{%- extends "pydata_sphinx_theme/layout.html" %}

{% block css %}
    {# Preconnect to CDNs for faster resource loading #}
    <link rel="preconnect" href="https://unpkg.com" crossorigin>
    <link rel="preconnect" href="https://cdn.jsdelivr.net" crossorigin>
    <link rel="preconnect" href="https://fonts.googleapis.com" crossorigin>
    <link rel="preconnect" href="https://fonts.gstatic.com" crossorigin>

    {# External libraries with SRI for security #}
    <script src="https://unpkg.com/@popperjs/core@2.9.2/dist/umd/popper.min.js" integrity="sha384-IQsoLXl5PILFhosVNubq5LC7Qb9DXgDA9i+tQ8Zj3iwWAwPtgFTxbJ8NT4GN1R8p" crossorigin="anonymous"></script>
    <script src="https://unpkg.com/tippy.js@6.3.1/dist/tippy-bundle.umd.js" integrity="sha384-bq5PNg/ZcfW7KMvFSmhjqCQJ/VFnec+6sZkctn/4ZLeubkn7U58Le4zFFSn3dhUu" crossorigin="anonymous"></script>
    <script src="https://cdn.jsdelivr.net/npm/feather-icons/dist/feather.min.js" integrity="sha384-qEqAs1VsN9WH2myXDbiP2wGGIttL9bMRZBKCl54ZnzpDlVqbYANP9vMaoT/wvQcf" crossorigin="anonymous"></script>
    {% if mathjax_version == 3 %}
        <script>
            MathJax = {
            loader: {load: ['[tex]/boldsymbol', '[tex]/textmacros']},
            tex: {
                packages: {'[+]': ['boldsymbol', 'textmacros']},
                inlineMath: [['$', '$'], ['\\(', '\\)']],
                processEscapes: true,
                macros: {
                    "argmax" : "arg\\,max",
                    "argmin" : "arg\\,min",
                    "col"    : "col",
                    "Span"   :  "span",
                    "epsilon": "\\varepsilon",
                    "EE": "\\mathbb{E}",
                    "PP": "\\mathbb{P}",
                    "RR": "\\mathbb{R}",
                    "NN": "\\mathbb{N}",
                    "ZZ": "\\mathbb{Z}",
                    "aA": "\\mathcal{A}",
                    "bB": "\\mathcal{B}",
                    "cC": "\\mathcal{C}",
                    "dD": "\\mathcal{D}",
                    "eE": "\\mathcal{E}",
                    "fF": "\\mathcal{F}",
                    "gG": "\\mathcal{G}",
                    "hH": "\\mathcal{H}",
                }
            },
            svg: {
                fontCache: 'global',
                scale: 0.92,
                displayAlign: "center",
            },
            };
        </script>
    {% endif %}
    {{ super() }}
{% endblock %}
{% block extrahead %}

<!-- Normal Meta Tags -->
<meta name="author" context="{{ author | e }}" />
<meta name="keywords" content="{{ theme_keywords | e }}" />
<meta name="description" content={{ theme_description | e }} />

<!-- Twitter tags -->
<meta name="twitter:card" content="summary" />
<meta name="twitter:site" content="@{{ theme_twitter | e }}" />
<meta name="twitter:title" content="{% if pagetitle %}{{ pagetitle | e }}{% else %}{{ title | e }}{% endif %}"/>
<meta name="twitter:description" content="{{ theme_description | e }}">
<meta name="twitter:creator" content="@{{ theme_twitter | e }}">
<meta name="twitter:image" content="{{ theme_twitter_logo_url | e }}">

<!-- Opengraph tags -->
<meta property="og:title" content="{% if pagetitle %}{{ pagetitle | e }}{% else %}{{ docstitle | e }}{% endif %}" />
<meta property="og:type" content="website" />
<meta property="og:url" content="{{ pageurl | e }}" />
<meta property="og:image" content="{{ theme_og_logo_url | e }}" />
<meta property="og:description" content="{{ theme_description | e }}" />
<meta property="og:site_name" content="{{ docstitle | e }}" />
<meta name="theme-color" content="#ffffff" />

{# hreflang tags for SEO — language alternate links #}
{% if theme_languages and theme_languages | length > 1 %}
{% for lang in theme_languages %}
<link rel="alternate" hreflang="{{ lang.code }}" href="{{ lang.url }}/{{ pagename }}.html" />
{% endfor %}
<link rel="alternate" hreflang="x-default" href="{{ theme_languages[0].url }}/{{ pagename }}.html" />
{% endif %}
{% endblock %}

{# Silence the sidebar's, relbar's #}
{% block header %}{% endblock %}
{% block relbar1 %}{% endblock %}
{% block relbar2 %}{% endblock %}
{% block sidebarsourcelink %}{% endblock %}

{% block body_tag %}
<body{% if master_doc == pagename %} class="main-index{% if use_pygments_style %} use-pygments-style{% endif %}{% if inline_literal_box %} inline-literal-box{% endif %}"{% elif use_pygments_style or inline_literal_box %} class="{% if use_pygments_style %}use-pygments-style{% endif %}{% if inline_literal_box %}{% if use_pygments_style %} {% endif %}inline-literal-box{% endif %}"{% endif %}{% if theme_enable_rtl %} dir="rtl"{% endif %}>
{%- endblock %}
{%- block content %}

<!-- Prevent flash of light theme when dark mode is saved -->
<script>
(function() {
  try {
    if (localStorage.setContrast === '1') {
      document.body.classList.add('dark-theme');
      document.documentElement.setAttribute('data-theme', 'dark');
    } else {
      document.documentElement.setAttribute('data-theme', 'light');
    }
  } catch(e) {
    document.documentElement.setAttribute('data-theme', 'light');
  }
})();
</script>

<!-- Override QuantEcon theme colors -->
{%- if not theme_quantecon_project %}
<style>
a {
    color: #313131;
}
a:hover {
    color: #313131;
}
a:visited {
  color: #111111;
}

/* Dark mode overrides for non-QuantEcon project link colors */
body.dark-theme a {
    color: #6cb6ff;
}
body.dark-theme a:hover {
    color: #91cdff;
}
body.dark-theme a:visited {
    color: #a08fff;
}

.main-index #qe-page-author-links {
    border-bottom: 5px solid #313131;
}

body.dark-theme .main-index #qe-page-author-links {
    border-bottom-color: #3a3a5c;
}

.qe-page__header {
  border-bottom: 5px solid #313131;
}

body.dark-theme .qe-page__header {
    border-bottom-color: #3a3a5c;
}

.qe-page__footer {
    border-top: 5px solid #313131;
}

body.dark-theme .qe-page__footer {
    border-top-color: #3a3a5c;
}

.toctree-wrapper .caption-text {
    color: #111111;
}

body.dark-theme .toctree-wrapper .caption-text {
    color: #d4d4e4;
}
</style>
{%- endif %}

<!-- Color scheme: applies scheme-specific body class -->
{%- if theme_color_scheme == 'none' %}
<script>document.body.classList.add('color-scheme-none');</script>
{%- elif theme_color_scheme == 'gruvbox' %}
<script>document.body.classList.add('color-scheme-gruvbox');</script>
{%- endif %}

    <span id="top"></span>

    <div class="qe-wrapper">

        <div class="qe-main">

            <div class="qe-page" id={{pagename}}>

                <div class="qe-page__toc">

                    {# Determine sticky TOC and autoexpand settings once #}
                    {% set is_sticky = theme_sticky_contents is defined and (theme_sticky_contents is sameas true or theme_sticky_contents == "True" or theme_sticky_contents == "true") %}
                    {% set is_autoexpand = theme_contents_autoexpand is defined and (theme_contents_autoexpand is sameas true or theme_contents_autoexpand == 'True' or theme_contents_autoexpand == 'true') %}

                    {% if is_sticky %}
                    <div class="inner sticky" data-autoexpand="{% if is_autoexpand %}true{% else %}false{% endif %}">
                    {%- else %}
                    <div class="inner">
                    {%- endif %}

                        {% set page_toc = generate_toc_html() %}

                        {%- if page_toc | length >= 1 %}
                        <div class="qe-page__toc-header">
                            On this page
                        </div>
                        {%- endif %}


                        <nav id="bd-toc-nav" class="qe-page__toc-nav">
                            {{ page_toc }}
                            <p class="logo">
                                {% if logo_url %}
                                    {% if theme_header_organisation_url %}
                                    <a href={{theme_header_organisation_url}}><img src="{{ pathto(logo_url, 1) }}" class="logo logo-img" alt="logo"></a>
                                    {% if theme_dark_logo %}
                                    <a href={{theme_header_organisation_url}}><img src="{{ pathto('_static/' + theme_dark_logo, 1) }}" class="dark-logo-img" alt="logo"></a>
                                    {% endif %}
                                    {% else %}
                                    <a href="{{ master_url }}"><img src="{{ pathto(logo_url, 1) }}" class="logo" alt="logo"></a>
                                    {% endif %}
                                {% endif %}
                            </p>

                            <p class="powered">Powered by <a href="https://jupyterbook.org/v1/">Jupyter Book</a></p>

                        </nav>

                        <div class="qe-page__toc-footer">
                            {# prev/next buttons #}
                            {% macro prev_next(prev, next, prev_title='', next_title='') %}
                            {%- if next %}
                            <p><a class='right-next' id="next-link" href="{{ next.link|e }}" title="{{ _('next page')}}"><strong>Next topic</strong><br>
                                    {{ next_title or next.title }}</a></p>
                            {%- endif %}
                            {%- if prev %}
                            <p><a class='left-prev' id="prev-link" href="{{ prev.link|e }}" title="{{ _('previous page')}}"><strong>Previous topic</strong><br>
                                    {{ prev_title or prev.title }}</a></p>
                            {%- endif %}
                            {% endmacro %}
                            {% if is_sticky %}
                            {# Back to top button is placed outside inner container and handled by JavaScript #}
                            {% else %}
                            <p><a href="#top"><strong>Back to top</strong></a></p>
                            {% endif %}
                        </div>

                    </div>

                    {% if is_sticky %}
                    <a href="#top" class="back-to-top-btn" title="Back to top">↑ Top</a>
                    {% endif %}

                </div>

                <div class="qe-page__header">

                    <div class="qe-page__header-copy">

                        <p class="qe-page__header-heading"><a href="{{ master_url }}">{{ docstitle | e }}</a></p>

                    </div>

                    <!-- Authors section -->
                    {%- if theme_authors | length > 0 %}
                        <p class="qe-page__header-authors" font-size="{{theme_mainpage_author_fontsize}}">
                            {% for author in theme_authors %}
                                {% if loop.last and theme_authors|length >= 2 %}
                                    and <a href="{{ author.url }}" target="_blank"><span>{{ author.name }}</span></a>
                                {% elif loop.first and theme_authors|length <= 2 %}
                                    <a href="{{ author.url }}" target="_blank"><span>{{ author.name }}</span></a>
                                {% else %}
                                    <a href="{{ author.url }}" target="_blank"><span>{{ author.name }}</span></a>,
                                {% endif %}
                            {% endfor %}
                        </p>
                    {%- else %}
                        <p class="qe-page__header-authors" font-size="{{theme_mainpage_author_fontsize}}">{{ author }}</p>
                    {%- endif %}

                    <!-- Last modified / Changelog dropdown -->
                    {%- if has_git_info %}
                        <button class="qe-page__header-changed" id="changelog-toggle" aria-expanded="false">
                            Last changed: {{ last_modified_date }}
                            <span class="changelog-icon">▼</span>
                        </button>
                    {%- endif %}

                    <!-- Changelog dropdown content -->
                    {%- if has_git_info and changelog_entries %}
                    <div class="qe-page__header-changelog" id="changelog-content" aria-hidden="true">
                        <h4>Changelog {% if theme_repository_url and theme_source_file %}(<a href="{{ theme_repository_url }}/commits/main/{{ theme_source_file }}">full history</a>){% endif %}</h4>
                        <ul class="changelog-list">
                            {% for entry in changelog_entries %}
                            <li class="changelog-entry">
                                {% if theme_repository_url %}
                                <a href="{{ theme_repository_url }}/commit/{{ entry.hash }}" class="changelog-hash">{{ entry.hash }}</a>
                                {% else %}
                                <span class="changelog-hash">{{ entry.hash }}</span>
                                {% endif %}
                                <span class="changelog-author">{{ entry.author }}</span>
                                <span class="changelog-time">{{ entry.relative_time }}</span>
                                <span class="changelog-message">{{ entry.message }}</span>
                            </li>
                            {% endfor %}
                        </ul>
                    </div>
                    {%- endif %}

                </div> <!-- .page__header -->



                {% block docs_main %}
                <main class="qe-page__content" role="main">
                    {% block docs_body %}
                    <div>
                        {% block body %} {% endblock %}
                    </div>
                    {% endblock %}
                </main> <!-- .page__content -->
                {% endblock %}


                <footer class="qe-page__footer">

                    <p><a href="https://creativecommons.org/licenses/by-sa/4.0/"><img src="https://licensebuttons.net/l/by-sa/4.0/80x15.png"></a></p>

                    <p>Creative Commons License &ndash; This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International.</p>

                    <p>A theme by <a href="https://quantecon.org">QuantEcon</a></p>

                </footer> <!-- .page__footer -->

            </div> <!-- .page -->

            {% block docs_sidebar %}

            {% if theme_persistent_sidebar is defined and theme_persistent_sidebar is sameas true %}
            <div class="qe-sidebar bd-sidebar inactive persistent" id="site-navigation">
            {%- else %}
            <div class="qe-sidebar bd-sidebar inactive" id="site-navigation">
            {%- endif %}

                <div class="qe-sidebar__header">


                    Contents

                </div>

                <nav class="qe-sidebar__nav" id="qe-sidebar-nav" aria-label="Main navigation">
                    {{ sbt_generate_toctree_html(include_item_names=False, with_home_page=theme_home_page_in_toc) }}
                </nav>

                <div class="qe-sidebar__footer">

                </div>

            </div> <!-- .sidebar -->
            {% endblock %}
        </div> <!-- .main -->

        <div class="qe-toolbar">

            <div class="qe-toolbar__inner">

                <ul class="qe-toolbar__main">
                    <li data-tippy-content="Table of Contents" class="btn__sidebar"><i data-feather="menu"></i></li>
                    <li data-tippy-content="Home"><a href="{{ master_url }}"><i data-feather="home"></i></a></li>
                    {%- if theme_quantecon_project %}
                    <li class="btn__qelogo"><a href="{{theme_header_organisation_url}}" title="{{html_title}}"><span class="show-for-sr">{{ theme_header_organisation}}</span></a></li>
                    {%- endif %}
                </ul>

                <ul class="qe-toolbar__links">
                    <li class="btn__search">
                        <form action="{{ pathto('search') }}" method="get">
                            <input type="search" class="form-control" name="q" id="search-input" placeholder="{{ theme_search_bar_text }}" aria-label="{{ theme_search_bar_text }}" autocomplete="off" accesskey="k">
                            <i data-feather="search" id="search-icon"></i>
                        </form>
                    </li>
                    <li data-tippy-content="Fullscreen" class="btn__fullscreen"><i data-feather="maximize"></i></li>
                    <li data-tippy-content="Increase font size" class="btn__plus"><i data-feather="plus-circle"></i></li>
                    <li data-tippy-content="Decrease font size" class="btn__minus"><i data-feather="minus-circle"></i></li>
                    <li data-tippy-content="Change contrast" class="btn__contrast"><i data-feather="sunset"></i></li>
                    {%- if notebook_path %}
                    <li data-tippy-content="Download Notebook"><a href="{{ notebook_path }}" download><i data-feather="download-cloud"></i></a></li>
                    {%- endif %}
                    {%- if theme_nb_repository_url %}
                    <li class="settings-button" id="settingsButton"><div data-tippy-content="Launch Notebook"><i data-feather="play-circle"></i></div></li>
                    {%- endif %}
                    {%- if pdf_book_path %}
                        <li class="download-pdf" id="downloadButton"><i data-feather="file"></i></li>
                    {%- else %}
                        <li data-tippy-content="Download PDF" onClick="window.print()"><i data-feather="file"></i></li>
                    {%- endif %}
                    <!--
                    # Enable if looking for link to specific document hosted on GitHub
                    <li data-tippy-content="View Source"><a target="_blank" href="{{ theme_repository_url }}{{github_sourcefolder}}/{{ sourcename }}" download><i data-feather="github"></i></a></li>
                    -->
                    <li data-tippy-content="View Source"><a target="_blank" href="{{ theme_repository_url }}" download><i data-feather="github"></i></a></li>
                    {# Language Switcher — far right of toolbar, only when multiple languages configured #}
                    {% if theme_languages and theme_languages | length > 1 %}
                    <li class="btn__language" data-tippy-content="Switch language">
                        <div class="language-switcher">
                            <button class="language-switcher__toggle" aria-label="Switch language" aria-expanded="false" aria-haspopup="true">
                                <i data-feather="globe"></i>
                            </button>
                            <ul class="language-switcher__menu">
                                {% for lang in theme_languages %}
                                <li role="none">
                                    <a role="menuitem" href="{{ lang.url }}/{{ pagename }}.html"
                                       hreflang="{{ lang.code }}"
                                       {% if lang.code == theme_current_language %}aria-current="true" class="active"{% endif %}>
                                        {{ lang.name }}
                                    </a>
                                </li>
                                {% endfor %}
                            </ul>
                        </div>
                    </li>
                    {% endif %}
                </ul>

            </div>

        </div> <!-- .toolbar -->
        <div id="downloadPDFModal" style="display: none;">
            <ul class="pdf-options" style="display: block;">
                <li class="download-pdf-book" onClick="window.print()">
                    <p>Lecture (PDF)</p>
                </li>
                <li class="download-pdf-file">
                    <a href="{{ pdf_book_path }}" download><p>Book (PDF)</p></a>
                </li>
            </ul>
        </div>
        <div id="settingsModal" style="display: none;">
            <p class="modal-title"> Notebook Launcher </p>
            <div class="modal-desc">
            <p>
                Choose public or private cloud service for "Launch" button.
            </p>
            </div>
            <p class="modal-subtitle">Select a server</p>
            <ul class="modal-servers">
            <li class="active launcher-public">
                <span class="label">Public</span>
                <select id="launcher-public-input">
                {% for item in launch_buttons%}
                    <option value="{{item.url}}">{{item.name}}</option>
                {% endfor %}
                </select>
                <i class="fas fa-check-circle"></i>
            </li>
            <li class="launcher-private">
                <span class="label">Private</span>
                <input type="text" id="launcher-private-input" data-repourl="{{theme_nb_repository_url}}" data-urlpath="{{jupyterhub_urlpath}}" data-branch={{repo_branch}}>
                <i class="fas fa-check-circle"></i>
            </li>
            </ul>
            <p class="launch"><a href="{{default_server}}" id="advancedLaunchButton" target="_blank">Launch Notebook</a></p>
            <script>
                // QuantEcon Notebook Launcher
                const launcherTypeElements = document.querySelectorAll('#settingsModal .modal-servers li');
                // Highlight the server type if previous selection exists
                if (typeof localStorage.launcherType !== 'undefined') {
                  for (var i = 0; i < launcherTypeElements.length; i++) {
                    launcherTypeElements[i].classList.remove('active');
                    if ( launcherTypeElements[i].classList.contains(localStorage.launcherType) ) {
                      launcherTypeElements[i].classList.add('active');
                    }
                  }
                }
                // Highlight server type on click and set local storage value
                for (var i = 0; i < launcherTypeElements.length; i++) {
                  launcherTypeElements[i].addEventListener('click', function() {
                    for (var j = 0; j < launcherTypeElements.length; j++) {
                      launcherTypeElements[j].classList.remove('active');
                    }
                    this.classList.add('active');
                    if ( this.classList.contains('launcher-private') ) {
                      localStorage.launcherType = 'launcher-private';
                    } else if ( this.classList.contains('launcher-public') ) {
                      localStorage.launcherType = 'launcher-public';
                    }
                    setLaunchServer();
                  })
                }
                const launcherPublic = document.getElementById('launcher-public-input');
                const launcherPrivate = document.getElementById('launcher-private-input');
                const pageName = "{{pagename}}";
                const repoURL = "{{theme_nb_repository_url}}";
                const urlPath = "{{jupyterhub_urlpath}}";
                const branch = "{{repo_branch}}"
                const launchNotebookLink = document.getElementById('advancedLaunchButton');

                // Highlight public server option if previous selection exists
                if (typeof localStorage.launcherPublic !== 'undefined') {
                  launcherPublic.value = localStorage.launcherPublic;
                }
                // Update local storage upon public server selection
                launcherPublic.addEventListener('change', (event) => {
                  setLaunchServer();
                });
                // Populate private server input if previous entry exists
                if (typeof localStorage.launcherPrivate !== 'undefined') {
                  launcherPrivate.value = localStorage.launcherPrivate;
                }
                // Update local storage when a private server is entered
                launcherPrivate.addEventListener('input', (event) => {
                  setLaunchServer();
                });

                // Function to update the "Launch Notebook" link href
                function setLaunchServer() {
                  launchNotebookLink.removeAttribute("style")
                  if ( localStorage.launcherType == 'launcher-private' ) {
                    let repoPrefix = "/user-redirect/git-pull?repo=" + repoURL + "&branch=" + branch + "&urlpath=" + urlPath;
                    launcherPrivateValue = launcherPrivate.value
                    if (!launcherPrivateValue) {
                        launchNotebookLink.removeAttribute("href")
                        launchNotebookLink.style.background = "grey"
                        return
                    }
                    localStorage.launcherPrivate = launcherPrivateValue;
                    privateServer = localStorage.launcherPrivate.replace(/\/$/, "")
                    if (!privateServer.includes("http")) {
                        privateServer = "http://" + privateServer
                    }
                    launchNotebookLinkURL = privateServer + repoPrefix;
                  } else if ( localStorage.launcherType == 'launcher-public' ) {
                    launcherPublicValue = launcherPublic.options[launcherPublic.selectedIndex].value;
                    localStorage.launcherPublic = launcherPublicValue;
                    launchNotebookLinkURL = localStorage.launcherPublic;
                  }
                  if (launchNotebookLinkURL) launchNotebookLink.href = launchNotebookLinkURL;
                }
                // Check if user has previously selected a server
                if ( (typeof localStorage.launcherPrivate !== 'undefined') || (typeof localStorage.launcherPublic !== 'undefined') ) {
                  setLaunchServer();
                }
                </script>

        </div>

    </div> <!-- .wrapper-->
    {%- block scripts_end %}
    {%- endblock %}
{%- endblock %}

{% block docs_toc %}
{% endblock %}

{%- block footer %}
{%- endblock %}