(index_weights(\"Laspeyres\")(p0, q0), p0 * q0) #> [1] TRUE  # Hybrid Laspeyres  all.equal(index_weights(\"HybridLaspeyres\")(p1, q0), p1 * q0) #> [1] TRUE  # Paasche / Palgrave  all.equal(index_weights(\"Paasche\")(p1, q1), p1 * q1) #> [1] TRUE  # Hybrid Paasche  all.equal(index_weights(\"HybridPaasche\")(p0, q1), p0 * q1) #> [1] TRUE  # Tornqvist / Unnamed  all.equal(   index_weights(\"Tornqvist\")(p1, p0, q1, q0),   0.5 * p0 * q0 / sum(p0 * q0) + 0.5 * p1 * q1 / sum(p1 * q1) ) #> [1] TRUE  # Drobisch  all.equal(   index_weights(\"Drobisch\")(p1, p0, q1, q0),   0.5 * p0 * q0 / sum(p0 * q0) + 0.5 * p0 * q1 / sum(p0 * q1) ) #> [1] TRUE  # Walsh-I  all.equal(   index_weights(\"Walsh1\")(p0, q1, q0),   p0 * sqrt(q0 * q1) ) #> [1] TRUE  # Marshall-Edgeworth  all.equal(   index_weights(\"MarshallEdgeworth\")(p0, q1, q0),   p0 * (q0 + q1) ) #> [1] TRUE  # Geary-Khamis  all.equal(   index_weights(\"GearyKhamis\")(p0, q1, q0),   p0 / (1 / q0 + 1 / q1) ) #> [1] TRUE  # Montgomery-Vartia / Vartia-I  all.equal(   index_weights(\"MontgomeryVartia\")(p1, p0, q1, q0),   logmean(p0 * q0, p1 * q1) / logmean(sum(p0 * q0), sum(p1 * q1)) ) #> [1] TRUE  # Sato-Vartia / Vartia-II  all.equal(   index_weights(\"SatoVartia\")(p1, p0, q1, q0),   logmean(p0 * q0 / sum(p0 * q0), p1 * q1 / sum(p1 * q1)) ) #> [1] TRUE  # Walsh-II  all.equal(   index_weights(\"Walsh2\")(p1, p0, q1, q0),   sqrt(p0 * q0 * p1 * q1) ) #> [1] TRUE  # Theil  all.equal(index_weights(\"Theil\")(p1, p0, q1, q0), {   w0 <- scale_weights(p0 * q0)   w1 <- scale_weights(p1 * q1)   (w0 * w1 * (w0 + w1) / 2)^(1 / 3) }) #> [1] TRUE  # Rao  all.equal(index_weights(\"Rao\")(p1, p0, q1, q0), {   w0 <- scale_weights(p0 * q0)   w1 <- scale_weights(p1 * q1)   w0 * w1 / (w0 + w1) }) #> [1] TRUE  # Lowe  all.equal(index_weights(\"Lowe\")(p0, qb), p0 * qb) #> [1] TRUE  # Young  all.equal(index_weights(\"Young\")(pb, qb), pb * qb) #> [1] TRUE"},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":null,"dir":"Reference","previous_headings":"","what":"Lehmer mean — lehmer_mean","title":"Lehmer mean — lehmer_mean","text":"Calculate weighted Lehmer mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Lehmer mean — lehmer_mean","text":"","code":"lehmer_mean(r)  contraharmonic_mean(x, w = NULL, na.rm = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Lehmer mean — lehmer_mean","text":"r finite number giving order Lehmer mean. x strictly positive numeric vector. w strictly positive numeric vector weights, length x. default equally weight element x. na.rm missing values x w removed? default missing values x w return missing value.","code":""},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Lehmer mean — lehmer_mean","text":"lehmer_mean() returns function: computes Lehmer mean order r x weights w. contraharmonic_mean() returns numeric value Lehmer mean order 2.","code":"function(x, w = NULL, na.rm = FALSE){...}"},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Lehmer mean — lehmer_mean","text":"function lehmer_mean() returns function compute Lehmer mean order r x weights w, calculated arithmetic mean x weights \\(wx^{r-1}\\). also called counter-harmonic mean generalized anti-harmonic mean. See Bullen (2003, p. 245) definition, https://en.wikipedia.org/wiki/Lehmer_mean. Lehmer mean order 2 sometimes called contraharmonic (anti-harmonic) mean. function contraharmonic_mean() simply calls lehmer_mean(2)(). Like generalized mean, contraharmonic mean solution optimal prediction problem: choose \\(m\\) minimize \\(\\sum_{= 1}^{n} w_{} \\left(\\frac{x_{}}{m} - 1 \\right)^2\\). Lehmer mean order -1 similar interpretation, replacing \\(\\frac{x_{}}{m}\\) \\(\\frac{m}{x_{}}\\), together bound harmonic arithmetic means. Lehmer mean alternative generalized mean generalizes Pythagorean means. function lehmer_mean(1)() identical arithmetic_mean(), lehmer_mean(0)() identical harmonic_mean(), lehmer_mean(0.5)() identical geometric_mean() two values weights. See von der Lippe (2015) details use means making price indexes.","code":""},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Lehmer mean — lehmer_mean","text":"lehmer_mean() can defined extended real line, r = -Inf / Inf returns min()/max(), agree definition , e.g., Bullen (2003). implemented, r must finite.","code":""},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Lehmer mean — lehmer_mean","text":"Bullen, P. S. (2003). Handbook Means Inequalities. Springer Science+Business Media. Lehmer, D. H. (1971). Compounding Certain Means. Journal Mathematical Analysis Applications, 36(1): 183-200. von der Lippe, P. (2015). Generalized Statistical Means New Price Index Formulas, Notes unexplored index formulas, interpretations generalizations. Munich Personal RePEc Archive paper . 64952.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Lehmer mean — lehmer_mean","text":"","code":"x <- 2:3 w <- c(0.25, 0.75)  #---- The Pythagorean means are special cases of the Lehmer mean ----  all.equal(lehmer_mean(1)(x, w), arithmetic_mean(x, w)) #> [1] TRUE all.equal(lehmer_mean(0)(x, w), harmonic_mean(x, w)) #> [1] TRUE all.equal(lehmer_mean(0.5)(x), geometric_mean(x)) #> [1] TRUE  #---- Comparing Lehmer means and generalized means ----  # When r < 1, the generalized mean is larger than the corresponding # Lehmer mean  lehmer_mean(-1)(x, w) < generalized_mean(-1)(x, w) #> [1] TRUE  # The reverse is true when r > 1  lehmer_mean(3)(x, w) > generalized_mean(3)(x, w) #> [1] TRUE  # This implies the contraharmonic mean is larger than the quadratic # mean, and therefore the Pythagorean means  contraharmonic_mean(x, w) > arithmetic_mean(x, w) #> [1] TRUE contraharmonic_mean(x, w) > geometric_mean(x, w) #> [1] TRUE contraharmonic_mean(x, w) > harmonic_mean(x, w) #> [1] TRUE  # ... and the logarithmic mean  contraharmonic_mean(2:3) > logmean(2, 3) #> [1] TRUE  # The difference between the arithmetic mean and contraharmonic mean # is proportional to the variance of x  weighted_var <- function(x, w) {   arithmetic_mean((x - arithmetic_mean(x, w))^2, w) }  arithmetic_mean(x, w) + weighted_var(x, w) / arithmetic_mean(x, w) #> [1] 2.818182 contraharmonic_mean(x, w) #> [1] 2.818182  #---- Changing the order of the mean ----  # It is easy to modify the weights to turn a Lehmer mean of order r # into a Lehmer mean of order s because the Lehmer mean can be # expressed as an arithmetic mean  r <- 2 s <- -3 lehmer_mean(r)(x, w) #> [1] 2.818182 lehmer_mean(s)(x, w * x^(r - 1) / x^(s - 1)) #> [1] 2.818182  # The weights can also be modified to turn a Lehmer mean of order r # into a generalized mean of order s  lehmer_mean(r)(x, w) #> [1] 2.818182 generalized_mean(s)(x, transmute_weights(1, s)(x, w * x^(r - 1))) #> [1] 2.818182  # ... and vice versa  lehmer_mean(r)(x, transmute_weights(s, 1)(x, w) / x^(r - 1)) #> [1] 2.568312 generalized_mean(s)(x, w) #> [1] 2.568312  #---- Percent-change contributions ----  # Percent-change contributions for a price index based on the Lehmer # mean are easy to calculate  scale_weights(w * x^(r - 1)) * (x - 1) #> [1] 0.1818182 1.6363636"},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":null,"dir":"Reference","previous_headings":"","what":"Nested generalized mean — nested_mean","title":"Nested generalized mean — nested_mean","text":"Calculate (outer) generalized mean two (inner) generalized means (.e., crossing generalized means).","code":""},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Nested generalized mean — nested_mean","text":"","code":"nested_mean(r1, r2, t = c(1, 1))  fisher_mean(x, w1 = NULL, w2 = NULL, na.rm = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Nested generalized mean — nested_mean","text":"r1 finite number giving order outer generalized mean. r2 pair finite numbers giving order inner generalized means. t pair strictly positive weights inner generalized means. default equal weights. x strictly positive numeric vector. w1, w2 strictly positive numeric vector weights, length x. default equally weight element x. na.rm missing values x, w1, w2 removed? default missing values x, w1, w2 return missing value.","code":""},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Nested generalized mean — nested_mean","text":"nested_mean() returns function: computes generalized mean order r1 generalized mean order r2[1] x weights w1 generalized mean order r2[2] x weights w2. fisher_mean() returns numeric value geometric mean arithmetic harmonic means (.e., r1 = 0 r2 = c(1, -1)).","code":"function(x, w1 = NULL, w2 = NULL, na.rm = FALSE){...}"},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Nested generalized mean — nested_mean","text":"ambiguity remove missing values w1 w2 na.rm = TRUE. approach remove missing values calculating inner means individually, rather removing missing values prior calculations. means different number data points used calculate inner means. Use balanced() operator balance missing values across w1 w2 prior calculations.","code":""},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Nested generalized mean — nested_mean","text":"Diewert, W. E. (1976). Exact superlative index numbers. Journal Econometrics, 4(2): 114--145. ILO, IMF, OECD, Eurostat, UN, World Bank. (2004). Producer Price Index Manual: Theory Practice. International Monetary Fund. Lent, J. Dorfman, . H. (2009). Using weighted average base period price indexes approximate superlative index. Journal Official Statistics, 25(1):139--149.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Nested generalized mean — nested_mean","text":"","code":"x <- 1:3 w1 <- 4:6 w2 <- 7:9  #---- Making superlative indexes ----  # A function to make the superlative quadratic mean price index by # Diewert (1976) as a product of generalized means  quadratic_mean_index <- function(r) nested_mean(0, c(r / 2, -r / 2))  quadratic_mean_index(2)(x, w1, w2) #> [1] 1.912366  # The arithmetic AG mean index by Lent and Dorfman (2009)  agmean_index <- function(tau) nested_mean(1, c(0, 1), c(tau, 1 - tau))  agmean_index(0.25)(x, w1, w1) #> [1] 2.088801  #---- Walsh index ----  # The (arithmetic) Walsh index is the implicit price index when using a # superlative quadratic mean quantity index of order 1  p1 <- price6[[2]] p0 <- price6[[1]] q1 <- quantity6[[2]] q0 <- quantity6[[1]]  walsh <- quadratic_mean_index(1)  sum(p1 * q1) / sum(p0 * q0) / walsh(q1 / q0, p0 * q0, p1 * q1) #> [1] 1.401718  sum(p1 * sqrt(q1 * q0)) / sum(p0 * sqrt(q1 * q0)) #> [1] 1.401718  # Counter to the PPI manual (par. 1.105), it is not a superlative # quadratic mean price index of order 1  walsh(p1 / p0, p0 * q0, p1 * q1) #> [1] 1.401534  # That requires using the average value share as weights  walsh_weights <- sqrt(scale_weights(p0 * q0) * scale_weights(p1 * q1)) walsh(p1 / p0, walsh_weights, walsh_weights) #> [1] 1.401718  #---- Missing values ----  x[1] <- NA w1[2] <- NA  fisher_mean(x, w1, w2, na.rm = TRUE) #> [1] 2.699206  # Same as using obs 2 and 3 in an arithmetic mean, and obs 3 in a # harmonic mean  geometric_mean(c(   arithmetic_mean(x, w1, na.rm = TRUE),   harmonic_mean(x, w2, na.rm = TRUE) )) #> [1] 2.699206  # Use balanced() to use only obs 3 in both inner means  balanced(fisher_mean)(x, w1, w2, na.rm = TRUE) #> [1] 3"},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":null,"dir":"Reference","previous_headings":"","what":"Outlier detection for price relatives — outliers","title":"Outlier detection for price relatives — outliers","text":"Standard cutoff-based methods detecting outliers price relatives.","code":""},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Outlier detection for price relatives — outliers","text":"","code":"quartile_method(x, cu = 2.5, cl = cu, a = 0, type = 7)  resistant_fences(x, cu = 2.5, cl = cu, a = 0, type = 7)  robust_z(x, cu = 2.5, cl = cu)  fixed_cutoff(x, cu = 2.5, cl = 1/cu)  tukey_algorithm(x, cu = 2.5, cl = cu, type = 7)  hb_transform(x)"},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Outlier detection for price relatives — outliers","text":"x strictly positive numeric vector price relatives. can made , e.g., back_period(). cu, cl numeric vector, something can coerced one, giving upper lower cutoffs element x. Recycled length x. numeric vector, something can coerced one, 0 1 giving scale factor median establish minimum dispersion quartiles element x. default set minimum dispersion. Recycled length x. type See quantile().","code":""},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Outlier detection for price relatives — outliers","text":"logical vector, length x, TRUE corresponding element x identified outlier, FALSE otherwise.","code":""},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Outlier detection for price relatives — outliers","text":"functions constructs interval form \\([b_l(x) - c_l \\times l(x), b_u(x) + c_u \\times u(x)]\\) assigns value x TRUE value belong interval, FALSE otherwise. methods differ construct values \\(b_l(x)\\), \\(b_u(x)\\), \\(l(x)\\), \\(u(x)\\). missing values x ignored calculating cutoffs, return NA. fixed cutoff method simplest, just uses interval \\([c_l, c_u]\\). quartile method Tukey algorithm described paragraphs 5.113 5.135 CPI manual (2020), well Rais (2008) Hutton (2008). resistant fences method alternative quartile method, described Rais (2008) Hutton (2008). Quantile-based methods often identify price relatives outliers distribution concentrated around 1; setting > 0 puts floor minimum dispersion quantiles fraction median. See references details. robust Z-score usual method identify relatives (asymmetric) tails distribution, simply replacing mean median, standard deviation median absolute deviation. methods often assume price relatives symmetrically distributed (Gaussian). distribution price relatives often long right tail, natural logarithm can used transform price relative identifying outliers (sometimes assumption price relatives distributed log-normal). Hidiroglou-Berthelot transformation another approach, described CPI manual (par. 5.124). (Sometimes transformed price relatives multiplied \\(\\max(p_1, p_0)^u\\), \\(0 \\le u \\le 1\\), products larger price get flagged outliers (par. 5.128).)","code":""},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Outlier detection for price relatives — outliers","text":"Hutton, H. (2008). Dynamic outlier detection price index surveys. Proceedings Survey Methods Section: Statistical Society Canada Annual Meeting. ILO, IMF, OECD, Eurostat, UN, World Bank. (2020). Consumer Price Index Manual: Theory Practice. International Monetary Fund. Rais, S. (2008). Outlier detection Consumer Price Index. Proceedings Survey Methods Section: Statistical Society Canada Annual Meeting.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Outlier detection for price relatives — outliers","text":"","code":"set.seed(1234)  x <- rlnorm(10)  fixed_cutoff(x) #>  [1]  TRUE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE robust_z(x) #>  [1] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE quartile_method(x) #>  [1] FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE resistant_fences(x) # always identifies fewer outliers than above #>  [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE tukey_algorithm(x) #>  [1] FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE  log(x) #>  [1] -1.2070657  0.2774292  1.0844412 -2.3456977  0.4291247  0.5060559 #>  [7] -0.5747400 -0.5466319 -0.5644520 -0.8900378 hb_transform(x) #>  [1] -0.918538151  1.300051411  4.154877789 -4.990623335  1.676813038 #>  [6]  1.890871823 -0.019423964  0.008909836 -0.008989935 -0.397291327  # Works the same for grouped data  f <- c(\"a\", \"b\", \"a\", \"a\", \"b\", \"b\", \"b\", \"a\", \"a\", \"b\") grouped(quartile_method)(x, group = f) #>  [1] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE"},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":null,"dir":"Reference","previous_headings":"","what":"Sample price/quantity data — price_data","title":"Sample price/quantity data — price_data","text":"Prices quantities six products five periods.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":"format","dir":"Reference","previous_headings":"","what":"Format","title":"Sample price/quantity data — price_data","text":"data frame 6 rows 5 columns, row corresponding product column corresponding time period.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":"source","dir":"Reference","previous_headings":"","what":"Source","title":"Sample price/quantity data — price_data","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. ILO, IMF, OECD, Eurostat, UN, World Bank. (2004). Producer Price Index Manual: Theory Practice. International Monetary Fund.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Sample price/quantity data — price_data","text":"Adapted tables 3.1 3.2 Balk (2008), adapted tables 19.1 19.2 PPI manual.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Sample price/quantity data — price_data","text":"","code":"# Recreate tables 3.4, 3.6, and 3.12 from Balk (2008)  index_formulas <- function(p1, p0, q1, q0) {   c(     harmonic_laspeyres = harmonic_index(\"Laspeyres\")(p1, p0, q0),     geometric_laspeyres = geometric_index(\"Laspeyres\")(p1, p0, q0),     laspeyres = arithmetic_index(\"Laspeyres\")(p1, p0, q0),     paasche = harmonic_index(\"Paasche\")(p1, p0, q1),     geometric_paasche = geometric_index(\"Paasche\")(p1, p0, q1),     palgrave = arithmetic_index(\"Palgrave\")(p1, p0, q1),     fisher = fisher_index(p1, p0, q1, q0),     tornqvist = geometric_index(\"Tornqvist\")(p1, p0, q1, q0),     marshall_edgeworth = arithmetic_index(\"MarshallEdgeworth\")(p1, p0, q1, q0),     walsh1 = arithmetic_index(\"Walsh1\")(p1, p0, q1, q0),     vartia2 = geometric_index(\"Vartia2\")(p1, p0, q1, q0),     vartia1 = geometric_index(\"Vartia1\")(p1, p0, q1, q0),     stuvel = stuvel_index(2, 2)(p1, p0, q1, q0)   ) }  round(t(mapply(index_formulas, price6, price6[1], quantity6, quantity6[1])), 4) #>    harmonic_laspeyres geometric_laspeyres laspeyres paasche geometric_paasche #> t1             1.0000              1.0000     1.000  1.0000            1.0000 #> t2             1.2542              1.3300     1.420  1.3824            1.4846 #> t3             1.1346              1.2523     1.345  1.2031            1.3268 #> t4             0.8732              1.1331     1.355  1.0209            1.3282 #> t5             0.5556              1.0999     1.440  0.7968            1.4153 #>    palgrave fisher tornqvist marshall_edgeworth walsh1 vartia2 vartia1 stuvel #> t1   1.0000 1.0000    1.0000             1.0000 1.0000  1.0000  1.0000 1.0000 #> t2   1.6096 1.4011    1.4052             1.4010 1.4017  1.4018  1.4024 1.4042 #> t3   1.4161 1.2721    1.2890             1.2656 1.2850  1.2897  1.2907 1.2742 #> t4   1.5317 1.1762    1.2268             1.1438 1.2193  1.2335  1.2392 1.1551 #> t5   1.6720 1.0712    1.2477             0.9801 1.1850  1.2540  1.2678 0.9770"},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":null,"dir":"Reference","previous_headings":"","what":"Price indexes — price_indexes","title":"Price indexes — price_indexes","text":"Calculate variety price indexes using information prices quantities two points time.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Price indexes — price_indexes","text":"","code":"arithmetic_index(type)  geometric_index(type)  harmonic_index(type)  laspeyres_index(p1, p0, q0, na.rm = FALSE)  paasche_index(p1, p0, q1, na.rm = FALSE)  jevons_index(p1, p0, na.rm = FALSE)  lowe_index(p1, p0, qb, na.rm = FALSE)  young_index(p1, p0, pb, qb, na.rm = FALSE)  fisher_index(p1, p0, q1, q0, na.rm = FALSE)  hlp_index(p1, p0, q1, q0, na.rm = FALSE)  lm_index(elasticity)  cswd_index(p1, p0, na.rm = FALSE)  cswdb_index(p1, p0, q1, q0, na.rm = FALSE)  bw_index(p1, p0, na.rm = FALSE)  stuvel_index(a, b)  arithmetic_agmean_index(elasticity)  geometric_agmean_index(elasticity)  lehr_index(p1, p0, q1, q0, na.rm = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Price indexes — price_indexes","text":"type name index. See details possible types indexes. p1 Current-period prices. p0 Base-period prices. q0 Base-period quantities. na.rm missing values removed? default missing values prices quantities return missing value. q1 Current-period quantities. qb Period-b quantities Lowe/Young index. pb Period-b prices Lowe/Young index. elasticity elasticity substitution Lloyd-Moulton AG mean indexes. , b Parameters generalized Stuvel index.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Price indexes — price_indexes","text":"arithmetic_index(), geometric_index(), harmonic_index(), stuvel_index() return function compute relevant price indexes; lm_index(), arithmetic_agmean_index(), geometric_agmean_index() return function calculate relevant index given elasticity substitution. others return numeric value giving change price base period current period.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Price indexes — price_indexes","text":"arithmetic_index(), geometric_index(), harmonic_index() functions return function calculate given type arithmetic, geometric (logarithmic), harmonic index. Together, functions produce functions calculate following indexes. Arithmetic indexes Carli Dutot Laspeyres Palgrave Unnamed index (arithmetic mean Laspeyres Palgrave) Drobisch (arithmetic mean Laspeyres Paasche) Walsh-(arithmetic Walsh) Marshall-Edgeworth Geary-Khamis Lowe Young Geometric indexes Jevons Geometric Laspeyres Geometric Paasche Geometric Young Törnqvist (Törnqvist-Theil) Montgomery-Vartia / Vartia-Sato-Vartia / Vartia-II Walsh-II (geometric Walsh) Theil Rao Harmonic indexes Coggeshall (equally weighted harmonic index) Paasche Harmonic Laspeyres Harmonic Young Along lm_index() function calculate Lloyd-Moulton index, just convenient wrappers generalized_mean() index_weights(). Laspeyres, Paasche, Jevons, Lowe, Young indexes among common price indexes, get functions. laspeyres_index(), lowe_index(), young_index() functions correspond setting appropriate type arithmetic_index(); paasche_index() jevons_index() instead come harmonic_index() geometric_index() functions. addition indexes, also functions calculating variety indexes based generalized means. Fisher index geometric mean arithmetic Laspeyres Paasche indexes; Harmonic Laspeyres Paasche index harmonic analog Fisher index (8054 Fisher's list). Carruthers-Sellwood-Ward-Dalen Carruthers-Sellwood-Ward-Dalen-Balk indexes sample analogs Fisher index; Balk-Walsh index sample analog Walsh index. AG mean index arithmetic geometric mean geometric arithmetic Laspeyres indexes, weighted elasticity substitution. stuvel_index() function returns function calculate Stuvel index given parameters. Lehr index alternative Geary-Khamis index, implicit price index Fisher's index 4153.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Price indexes — price_indexes","text":"different ways deal missing values price index, care taken relying functions remove missing values. Setting na.rm = TRUE removes price relatives missing information, either missing price missing weight, using available non-missing information make weights. Certain properties index-number formula may work expected removing missing values ambiguity remove missing values weights (, e.g., Törnqvist Sato-Vartia index). balanced() operator may helpful, balances removal missing values across prices quantities prior making weights.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Price indexes — price_indexes","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Fisher, . (1922). Making Index Numbers. Houghton Mifflin Company. ILO, IMF, OECD, Eurostat, UN, World Bank. (2020). Consumer Price Index Manual: Theory Practice. International Monetary Fund. von der Lippe, P. (2001). Chain Indices: Study Price Index Theory, Spectrum Federal Statistics vol. 16. Federal Statistical Office, Wiesbaden. von der Lippe, P. (2015). Generalized Statistical Means New Price Index Formulas, Notes unexplored index formulas, interpretations generalizations. Munich Personal RePEc Archive paper . 64952. Selvanathan, E. . Rao, D. S. P. (1994). Index Numbers: Stochastic Approach. MacMillan.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Price indexes — price_indexes","text":"","code":"p0 <- price6[[2]] p1 <- price6[[3]] q0 <- quantity6[[2]] q1 <- quantity6[[3]] pb <- price6[[1]] qb <- quantity6[[1]]  #---- Calculating price indexes ----  # Most indexes can be calculated by combining the appropriate weights # with the correct type of mean  geometric_index(\"Laspeyres\")(p1, p0, q0) #> [1] 0.8705581 geometric_mean(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 0.8705581  # Arithmetic Laspeyres index  laspeyres_index(p1, p0, q0) #> [1] 0.9609929 arithmetic_mean(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 0.9609929  # Harmonic calculation for the arithmetic Laspeyres  harmonic_mean(p1 / p0, index_weights(\"HybridLaspeyres\")(p1, q0)) #> [1] 0.9609929  # Same as transmuting the weights  all.equal(   scale_weights(index_weights(\"HybridLaspeyres\")(p1, q0)),   scale_weights(     transmute_weights(1, -1)(p1 / p0, index_weights(\"Laspeyres\")(p0, q0))   ) ) #> [1] TRUE  # This strategy can be used to make more exotic indexes, like the # quadratic-mean index (von der Lippe, 2001, p. 71)  generalized_mean(2)(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 1.020762  # Or the exponential mean index (p. 64)  log(arithmetic_mean(exp(p1 / p0), index_weights(\"Laspeyres\")(p0, q0))) #> [1] 1.013369  # Or the arithmetic hybrid index (von der Lippe, 2015, p. 5)  arithmetic_mean(p1 / p0, index_weights(\"HybridLaspeyres\")(p1, q0)) #> [1] 1.084248 contraharmonic_mean(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 1.084248  # Unlike its arithmetic counterpart, the geometric Laspeyres can # increase when base-period prices increase if some of these prices # are small  gl <- geometric_index(\"Laspeyres\") p0_small <- replace(p0, 1, p0[1] / 5) p0_dx <- replace(p0_small, 1, p0_small[1] + 0.01) gl(p1, p0_small, q0) < gl(p1, p0_dx, q0) #> [1] TRUE  #---- Price updating the weights in a price index ----  # Chain an index by price updating the weights  p2 <- price6[[4]] laspeyres_index(p2, p0, q0) #> [1] 0.970922  I1 <- laspeyres_index(p1, p0, q0) w_pu <- update_weights(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) I2 <- arithmetic_mean(p2 / p1, w_pu) I1 * I2 #> [1] 0.970922  # Works for other types of indexes, too  harmonic_index(\"Laspeyres\")(p2, p0, q0) #> [1] 0.5112654  I1 <- harmonic_index(\"Laspeyres\")(p1, p0, q0) w_pu <- factor_weights(-1)(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) I2 <- harmonic_mean(p2 / p1, w_pu) I1 * I2 #> [1] 0.5112654  #---- Percent-change contributions ----  # Percent-change contributions for the Tornqvist index  w <- index_weights(\"Tornqvist\")(p1, p0, q1, q0) (con <- geometric_contributions(p1 / p0, w)) #> [1] -0.01158644 -0.13847426  0.02391956 -0.02607786  0.09431814 -0.00896725  all.equal(sum(con), geometric_index(\"Tornqvist\")(p1, p0, q1, q0) - 1) #> [1] TRUE  #---- Missing values ----  # NAs get special treatment  p_na <- replace(p0, 6, NA)  # Drops the last price relative  laspeyres_index(p1, p_na, q0, na.rm = TRUE) #> [1] 0.9684288  # Only drops the last period-0 price  sum(p1 * q0, na.rm = TRUE) / sum(p_na * q0, na.rm = TRUE) #> [1] 0.9948605  #---- von Bortkiewicz decomposition ----  paasche_index(p1, p0, q1) / laspeyres_index(p1, p0, q0) - 1 #> [1] -0.04099992  wl <- scale_weights(index_weights(\"Laspeyres\")(p0, q0)) pl <- laspeyres_index(p1, p0, q0) ql <- quantity_index(laspeyres_index)(q1, q0, p0)  sum(wl * (p1 / p0 / pl - 1) * (q1 / q0 / ql - 1)) #> [1] -0.04099992  # Similar decomposition for geometric Laspeyres/Paasche  wp <- scale_weights(index_weights(\"Paasche\")(p1, q1)) gl <- geometric_index(\"Laspeyres\")(p1, p0, q0) gp <- geometric_index(\"Paasche\")(p1, p0, q1)  log(gp / gl) #> [1] 0.1388242  sum(scale_weights(wl) * (wp / wl - 1) * log(p1 / p0 / gl)) #> [1] 0.1388242  #---- Consistency in aggregation ----  p0a <- p0[1:3] p0b <- p0[4:6] p1a <- p1[1:3] p1b <- p1[4:6] q0a <- q0[1:3] q0b <- q0[4:6] q1a <- q1[1:3] q1b <- q1[4:6]  # Indexes based on the generalized mean with value share weights are # consistent in aggregation  lm_index(0.75)(p1, p0, q0) #> [1] 0.8962918  w <- index_weights(\"LloydMoulton\")(p0, q0) Ia <- generalized_mean(0.25)(p1a / p0a, w[1:3]) Ib <- generalized_mean(0.25)(p1b / p0b, w[4:6]) generalized_mean(0.25)(c(Ia, Ib), c(sum(w[1:3]), sum(w[4:6]))) #> [1] 0.8962918  # Agrees with group-wise indexes  all.equal(lm_index(0.75)(p1a, p0a, q0a), Ia) #> [1] TRUE all.equal(lm_index(0.75)(p1b, p0b, q0b), Ib) #> [1] TRUE  # Care is needed with more complex weights, e.g., Drobisch, as this # doesn't fit Balk's (2008) definition (p. 113) of a generalized-mean # index (it's the arithmetic mean of a Laspeyres and Paasche index)  arithmetic_index(\"Drobisch\")(p1, p0, q1, q0) #> [1] 0.9412926  w <- index_weights(\"Drobisch\")(p1, p0, q1, q0) Ia <- arithmetic_mean(p1a / p0a, w[1:3]) Ib <- arithmetic_mean(p1b / p0b, w[4:6]) arithmetic_mean(c(Ia, Ib), c(sum(w[1:3]), sum(w[4:6]))) #> [1] 0.9412926  # Does not agree with group-wise indexes  all.equal(arithmetic_index(\"Drobisch\")(p1a, p0a, q1a, q0a), Ia) #> [1] \"Mean relative difference: 0.000735017\" all.equal(arithmetic_index(\"Drobisch\")(p1b, p0b, q1b, q0b), Ib) #> [1] \"Mean relative difference: 0.0004652739\""},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":null,"dir":"Reference","previous_headings":"","what":"Quantity index operator — quantity_index","title":"Quantity index operator — quantity_index","text":"Remaps price arguments quantity argument (vice versa) turn price index quantity index.","code":""},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Quantity index operator — quantity_index","text":"","code":"quantity_index(f)"},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Quantity index operator — quantity_index","text":"f price-index function.","code":""},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Quantity index operator — quantity_index","text":"function like f, except role prices/quantities reversed.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Quantity index operator — quantity_index","text":"","code":"p1 <- price6[[3]] p0 <- price6[[2]] q1 <- quantity6[[3]] q0 <- quantity6[[2]]  # Remap argument names to be quantities rather than prices  quantity_index(laspeyres_index)(q1 = q1, q0 = q0, p0 = p0) #> [1] 1.175887  laspeyres_index(p1 = q1, p0 = q0, q0 = p0) #> [1] 1.175887  # Works with the index_weights() functions, too  quantity_index(index_weights(\"Laspeyres\"))(q0 = q0, p0 = p0) #> [1] 0.96 2.70 2.47 0.91 6.58 0.48"},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":null,"dir":"Reference","previous_headings":"","what":"Scale weights — scale_weights","title":"Scale weights — scale_weights","text":"Scale vector weights sum 1.","code":""},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Scale weights — scale_weights","text":"","code":"scale_weights(x)"},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Scale weights — scale_weights","text":"x strictly positive numeric vector.","code":""},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Scale weights — scale_weights","text":"numeric vector sums 1. NAs x result sums 1 values removed.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Scale weights — scale_weights","text":"","code":"scale_weights(1:5) #> [1] 0.06666667 0.13333333 0.20000000 0.26666667 0.33333333"},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":null,"dir":"Reference","previous_headings":"","what":"Splice an index series — splice_index","title":"Splice an index series — splice_index","text":"Splice collection index series computed rolling window one index series. Splicing multiple points combines results geometric mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Splice an index series — splice_index","text":"","code":"splice_index(x, periods = NULL, initial = NULL, published = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Splice an index series — splice_index","text":"x list equal-length numeric vectors giving period--period indexes window. periods integer vector giving splice points window. default splices point window. initial numeric vector giving initial period--period index series onto elements x spliced. default uses first element x. published splice done published series? default splices using recalculated index series.","code":""},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Splice an index series — splice_index","text":"numeric vector giving spliced (fixed-base) index series.","code":""},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Splice an index series — splice_index","text":"Chessa, . G. (2019). Comparison Index Extension Methods Multilateral Methods. Paper presented 16th Meeting Ottawa Group Price Indices, 8-10 May 2019, Rio de Janeiro, Brazil. Krsinich, F. (2016). FEWS index: Fixed effects window splice. Journal Official Statistics, 32(2), 375-404.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Splice an index series — splice_index","text":"","code":"# Make an index series over a rolling window x <- list(c(1.1, 0.9, 1.2), c(0.8, 1.3, 1.4), c(1.3, 1.3, 0.8))  # Mean splice  splice_index(x) #> [1] 1.100000 0.990000 1.188000 1.686819 1.284405  # Movement splice  splice_index(x, 3) #> [1] 1.10000 0.99000 1.18800 1.66320 1.33056  # Window splice  splice_index(x, 1) #> [1] 1.10000 0.99000 1.18800 1.60160 1.18976  # Splicing on the published series preserves the within-window # movement of the index series  splice_index(x, 1, published = TRUE) #> [1] 1.10000 0.99000 1.18800 1.60160 1.33848"},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":null,"dir":"Reference","previous_headings":"","what":"Transmute weights — transmute_weights","title":"Transmute weights — transmute_weights","text":"Transmute weights turn generalized mean order \\(r\\) generalized mean order \\(s\\). Useful calculating additive multiplicative decompositions generalized-mean index, made nested generalized means (e.g., Fisher index).","code":""},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Transmute weights — transmute_weights","text":"","code":"transmute_weights(r, s)  nested_transmute(r1, r2, s, t = c(1, 1))  nested_transmute2(r1, r2, s, t = c(1, 1))"},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Transmute weights — transmute_weights","text":"r, s finite number giving order generalized mean. See details. r1 finite number giving order outer generalized mean. r2 pair finite numbers giving order inner generalized means. t pair strictly positive weights inner generalized means. default equal weights.","code":""},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Transmute weights — transmute_weights","text":"transmute_weights() returns function: nested_transmute() nested_transmute2() similarly return function:","code":"function(x, w = NULL){...} function(x, w1 = NULL, w2 = NULL){...}"},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Transmute weights — transmute_weights","text":"function transmute_weights(r, s) returns function compute vector weights v(x, w) nested_transmute(r1, r2, t, s) nested_transmute2(r1, r2, t, s) nested generalized means, generalizes result turning geometric mean arithmetic mean (vice versa) section 4.2 Balk (2008), Fisher mean arithmetic mean section 6 Reinsdorf et al. (2002), although usually important cases. See Martin (2021) details. nested_transmute2() takes slightly different approach nested_transmute(), generalizing van IJzeren arithmetic decomposition Fisher index (Balk, 2008, section 4.2.2) using approach Martin (2021), although cases results broadly similar. Transmuting weights returns value length x, missing values x weights return NA. Unless values NA, however, result still satisfy identities na.rm = TRUE.","code":"generalized_mean(r)(x, w) == generalized_mean(s)(x, v(x, w)) nested_mean(r1, r2, t)(x, w1, w2) ==   generalized_mean(s)(x, v(x, w1, w2))"},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Transmute weights — transmute_weights","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Martin, S. (2021). note general decompositions price indexes. Prices Analytical Series, Statistics Canada catalogue . 62F0014M. Statistics Canada, Ottawa. Reinsdorf, M. B., Diewert, W. E., Ehemann, C. (2002). Additive decompositions Fisher, Törnqvist geometric mean indexes. Journal Economic Social Measurement, 28(1-2):51--61. Sydsaeter, K., Strom, ., Berck, P. (2005). Economists' Mathematical Manual (4th edition). Springer.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Transmute weights — transmute_weights","text":"","code":"x <- 1:3 y <- 4:6 w <- 3:1  #---- Transforming generalized means ----  # Calculate the geometric mean as an arithmetic mean and # harmonic mean by transmuting the weights  geometric_mean(x) #> [1] 1.817121 arithmetic_mean(x, transmute_weights(0, 1)(x)) #> [1] 1.817121 harmonic_mean(x, transmute_weights(0, -1)(x)) #> [1] 1.817121  # Transmuting the weights for a harmonic mean into those # for an arithmetic mean is the same as using weights w / x  all.equal(transmute_weights(-1, 1)(x, w), scale_weights(w / x)) #> [1] TRUE  # Transmuting the weights for an arithmetic mean into those # for a harmonic mean is the same as using weights w * x  all.equal(transmute_weights(1, -1)(x, w), scale_weights(w * x)) #> [1] TRUE  # Works for nested means, too  w1 <- 3:1 w2 <- 1:3  fisher_mean(x, w1, w2) #> [1] 1.825742  arithmetic_mean(x, nested_transmute(0, c(1, -1), 1)(x, w1, w2)) #> [1] 1.825742 arithmetic_mean(x, nested_transmute2(0, c(1, -1), 1)(x, w1, w2)) #> [1] 1.825742  # Note that nested_transmute() has an invariance property # not shared by nested_transmute2()  all.equal(   nested_transmute(0, c(1, -1), 1)(x, w1, w2),   transmute_weights(2, 1)(     x, nested_transmute(0, c(1, -1), 2)(x, w1, w2)   ) ) #> [1] TRUE  all.equal(   nested_transmute2(0, c(1, -1), 1)(x, w1, w2),   transmute_weights(2, 1)(     x, nested_transmute2(0, c(1, -1), 2)(x, w1, w2)   ) ) #> [1] \"Mean relative difference: 17.81836\"  #---- Monotonicity ----  # Transmuted weights increase when x is small and decrease # when x is large if r < s  transmute_weights(0, 1)(x, w) > scale_weights(w) #> [1]  TRUE FALSE FALSE  # The opposite happens when r > s  transmute_weights(1, 0)(x, w) > scale_weights(w) #> [1] FALSE  TRUE  TRUE  #---- Percent-change contributions ----  # Transmuted weights can be used to calculate percent-change # contributions for, e.g., a geometric price index  transmute_weights(0, 1)(x) * (x - 1) #> [1] 0.0000000 0.3122793 0.5048413 geometric_contributions(x) # the more convenient way #> [1] 0.0000000 0.3122793 0.5048413  #---- Basket representation of a price index ----  # Any generalized-mean index can be represented as a basket-style # index by transmuting the weights, which is how some authors # define a price index (e.g., Sydsaeter et al., 2005, p. 174)  p1 <- 2:6 p0 <- 1:5  qs <- transmute_weights(-1, 1)(p1 / p0) / p0 all.equal(harmonic_mean(p1 / p0), sum(p1 * qs) / sum(p0 * qs)) #> [1] TRUE"},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-061","dir":"Changelog","previous_headings":"","what":"Version 0.6.1","title":"Version 0.6.1","text":"CRAN release: 2024-04-12 Updated maintainer email. Added parameter generalize geks() controlling indexes averaged rolling window. Fixed bug transmute_weights() factor_weights() return result different length w. Added new function splice_index() splicing indexes calculated rolling window (previously sketched example). transmute_weights() now faster.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-060","dir":"Changelog","previous_headings":"","what":"Version 0.6.0","title":"Version 0.6.0","text":"CRAN release: 2023-11-15 Bumped minimum version R least 4.0. use ... grouped() balanced() deprecated, removed future version. behavior can using anonymous function. Added walsh_geks() function. back_period() base_period() gain new argument match_first control whether products first period match return NA. Updated documentation. Added brief vignette.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-050","dir":"Changelog","previous_headings":"","what":"Version 0.5.0","title":"Version 0.5.0","text":"CRAN release: 2023-08-08 back_price() base_price() removed. Functions transforming weights keep attributes weights (), documented. grouped() longer mangles names.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-043","dir":"Changelog","previous_headings":"","what":"Version 0.4.3","title":"Version 0.4.3","text":"CRAN release: 2022-05-01 back_price() base_price() deprecated favor general back_period() base_period() functions. removed future version. algorithm making GEKS indexes now much faster rolling window.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-042","dir":"Changelog","previous_headings":"","what":"Version 0.4.2","title":"Version 0.4.2","text":"CRAN release: 2022-01-26 functions overall structure package fairly stable now . Added nested_transmute() nested_transmute2() transmuting weights nested generalized means. consistent argument names, first two arguments nested_mean() nested_contributions*() now r1 r2. Added geometric Theil Rao indexes.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-039","dir":"Changelog","previous_headings":"","what":"Version 0.3.9","title":"Version 0.3.9","text":"CRAN release: 2021-11-26 Added back_period() base_period(), general back_price() base_price(). Added lehr_index(). Fixed rare warning sqrt() making NaNs generalized_logmean(-1) inputs close equal, despite NaNs showing result. lm_index() *_agmean_index() functions now function factories.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-036","dir":"Changelog","previous_headings":"","what":"Version 0.3.6","title":"Version 0.3.6","text":"CRAN release: 2021-10-02 Added balanced() operator make easier remove NAs price index functions. Added geks() function using price-index function (e.g., fisher_index()) makes GEKS index.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-034","dir":"Changelog","previous_headings":"","what":"Version 0.3.4","title":"Version 0.3.4","text":"CRAN release: 2021-08-04 Added French translations. Made number optimizations make results generalized_mean(), extended_mean(), lehmer_mean(), transmute_weights(), factor_weights() faster common cases. Added grouped() operator make functions work grouped data.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-031","dir":"Changelog","previous_headings":"","what":"Version 0.3.1","title":"Version 0.3.1","text":"CRAN release: 2021-07-07 function names changed less awkward; e.g., mean_generalized() now generalized_mean(), contributions_geometric() now geometric_contributions(). unfortunately backwards compatible, needed done. Added nested_mean() function calculate nested generalized means , e.g., Fisher index. interface nested_contributions() now much simpler, function focused making contributions Fisher indexes. Added nested_contributions2() function implements different algorithm. Added arithmetic_agmean_index() geometric_agmean_index() functions calculate AG mean index. Added functions standard outlier-detection methods price relatives. Dropped scale argument generalized_mean(), really wasn’t needed potential make problems solved.","code":""}]
+[{"path":"https://marberts.github.io/gpindex/LICENSE.html","id":"mit-license","dir":"","previous_headings":"","what":"MIT License","title":"NA","text":"Copyright (c) 2020 Steve Martin Permission hereby granted, free charge, person obtaining copy software associated documentation files (“Software”), deal Software without restriction, including without limitation rights use, copy, modify, merge, publish, distribute, sublicense, /sell copies Software, permit persons Software furnished , subject following conditions: copyright notice permission notice shall included copies substantial portions Software. SOFTWARE PROVIDED “”, WITHOUT WARRANTY KIND, EXPRESS IMPLIED, INCLUDING LIMITED WARRANTIES MERCHANTABILITY, FITNESS PARTICULAR PURPOSE NONINFRINGEMENT. EVENT SHALL AUTHORS COPYRIGHT HOLDERS LIABLE CLAIM, DAMAGES LIABILITY, WHETHER ACTION CONTRACT, TORT OTHERWISE, ARISING , CONNECTION SOFTWARE USE DEALINGS SOFTWARE.","code":""},{"path":"https://marberts.github.io/gpindex/articles/gpindex.html","id":"making-generalized-mean-indexes","dir":"Articles","previous_headings":"","what":"Making generalized-mean indexes","title":"Generalized Price and Quantity Indexes","text":"generalized-mean price index weighted generalized mean price relatives. Given set price relatives weights, generalized-mean price index easily calculated generalized_mean() function. distinguishes different generalized-mean price indexes weights order generalized mean. example, standard Laspeyres index uses base-period value-share weights generalized mean order 1 (arithmetic mean). Changing order generalized mean 1−σ1 - \\sigma, σ\\sigma elasticity substitution, gives Lloyd-Moulton index, whereas changing weights current-period value-shares gives Palgrave index. essence atomistic approach chapter 2 Selvanathan Rao (1994). Generalized-mean indexes can also nested together get indexes like Fisher, Drobisch, AG mean index. nested_mean() function simple wrapper generalized_mean() cases. top basic mathematical tools functions making standard price indexes prices quantities known. Weights large variety indexes can calculated index_weights(), can plugged relevant generalized mean calculate common price indexes, many uncommon ones. price_index functions provide simple wrapper, quantity_index() function turning analogous quantity index.","code":"library(gpindex)  # Start with some data on prices and quantities for 6 products # over 5 periods price6 #>   t1  t2  t3  t4  t5 #> 1  1 1.2 1.0 0.8 1.0 #> 2  1 3.0 1.0 0.5 1.0 #> 3  1 1.3 1.5 1.6 1.6 #> 4  1 0.7 0.5 0.3 0.1 #> 5  1 1.4 1.7 1.9 2.0 #> 6  1 0.8 0.6 0.4 0.2 quantity6 #>    t1  t2  t3  t4   t5 #> 1 1.0 0.8 1.0 1.2  0.9 #> 2 1.0 0.9 1.1 1.2  1.2 #> 3 2.0 1.9 1.8 1.9  2.0 #> 4 1.0 1.3 3.0 6.0 12.0 #> 5 4.5 4.7 5.0 5.6  6.5 #> 6 0.5 0.6 0.8 1.3  2.5  # We'll only need prices and quantities for a few periods p0 <- price6[[1]] p1 <- price6[[2]] p2 <- price6[[3]] q0 <- price6[[1]] q1 <- price6[[2]]  s0 <- p0 * q0 s1 <- p1 * q1  # Laspeyres index arithmetic_mean(p1 / p0, s0) #> [1] 1.4 # Lloyd-Moulton index (elasticity of substitution -1) quadratic_mean <- generalized_mean(2) quadratic_mean(p1 / p0, s0) #> [1] 1.592692  # Palgrave index arithmetic_mean(p1 / p0, s1) #> [1] 2.268331 # Fisher index fisher_mean(p1 / p0, s0, s1) #> [1] 1.592692  # Drobisch index drobisch_mean <- nested_mean(1, c(1, 1)) drobisch_mean(p1 / p0, s0, s1) #> [1] 1.834166  # Geometric AG mean index (elasticity of substitution 0.25) ag_mean <- nested_mean(0, c(0, 1), c(0.25, 0.75)) ag_mean(p1 / p0, s0, s0) #> [1] 1.358687 # Laspeyres index, again arithmetic_mean(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 1.4  laspeyres_index(p1, p0, q0) #> [1] 1.4"},{"path":"https://marberts.github.io/gpindex/articles/gpindex.html","id":"decomposing-indexes","dir":"Articles","previous_headings":"","what":"Decomposing indexes","title":"Generalized Price and Quantity Indexes","text":"Two important functions decomposing generalized means given transmute_weights() factor_weights(). functions augment weights generalized mean, can used calculate percent-change contributions (, e.g., contributions()) price-update weights generalized-mean indexes. Percent-change contributions can similarly calculated indexes nest generalized means.","code":"quadratic_decomposition <- transmute_weights(2, 1)  arithmetic_mean(p1 / p0, quadratic_decomposition(p1 / p0, s0)) #> [1] 1.592692 quadratic_mean(p1 / p0, s0) #> [1] 1.592692  quadratic_contributions <- contributions(2) quadratic_contributions(p1 / p0, s0) #> [1]  0.03110568  0.51154526  0.04832926 -0.03830484  0.06666667 -0.02665039  quadratic_update <- factor_weights(2)  quadratic_mean(p2 / p0, s0) #> [1] 1.136515 quadratic_mean(p2 / p1, quadratic_update(p1 / p0, s0)) *   quadratic_mean(p1 / p0, s0) #> [1] 1.136515 ag_decomposition <- nested_transmute(0, c(0, 1), 1, c(0.25, 0.75))  ag_mean(p1 / p0, s0, s0) #> [1] 1.358687 arithmetic_mean(p1/ p0, ag_decomposition(p1 / p0, s0, s0)) #> [1] 1.358687  ag_contributions <- nested_contributions(0, c(0, 1), c(0.25, 0.75)) ag_contributions(p1 / p0, s0, s0) #> [1]  0.03333243  0.29947183  0.04948725 -0.05377928  0.06536724 -0.03519241"},{"path":"https://marberts.github.io/gpindex/articles/gpindex.html","id":"references","dir":"Articles","previous_headings":"","what":"References","title":"Generalized Price and Quantity Indexes","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Selvanathan, E. . Rao, D. S. P. (1994). Index Numbers: Stochastic Approach. MacMillan.","code":""},{"path":"https://marberts.github.io/gpindex/authors.html","id":null,"dir":"","previous_headings":"","what":"Authors","title":"Authors and Citation","text":"Steve Martin. Author, maintainer, copyright holder.","code":""},{"path":"https://marberts.github.io/gpindex/authors.html","id":"citation","dir":"","previous_headings":"","what":"Citation","title":"Authors and Citation","text":"Martin S (2024). gpindex: Generalized Price Quantity Indexes. doi:10.5281/zenodo.10097742, R package version 0.6.1.9001, https://cran.r-project.org/package=gpindex.","code":"@Manual{,   title = {{gpindex}: Generalized Price and Quantity Indexes},   author = {Steve Martin},   year = {2024},   doi = {10.5281/zenodo.10097742},   url = {https://cran.r-project.org/package=gpindex},   note = {R package version 0.6.1.9001}, }"},{"path":"https://marberts.github.io/gpindex/index.html","id":"generalized-price-and-quantity-indexes-","dir":"","previous_headings":"","what":"Generalized Price and Quantity Indexes","title":"Generalized Price and Quantity Indexes","text":"Tools build work bilateral generalized-mean price indexes (extension quantity indexes), indexes composed generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers core mathematical machinery making bilateral price indexes, computing price relatives, detecting outliers, decomposing indexes, wrappers common (many uncommon) index-number formulas. Implements extends many methods Balk (2008), von der Lippe (2007), CPI manual (2020).","code":""},{"path":"https://marberts.github.io/gpindex/index.html","id":"installation","dir":"","previous_headings":"","what":"Installation","title":"Generalized Price and Quantity Indexes","text":"Get stable release CRAN. development version can installed R-Universe directly GitHub.","code":"install.packages(\"gpindex\") install.packages(\"gpindex\", repos = c(\"https://marberts.r-universe.dev\", \"https://cloud.r-project.org\")) pak::pak(\"marberts/gpindex\")"},{"path":"https://marberts.github.io/gpindex/index.html","id":"usage","dir":"","previous_headings":"","what":"Usage","title":"Generalized Price and Quantity Indexes","text":"","code":"library(gpindex)  # Start with some data on prices and quantities for 6 products # over 5 periods price6 #>   t1  t2  t3  t4  t5 #> 1  1 1.2 1.0 0.8 1.0 #> 2  1 3.0 1.0 0.5 1.0 #> 3  1 1.3 1.5 1.6 1.6 #> 4  1 0.7 0.5 0.3 0.1 #> 5  1 1.4 1.7 1.9 2.0 #> 6  1 0.8 0.6 0.4 0.2 quantity6 #>    t1  t2  t3  t4   t5 #> 1 1.0 0.8 1.0 1.2  0.9 #> 2 1.0 0.9 1.1 1.2  1.2 #> 3 2.0 1.9 1.8 1.9  2.0 #> 4 1.0 1.3 3.0 6.0 12.0 #> 5 4.5 4.7 5.0 5.6  6.5 #> 6 0.5 0.6 0.8 1.3  2.5  # We'll only need prices and quantities for a few periods p0 <- price6[[1]] p1 <- price6[[2]] p2 <- price6[[3]] q0 <- price6[[1]] q1 <- price6[[2]]  # There are functions to calculate all common price indexes, # like the Laspeyres and Paasche index laspeyres_index(p1, p0, q0) #> [1] 1.4 paasche_index(p1, p0, q1) #> [1] 1.811905  # The underlying mean functions are also available, as usually # only price relatives and weights are known s0 <- p0 * q0 s1 <- p1 * q1  arithmetic_mean(p1 / p0, s0) #> [1] 1.4 harmonic_mean(p1 / p0, s1) #> [1] 1.811905  # The mean representation of a Laspeyres index makes it easy to # chain by price-updating the weights laspeyres_index(p2, p0, q0) #> [1] 1.05  arithmetic_mean(p1 / p0, s0) *   arithmetic_mean(p2 / p1, update_weights(p1 / p0, s0)) #> [1] 1.05  # The mean representation of a Paasche index makes it easy to # calculate percent-change contributions harmonic_contributions(p1 / p0, s1) #> [1]  0.02857143  0.71428571  0.04642857 -0.02500000  0.06666667 -0.01904762  # The ideas are the same for more exotic indexes, # like the Lloyd-Moulton index  # Let's start by making some functions for the Lloyd-Moulton index # when the elasticity of substitution is -1 (an output index) lloyd_moulton <- lm_index(-1) quadratic_mean <- generalized_mean(2) quadratic_update <- factor_weights(2) quadratic_contributions <- contributions(2)  # This index can be calculated as a mean of price relatives lloyd_moulton(p1, p0, q0) #> [1] 1.592692 quadratic_mean(p1 / p0, s0) #> [1] 1.592692  # Chained over time lloyd_moulton(p2, p0, q0) #> [1] 1.136515 quadratic_mean(p1 / p0, s0) *   quadratic_mean(p2 / p1, quadratic_update(p1 / p0, s0)) #> [1] 1.136515  # And decomposed to get the contributions of each relative quadratic_contributions(p1 / p0, s0) #> [1]  0.03110568  0.51154526  0.04832926 -0.03830484  0.06666667 -0.02665039"},{"path":"https://marberts.github.io/gpindex/index.html","id":"prior-work","dir":"","previous_headings":"","what":"Prior work","title":"Generalized Price and Quantity Indexes","text":"number R packages CRAN implement standard index-number formulas (e.g., IndexNumber, productivity, IndexNumR, micEconIndex, PriceIndices). support large number index-number formulas --box package, focus tools easily make work type generalized-mean price index. Consequently, compared existing packages, package suitable building custom price/quantity indexes, calculating indexes sample data, decomposing indexes, learning researching different types index-number formulas.","code":""},{"path":"https://marberts.github.io/gpindex/index.html","id":"references","dir":"","previous_headings":"","what":"References","title":"Generalized Price and Quantity Indexes","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. IMF, ILO, Eurostat, UNECE, OECD, World Bank. (2020). Consumer Price Index Manual: Concepts Methods. International Monetary Fund. von der Lippe, P. (2007). Index Theory Price Statistics. Peter Lang.","code":""},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":null,"dir":"Reference","previous_headings":"","what":"Offset a vector prices or quantities — back_period","title":"Offset a vector prices or quantities — back_period","text":"product, compute either position previous period (back period), position first period (base period). Useful price information stored table.","code":""},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Offset a vector prices or quantities — back_period","text":"","code":"back_period(period, product = gl(1, length(period)), match_first = TRUE)  base_period(period, product = gl(1, length(period)), match_first = TRUE)"},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Offset a vector prices or quantities — back_period","text":"period factor, something can coerced one, gives time period transaction. ordering time periods follows levels period agree cut(). product factor, something can coerced one, gives product identifier transaction. default assume transactions product. match_first products first period match (default)?","code":""},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Offset a vector prices or quantities — back_period","text":"functions return numeric vector indices back/base periods. back_period(), periods first, resulting vector gives location corresponding product previous period. base_period(), resulting vector gives location corresponding product first period. locations unchanged first time period match_first = TRUE, NA otherwise.","code":""},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Offset a vector prices or quantities — back_period","text":"definition, must one transaction product time period determine back/base period. multiple transactions correspond period-product pair, back/base period point time always first position product previous period.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/back_period.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Offset a vector prices or quantities — back_period","text":"","code":"df <- data.frame(   price = 1:6,   product = factor(c(\"a\", \"b\")),   period = factor(c(1, 1, 2, 2, 3, 3)) )  with(df, back_period(period, product)) #> [1] 1 2 1 2 3 4  # Make period-over-period price relatives  with(df, price / price[back_period(period, product)]) #> [1] 1.000000 1.000000 3.000000 2.000000 1.666667 1.500000  # Make fixed-base price relatives  with(df, price / price[base_period(period, product)]) #> [1] 1 1 3 2 5 3  # Change the base period with relevel()  with(df, price / price[base_period(relevel(period, \"2\"), product)]) #> [1] 0.3333333 0.5000000 1.0000000 1.0000000 1.6666667 1.5000000  # Warning is given if the same product has multiple prices # at any point in time  with(df, back_period(period)) #> Warning: there are duplicated period-product pairs #> [1] 1 1 1 1 3 3"},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":null,"dir":"Reference","previous_headings":"","what":"Balanced operator — balanced","title":"Balanced operator — balanced","text":"Makes function balance removal NAs across multiple input vectors.","code":""},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Balanced operator — balanced","text":"","code":"balanced(f, ...)"},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Balanced operator — balanced","text":"f function. ... Deprecated. Additional arguments f balanced.","code":""},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Balanced operator — balanced","text":"function like f new argument na.rm. na.rm = TRUE complete.cases() used remove missing values across inputs prior calling f.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/balanced.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Balanced operator — balanced","text":"","code":"p1 <- price6[[3]] p0 <- price6[[2]] q1 <- quantity6[[3]] q0 <- quantity6[[2]]  # Balance missing values for a Fisher index  fisher <- balanced(fisher_index) fisher(p1, p0, q1, replace(q0, 3, NA), na.rm = TRUE) #> [1] 0.9015449 fisher_index(p1[-3], p0[-3], q1[-3], q0[-3]) #> [1] 0.9015449  # Operators can be combined, but some care may be needed  x <- 1:6 w <- c(1:5, NA)  f <- factor(rep(letters[1:2], each = 3))  grouped(\\(x, w) balanced(fisher_mean)(x, w, na.rm = TRUE))(x, w, group = f) #> [1] 1.954017 1.954017 1.954017 4.499657 4.499657 4.499657 balanced(grouped(fisher_mean))(x, w, group = f, na.rm = TRUE) #> [1] 1.954017 1.954017 1.954017 4.499657 4.499657"},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":null,"dir":"Reference","previous_headings":"","what":"Percent-change contributions — contributions","title":"Percent-change contributions — contributions","text":"Calculate additive percent-change contributions generalized-mean price indexes, indexes nest two levels generalized means consisting outer generalized mean two inner generalized means (e.g., Fisher index).","code":""},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Percent-change contributions — contributions","text":"","code":"contributions(r)  arithmetic_contributions(x, w = NULL)  geometric_contributions(x, w = NULL)  harmonic_contributions(x, w = NULL)  nested_contributions(r1, r2, t = c(1, 1))  nested_contributions2(r1, r2, t = c(1, 1))  fisher_contributions(x, w1 = NULL, w2 = NULL)  fisher_contributions2(x, w1 = NULL, w2 = NULL)"},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Percent-change contributions — contributions","text":"r finite number giving order generalized mean. x strictly positive numeric vector. w, w1, w2 strictly positive numeric vector weights, length x. default equally weight element x. r1 finite number giving order outer generalized mean. r2 pair finite numbers giving order inner generalized means. t pair strictly positive weights inner generalized means. default equal weights.","code":""},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Percent-change contributions — contributions","text":"contributions() returns function: computes additive contribution element x index based generalized mean order r weights w. nested_contributions() nested_contributions2() return function: computes additive contribution element x generalized mean order r1 aggregates generalized-mean index order r2[1] weights w1 generalized-mean index order r2[2] weights w2. arithmetic_contributions(), geometric_contributions(), harmonic_contributions() return numeric vector, length x, giving contribution element x arithmetic, geometric, harmonic index. fisher_contributions() fisher_contributions2() return numeric vector, length x, giving contribution element x geometric mean aggregates arithmetic mean x weights w1 harmonic mean x weights w2.","code":"function(x, w = NULL){...} function(x, w1 = NULL, w2 = NULL){...}"},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Percent-change contributions — contributions","text":"function contributions() simple wrapper transmute_weights(r, 1)() calculate (additive) percent-change contributions price index based generalized mean order r. returns function compute vector v(x, w) generalizes approach calculating percent-change contributions section 4.2 Balk (2008) using method Martin (2021). arithmetic_contributions(), geometric_contributions() harmonic_contributions() functions cover important cases (.e., r = 1, r = 0, r = -1). nested_contributions() nested_contributions2() functions analog contributions() index based nested generalized mean two levels, like Fisher index. return function calculates contribution element x generalized mean order r1 aggregates two generalized-mean indexes x orders r2, weights w1 w2. Unlike case generalized-mean index, several ways make contributions index based nested generalized means. nested_contributions() uses generalization algorithm section 6 Reinsdorf et al. (2002) Martin (2021). nested_contributions2() generalizes van IJzeren decomposition Fisher index (Balk, 2008, section 4.2.2) constructing weighted average contributions inner means approach Martin (2021). cases results broadly similar. fisher_contributions() fisher_contributions2() functions correspond nested_contributions(0, c(1, -1))() nested_contributions2(0, c(1, -1))(), appropriate calculating percent-change contributions Fisher index.","code":"generalized_mean(r)(x, w) - 1 == sum(v(x, w))"},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Percent-change contributions — contributions","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Hallerbach, W. G. (2005). alternative decomposition Fisher index. Economics Letters, 86(2):147–152 Martin, S. (2021). note general decompositions price indexes. Prices Analytical Series, Statistics Canada catalogue . 62F0014M. Statistics Canada, Ottawa. Reinsdorf, M. B., Diewert, W. E., Ehemann, C. (2002). Additive decompositions Fisher, Törnqvist geometric mean indexes. Journal Economic Social Measurement, 28(1-2):51–61. Webster, M. Tarnow-Mordi, R. C. (2019). Decomposing multilateral price indexes contributions individual commodities. Journal Official Statistics, 35(2):461–486.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/contributions.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Percent-change contributions — contributions","text":"","code":"x <- 2:3  #---- Contributions for a geometric index ----  geometric_mean(x) - 1 # percent change in the Jevons index #> [1] 1.44949  geometric_contributions(x) #> [1] 0.5505103 0.8989795  all.equal(geometric_mean(x) - 1, sum(geometric_contributions(x))) #> [1] TRUE  # This works by first transmuting the weights in the geometric mean # into weights for an arithmetic mean, then finding the contributions # to the percent change  transmute_weights(0, 1)(x) * (x - 1) #> [1] 0.5505103 0.8989795  # Not the only way to calculate contributions  transmute2 <- function(x) {   m <- geometric_mean(x)   (m - 1) / log(m) * log(x) / (x - 1) / length(x) }  transmute2(x) * (x - 1) # not proportional to the method above #> [1] 0.5607392 0.8887506 all.equal(sum(transmute2(x) * (x - 1)), geometric_mean(x) - 1) #> [1] TRUE  # But these \"transmuted\" weights don't recover the geometric mean! # Not a particularly good way to calculate contributions  isTRUE(all.equal(   arithmetic_mean(x, transmute2(x)),   geometric_mean(x) )) #> [1] FALSE  # There are infinitely many ways to calculate contributions, but the # weights from transmute_weights(0, 1)() are the *unique* weights that # recover the geometric mean  perturb <- function(w, e) {   w + c(e, -e) / (x - 1) }  perturb(transmute2(x), 0.1) * (x - 1) #> [1] 0.6607392 0.7887506 all.equal(   sum(perturb(transmute2(x), 0.1) * (x - 1)),   geometric_mean(x) - 1 ) #> [1] TRUE isTRUE(all.equal(   arithmetic_mean(x, perturb(transmute2(x), 0.1)),   geometric_mean(x) )) #> [1] FALSE  #---- Contributions for a Fisher index ----  p1 <- price6[[2]] p0 <- price6[[1]] q1 <- quantity6[[2]] q0 <- quantity6[[1]]  # Percent-change contributions for the Fisher index in section 6 of # Reinsdorf et al. (2002)  (con <- fisher_contributions(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Paasche\")(p1, q1) )) #> [1]  0.01782904  0.18814917  0.05792820 -0.03414299  0.18217457 -0.01088796  all.equal(sum(con), fisher_index(p1, p0, q1, q0) - 1) #> [1] TRUE  # Not the only way  (con2 <- fisher_contributions2(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Paasche\")(p1, q1) )) #> [1]  0.01782865  0.18815627  0.05792735 -0.03414531  0.18217135 -0.01088828  all.equal(sum(con2), fisher_index(p1, p0, q1, q0) - 1) #> [1] TRUE  # The same as the van IJzeren decomposition in section 4.2.2 of # Balk (2008)  Qf <- quantity_index(fisher_index)(q1, q0, p1, p0) Ql <- quantity_index(laspeyres_index)(q1, q0, p0) wl <- scale_weights(index_weights(\"Laspeyres\")(p0, q0)) wp <- scale_weights(index_weights(\"HybridPaasche\")(p0, q1))  (Qf / (Qf + Ql) * wl + Ql / (Qf + Ql) * wp) * (p1 / p0 - 1) #> [1]  0.01782865  0.18815627  0.05792735 -0.03414531  0.18217135 -0.01088828  # Similar to the method in section 2 of Reinsdorf et al. (2002), # although those contributions aren't based on weights that sum to 1  Pf <- fisher_index(p1, p0, q1, q0) Pl <- laspeyres_index(p1, p0, q0)  (1 / (1 + Pf) * wl + Pl / (1 + Pf) * wp) * (p1 / p0 - 1) #> [1]  0.01760668  0.18766299  0.05803833 -0.03510719  0.18397180 -0.01112258  # Also similar to the decomposition by Hallerbach (2005), noting that # the Euler weights are close to unity  Pp <- paasche_index(p1, p0, q1)  (0.5 * sqrt(Pp / Pl) * wl + 0.5 * sqrt(Pl / Pp) * wp) * (p1 / p0 - 1) #> [1]  0.01781577  0.18809422  0.05791874 -0.03417605  0.18220228 -0.01089519  #---- Contributions for other types of indexes ----  # A function to get contributions for any superlative quadratic mean of # order 'r' index  superlative_contributions <- function(r) {   nested_contributions(0, c(r / 2, -r / 2)) }  # Can be used to decompose the implict Walsh index  superlative_contributions(1)(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Paasche\")(p1, q1) ) #> [1]  0.01797225  0.18686566  0.05817035 -0.03351992  0.18283997 -0.01079435  # Works for other types of indexes, like the harmonic # Laspeyres Paasche index  hlp_contributions <- nested_contributions(-1, c(1, -1)) hlp_contributions(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Paasche\")(p1, q1) ) #> [1]  0.01781416  0.18807725  0.05791352 -0.03417296  0.18218584 -0.01089421  # Or the AG mean index (tau = 0.25)  agmean_contributions <- nested_contributions(1, c(0, 1), c(0.25, 0.75)) agmean_contributions(   p1 / p0,   index_weights(\"Laspeyres\")(p0, q0),   index_weights(\"Laspeyres\")(p0, q0) ) #> [1]  0.02020872  0.18206588  0.06001941 -0.03256065  0.17841536 -0.01065698  # Or the Balk-Walsh index  bw_contributions <- nested_contributions(0, c(0.5, -0.5)) bw_contributions(p1 / p0) #> [1]  0.03304293  0.20895332  0.04762026 -0.06488592  0.06118424 -0.04046550"},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":null,"dir":"Reference","previous_headings":"","what":"Extended mean — extended_mean","title":"Extended mean — extended_mean","text":"Calculate generalized logarithmic mean / extended mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Extended mean — extended_mean","text":"","code":"extended_mean(r, s)  generalized_logmean(r)  logmean(a, b, tol = .Machine$double.eps^0.5)"},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Extended mean — extended_mean","text":"r, s finite number giving order generalized logarithmic mean / extended mean. , b strictly positive numeric vector. tol tolerance used determine == b.","code":""},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Extended mean — extended_mean","text":"generalized_logmean() extended_mean() return function: computes component-wise generalized logarithmic mean order r, extended mean orders r s, b. logmean() returns numeric vector, length max(length(), length(b)), giving component-wise logarithmic mean b.","code":"function(a, b, tol = .Machine$double.eps^0.5){...}"},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Extended mean — extended_mean","text":"function extended_mean() returns function compute component-wise extended mean b orders r s. See Bullen (2003, p. 393) definition. also called difference mean, Stolarsky mean, extended mean-value mean. function generalized_logmean() returns function compute component-wise generalized logarithmic mean b order r. See Bullen (2003, p. 385) definition, https://en.wikipedia.org/wiki/Stolarsky_mean. generalized logarithmic mean special case extended mean, corresponding extended_mean(r, 1)(), commonly used price indexes. function logmean() returns ordinary component-wise logarithmic mean b, corresponds generalized_logmean(1)(). b strictly positive. enforced, results may make sense generalized logarithmic mean / extended mean defined. usual recycling rules apply b length. definition, generalized logarithmic mean / extended mean b == b. tol argument used test equality checking abs(- b) <= tol. default value .equal(). Setting tol = 0 tests exact equality, can give misleading results b computed values. cases useful multiply tol scale factor, max(abs(), abs(b)). often matter making price indexes, however, b usually around 1.","code":""},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Extended mean — extended_mean","text":"generalized_logmean() can defined extended real line, r = -Inf / Inf returns pmin()/pmax(), agree definition , e.g., Bullen (2003). implemented, r must finite original formulation Stolarsky (1975).","code":""},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Extended mean — extended_mean","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Bullen, P. S. (2003). Handbook Means Inequalities. Springer Science+Business Media. Stolarsky, K. B. (1975). Generalizations Logarithmic Mean. Mathematics Magazine, 48(2): 87-92.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/extended_mean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Extended mean — extended_mean","text":"","code":"x <- 8:5 y <- 1:4  #---- Comparing logarithmic means and generalized means ----  # The arithmetic and geometric means are special cases of the # generalized logarithmic mean  all.equal(generalized_logmean(2)(x, y), (x + y) / 2) #> [1] TRUE all.equal(generalized_logmean(-1)(x, y), sqrt(x * y)) #> [1] TRUE  # The logarithmic mean lies between the arithmetic and geometric means # because the generalized logarithmic mean is increasing in r  all(logmean(x, y) < (x + y) / 2) &   all(logmean(x, y) > sqrt(x * y)) #> [1] TRUE  # The harmonic mean cannot be expressed as a logarithmic mean, but can # be expressed as an extended mean  all.equal(extended_mean(-2, -1)(x, y), 2 / (1 / x + 1 / y)) #> [1] TRUE  # The quadratic mean is also a type of extended mean  all.equal(extended_mean(2, 4)(x, y), sqrt(x^2 / 2 + y^2 / 2)) #> [1] TRUE  # As are heronian and centroidal means  all.equal(   extended_mean(0.5, 1.5)(x, y),   (x + sqrt(x * y) + y) / 3 ) #> [1] TRUE all.equal(   extended_mean(2, 3)(x, y),   2 / 3 * (x^2 + x * y + y^2) / (x + y) ) #> [1] TRUE  #---- Approximating the logarithmic mean ----  # The logarithmic mean can be approximated as a convex combination of # the arithmetic and geometric means that gives more weight to the # geometric mean  approx1 <- 1 / 3 * (x + y) / 2 + 2 / 3 * sqrt(x * y) approx2 <- ((x + y) / 2)^(1 / 3) * (sqrt(x * y))^(2 / 3)  approx1 - logmean(x, y) # always a positive approximation error #> [1] 1.932965e-02 3.260257e-03 3.420021e-04 3.852275e-06 approx2 - logmean(x, y) # a negative approximation error #> [1] -6.436118e-02 -1.212079e-02 -1.336412e-03 -1.537117e-05  # A better approximation  correction <- (log(x / y) / pi)^4 / 32 approx1 / (1 + correction) - logmean(x, y) #> [1] -8.576372e-04  1.064231e-04  2.148563e-05  2.877344e-07  #---- Some identities ----  # A useful identity for turning an additive change into a proportionate # change  all.equal(logmean(x, y) * log(x / y), x - y) #> [1] TRUE  # Works for other orders, too  r <- 2  all.equal(   generalized_logmean(r)(x, y)^(r - 1) * (r * (x - y)),   (x^r - y^r) ) #> [1] TRUE  # Some other identities  all.equal(   generalized_logmean(-2)(1, 2),   (harmonic_mean(1:2) * geometric_mean(1:2)^2)^(1 / 3) ) #> [1] TRUE  all.equal(   generalized_logmean(0.5)(1, 2),   (arithmetic_mean(1:2) + geometric_mean(1:2)) / 2 ) #> [1] TRUE  all.equal(   logmean(1, 2),   geometric_mean(1:2)^2 * logmean(1, 1 / 2) ) #> [1] TRUE  #---- Integral representations of the logarithmic mean ----  logmean(2, 3) #> [1] 2.466303  integrate(function(t) 2^(1 - t) * 3^t, 0, 1)$value #> [1] 2.466303 1 / integrate(function(t) 1 / (2 * (1 - t) + 3 * t), 0, 1)$value #> [1] 2.466303"},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":null,"dir":"Reference","previous_headings":"","what":"Factor weights — factor_weights","title":"Factor weights — factor_weights","text":"Factor weights turn generalized mean product product generalized means. Useful price-updating weights generalized-mean index.","code":""},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Factor weights — factor_weights","text":"","code":"factor_weights(r)  update_weights(x, w = NULL)"},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Factor weights — factor_weights","text":"r finite number giving order generalized mean. x strictly positive numeric vector. w strictly positive numeric vector weights, length x. default equally weight element x.","code":""},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Factor weights — factor_weights","text":"factor_weights() return function: update_weights() returns numeric vector length x.","code":"function(x, w = NULL){...}"},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Factor weights — factor_weights","text":"function factor_weights(r) returns function compute weights u(x, w) generalizes result section C.5 Chapter 9 PPI Manual chaining Young index, gives way chain generalized-mean price indexes time. Factoring weights r = 1 sometimes gets called price-updating weights; update_weights() simply calls factor_weights(1)(). Factoring weights return value length x, missing values x weights return NA. Unless values NA, however, result still satisfy identity na.rm = TRUE.","code":"generalized_mean(r)(x * y, w) ==   generalized_mean(r)(x, w) * generalized_mean(r)(y, u(x, w))"},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Factor weights — factor_weights","text":"ILO, IMF, OECD, UNECE, World Bank. (2004). Producer Price Index Manual: Theory Practice. International Monetary Fund.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/factor_weights.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Factor weights — factor_weights","text":"","code":"x <- 1:3 y <- 4:6 w <- 3:1 # Factor the harmonic mean by chaining the calculation  harmonic_mean(x * y, w) #> [1] 5.966851 harmonic_mean(x, w) * harmonic_mean(y, factor_weights(-1)(x, w)) #> [1] 5.966851  # The common case of an arithmetic mean  arithmetic_mean(x * y, w) #> [1] 8.333333 arithmetic_mean(x, w) * arithmetic_mean(y, update_weights(x, w)) #> [1] 8.333333  # In cases where x and y have the same order, Chebyshev's # inequality implies that the chained calculation is too small  arithmetic_mean(x * y, w) >   arithmetic_mean(x, w) * arithmetic_mean(y, w) #> [1] TRUE"},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":null,"dir":"Reference","previous_headings":"","what":"GEKS index — geks","title":"GEKS index — geks","text":"Calculate generalized inter-temporal GEKS price index rolling window.","code":""},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"GEKS index — geks","text":"","code":"geks(f, r = 0)  tornqvist_geks(   p,   q,   period,   product,   window = nlevels(period),   n = window - 1L,   na.rm = FALSE )  fisher_geks(   p,   q,   period,   product,   window = nlevels(period),   n = window - 1L,   na.rm = FALSE )  walsh_geks(   p,   q,   period,   product,   window = nlevels(period),   n = window - 1L,   na.rm = FALSE )"},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"GEKS index — geks","text":"f price index function uses information base current-period prices quantities, satisfies time-reversal test. Usually Törnqvist, Fisher, Walsh index. r finite number giving order generalized mean used average price indexes rolling window. default uses geometric mean. p numeric vector prices, length q. q numeric vector quantities, length p. period factor, something can coerced one, gives corresponding time period element p q. ordering time periods follows levels period agree cut(). product factor, something can coerced one, gives corresponding product identifier element p q. window positive integer giving length rolling window. default window encompasses periods period. Non-integers truncated towards zero. n positive integer giving length index series window, starting end window. example, 13 periods window, setting n = 1 gives index period 13. default gives index period window. Non-integers truncated towards zero. na.rm Passed f control missing values removed.","code":""},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"GEKS index — geks","text":"geks() returns function: calculates period--period GEKS index desired index-number formula, returning list window named-numeric vector index values. tornqvist_geks(), fisher_geks(), walsh_geks() return list named numeric vector giving value respective period--period GEKS index window.","code":"function(p, q, period, product, window = nlevels(period), n =          window - 1, na.rm = FALSE){...}"},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"GEKS index — geks","text":"Like back_period(), multiple prices correspond period-product pair, back price point time always first price product previous period. Unlike bilateral index, however, duplicated period-product pairs can subtle implications multilateral index.","code":""},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"GEKS index — geks","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. IMF, ILO, Eurostat, UNECE, OECD, World Bank. (2020). Consumer Price Index Manual: Concepts Methods. International Monetary Fund. Ivancic, L., Diewert, W. E., Fox, K. J. (2011). Scanner data, time aggregation construction price indexes. Journal Econometrics, 161(1): 24–35.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/geks.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"GEKS index — geks","text":"","code":"price <- 1:10 quantity <- 10:1 period <- rep(1:5, 2) product <- rep(letters[1:2], each = 5)  cumprod(tornqvist_geks(price, quantity, period, product)[[1]]) #>        2        3        4        5  #> 1.413257 1.835676 2.284565 2.789856   # Calculate the index over a rolling window  (tg <- tornqvist_geks(price, quantity, period, product, window = 3)) #> [[1]] #>        2        3  #> 1.391443 1.294442  #>  #> [[2]] #>        3        4  #> 1.292486 1.238393  #>  #> [[3]] #>        4        5  #> 1.238417 1.205921  #>   # Use a movement splice to combine the indexes in each window  splice_index(tg, 2) #> [1] 1.391443 1.801142 2.230521 2.689833  # ... or use a mean splice  splice_index(tg) #> [1] 1.391443 1.801142 2.228836 2.687826  #---- Missing data ----  quantity[2] <- NA  # Use all non-missing data  fisher_geks(price, quantity, period, product, na.rm = TRUE) #> [[1]] #>        2        3        4        5  #> 1.438137 1.234230 1.234212 1.216746  #>   # Remove records with any missing data  fg <- geks(balanced(fisher_index)) fg(price, quantity, period, product, na.rm = TRUE) #> [[1]] #>        2        3        4        5  #> 1.501481 1.148250 1.219688 1.199513  #>   #---- Make a Jevons GEKS index ----  jevons_geks <- geks(\\(p1, p0, ..., na.rm) jevons_index(p1, p0, na.rm)) jevons_geks(price, quantity, period, product) #> [[1]] #>        2        3        4        5  #> 1.527525 1.309307 1.224745 1.178511  #>"},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":null,"dir":"Reference","previous_headings":"","what":"Generalized mean — generalized_mean","title":"Generalized mean — generalized_mean","text":"Calculate weighted generalized mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Generalized mean — generalized_mean","text":"","code":"generalized_mean(r)  arithmetic_mean(x, w = NULL, na.rm = FALSE)  geometric_mean(x, w = NULL, na.rm = FALSE)  harmonic_mean(x, w = NULL, na.rm = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Generalized mean — generalized_mean","text":"r finite number giving order generalized mean. x strictly positive numeric vector. w strictly positive numeric vector weights, length x. default equally weight element x. na.rm missing values x w removed? default missing values x w return missing value.","code":""},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generalized mean — generalized_mean","text":"generalized_mean() returns function: computes generalized mean order r x weights w. arithmetic_mean(), geometric_mean(), harmonic_mean() return numeric value generalized means order 1, 0, -1.","code":"function(x, w = NULL, na.rm = FALSE){...}"},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Generalized mean — generalized_mean","text":"function generalized_mean() returns function compute generalized mean x weights w exponent r (.e., \\(\\prod_{= 1}^{n} x_{}^{w_{}}\\) \\(r = 0\\) \\(\\left(\\sum_{= 1}^{n} w_{} x_{}^{r}\\right)^{1 / r}\\) otherwise). also called power mean, Hölder mean, \\(l_p\\) mean. See Bullen (2003, p. 175) definition, https://en.wikipedia.org/wiki/Generalized_mean. generalized mean solution optimal prediction problem: choose \\(m\\) minimize \\(\\sum_{= 1}^{n} w_{} \\left[\\log(x_{}) - \\log(m) \\right]^2\\) \\(r = 0\\), \\(\\sum_{= 1}^{n} w_{} \\left[x_{}^r - m^r \\right]^2\\) otherwise. functions arithmetic_mean(), geometric_mean(), harmonic_mean() compute arithmetic, geometric, harmonic (subcontrary) means, also known Pythagorean means. useful means making price indexes, correspond setting r = 1, r = 0, r = -1 generalized_mean(). x w strictly positive (finite), especially purpose making price index. enforced, results may make sense generalized mean defined. two exceptions . convention Hardy et al. (1952, p. 13) used cases x zeros: generalized mean 0 whenever w strictly positive r < 0. (analogous convention holds whenever least one element x Inf: generalized mean Inf whenever w strictly positive r > 0.) authors let w non-negative sum 1 (e.g., Sydsaeter et al., 2005, p. 47). w zeros, corresponding element x impact mean whenever x strictly positive. Unlike weighted.mean(), however, zeros w strong zeros, infinite values x propagate even corresponding elements w zero. weights scaled sum 1 satisfy definition generalized mean. certain price indexes weights scaled (e.g., Vartia-index); use sum() cases. underlying calculation returned generalized_mean() mostly identical weighted.mean(), one important exception: missing values weights treated differently missing values x. Setting na.rm = TRUE drops missing values x w, just x. ensures certain useful identities satisfied missing values x. cases arithmetic_mean() drop-replacement weighted.mean().","code":""},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Generalized mean — generalized_mean","text":"generalized_mean() can defined extended real line, r = -Inf / Inf returns min()/max(), agree definition , e.g., Bullen (2003). implemented, r must finite. number existing functions calculating unweighted geometric harmonic means, namely geometric.mean() harmonic.mean() functions psych package, geomean() function FSA package, GMean() HMean() functions DescTools package, geoMean() function EnvStats package. Similarly, ci_generalized_mean() function Compind package calculates unweighted generalized mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Generalized mean — generalized_mean","text":"Bullen, P. S. (2003). Handbook Means Inequalities. Springer Science+Business Media. Fisher, . (1922). Making Index Numbers. Houghton Mifflin Company. Hardy, G., Littlewood, J. E., Polya, G. (1952). Inequalities (2nd edition). Cambridge University Press. IMF, ILO, Eurostat, UNECE, OECD, World Bank. (2020). Consumer Price Index Manual: Concepts Methods. International Monetary Fund. Lord, N. (2002). Smaller Spread Always Mean Larger Product? Mathematical Gazette, 86(506): 273-274. Sydsaeter, K., Strom, ., Berck, P. (2005). Economists' Mathematical Manual (4th edition). Springer.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/generalized_mean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generalized mean — generalized_mean","text":"","code":"x <- 1:3 w <- c(0.25, 0.25, 0.5)  #---- Common generalized means ----  # Arithmetic mean  arithmetic_mean(x, w) # same as weighted.mean(x, w) #> [1] 2.25  # Geometric mean  geometric_mean(x, w) # same as prod(x^w) #> [1] 2.059767  # Harmonic mean  harmonic_mean(x, w) # same as 1 / weighted.mean(1 / x, w) #> [1] 1.846154  # Quadratic mean / root mean square  generalized_mean(2)(x, w) #> [1] 2.397916  # Cubic mean # Notice that this is larger than the other means so far because # the generalized mean is increasing in r  generalized_mean(3)(x, w) #> [1] 2.506649  #---- Comparing the Pythagorean means ----  # The dispersion between the arithmetic, geometric, and harmonic # mean usually increases as the variance of 'x' increases  x <- c(1, 3, 5) y <- c(2, 3, 4)  var(x) > var(y) #> [1] TRUE  arithmetic_mean(x) - geometric_mean(x) #> [1] 0.5337879 arithmetic_mean(y) - geometric_mean(y) #> [1] 0.1155009  geometric_mean(x) - harmonic_mean(x) #> [1] 0.5096903 geometric_mean(y) - harmonic_mean(y) #> [1] 0.1152684  # But the dispersion between these means is only bounded by the # variance (Bullen, 2003, p. 156)  arithmetic_mean(x) - geometric_mean(x) >= 2 / 3 * var(x) / (2 * max(x)) #> [1] TRUE arithmetic_mean(x) - geometric_mean(x) <= 2 / 3 * var(x) / (2 * min(x)) #> [1] TRUE  # Example by Lord (2002) where the dispersion decreases as the variance # increases, counter to the claims by Fisher (1922, p. 108) and the # CPI manual (par. 1.14)  x <- (5 + c(sqrt(5), -sqrt(5), -3)) / 4 y <- (16 + c(7 * sqrt(2), -7 * sqrt(2), 0)) / 16  var(x) > var(y) #> [1] TRUE  arithmetic_mean(x) - geometric_mean(x) #> [1] 0.145012 arithmetic_mean(y) - geometric_mean(y) #> [1] 0.1485894  geometric_mean(x) - harmonic_mean(x) #> [1] 0.104988 geometric_mean(y) - harmonic_mean(y) #> [1] 0.1439479  # The \"bias\" in the arithmetic and harmonic indexes is also smaller in # this case, counter to the claim by Fisher (1922, p. 108)  arithmetic_mean(x) * arithmetic_mean(1 / x) - 1 #> [1] 0.3333333 arithmetic_mean(y) * arithmetic_mean(1 / y) - 1 #> [1] 0.4135021  harmonic_mean(x) * harmonic_mean(1 / x) - 1 #> [1] -0.25 harmonic_mean(y) * harmonic_mean(1 / y) - 1 #> [1] -0.2925373  #---- Missing values ----  w[2] <- NA  arithmetic_mean(x, w, na.rm = TRUE) # drop the second observation #> [1] 0.936339 weighted.mean(x, w, na.rm = TRUE) # still returns NA #> [1] NA"},{"path":"https://marberts.github.io/gpindex/reference/gpindex-package.html","id":null,"dir":"Reference","previous_headings":"","what":"gpindex: Generalized Price and Quantity Indexes — gpindex-package","title":"gpindex: Generalized Price and Quantity Indexes — gpindex-package","text":"Tools build work bilateral generalized-mean price indexes (extension quantity indexes), indexes composed generalized-mean indexes (e.g., superlative quadratic-mean indexes, GEKS). Covers core mathematical machinery making bilateral price indexes, computing price relatives, detecting outliers, decomposing indexes, wrappers common (many uncommon) index-number formulas. Implements extends many methods Balk (2008, doi:10.1017/CBO9780511720758 ), von der Lippe (2007, doi:10.3726/978-3-653-01120-3 ), CPI manual (2020, doi:10.5089/9781484354841.069 ).","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/gpindex-package.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"gpindex: Generalized Price and Quantity Indexes — gpindex-package","text":"Maintainer: Steve Martin marberts@protonmail.com (ORCID) [copyright holder]","code":""},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":null,"dir":"Reference","previous_headings":"","what":"Grouped operator — grouped","title":"Grouped operator — grouped","text":"Make function applicable grouped data.","code":""},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Grouped operator — grouped","text":"","code":"grouped(f, ...)"},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Grouped operator — grouped","text":"f function. ... Deprecated. Additional arguments f treated grouped.","code":""},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Grouped operator — grouped","text":"function like f new argument group. accepts factor split arguments f groups applying f group combining results. similar ave(), general.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/grouped.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Grouped operator — grouped","text":"","code":"p1 <- price6[[3]] p0 <- price6[[2]] q1 <- quantity6[[3]] q0 <- quantity6[[2]]  # Calculate Tornqvist weights for two groups  f <- factor(rep(letters[1:2], each = 3)) tornqvist_weights <- grouped(index_weights(\"Tornqvist\")) tornqvist_weights(p1, p0, q1, q0, group = f) #> [1] 0.18247009 0.33481172 0.48271819 0.12865397 0.81833234 0.05301369  # Calculate a mean like ave(), but with weights  x <- 1:6 w <- c(1:5, NA) grouped_mean <- grouped(\\(x, w) geometric_mean(x, w, na.rm = TRUE)) grouped_mean(x, w, group = f) #> [1] 2.182247 2.182247 2.182247 4.527921 4.527921 4.527921  # Redistribute weights  w1 <- c(2, 4) w2 <- 1:6  harmonic_mean(mapply(harmonic_mean, split(x, f), split(w2, f)), w1) #> [1] 3.333333  wr <- grouped(scale_weights)(w2, group = f) * w1[f] harmonic_mean(x, wr) #> [1] 3.333333"},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":null,"dir":"Reference","previous_headings":"","what":"Index weights — index_weights","title":"Index weights — index_weights","text":"Calculate weights variety different price indexes.","code":""},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Index weights — index_weights","text":"","code":"index_weights(   type = c(\"Carli\", \"Jevons\", \"Coggeshall\", \"Dutot\", \"Laspeyres\", \"HybridLaspeyres\",     \"LloydMoulton\", \"Palgrave\", \"Paasche\", \"HybridPaasche\", \"Drobisch\", \"Unnamed\",     \"Tornqvist\", \"Walsh1\", \"Walsh2\", \"MarshallEdgeworth\", \"GearyKhamis\", \"Vartia1\",     \"MontgomeryVartia\", \"Vartia2\", \"SatoVartia\", \"Theil\", \"Rao\", \"Lowe\", \"Young\") )"},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Index weights — index_weights","text":"type name index. See details possible types indexes.","code":""},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Index weights — index_weights","text":"function current base period prices/quantities calculates relevant weights.","code":""},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Index weights — index_weights","text":"index_weights() function returns function calculate weights variety price indexes. Weights following types indexes can calculated. Carli / Jevons / Coggeshall Dutot Laspeyres / Lloyd-Moulton Hybrid Laspeyres (use harmonic mean) Paasche / Palgrave Hybrid Paasche (use arithmetic mean) Törnqvist / Unnamed Drobisch Walsh-(arithmetic Walsh index) Walsh-II (geometric Walsh index) Marshall-Edgeworth Geary-Khamis Montgomery-Vartia / Vartia-Sato-Vartia / Vartia-II Theil Rao Lowe Young weights need sum 1, normalization always appropriate (.e., Vartia-weights).","code":""},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Index weights — index_weights","text":"Naming indexes weights generally follows CPI manual (2020), Balk (2008), Selvanathan Rao (1994). several cases two names correspond weights (e.g., Paasche Palgrave, Sato-Vartia Vartia-II). calculations given examples.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/index_weights.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Index weights — index_weights","text":"","code":"p0 <- price6[[2]] p1 <- price6[[3]] q0 <- quantity6[[2]] q1 <- quantity6[[3]] pb <- price6[[1]] qb <- quantity6[[1]]  #---- Making the weights for different indexes ----  # Explicit calculation for each of the different weights # Carli/Jevons/Coggeshall  all.equal(index_weights(\"Carli\")(p1), rep(1, length(p0))) #> [1] TRUE  # Dutot  all.equal(index_weights(\"Dutot\")(p0), p0) #> [1] TRUE  # Laspeyres / Lloyd-Moulton  all.equal(index_weights(\"Laspeyres\")(p0, q0), p0 * q0) #> [1] TRUE  # Hybrid Laspeyres  all.equal(index_weights(\"HybridLaspeyres\")(p1, q0), p1 * q0) #> [1] TRUE  # Paasche / Palgrave  all.equal(index_weights(\"Paasche\")(p1, q1), p1 * q1) #> [1] TRUE  # Hybrid Paasche  all.equal(index_weights(\"HybridPaasche\")(p0, q1), p0 * q1) #> [1] TRUE  # Tornqvist / Unnamed  all.equal(   index_weights(\"Tornqvist\")(p1, p0, q1, q0),   0.5 * p0 * q0 / sum(p0 * q0) + 0.5 * p1 * q1 / sum(p1 * q1) ) #> [1] TRUE  # Drobisch  all.equal(   index_weights(\"Drobisch\")(p1, p0, q1, q0),   0.5 * p0 * q0 / sum(p0 * q0) + 0.5 * p0 * q1 / sum(p0 * q1) ) #> [1] TRUE  # Walsh-I  all.equal(   index_weights(\"Walsh1\")(p0, q1, q0),   p0 * sqrt(q0 * q1) ) #> [1] TRUE  # Marshall-Edgeworth  all.equal(   index_weights(\"MarshallEdgeworth\")(p0, q1, q0),   p0 * (q0 + q1) ) #> [1] TRUE  # Geary-Khamis  all.equal(   index_weights(\"GearyKhamis\")(p0, q1, q0),   p0 / (1 / q0 + 1 / q1) ) #> [1] TRUE  # Montgomery-Vartia / Vartia-I  all.equal(   index_weights(\"MontgomeryVartia\")(p1, p0, q1, q0),   logmean(p0 * q0, p1 * q1) / logmean(sum(p0 * q0), sum(p1 * q1)) ) #> [1] TRUE  # Sato-Vartia / Vartia-II  all.equal(   index_weights(\"SatoVartia\")(p1, p0, q1, q0),   logmean(p0 * q0 / sum(p0 * q0), p1 * q1 / sum(p1 * q1)) ) #> [1] TRUE  # Walsh-II  all.equal(   index_weights(\"Walsh2\")(p1, p0, q1, q0),   sqrt(p0 * q0 * p1 * q1) ) #> [1] TRUE  # Theil  all.equal(index_weights(\"Theil\")(p1, p0, q1, q0), {   w0 <- scale_weights(p0 * q0)   w1 <- scale_weights(p1 * q1)   (w0 * w1 * (w0 + w1) / 2)^(1 / 3) }) #> [1] TRUE  # Rao  all.equal(index_weights(\"Rao\")(p1, p0, q1, q0), {   w0 <- scale_weights(p0 * q0)   w1 <- scale_weights(p1 * q1)   w0 * w1 / (w0 + w1) }) #> [1] TRUE  # Lowe  all.equal(index_weights(\"Lowe\")(p0, qb), p0 * qb) #> [1] TRUE  # Young  all.equal(index_weights(\"Young\")(pb, qb), pb * qb) #> [1] TRUE"},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":null,"dir":"Reference","previous_headings":"","what":"Lehmer mean — lehmer_mean","title":"Lehmer mean — lehmer_mean","text":"Calculate weighted Lehmer mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Lehmer mean — lehmer_mean","text":"","code":"lehmer_mean(r)  contraharmonic_mean(x, w = NULL, na.rm = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Lehmer mean — lehmer_mean","text":"r finite number giving order Lehmer mean. x strictly positive numeric vector. w strictly positive numeric vector weights, length x. default equally weight element x. na.rm missing values x w removed? default missing values x w return missing value.","code":""},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Lehmer mean — lehmer_mean","text":"lehmer_mean() returns function: computes Lehmer mean order r x weights w. contraharmonic_mean() returns numeric value Lehmer mean order 2.","code":"function(x, w = NULL, na.rm = FALSE){...}"},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Lehmer mean — lehmer_mean","text":"function lehmer_mean() returns function compute Lehmer mean order r x weights w, calculated arithmetic mean x weights \\(wx^{r-1}\\). also called counter-harmonic mean generalized anti-harmonic mean. See Bullen (2003, p. 245) definition, https://en.wikipedia.org/wiki/Lehmer_mean. Lehmer mean order 2 sometimes called contraharmonic (anti-harmonic) mean. function contraharmonic_mean() simply calls lehmer_mean(2)(). Like generalized mean, contraharmonic mean solution optimal prediction problem: choose \\(m\\) minimize \\(\\sum_{= 1}^{n} w_{} \\left(\\frac{x_{}}{m} - 1 \\right)^2\\). Lehmer mean order -1 similar interpretation, replacing \\(\\frac{x_{}}{m}\\) \\(\\frac{m}{x_{}}\\), together bound harmonic arithmetic means. Lehmer mean alternative generalized mean generalizes Pythagorean means. function lehmer_mean(1)() identical arithmetic_mean(), lehmer_mean(0)() identical harmonic_mean(), lehmer_mean(0.5)() identical geometric_mean() two values weights. See von der Lippe (2015) details use means making price indexes.","code":""},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Lehmer mean — lehmer_mean","text":"lehmer_mean() can defined extended real line, r = -Inf / Inf returns min()/max(), agree definition , e.g., Bullen (2003). implemented, r must finite.","code":""},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Lehmer mean — lehmer_mean","text":"Bullen, P. S. (2003). Handbook Means Inequalities. Springer Science+Business Media. Lehmer, D. H. (1971). Compounding Certain Means. Journal Mathematical Analysis Applications, 36(1): 183-200. von der Lippe, P. (2015). Generalized Statistical Means New Price Index Formulas, Notes unexplored index formulas, interpretations generalizations. Munich Personal RePEc Archive paper . 64952.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/lehmer_mean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Lehmer mean — lehmer_mean","text":"","code":"x <- 2:3 w <- c(0.25, 0.75)  #---- The Pythagorean means are special cases of the Lehmer mean ----  all.equal(lehmer_mean(1)(x, w), arithmetic_mean(x, w)) #> [1] TRUE all.equal(lehmer_mean(0)(x, w), harmonic_mean(x, w)) #> [1] TRUE all.equal(lehmer_mean(0.5)(x), geometric_mean(x)) #> [1] TRUE  #---- Comparing Lehmer means and generalized means ----  # When r < 1, the generalized mean is larger than the corresponding # Lehmer mean  lehmer_mean(-1)(x, w) < generalized_mean(-1)(x, w) #> [1] TRUE  # The reverse is true when r > 1  lehmer_mean(3)(x, w) > generalized_mean(3)(x, w) #> [1] TRUE  # This implies the contraharmonic mean is larger than the quadratic # mean, and therefore the Pythagorean means  contraharmonic_mean(x, w) > arithmetic_mean(x, w) #> [1] TRUE contraharmonic_mean(x, w) > geometric_mean(x, w) #> [1] TRUE contraharmonic_mean(x, w) > harmonic_mean(x, w) #> [1] TRUE  # ... and the logarithmic mean  contraharmonic_mean(2:3) > logmean(2, 3) #> [1] TRUE  # The difference between the arithmetic mean and contraharmonic mean # is proportional to the variance of x  weighted_var <- function(x, w) {   arithmetic_mean((x - arithmetic_mean(x, w))^2, w) }  arithmetic_mean(x, w) + weighted_var(x, w) / arithmetic_mean(x, w) #> [1] 2.818182 contraharmonic_mean(x, w) #> [1] 2.818182  #---- Changing the order of the mean ----  # It is easy to modify the weights to turn a Lehmer mean of order r # into a Lehmer mean of order s because the Lehmer mean can be # expressed as an arithmetic mean  r <- 2 s <- -3 lehmer_mean(r)(x, w) #> [1] 2.818182 lehmer_mean(s)(x, w * x^(r - 1) / x^(s - 1)) #> [1] 2.818182  # The weights can also be modified to turn a Lehmer mean of order r # into a generalized mean of order s  lehmer_mean(r)(x, w) #> [1] 2.818182 generalized_mean(s)(x, transmute_weights(1, s)(x, w * x^(r - 1))) #> [1] 2.818182  # ... and vice versa  lehmer_mean(r)(x, transmute_weights(s, 1)(x, w) / x^(r - 1)) #> [1] 2.568312 generalized_mean(s)(x, w) #> [1] 2.568312  #---- Percent-change contributions ----  # Percent-change contributions for a price index based on the Lehmer # mean are easy to calculate  scale_weights(w * x^(r - 1)) * (x - 1) #> [1] 0.1818182 1.6363636"},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":null,"dir":"Reference","previous_headings":"","what":"Nested generalized mean — nested_mean","title":"Nested generalized mean — nested_mean","text":"Calculate (outer) generalized mean two (inner) generalized means (.e., crossing generalized means).","code":""},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Nested generalized mean — nested_mean","text":"","code":"nested_mean(r1, r2, t = c(1, 1))  fisher_mean(x, w1 = NULL, w2 = NULL, na.rm = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Nested generalized mean — nested_mean","text":"r1 finite number giving order outer generalized mean. r2 pair finite numbers giving order inner generalized means. t pair strictly positive weights inner generalized means. default equal weights. x strictly positive numeric vector. w1, w2 strictly positive numeric vector weights, length x. default equally weight element x. na.rm missing values x, w1, w2 removed? default missing values x, w1, w2 return missing value.","code":""},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Nested generalized mean — nested_mean","text":"nested_mean() returns function: computes generalized mean order r1 generalized mean order r2[1] x weights w1 generalized mean order r2[2] x weights w2. fisher_mean() returns numeric value geometric mean arithmetic harmonic means (.e., r1 = 0 r2 = c(1, -1)).","code":"function(x, w1 = NULL, w2 = NULL, na.rm = FALSE){...}"},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Nested generalized mean — nested_mean","text":"ambiguity remove missing values w1 w2 na.rm = TRUE. approach remove missing values calculating inner means individually, rather removing missing values prior calculations. means different number data points used calculate inner means. Use balanced() operator balance missing values across w1 w2 prior calculations.","code":""},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Nested generalized mean — nested_mean","text":"Diewert, W. E. (1976). Exact superlative index numbers. Journal Econometrics, 4(2): 114–145. ILO, IMF, OECD, UNECE, World Bank. (2004). Producer Price Index Manual: Theory Practice. International Monetary Fund. Lent, J. Dorfman, . H. (2009). Using weighted average base period price indexes approximate superlative index. Journal Official Statistics, 25(1):139–149.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/nested_mean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Nested generalized mean — nested_mean","text":"","code":"x <- 1:3 w1 <- 4:6 w2 <- 7:9  #---- Making superlative indexes ----  # A function to make the superlative quadratic mean price index by # Diewert (1976) as a product of generalized means  quadratic_mean_index <- function(r) nested_mean(0, c(r / 2, -r / 2))  quadratic_mean_index(2)(x, w1, w2) #> [1] 1.912366  # The arithmetic AG mean index by Lent and Dorfman (2009)  agmean_index <- function(tau) nested_mean(1, c(0, 1), c(tau, 1 - tau))  agmean_index(0.25)(x, w1, w1) #> [1] 2.088801  #---- Walsh index ----  # The (arithmetic) Walsh index is the implicit price index when using a # superlative quadratic mean quantity index of order 1  p1 <- price6[[2]] p0 <- price6[[1]] q1 <- quantity6[[2]] q0 <- quantity6[[1]]  walsh <- quadratic_mean_index(1)  sum(p1 * q1) / sum(p0 * q0) / walsh(q1 / q0, p0 * q0, p1 * q1) #> [1] 1.401718  sum(p1 * sqrt(q1 * q0)) / sum(p0 * sqrt(q1 * q0)) #> [1] 1.401718  # Counter to the PPI manual (par. 1.105), it is not a superlative # quadratic mean price index of order 1  walsh(p1 / p0, p0 * q0, p1 * q1) #> [1] 1.401534  # That requires using the average value share as weights  walsh_weights <- sqrt(scale_weights(p0 * q0) * scale_weights(p1 * q1)) walsh(p1 / p0, walsh_weights, walsh_weights) #> [1] 1.401718  #---- Missing values ----  x[1] <- NA w1[2] <- NA  fisher_mean(x, w1, w2, na.rm = TRUE) #> [1] 2.699206  # Same as using obs 2 and 3 in an arithmetic mean, and obs 3 in a # harmonic mean  geometric_mean(c(   arithmetic_mean(x, w1, na.rm = TRUE),   harmonic_mean(x, w2, na.rm = TRUE) )) #> [1] 2.699206  # Use balanced() to use only obs 3 in both inner means  balanced(fisher_mean)(x, w1, w2, na.rm = TRUE) #> [1] 3"},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":null,"dir":"Reference","previous_headings":"","what":"Outlier detection for price relatives — outliers","title":"Outlier detection for price relatives — outliers","text":"Standard cutoff-based methods detecting outliers price relatives.","code":""},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Outlier detection for price relatives — outliers","text":"","code":"quartile_method(x, cu = 2.5, cl = cu, a = 0, type = 7)  resistant_fences(x, cu = 2.5, cl = cu, a = 0, type = 7)  robust_z(x, cu = 2.5, cl = cu)  fixed_cutoff(x, cu = 2.5, cl = 1/cu)  tukey_algorithm(x, cu = 2.5, cl = cu, type = 7)  hb_transform(x)"},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Outlier detection for price relatives — outliers","text":"x strictly positive numeric vector price relatives. can made , e.g., back_period(). cu, cl numeric vector, something can coerced one, giving upper lower cutoffs element x. Recycled length x. numeric vector, something can coerced one, 0 1 giving scale factor median establish minimum dispersion quartiles element x. default set minimum dispersion. Recycled length x. type See quantile().","code":""},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Outlier detection for price relatives — outliers","text":"logical vector, length x, TRUE corresponding element x identified outlier, FALSE otherwise.","code":""},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Outlier detection for price relatives — outliers","text":"functions constructs interval form \\([b_l(x) - c_l \\times l(x), b_u(x) + c_u \\times u(x)]\\) assigns value x TRUE value belong interval, FALSE otherwise. methods differ construct values \\(b_l(x)\\), \\(b_u(x)\\), \\(l(x)\\), \\(u(x)\\). missing values x ignored calculating cutoffs, return NA. fixed cutoff method simplest, just uses interval \\([c_l, c_u]\\). quartile method Tukey algorithm described paragraphs 5.113 5.135 CPI manual (2020), well Rais (2008) Hutton (2008). resistant fences method alternative quartile method, described Rais (2008) Hutton (2008). Quantile-based methods often identify price relatives outliers distribution concentrated around 1; setting > 0 puts floor minimum dispersion quantiles fraction median. See references details. robust Z-score usual method identify relatives (asymmetric) tails distribution, simply replacing mean median, standard deviation median absolute deviation. methods often assume price relatives symmetrically distributed (Gaussian). distribution price relatives often long right tail, natural logarithm can used transform price relative identifying outliers (sometimes assumption price relatives distributed log-normal). Hidiroglou-Berthelot transformation another approach, described CPI manual (par. 5.124). (Sometimes transformed price relatives multiplied \\(\\max(p_1, p_0)^u\\), \\(0 \\le u \\le 1\\), products larger price get flagged outliers (par. 5.128).)","code":""},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Outlier detection for price relatives — outliers","text":"Hutton, H. (2008). Dynamic outlier detection price index surveys. Proceedings Survey Methods Section: Statistical Society Canada Annual Meeting. IMF, ILO, Eurostat, UNECE, OECD, World Bank. (2020). Consumer Price Index Manual: Concepts Methods. International Monetary Fund. Rais, S. (2008). Outlier detection Consumer Price Index. Proceedings Survey Methods Section: Statistical Society Canada Annual Meeting.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/outliers.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Outlier detection for price relatives — outliers","text":"","code":"set.seed(1234)  x <- rlnorm(10)  fixed_cutoff(x) #>  [1]  TRUE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE robust_z(x) #>  [1] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE quartile_method(x) #>  [1] FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE resistant_fences(x) # always identifies fewer outliers than above #>  [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE tukey_algorithm(x) #>  [1] FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE  log(x) #>  [1] -1.2070657  0.2774292  1.0844412 -2.3456977  0.4291247  0.5060559 #>  [7] -0.5747400 -0.5466319 -0.5644520 -0.8900378 hb_transform(x) #>  [1] -0.918538151  1.300051411  4.154877789 -4.990623335  1.676813038 #>  [6]  1.890871823 -0.019423964  0.008909836 -0.008989935 -0.397291327  # Works the same for grouped data  f <- c(\"a\", \"b\", \"a\", \"a\", \"b\", \"b\", \"b\", \"a\", \"a\", \"b\") grouped(quartile_method)(x, group = f) #>  [1] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE"},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":null,"dir":"Reference","previous_headings":"","what":"Sample price/quantity data — price_data","title":"Sample price/quantity data — price_data","text":"Prices quantities six products five periods.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":"format","dir":"Reference","previous_headings":"","what":"Format","title":"Sample price/quantity data — price_data","text":"data frame 6 rows 5 columns, row corresponding product column corresponding time period.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":"source","dir":"Reference","previous_headings":"","what":"Source","title":"Sample price/quantity data — price_data","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. ILO, IMF, OECD, UNECE, World Bank. (2004). Producer Price Index Manual: Theory Practice. International Monetary Fund.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Sample price/quantity data — price_data","text":"Adapted tables 3.1 3.2 Balk (2008), adapted tables 19.1 19.2 PPI manual.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_data.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Sample price/quantity data — price_data","text":"","code":"# Recreate tables 3.4, 3.6, and 3.12 from Balk (2008)  index_formulas <- function(p1, p0, q1, q0) {   c(     harmonic_laspeyres = harmonic_index(\"Laspeyres\")(p1, p0, q0),     geometric_laspeyres = geometric_index(\"Laspeyres\")(p1, p0, q0),     laspeyres = arithmetic_index(\"Laspeyres\")(p1, p0, q0),     paasche = harmonic_index(\"Paasche\")(p1, p0, q1),     geometric_paasche = geometric_index(\"Paasche\")(p1, p0, q1),     palgrave = arithmetic_index(\"Palgrave\")(p1, p0, q1),     fisher = fisher_index(p1, p0, q1, q0),     tornqvist = geometric_index(\"Tornqvist\")(p1, p0, q1, q0),     marshall_edgeworth = arithmetic_index(\"MarshallEdgeworth\")(p1, p0, q1, q0),     walsh1 = arithmetic_index(\"Walsh1\")(p1, p0, q1, q0),     vartia2 = geometric_index(\"Vartia2\")(p1, p0, q1, q0),     vartia1 = geometric_index(\"Vartia1\")(p1, p0, q1, q0),     stuvel = stuvel_index(2, 2)(p1, p0, q1, q0)   ) }  round(t(mapply(index_formulas, price6, price6[1], quantity6, quantity6[1])), 4) #>    harmonic_laspeyres geometric_laspeyres laspeyres paasche geometric_paasche #> t1             1.0000              1.0000     1.000  1.0000            1.0000 #> t2             1.2542              1.3300     1.420  1.3824            1.4846 #> t3             1.1346              1.2523     1.345  1.2031            1.3268 #> t4             0.8732              1.1331     1.355  1.0209            1.3282 #> t5             0.5556              1.0999     1.440  0.7968            1.4153 #>    palgrave fisher tornqvist marshall_edgeworth walsh1 vartia2 vartia1 stuvel #> t1   1.0000 1.0000    1.0000             1.0000 1.0000  1.0000  1.0000 1.0000 #> t2   1.6096 1.4011    1.4052             1.4010 1.4017  1.4018  1.4024 1.4042 #> t3   1.4161 1.2721    1.2890             1.2656 1.2850  1.2897  1.2907 1.2742 #> t4   1.5317 1.1762    1.2268             1.1438 1.2193  1.2335  1.2392 1.1551 #> t5   1.6720 1.0712    1.2477             0.9801 1.1850  1.2540  1.2678 0.9770"},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":null,"dir":"Reference","previous_headings":"","what":"Price indexes — price_indexes","title":"Price indexes — price_indexes","text":"Calculate variety price indexes using information prices quantities two points time.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Price indexes — price_indexes","text":"","code":"arithmetic_index(type)  geometric_index(type)  harmonic_index(type)  laspeyres_index(p1, p0, q0, na.rm = FALSE)  paasche_index(p1, p0, q1, na.rm = FALSE)  jevons_index(p1, p0, na.rm = FALSE)  lowe_index(p1, p0, qb, na.rm = FALSE)  young_index(p1, p0, pb, qb, na.rm = FALSE)  fisher_index(p1, p0, q1, q0, na.rm = FALSE)  hlp_index(p1, p0, q1, q0, na.rm = FALSE)  lm_index(elasticity)  cswd_index(p1, p0, na.rm = FALSE)  cswdb_index(p1, p0, q1, q0, na.rm = FALSE)  bw_index(p1, p0, na.rm = FALSE)  stuvel_index(a, b)  arithmetic_agmean_index(elasticity)  geometric_agmean_index(elasticity)  lehr_index(p1, p0, q1, q0, na.rm = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Price indexes — price_indexes","text":"type name index. See details possible types indexes. p1 Current-period prices. p0 Base-period prices. q0 Base-period quantities. na.rm missing values removed? default missing values prices quantities return missing value. q1 Current-period quantities. qb Period-b quantities Lowe/Young index. pb Period-b prices Lowe/Young index. elasticity elasticity substitution Lloyd-Moulton AG mean indexes. , b Parameters generalized Stuvel index.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Price indexes — price_indexes","text":"arithmetic_index(), geometric_index(), harmonic_index(), stuvel_index() return function compute relevant price indexes; lm_index(), arithmetic_agmean_index(), geometric_agmean_index() return function calculate relevant index given elasticity substitution. others return numeric value giving change price base period current period.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Price indexes — price_indexes","text":"arithmetic_index(), geometric_index(), harmonic_index() functions return function calculate given type arithmetic, geometric (logarithmic), harmonic index. Together, functions produce functions calculate following indexes. Arithmetic indexes Carli Dutot Laspeyres Palgrave Unnamed index (arithmetic mean Laspeyres Palgrave) Drobisch (Sidgwick, arithmetic mean Laspeyres Paasche) Walsh-(arithmetic Walsh) Marshall-Edgeworth Geary-Khamis Lowe Young Geometric indexes Jevons Geometric Laspeyres (Jöhr) Geometric Paasche Geometric Young Törnqvist (Törnqvist-Theil) Montgomery-Vartia / Vartia-Sato-Vartia / Vartia-II Walsh-II (geometric Walsh) Theil Rao Harmonic indexes Coggeshall (equally weighted harmonic index) Paasche Harmonic Laspeyres Harmonic Young Along lm_index() function calculate Lloyd-Moulton index, just convenient wrappers generalized_mean() index_weights(). Laspeyres, Paasche, Jevons, Lowe, Young indexes among common price indexes, get functions. laspeyres_index(), lowe_index(), young_index() functions correspond setting appropriate type arithmetic_index(); paasche_index() jevons_index() instead come harmonic_index() geometric_index() functions. addition indexes, also functions calculating variety indexes based generalized means. Fisher index geometric mean arithmetic Laspeyres Paasche indexes; Harmonic Laspeyres Paasche index harmonic analog Fisher index (8054 Fisher's list). Carruthers-Sellwood-Ward-Dalen Carruthers-Sellwood-Ward-Dalen-Balk indexes sample analogs Fisher index; Balk-Walsh index sample analog Walsh index. AG mean index arithmetic geometric mean geometric arithmetic Laspeyres indexes, weighted elasticity substitution. stuvel_index() function returns function calculate Stuvel index given parameters. Lehr index alternative Geary-Khamis index, implicit price index Fisher's index 4153.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Price indexes — price_indexes","text":"different ways deal missing values price index, care taken relying functions remove missing values. Setting na.rm = TRUE removes price relatives missing information, either missing price missing weight, using available non-missing information make weights. Certain properties index-number formula may work expected removing missing values ambiguity remove missing values weights (, e.g., Törnqvist Sato-Vartia index). balanced() operator may helpful, balances removal missing values across prices quantities prior making weights.","code":""},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Price indexes — price_indexes","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Fisher, . (1922). Making Index Numbers. Houghton Mifflin Company. IMF, ILO, Eurostat, UNECE, OECD, World Bank. (2020). Consumer Price Index Manual: Concepts Methods. International Monetary Fund. von der Lippe, P. (2007). Index Theory Price Statistics. Peter Lang. von der Lippe, P. (2015). Generalized Statistical Means New Price Index Formulas, Notes unexplored index formulas, interpretations generalizations. Munich Personal RePEc Archive paper . 64952. Selvanathan, E. . Rao, D. S. P. (1994). Index Numbers: Stochastic Approach. MacMillan.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/price_indexes.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Price indexes — price_indexes","text":"","code":"p0 <- price6[[2]] p1 <- price6[[3]] q0 <- quantity6[[2]] q1 <- quantity6[[3]] pb <- price6[[1]] qb <- quantity6[[1]]  #---- Calculating price indexes ----  # Most indexes can be calculated by combining the appropriate weights # with the correct type of mean  geometric_index(\"Laspeyres\")(p1, p0, q0) #> [1] 0.8705581 geometric_mean(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 0.8705581  # Arithmetic Laspeyres index  laspeyres_index(p1, p0, q0) #> [1] 0.9609929 arithmetic_mean(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 0.9609929  # Harmonic calculation for the arithmetic Laspeyres  harmonic_mean(p1 / p0, index_weights(\"HybridLaspeyres\")(p1, q0)) #> [1] 0.9609929  # Same as transmuting the weights  all.equal(   scale_weights(index_weights(\"HybridLaspeyres\")(p1, q0)),   scale_weights(     transmute_weights(1, -1)(p1 / p0, index_weights(\"Laspeyres\")(p0, q0))   ) ) #> [1] TRUE  # This strategy can be used to make more exotic indexes, like the # quadratic-mean index (von der Lippe, 2007, p. 61)  generalized_mean(2)(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 1.020762  # Or the exponential mean index (p. 62)  log(arithmetic_mean(exp(p1 / p0), index_weights(\"Laspeyres\")(p0, q0))) #> [1] 1.013369  # Or the arithmetic hybrid index (von der Lippe, 2015, p. 5)  arithmetic_mean(p1 / p0, index_weights(\"HybridLaspeyres\")(p1, q0)) #> [1] 1.084248 contraharmonic_mean(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) #> [1] 1.084248  # Unlike its arithmetic counterpart, the geometric Laspeyres can # increase when base-period prices increase if some of these prices # are small  gl <- geometric_index(\"Laspeyres\") p0_small <- replace(p0, 1, p0[1] / 5) p0_dx <- replace(p0_small, 1, p0_small[1] + 0.01) gl(p1, p0_small, q0) < gl(p1, p0_dx, q0) #> [1] TRUE  #---- Price updating the weights in a price index ----  # Chain an index by price updating the weights  p2 <- price6[[4]] laspeyres_index(p2, p0, q0) #> [1] 0.970922  I1 <- laspeyres_index(p1, p0, q0) w_pu <- update_weights(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) I2 <- arithmetic_mean(p2 / p1, w_pu) I1 * I2 #> [1] 0.970922  # Works for other types of indexes, too  harmonic_index(\"Laspeyres\")(p2, p0, q0) #> [1] 0.5112654  I1 <- harmonic_index(\"Laspeyres\")(p1, p0, q0) w_pu <- factor_weights(-1)(p1 / p0, index_weights(\"Laspeyres\")(p0, q0)) I2 <- harmonic_mean(p2 / p1, w_pu) I1 * I2 #> [1] 0.5112654  #---- Percent-change contributions ----  # Percent-change contributions for the Tornqvist index  w <- index_weights(\"Tornqvist\")(p1, p0, q1, q0) (con <- geometric_contributions(p1 / p0, w)) #> [1] -0.01158644 -0.13847426  0.02391956 -0.02607786  0.09431814 -0.00896725  all.equal(sum(con), geometric_index(\"Tornqvist\")(p1, p0, q1, q0) - 1) #> [1] TRUE  #---- Missing values ----  # NAs get special treatment  p_na <- replace(p0, 6, NA)  # Drops the last price relative  laspeyres_index(p1, p_na, q0, na.rm = TRUE) #> [1] 0.9684288  # Only drops the last period-0 price  sum(p1 * q0, na.rm = TRUE) / sum(p_na * q0, na.rm = TRUE) #> [1] 0.9948605  #---- von Bortkiewicz decomposition ----  paasche_index(p1, p0, q1) / laspeyres_index(p1, p0, q0) - 1 #> [1] -0.04099992  wl <- scale_weights(index_weights(\"Laspeyres\")(p0, q0)) pl <- laspeyres_index(p1, p0, q0) ql <- quantity_index(laspeyres_index)(q1, q0, p0)  sum(wl * (p1 / p0 / pl - 1) * (q1 / q0 / ql - 1)) #> [1] -0.04099992  # Similar decomposition for geometric Laspeyres/Paasche  wp <- scale_weights(index_weights(\"Paasche\")(p1, q1)) gl <- geometric_index(\"Laspeyres\")(p1, p0, q0) gp <- geometric_index(\"Paasche\")(p1, p0, q1)  log(gp / gl) #> [1] 0.1388242  sum(scale_weights(wl) * (wp / wl - 1) * log(p1 / p0 / gl)) #> [1] 0.1388242  #---- Consistency in aggregation ----  p0a <- p0[1:3] p0b <- p0[4:6] p1a <- p1[1:3] p1b <- p1[4:6] q0a <- q0[1:3] q0b <- q0[4:6] q1a <- q1[1:3] q1b <- q1[4:6]  # Indexes based on the generalized mean with value share weights are # consistent in aggregation  lm_index(0.75)(p1, p0, q0) #> [1] 0.8962918  w <- index_weights(\"LloydMoulton\")(p0, q0) Ia <- generalized_mean(0.25)(p1a / p0a, w[1:3]) Ib <- generalized_mean(0.25)(p1b / p0b, w[4:6]) generalized_mean(0.25)(c(Ia, Ib), c(sum(w[1:3]), sum(w[4:6]))) #> [1] 0.8962918  # Agrees with group-wise indexes  all.equal(lm_index(0.75)(p1a, p0a, q0a), Ia) #> [1] TRUE all.equal(lm_index(0.75)(p1b, p0b, q0b), Ib) #> [1] TRUE  # Care is needed with more complex weights, e.g., Drobisch, as this # doesn't fit Balk's (2008) definition (p. 113) of a generalized-mean # index (it's the arithmetic mean of a Laspeyres and Paasche index)  arithmetic_index(\"Drobisch\")(p1, p0, q1, q0) #> [1] 0.9412926  w <- index_weights(\"Drobisch\")(p1, p0, q1, q0) Ia <- arithmetic_mean(p1a / p0a, w[1:3]) Ib <- arithmetic_mean(p1b / p0b, w[4:6]) arithmetic_mean(c(Ia, Ib), c(sum(w[1:3]), sum(w[4:6]))) #> [1] 0.9412926  # Does not agree with group-wise indexes  all.equal(arithmetic_index(\"Drobisch\")(p1a, p0a, q1a, q0a), Ia) #> [1] \"Mean relative difference: 0.000735017\" all.equal(arithmetic_index(\"Drobisch\")(p1b, p0b, q1b, q0b), Ib) #> [1] \"Mean relative difference: 0.0004652739\""},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":null,"dir":"Reference","previous_headings":"","what":"Quantity index operator — quantity_index","title":"Quantity index operator — quantity_index","text":"Remaps price arguments quantity argument (vice versa) turn price index quantity index.","code":""},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Quantity index operator — quantity_index","text":"","code":"quantity_index(f)"},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Quantity index operator — quantity_index","text":"f price-index function.","code":""},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Quantity index operator — quantity_index","text":"function like f, except role prices/quantities reversed.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/quantity_index.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Quantity index operator — quantity_index","text":"","code":"p1 <- price6[[3]] p0 <- price6[[2]] q1 <- quantity6[[3]] q0 <- quantity6[[2]]  # Remap argument names to be quantities rather than prices  quantity_index(laspeyres_index)(q1 = q1, q0 = q0, p0 = p0) #> [1] 1.175887  laspeyres_index(p1 = q1, p0 = q0, q0 = p0) #> [1] 1.175887  # Works with the index_weights() functions, too  quantity_index(index_weights(\"Laspeyres\"))(q0 = q0, p0 = p0) #> [1] 0.96 2.70 2.47 0.91 6.58 0.48"},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":null,"dir":"Reference","previous_headings":"","what":"Scale weights — scale_weights","title":"Scale weights — scale_weights","text":"Scale vector weights sum 1.","code":""},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Scale weights — scale_weights","text":"","code":"scale_weights(x)"},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Scale weights — scale_weights","text":"x strictly positive numeric vector.","code":""},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Scale weights — scale_weights","text":"numeric vector sums 1. NAs x result sums 1 values removed.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/scale_weights.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Scale weights — scale_weights","text":"","code":"scale_weights(1:5) #> [1] 0.06666667 0.13333333 0.20000000 0.26666667 0.33333333"},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":null,"dir":"Reference","previous_headings":"","what":"Splice an index series — splice_index","title":"Splice an index series — splice_index","text":"Splice collection index series computed rolling window one index series. Splicing multiple points combines results geometric mean.","code":""},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Splice an index series — splice_index","text":"","code":"splice_index(x, periods = NULL, initial = NULL, published = FALSE)"},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Splice an index series — splice_index","text":"x list equal-length numeric vectors giving period--period indexes window. periods integer vector giving splice points window. default splices point window. initial numeric vector giving initial period--period index series onto elements x spliced. default uses first element x. published splice done published series? default splices using recalculated index series.","code":""},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Splice an index series — splice_index","text":"numeric vector giving spliced (fixed-base) index series.","code":""},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Splice an index series — splice_index","text":"Chessa, . G. (2019). Comparison Index Extension Methods Multilateral Methods. Paper presented 16th Meeting Ottawa Group Price Indices, 8-10 May 2019, Rio de Janeiro, Brazil. Krsinich, F. (2016). FEWS index: Fixed effects window splice. Journal Official Statistics, 32(2), 375-404.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/splice_index.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Splice an index series — splice_index","text":"","code":"# Make an index series over a rolling window x <- list(c(1.1, 0.9, 1.2), c(0.8, 1.3, 1.4), c(1.3, 1.3, 0.8))  # Mean splice  splice_index(x) #> [1] 1.100000 0.990000 1.188000 1.686819 1.284405  # Movement splice  splice_index(x, 3) #> [1] 1.10000 0.99000 1.18800 1.66320 1.33056  # Window splice  splice_index(x, 1) #> [1] 1.10000 0.99000 1.18800 1.60160 1.18976  # Splicing on the published series preserves the within-window # movement of the index series  splice_index(x, 1, published = TRUE) #> [1] 1.10000 0.99000 1.18800 1.60160 1.33848"},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":null,"dir":"Reference","previous_headings":"","what":"Transmute weights — transmute_weights","title":"Transmute weights — transmute_weights","text":"Transmute weights turn generalized mean order \\(r\\) generalized mean order \\(s\\). Useful calculating additive multiplicative decompositions generalized-mean index, made nested generalized means (e.g., Fisher index).","code":""},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Transmute weights — transmute_weights","text":"","code":"transmute_weights(r, s)  nested_transmute(r1, r2, s, t = c(1, 1))  nested_transmute2(r1, r2, s, t = c(1, 1))"},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Transmute weights — transmute_weights","text":"r, s finite number giving order generalized mean. See details. r1 finite number giving order outer generalized mean. r2 pair finite numbers giving order inner generalized means. t pair strictly positive weights inner generalized means. default equal weights.","code":""},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Transmute weights — transmute_weights","text":"transmute_weights() returns function: nested_transmute() nested_transmute2() similarly return function:","code":"function(x, w = NULL){...} function(x, w1 = NULL, w2 = NULL){...}"},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Transmute weights — transmute_weights","text":"function transmute_weights(r, s) returns function compute vector weights v(x, w) nested_transmute(r1, r2, t, s) nested_transmute2(r1, r2, t, s) nested generalized means, generalizes result turning geometric mean arithmetic mean (vice versa) section 4.2 Balk (2008), Fisher mean arithmetic mean section 6 Reinsdorf et al. (2002), although usually important cases. See Martin (2021) details. nested_transmute2() takes slightly different approach nested_transmute(), generalizing van IJzeren arithmetic decomposition Fisher index (Balk, 2008, section 4.2.2) using approach Martin (2021), although cases results broadly similar. Transmuting weights returns value length x, missing values x weights return NA. Unless values NA, however, result still satisfy identities na.rm = TRUE.","code":"generalized_mean(r)(x, w) == generalized_mean(s)(x, v(x, w)) nested_mean(r1, r2, t)(x, w1, w2) ==   generalized_mean(s)(x, v(x, w1, w2))"},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"references","dir":"Reference","previous_headings":"","what":"References","title":"Transmute weights — transmute_weights","text":"Balk, B. M. (2008). Price Quantity Index Numbers. Cambridge University Press. Martin, S. (2021). note general decompositions price indexes. Prices Analytical Series, Statistics Canada catalogue . 62F0014M. Statistics Canada, Ottawa. Reinsdorf, M. B., Diewert, W. E., Ehemann, C. (2002). Additive decompositions Fisher, Törnqvist geometric mean indexes. Journal Economic Social Measurement, 28(1-2):51–61. Sydsaeter, K., Strom, ., Berck, P. (2005). Economists' Mathematical Manual (4th edition). Springer.","code":""},{"path":[]},{"path":"https://marberts.github.io/gpindex/reference/transmute_weights.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Transmute weights — transmute_weights","text":"","code":"x <- 1:3 y <- 4:6 w <- 3:1  #---- Transforming generalized means ----  # Calculate the geometric mean as an arithmetic mean and # harmonic mean by transmuting the weights  geometric_mean(x) #> [1] 1.817121 arithmetic_mean(x, transmute_weights(0, 1)(x)) #> [1] 1.817121 harmonic_mean(x, transmute_weights(0, -1)(x)) #> [1] 1.817121  # Transmuting the weights for a harmonic mean into those # for an arithmetic mean is the same as using weights w / x  all.equal(transmute_weights(-1, 1)(x, w), scale_weights(w / x)) #> [1] TRUE  # Transmuting the weights for an arithmetic mean into those # for a harmonic mean is the same as using weights w * x  all.equal(transmute_weights(1, -1)(x, w), scale_weights(w * x)) #> [1] TRUE  # Works for nested means, too  w1 <- 3:1 w2 <- 1:3  fisher_mean(x, w1, w2) #> [1] 1.825742  arithmetic_mean(x, nested_transmute(0, c(1, -1), 1)(x, w1, w2)) #> [1] 1.825742 arithmetic_mean(x, nested_transmute2(0, c(1, -1), 1)(x, w1, w2)) #> [1] 1.825742  # Note that nested_transmute() has an invariance property # not shared by nested_transmute2()  all.equal(   nested_transmute(0, c(1, -1), 1)(x, w1, w2),   transmute_weights(2, 1)(     x, nested_transmute(0, c(1, -1), 2)(x, w1, w2)   ) ) #> [1] TRUE  all.equal(   nested_transmute2(0, c(1, -1), 1)(x, w1, w2),   transmute_weights(2, 1)(     x, nested_transmute2(0, c(1, -1), 2)(x, w1, w2)   ) ) #> [1] \"Mean relative difference: 17.81836\"  #---- Monotonicity ----  # Transmuted weights increase when x is small and decrease # when x is large if r < s  transmute_weights(0, 1)(x, w) > scale_weights(w) #> [1]  TRUE FALSE FALSE  # The opposite happens when r > s  transmute_weights(1, 0)(x, w) > scale_weights(w) #> [1] FALSE  TRUE  TRUE  #---- Percent-change contributions ----  # Transmuted weights can be used to calculate percent-change # contributions for, e.g., a geometric price index  transmute_weights(0, 1)(x) * (x - 1) #> [1] 0.0000000 0.3122793 0.5048413 geometric_contributions(x) # the more convenient way #> [1] 0.0000000 0.3122793 0.5048413  #---- Basket representation of a price index ----  # Any generalized-mean index can be represented as a basket-style # index by transmuting the weights, which is how some authors # define a price index (e.g., Sydsaeter et al., 2005, p. 174)  p1 <- 2:6 p0 <- 1:5  qs <- transmute_weights(-1, 1)(p1 / p0) / p0 all.equal(harmonic_mean(p1 / p0), sum(p1 * qs) / sum(p0 * qs)) #> [1] TRUE"},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-061","dir":"Changelog","previous_headings":"","what":"Version 0.6.1","title":"Version 0.6.1","text":"CRAN release: 2024-04-12 Updated maintainer email. Added parameter generalize geks() controlling indexes averaged rolling window. Fixed bug transmute_weights() factor_weights() return result different length w. Added new function splice_index() splicing indexes calculated rolling window (previously sketched example). transmute_weights() now faster.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-060","dir":"Changelog","previous_headings":"","what":"Version 0.6.0","title":"Version 0.6.0","text":"CRAN release: 2023-11-15 Bumped minimum version R least 4.0. use ... grouped() balanced() deprecated, removed future version. behavior can using anonymous function. Added walsh_geks() function. back_period() base_period() gain new argument match_first control whether products first period match return NA. Updated documentation. Added brief vignette.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-050","dir":"Changelog","previous_headings":"","what":"Version 0.5.0","title":"Version 0.5.0","text":"CRAN release: 2023-08-08 back_price() base_price() removed. Functions transforming weights keep attributes weights (), documented. grouped() longer mangles names.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-043","dir":"Changelog","previous_headings":"","what":"Version 0.4.3","title":"Version 0.4.3","text":"CRAN release: 2022-05-01 back_price() base_price() deprecated favor general back_period() base_period() functions. removed future version. algorithm making GEKS indexes now much faster rolling window.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-042","dir":"Changelog","previous_headings":"","what":"Version 0.4.2","title":"Version 0.4.2","text":"CRAN release: 2022-01-26 functions overall structure package fairly stable now . Added nested_transmute() nested_transmute2() transmuting weights nested generalized means. consistent argument names, first two arguments nested_mean() nested_contributions*() now r1 r2. Added geometric Theil Rao indexes.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-039","dir":"Changelog","previous_headings":"","what":"Version 0.3.9","title":"Version 0.3.9","text":"CRAN release: 2021-11-26 Added back_period() base_period(), general back_price() base_price(). Added lehr_index(). Fixed rare warning sqrt() making NaNs generalized_logmean(-1) inputs close equal, despite NaNs showing result. lm_index() *_agmean_index() functions now function factories.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-036","dir":"Changelog","previous_headings":"","what":"Version 0.3.6","title":"Version 0.3.6","text":"CRAN release: 2021-10-02 Added balanced() operator make easier remove NAs price index functions. Added geks() function using price-index function (e.g., fisher_index()) makes GEKS index.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-034","dir":"Changelog","previous_headings":"","what":"Version 0.3.4","title":"Version 0.3.4","text":"CRAN release: 2021-08-04 Added French translations. Made number optimizations make results generalized_mean(), extended_mean(), lehmer_mean(), transmute_weights(), factor_weights() faster common cases. Added grouped() operator make functions work grouped data.","code":""},{"path":"https://marberts.github.io/gpindex/news/index.html","id":"version-031","dir":"Changelog","previous_headings":"","what":"Version 0.3.1","title":"Version 0.3.1","text":"CRAN release: 2021-07-07 function names changed less awkward; e.g., mean_generalized() now generalized_mean(), contributions_geometric() now geometric_contributions(). unfortunately backwards compatible, needed done. Added nested_mean() function calculate nested generalized means , e.g., Fisher index. interface nested_contributions() now much simpler, function focused making contributions Fisher indexes. Added nested_contributions2() function implements different algorithm. Added arithmetic_agmean_index() geometric_agmean_index() functions calculate AG mean index. Added functions standard outlier-detection methods price relatives. Dropped scale argument generalized_mean(), really wasn’t needed potential make problems solved.","code":""}]
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